{"text": "Aims and Fit of Module\nThis module provides an introduction into the formulation and analysis of mathematical models, covering graphical methods, differential equations as well as stochastic modeling. Graphical and stochastic modeling are powerful tools that allow one to model linear relationships among variables while accounting for the uncertainties of the data. These tools play an increasingly important role in modern applications of social and biomedical sciences. In the lectures, the participants will get hands-on training in both the fundamentals and applications of these modeling approaches to scientific problems.\nA Demonstrate an understanding on the outline, formulation, and utility of mathematical models.\nB Comprehend the elementary components of mathematical modeling such as scaling arguments, graph, optimization, and probability.\nC Apply ordinary differential equations to model the dynamics of a system.\nD Perform analysis of ODEs with local stability theorem and the global method.\nE Design a stochastic model using probabilistic building blocks such as random variables, Bernoulli trials, normal distribution, and linear regression.\nF Compensate the basic characteristics of networks, and be able to use graphs to represent complex relationships between variables.\nMethod of teaching and learning\nThis subject will be taught by a combination of lectures and tutorials. In lectures, students are introduced to the core concepts, major methodology and common topics of mathematical modeling. Tutorials are given as a platform to address any specific question or issue from individual students.", "label": "Yes"} {"text": "Can you hire someone to do math homework? Absolutely, yes. Now, you can hire Statistic Explained to do maths homework. Math is not an easy subject to deal with, and probably the worst path is you probably cannot get away from it for your entire life. It is due to the fact that math is a critical subject that continues to be a part of every education sector. For instance, in chemistry, you will have to solve equations. Even in biology, there is math. Math is omnipresent, and it scares students who are scared of it. There is no running from it, and the only way to get rid of it is to deal with it.\nHire Statistic Explained to do my math homework\nWhile some students can effectively deal with maths and its homework, let’s face one thing. Many students have a tough time dealing with maths. Besides, completing and submitting the homework can be way too much pressure for some students. In fact, students are known to have math-related nightmares. So, to avoid such a daunting task and accomplish math homework in time, students nowadays look for help to complete their math homework. And there is no better place to ask for help than a Statistic Explained.\nWhy did Hire Statistic explain to do my math homework?\nStatistic Explained is an online education service help provider. Here we dedicate our time and resources to ensure that some of the students’ struggles are well shared. We do so because we understand and value the importance of education. However, we equally, if not more, value the well-being and career prospects of the students who hire us for help. We acknowledge that assignments can be tough to do on their own, and therefore, we step in to relax some pressure caused by the deadline and tricky questions put in the math homework. Also, sharing is caring, and we care, and that is why we offer services to do the math homework.\nAlso Read: Discrete Math Homework Help\nHire Experts to do my math homework\nNow, if you were wondering how we would do your math homework, then here is your answer. Our team consists of several math experts and qualified professionals who willingly offer to help the students do their math homework from around the world. Yes, our services are available worldwide, and it is open 24/7. Also, since our experts and professionals are from around the world, you can completely expect us to provide service at any time at your convenience. Contact us at 5 AM in the morning, and we will be available. Contact us at midnight, and you will find us available online. So, basically, all you have to do to hire us is – Contact us. Once you do that, our representative will take care of the rest. Yes, hiring us is this simple, if you were wondering.\nMaster Math with our Experts and Professionals Assistance\nIf you thought that we just do the math homework, then here is a surprise for you. We don’t just do math homework; we even teach math. Our goal is not just to solve problems for you, but we also wish to remove the math insecurity and fear within you. It is because we want all our students to be great in their careers, and we understand that unless you have a good grasp of a subject, you can never do great in it. So, our experts will be available to guide and support behind just completing your math homework if you want to.\nOur Math Experts and Professionals are the best\nYes, we consider them the best because they have already proven their talents and skills. Besides, they have enough experience and knowledge to understand how different students learn differently. So, to ensure you grasp the math topics properly, they will adapt to a suitable type of teaching. Also, they seem to share some higher-level tricks that are easier to solve problems with. More importantly, schools and colleges will never teach you about them because they only stick with the syllabus.\nKnow More: Choose Result-Driven Math Exam Help Online!\nAt Statistics Explained, with in-house team of geniuses, offer professional services beyond measures, combining, learning, understanding, acquiring skills, and solving problems. The smart move to save time while learning to excel at the subject lies with Statistics Explained. The road to success is the hardest one and all we do is, give you a little push so that you can equip yourself better for the bigger battle.\nSay goodbye to worries and say ‘hi’ to Statistics Explained!\nQ: How can I hire someone to do my math homework?\nA: Just contact us through our email – email@example.com or contact +1(863)240-2673.\nQ: Are Math Homework helpers available 24*7?\nA: Yes, how can I hire someone to do my math homework service is available 24/7.", "label": "Yes"} {"text": "There are two classes A, B, all samples of N = N_A + N_B.\nAnd extracted 500 feature values for each sample, as Feature of each of them. As below:\nFor the Feature of each of N = N_A + N_B, what kind of mathematical description can describe/discuss it well?\nAt present, the method I’m thinking of is, after extracting all the image sample feature of class A and class B, add the feature values by class and then average them, that is,\nThen for the feature_A and feature_B, each PCA (and similar value) obtained is a feature that represents the whole class. From the perspective of feature engineering, can such a method work?", "label": "Yes"} {"text": "Mathematical Induction HELP!\nUse the principle of mathematical induction to prove the following:\ncosθ + cos3θ + cos5θ ... + cos(2n-1)θ = [sin 2nθ]/[2sinθ] for all positive n\nsinθ + sin3θ + sin5θ ... + sin(2n-1)θ = [1-cos2nθ]/[2sinθ] for all positive n\n1 + cisθ + cis2θ ... + cis nθ = [1-cis(n+1)θ] / [1-cisθ] where cisθ doesn't equal 1, n is greater than or equal to 1\nI have solved these for n=1, so i said P(k)=1 is true (n=k), but now I am onto P(k)= k+1, and I am really stuck!\nAny help would be greatly appreciated!\nThanks in advance =]", "label": "Yes"} {"text": "Hi! I had my hcg drawn on a Thursday and then Monday so 4 days/96 hours. When I put them into the hcg calculator it tells me they are doubling every 53 hours at a rate of 84%.\nWhen my doctor called she said the numbers are only doubling 40% and she’s worried. Can someone help me?\n1st was 158\n2nd was 542", "label": "Yes"} {"text": "Remembering how to will help us in this lesson. Let's try a practice problem to review.\nWrite the number \"sixty six hundredths\" as a decimal.\nThis video looks at how to write decimals in percentage form.\nWrite 0.23 as a percentage.\nThis video looks at how to write percentages in decimal form.\nWrite 90\\% as a decimal.\nMake connections between equivalent fractions, decimals and percentages", "label": "Yes"} {"text": "Florida State University - Financial Math Club\nAmount Raised: $32.12\ntake action >\nsupport us >\nBecome a Supporter\n208 Love Building 1017 Academic WayTallahassee, FL 32306-4510\nGraduate Organization at Florida State University that networks, educates, and further develops students in financial math programs.\nEducation – Higher Ed", "label": "Yes"} {"text": "Recognition for Outstanding Student and Faculty Work\nNote: Student names are given in italics.\nState, National and International Awards\nJonathan Hodge: Dr. Hodge and student co-authors Geoff Patterson and Emily Marshall received one of the two George Pólya Awards in 2011 for their article, \"Gerrymandering and Convexity\" published in the College Mathematics Journal in 2010. The article was the result of the group's work during 2008 summer REU.\nTwo Grand Valley mathematics students performed impressively in the 2011 William Lowell Putnam Mathematical Competition. The competition, referred to as the “World's Toughest Math Test” by Time magazine, is an annual competition for undergraduate college students in the United States and Canada. In the 2011 exam, Todd Peterson scored 8 points and was ranked 923rd, while Tanner Swett received 20 points and was ranked 316th among 4440 participants. Tanner made it to the top 500 list, which is a standard benchmark for performance. His score was the highest score ever achieved by a Grand Valley student, despite the fact that the 2011 exam was the most difficult in recent history.\nLeah Wischmeyer :Leah, one of our mathematics majors seeking elementary certification, won a Miriam Schaefer Scholarship from Michigan Council of Teachers of Mathematics in 2011.\nAlexis Johnson: Alexis, who participated in mathematics research in the BYU REU program in Summer 2011, won an MAA Outstanding Presentation Award for her talk \"Word Length in Alternate Presentations of Tompson's Group F\" at the national mathematics conference MathFest 2011.\nDavid Austin: Dr. Austin was awarded the 2012 University Outstanding Teacher Award by the GVSU Pew FTLC. This award recognizes one outstanding teacher each year for their teaching excellence in the classroom, disciplinary expertise, and student mentoring.\nSteve Schlicker: Dr. Schlicker was awarded the 2011 Distinguished Undergraduate Mentoring Award by the GVSU Center for Scholarly and Creative Excellence. This award recognizes one faculty mentor for their excellence in mentoring undergraduate researchers.\nState and National Grants\nSteve Schlicker: Dr. Schlicker received a grant in 2011 for his project titled \"The Academy of Inquiry Based Learning\" from the Academy of Inquiry Based Learning.\nChar Beckmann: Dr. Beckmann received a grant in 2012 for her project titled \"Family Math Summer Learning Loss Mitigation Project\" from the Michigan Space Grants Consortium.", "label": "Yes"} {"text": "Place Value and Transformation\nFourth graders have a class discussion about fraction and negative numbers that were in the coordinates. They plot and read ordered numbered pairs. They transform ordered pairs and explore transformation of figures on a plane.\n3 Views 0 Downloads\nSaxon Math Intermediate 5 - Student Edition\nExpand your resource library with this collection of Saxon math materials. Covering a wide range of topics from basic arithmetic and place value, to converting between fractions, decimals, and percents, these example problems and skills...\n4th - 6th Math CCSS: Adaptable\nIntegrating Gandhian Principles of Communal Unity in Mathematics\nFourth through sixth graders incorporate Gandhian principles into Math curriculum. They explore Gandhi's teachings on communal unity and economic equality. This has quite a bit of information about Gandhi and his observations and...\n4th - 6th Math", "label": "Yes"} {"text": "By A. Fumagalli1,2,3,4⋆, A. Saro1,2,3,4, S. Borgani1,3,2,4, T. Castro3,2,4, M. Costanzi1,3,2.. Courtois, Hélène…\n« We validate a semi-analytical model for the covariance of real-space 2-point correlation function of galaxy clusters. Using 1000 PINOCCHIO light cones mimicking the expected Euclid sample of galaxy clusters, we calibrate a simple model to accurately describe the clustering covariance. Then, we use such a model to quantify the likelihood analysis response to variations of the covariance, and investigate the impact of a cosmology-dependent matrix at the level of statistics expected for the Euclid survey of galaxy clusters.\n« We find that a Gaussian model with Poissonian shot-noise does not correctly predict the covariance of the 2-point correlation function of galaxy clusters. By introducing few additional parameters fitted from simulations, the proposed model reproduces the numerical covariance with 10 per cent accuracy, with differences of about 5 per cent on the figure of merit of the cosmological parameters Ωm and σ8. Also, we find that the cosmology-dependence of the covariance adds valuable information that is not contained in the mean value, significantly improving the constraining power of cluster clustering. Finally, we find that the cosmological figure of merit can be further improved by taking mass binning into account. Our results have significant implications for the derivation of cosmological constraints from the 2-point clustering statistics of the Euclid survey of galaxy clusters… »", "label": "Yes"} {"text": "Did you know that students learn better when they are given a variety of strategies to use in math? This way they can find the strategy that works best for them. Finding a strategy that works is extremely important when teaching math. As teachers, we always have to remember that not all students learn the same way.\nSubtracting large numbers is always a difficult skill for students to learn, especially when regrouping is involved. Many of my students struggle with how to do this. There are actually 4 easy strategies for subtracting large numbers that I will share below!\n1. Subtract using Base 10 blocks\nTeaching students to subtract using base 10 blocks shows them really important math skills:\nIt is hands-on and engaging.\nThey learn to draw diagrams.\nThey learn to use objects.\nTeaching them to subtract with base ten blocks shows students the \"why\" of both addition and subtraction. It shows how the numbers are put together and taken apart to get their final answer. This is extremely important for students to learn how things work in order for them to understand the algorithm. This is also especially important when students have to regroup. If your school does not supply them, I have found them affordable here on Amazon!\nStudents should understand what regrouping actually means and that it is more than just carrying the 1 and dropping a number. I liked to make sure my students had a really solid foundation of regrouping before moving on to the next concept. When I teach subtraction using base 10 blocks, I like to use Base 10 Student Anchor Charts with my class.\n2. Subtract using Expanded Form\nNext, try teaching students to subtract using expanded form. They can simply break larger numbers into expanded form and then subtract each place value before putting them back together.\nHere is an example of using expanded form to subtract:\nEX: 456 -235 = (400+50+6) - (200+30+5) = 200+20+1 = 221.\nStudents can get additional practice writing numbers in expanded form if needed by using this Understanding Place Value Activity.\n3. Subtract using the Algorithm\nThe algorithm is for more advanced learners who understand the \"why\" of how the numbers work together. This is also known as \"old math\" (like we were taught!) This is simply following the steps. The algorithm is harder for students to memorize and understand if they do not have a strong foundation for what the numbers mean or the true meaning of regrouping. Subtracting using the algorithm is also harder for students to compute mentally when regrouping is involved.\n4. Subtract Using the The Townhouse Regrouping Method\nA hard concept with subtracting is dealing with regrouping multiple place values. For example the problem, 1,008 - 569.\nStudents struggle with going all the way to the thousands place but having to make the hundreds and tens into 9. My favorite strategy for teaching this is using the townhouse method.\nHere’s how to use the Townhouse Method for Subtraction:\nThe ones place (house) wants to bake cookies for grandparents day. They need to use 9 cups of sugar but they only have 8 so they go next door. That neighbor says they have 0 cups of sugar, but because she stopped there, they now want to make cookies and need some sugar.\nSo then the ones goes to the hundreds (house) to ask for sugar but they also have zero cups. Now that house also wants to make cookies.\nFinally, go to the thousands house to ask for sugar. They finally have \"1\" cup of sugar! But they are the thousands place so this really means that they have 1,000 cups!\nSo the ones place takes the \"1\" cup of sugar and shares it with the neighbors in between. She gives the hundreds house the 1,000 cup but that becomes a 9 (or 900) because she has to then give the tens house some making it a 9, then finally she has 10 cups of sugar in her ones house to be able to subtract the 9.\nMy students LOVE this strategy. As we practice it, I will switch up what is being made as well as the ingredients. I will also have students come up with the story at times.\nRemember-Not all Students Learn the Same\nRemember that all of your students are capable of finding the answer when subtracting large numbers that require regrouping. However, they may all use different ways to get to that answer. It is always so interesting when I have students come up and teach each other how they got their answer using Cognitively Guided Instruction. I love to see how differently everyone’s brain works!", "label": "Yes"} {"text": "This project is for someone that is already expert in NURBS and already has the code or knows how to do it.\nIf you are not familiar with NURBS coding please do not bid on this project.\nI need a set of NURBS code in VB to model a NURBS spline (not surface).\nThe inputs for the curve are:\n1. An array of control points on the X Y plane\nNote: The values of the X and Y points increase through the list.\n2. An array of weights\n3. Increment of points to calculate along the x axis\n(Note: this is the X Axis not the parameter of the curve.)\n(You will have to do a binary search to find this)\n4. The order\nThe return is:\n1. An array of the Y values at each X increment\nComputation speed is important.\nThere will be 20 control points for which 150 points will be computed, this should take less than 5 seconds on a 1 ghz computer.\nSee attached demo file for place to install NURBS code.\n1 freelancer byder i gennemsnit $100 på dette job\nI have the project already done in VB and it plots the calculated curve with any number of control point. I have also experience with bezier surfaces. How can I send you screen shot of my project?", "label": "Yes"} {"text": "Find time elapsed in a table (for loop)?\n1 回表示 (過去 30 日間)\nI have a table with two columns, TrialNumber and Minutes (attached).\nThe trials represented are\nUsing the Minutes column, how can I find how much time has elapsed for each of the trials?\nI think to do this I would want to subtract the last row with the trial and take the Minutes and subtract from the first row with the trial.\nThank you in advance for your help!\nMegumi Fukuda 2021 年 4 月 18 日\nDisclaimer: This anser is based on an assuption that the first row with a tt.TrialNumber contains the time ('tt.Minutes') where the trial actually started.\nYour comment \"I think to do this I would want to subtract the last row with the trial and take the Minutes and subtract from the first row with the trial.\" sounds sensible, and here is a snippet. duration_eachtrial should be what you want.\nallTrials = unique(tt.TrialNumber); % extract all the trials in the mat file\nfor idx_trial = 1:length(allTrials)\nduration_eachtrial(idx_trial) = tt.Minutes(tmp_trialidx(end))-tt.Minutes(tmp_trialidx(1));", "label": "Yes"} {"text": "Presentation on theme: \"Histogram A frequency plot that shows the number of times a response or range of responses occurred in a data set.\"— Presentation transcript:\n1 HistogramA frequency plot that shows the number of times a response or range of responses occurred in a data set.\n2 It can only be used to show continuous data What is a histogram?A histogram is like a bar chart, but there are some important differences.It can only be used to show continuous dataThe bars on a histogram touch. The bars found on a bar graph do not touch.It can only be used to show numerical dataThe data is always grouped.\n3 Histogram: Pros and Cons Advantages:Visually strongGood for determining the shape of the dataDisadvantages:Cannot read exact values because data is grouped into categoriesMore difficult to compare two data sets\n4 How do you make a histogram? Create a frequency table Count how many occurrences in the dataBe sure to create equal intervalsLabel the x and y axisChoose a scale to labelX and Y axis do not need to have the same scaleDraw a bar for each interval.The height of the bar is the frequency for that interval.Bars must touch but not overlap.\n5 Let’s try!A study collected the number of hours children watch TV. The collected the following number of hours: 8, 7, 5, 4, 9, 6, 3, 1, 7, 5, 4, 2, 3, 5, 2, 4, 3, 5, 7, 3, 6, 5, 3, 7, 2, 9, 6, 7, 8, 5, 4, 7, 3, 9, 4, 7, 3, 1, 2, 8, 5, 3, 7, 9, 5162738495\n6 Create the frequency table Number of hours of TVIII6II1IIII IIII7IIII28IIII IIII39IIII I4IIII III5FrequencyNumber of hours of TV141-3164-6157-9\n7 Label x and y axis (Choose your scale!) Draw the bars\n8 How To Compare Distributions Analyzing Histograms and Dot Plots\n9 Analyzing HistogramsWhen you compare two or more data sets, focus on the following four features:CenterSpreadShapeUnusual Features\n10 Analyzing Histograms and Dot Plots Center (It is the MEDIAN)!EXAMPLE\n11 To Find the Center:List out the numbers in order, smallest to largest, then find the median.6,6,6,7,8,8,8,9,10,10,10,10,10,11,12Center\n16 Analyzing Histograms and Dot Plots Shape The shape of a distribution is described by symmetry, amount of skew, number of peaks, etc.Skewed LeftEXAMPLESSymmetric, UnimodalSkewed Right\n17 3 Overall Shapes: Normal/Symmetrical: Skewed left: Skewed right: The shape is symmetrical around the middle.Skewed left:Most of the data is to the right, with a long tail to the left.Skewed right:Most of the data is to the left, with a long tail to the right.\n20 Analyzing Histograms Unusual Features Unusual features refer to gaps: areas of the distribution where there are no observations andOutliers: a data point that stands out from the rest. (1.5 times the IQR)EXAMPLESGapOutlier", "label": "Yes"} {"text": "A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.\nThe file type is\nThe rank of the average mixing matrix of trees with all eigenvalues distinct, is investigated. The rank of the average mixing matrix of a tree on n vertices with n distinct eigenvalues is bounded above by n /2 . Computations on trees up to 20 vertices suggest that the rank attains this upper bound most of the times. An infinite family of trees whose average mixing matrices have ranks which are bounded away from this upper bound, is given. A lower bound on the rank of the average mixing matrixdoi:10.13001/1081-3810.3746 fatcat:wheluqoxqrhmrgga2tvl6gf2y4", "label": "Yes"} {"text": "This finishes up the helix-curvature example started in the last video. Created by Grant Sanderson.\nWant to join the conversation?\n- At1:32, I'm wondering why dS(vector valued function)/dt is equal to ds(arc length)/dt ?(8 votes)\n- Grant answers this in the first Curvature formula video. We need a formula for arc length in terms of t (time). So any ideas of how to approximate the (arc) length of a curve/function?\nWell, Sal does a whole series of videos on this in Integral calculus. A tangent line would give you length of a curve at that instant. We have a method to calculate tangent lines, it's called derivatives. The sum of the magnitude of all the tangent lines would give you the arc length of the curve. We use the magnitude because we want the length of the tangent line. In Sal's video on the subject, he shows that:\n* arc length (s) = ∫ || dS/dt || *\nWhere S is the equation of the curve.\nSince we want the change in arc length, we can get rid of the integral sign. Leaving us with:\n* ds/dt = || dS/dt || *\nI hope this makes sense. :)(7 votes)\n- I tried to solve the problem, using the last formula you derived in the previous video (Curvature Formula, part 5), where you divided the cross product of the first derivative and second derivative of S(t) by the magnitude of the first derivative of S(t) to the third power, and I got a different result. I did not get a constant number, but rather a vector valued function in the denominator, divided by the third power of the same number you derived for the magnitude of the first derivative of S(t). Why? I checked the arithmetic, and everything seems to be in place.(4 votes)\n- ah yes, if my instruments in space lock up imma just be wondering the circle ill be traveling for the rest of my life XD\nfr tho i like the way u explain things, wish there was more 3b1b x khan(1 vote)\n- [Voiceover] So, where we left off, we were looking at this, this parametric function for a three dimensional curve, and what it draws, I showed you, was a helix in three dimensional space. And, we're trying to find it's curvature, which...the way you think about that, you have a circle... You're thinking of the circle that most closely hugs that curve, or you could imagine you're flying a spaceship and all your instruments lock up when you're turning, and you're wondering what circle in space you're going to trace out, and you're looking for one divided by the radius of that. Or if you prefer my, you know, kindergartner drawing skills, you could just look at the helix over here while we work it through. And, the part where we left off, we had this tangent vector function. This unit tangent vector function for our curve. So at every given value, T, whatever point that corresponds to on the curve, this function is going to give us the vector that is of unit length and tangent to the curve. And the ultimate goal, for curvature, is to find the derivative of that unit tangent vector, with respect to arclength. And specifically we want it's magnitude. And what that typically requires, and I talked about this in the videos on the formula, is you take it's derivative, with respect to the parameter, T, because that's the thing you can actually do, and that might not correspond to unit length, right? If you nudge the parameter, T, that might not nudge you a corresponding length on the curve. But you correct that by dividing out, by the derivative of the parameterization function, with respect to T. And that's actually arclength, this magnitude of the derivative of the parameterization with respect to T. Boy, is that a hard word. So, with our given function, let's go ahead and start doing that. And I think first, given that we have this kind of fractions and fractions form, I'm just going to start by writing it a little bit more simply. So our unit tangent vector function, that first component, where we're dividing by the square root of 26 divided by five, instead I'm just going to write that as negative five times the sine of t. So, I'm just kind of moving that five up into the numerator, divided by the root of 26, and I'll do the same thing for cosine, where we move that five up into the numerator. Cosine of t, divided by the root of 26, and then the last part, one fifth divided by square root of 26 fifths, gives us just one divided by square root of 26. Alright, so the first step in using our curvature formula is going to be to take the derivative of this guy, right? We need the derivative of the tangent vector function. So, we go ahead and start doing that. We see that d big T, d little t, so tangent vector function parameter, is equal to, and we just take the derivative of each component. So, negative five sine goes to negative five cosine. And we divide out by the constant, square root of 26. Similarly, five cosine goes to negative five sine, since the derivative of cosine is negative sine. Negative five sine divided by 26, or square root of 26. And the last component is just a constant, so derivative is nothing, it's zero. Next step, we're going to take the magnitude of that vector that we just found. So we're trying to find the magnitude of the derivative of the tangent vector function. So we say alright. Magnitude of what we just found, d big T, d little t, involves... so this magnitude will be the square root of, make the little tic there, square root of the sum of the squares of these guys. So the square of that first component is going to be 25, multiply by cosine squared, cosine squared of t, all divided by 26, right, because the square of the square root of 26 is 26. And then we add to that 25 times sine squared, sine squared of t, also divided by 26. And from that, we can factor out, factor out 25 over 26, inside that radical, because both terms involve multiplying by 25 and dividing by 26, and what we're left with is a nice, and friendly cosine/sine pair. The reason we love things involving circles. This always happens. Nice cancellation. This just becomes one, so what we're left with on the whole, is root 25 over 26. Pretty nice. Root 25 over 26. So for a curvature equation, we go up and we can start plugging that in. So we just found that numerator, and found that it was the square root of 25, divided by 26. The entire thing, 25 over 26. And we already found the magnitude of the derivative itself. That's one of the things we needed to do to find the tangent vector. That's where this 26 over five came from. I deleted it from where we did last video to make room, but if you look at the last video, you can see where we got the square root of 26 divided by five. And I'll actually write that as square root of 26 divided by 25, just that's how we originally found it, I'm just putting the five back under the radical. And it's tempting, if you aren't looking too closely, to think these guys cancel out, but it's actually they're the opposite of each other, right? One is 25 over 26 the other is 26 over 25. So if we put everything under the radical there it's going to say equals the square root. And we're going to have 25 over 26, divided by 26 over 25 and when we flip that bottom and multiply, what we get is 25 squared divided by 26 squared. And the root of that whole thing, just gives us 25 over 26, and that is our curvature. That right there, is the answer. That is the curvature. So it's a little bit greater than one. No, no, sorry. So, it's a little bit less than one, which means that you're curving a little bit less than you would if it was a circle with radius one. Which kind of makes sense if we look at the image here, because if the helix were completely flattened out, right, if you imagine squishing this down onto the xy plane, you'd just be going around a circle with radius one. But by kind of pulling that spring and pulling it so that there's a z component, you're making it a little bit more straight. So, the curvature should go down a little bit, because it's becoming a little bit more straight. The radius of curvature will go up. So that's the curvature of a helix, and that's a pretty good example of how you can find the curvature by walking through directly, the idea of finding dt/ds. And you know, getting that unit tangent vector. Getting the little unit arclength. And in the next example, I think I'll go through one where you just use the formula. Where it's something a little bit more complicated than thinking about this and you turn to the formula itself. And I'll see you then.", "label": "Yes"} {"text": "Download full text\nDownload full text\nERIC Number: ED354956\nRecord Type: RIE\nPublication Date: 1993\nThe AMATYC Review, Fall 1992-Spring 1993.\nCohen, Don, Ed.; Browne, Joseph, Ed.\nAMATYC Review, v14 n1-2 Fall 1992-Spr 1993\nDesigned as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, as well as regular features presenting book and software reviews and math problems. The first of two issues of volume 14 contains the following major articles: \"Technology in the Mathematics Classroom,\" by Mike Davidson; \"Reflections on Arithmetic-Progression Factorials,\" by William E. Rosenthal; \"The Investigation of Tangent Polynomials with a Computer Algebra System,\" by John H. Mathews and Russell W. Howell; \"On Finding the General Term of a Sequence Using Lagrange Interpolation,\" by Sheldon Gordon and Robert Decker; \"The Floating Leaf Problem,\" by Richard L. Francis; \"Approximations to the Hypergeometric Distribution,\" by Chitra Gunawardena and K. L. D. Gunawardena; and \"Generating 'JE(3)' with Some Elementary Applications,\" by John J. Edgell, Jr. The second issue contains: \"Strategies for Making Mathematics Work for Minorities,\" by Beverly J. Anderson; \"Two-Year Mathematics Pioneers,\" an interview with Allyn J. Washington; \"Using Linear Programming To Obtain a Minimum Cost Balanced Organic Fertilizer Mix,\" by Stephen J. Turner; \"Problems Whose Solutions Lie on a Hyperbola,\" by Steven Schwartzman; and \"The Shape of a Projectile's Path: Explorations with a Computer Algebra System,\" by John H. Mathews and Robert Lopez. (BCY)\nDescriptors: College Mathematics, Community Colleges, Computer Simulation, Functions (Mathematics), Linear Programing, Mathematical Applications, Mathematical Concepts, Mathematical Formulas, Mathematics Instruction, Mathematics Teachers, Technical Mathematics, Two Year Colleges\nAMATYC Treasurer, State Technical Institute at Memphis, 5983 Macon Cove, Memphis, TN 38134 (for libraries 2 issues free with $25 annual membership).\nPublication Type: Collected Works - Serials\nEducation Level: N/A\nAuthoring Institution: American Mathematical Association of Two-Year Colleges.\nGrant or Contract Numbers: N/A", "label": "Yes"} {"text": "12.5 __qadd16 intrinsic\nThis intrinsic inserts a\nQADD16 instruction into the instruction stream generated by the compiler.\nyou to perform two 16-bit integer arithmetic additions in parallel,\nsaturating the results to the 16-bit signed integer range -215 ≤ x ≤\n215 - 1.\nunsigned int __qadd16(unsigned int\n, unsigned int\nholds the first two 16-bit summands\nholds the second two 16-bit summands.\n__qadd16 intrinsic returns:\nThe returned results are saturated to the 16-bit signed integer\nrange -215 ≤ x ≤ 215 - 1.\nunsigned int add_halfwords(unsigned int val1, unsigned int val2)\nunsigned int res;\nres = __qadd16(val1, val2); /* res[15:0] = val1[15:0] + val2[15:0]\nres[16:31] = val1[31:16] + val2[31:16]", "label": "Yes"} {"text": "Express as rupees using decimals: 7 rupees 7 paise\nThere are 100 paise in 1 rupee. Therefore, if we want to convert paise into rupees, then we have to divide paise by 100\n7 Rs 7 paise = Rs 7 + Rs `7/100`\n= Rs 7.07\nConcept: Concept of Decimal Numbers\nIs there an error in this question or solution?", "label": "Yes"} {"text": "Students from middle school to college take pre-algebra. Pre-algebra is the basis of and introduction to all upper level mathematics. An understanding of pre-algebra concepts is a requirement for all future math and sciences courses.\nMuch of pre-algebra is a review of all previously taught mathematics concepts with the inclusion of upcoming previews algebraic equations and models. Some of the items covered in a pre-algebra course are: Tools of Algebra, Integers, Equations, Factors and Fractions, Rational Numbers, Ratios, Proportion & Percent, Linear Equations & Inequalities, Functions & Graphs, Real Numbers & Right Triangles, Two Dimensional Figures, Three Dimensional Figures, Statistics & Probability, Polynomials & Nonlinear, and Functions.\nFor most students success in pre-algebra comes from regular studying and practicing habits. However, for some, math in general is a foreign language. These students require more assistance than self-study; they need someone who can answer their questions in a way that they can understand. Hiring a professional tutor strong in mathematics to assist in pre-algebra now can make a dramatic difference in a student’s performance and outlook on all future course work.\nElementary school is the beginning of your child's education, where a life long love of learning should be fostered. The basic skills and study habits your child gains in elementary school are the tools that will carry him or her throughout life. Elementary students learn about reading, math, writing, spelling, science, social studies, music, art, computers, and physical education. Elementary school should be a positive, nurturing environment where children are introduced to learning.\nAs the 5th largest city in the United States, we are prepared to provide the most professional tutoring services available to Phoenix’s residents and students. As the population of Phoenix continues to grow, only 2nd to that of Las Vegas, we will continue to grow with it maintaining a database of highly qualified and experienced tutors to meet the people’s needs. We have tutors available for early elementary learners up to and including graduate students attending Arizona State University, Grand Canyon University, Argosy University and the other college campuses sprawling across Maricopa County. Our reputation as a premium service is evident in the hundreds of testimonials we have received from parents, students, and schools across the state of Arizona.\nOur Tutoring Service\nWe offer our clients only the very best selection of tutors. When you request a tutor for a certain subject, you get what you ask for. Our tutors are expertly matched to your individual needs based on the criteria you provide to us. We will provide you with the degrees, credentials, and certifications that each selected tutor holds. Equally important is the peace of mind we offer you knowing that each of our tutors has been cleared by a nation-wide criminal background check, a sexual predator check, and social security verification. We want you to have the same confidence in our tutors as we do.", "label": "Yes"} {"text": "Unit VII Assignment: Breaking Even\nBreakeven analysis uses two functions to describe the revenue and cost of a particular product. The breakeven point is the number of products that a business must produce and sell so that the money coming in is equal to the money going out. In this assignment, you will be asked to create a system of equations based on the cost and revenue of a particular business. You will solve the system to determine the business’s breakeven point.\nInstructions: Imagine that you are business owner who produced a particular item to sell in your new store. Answer questions 1–10. Save all of your work to this template and submit it in Blackboard for grading.\n- Briefly explain one item that you will be producing and selling in your store.\n- How much does the item cost you to produce? Consider the cost of materials and labor. Select an amount between $1 and $50. Round to the nearest dollar.\n|Cost per item produced =||$|\n- How much will you sell the product for? Select an amount between $1 and $100. The sold price must be more than what it costs to produce the item. Round to the nearest dollar.\n|Price per unit sold =||$|\n- Write the cost function, C(x), of producing x amount of items. Assume that you have a fixed cost $5,000. Replace the “?” with the appropriate numbers.\nC(x) = fixed cost + (cost per item produced)(x)\nC(x) = ? + (?)(x)\n- Write the revenue function, R(x), from the sale of x items. Replace the “?” with the appropriate numbers.\nR(x) = (price per item sold)(x)\nR(x) = (?)(x)\n- Replace C(x) and R(x) with y. This means that the cost and revenue will be the same. Write the system of equations below.\nY = write equation found for C(x)\nY = write equation found for R(x)\n- Use the substitution method to solve the system of equations found in question 6. The solution is the breakeven point. Show each step of your work below. Round your final answer for x to the nearest whole number and use the rounded value of x to solve for y. Round y to the nearest cent or to two decimal places.\n- How many items must you sell and produce in order to break even?\n- What does break-even mean? In your own words, include what the x and y-coordinates of the break-even point mean in your definition. You should not restate the coordinates you found above.\n- How many items will you need to sell in order to make a profit of $2,500? Round up to the nearest whole number.\nFirst, find P(x). To do this, substitute the expressions for R(x) and C(x) found in questions 4 and 5 into the equation below and simplify.\nP(x) = R(x) – C(x)\nNext, replace P(x) with 2500 into the equation above and solve for x. Round up to the nearest whole number. Show your work below.\nAnswer: You need to sell ____ items in order to make a profit of $2,500.", "label": "Yes"} {"text": "Advancement in many fields of study, especially to the graduate level, is abetted by training in mathematics.\nMathematics Program Information:\nThe mathematics minor is open to all students who wish to pursue a broad-based development of their mathematical knowledge and reasoning skills whether in pursuit of professional objectives or for personal interest. Students in the mathematics minor will have demonstrated basic proficiency in applied mathematics, specifically with regard to data analysis and calculus, as well as the capability of mastering more advanced concepts from a variety of fields including analysis, number theory, and mathematical modeling. Students seeking specific skill sets such as advanced data analysis methods may work with the program director to develop appropriate course opportunities.", "label": "Yes"} {"text": "00 each for 30 to 49 $ 14. These math sheets can be printed as extra teaching material for teachers extra math practice for kids as homework material parents can use. Math Coloring Pages. Welcome to the Math Salamanders' Fun Math Worksheets. Are you working with your students on furthering their number sense building up those addition subtraction facts? Just click on the coloring sheet title to view. If you have difficulty saving PDF program sheets: Windows: Right- click on link.\nOf course you' ll also find worksheets for practicing addition measurement, subtraction, multiplication, division, much more. ShillerLearning was the printed only program that could hold my son' s interest. Buy \" Print Bedding Sheets\" products like Nautica® Costazul Printed QUeen Sheet Set printed in Blue marimekko® Ajo Printed King Sheet Set in Black, Nautica® Somersby Printed Queen Sheet Set in Blue, Intelligent Design Triangle Printed Twin Sheet Set in Aqua Madison Park® Fretwork Cotton Printed Full Sheet Set in Aqua. Click on one of the links below to go to the category printed to open printed a new browser window with the play money sheet to download print. This star themed addition subtraction math facts game makes a great review a fun math center for facts within 10. w/ Blackline master work and self- testing sheets $ 22. Pre – K math worksheets – Printable PDF activities for math practice.This idea could be used in the classroom at school if you’ re a math teacher at home with your own kids if they’ re home- schooled ( even if they’ re not! Try Free printable worksheets from iPracticeMath designed for students, teachers parents! Worksheets are a great printed way to give your child some extra skills practice , introduce them to new concepts , ideas track their growth as they travel along their educational journey. It is an amazing addition to our homeschooling life. If you want to plan an activity that makes math even more fun, here’ s a set of math scavenger hunt questions you can use. There are lots of fun things you can do with math from doing math coloring sheets to solving puzzles playing games!\nWant to give your children extra math practice? Some additional math pages related to number sense include number charts ordinal numbers, rounding , ordering , , , estimating worksheets, worksheets about Roman numerals comparing numbers. Math Worksheets ( By Grade) These printable math worksheets are organized by Grade 1 Grade 2, , Grade 3 Grade 4. Student Audio CD of Phonograms. Printed math sheets. Select “ Save Target/ Link As” and choose a destination folder. Free printed Worksheets and Printables for Kids. Please use any of the free printable math coloring sheets below printed in your classroom printed at home. Excel Math Teacher Edition lesson plans CheckAnswer, summer school, Create A Problem, video introduction, printed scientific research, student worksheets, spiraling process .\nPrinted math sheets. This is a suitable resource page for preschoolers teachers parents. We hope that you find exactly printed what you need for your home or classroom! With our math sheet generator you can easily create new math worksheets that are never the same , providing you with an unlimited supply of math sheets to use in the classroom , always different at home. ShillerLearning has opened up a whole new way of learning for us. Play Money Play Money for Teaching Money Skills. 00 each for 50 or more. This section includes printable play money pages for teaching counting money skills. More challenging counting money, addition, printed measurement printed , geometry problems are provided, place value, , subtraction, time multiplication is introduced.\nFree Math Worksheets. com is an online resource used every day by thousands of teachers students parents.\nDinah has provided hundreds of learning tools and educational materials that are used nationally and internationally as instructional strategies by teachers. The cool math games in the virtual worlds at Math Blaster and JumpStart include fun multiplication games for kids. Kids can choose the level of difficulty of the multiplication problems they want to solve to gain more points and advance in the game. Get kids hooked on these exciting math games and watch their math grades go up! Section 4- 8 : Optimization.\nprinted math sheets\nIn this section we are going to look at optimization problems. In optimization problems we are looking for the largest value or the smallest value that a function can take. This fun, pirate- themed treasure chest math facts sort makes a great math center for Kindergarteners or First Graders to work on math facts to 10!", "label": "Yes"} {"text": "What happens when you add three numbers together? Will your answer be odd or even? How do you know?\nCan you arrange the digits 1,2,3,4,5,6,7,8,9 into three 3-digit\nnumbers such that their total is close to 1500?\nChoose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.\nThere is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?\nWhat do the digits in the number fifteen add up to? How many other\nnumbers have digits with the same total but no zeros?\nCan you substitute numbers for the letters in these sums?\nArrange eight of the numbers between 1 and 9 in the Polo Square\nbelow so that each side adds to the same total.\nThere are 44 people coming to a dinner party. There are 15 square\ntables that seat 4 people. Find a way to seat the 44 people using\nall 15 tables, with no empty places.\nTim had nine cards each with a different number from 1 to 9 on it.\nHow could he have put them into three piles so that the total in\neach pile was 15?\nUsing some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.\nZumf makes spectacles for the residents of the planet Zargon, who\nhave either 3 eyes or 4 eyes. How many lenses will Zumf need to\nmake all the different orders for 9 families?\nFill in the missing numbers so that adding each pair of corner\nnumbers gives you the number between them (in the box).\nBen’s class were making cutting up number tracks. First they\ncut them into twos and added up the numbers on each piece. What\npatterns could they see?\nTry adding together the dates of all the days in one week. Now\nmultiply the first date by 7 and add 21. Can you explain what\nA game for 2 people using a pack of cards Turn over 2 cards and try\nto make an odd number or a multiple of 3.\nStart by putting one million (1 000 000) into the display of your\ncalculator. Can you reduce this to 7 using just the 7 key and add,\nsubtract, multiply, divide and equals as many times as you like?\nFill in the numbers to make the sum of each row, column and\ndiagonal equal to 34. For an extra challenge try the huge American\nFlag magic square.\nWhat is the largest number you can make using the three digits 2, 3\nand 4 in any way you like, using any operations you like? You can\nonly use each digit once.\nPlace the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?\nKatie had a pack of 20 cards numbered from 1 to 20. She arranged\nthe cards into 6 unequal piles where each pile added to the same\ntotal. What was the total and how could this be done?\nUse your logical reasoning to work out how many cows and how many\nsheep there are in each field.\nUsing the statements, can you work out how many of each type of\nrabbit there are in these pens?\nThree children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?\nThere are 78 prisoners in a square cell block of twelve cells. The\nclever prison warder arranged them so there were 25 along each wall\nof the prison block. How did he do it?\nThe sum of the first 'n' natural numbers is a 3 digit number in which all the digits are the same. How many numbers have been summed?\nExactly 195 digits have been used to number the pages in a book.\nHow many pages does the book have?\nLook carefully at the numbers. What do you notice? Can you make\nanother square using the numbers 1 to 16, that displays the same\nHow have the numbers been placed in this Carroll diagram? Which\nlabels would you put on each row and column?\nThis magic square has operations written in it, to make it into a\nmaze. Start wherever you like, go through every cell and go out a\ntotal of 15!\nYou have 5 darts and your target score is 44. How many different\nways could you score 44?\nWinifred Wytsh bought a box each of jelly babies, milk jelly bears,\nyellow jelly bees and jelly belly beans. In how many different ways\ncould she make a jolly jelly feast with 32 legs?\nThere were chews for 2p, mini eggs for 3p, Chocko bars for 5p and\nlollypops for 7p in the sweet shop. What could each of the children\nbuy with their money?\nThis problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!\nThere are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2\nlitres. Find a way to pour 9 litres of drink from one jug to\nanother until you are left with exactly 3 litres in three of the\nUsing 3 rods of integer lengths, none longer than 10 units and not\nusing any rod more than once, you can measure all the lengths in\nwhole units from 1 to 10 units. How many ways can you do this?\nHow could you put eight beanbags in the hoops so that there are\nfour in the blue hoop, five in the red and six in the yellow? Can\nyou find all the ways of doing this?\nWrite the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.\nLolla bought a balloon at the circus. She gave the clown six coins\nto pay for it. What could Lolla have paid for the balloon?\nPlace the digits 1 to 9 into the circles so that each side of the\ntriangle adds to the same total.\nTen cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?\nThe clockmaker's wife cut up his birthday cake to look like a clock\nface. Can you work out who received each piece?\nCan you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99\nHow many ways can you do it?\nUse 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?\nFind the numbers in this sum\nThese two group activities use mathematical reasoning - one is\nnumerical, one geometric.\nFind out what a Deca Tree is and then work out how many leaves\nthere will be after the woodcutter has cut off a trunk, a branch, a\ntwig and a leaf.\nRam divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?\nThe Scot, John Napier, invented these strips about 400 years ago to\nhelp calculate multiplication and division. Can you work out how to\nuse Napier's bones to find the answer to these multiplications?\nCan you make square numbers by adding two prime numbers together?\nAdd the sum of the squares of four numbers between 10 and 20 to the\nsum of the squares of three numbers less than 6 to make the square\nof another, larger, number.", "label": "Yes"} {"text": "Notes > Foundations of Computing > Number Systems\nA number system is a set of rules and symbols used to represent a number. There are several different number systems. Some examples of number systems are as follows:\nDecimal and Hexidecimal numbers can each be represented using binary. This enables decimal, hexidecimal, and other number systems to be represented on a computer which is based around binary (0 or 1 / off or on).\n- Binary (base 2)\n- Decimal (base 10)\n- Hexidecimal (base 16)\nThe base (or radix) of a number system is the number of units that is equivalent to a single unit in the next higher counting space. In the decimal number system, the symbols 0-9 are used in combination to represent a number of any size. For example, the number 423 can be viewed as the following string of calculations:\n(4 x 100) + (2 x 10) + (3 x 1) = 400 + 20 + 3 = 423\nIt is important to note why binary numbers are used in computers and why, for example, the decimal number system is not used as the standard number system. Firstly, all number systems can be derived from binary therefore it is appropriate for a computer system which will have to deal with many different number systems.\nA bit can have one of two values (0 or 1) and any physical medium capable of switching between two states (such as a transistor) may be used to represent a bit. A computer's circuitry involves voltage signals which have different levels (low or high) that represent a binary 0 or 1. A transistor can therefore be used as a physical representation of a bit. An elementary building block for a computer therefore is a transistor.\nAn example of binary representation:\nThe word \"DAD\" is represented by the bits contained in three bytes as follows: 00000100 00000001 00000100\nThe word \"DAD\" is typed into the computer system using an external input device (such as a keyboard) then this is stored temporarily in memory as a string of bits while it is being displayed on an external output device (Visual Display Unit).\nSwitching Theory forms the mathematical foundation for digital circuits. Switching Theory concentrates on switching functions that describe in/output relationships typically in digital circuits.\nSearch for \"Number Systems\" on:\neBay (UK) |\nSearch for \"Number Systems\" on the rest of Computing Students: Number Systems", "label": "Yes"} {"text": "If the marginal revenue is MR=25-5x-2x^2 and marginal cost is MC=15-2x-x^2 where x is the output, find the output that maximizes profit and the maximum profit.\nThe marginal revenue is given by MR = 25 - 5x - 2x^2 and marginal cost MC = 15 - 2x - x^2.\nProfit is maximized when MR = MC\n=> 25 - 5x - 2x^2 = 15 - 2x - x^2\n=> x^2 + 3x - 10 = 0\n=> x^2 + 5x - 2x - 10 = 0\n=> x(x + 5) - 2(x + 5) = 0\n=> (x - 2)(x + 5) = 0\n=> x = 2 and x = -5\nBut as x cannot be negative, the root x = -5 can be eliminated.\nProfit is maximized at an output of x = 2.\nTo find the maximum profit the value of revenue - cost at x = 2 has to be determined but this cannot be done as integration introduces a constant that cannot be determined.\nThe profit is maximized at an output of 2 though the maximum profit cannot be determined.", "label": "Yes"} {"text": "One of the most well-known lottery games is the Pick 3 game. Pick 3 games are not just luck-based. There are a few lottery games that involve numbers and the player can win money. One clever and calculated guess can make a player rich in no time. Pick 3 lottery games, which are numbers betting, is the best of all. Pick 3 lotteries have low risks and are easy to win if you apply mathematics correctly.\nOne strategy is to count the number of times a particular digit appears in a given time period. This could be 30 days. This can be repeated for all digits of a pick three game. Next, take the three digits appearing the most often and then box. You can play straight or as starting or end pairs in the next drawing.\nSearch for winning pick3 strategies in your browser to learn how you can win the lottery. Then, review the strategies and methods you find. You can find many websites, including some by well-known people, that will help you win at pick three games.\nThere may be a lot of uncertainty in lotteries because numbers might not be involved. Luck games like dice, casino, etc. It is live draw sgp extremely difficult to achieve success in these games where numbers are not used. There is always a chance to win if numbers are involved. This can be done by using mathematical formulae and tools. Experts have advocated theories that can identify the likelihood of numbers appearing in lotteries. Guaranteed 3 number methods are a good way to ensure you get the best 3 numbers possible and place a bet.\nLotteries don’t just make easy money. However, there are many ways to earn good money. Lotteries can be a great way to make a living and try your luck. It is possible to win the lottery without it being illegal. You can win in number games that you can use mathematics to your advantage and be certain of winning.", "label": "Yes"} {"text": "Brian Rotman, 27 November 1997\nShow More Fermat’s Last Theorem: Unlocking the Secret of an Ancient Mathematical Problem by Amir Aczel.\nViking, 147 pp., £9.99, May 1997, 0 670 87638 0Show More\n“... explication for a non-specialist audience presents a serious challenge. It is to his credit that Amir Aczel makes an effort to provide just such an account. In his delightfully simple and brief book, part detective chase and part mathematical popularisation, he manages to convey not the substance of these connections (which is impossible) but the ...”", "label": "Yes"} {"text": "Expanding convex immersed closed plane curves\n- First Online:\n- Cite this article as:\n- Lin, TC., Poon, CC. & Tsai, DH. Calc. Var. (2009) 34: 153. doi:10.1007/s00526-008-0180-7\n- 101 Downloads\nWe study the evolution driven by curvature of a given convex immersed closed plane curve. We show that it will converge to a self-similar solution eventually. This self-similar solution may or may not contain singularities. In case it does, we also have estimate on the curvature blow-up rate.", "label": "Yes"} {"text": "This is a tutorial on how to find the area of a triangle. To show the viewer how it is done, the video walks us through a simple example step by step. The first step is to find the base and the height (in this example 5 and 6). The next step is to multiply them together (making 30). Next, the answer is divided by two (to get 15). Finally, the units are written next to the answer (in this case inches squared). This is beneficial as it is a very easy and user friendly way of learning how to find the area of a triangle.\nWant to master Microsoft Excel and take your work-from-home job prospects to the next level? Jump-start your career with our Premium A-to-Z Microsoft Excel Training Bundle from the new Gadget Hacks Shop and get lifetime access to more than 40 hours of Basic to Advanced instruction on functions, formula, tools, and more.\nOther worthwhile deals to check out:\n- 97% off The Ultimate 2021 White Hat Hacker Certification Bundle\n- 98% off The 2021 Accounting Mastery Bootcamp Bundle\n- 99% off The 2021 All-in-One Data Scientist Mega Bundle\n- 59% off XSplit VCam: Lifetime Subscription (Windows)\n- 98% off The 2021 Premium Learn To Code Certification Bundle\n- 62% off MindMaster Mind Mapping Software: Perpetual License\n- 41% off NetSpot Home Wi-Fi Analyzer: Lifetime Upgrades", "label": "Yes"} {"text": "The postcritical set P(f) of a rational map f: P1→ P1 is the smallest forward invariant subset of P1 that contains the critical values of f. In this paper we show that every finite set X⊂ P1(Q¯) can be realized as the postcritical set of a rational map. We also show that every map F: X→ X defined on a finite set X⊂ P1(C) can be realized by a rational map f: P(f) → P(f) , provided we allow small perturbations of the set X. The proofs involve Belyi’s theorem and iteration on Teichmüller space.\nASJC Scopus subject areas\n- General Mathematics", "label": "Yes"} {"text": "View Full Version : volum of solid\nThe front, side, and bottom faces of a rectangular solid have areas of 24 square cm, 8 square cm, and 3 square cm, respectively. What is the volume of the solid, in cubic centimeters? :?: :?: :?:\nThe sides are a, b & c\nThat gives three equations in three unknowns.\nwhat should I do next to solve for a, b, c?\nThe first step might be dividing\nac/bc = a/b = 8/3\nThat gives two equations in two unknowns.\nThanks alot for your help\nI've figured out a=4,b=3,and c=2.\nBetter check your work.\nand don't forget you are after the volume.\nI think I know where I made the mistake\nis a=8, b=3, c=1?\nYa got it now.\nPowered by vBulletin® Version 4.2.2 Copyright © 2014 vBulletin Solutions, Inc. All rights reserved.", "label": "Yes"} {"text": "Any pixel in a digital movie file can be described as a point in 6-dimensional Euclidean space [x,y,R,G,B,t]. the rotations in 6-dimensioal space converts curve in form to gradation in colour, colour to motion in time axis, motion to curve and curve to colour. relations beween all of pixels are mathematically conserved through the conversion.\nthis visual object is “mathematically” digital colour movie data itself as sequence of numbers. it’s a nature of data.", "label": "Yes"} {"text": "Degrees and Certifications:\nMr. Jason Thompson\nIm a graduate from Clements High School and Texas Southern University. I have began my teaching and coachng in 2009, I have been at Clements High School since 2020. I will be teaching Algebra I and Algebraic Reasoning this school year.", "label": "Yes"} {"text": "We are sorry to announce the death of distinguished mathematician and educationalist Dame Kathleen Ollerenshaw.\nBorn in 1912 and deaf since the age of eight, Kathleen was an undergraduate at Somerville College where she completed her doctorate in 1945 on \"Critical Lattices\" under the supervision of Theo Chaundy. She wrote five original research papers which were sufficient for her to earn her DPhil degree without the need of a formal written thesis.\nAfter the Second World War. Kathleen worked as a part-time lecturer in the School of Mathematics at Manchester University (it was not until after the war that at the age of 37 she received her first effective hearing aid). Kathleen wrote many important research papers, her best-known work being on most-perfect pandiagonal magic squares. She became President of the Institute of Mathematics and its Applications from 1978-1979 and an annual public lecture at the School of Mathematics in Manchester is named in her honour.\nKathleen was also politically active, serving as a Conservative Councillor for Rusholme for twenty-six years (1956–1981), and as Lord Mayor of Manchester (1975–1976). She was also involved in the creation of the Royal Northern College of Music. She was made a Freeman of the City of Manchester and was an advisor on educational matters to Margaret Thatcher's government in the 1980s.\nComposer Sir Peter Maxwell Davies dedicated his Naxos Quartet No.9 to her. She died in Didsbury, Manchester on August 10th 2014.", "label": "Yes"} {"text": "NATIONAL MATHEMATICS DAY\nMathematics is the language of numbers, it has become a basic necessity for everyone like daily transactions, calculating wages and more. For school students, Mathematics is a bipolar subject either it’s your favorite subject or worst nightmare. But when you really understand the subject, you’ll fall in love with it.\nOne such person was ‘Srinivasa Ramanujan’ a renowned Indian mathematician who dedicated his life for the subject. Indian government to honor on Srinivasa Ramanujan contributions to mathematics decided to observe National Mathematics day annually on his birth anniversary. National Mathematics day 2018 will be on 22nd December, Saturday.\n10 Interesting Facts about Srinivasa Ramanujan\nIndia is known for its contributions to the field of mathematics, many brilliant mathematicians have represented India and Srinivasa Ramanujan was one of them\n- Born in a Tamil Brahmin family on 22nd December 1887, Ramanujan was a bright student winning many academic prizes. From an early age, Ramanujan was exposed to the world and the mystery of mathematics.\n- The earlier writers of Srinivasa Ramanujan Biography describe him as a strictly religious person as an introvert with quiet and shy nature.\n- His first mathematical paper on Bernoulli numbers was published in Indian Mathematical Society Journal in the year 1911.\n- Ramanujan got his breakthrough when the mathematician G.H Hardy validated his work and he became the scholar at the University of Madras. Hardy enthusiastically invited Ramanujan to Cambridge, in the year 1914 Ramanujan went to England for a collaboration with Hardy.\n- One of the significant results of Hardy-Ramanujan collaboration was a formula for the number p(n) of partitions of a number n. “I have never met his equal, and can compare him only with Euler or Jacobi” were Hardy’s opinion of Ramanujan.\n- In 1916 Cambridge conferred him the ‘Bachelor of science degree’\n- He was also the first Indian to get the fellowship of the royal society in the year 1918.\n- The change in environment deteriorated Ramanujan health and he returned to India in 1919. The later year 1920, he died at the age of 32.\n- Ramanujan was best known for his intuitions and handling infinite series, continued fractions.\n- Apart from Ramanujan’s published work, he left behind several handwritten notebooks which have become a significant object for research. Many Mathematicians have written papers on these notes.\nMathematics day celebration\n- Math day is celebrated with educational events in numerous Indian schools and universities with many dignitaries inspiring students by their national mathematics day speech\n- Former Prime Minister Manmohan Singh on Ramanujan’s 125th birth anniversary dedicated the year 2012 as National Mathematics Year.\n- Karnataka State Council for Science and Technology officially organizes many activities and science projects every year for the Math day celebration\n- Maths day in schools is observed with many educational activities like interacting with experts, workshops, writing essay on mathematics day and Srinivasa Ramanujan etc.., to eradicate the mathematics phobia in kids and inspire them to enjoy learning mathematics.\nSrinivasa Ramanujan was a brilliant mathematician who made India renowned with his contributions, Himalai IAS coaching salutes this great personal on National mathematics day as a part of our India with world events.", "label": "Yes"} {"text": "Title . Requests to retake the test are likely to be denied. Dependent upon the test scores received you may be eligible to receive course credit. Learn the good & bad for 250,000+ products It may have a special use for abstract visualization Free DIY food testing lab guide This new ionomics method was developed and has been used extensively by the Baxter lab Getting a Clue: 000F7EEC Getting a Clue: 000F7EEC. Dependent upon the test scores received you may be eligible to receive course credit. southampton press real estate transfers; phrases with scream in them A summary of course placements is below: Algebra score of 0-11.9 out of 30: Math 1103: Fundamentals of Algebra. HOW THE TEST SEQUENCE WORKS. Year . Solve for x and y: 1. x - y = 3 x + y = 2 2. x2 - 4y2 = 5 xy = 3 3. x2 + y2 = 4 x2 - 2y2 = 1 Part II: Equations of lines. Please talk to your advisors for alternative options. Choose either the Foundations Placement Pre-Test or the Advanced Placement Pre-Test, based on your child's general level of understanding. 7984: The Department of Mathematics has compiled a\nBrandeis University offers a test optional policy, which allows students to be considered for admission without SAT or ACT scores. Medical Labs (310) 337-9675. What do short answer and essay questions have in common Missouri S&T students seeking full-time employment after graduation or co-op or internship for the semester will have an opportunity to meet with a record number of employers at the 2019 Spring Career Fair on Tuesday, Feb Connect with hundreds of employers at our bi-annual career fair The exam will be given this term on. CHOOSE A PRE-TEST. YEARS WITH (657) 999-7972. Math Mammoth placement tests for grades 1-7 (free math assessment) These free diagnostic tests help you discover your child or student's level in math, and to find out EXACTLY where they have gaps (if any). Search: Kellogg Pointing Labs. See full list on microsoft One thing to consider is research experience for undergraduate (REU) placements over the summer New IRIM Research Accolades Machine Learning Reading Group @ CUED Machine Learning Seminar Group Advanced Tutorial Lecture Series on Machine Learning Non-Parametric Bayes Tutorial Course (October 9, 16 and 28, 2008) , SemRep, CaseOLAP, Many people make art to:1. Have student complete the appropriate sections while you observe. M,W 10:00 AM11:30 AM. Curso superior de psicologia a distancia gratuito IT Career Fair Handshake (Virtual) 9am-12:30pm: Hosted by the IS/CS Department in the College of Business, this event connects employers with students for internships and full-time jobs in the Information Systems and Computer Science disciplines facing national security, state, and industry Start studying Gatech CS If you need to take the exam at some other time (not necessarily at the beginning of the school year), this can be arranged, and you should contact me to make arrangements to take it. We are a leading research group in the field of quantum information processing with semiconductor quantum dots, and we are looking for a postdoctoral associate to join our team to pursue research in cutting edge problems in quantum The fall of Roe v. Wade equals the end of equitable educational access for women, Christina Christie and Eileen Strempel write. The result of your Placement Test will establish whether you enter a college Algebra course, spend a semester in a Remedial course of study or place out of the initial College Algebra class. BBB Rating: A. Website Directions More Info. Placement Diagnostic. Express personal thoughts and feelings. Mathematics Placement. You have the opportunity to utilize the free prep, review, and practice tools within ALEKS Published since 1866 continuously, Lehigh University course catalogs contain academic announcements, course descriptions, register of names of the instructors and administrators; information on buildings and grounds, and Lehigh history. Lack of preparation for the test is not cause for retaking the test. There is no time limit for the exam. The scores should be provided from the testing agency directly. Bellarmine Prep Math Placement Exam Information. Prerequisite: MATH 1B or AP Calculus AB or SAT Mathematics or ACT Mathematics. To help us address security risks, review the required protections, and learn how to implement them on Information Security for the HMS Community Authors may submit articles electronically, in In 1998, students at MIT and Harvard cre-ated the Harvard-MIT Math Tournament, an innovative and exciting math competi-tion, to encourage an 2000. For students who entered Brown University in the 2018-19 academic year, the middle 50% of students had composite YEARS WITH (888) 495-3593. No placement test is needed to take MATH 1000: Deans Seminar, MATH 1007: Mathematics and Politics or MATH 1009: Mathematical Ideas.\nDefault; Distance; Rating; Name (A - Z) Ad UDC Corporation. Computer Science Placement. Sort:Default. Lehigh Course Catalog (2000-2001) Date Created . Take the math placement exam if you plan to take Precalculus or Calculus 1. Search: Gatech Cs Career Fair. We've got articles, videos and forum discussions that provide answers to all of your test prep, admissions and college search questions. Search: Student Evaluation Form Pdf. Published since 1866 continuously, Lehigh University course catalogs contain academic announcements, course descriptions, register of names of the instructors and administrators; information on buildings and grounds, and Lehigh history.\nAP Calculus AB with a minimum score of 3. 6. Undergraduate Programs. New Student Programs provides your scores and placement to academic advisors prior to Advising & Registration and Transfer Advising Days. Search: Harvard Math Pdf. Through the points (1, 2) and (4, 5).\nAs a member, you'll also get unlimited access to over 84,000 lessons in math, English, science, history, and more. Brandeis is known for preparing students for medical school. For the question (s) you selected \"Unsure\", follow these steps: Download and print the Quick Check PDF for Student and Instructor. You can use our free online placement tools in math and/or English. Submit transcripts or AP test scores for any college-level Precalculus, Calculus 1, or higher level math courses you have earned. East Hass 3 08-09. The Math Placement Test can place students out of Math 1148 College Algebra, Math 1149 Trigonometry, and Math 1150 Precalculus. However, scores are recommended to help determine scholarship eligibility and Math & English placement. Make sure your preparation only includes the topics on the test - nothing more and nothing less. The profit, P, realized by a company varies directly as the number of products s it sells. The best test prep courses emphasize efficiency. Visit our COVID-19 resource page. Search: Kellogg Pointing Labs. 6167 Bristol Pkwy. Team Evaluation Form Completion of this form is mandatory and must be submitted to your faculty advisor Due to potential compatibility issues with various operating systems, we highly recommend that you install Evidence-Based Complementary and Alternative Medicine seeks to apply scientific rigor to the study of complementary and alternative medicine, emphasizing on health outcome, If youre being asked to take a math placement exam, you should expect to see questions covering a wide variety of math topics. Math Placement Exams for the Class of 2026 will be held on campus May 6 and 9, 2022. Search: Gatech Cs Career Fair. Science, Tech, Math Science Math Social Sciences Computer Science Animals & Nature Humanities History & Culture Visual Arts Literature English Geography Philosophy Issues Languages English as a Second Language Spanish French German Italian Japanese Mandarin Russian Resources For Students & Parents For Educators For Adult Learners About Us Brandeis University Department of Economics Sample Math Placement Test Part I: The calculus placement exam is a pdf document with three parts: Part A consists of 24 questions on topics in algebra and precalculus, Part B of 16 questions on topics from differential calculus and Part C of 16 questions on topics from integral calculus. If you are ineligible to apply but have the experience and interest to help out, you can become a reviewer or a mentor. Default; Distance; Rating; Name (A - Z) Ad UDC Corporation. Search: Harvard Math Pdf. MATHhelp.com offers a complete math placement test prep course. If a company makes a profit of $7800 on the sale of 325 products, what is the profit when the company sells 5000 products? Step 2: Use the answer key to grade your own test. It can also be given in the spring semester by request. Search: Gatech Cs Career Fair. Auto Repair & Service Automobile Salvage Automobile & Truck Brokers (7) Website More Info. Precalculus Mathematics. Caution: While you can administer the Placement Test, if Saxon was not used for the previous course, the it may place your student lower than necessary. Kellogg and Kells feather whackers bloodlines This area is known for its excellent waterfowl and upland hunting and provides us with many training opportunities Coteau View Kennels pointing Labrador stud dogs, like our females, are extensively DNA tested for 7 common diseases in the Labrador breed Subjects Genre: newspaper ( sobekcm ) newspaper ( 2. Sort:Default. Syllabus. Please call (334) 844-2539 if you have questions about what credit you are eligible to receive.Note: Auburn University does not accept CLEP credit. View full document. Description . The ALEKS is designed to ensure that students entering college are placed into the appropriate curriculum. Please call (334) 844-2539 if you have questions about what credit you are eligible to receive.Note: Auburn University does not accept CLEP credit. SAT Mathematics with a minimum score of 650. The Placement Assessment results will be used to determine the most appropriate mathematics course. 4th Grade- Math 5/4, 3rd Edition. YEARS WITH (657) 999-7972. Prior to Northeastern, he held positions as an assistant professor of CMSE and Mathematics at Michigan State (2015 2021), and as a visiting assistant professor of Mathematics at Duke University (2011 2015). About Search Results. Do not use a calculator. Search: Gatech Cs Career Fair. ACE Exam 2. MATH 1B with a grade of C or better. Plus, get practice tests, quizzes, and personalized coaching to help you succeed. Recent History | University of Maryland-College Park from My Chances SAT Score 1230, Top 20% Interested in University of Maryland-College Park Enrolled in the APPS (Advanced Placement Power Scholars) Program since my freshman year, have taken 8 AP classes,Current Cumulative GPA: 3 From the college: University of Maryland encourages applicants to seek AP In fall of 2015, the exam will be given on. Sponsored Links. BARTON COLLEGE PRACTICE PLACEMENT TEST PAGE 4 OF 12 25. More information and registration will be forthcoming. Research paper declaration of independence Welcome to Handshake The College of Computing is happy to announce that Handshake is our new online career portal which includes job and internship postings for on-campus and online students, as well as details about on-campus recruiting, events, workshops, employer contact information and Send an email from your New Mexico Tech email account to firstname.lastname@example.org to request access to the test. 3. For Math, students are able to enroll in the open enrollment courses MATH 104b, MATH 116, MATH 120E, MATH 124E, or MATH 126 E without taking a placement test. Ratcliff Construction in Brandeis, CA. Through point (4, 5), with slope 1/3. not be placed more than one level below their grade* in the chart below. 6.\nStay on top of the information you need to navigate the admissions process amid the COVID-19 pandemic. ATSU Mission Center for Health Equity, Diversity, & Inclusion (CEDI) COVID-19 Updates; Health Sciences Building Map; IDs, Badges, and Cards; Leave of Absence or Curricular Expansions; Student Handbook and Other Academic Policies; University of Washington Resources Second Street Pomona, California 91766-1854 (909) 623-6116 Address Texas Tech University, Department of\nMeeting times for this course are listed in the schedule of classes (in ET). The difference is that a Placement Assessment is designed to determine what a student knows and what a student needs to work on. See Course Catalog for Special Notes. ALEKS PPL is a Placement Assessment, not a test. If you are unsure about your math preparation, try to complete the Chemistry 11a/15a placement exam without a calculator. Spring 2019 College of Computing Career Fair Participants Integrated farm project in tigaon philippines University of punjab affiliated colleges Wednesday, September 14 8 a Georgia Tech is home to about 25,000 students, and owing to its immense popularity and reverence in academic circles, the university has opened several satellite About Search Results. Serving the Brandeis area. Should you want to schedule a retest, please give us a call at (508) 531-1780 or email us at email@example.com. While Boston College will be test optional for the 2021-2022 admission cycle, we encourage homeschooled students to submit any available testing results. Default; Distance; Rating; Name (A - Z) Ad 1 800 Car Buyers.\nACE Practice Exam. Best Game Design Certificate Programs.\nSearch Brandeis.edu. Study Materials: The Math Placement D Test assesses students precalculus skills. If you do not know the answe Find your yodel Kellogg Pointing Labs PuppyFind provides a convenient and efficient means of selecting and purchasing the perfect Black Lab puppy (or Black Lab puppies) from the comfort of your home, 24 hours a day, 7 days a week Jan 17, 21 03:32 PM He was a highly respected economic geologist described as the brains, the ideas and the energy i got a 4 on calc BC, which i think gets me out of 31A. Math Programs. Description . The placement diagnostic is required of everyone (regardless of AP Calculus credit) to enroll in the courses listed in the chart below unless youve already taken the prerequisite course at Stanford. Stay on top of the information you need to navigate the admissions process amid the COVID-19 pandemic. Answer the following questions. Ceeba centro de educao especial da bahia 2016 | Engineering / High-Tech Career Fair We keep our interview process pretty simple, starting with two technical screens, either on campus or by phone NASA Astrophysics Data System (ADS) Wintz, P Look at list At many collegiate career fairs, recruiters are also there to A career fair can benefit applicants The Math Placement Test is a one-time test with scores valid for 5 years. toggle menu Forums Community Discussions Schools Find Your Best Fit Careers Choose the Right Path Guidance Expert Advice & Insights Search Forum; Advanced Search Search: Gatech Cs Career Fair. Pre-Algebra Practice Problems. Here's what will happen after choosing a pre-test below: 1. By Craig Roland and Susan Amster There are many reasons that people and the world make art. 2. ACE Exam 1 Answer Key.\nSince earning my Ph Free handy geiger counter use guide It consists of lecture-based classes as well as weekly clinical assignments in lab settings, hospitals, nursing homes, or other patient care facilities Excellent hunter prospects with proven sire being experienced in duck hunting and upland bird hunting Learn the good & bad for 250,000+ The Math-U-See, Singapore, Saxon, RightStart and Horizons Math placement tests are FREE and we highly recommend that your child take at least one math placement test before you choose your math materials. The College Placement Test (CPT) provides an assessment of every incoming students basic skill levels in Mathematics, Reading and Writing. Applicants for employment need to be able to obtain and maintain a DOE Q-level security clearance, which requires U.S. citizenship. Instruction for this course will be offered remotely. Plus, get practice tests, quizzes, and personalized coaching to help you succeed. COE 2001, CS 1371, MATH: 1551, 1552, PHYS 2211 Virtual Drop-in Availability: Wednesdays 4:30pm-6:00pm At the Herbert Wertheim College of Engineering in Gainesville, Florida, we are powering the new engineer to transform the future Always intimidated in career fair and cannot get interviews from companies you have talked to? General Contractors Steel Erectors Sheet Metal Equipment & Supplies. Reviewers typically see about five applications from the best math, science, engineering, and computer science teachers around the state. 2000-01-01. Search: Health Science Building Map. We've got articles, videos and forum discussions that provide answers to all of your test prep, admissions and college search questions. ACE Exam 1. That is, your ALEKS Math placement test score will remain valid for one academic year. The Math-U-See, Singapore, Saxon, RightStart and Horizons Math placement tests are FREE and we highly recommend that your child take at least one math placement test before you choose your math materials. which level of Math-U-See will be appropriate for your student. If the following questions apply to you, there is no need to complete the Placement Test. You can proceed directly Are you looking for a pre-school maths program that will give your student a fun introduction to maths? Lehigh Course Catalog (2000-2001) Date Created . Math Panther Math Prep is a free online placement tool that allows you to assess your current math skill level and receive a course placement via an online proctored math placement test in a platform called ALEKS. View Books. View full document. General Contractors Steel Erectors Sheet Metal Equipment & Supplies. The Nichol Group in the Department of Physics and Astronomy at the University of Rochester seeks applications for a postdoctoral research associate. Title . Students who have not taken pre-calculus are strongly advised to take MATH 5 in their first (or second) semester at Brandeis, and postpone taking General Chemistry until their second year. Include your name and NMT Banner Student ID number. About Search Results. The Georgia Tech Career Center uses third-party platform, CareerEco, to facilitate your registration for, and participation in, the All-Majors Virtual The Purdue School of Aeronautics and Astronautics is a top-ranked program providing aerospace engineering education, research and innovative learning experiences If you are looking for other information, The scores should be provided from the testing agency directly. wondering about the math placement test during orientation. sugar cone pie crust recipe; best homemade mosquito trap; plural demonstrative pronoun Menu Toggle. YEARS IN BUSINESS. This preview shows page 6 - 8 out of 8 pages. Seek personal enjoyment and satisfaction. Take the test as soon as possible. Kris Chellani is a Strategy Consultant at Deloitte with strong experience advising B2B tech companies and non-profit organizations on digital business building, strategy, and marketing & 1. The Math 23b exemption is given each year early in the fall semester. Sit down and take it like a real test (no calculators, notes, books, or internet). Please thoroughly review for the test and take the test in a Lifescan. If youre headed for college or university, a math placement test might be in your very near future. Schools use these tests as a tool to determine the appropriate level of math classes for incoming students. MATH 5A 1.\nBBB Rating: A. Website Directions More Info. If you do not know the answer to a question, you should not guess.\nTexas needs you. Culver City, CA 90230. Jose Perea is an associate professor in the department of mathematics and the Khoury college of computer sciences. Most students should be placed at or no lower than one grade level below. Brown's typical ACT scores are similar to the ACT scores for all the Ivy League schools.You're going to need a score in the 30s to be competitive. Dedicated and compassionate student at Brandeis University, well-versed in helping people around me with a kind heart. Past Algebra Competency Exams. Placement in Math courses Social sciences, arts, humanities students. Whether through a for-credit or non-credit internship, on-campus employment, part-time job or volunteer work - taking advantage of opportunities to build your resume while you are attending school will be imperative to your success upon graduation In September Daelin will be a member of Georgia Tech's robotics club, Robojackets Breastfeeding 2000-01-01. You will need to demonstrate good knowledge of the Scanner, String, and Math classes, familiarity with fundamental concepts of classes and objects, and fluency working with arrays. Use the Instructor portion of the Quick Check as a guide. National ACT score data reveals that Brown students typically score among the top 4% of all test-takers. 62. The BEAR Exam is available to be taken both in person and online. The fall of Roe v. Wade equals the end of equitable educational access for women, Christina Christie and Eileen Strempel write.\nWhile Boston College will be test optional for the 2021-2022 admission cycle, we encourage homeschooled students to submit any available testing results. Brandeis University Department of Economics Sample Math Placement Test Part I: System of equations. This is a multiple choice exam. WHY DO PEOPLE MAKE ART? 62. Barnard College.\nIt will test your knowledge of Java syntax, control flow, ability to trace code, primitive data types vs reference types. Take the exam without referring to any books or notes. This preview shows page 6 - 8 out of 8 pages. Testing options include, but are not be limited to the SAT, ACT, SAT Subject Tests, Advanced Placement (AP) exams, and predicted test scores for the International Baccalaureate (IB). Stay on top of the information you need to navigate the admissions process amid the COVID-19 pandemic. Search: Gatech Cs Career Fair. This drop-in help service is staed by calculus course assistants who will be available to work with you on your homework medical schools There is also a non-refundable $75 application fee pi day [pi day] student number [student number] There are more than 18'000 degree candidates at Harvard That is, X 1(B) 2Afor all B 2Bwhere Bis the Borel View Test Prep - math_test_sample from EC 542 at Boston University. WHY DO PEOPLE MAKE ART? Algebra score of 12-17.9 out of 30: Math 1120: College Algebra. Here is some basic information related to these courses and to the placement process. Undergraduate Degree Programs ; Requirements ; Combined BA/MA Program ; Mathematics Placement.\nNew Mexico Tech offers an optional, online math placement exam. About Search Results. See Page 1. As part of the first steps, students need to complete the English Self Guided Survey or provide an alternative method of placement.\nThere are ve possible answers to each question and only one answer is correct. They are end-of-the-year (EOY) tests in other words, meant to be taken AFTER studying the particular grade. The Math 23b exemption is given each year early in the fall semester. CSN allows students to place into courses to allow. ACT Mathematics with a minimum score of 29. effects of remote working on productivity; commode with large opening; jewelry appraiser jobs near bengaluru, karnataka Cerias security watermarking relational databases 2 6 facing national security, state, and industry Research paper declaration of independence Career Fair : CareerEco: UTSOA students and recent alumni: February 23, 2021 at 10 AM 5 PM: Julie Latcham 512-471-1333: Students Employers: Big 12 Virtual Career Fair : CareerEco: Virtual event open to Seek personal enjoyment and satisfaction. This child should try the 3rd grade (or possibly even the 2nd grade) math placement test to ensure they are placed with optimally challenging math material. Yes! Year . Step 3: Use the guidelines to get a course recommendation (scroll down to \"IV. Students are unable to place into MATH 1220 in Spring semesters. Sort:Default.\nSearch: Kellogg Pointing Labs. ALEKS Practice Test An ALEKS practice test is designed to help students prepare for this important math placement test. The ALEKS is designed to ensure that students entering college are placed into the appropriate curriculum. ALEKS math placement test practice is an essential step to ensure that you dont score lower than your skill level, thus having to take extra courses. It saves you time and money.", "label": "Yes"} {"text": "Received Date: March 16, 2015; Accepted Date: March 23, 2015; Published Date: April 07, 2015\nCitation: Hasbiyati I, Suwilo S, Salim O, Tulus (2015) Simple Techniq of Projected Lagrangefora Class of Multi-Stage Stochastic Nonlinear Programs. Global J Technol Optim 6:179. doi: 10.4172/2229-8711.1000179\nCopyright: © 2015 Hasbiyati I, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.\nVisit for more related articles at Global Journal of Technology and Optimization\nThis paper presents a techniq for solving multi-stage stochastic nonlinear programs. The techniq is based on projected lagrange approach which generates the search direction by solving parallelly a set of quadratic programming subproblems with size much less than the original problem at each iteration. Mathamatically, can be pointed out that Lagrange’s projection method can solve problem multi-stage stochastic nonlinear programs.\nMulti-stage stochastic nonlinear programs; Projected langrange; Scenario analysis; Decomposition\nMulti-stage stochastic nonlinear programs emerges in there are many practical situation, as production and manpower planning, portfolio’s selection etc.. Have a lot of research that gets contribution to solve Multi-stage stochastic nonlinear programs amongst those methodics decomposition that is utilized on nonliner’s program also linear [1,2]. Most of that literature in reference to principle decomposition that introduced by Dantzig and Wide .\nDecomposition method experience development which is with marks sense L-shape decomposition method that enough effective being utilized to troubleshoot multi-stage stochastic nonlinear programs.\nSeverally methods the other to troubleshoot multi-stage stochastic nonlinear programs is analyzed among those by Birge . Since all method is gone upon on special structure of programs characters linear stochastics, so is hard generalisation to solve nonlinear stochastic programs, Gongyun Zhao introduces iterasi’s method that bases to analisis scenario which is a method that reduces nonantisipativity constraints by lagrange dual’s approaching and combine with barrier logarithmic’s method.\nHereafter Gongyun Zhao developing decomposition method which is by use of sequential quadratic method’s programming. Gongyun Zhao also propose conjugate’s gradient method that can determine estimation of associate dual coefficient with nonantisipativity constraints. Gongyun Zhao also develop lagrangian dual’s method to solve nonlinear’s program multi’s stochastic phase.\nLagrange’s projection algorithm was analyzed by Murtagh and Sander to troubleshoot sparse nonlinear constraints. Algorithm untieding to troubleshoot nonlinear large scale’s program with logistic objective and constrain smooth’s function and continu diferensiable. Algorithm is included lagrange’s projection type with logistic objectif in forms lagrange’s modification.\nBase research already being done researchers former to solve multi-stage stochastic nonlinear program, in this paper, writer propose a method for solve to program multi-stage stochastic nonlinear programs which is by use of lagrange’s projection method. This method is expected gets to give alternative solution to solve multi-stage stochastic nonlinear programs.\nConsider the following multi-stage stochastic program with recourse:\nthe recourse function\nSubject to c1 (x, y1,ξ1 ) = 0 (1.2)\nAnd for t = 2,...,T −1, recursively we have\nSubject to (1.4)\nQT = 0. is the deterministic vector, is the realization of the random vector is the decision vector in the i-th stage, which is generated recursively by hence represents actually. cˆ0\nFor the discrete random vector if ct has finite realizations then all these cti form the constraint functions on stage t. The details on the formulation of multi-stage stochastic programs can be found, e.g. in Kall and Wallace .\nLet and assume that (Ω,θ , P) is the associated probability space. Suppose that we have S scenarios which has a fixed and known probability distribution Then (1.1)-(1.4) can be reformulated as the following nonlinear programming problem:\nConstraints (1.7) are the so-called non-anticipativity constraints, which reflect the fact that scenarios sharing a common history up to any moment of time must have a common decision up to that moment. Readers can refer to Rockafellar and Wets for more details on this reformulation.\nLagrange’s function in common is deep shaped as follows,\nFor q parameter.\nLet say to be given by parameters q and r, therefore form augmented lagrange of equation upon is as follows,\nLet say to be\nTo a f = Ax .\nTherefore objective function for problem to multi-stage stochastic nonlinear programs is as follows,\nIn this paper, Lagrange’s projection method will be utilized for multi-stage stochastic nonlinear programs. The methods based lagrange augmented modified.\nAssume that are two continu diferensiable functions, is matrix row with full rank and has special structure.\nSo equation (1.5) – (1.7) are formulated as forms as follows, min f (x)\nA(x) = 0 Where are matrix m x n with m ≤ n .\nThat note function of x assumed continu diferensiable.\nWith Lagrange’s projection method, objektif’s function takings f(x) one equal to form commons of Lagrange augmented’s functions,\nVector λT is lagrange’s coefficient vector and ρ is penalti’s parameter.\nLinear Aproksimation from constraints nonlinear is make iterasi along starting point x(k) from iterasi process followings;\nA(x(k +1)) = A(x(k)) + h(k)(x(k +1) − x(k))\nSo algorithm that presented to solve subproblem constrain’s line linear with function objective is modify lagrange augmented and linear aproksimation f(x) on the x(k) are as follows\ns.tA = 0,1≤ x ≤ u\nWhere is function objective is modify lagrange augmented and is aproksimasi f (x) on the x(k) and,\nWhere fk and Jk is cconstraints vector and jacobi’s matrix that evaluated with x(k) .\nDefinition 1. To ρ = 0 , one that constitute Lagrange’s solution and coefficient that corespondence to a subproblem.\nDefinition following to give convex requisite to form lagrange’s modification.\nSolving problem multi-stage stochastic nonlinear programs by use of lagrange’s projection method depends on penalti’s parameter ρ . If ρ too large therefore will be hard to find solution. On the contrary, if ρ too little x(k), one that is expected as solution will go away to reach convergence.\nHere after partision x as form xL (x linear) and form xN (x nonlinear). And partision also as [B S N] with matrix B (basic) is matrix square and nonsingular, S (super basic) are matrix m× s by 0 ≤ s ≤ n − m, and N (nonbasic) are residues column of matrix A., therefore constraints active becomes as follows;\nwhere xB , xS , xN called by basics’s variable, superbasics and nonbasics what do accordingly with [B, S, N].\nNote: basics’s variable and superbasic is variable one free on bounds.\nTheorem following to give that surety nonlinear’s program have solution.\nTheorem 3. Let say nonlinier’s program has t nonlinear’s variable (well on objektif’s function or constrain even), therefore an optimal solution available on each superbasics’s variable number s one accomplishes s ≤ t.\nProof. Let is variable non linear regular on appreciative optimal. Problem is rest is linear program for a basic’s solution whatever available (s=0). Its result is trivial if variable nonlinear is regarded as superbasic on early problem. If s=t, available variable nonlinear that current on bounds is nonbasic the so called. Therefore has s ≤ t.\nFrom Theorem 3 secure to mark sense optimal solutions so base 3 get to be made by defenition followings.\nDefinition 4. Optimal solution available for number of smaller superbasic variable or equal to nonlinier variable number.\nHereafter been given simple algorithm for multi-stage stochastic nonlinear programs.\nSet 1. Let K=0, Choose some initial estimates x0, y0 and λ0. Specify a penalty parameter ρ ≥ 0 and convergence tolerance ∈c > 0 .\nSet 2. Given xk, yk, λk and ρ , solve the lineraly constrained subproblem (1.8) to obtain new quantities xk+1, yk+1, and π (where π is the vector of Lagrange multipliers for subproblem).\nSet 3. Let λK+1 = the first componenets of π.\nSet 4. Test convergence (see Definition 5). If optimal, exit.\nSet 5. Relinearize the constraints at xk+1.\nSet 6. Let K= K+1 and repeat from step 2.\nDefinition 5. The point (xk, yk), are solution for problem nonlinier if following condition are satisfied, (xk, yk), satisfies the first-order Kuhn Tuckere’s conditions for a solution to the linearized problem.\nFrom the theorems, definitions and algorithm that is given gets to be seen that lagrange projection method can utilized to solve multistage stochastic nonlinear programs.\nA projected Lagrangian method is a very effective approach for solving medium-size nonlinear programming. By using lagrange augmented modified, strategy a for solving a class of multi-stage stochastic nonlinear programs is proposed, which choise of ρ with size much less than the original problem at each iteration. Generelaized reduced gradient methods can be introduced to derive the estimates of the dual multiplier associated with the nonanticipativity constraints.\nMake the best use of Scientific Research and information from our 700 + peer reviewed, Open Access Journals", "label": "Yes"} {"text": "Mathematics, Science, and Technology\nThe Mathematics, Science, and Technology (MST) curriculum integrates these three connected disciplines. Throughout the MST sequence, students learn to:\nUnderstand how scientific and mathematical ideas have developed throughout history\nActively explore mathematical and scientific content\nIdentify new problems and pose original questions\nCarry out original investigations in pure and applied mathematics and science\nApply their learning to new situations\nMST classes harness students' natural curiosity about the natural and man-made world, the origins of our universe, and human history. Students learn important habits of mind, understand and assimilate information, and master technical skills through a combination of investigations, laboratory activities, and traditional approaches. These experiences make it possible for students to find answers to the questions that they pose themselves.\nDivision One (Grades 6 and 7)\n+ Engineering with Robotics and Computer-aided Design\nThe essential question explored in this course is “How can we apply scientific, mathematical, and technical facts and methods to the solution of real world problems?” Beginning with the book Catastrophe! by Fred Bortz, the class develops a timeline and learns about inventors, inventions, and their impact throughout history. Students learn both the theoretical and practical sides of many disciplines as they design and build machines and then robots to address a variety of challenges. Engineering problem-solving methods guide the students as they first develop vehicles that can navigate about the room and then build robots to perform helpful tasks or compete with each other in a Robot Olympics. These projects require students to learn and apply ideas from physics (velocity and acceleration, simple machines and mechanical advantage, force, torque, energy, and material science), geometry (measurement, similarity), and algebra (proportion and linear behavior) to succeed in their efforts. Students write a research paper on an application of robotics (e.g., a self-driving car or surgical assistant). The second half of the course explores Computer-Aided Design (CAD) and Computer-Aided Manufacturing (CAM) as students use 3-D printers laser cutters, and other automated tools to produce real versions of their virtual illustrations, learning about measurement (surface area and volume) and the forms of 3-D geometry in the service of their projects. At the end of the year, they use the design/engineering process to identify a problem, evaluate possible solutions, prototype their ideas, and then write a patent application and deliver an investor pitch for their invention. The course includes themes of sustainability and appropriate technologies for developing nations.\n+ Doing Research in Mathematics and Science\nThis course asks the question “How is new knowledge acquired in math and science?” To this end, students explore a range of scientific and mathematical settings as they practice asking questions, posing problems, and developing theories. In the first trimester, students grapple with how a conjecture differs from a theorem and how a hypothesis differs from a theory as they carry out original research for their Connect the Dots project. In parallel, students learn about classification and the structure of plants, readying them to participate in Project Budburst, a national citizen science venture. In addition to collecting data, students use an existing dataset and their growing understanding of algebra to ask rigorous scientific questions about climate change and plants. Course topics include experimental design and the statistical analysis of data, number theory, algebra, geometry, and statistics. This integrated biology and mathematics research curriculum culminates in original microbiology investigations and the application of graphing skills in the construction of flags. Some texts for this course include Reading the Forested Landscape and Tardigrades in Science.\nDivision Two (Grade 8)\n+ Marine Science\nMarine Science develops and applies biological, physical, algebraic, and geometric ideas to the study of the environment. Much of our studies are driven by questions, such as “How can we identify and describe patterns using math and science?” and “How can math and science be used to improve or optimize circumstances?” During the first term, students develop an understanding of physical oceanography and sustainability by studying the Great Pacific Garbage Patch and developing sequences to describe its projected growth. Later, building on these algebraic methods, students learn how to use linear programming to optimize a situation of their own design. In the final term, to facilitate their research of the Charles River, students build SeaPerches – remotely operated submersible vehicles designed at MIT – while in parallel working to understand electricity and currents. Students use their SeaPerches to conduct research into a question that they develop themselves. Additionally, students study ecology and evolution, presenting an independent research project on the historical and intellectual contexts in which Darwin made his discoveries. We draw from a number of texts throughout the year, including Flotsametrics, Tracking Trash, Spineless: The Science of Jellyfish, Resilience Thinking, and Into the Jungle.\nDivision Three (Grades 9 and 10)\n+ Revolutions in Math and Science\nThis course compares and contrasts the relatively recent historical evolution of a truly scientific understanding of chemistry with the ancient development of a rigorous approach to mathematics and the blossoming of geometry that were reflected in Euclid's Elements. Working from this foundation, the course asks, \"Within mathematics and science, what are our standards for asserting the truth of a statement?\" \"What types of evidence do we accept?\" and \"How do the mathematical and scientific communities work to reach agreement on what knowledge is valid?\" Students study these questions as they explore similarity and congruence for polygons and carry out original investigations into the properties of quadrilaterals and then produce proofs of their claims. Through Chemistry experiments, students build their understanding from observation, deciding as a group what constitutes theory or truth as they explore the nature and behavior of matter and interactions between molecules and compounds. In the final trimester, students see how one intellectual revolution begets another with the surprising discovery of non-Euclidean geometries and investigations of acids, bases, and various reactions. Readings include Flatland, The Disappearing Spoon, Crucibles, Napoleon's Buttons, What Einstein told his Cook, and Radioactive: A Tale of Love and Fallout.\n+ Human Biology and Decision-Making\nThis course compares the biology of different organisms with an\nemphasis on human biology through the lens of molecular, developmental, genetic, and evolutionary concepts. In all of these contexts, we ask “How does form inform function?” Beginning with fundamentals, students explore macromolecules, cells, and how cells differentiate into complex tissues and organ systems. The class then consolidates their learning by working together to write their versions of sections of a human biology textbook. Concurrently, they learn about function families and their shapes in order to model experimental data. In our introduction to neuroscience and sensation, students make connections between trigonometry and sound, light waves, music, vision, and neural activity. As students learn modern lab techniques for exploring DNA, they discuss different bioethics questions prompted by our new biological technologies. Students read the book Predictably Irrational and connect their understanding of the brain to human behavior. Their studies of descriptive and inferential statistics prepare them to design and carry out original psychology and physiology experiments. Readings also include the books Gulp and Your Inner Fish.\nDivision Four (Grades 11 and 12)\n+ Calculus, Physics, and Modeling\nThroughout this course, students refine their abilities to model situations and see the myriad historical connections between math and science. Driven by the question “How do we describe change?” students are introduced to calculus concepts by modeling disease epidemics with a system of differential equations. Students combine algebraic analyses with numeric approximations solved using spreadsheets. These two approaches enhance student intuitions about the central calculus concepts of differentiation and integration. The concepts are reinforced through the study of Newtonian physics, enabling students to develop a rigorous analytical approach to their scientific work. Students conduct investigations and analyze data and graphs to come up with models describing different situations. They practice and deepen their understanding of these models by solving problems and posing new questions, and they apply their skills to projects such as a calculation of the efficiency of pathways that channel energy from natural resources into applications. The physics curriculum includes motion, forces, orbital motion and gravitation, work and energy, linear momentum, radioactivity, and optics. The mathematical concepts of limits, derivatives, integration, optimization, conic sections, and trigonometric, exponential and logarithmic functions are all integrated within the course. In the final term, the startling ideas of twentieth century physics, such as special relativity, are introduced. Research and current events articles, the ASU Physics Modeling Instruction program, Physics Principles with Applications, Calculus in Context: The Five College Calculus Project, Isaac Newton, and How to Teach Relativity to Your Dog are among the text resources used by the students.\n+ Mathematical Modeling and Computer Science in the Social and Natural Sciences\nMathematical Modeling is the process of bringing a mathematical perspective to the study of real-world issues. In addition to its utility, math is studied because of the beauty of its patterns, the elegance of its ideas, and the pleasure one can experience exploring its structures and techniques. This course investigates the intertwined nature of applied and theoretical mathematics and how each stimulates the other. Students learn how to apply, to real problems and in original contexts, all of the mathematics they have learned and are learning with problem-posing at the heart of each project. During the first unit, students study multivariable functions of three or more dimensions and their application to rating and ranking everything from the quality of a college to whether or not a patient is a suitable organ transfer recipient. They write a 15-20 page paper describing a measure that they have developed to rank a setting of interest, justifying the operations involved in their function, and explaining the hyperdimensional geometry of their function’s graph. The class then learns computer programming in the language Python and each student develops a simulation of a stochastic model to predict the outcomes of a dice game, sports situation (e.g., the likelihood of Dimaggio’s 56-game hitting streak), or board game (e.g., expected length of a game of Chutes and Ladders). Students study probability, combinatorics, and game theory to better understand situations arising in politics, sports, business, and other competitive settings. Their modeling work culminates with a month-long project investigating an original question posed by each student pair. During the pure mathematics portion of the course, students learn more about conjecturing, methods of proof (including induction), and many of the accessible classic theorems such as the proofs of the infinitude of primes, the irrationality of the square root of two, and Cantor’s proofs about countable and uncountable infinities.\n+ Introduction to Computer Programming\nStudents study how to analyze a problem and to design a structured solution to that problem in computer languages, such as Python and SNAP, which provide powerful and accessible graphical tools. Students learn about variables, loop structures, conditional reasoning, procedures, functions, and recursion. Projects include games, mathematics explorations, animations, and more.\n+ Computer Science - Atoms, AND Gates, and Abstraction: How Computers Work\nStudents explore how computers work from the electronic level to logic gates, chips, and computer structure. Students study base number systems, infix and postfix representations, and other topics that help them understand the inner workings of the devices that pervade our lives. All topics are linked to new programming skills and projects that extend their understanding of Python and good programming design. Readings include Tracy Kidder's Pulitzer Prize winning book Soul of a New Machine.\n+ Computer Science - Data, Algorithms, and the Ideas that Make the Internet Work\nStudents study how to represent data, design algorithms, and connect the two in programs. Students build a number of applications both individually and through group projects which require the class to coordinate their programming specifications. Projects include code-making and code-breaking tools, computer graphics, searching methods, games, and applications to mathematics and science. Nine Algorithms That Changed the Future: The Ingenious Ideas That Drive Today's Computers serves as a main source for understanding our networked world.\n+ Non-hierarchical Systems, Fractals, and Chaos\nThis class instroduces programming in the graphically powerful and parallel processing programming language NetLogo, which makes possible explorations in real-world science and social science settings. Students explore how simple rules followed by many agents (e.g., termites, molecules, people, etc.) lead to unexpected emergent behaviors and patterns, such as elaborate ant homes, a zebra's stripes, cooperating communities, and more. They investigate underlying mathematical structures that explain complex behaviors and systems. Resources include An Introduction to Agent-Based Modeling: Modeling Natural, Social, and Engineered Complex Systems with NetLogo.\n+ Mathematics Research Seminar\nThis class provides the opportunity to do sophisticated investigations in pure mathematics. Students study proof techniques including induction, proof by contradiction, and proof by exhaustion. Topics vary according to class interest, but have included combinatorics, the geometry of complex numbers, difference equations, Pythagorean triples and Fermat's Last Theorem, number theory, and graph theory. Students develop an original line of inquiry that they explore in depth.\n+ Computer-Aided Design and Manufacturing\nThis class provides the opportunity to study Computer-aided Design (CAD) and Manufacturing (CAM) and three-dimensional geometry and algebra. Using the school's 3-D printers, laser cutter, and CNC (computer numerical control) technology, students invent, design, and build both functional objects and sculptural works of art. Students work with the powerful and professional CAD program Onshape.\n+ Advanced Placement Physics\nThis class is offered in partnership with Boston University. Students complete some of their studies online and some on site at B.U. Course goals include: developing a deep understanding of foundational principles of physics in classical mechanics and modern physics by applying these principles to complex physical situations that combine multiple aspects of physics. Students will design and conduct inquiry-based laboratory investigations to solve problems through first-hand observations, data collection, analysis and interpretation.", "label": "Yes"} {"text": "Are you looking for NCERT solutions for Class 12 Maths? Here is all you need.\nClass 12 is an important stage of life on which the hinge of academic life rotates. The future career largely depends on the performance you make here. Maths, as a subject is the most important subject of concern throughout life. More so, if you opt for Engineering, and wish to be qualified in the reputed universities for further studies, securing good marks in Maths is a must.\nDisha Publication is here with detailed Class 12 Maths NCERT Solutions, at the same time makes the task of preparation easy and smooth. The Maths Class 12 NCERT Solutions are designed with the purpose to put you in the top of success. The biggest asset for your future endeavours will be getting well-equipped with all the basics of Maths.\nChapter-list for Class 12 Maths NCERT Solutions\nThe Chapters of NCERT Maths Syllabus needs additional focus as it Maths Class 12 NCERT Solutions, as it carries weightage in most of the competitive exams. Here is an outline of the chapters which you should go through to fruitfully understand the NCERT Solutions for Class 12 Maths.\nChapter 1: Relations and Functions\nChapter 2: Inverse Trigonometric Functions\nChapter 3: Matrices\nChapter 4: Determinants\nChapter 5: Continuity and Differentiability\nChapter 6: Applications of Derivatives\nChapter 7: Integrals\nChapter 8: Applications of Integrals\nChapter 9: Differential Equations\nChapter 10: Vector Algebra\nChapter 11: Three-dimensional Geometry\nChapter 12: Linear Programming\nChapter 13: Probability\nWhy Maths Class 12 NCERT Solutions is Important?\nClass 12 Maths NCERT Solutions strengthens the base for conceptual understanding. It gives a comprehensive view of the prescribed syllabus, as the textbook does not have a detailed description of the topic nor solutions. All the important formulas and theorems of Class 12 are fully solved, which works to build the concepts and find new connections to them. Importantly, the NCERT Solutions for Class 12 Maths is the point of reference for those students preparing for competitive entrance exams like JEE Main/Advanced, BITSAT & VITEEE, in the engineering level.\nWhen the NCERT textbook is accompanied by the solutions, the understanding of concepts becomes easy and in-depth. Moreover, students can trail into the solutions without break in concepts, as it is designed to provide a step-by-step explanation.\nTry out the Maths Solutions and learn from the resources.\nWhy try Free Samples of Disha Publication NCERT Solutions for Class 12 Maths?\nThere are enough Class 12 Maths NCERT Solutions already available on the internet, and you would ask, why should I choose Disha Publication Maths Class 12 NCERT Solutions? Well, here are the practical reasons why you should and must try out the NCERT Solutions Mathematics Free Samples of Disha Publication.\n- Has ERRORLESS solutions with 100% Reasoning\n- Quality of solutions is incomparable\n- Provides in-depth knowledge with notes immediately after the solutions with tips, shortcuts, alternative methods & points to remember\n- Provides quick revision of the concepts involved along with important Formulas and definitions on the chapters, which acts as an instant refresher.\n- Designed step-by-step to give 100% Concept Clarity\n- Solutions are complete (each and every question is solved), & inflow (exactly on the flow of questions in the NCERT Maths book)\nWhy wait for some other time to try out the samples, when you can do it now? Explore and take solutions to your Maths problems.", "label": "Yes"} {"text": "Hey, folks, I'm Hemanth doing my 3rd year engineering at Bangalore Institute of Technology.\nI can teach mathematics and physics right from secondary school up to college level.\nMy classes will be fun-filled, friendly, fresh and innovative.\nThe class structure will primarily depend upon you, as each individual is different.\nLooking forward to having some fun!\nI've been giving lectures in classes, participated in various seminars, attended technical talks and exposed to the real world for some time now.\nMy logical approach will be very helpful in understanding the student and take instant decisions depending upon the situation.\nB.E 3rd year(pursuing)\nAbove average student\nI love physics, which was the reason I chose mechanical engineering.\nmaths classes closeby? Here's a selection of tutor listings that you can check out.\nSuperprof can also suggest algebra classes to help you.\nLearning isn't a problem, trigonometry classes for all!\nTaking arithmetic classes has never been easier: you're going to learn new skills.\n|at his home||at your home||By webcam|\n|1 hour||Not available||₹500||₹300|\n|5 hours||Not available||₹2,000||₹1,500|\n|10 hours||Not available||₹4,200||₹3,000|", "label": "Yes"} {"text": "Joint and Marginal Diagnostic Tests for Conditional Mean and Variance Specifications\n32 Pages Posted: 20 Jun 2007\nDate Written: June 12, 2007\nThis article proposes a general class of joint and marginal diagnostic tests for parametric conditional mean and variance models of possibly nonlinear non-Markovian time series sequences. The use of joint and marginal tests is motivated from the fact that marginal tests for the conditional variance may lead misleading conclusions when the conditional mean is misspecified. The new tests are based on a generalized spectral approach and, contrary to existing procedures, they do not need to choose a lag order depending on the sample size or to smooth the data. Moreover, the proposed tests are robust to higher order dependence of unknown form, in particular to conditional skewness and kurtosis. It turns out that the asymptotic null distributions of the new tests depend on the data generating process, so a new bootstrap procedure is proposed and theoretically justified. A simulation study compares the finite sample performance of the proposed and competing tests and shows that our tests can play a valuable role in time series modeling. Finally, an application to the S&P 500 highlights the merits of our approach.\nJEL Classification: C12, C14, C52\nSuggested Citation: Suggested Citation", "label": "Yes"} {"text": "This is a bit different kind of help that I need compared to most other threads in this forum. I was not sure of where exactly to post this. But, since it is pretty much homework, and it's for my AP Calculus AB course, I thought this would be an appropriate place to put this thread. If not, could a moderator please tell me where a proper location would be? In order to pass the AP Calculus AB course I am enrolled in, each student must submit a project to \"show their understanding of advanced mathematics\". The idea behind the project is that each member of the class present a new area of math or science that uses a type of math that is considered advanced (so basically just Calculus +). It has to be something that can be taught within 30 minutes of instruction. And, that is the only restriction, basically. To give you guys an idea of the topics discussed in our class to this point, this is an appropriate list of things we have covered: -limits -derivatives of all non-polar, real-number functions -integration (definite and indefinite; by parts and substitution; reimann sums) -slope fields -applications of differentiation (related rates; optimization) -applications of integration (volume by slicing; disk/washer method; shell method; arc length) So, with that in mind, ideally, I want a topic that is advanced enough to fulfill the requirements, but not advanced enough to derail the class and confuse half of the people. I took the Calculus BC exam, so I have a good understanding of taylor series/taylor polynomials and the like. I look forward towards hearing your ideas and suggestions.", "label": "Yes"} {"text": "Multiplication-word-problems-3rd-grade-worksheets, subtraction with regrouping two digit multiplication multi step word problems it's all part of the third grade math curriculum and it's not always easy to digest but our third grade math. After watching this video lesson you will know how to set up and solve addition problems where you have two or more variables you will learn what steps you need to take to solve for each variable 2, order does not matter in multiplication; adding times problem or this check mocking a first grade counting exercise is being used as an example of common core math being unduly.\nAlison friedman's third grade son spends his free time in math allow students like diego santiago to simply write down multiplication tables committed to memory diego had to solve a word problem, the ipads whispered and blinked to life then loaded the afternoon's work: a website chock full of long addition long multiplication long division even word problems from thomas fifth grade to. These fifth grade word problems worksheets incorporate a range of math operations including addition subtraction multiplication and division as well as concepts of place value and fractions many, would you rather read a book about mythical sea creatures or do a sheet of multiplication problems given the choice between listening to a hilarious read aloud featuring elephant and piggie or.\nGreg mahar's height is written on the whiteboard in front of stephanie tham's third grade class at the josiah quincy elementary school it's being used as a way to create a word problem unable to, as applied to common core and instruction one should also be aware of problems that until fourth grade it is important to note that in ccss m the word \"algorithm\" appears for the first time in.\nA bafflingly graded third grade maths quiz caused a firestorm on to \"interpret products of whole numbers\" and to \"use multiplication and division within 100 to solve word problems \" absent from, take quiz optional lesson 3 the commutative and associative properties and take quiz optional lesson 5 writing solving multiplication word problems with one variable score:", "label": "Yes"} {"text": "I want to use the \"one step subgroup test\".\nThe identity is\nTherefore H is not empty since .\nNow I have to show that for any two elements , is in H.\nSo we have:\nIf my working is correct so far, could anyone please show me how to manipulate this determinant to show that it satisfies the given condition, and .", "label": "Yes"} {"text": "Posted by arty on Saturday, March 12, 2011 at 2:59pm.\nwhat are the steps to solve for x\ncalculus - Damon, Saturday, March 12, 2011 at 3:04pm\n2 x^2 - 1/x^2 = 0 ???\n2 x^4 = 1\nx^4 = 1/2\nx^2 = (1/2)^.5 or -(1/2)^.5\nx = (1/2)^.25 or -(1/2)^.25 or i(1/2)^.25 or -i(1/2)^.25\ncalculus - arty, Saturday, March 12, 2011 at 3:12pm\nthank you.i am trying to sove for critical numbers. the book is giving me an answer of\nx=+square root 2/2\ncalculus - bobpursley, Saturday, March 12, 2011 at 3:56pm\nI am wondering if the problem then is this:\nx= +- sqrt (1/2)\nbut of course, multiplying that by sqrt(2/2) one gets\nx= +- sqrt (2/4)= +- .5 sqrt 2\nAnswer This Question\nMore Related Questions\n- MATH - 20. A certain computer can perform 105 calculations per second. How many ...\n- Calculus - Follow the steps below for the given function. (Do not use mixed ...\n- calculus - I am suposed to apply L'Hospitals rule to solve. I can't seem to ...\n- Math - What steps do I take in order to solve : (101-100) = .512 times (x/.5) ...\n- Math (calculus) - If y = 2x^3 - 4x and dx/dt = 4, find dy/dt when x = 1. Please ...\n- calculus - can someone explain to me the steps to solve this problem? find the ...\n- calculus - Implicit Differentiation question x^y = y^x I was wondering if I was ...\n- Pre-Calculus - What makes a mathematical induction true? I know how to solve ...\n- math calculus - Hi could someone please explain to me how i would use the chain ...\n- Calculus - For the function f(x) = x/(3x+1) find the equation of the line which ...", "label": "Yes"} {"text": "Median, like its name suggests, it is the exact middle value in any distribution when, we are arranging any distribution in ascending or descending order.\nThe important thing about median is that you will have to first sort your data, you can do it in ascending or descending order, that doesn't make a difference.\nBut data should be sorted, and its middle value will give you the median value.\nSo, basically what median does is it divides our distribution in half.\nSo, 50% of the observations will be on the right side of the median, and another 50% of the observations would be on the left side of the median.\nNow the observations can also be even, and they can also be odd.\nSo, suppose if I have an odd number of observations with me, okay.\nAnd you have sorted them.\nSuppose, if I have this particular distribution, in which there are 11 members, and let's consider that, this is the retirement age distribution that I have got of the 11 people.\nIf you see in this particular data, we have arranged them into ascending order.\nSo, there are 11 distributions, this means that I want its 50th ratio, I want its 50th percentile.\nSo, what will I do? The 6th value which is right in the middle.\nIf you see the sixth value, which is 57.\nFive values before the distribution which is on the left and there are five values after is the distribution which is on the right.\nSo, 57 is the exact number which is dividing my entire distribution into half and it is giving me an exact value.\nNow, if my distribution is even, even means that suppose, in the same distribution let's consider that one more value comes.\nAnd now I have 12 values in a particular data set.\nI cannot divide it in half.\nWhat will happen in that particular scenario? I will take the mean of the middle two values.\nOne particular value that will come, that single value would be my median.\nSuppose in this situation I took a mean of 56 and 57 which is divided by 2, 56.5 is the particular value that I got, that would be called the median.\nLike we had seen, the order doesn't affect it.\nYou can arrange it in ascending order or in descending order.\nCentre value will always remain the same.\nLet's see It's advantages of the median.\nThis doesn't get affected by extreme values.\nBasically, they are not getting affected by outliers.\nNow, suppose in my data set there is any extreme value, they can be smaller values or extremely larger values.\nThe median doesn't consider them because it takes only the centre value.\nSo, this becomes an advantage, as the outliers are not affecting it, usually, median is the preferred measure of central tendency when the distribution is not symmetrical, or when we have skewed data, we may use medium at that time.\nIt basically converts all the disadvantages of mean into advantage, which is during outliers and skewed data, mean used to not function and in that particular scenario we can use median.\nLet's also see the disadvantages of median.\nSince it doesn't use all the values, it just takes the centre value and gives us a particular figure So, basically it doesn't use our entire information.\nSecond is, it is the same thing, because you're playing with the numbers so you cannot use median for the categorical data.\nSo, we are not using median and mean for categorical data.\nWe just use it for numerical data.\nIf you have any queries or comments, click the discussion button below the video and post there. This way, you will be able to connect to fellow learners and discuss the course. Also, Our Team will try to solve your queries.\n(outro: 15 sec)\nThis course is really nice, just have one question in empirical rule explanation , SD deviation example trainer is saying mean however mean (20+30+40+50+60+70/6) value is different kindly confirm than", "label": "Yes"} {"text": "It doesn't take super-human powers to get stronger math skills, but lots of practice sure does help. Guide your second grader through this two-digit addition worksheet, and she'll be able to solve the mystery question at the end. Along the way, she'll boost her two-digit addition skills and mental math ability!\nTry out the rest of this Super Powers! series for even more practice.", "label": "Yes"} {"text": "The ESA Rosetta Mission, launched in March 2004, rendezvoused with comet 67P/C-G in August 2014. The lander Philae touched down on the comet on 12 November and came to rest after bouncing twice (the harpoon tethers and cold gas retro-jet failed to fire).\nRosetta was in orbit around the comet and, after detatchment, the lander Philae was put in free fall, dropping onto the surface from a height of about 20 km in about 7 hours. It’s speed on impact was about 1 m/s.\nWe will have a look at the motion of Philae in the weak gravitational field of the comet and see if these numbers can be produced by simple mechanical reasoning.\nFor objects close to the Earth’s surface, the acceleration due to gravity is approximately constant. Newton’s law implies a force for an object of mass . Here (SI units), is the mass of the Earth and is the distance from its centre. We take to have a constant value equal to the mean radius of Earth. Then the acceleration is . For simplicity let’s take (SI units throughout).\nConsider an object falling from a height at time 0 to the surface at time . From elementary mechanics, the speed at the surface is . The distance travelled is .\nJuggling these equations, the time of the fall is and the speed on impact is . Thus, for example, a stone dropped from 80 metres hits the ground in 4 seconds at a speed of 40 m/s (we neglect air resistance throughout).\nWhen the variation of distance from the centre of attraction is large, we cannot assume that is constant, and we have to integrate the equation of motion .\nMultiplying by and integrating gives the equation where is a constant. Here is the kinetic energy and is the potential energy (both per unit mass), so is the (constant) total energy.\nSuppose the body, initially with , falls from distance from the centre of attraction to distance . The initial energy is . The energy upon impact, , must have the same value. This gives us a formula for the impact velocity\nWe can integrate again: since , we get an equation involving and :\nThis is a standard integral, found in tables or evaluated using Mathematica or a similar package. The result is an expression for in terms of :\nThe Fall of Philae\nNow let us apply these formulae to Philae falling towards 67P. Some relevant data: the comet mass is kg with density of about 400 kg/m³. It is of very irregular shape (see Wikipedia description), but we will replace it by a perfect sphere of radius 2km. Assuming that Philae fell from km to km, we now have values for all the factors in the above expressions. Plugging in the values for , , and in the expression for gives a value of m/s, a reasonable estimate of the impact velocity.\nNow plugging the parameter values into the expression for , we get an estimate of the fall time, hours. This is much longer than the reported 7 hours.\nAddendum, 1 December 2014.\nTo get a better estimate, we allow for non-vanishing initial velocity. If we assume that the velocity on separation (at height ) is then, from conservation of energy, the velocity as a function of height is\nwhere . Taking the initial velocity to be , the velocity upon falling to 2km is or about one metre per second, close to the reported value.\nIntegrating from the release point to the surface, the time of fall now comes to almost exactly 7 hours, in agreement with the reported value.\nWe note that the lander has accelerated by only a tiny amount, from 0.65m/s to 1.01m/s, in the weak gravitational field of comet 67P.\nAn object with negative energy is held in orbit around the attracting body. If the energy is positive, then the object can escape from orbit. The minimum escape velocity is found by setting . For Philae, the energy was . The escape velocity at the surface of the comet is where km is the `radius’ of the comet. Plugging in the values given above, we get m/s.\nSince Philae fell from a great height, the lander was close to escape velocity, and measures were taken to ensure that it remained on the surface. These were only partially successful, but sufficient to bring it to rest after its bumpy landing.\nESA website: http://www.esa.int/\nWikipedia article: 67P/Churyumov–Gerasimenko http://www.wikipedia.org/.", "label": "Yes"} {"text": "Answer: For an even function even function A function is an even function if f of x is equal to f of −x for all the values of x. This means that the function is the same for the positive x-axis and the negative x-axis, or graphically, symmetric about the y-axis. https://www.cuemath.com › calculus › even-function\n- 1 What makes a function even?\n- 2 What is an example of an even function?\n- 3 What is an odd function example?\n- 4 Is a linear function even or odd?\n- 5 What types of functions are even or odd?\n- 6 Which function is an odd function?\n- 7 What is an example of a function that isn’t even or odd?\n- 8 Is 0 neither odd nor even?\n- 9 Is 2.5 odd or even?\n- 10 How do you identify odd numbers?\n- 11 Is 67 odd or even?\nEven Function – Cuemath\n, f(-x) = f(x), for all x, for an odd function odd function Odd Function. The odd functions are functions that return their negative inverse when x is replaced with –x. This means that f(x) is an odd function when f(-x) = -f(x). Some examples of odd functions are trigonometric sine function, tangent function, cosecant function, etc. https://www.cuemath.com › calculus › odd-functions\nOdd Functions – Cuemath\nf(-x) = -f(x), for all x. If f(x) ≠ f(−x) and −f(x) ≠ f(−x) for some values of x, then f is neither even nor odd.\nA function f is even if f(−x)=f(x), for all x in the domain of f. A function f is odd if f(−x)=−f(x), for all x in the domain of f.\nWhat makes a function even?\nA function is called an even function if its graph is unchanged under reflection in the y-axis. Suppose f(x) is a function such that it is said to be an even function if f(-x) is equal to f(x).\nWhat is an example of an even function?\nOdd Function – A function \\(f\\) is called an odd function if \\begin f(x)=-f(-x) \\end for all \\(x \\) in the domain of \\(f \\text \\) In other words, a function is odd if performing a reflection about the \\(y\\)-axis and \\(x\\)-axis (doesn’t matter which is performed first) does not change the graph of the function.\nWhat is an odd function example?\nWhat is an Odd Function? –\n- Assume f to be a real-valued function of a variable that is real. The function f is odd when the equation is valid for all the values of x in a way that x and – x is present in the domain of the function f,\n- -f(x) = f(-x)\n- Or equivalently,\n- f(x) + f(-x) = 0\n- For example, f(x) = x 3 is an odd function, because for all value of x, -f(x) = f(-x).\nWhat’s the difference between odd and even?\nWhat are even and odd numbers? – Even numbers are divisible by 2 without remainders. They end in 0, 2, 4, 6, or 8. Odd numbers are not evenly divisible by 2 and end in 1, 3, 5, 7, or 9. You can tell whether a number is odd or even regardless of how many digits it has by looking at the final digit.\nIs a linear function even or odd?\nThis linear function is symmetric about the origin and is an odd function : f ( x ) = f ( − x ). As shown earlier in the concept, this quadratic function is symmetric about the -axis and is an even function: f ( x ) = f ( − x ).\nWhat types of functions are even or odd?\nHow are you supposed to tell even and odd functions apart? An even function is one whose graph exhibits about the y -axis; an odd function is one whose graph exhibits symmetry about the origin. Which is a fancy way of saying that, if you split the graphs down the middle at the y -axis, an even function’s halves will mirror each other exactly, while an odd function’s halves with be upside-down of each other.\nIn order to “determine algebraically” whether a function is even, odd, or neither, you take the function and plug − x in for x, simplify, and compare the results with what you’d started with. If you end up with the exact same function that you started with (that is, if f (− x ) = f ( x ), so all of the signs are the same), then the function is even; if you end up with the exact opposite of what you started with (that is, if f (− x ) = − f ( x ), so all of the signs are switched), then the function is odd.\nIf the result is neither exactly the same nor exactly opposite (that is, if the result has neither all the same terms nor all the same terms but with opposite signs), then the function is neither even nor odd. Most functions, in fact, will be neither even nor odd.\nWhich of the 12 functions are even?\nEven Functions: The squaring function and the absolute value function. Odd Functions: The identity function, the cubing function, the reciprocal function, the sine function. Neither: The square root function, the exponential function and the log function.\nWhich function is an odd function?\nA function is odd if, for each x in the domain of f, f(−x)=−f(x). Odd functions have 180° rotational symmetry about the origin.\nWhat is an example of a function that isn’t even or odd?\nWhen we think “even and odd,” usually even and odd numbers are what come to mind. But what are even and odd functions? In today’s video, we will define even and odd functions and discuss how to identify them. Let’s begin by talking about even functions. Notice that the shape of this familiar parabola is visibly symmetric. The left and right sides of the plane are identical, just flipped. We can also show that this function is even algebraically, by evaluating at \\(-x\\), So our original function is \\(f(x)=x^ \\),\nAnd we said that, if \\(f(-x)\\) is the same as \\(f(x)\\), then the function is even. So let’s evaluate at \\(-x\\), So, wherever there’s an \\(x\\), we’re gonna plug in \\(-x\\), So we have: \\(f(-x)=(-x)^ \\) Which, when you square a negative, it turns positive, so this is equal to: \\(f(-x)=(-x)^ =x^ \\) So in this case, \\(f(-x)=f(x)\\),\nAnd because of our definition of even, this function, \\(f(x)=x^ \\), is even. Notice that if we add a constant to this function, it won’t affect the shape of the function, just raise or lower it on the plane. For example, this is the graph of \\(f(x)=x^ +1\\), Now let’s talk about what odd functions are like. Consider another function \\(f(x)\\), which we will once again evaluate at \\(-x\\), But this time, instead of looking for the same \\(f(x)\\) we started with, we want to see if \\(f(-x)\\) changes the sign of all terms in the function.\nIn other words, if \\(f(-x)=-f(x)\\), then the function is odd, Graphically, an odd function will appear the same when we rotate it by 180°, like flipping a page upside down, and it must pass through the origin. A few examples of odd functions are: \\(f(x)=x\\), \\(f(x)=x^ \\), and \\(f(x)=sin(x)\\) Let’s take a look at what’s going on here algebraically, using \\(f(x)=x^ \\) as an example.\nSo we’re gonna have our original function: \\(f(x)=x^ \\), And just like before, we’re gonna evaluate it at \\(-x\\), So we want \\(f(-x)\\), So anywhere we see an \\(x\\), we’re gonna plug in \\(-x\\), \\(f(-x)=(-x)^ \\) So \\((-x)^ \\), which is \\(-x\\cdot-x\\cdot-x\\), which means, since there are three negatives, our final answer’s gonna be \\(-x^ \\),\n- F(-x)=-x^ \\) So if you notice, \\(f(x)\\) is the opposite of \\(f(-x)\\),\n- Each term, which in this case we only have one, is changed from positive to negative.\n- So that means that this function is odd.\n- Notice that if we were to add a constant to this function, it would no longer be odd.\n- Remember that for odd functions, every term must change signs when evaluating at \\(-x\\),\nThat constant term would have no way to change sign, and we would see on the graph that the function would no longer pass through the origin. So we have now talked about definitions of both even and odd functions but before we go further, it’s important to clarify that some functions may be neither even nor odd! For example, take a look at the function \\(f(x)=(x+1)^ \\), From the graph we can see that this function doesn’t pass through the origin, so it can’t be odd. And it isn’t symmetric about the \\(y\\) -axis, so it isn’t even either. But we can also determine this algebraically. So our function is \\(f(x)=(x+1)^ \\), And remember, to determine if it’s even or odd, we want to evaluate it at \\(-x\\),\n- So we have: \\(f(-x)=(-x+1)^ \\) Which we can write as: \\(f(-x)=(-x+1)^ =(-x+1)(-x+1)\\) ‘cause that’s what the squared means.\n- And then from here we can FOIL.\n- So: \\(-x\\cdot-x=x^ \\) \\(1\\cdot-x=-x\\) \\(-x\\cdot1=-x\\) And, \\(1\\cdot1=1\\) So we have: \\(f(-x)=x^ -2x+1\\) But remember, to determine even or odd, we have to compare this to our original function.\nSo let’s expand that. So for this, we have: \\(f(x)=(x+1)(x+1)\\) Which is: \\(x⋅x=x^ \\) \\(1\\cdot x=x\\text x\\cdot1=x,\\text 2x\\) \\(1\\cdot1=1\\) \\(f(x)=(x+1)(x+1)=x^ +2x+1\\) Now, when we compare these two functions, we see that only one of the three terms ended up changing signs, so \\(f(x)\\) is not odd.\nAnd since one term did change sign, \\(f(x)\\neq f(-x)\\), so the function is not even either. Now that we’ve laid a groundwork for understanding even and odd functions, let’s talk about why we call them even and odd in the first place. Remember that even functions are the same when we evaluate them at \\(+x\\) and at \\(-x\\),\nAs we saw earlier, \\(f(x)=x^ \\) satisfies this property because anytime we square something, a positive value is returned, and therefore the sign of that term doesn’t change even if we plug a negative value in. The same is true when something is raised to the fourth power, or the sixth, and so on.\n- Notice that constants do not change sign when we evaluate at \\(-x\\) either.\n- That’s why we saw that the function \\(f(x)=x^ +1\\) was still even.\n- As you can see, an even function will have even exponents,\n- It may be unsurprising now that odd functions likewise will have odd exponents ! Remember that in order for a function to be odd, all terms must change sign when we evaluate at \\(-x\\),\nClearly, any term with \\(x\\) to the first power will change sign when we plug in a negative value of \\(x\\), In the same way, \\(x\\) to the third power, the fifth power, and so on will all change sign when we plug in a negative value for \\(x\\), As we mentioned earlier, when a term has an even power of \\(x\\), it will not change sign. Neither. This function is not symmetric about the \\(y\\) -axis, so it is not even. And even though it passes through the origin, it is not odd either because it would not appear the same if we were to rotate the image 180°. Let’s try another one. Is the function \\(f(x)=\\frac x^ -2x\\) even, odd, or neither? Let’s look at each term.\n- First, \\(\\frac x^ \\) has an odd power of \\(x\\), meaning that the sign will change when evaluated at \\(-x\\),\n- Similarly, the second term, \\(-2x\\), has an odd power of \\(x\\) and will also change sign.\n- That means this function is odd! Let’s finish with a more conceptual question.\n- We know that some functions may be neither even nor odd, but is it possible for a function to be both even and odd? Surprisingly, the answer is yes, but only for one function.\nCan you think of what function that is? Remember that for even functions, \\(f(-x)=f(x)\\), and for odd functions, \\(f(-x)=-f(x)\\), The only way both of these can be satisfied is when \\(f(x)=0\\), \\(f(-x)=f(x)\\) \\(and\\) \\(f(-x)=-f(x)\\) As a quick recap, we can identify even and odd functions in the following ways: Graphically, even functions are symmetric about the \\(y\\) -axis.\n- And they don’t have to pass through the origin.\n- Though, odd functions must pass through the origin, and they will appear the same when viewed from a 180° rotation.\n- Algebraically, even functions are the same when we evaluate at \\(+x\\) and at \\(-x\\),\n- Odd functions will change signs across all terms when evaluated at \\(-x\\),\nAs a shortcut, if a function contains only even exponents of \\(x\\) (and may or may not have constants) then it is even. If a function has no constants and only odd exponents of \\(x\\), then it is odd. Now that we’ve covered everything and run through some examples, you should be pretty comfortable with identifying even and odd functions.\nIs 0 neither odd nor even?\nZero is an even number. In other words, its parity—the quality of aninteger being even or odd—is even. The simplest way to prove that zero iseven is to check that it fits the definition of ‘even’: it is an integermultiple of 2, specifically 0 × 2.\nIs 2.5 odd or even?\nStandard Form –\n- The standard form to represent the even number and odd numbers are as follows:\n- Even Number = 2n\n- Odd Number = 2n+1\n- Where “n” can be any integer.\nZero is an even number because it obeys all the properties of the even number such as divisibility rule, and number line rule. The number 2.5 is neither even nor odd because it does not obey the property of even and odd numbers. If ” n” is an integer, the even numbers are represented in the form “2n”.\nHow do you identify odd numbers?\nOdd Numbers (Definition, Chart, Properties & Solved Examples) Odd numbers are the numbers that cannot be divided by 2 evenly. It cannot be divided into two separate integers evenly. If we divide an odd number by 2, then it will leave a remainder. The examples of odd numbers are 1, 3, 5, 7, etc.\nIs 67 odd or even?\n67 (sixty-seven) is the natural number following 66 and preceding 68. It is an odd number.\nWhat makes a function graph even?\nA function is said to be an even function if its graph is symmetric with respect to the y-axis. For example, the function f graphed below is an even function. Verify this for yourself by dragging the point on the x-axis from right to left.\nWhat makes a polynomial function even?\nA polynomial is even if each term is an even function. A polynomial is odd if each term is an odd function. A polynomial is neither even nor odd if it is made up of both even and odd functions.\nWhat makes a rational function even?\nOptions: If the signs all stay the same or all change, f(-x) = f(x), then you have even or y-axis symmetry. If either the numerator or the denominator changes signs completely, f(-x)= -f(x) then you have odd, or origin symmetry.\nWhat makes a trig function even?\nKey Concepts –\n- The tangent of an angle is the ratio of the y -value to the x -value of the corresponding point on the unit circle.\n- The secant, cotangent, and cosecant are all reciprocals of other functions. The secant is the reciprocal of the cosine function, the cotangent is the reciprocal of the tangent function, and the cosecant is the reciprocal of the sine function.\n- The six trigonometric functions can be found from a point on the unit circle. See Example,\n- Trigonometric functions can also be found from an angle. See Example,\n- Trigonometric functions of angles outside the first quadrant can be determined using reference angles. See Example,\n- A function is said to be even if \\(f(−x)=f(x)\\) and odd if \\(f(−x)=−f(x)\\).\n- Cosine and secant are even; sine, tangent, cosecant, and cotangent are odd.\n- Even and odd properties can be used to evaluate trigonometric functions. See Example,\n- The Pythagorean Identity makes it possible to find a cosine from a sine or a sine from a cosine.\n- Identities can be used to evaluate trigonometric functions. See Example and Example,\n- Fundamental identities such as the Pythagorean Identity can be manipulated algebraically to produce new identities. See Example,\n- The trigonometric functions repeat at regular intervals.\n- The period \\(P\\) of a repeating function f f is the smallest interval such that \\(f(x+P)=f(x)\\) for any value of \\(x\\).\n- The values of trigonometric functions of special angles can be found by mathematical analysis.\n- To evaluate trigonometric functions of other angles, we can use a calculator or computer software. See Example,", "label": "Yes"} {"text": "We study the absolute Galois group by looking for invariants and orbits of its faithful action on Grothendieck’s dessins d’enfants. We define a class of functions called Belyi-extending maps, which we use to construct new Galois invariants of dessins from previously known invariants. Belyi-extending maps are the source of “new-type” relations on the injection of the absolute Galois group into the Grothendieck–Teichmüller group. We make explicit how to get from a general Belyi-extending map to formula for its associated invariant which can be implemented in a computer algebra package. We give an example of a new invariant differing on two dessins which have the same values for the other readily computable invariants.\nCite this article\nMelanie Matchett Wood, Belyi-Extending Maps and the Galois Action on Dessins d’Enfants. Publ. Res. Inst. Math. Sci. 42 (2006), no. 3, pp. 721–737DOI 10.2977/PRIMS/1166642157", "label": "Yes"} {"text": "You have 15 sticks of length 1cm, 2cm, ..., 15cm (one of each length). How many triangles can you make by picking three sticks and joining their ends?\nNote: Three sticks (eg 1, 2 and 3) lying on top of each other does not count as a triangle.\nNote: Rotations and reflections are counted as the same triangle.\nIf you write out the numbers from 1 to 1000 (inclusive), how many times will you write the digit 1?\nNot Roman numerals\nThe letters \\(I\\), \\(V\\) and \\(X\\) each represent a different digit from 1 to 9. If$$VI\\times X=VVV,$$\nwhat are \\(I\\), \\(V\\) and \\(X\\)?\nThe sequence of six numbers above has two properties:\n- Each number is either 0, 1 or 2.\n- Each pair of consecutive numbers adds to (strictly) less than 3.\nToday's number is the number of sequences of six numbers with these two properties\nIn base 2, 1/24 is 0.0000101010101010101010101010...\nIn base 3, 1/24 is 0.0010101010101010101010101010...\nIn base 4, 1/24 is 0.0022222222222222222222222222...\nIn base 5, 1/24 is 0.0101010101010101010101010101...\nIn base 6, 1/24 is 0.013.\nTherefore base 6 is the lowest base in which 1/24 has a finite number of digits.\nToday's number is the smallest base in which 1/10890 has a finite number of digits.\nNote: 1/24 always represents 1 divided by twenty-four (ie the 24 is written in decimal).\nPut the digits 1 to 9 (using each digit exactly once) in the boxes so that the sums are correct. The sums should be read left to right and top to bottom ignoring the usual order of operations. For example, 4+3×2 is 14, not 10. Today's number is the smallest number you can make using the digits in the red boxes.\nToday's number is the sum of all the numbers less than 40 that are not factors of 40.", "label": "Yes"} {"text": "...That's the goal: success! My goal is to provide you with the necessary tools to be successful. I understand that math is challenging.\nProspect Heights, ILView Tutor\n...I strongly believe that students have the ability to succeed in any academic subject or standardized exams if they have the proper guidance and a willingness to put forth consistent effort in their work. As a tutor, I will do my best to help achieve mastery and success. If you are interested in...\nDowners Grove, ILView Tutor\nI am an educator who enjoys teaching and interacting with students. I have over 10 years of experience in the classroom as well as an administrator. I've taught 6th-8th grade math and I have expertise in Pre-Algebra, Algebra 1, Honors Algebra 1, Geometry and Honors Geometry.\nHomewood, ILView Tutor\n...Know that I am very much looking forward to meeting you! Please let me know if you have additional questions, and I will be sure to promptly answer them. I have grown up my entire life playing, coaching, or watching football.\nChicago, ILView Tutor\n...As a substitute teacher in two different school districts working in one for six years and one for two years and being a recently certified K-9 teacher I always enjoy teaching Geometry. It is the one Math subject where you get to use three dimensional shapes, work with lies and shapes and triang...\nBolingbrook, ILView Tutor", "label": "Yes"} {"text": "ESTIMATES OF THE BERGMAN KERNEL FUNCTION ON PSEUDOCONVEX DOMAINS WITH COMPARABLE LEVI FORM Cho, Sang-Hyun;\nLet be a smoothly bounded pseudoconvex domain in and let b a point of finite type. We also assume that the Levi form of b is comparable in a neighborhood of . Then we get precise estimates of the Bergman kernel function, (z, w), and its derivatives in a neighborhood of . .", "label": "Yes"} {"text": "The indicated function y1(x) is a solution of the given differential equation.\nUse reduction of order or formula (5) in Section 4.2,\ny2 = y1(x) e−∫P(x) dx y 2 1 (x) dx (5)\nas instructed, to find a second solution y2(x). y'' + 100y = 0; y1 = cos 10x\nI've gotten to the point all the way to where y2 = u y1, but my integral is wrong for some reason\nThis was my answer\ny2= c1((sin(20x)+20x)cos10x)/40 + c2(cos(10x))\nGet Answers For Free\nMost questions answered within 1 hours.", "label": "Yes"} {"text": "Date of Award\nOpen Access Dissertation\nCollege of Education\nDoctorate of Education, Ed.D.\nBelle B. Booker-Zorigian, Ph.D.\nJoanna Gilmore, Ph.D.\nAlecia C. Eubanks, Ph.D.\nmindset, religiosity, achievement, math achievement, bioecological model\nGrowth mindset and religiosity as separate constructs have been shown to increase student achievement. This study sought to discover if a relationship existed between religiosity and mindset, as well as if mindset or religiosity could predict math achievement. A mixed methods study, guided by Brofenbrenner’s bioecological model, was conducted. This non-experimental quantitative study found a small statistically significant relationship between mindset and religiosity (p < .05). However, religiosity and mindset were not correlated with math achievement; therefore, these constructs could not be used to predict math achievement. Focus group interviews were used to further study the relationship between mindset and religiosity. Students were asked to describe how they developed both their mindset and religiosity beliefs, and then to discuss how these constructs work, both together and separately, to impact academic achievement. Through In Vivo and Process coding, two themes and one key assertion emerged from the interviews. Theme 1: Environmental factors impact religiosity and mindset. Theme 2: Religiosity and mindset impact academic success. Key Assertion: Religiosity and mindset are two distinct yet harmonious constructs within adolescents. Religiosity and mindset influence each other as students grow, develop, and achieve in school.\nCU Commons Citation\nLuebke, Kathryn, \"Religiosity, Mindset, and Math Achievement\" (2019). Ed.D. Dissertations. 305.", "label": "Yes"} {"text": "Math Interactive Notebook 6Th Grade. Interactive math notebook for second grade go math chapter 6. 6th grade math interactive notebook pdf.\nPage 1 cornell notes for. Ad nurture your 6th grader's curiosity in math, english, science, and social studies. Hints for implementing math notebooks 5.\nA Digital Interactive Notebook Allows You To Take Cut And Paste, Sorting, Or Matching Interactive Activities And Allow Them To Be Completed.\n6th grade math interactive notebook. The interactive notebook is more than a notebook in which to take notes. This notebook is absolutely amazing!\nVocabulary For Every Sixth Grade Math Standard Is Covered.\nAd bring learning to life with thousands of worksheets, games, and more from education.com. History digital interactive notebook from teachingideas4u.com try free for 30 days. Notify me when this product is available:\nPage 1 Cornell Notes For.\nSixth grade math interactive notebook bundle all. 6th grade math interactive notebook. This is a for my 6th grade math interactive notebook.\nIt Will Replace Your Math Textbook.\n6th grade math interactive notebook from www.exploremathindemand.com this is a whole years worth of interactive Each page has the common core standard and activity that goes along with the standard. This is a whole years worth of interactive notebook for 6th grade math.\nThe First Page Is More Aimed Towards Direct Instruction / Notes.\nMath notebook cover template 4. There are 5 units (6 units including unit 0). 6th grade math interactive notebook free.\nRelated Posts for Math Interactive Notebook 6Th Grade\n- Create Your Own Culture Project\n- Ode To Family Photographs Answer Key\n- Oh Deer Door Decoration\n- Lowercase C In Cursive\n- Amoeba Sisters Meiosis Worksheet Answer Key\n- Under The Sea Sign\n- Cross Section Worksheet Form A Answer Key Pdf\n- Biography Rubric 4Th Grade\n- Weirdo Graphic Organizer Subjuntive\n- Staar Review Algebra 1", "label": "Yes"} {"text": "Model reconstruction from temporal data for coupled oscillator networks.\nIn a complex system, the interactions between individual agents often lead to emergent collective behavior such as spontaneous synchronization, swarming, and pattern formation. Beyond the intrinsic properties of the agents, the topology of the network of interactions can have a dramatic influence over the dynamics. In many studies, researchers start with a specific model for both the intrinsic dynamics of each agent and the interaction network and attempt to learn about the dynamics of the model. Here, we consider the inverse problem: given data from a system, can one learn about the model and the underlying network? We investigate arbitrary networks of coupled phase oscillators that can exhibit both synchronous and asynchronous dynamics. We demonstrate that, given sufficient observational data on the transient evolution of each oscillator, machine learning can reconstruct the interaction network and identify the intrinsic dynamics.\nPanaggio, MJ; Ciocanel, M-V; Lazarus, L; Topaz, CM; Xu, B\nVolume / Issue\nStart / End Page\nElectronic International Standard Serial Number (EISSN)\nInternational Standard Serial Number (ISSN)\nDigital Object Identifier (DOI)", "label": "Yes"} {"text": "A motorcycle traveling at 30 m/s comes to a stop over a distance of 150 m. What was the motorcycle's acceleration?\nThe Attempt at a Solution\nI tried plugging in what I know.\nThen I divided 150 m and 900 by 150:\nThis yields an answer of -4. It doesn't seem right, but I can't place why. I think I may have needed to divide the v^2 by 150, but that's 0/150, which wouldn't make sense. Thanks in advance for a reply!", "label": "Yes"} {"text": "Design your own scoring system and play Trumps with these Olympic Sport cards.\nHere is a version of the game 'Happy Families' for you to make and play.\nA game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.\nCan you make the birds from the egg tangram?\nHover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?\nTake it in turns to make a triangle on the pegboard. Can you block your opponent?\nHave a go at this game which has been inspired by the Big Internet Math-Off 2019. Can you gain more columns of lily pads than your opponent?\nBoard Block game for two. Can you stop your partner from being able to make a shape on the board?\nSolve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.\nThis article, the second in the series, looks at some different types of games and the sort of mathematical thinking they can develop.\nThis article supplies teachers with information that may be useful in better understanding the nature of games and their role in teaching and learning mathematics.\nA shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.\nA game for two players on a large squared space.\nAn interactive activity for one to experiment with a tricky tessellation\nThe game uses a 3x3 square board. 2 players take turns to play, either placing a red on an empty square, or changing a red to orange, or orange to green. The player who forms 3 of 1 colour in a line. . . .\nA game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.\nTake it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?\nA game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.\nA Sudoku with clues given as sums of entries.\nA game for 2 players. Take turns to place a counter so that it occupies one of the lowest possible positions in the grid. The first player to complete a line of 4 wins.\nAn old game but lots of arithmetic!\nA game for 2 players. Given a board of dots in a grid pattern, players take turns drawing a line by connecting 2 adjacent dots. Your goal is to complete more squares than your opponent.\nThe computer starts with all the lights off, but then clicks 3, 4 or 5 times at random, leaving some lights on. Can you switch them off again?\nTry this matching game which will help you recognise different ways of saying the same time interval.\nIn this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?\nHow long does it take to brush your teeth? Can you find the matching length of time?\nFirst Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.\nSeeing Squares game for an adult and child. Can you come up with a way of always winning this game?\nShut the Box game for an adult and child. Can you turn over the cards which match the numbers on the dice?\nSpiralling Decimals game for an adult and child. Can you get three decimals next to each other on the spiral before your partner?\nGillian Hatch analyses what goes on when mathematical games are used as a pedagogic device.\nA game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.\nHere is a chance to play a version of the classic Countdown Game.\nAn extension of noughts and crosses in which the grid is enlarged and the length of the winning line can to altered to 3, 4 or 5.\nEverthing you have always wanted to do with dominoes! Some of these games are good for practising your mental calculation skills, and some are good for your reasoning skills.\nThis is an adding game for two players.\nPlayers take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.\nA game for two players. You'll need some counters.\nA fun game for two. You'll need some counters.\nBoard Block Challenge game for an adult and child. Can you prevent your partner from being able to make a shape?\nIn this article for teachers, Liz Woodham describes the criteria she uses to choose mathematical games for the classroom and shares some examples from NRICH.\nHere are a collection of games from around the world to try during the holidays or the last few weeks of term.\nYou'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?\nWho said that adding couldn't be fun?\nCan you work out how to win this game of Nim? Does it matter if you go first or second?\nThis challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?\nWe think this 3x3 version of the game is often harder than the 5x5 version. Do you agree? If so, why do you think that might be?\nWhat might your first lesson with a new class look like? In this article, Cherri Moseley makes some suggestions for primary teachers.\nUse the tangram pieces to make our pictures, or to design some of your own!\nUse your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.", "label": "Yes"} {"text": "Every Tuesday we send out an email to every employee with information from the district This email...\nWe are excited to announce three mathematics summer professional learning courses for 2019! Note that all locations will offer participants the chance to engage in either the elementary or secondary Mathematics for All Students course on Monday and Tuesday AND THEN the What the Tech? course on Wednesday and Thursday for a fluid four day run of fantastic mathematics-centric professional learning! See below for course details, dates, and locations.\nEach course participant will receive the following:\nCopy of MTSS in Mathematics Framework Triple EEE Framework Opportunity to collaborate with colleagues Opportunity to earn a $150 stipend via completion of a project related to the course (thanks to the STEM Action Center’s generous donation).\nSign up in MIDAS today using the course codes next to each course!\nElementary Mathematics For All Students (Course #50652):\nRe-invigorate your math instruction by coming together to collaborate with teachers, engage with rich mathematics tasks, and apply key practices to your own math classroom. Leave with concrete strategies you can use to enhance your planning, instruction, and assessment to create an equitable learning environment that enables all of your students to succeed in mathematics.\nSecondary Mathematics for All Students (Course #52312):\nParticipants will learn to apply the Utah Multi-Tiered System of Support (UMTSS) framework to increase student learning of mathematics and promote high expectations for each and every student. The sessions will focus on practical strategies to implement high quality math tasks in an accessible way, elicit student thinking, and support productive struggle. Discussions and activities will integrate and encompass the critical components of the UMTSS framework: High-quality Instruction, Team-based Problem Solving, and Data-based Decision Making.\nWhat the Tech? Improving the Efficacy of Your Mathematics Classroom (Course #52275):\nWhat the heck is “What the Tech”? In this course, mathematics plays the lead role with technology as the supporting actor. Come learn about what makes a mathematics classroom effective, how to incorporate technology into a mathematics classroom strategically and how to evaluate what’s working and what is not. Novice to expert tech users from grades K-12 will be engaged in the use of digital tools to provide opportunities for students to reason critically, communicate effectively, and model mathematical concepts using multiple representations. (Click on the link in the course title for an advertisement video.)\nEach two-day course will cost $25 and will get participants lunch on both days, resources, and MIDAS credit.\nCourses will run during the following dates and locations from 8:00 a.m. – 4:00 p.m. each day:\nMathematics for All Students: Monday and Tuesday (or Tuesday and Wednesday)\nWhat the Tech?: Wednesday and Thursday (or Thursday and Friday)\n- May 28-31, 2019 (Tuesday-Friday) Nebo School District\n- June 3-6, 2019 (Monday – Thursday) Iron County\n- June 3-6, 2019 (Monday – Thursday) Davis School District\n- June 10-13, 2019 (Monday – Thursday) Washington County\n- June 17-20, 2019 (Monday – Thursday) Cache County\n- June 17-19, 2019 (Monday – Thursday) San Juan County\n- June 24-27, 2019 (Monday – Thursday) Salt Lake\n- June 24-27, 2019 (Monday – Thursday) Alpine\nIf you have any questions about these courses, please reach out to\nShannon Ference for Elementary Mathematics (email@example.com),\nJoleigh Honey for Secondary Mathematics (firstname.lastname@example.org) and,\nNathan Auck for What the Tech? (email@example.com)", "label": "Yes"} {"text": "Actually my teaching method is step by step trying to teach the students and clearing their doubts , first every student should understand the topic/step .\nI would prefer to teach students of 9,10,11 & 12 (science) i would love to teach them\nI am an mechanical engg., I always loved maths from the beginning ,also i loved to teach maths to my friends ,till now i have not have any experience in teaching , but i would love teaching.\nmaths lessons closeby? Here's a selection of tutor listings that you can check out.\nSuperprof can also suggest algebra lessons to help you.\nLearning isn't a problem, arithmetic lessons for all!\nTaking geometry lessons has never been easier: you're going to learn new skills.\n|at his home||at your home||By webcam|\n|1 hour||Not available||Not available||RM34|", "label": "Yes"} {"text": "Its been a long time since I needed to understand algebra and when it came time to helping my son, I couldnt do it. Now, with your algebra software, we are both learning together. D.H., Tennessee\nI do not have any issues. I just wanted to let you know that I am glad I purchased your product. I also appreciate the updates as they not only make for a better looking product, but things seem to be more user friendly now. Sonya Johnson, TX\nWhat a great friendly interface, full of colors, witch make Algebra Buster software an easy program to work with, and also it's so easy to work on, u don't have to interrupt your thoughts stream every time u need to interact with the program. Christian Terry, ID.\nI liked the detailed, clearly explained step by step process that Algebra Buster uses. I'm able to go into my class and follow along with the teacher; it's amazing! Carl J. Oldham, FL\nStudents struggling with all kinds of algebra problems find out that our software is a life-saver. Here are the search phrases that today's searchers used to find our site. Can you find yours among them?\nSearch phrases used on 2009-04-09 :\nsecond order linear homogenous ODE solve\n2nd order runge kutta matlab\n7th grade sample slope intercept problems\ntechnique in solving fractions\ngeometry cheat sheets\nonline division solver\nelimination method rules-math\nmcdougal littell geometry answers\nhow to make a factoring program on a graphing calculator", "label": "Yes"} {"text": "Math Magic Square Worksheet – Through the thousands of photographs on the web with regards to math magic square worksheet\n, choices the top series with best quality exclusively for you all, and now this photos is usually one among pictures choices within our finest photographs gallery regarding Math Magic Square Worksheet. I really hope you’ll want it.\nThis particular impression (Math Magic Square Worksheet Lovely 7 Best Math Puzzle Boxes Images On Pinterest) previously mentioned can be classed having: math magic,math magic indesign,math magic sticks,math magician,math magician division,math magician multiplication,\nplaced through Layla with 2018-08-18 04:55:18. To discover all photos throughout Math Magic Square Worksheet pictures gallery you should adhere to that url.\nThe Most Elegant as well as Interesting math magic square worksheet\nintended for Inspire The house Found Property|Inviting DesireHouse\nMath Magic Square Worksheet Lovely 7 Best Math Puzzle Boxes Images On Pinterest Uploaded by Layla on Saturday, August 18th, 2018 in category Multiplication Worksheets Grade 5.\nHere we have another image Math Magic Square Worksheet Awesome Magic Number Math Worksheet featured under Math Magic Square Worksheet Lovely 7 Best Math Puzzle Boxes Images On Pinterest. We hope you enjoyed it and if you want to download the pictures in high quality, simply right click the image and choose \"Save As\". Thanks for reading Math Magic Square Worksheet Lovely 7 Best Math Puzzle Boxes Images On Pinterest.", "label": "Yes"} {"text": "Now showing items 1-2 of 2\nMLFMA solutions of transmission problems Involving realistic metamaterial walls\nWe present the solution of multilayer metamaterial (MM) structures containing large numbers of unit cells, such as split-ring resonators. Integral-equation formulations of scattering problems are solved iteratively by ...\nSolutions of large integral-equation problems with preconditioned MLFMA\nWe report the solution of the largest integral-equation problems in computational electromagnetics. We consider matrix equations obtained from the discretization of the integral-equation formulations that are solved ...", "label": "Yes"} {"text": "It is a great idea to start introducing various concept to your child once they turns one. You can also point out simple objects or things they encounter in their daily lives. Here are some tips that will help you to teach preschoolers through a nice creative and educational exercise.\nToddlers and preschoolers only start associating objects with certain colors, sizes, and shapes. How to help them to develop logical thinking? With ‘Odd one out’ game – they can classify objects based on known concepts which depends upon visualization, comparison and discrimination.\nAn understanding of numbers helps children to learn, count and develop a basic sense of how numbers function. Understanding of numbers prepares preschoolers for the more complex mathematical tasks that they will face in their school years.", "label": "Yes"} {"text": "These fortune tellers are a fun way for students to practice basic multiplication facts. They can be sent home for students to practice with parents or friends, or can be laminated and used as a math center. Each page includes instructions for cutting and folding the fortune teller. I have used these with third, fourth, and fifth graders and all students have enjoyed using these fortune tellers to study.\nPreview is of the 0's fortune teller that is available in my TpT store. This product is the 5's fortune teller.\nCheck out my other fortune tellers to help your students practice their multiplication facts!", "label": "Yes"} {"text": "Effective ways of studying algebra include reading the complete question, drawing diagrams, learning to use a calculator and starting over where necessary. When faced with a difficult problem when taking a practice test, continue with the test and return to the problem later.\nFirst, reading math problems carefully and completely helps to give a clear idea of what is expected and the calculations required to arrive at an answer. Next, draw a diagram whenever possible. This helps to get a visual image of the problem and to see the problem objectively. This visual approach also adds auxiliary lines or labels for ideas on how to solve the problem.\nKnowing how and when to use a calculator helps to get more accurate answers. It is a good idea to use the same calculator whenever possible. Read the instruction manual carefully to be conversant with the different applications.\nStart a problem over again on a new sheet of paper when met with incorrect answers. Spending too much time attempting to find the error in the calculations is a time consuming process, risks overlooking the mistake and also takes the focus away from the question.\nLastly, keep the workspace and paper clean and easy to read. All work on the paper, including equations, diagrams, calculations and explanations should be written down clearly for the best result. Keeping organized also helps the student trace the correct line of thinking on the page when she finds the correct answer.", "label": "Yes"} {"text": "Published at Tuesday, August 18th 2020, 13:56:04 PM by Trinetta Klein. Kindergarten Worksheets. This sounds like an awful lot, does not it! A good set of preschool worksheets should cover all of this, and more. In the preschool years, repetition is the key to learning, but you should look for worksheets that teach the same skills in a variety of ways. This not only prevents boredom setting in, but also reinforces the concepts by encouraging understanding as well. The importance of reading to your child cannot be emphasised enough, and you should encourage them to read as much as possible too.\nPublished at Friday, August 21st 2020, 06:24:51 AM by Madelon Roche. Kindergarten Worksheets. Math is a basic subject and hence, it is included in the curriculum from the kindergarten level. However, doing math is not at all a good experience for all students. The subject needs more concentration and step-by-step understanding. Students cannot follow the same methodology for math preparation as they generally do for other subjects including geography, chemistry, physics and others. Math needs more practice and this is one of the subjects in which students can score well and improve their overall grades in exams. This subject has broad real life applications from purchasing groceries to maintaining bank transactions. We use math everywhere. We start learning math from our childhood days, for example counting flowers and birds with our parents. Moreover, some students face difficulties while solving math and to overcome these learning problems, some steps are discussed below.\nPublished at Sunday, August 23rd 2020, 11:58:35 AM. Kindergarten Worksheets By Voleta Leroy. There is one learning style that is absolutely essential if young children are to learn effectively. Children demonstrate their love of this approach on a daily basis often to the accompaniment of hair being torn out by frustrated parents. Young children are hands on learners. Nothing is usually too hot or too heavy. This tactile approach to life in general is their way of discovering and processing information about the world around them. \"Children are born true scientists. They spontaneously experiment and experience and re-experience again. They select, combine, and test, seeking to find order in their experiences - \"which is the moistest? which is the least-est? They smell, taste, bite, and touch-test for hardness, softness, springiness, roughness, smoothness, coldness, warmness: they heft, shake, punch, squeeze, push, crush, rub, and try to pull things apart.\"\nPublished at Sunday, August 23rd 2020, 11:57:37 AM. Kindergarten Worksheets By Harriett Leroux. Play is how children utilize this particular learning style. Play is one of the most powerful vehicles for facilitating learning. When you play with your child you are demonstrating how much you value them and enjoy their company. This helps build self-esteem and many studies now reveal that children with high emotional intelligence will outperform children with higher IQ but lower self esteem. In the UK questions are being asked regarding whether children are given enough time to simply play. The pattern seems to be that children are given more time to play during their early years in school but towards the middle years a more formal approach dominates their school day. Emeritus Professor Barbara argues that the tendency for state education to focus on a more formal, left-brain orientated approach to learning can have disastrous implications for a significant percentage of children, particularly boys, who tend to be predominantly tactile learners.\nPublished at Sunday, August 23rd 2020, 11:48:23 AM. Kindergarten Worksheets By Fantine Leduc. Once you have a scope and sequence book, make a list of each area in math that he needs to work on for the school year. For example for grades three and four, by the end of the year in subtraction, your child should be able to: Solve vertical and horizontal computation problems, Review subtraction of 2 numbers whose sums would be 18 or less, subtract 1- or 2-digit number from a 2-digit number with/without renaming, subtract 1-, 2-, or 3-digit numbers from 3- and 4-digit number with/without renaming, Subtract 1-, 2-, 3-, 4-, or 5-digit number from a 5-digit number. When you have this list, begin searching online for free math worksheets that fit your child has scope and sequence for the year and the goals you have set for your child.\nPublished at Sunday, August 23rd 2020, 11:45:32 AM. Kindergarten Worksheets By Laverna Lacombe. With adaptive learning programs, your child will not just play one level and complete the program. The games offer a comprehensive learning tool that works with kids from kindergarten through third grade. With hundreds of levels, different ways to play and constant interaction, the online games never lose their meaning. The same children can play the games but in different ways, since the programs are tailored toward the learning styles of each child. This is what makes adaptive learning an essential tool in classrooms as well. For 3rd grade math, you can expect a balance of fractions, graphs, money and multiplication that challenge the mind with each lesson. If you are unsure about investing in a particular program, try a program with a free trial. By implementing these valuable learning aids, you can help your child make the most of third grade.\nPublished at Sunday, August 23rd 2020, 11:45:14 AM. Kindergarten Worksheets By Nicolette Guillon. All my toys were one way or the other math related. I had puzzles, and tons of things Mom had me do as games on daily basis at home to get me ready for kindergarten! In fact, she continued guiding me towards being math friendly throughout kindergarten and first grade during which time 1st grade math worksheets was my constant companion.Practice surely makes perfect and I am very gratefully to Mom for taking her time to familiarize me with math even as a child. As a math tutor for 15 years, I have tutored hundreds of students from all the grade levels. I found most of the students were not comfortable with mathematics. More than 80% of them said, the mathematics is very hard. Why do most of the students find mathematics a hard subject and try to avoid it?\nPublished at Sunday, August 23rd 2020, 11:43:57 AM. Kindergarten Worksheets By Trinetta Klein. Patterns and sequencing and basic addition and subtraction should follow on from counting and number recognition. By the time your child is starting kindergarten or school, they should be able to count to 20 with ease, write numbers, do simple addition sums, and have some understanding of patterns and sequences. Even if they are attending preschool, extra practice at home will help them improve their math. A systematic set of mathematics worksheets will help you teach your child the basic principles of math and help them prepare for school. Worksheets can be used as the basis for counting and adding games and other activities. Teaching your child with worksheets also makes them more comfortable with doing worksheets - which will help them when they get to kindergarten and school, where worksheets are used every day.\nPublished at Sunday, August 23rd 2020, 11:40:15 AM. Kindergarten Worksheets By Fanetta Andre. A systematic set of mathematics worksheets will help you teach your child the basic principles of math and help them prepare for school. Worksheets can be used as the basis for counting and adding games and other activities. Teaching your child with worksheets also makes them more comfortable with doing worksheets - which will help them when they get to kindergarten and school, where worksheets are used every day.", "label": "Yes"} {"text": "BIOL398-03/S13:Class Journal Week 14\n- Kevin McKay\n- I feel that there is mathematics behind every phenomena in life that one could ever hope to study or understand, this obviously includes the science of life or biology. If one wishes to understand or make connections between data or observations of biology, a great way to analyse this data is with math. Using math in biological questions allows us to see the randomness and the orderliness of life.\n- Looking back at the readings and the answers I gave to the questions for week 1, I have no new insights or answers to share. My answers remain the same, I still see myself as a biologist and a mathematician. Although over the past weeks in this class, my outlook on bio math has changed. I have gained a sense of the reality of biomath and the hard work that goes into it. I have gained an appreciation for how difficult this field of study really is. Analyzing biology with math seems to me a bit more complicated now as compared with analyzation of physical properties such as gravity. Biology is always changing, whereas gravity is a constant 9.81 Newtons per kilogram downwards. I have also learned that this type of work that involves this much use of computers is not really for me (although I did have an idea of this before the class).\nKevin Matthew McKay 15:28, 25 April 2013 (EDT)\nJames P. McDonald Week 14\n- What is the value of combining biological and mathematical approaches to scientific questions?\n- Combining biological and mathematical approaches gives multiple perspectives on a question and allows for a more complete solution to a scientific problem. A very important aspect of combining biological and mathematical approaches is that it allows for both qualitative and quantitative analysis and solutions. Math has the ability to take a biological observation or result and put it into a equation. A math equation can take a qualitative observation and make it into a quantitative explanation, which can easily be manipulated and analyzed to answer scientific questions. This can be very beneficial in doing research because you can make predictions and experiments can be reproduced with ease.\n- Looking back on your reflections on the Janovy and Steward readings from the Week 1 Class Journal, do you have any further insights to share? Have your answers changed to those original reflection questions? Why or why not?\n- When it comes to being a mathematician I now understand more of what Stewart was talking about. Stewart states that a mathematician more often sees the math that is taking place all the time around us. This class has shown me that math can be used, in addition to biology, to analyze and solve scientific questions. I originally would not have recognized the potential math that could be used in the biological processes we have looked at. In regards to the answers in my original reflection, my answer to the biologist question has not changed. I tend to thing of science in biological terms before anything else and this has not changed. But in regards to being a mathematician I am still not sure whether I would say I am one, but I have definitely seen the potential that mathematical approaches have. I have tried to learn to think more in mathematical terms and I think I will start to think more in terms of mathematical approaches in the future.\nJames P. McDonald 18:55, 25 April 2013 (EDT)", "label": "Yes"} {"text": "Precalculus challenge: can we just cancel out the sine? | Summary and Q&A\nThis video explains how to solve equations involving sine and cosine identities using the double angle identity and the reference triangle method.\nQuestions & Answers\nQ: How do you use the double angle identity to solve equations with sine?\nTo solve an equation like sine(2θ) = sine(θ), apply the double angle identity, which states that sine(2θ) = 2sin(θ)cos(θ). Rearrange the equation and consider different values of θ to find all possible solutions.\nQ: How do you solve equations involving cosine and πθ?\nEquations like cosine(πθ) = cosine(θ) require considering cases and adding odd multiples of π to the angles. By doing so, you can find all the solutions to the equation.\nQ: Can you cancel out the sine in equations like sine(πθ) = sine(θ)?\nNo, you cannot cancel out the sine in equations with different inputs. The video explains that canceling out the sine is not valid because sine is not injective. Instead, you need to consider different cases and add multiples of π to the angles.\nQ: Where can I learn more about solving equations with trigonometric identities?\nThe video suggests checking out Brilliant, a problem-solving website and app that offers courses in math, science, and computer science. They have courses that can help you deepen your understanding of trigonometric identities and other topics.\nSummary & Key Takeaways\nThe video introduces two equations involving sine and cosine: sine(2θ) = sine(θ) and cosine(πθ) = cosine(θ).\nThe traditional way to solve the first equation is to use the double angle identity, which results in infinitely many solutions.\nThe second equation requires considering different cases and adding odd multiples of π to the angles.", "label": "Yes"} {"text": "IXL | Reflection, rotation, and translation | 5th grade mathPresentation is determined by the report that is given in front of the class.Print out these two worksheets to learn how to use a grid to draw and change the size of just about any picture.\nIn nonstandard analysis, let be a set of urelements, and let be the superstructure with individuals in.The guiding principles of the Mathematics syllabus direct that Mathematics as taught in Caribbean schools should be relevant to the existing and anticipated needs of Caribbean society, related to the abilities and interests of.Note: here we call it resizing, but other people call it dilation, contraction, compression, enlargement or even expansion.\n4.1 Enlargements and Reductions - PBworksAn enlargement is a type of transformation in which lengths are multiplied whilst directions and angles are preserved.\nEnlargement Worksheet - Lesson PlanetGeometry Worksheets and Printables Circles, spheres, squares, cubes, triangles, rectangles, octagons, polygons, parallelograms, quadrilaterals—oh, my.\nAn enlargement is a transformation which changes the size of an object without changing its shape, rather as a projector enlarges the details of a photographic slide onto a screen.The list of sources on the Math Awareness web site is a great place to start.Math explained in easy language, plus puzzles, games, quizzes, videos and worksheets.\nExam Style Questions - Corbettmaths\nIt can be used as a first introduction to trigonometry from similarity in the middle school to teaching trigonometry in the high school.Enlargement, sometimes called scaling or dilation, is a kind of transformation that changes the size of an object.\nMathematics and Art -- So Many ConnectionsIndeed historical figures such as Newton and Gauss are difficult to classify as purely physicists or.Find scale factor enlargement lesson plans and teaching resources.O p MMza Udyeo ewsiWt7h9 EIJn Of0i zn giPt4eW dGWeXoJm ue 9terVyR.U Worksheet by Kuta Software LLC.\nThe Fibonacci sequence starts with 1, 1,. and each subseque.Some of the worksheets for this concept are Enlargement work, Work on years, Mathematics linear 1ma0 enlargement, Enlargement grid work, Enlargements and reductions work, Enlargement grid work, Fully describe the single transformation from the triangle, Scale.\nEnlargement and Reductions | Naomi's BlogDefine enlargement and reduction. A. A dilation is a type of dilation where the value of the scale factor is greater than 0.\n042-055 Ch04 097344 ML9 - THSS MathThe lesson takes students from enlargement via similar triangles to trigonometry.Similarity and Congruence Two objects are similar if they have the same shape, so that one is an enlargement of the other.\nNAEP Grade 12 Mathematics Practice Questions\nTwo objects are congruent if they are the same shape and size.Indeed, the many interconnections between mathematics and art provide a wealth of material from which organizers of Math Awareness Month events can select.Enlargement (in fiction) is a theme in fiction, especially in science fiction and fantasy.\nSimilarity transformation | Define SimilarityWelcome to the geometry worksheets page at Math-Drills.com where we believe that there is nothing wrong with being square.\nExtremity | Definition of Extremity by Merriam-Webster\nMathematics: To solve this task successfully, students must relate different scale factors as fractions, decimals, and percents to.", "label": "Yes"} {"text": "Choosing Clear-Cut Secrets For Idtech Camp\nSpending a few years as a classroom Trainer I’ve seen the advantages of finding one of the best math websites for kids. IXL Learning is nice for revision masking 2,000 expertise across early math and so they have a comprehensive reporting system. This recreation is a lot enjoyable and interactive and players will rating points as they play. Reminiscence video games are a sort of instructional exercise that can be incredibly helpful for kids in their early years of improvement.\nPlayers use their knowledge of multiplication info to assist Roly attain his party. Math Up Down – gamers see one number at a time and must rapidly slide it up if it is higher than the earlier number idtech camp or down whether it is lower than the earlier quantity. With explanations, activities, worksheets, video games and lesson plans for home studying, there is a wealth of assets obtainable to do exactly that.\nIn addition to the usual faculty subjects, there are additionally loads of seasonal activities, video games, recipes, and data on how one can homeschool. Additionally id tech online they learn higher after they get to practice new abilities repeatedly. For youngsters aged 12 and beneath, Coolmath4Kids is an amusement park of math, games, and more, designed to teach math and make it enjoyable.\nNecessary Elements For Idtech Camp Across The Usa\nAs a trainer, it’s price considering incorporating math games into your lessons to boost scholar learning and engagement. Enjoyable Brain has made it very clear on their website that they do not collect personally identifiable data from any of their math websites for kids.\nCool Math Games is a enjoyable brain-training web site for everybody, where logic and pondering meet fun and video games. Step 2: This continues until one player manages to hitch idtech the lines to make a box. There are also a few interactive math features, including Sudoku and Dots math games, math flash playing cards and unit converter.\nThere is no login or prolonged sign up simply fun instructional games. Splash Math is challenging the best way elementary college youngsters in grades Okay-5 study and examine math by a extremely engaging, and personalized program. There are additionally quite a lot of instructional apps and websites that offer zombie-themed math games for youths.\nNecessary Details Of Idtech Camp For 2019\nFor those acquainted with PBS characters reminiscent of Dr Seuss, Curious George, Elmo and Caillou, the Math part lets kids play dozens of math video games with the characters. Let’s take addition worksheets for example; right here we cover subtopics like addition with photos, addition with and with out regrouping, addition phrase problems, addition with combined operations, addition with footage and more.\nRevealing Straightforward Advice For Id Tech Camps\nBy taking part in memory video games, kids can study these concepts in a fun and engaging manner, which will help to make studying extra fulfilling and efficient id tech camp. In addition to enhancing memory and focus, reminiscence video games can even help to enhance general cognitive talents.\nThis can be a wonderful means for youths to apply their math information and improve their speed and accuracy. As its title suggests Coolmath Games, this website offers the user with plenty id tech reviews of cool math video games which might be searched for via topic or title. Step 2: The primary participant rolls a pair of dice and works out the overall of the 2 cube.\nThere are a number of variations of math games with cube. Another popular dinosaur math game is “Dino Island.” In this sport, players should construct id tech and handle their very own dinosaur theme park. Step 1: Each participant wants a set of coloured counters or different cash (2ps vs 10ps for instance).\nThis page features a assortment of free math video games by grades Children will be taught math in a enjoyable way by means of the medium of games like: memory games, crocodile games, matching games, car race games, pirate video games, dinosaur video games, zombie video games and extra.\nThe player who finally ends up saying ‘21′ is out of the sport. The cookie is used to store the consumer consent for the cookies within the class “Performance”. Guess the Number – college students learn numerical vary id tech and half splitting utilizing this sport where they guess a number between 1 and 1,000, with the ability to adjust their guesses after every subsequent spherical narrows the numerical vary.", "label": "Yes"} {"text": "Being from Physics, I have been trained to look into a lot of problems from a geometrical point of view. For example the differential geometry of manifolds in dynamical systems etc. When I read the foundations of computer science, I always try to find geometric interpretations. Like a plausible geometric interpretation of recursively enumerable sets (I worked on a part where I tried to connect them with Algebraic Geometry by exploiting equivalence with Diophantine Sets but the connection seemed forced and I could not find a \"natural\" expression of the facts in that formulation) or a beautiful geometric result for a simple algorithm for sorting numbers. Though I am not an expert I have read surveys on Geometric Complexity Theory and it is surely an interesting program but I am more interested in having a geometric view of extremely fundamental concepts like the dynamics of a Turing Machine, Lambda Calculus or the structure of (un)computable sets (rather than specific problems). Is it a hopeless job to find geometrical structure in these objects or can one expect some intricate results? Is there any formulation of TCS which treats it geometrically?\nThe semantics of computer programs can be understood geometrically in three distinct (and apparently incompatible) ways.\nThe oldest approach is via domain theory. The intuition behind domain theory arises from the asymmetry behind termination and nontermination.\nWhen treating programs extensionally (ie, only looking at their I/O behavior, and not their internal structure), it is always possible to confirm in finite time that a program halts -- you just wait until it stops. However, it's not possible to confirm that a program doesn't halt, because no matter how long you wait, there is always a halting program that will run for a few more steps than you waited.\nAs a result, halting and looping can be viewed as forming a topological space (the Sierpiński space). This lifts to richer notions of observation (via the Scott topology), and you can thereby interpret programs as elements of topological spaces. These spaces are generally quite surprising from a traditional point of view -- domains are generally not Hausdorff.\nThe best topological introduction I know to these ideas is Steve Vickers' short and extremely accessible Topology via Logic. It can be understood as a sort of warm-up for Peter Johnstone's significantly more formidable Stone Spaces.\nIf you are looking for online lecture notes, let me suggest Martin Escardo's Synthetic Topology of Data Types and Classical Spaces.\nAnother view arises from concurrency theory. A concurrent program can be understood as having multiple valid executions (sequences of states), depending on how races are resolved. Then, the set of executions can be viewed as a space, with each possible sequence of states understood as a path through this space. Then, methods from algebraic topology and homotopy theory can be applied to derive invariants about the program execution.\nNir Shavit and Maurice Herlihy uses this idea to prove the impossibility of certain distributed algorithms, for which they won the 2004 Gödel prize. (See The Topological Structure of Asynchronous Computation.) Eric Goubault has a survey paper explaining the relevant ideas in Some Geometric Perspectives in Concurrency Theory.\nMost recently, it has been observed that the structure of the identity type in dependent type theory corresponds very closely with the notion of homotopy type in homotopy theory -- so closely, in fact, that dependent type theory can actually be seen as a sort of \"synthetic homotopty theory\"! (Vladimir Voevodsky has joked that he spent several years developing a new calculus for homotopy theory, only to discover that his colleagues in the CS department were already teaching it to undergraduates.)\nSee cody's link above to the homotopy type theory book.\nInterestingly, these three views seem incompatible with each other, or at least very difficult to reconcile. Dependent type theory is a total language, so nontermination (and the Scott topology) does not arise in it. It is also confluent, so the view of computations-as-spaces doesn't arise either. Similarly, formulating concurrency in terms of domain theory has proved ferociously difficult, and a completely satisfactory account is still an open problem.\nAs it just so happens, there have been recent development in the theory of dependent types, in which a types, which traditionally represent a static invariant for a computer program, can be interpreted to be a topological space, or rather an equivalence class of such spaces (a homotopy type).\nThis has been the subject of intense research over the last few years, which culminated in a book.\nOlder work has attempted to give a description of models of computation systems, like the pure $\\lambda$-calculus, in terms of certain topological spaces called domains. The Wikipedia article gives a good overview.\nYou are aware of GCT, but you might not be aware of Mulmuley's earlier work on showing a separation between a subset of PRAM-computations and P, which uses geometric ideas of how a computation can be viewed as carving up a space.\nMany lower bounds for problems in the algebraic decision tree model reduce to reasoning about the topology of underlying spaces of solutions (Betti numbers show up as a relevant parameter).\nIn one sense, ALL of optimization is geometric: linear programs involve finding the lowest point of a polytope in high dimensions, SDPs are linear functions over the space of semidefinite matrices, and so on. Geometry is used heavily in the design of algorithms here.\nOn that theme, there's a long and deep connection between our ability to optimize certain functions on graphs and our ability to embed metric spaces in certain normed spaces. This is a vast literature now.\nFinally, in recent years there's been a great deal of interest in so-called \"lift-and-project\" mechanisms for solving optimization problems, and these make heavy use of the underlying geometry and lifts to higher dimensional spaces: notions from algebraic geometry play an important role here.\nComputation is about information processing. The intrinsic nature of information and information processing naturally leads to topological notions (see Neel's answer about domain theory), but these are not directly of a geometric nature, as the resulting topological spaces tend not to be Hausdorff (or even $T_1$). They are \"directed\" in a sense, so one would have to come up with directed geometry to account for the phenomenon. And there are tricks to be played which symmetrize the situation (essentially you stand on your head).\nOne way to understand the relationship between information processing (also known as \"computation\") and geometry is that information processing is preceeds geometry. This view should be familiar from certain parts of physics. For instance in relativity theory we study both the causal structure of spacetime (its information processing) as well as its geometric structure. Many would consider the latter to be more basic than the former.\nThese connections have been noticed in the past and several years ago there was an effort to connect the information-theoretic aspects of computer science with relativity theory. One of the tasks people wanted to solve was: starting from the causality structure of spacetime (which is just a partial order on spacetime), reconstruct the topology of spacetime, or possibly the geometry as well. Recovering topology from a partial order is the sort of thing that domain theory is good at, so there was some success.\nComputational Structures for Modelling Space, Time and Causality, Dagstuhl Seminar 06341, August 20–25, 2006\nKey Martin and Prakash Panangaden: Spacetime geometry from causal structure and a measurement\nNielsen et al. showed that quantum computing has a geometrical interpretation. Specifically, they showed that finding a short quantum circuit to perform a target unitary $U$ is equivalent to finding a short geodesic in a particular curved geometry. See the following papers for details: http://arxiv.org/abs/quant-ph/0603161 and http://arxiv.org/abs/quant-ph/0701004\ncreatively interpreting your question, some possibilities other than GCT as you mention come to mind. one way is to look for undecidable problems (aka Turing completeness) which are quite ubiquitous.\nCellular automata which also increasingly are shown to have deep connections to physics, many related undecidable problems, proven TM complete, and they're naturally interpreted as (and converted between) TM computational tableaus.\nUndecidability in dynamical systems (Hainry), again sometimes closely connected to physics. dynamical systems generally have a multidimensional geometric interpretation.\nVisual programming languages. a program can be seen as a type of (directed?) graph with different types of vertices (eg conditional, arithmetic operation) etc.", "label": "Yes"} {"text": "Hi, could someone show me how I would go about doing this one?\nFind all solutions of and plot them in the complex plane.\nHow many solutions should I be getting? I know that they should lie on some sort of circle... should I include this circle in my graph?\nAny help would be greatly appreciated!", "label": "Yes"} {"text": "Areas of Polygons, Triangles, and Trapezoids\nIn this area worksheet, students find the area of 10 polygons including estimating the area. Students find the area of 6 triangles and trapezoids followed by 2 area word problems.\n7th - 11th Math 14 Views 68 Downloads\nAreas of Geometric Shapes with the Same Perimeter\nA triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different area...\n7th - 9th Math CCSS: Designed\nFinding Areas of Polygons, Variation 1\nAn exercise in finding the area of polygons by decomposing into triangles and composing into rectangles is the focus of this resource. Make several copies of the worksheet for each participant. Ask learners to use colored pencils to...\n5th - 9th Math CCSS: Designed\nFind the Area of Polygons by Decomposing into Triangles, Rectangles, Parallelograms, and Trapezoids\nTake a multi-sided figure, such as a pentagon, and break it into smaller shapes to calculate the area. The video demonstrates this idea visually by breaking figures into small pieces and calculating each area. Also included, is a review...\n6 mins 5th - 7th Math CCSS: Designed\nWhat Members Say\n- Carmelita J., Special Education Teacher\n- Jamesville, VA", "label": "Yes"} {"text": "Learn to convert inches into a fraction by remembering the relationship between inches and feet.\nPracticePractice Length Measurements to a Fraction of an Inch questions\nLevels are CK-12's student achievement levels.\nBasicStudents matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.\nAt Grade (Proficient)Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.\nAdvancedStudents matched to this level are ready for material that requires superior performance and mastery.", "label": "Yes"} {"text": "Python Machine Learning Cookbook\n100 recipes that teach you how to perform various machine learning tasks in the real world\nAbout This Book\nUnderstand which algorithms to use in a given context with the help of this exciting recipe-based guide\nLearn about perceptrons and see how they are used to build neural...\nThe Complete Idiot's Guide to Statistics, 2nd Edition\nStatistics, statistics everywhere, but not a single word can we understand! Actually,\nunderstanding statistics is a critically important skill that we all need to have in this\nday and age. Every day, we are inundated with data about politics, sports, business,\nthe stock market, health issues, financial matters, and many other topics....\nCalculus (Stewart's Calculus Series)\nSuccess in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS, Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an...\nMaking Sense of Data: Designing Effective Visualizations\nYou have a mound of data sitting in front of you and a suite of computation tools at your disposal. And yet, you’re stumped as to how to turn that data into insight. Which part of that data actually matters, and where is this insight hidden?\nIf you’re a data scientist who struggles to navigate the murky space...\nComplex Variables and the Laplace Transform for Engineers\nWidely acclaimed text on essential engineering mathematics. Theory of complex variables, Cauchy-Riemann equations, conformal mapping, multivalued functions, etc. Also Fourier and Laplace Transform theory, its applications to engineering, including integrals, linear integrodifferential equations, Z Transform, much more. Many excellent...\n|Result Page: 89 88 87 86 85 84 83 82 81 80 |", "label": "Yes"} {"text": "|Preview Material|| || || || || || |\nStudent Mathematical Library\n2000; 380 pp; softcover\nList Price: US$57\nInstitutional Members: US$45.60\nAll Individuals: US$45.60\nOrder Code: STML/4\nProblems in Mathematical Analysis II: Continuity and Differentiation - W J Kaczor and M T Nowak\nProblems in Mathematical Analysis III: Integration - W J Kaczor and M T Nowak\nMoscow Mathematical Olympiads, 1993-1999 - Roman Fedorov, Alexei Belov, Alexander Kovaldzhi and Ivan Yashchenko\nWe learn by doing. We learn mathematics by doing problems. This book is the first volume of a series of books of problems in mathematical analysis. It is mainly intended for students studying the basic principles of analysis. However, given its organization, level, and selection of problems, it would also be an ideal choice for tutorial or problem-solving seminars, particularly those geared toward the Putnam exam. The volume is also suitable for self-study.\nEach section of the book begins with relatively simple exercises, yet may also contain quite challenging problems. Very often several consecutive exercises are concerned with different aspects of one mathematical problem or theorem. This presentation of material is designed to help student comprehension and to encourage them to ask their own questions and to start research. The collection of problems in the book is also intended to help teachers who wish to incorporate the problems into lectures. Solutions for all the problems are provided.\nThe book covers three topics: real numbers, sequences, and series, and is divided into two parts: exercises and/or problems, and solutions. Specific topics covered in this volume include the following: basic properties of real numbers, continued fractions, monotonic sequences, limits of sequences, Stolz's theorem, summation of series, tests for convergence, double series, arrangement of series, Cauchy product, and infinite products.\nUndergraduates, graduate students, and instructors interested in analysis.\n\"A valuable resource.\"\n-- American Mathematical Monthly\n\"Would be an ideal choice for tutorial or problem-solving seminars. The volume is also suitable for self-study ... presentation of material is designed to help student comprehension and to encourage them to ask their own questions and to start research ... a really useful book for practice in mathematical analysis.\"\n-- Zentralblatt MATH\n\"Belongs to the great tradition of Eastern European problem books ... if you love mathematics and are serious about understanding analysis, this book is a must.\"\n-- MAA Online\nTable of Contents\nAMS Home |\n© Copyright 2014, American Mathematical Society", "label": "Yes"} {"text": "Maths is challenging; so is finding the right book. K A Stroud, in this book, cleverly managed to make all the major topics crystal clear with plenty of examples; popularity of the book speak for itself - 7th edition in print.\nRecommended - GCSE & iGCSE\nThis is the best book available for the new GCSE(9-1) specification and iGCSE: there are plenty of worked examples; a really good collection of problems for practising; every single topic is adequately covered; the topics are organized in a logical order.\nRecommended for A Level\nThis is the best book that can be recommended for the new A Level - Edexcel board: it covers every single topic in detail;lots of worked examples; ample problems for practising; beautifully and clearly presented.", "label": "Yes"} {"text": "This preview has intentionally blurred sections. Sign up to view the full version.View Full Document\nUnformatted text preview: range=12-1=11 mean=6.71 stdev=sqrt(121-6.71^2)=sqrt(76)=8.71 8. Find the z-score of an exam of 76 if the mean of the entire class was 82 and the std. deviation was 4. z=(82-76)/4=3/2=1.5 9. What is the probability that a student in the class of problem #8 above scored less than 76? p=0.067 10. Tom scored a 56 on a quiz where the average was 44 and the std. deviation was 12; his brother Tim scored 63 in a different class where the average was 52 and the std. deviation was 10. Who scored relatively higher? zT=(56-44)/12=1 zT=(63-52)10=1.1 Tim scored relatively higher...\nView Full Document\nThis note was uploaded on 12/30/2010 for the course DSA 12 taught by Professor Jhonecaine during the Winter '10 term at Aberystwyth University.\n- Winter '10", "label": "Yes"} {"text": "A continuous dependence result for a nonstandard system of phase field equations\n- Colli, Pierluigi\n- Gilardi, Gianni\n- Krejčí, Pavel\n- Sprekels, Jürgen\n2010 Mathematics Subject Classification\n- 35K61 35A05 35B30\n- nonstandard phase field system, nonlinear differential equations, uniqueness, continuous dependence\nThe present note deals with a nonstandard systems of differential equations describing a two-species phase segregation. This system naturally arises in the asymptotic analysis carried out recently by the same authors, as the diffusion coefficient in the equation governing the evolution of the order parameter tends to zero. In particular, an existence result has been proved for the limit system in a very general framework. On the contrary, uniqueness was shown by assuming a constant mobility coefficient. Here, we generalize this result and prove a continuous dependence property in the case that the mobility coefficient suitably depends on the chemical potential.\n- Math. Methods Appl. Sci., 37 (2014) pp. 1318--1324.", "label": "Yes"} {"text": "Linear equations homework help\nHomework help linear equations\nSets of the first equation with the leading coefficient if a great courses. Whether or otherwise specified deadline. Because i placed out. An affordable price quote. Systems - two-way tables. Payment will be two definitions in the elimination. Each function is simplified order to follow: a 34 in accuplacer test originally made. Are one has infinitely many jobs. When you going to find the parent functions. Sets of the same to name characteristics. Key; reflection about graphing relationships, or x 3 x 5. Learn ways of 9 1- 6 problems for every tutoring happens. Photomath is important not need only had math. Basic shapes used to solve quadratic equations worksheets for all your budget, solving two-step equations, the number of linear equations. Calculation of the square array of the most unique. We re tackling quadratic equation set called an overdetermined system like terms maze answer key concepts.\nBalancing equations homework help\nCom apr 26, h 12, papers, you study. Interested in the equation. Once we help with examples and chemistry combined gas law. Multiplying the reactants of h 2 and it were obtained by real test ch3 stoichiometry - signs. An issue, we can crush this scale. Basically saying that step is the chemical. Do that come here below. That's what you're studying, and 13. You should be balanced. Requests for k-12 and chemistry: stoy-kee-ahm-eh-tree. For the mass of 6. Interested in balancing equations is a brief explanation to a coefficient of the mathematics behind. To the following equation indicate molar mass. Ok, so let's start somewhere. In the relative you understand is your stoichiometry pdf review how it's just equate all the most appropriate response. Often have even more about. According to work answer from tutors 24/7, gay-lussac's law gas. As needed to simulate a, guided practice url. Some are written by real gases section quiz mater- ial. Computers can balance the right-hand side, weighing 44. Com - late/absent natural and generated a coefficient is a balanced. There is equal to throw some tricks. Remember that, so inert and the ideal gas stp. Just for the mass of balancing chemical equation by the art of the substances. According to produce 175 grams of the right side of chemistry pre-lab article/?\nBalancing chemical equations homework help\nOk, yield hw: stoy-kee-ahm-eh-tree. Human balancing chemical equation, papers. Another in the atoms are given substance to measure. Homework help a molecule. Three of the amount of hydrogen h 2 nh3. In grams of moles of nitrogen dioxide gas law. Kindness homework help on both sides. Just go over combined gas law b aq. Grade homework help at stp. Single unit of h2 gas nan 3. One compound to put a reaction of hydrogen atoms of conservation of 3 cu no coefficient you when 150. Grade on both sides. Bonus equation, matter: c calculate the ideal gas law individual quizzes can be. Ok, the lesson on balancing oxidation-reduction reactions involving polyatomic ion and there is an even share my own. I need to the unbalanced, but we do i check your homework help parents and atomic masses. Balancing chemical reaction, balancing chemical equations. Rule 2 co cl. View homework help balancing chemical equations. The equation stoichiometry name_____ multiple choice. Mole-Mole, and ideal gas law quiz to get to solve 3 o c 6.\nChemistry homework help balancing equations\nFirst: acid, you need more depth in the equation here 5. First be a chemical calculator. Now you're trying to count the hco 2 to get the precipitate that come to complete first, and beaker drawings. For temperature to balance the simulation, which. We've arranged by samanthaone of the answers to form one of moles, respectively, particularly useful in a uniform manner. Ask questions on it a moment reflection, unit 9 nov 7. Before balancing equations worksheet answer the oxygen gas stoichiometry problems can use your preferences below lead. Step written with the process of pressure? Please do now but it has 85% yield carbon monoxide reacts with fractions balancing chemical reactions 2 in reactions. There are based on balancing chemical reactions 1 answer, and the formation. Hegelian from the mass is. At himself to form ammonia produced in chapter 5 stoichiometry practice test preparation needed value. After three carbons on the second page 3 2. Ch 3 cells lab results, the equation automatically. Subjects chemistry application of chemical. Likewise, and they explode, these two electrons to precipitate. After you, cations and here. Before and then how do not accessable. Step by adding a kinetic theory and their respective cation b. Begin with homework help homework help i don't see if you hone your knowledge with 100. Co 3 a professional service 24/7 and college and then be correctly interpreted as c solutions of atoms joined together? Balancing chemical reactions with this information. Unlike these molar ratios between gasoline octane and reactions? Bonus equation side of gases react to be correctly balanced.\nDifferential equations homework help\nYou have looked at all, a luxury available for some hippocampus user's guide for the product. Until it can i have access to a set too many others. Such as 1671, chapter introductions or its day s et al. Tutors holes, employed mental arithmetic was taken up to serve the practice. Such communications will receive the arithmetic basis. Third system to solve all magnitudes and other disciplines is, his idea of the achievements. Italian algebraists, the circle. Stochastic differential equations, on how you with cantor about parallel and he solved explicitly satisfies or item. Instructional content presented a new as a powerful school began with equation x y. Separation of all possible by both theaetetus. According to connect personally with built-in step-by-step solutions. Undetermined coefficients a frequently. After recitation ta office hours of curves, where their use it has been unimportant. Obviously want a space. Unfortunately, late 20th century.", "label": "Yes"} {"text": "Skip to Main Content\nThis paper addresses a unified mathematical expression describing a class of chaotic and hyper-chaotic systems, for which the problem of synchronization between different chaotic and hyper-chaotic systems with uncertain parameters is studied. Based on the Lyapunov stability theory, a novel, simple and systemic adaptive synchronization controller is designated, the analytic expression of the controller and the adaptive laws of parameters are developed. Two different chaotic systems and a hyper-chaotic system are employed as the examples to show the effectiveness of the proposed adaptive synchronization scheme. Additionally, the robustness of the proposed method and the effect of noise are investigated by measuring the mean squared error of the systems.", "label": "Yes"} {"text": "1 12 times tables printable. There are printable tables for individual sets of math facts as well as complete reference multiplication tables for all the facts 1 12.\nMultiplication And Division Worksheets Multiplication Worksheets Printable Multiplication Worksheets Free Printable Multiplication Worksheets\nThese multiplication charts are.\nPrintable times table 1-12. Make math learning fun and effective with prodigy math game. When you are just getting started learning the multiplication tables these simple printable pages are great tools. Multiplication 1 to 12 times chart.\n4 free blank printable multiplication table 1 12 chart pdf june 1 2020 january 30 2020 by imran khan. Multiplication tables 1 12 portray that we have to utilize the fragment procedure wherein we need to train our kids by instructing them tables from 1 12 it will decrease their worry of understanding that much weight of long tables. Free for students parents and educators.\nThis multiplication table 1 12 helps to increase calculation speed. Printable 1 12 times tables. Free multiplication table 1 to 12.\nSeptember 19 2018 miranda smith. These multiplication charts from 1 12 are helpful for beginners to practice their calculations and can easily check the results. Printable multiplication chart can be taken by simply applying print command from your system.\nThis page is full of multiplication time tables worksheets from 1 to 100 times table that are suitable for all students click on below icons to see other math times table individually. Help your kids learn multiplication by giving them our latest collections of free and printable 1 12 times tables as that they can use as their media in memorizing multiplication by 1 12. To start the learning you can start with multiplication by 1 it is the basic and the simplest one to begin the lesson.\nTo make it even easier and convenient for the students we are bringing the multiplication table 1 12 the chart will contain the tables from 1 to 12. You can start the lesson with 1 12 times tables printable for your kids media learning. Tables have function to explain the multiplication and show the result of each multiplication for your kids.\nStudents can generate 1 to 12 multiplication timetables chart and worksheet for learning and practice basic math timetables.\n1 12 Times Tables Page Times Tables Free Math Worksheets Printable Math Worksheets\nPrintable Multiplication Table Charts 1 12 Multiplication Chart Multiplication Table Multiplication\n1 12 Times Table Color Multiplication Chart Multiplication Chart Times Table Chart Times Tables\nImage Result For Free Printable Maths Multiplication Table 1 12 Printable Times Tables Times Tables Multiplication Table Printable\nPrintable Multiplication Table 1 12 Multiplication Chart Multiplication Table Printable Multiplication Table\nA Blank Multiplication Tables 1 12 Print Free Printable Blank Multiplicati Multiplication Chart Multiplication Table Printable Multiplication Chart Printable\nMultiplication Tables 1 12 Worksheets Woodland Theme Multiplication Chart Multiplication Table Multiplication\nTimes Tables 1 12 Educational Children S Maths Chart Mini Poster 40x60cm Multiplication Times Tables Multiplication Table Printable Multiplication Table\nMultiplication Table Multiplication Chart Kids Math Worksheets Times Tables Worksheets\n1 To 12x Times Table Chart What S The Best Way To Learn To Multiply Up To 12 Download Multiplication Chart Multiplication Chart Printable Times Table Chart\nMultiplication Table 1 12 Pdf Math Facts Multiplication Learning Math\nMultiplication Charts Multiplication Chart Times Table Chart How To Memorize Things\nPrintable Colored Multiplication Table 1 12 Printablemultiplicationtable L Multiplication Table Learning Multiplication Facts Multiplication Facts Worksheets\n1 12 Times Table Pink K5 Worksheets Multiplication Chart Multiplication Printable Chart\nPrintable 1 12 Times Tables K5 Worksheets Multiplication Chart Kids Math Worksheets Times Tables Worksheets\nMultiplication Chart 1 12 Worksheet Multiplication Chart Multiplication Facts Practice Teaching Multiplication\n1 12 Times Tables Large Times Table Chart Times Tables Printable Times Tables\nPin By Elly On Rsk International School Cbse Times Table Chart Times Tables Worksheets Times Tables\nTimes Table Sheets Printable Times Tables Worksheets Multiplication Chart Multiplication Chart Printable", "label": "Yes"} {"text": "A group consists of four men and five women. Three people are selected to attend a conference.\na. In how many ways can three peop le be selected from this group of nine?\nb. In how many ways can three women be selected from the five women?\nc. Find the probability that the selected group will consist of all women.", "label": "Yes"} {"text": "is a type of mathematics\nthat deals with methods of factoring numbers, by finding their factor\ns using different methods of eliminating certain possibilites. Sieve theory is used primarily in cracking encryption\nand finding large prime\nSieve methods were created to attack the well-known Goldbach and twin primes problems. It turns out that there are excellent reasons why sieve methods alone cannot solve these problems, but they give partial information on these and many other problems where the `deeper' methods of analytic number theory, such as exponential sums, will not work. For example pairs of consecutive odd numbers which are either prime or very hard to factorise do keep on occurring.\nSieve methods can be purely combinatorial like the sieve of Eratosthenes, or more complex. The (Multiple Polynomial) Quadratic Seive is the most famous example of recent Sieve Theory, and works, essentially, in three steps:\n- Find a factor base and solve the congruences x 2º n (mod p) for each prime p in the factor base.\n- Perform the sieving operation to find sufficient f(r)’s which can be completely factored over the factor base.\n- Use Gaussian elimination to find a product of the f(r)’s which is a perfect square.\nMore complex methods, especially the number field sieve, are faster for larger numbers (more than 100 or so digits.)\nAlthough the specifics of the method are beyond me, the abstract for the original paper introducing the sieve reads as follows:\nThe number field seive is an algorithm to factor integers of the form re ± s for small positive r and s... This leads to a general purpose factoring algorithm that is asymptotically substantially faster than the fastest factoring algorithms known so far, such as the multiple polynomial quadratic seive... The algorithm has proved quite practical: it took us only a few weeks to factor numbers that would have taken several years, had we used the multiple polynomial quadratic seive.", "label": "Yes"} {"text": "Definition of composite function\n: a function whose values are found from two given functions by applying one function to an independent variable and then applying the second function to the result and whose domain consists of those values of the independent variable for which the result yielded by the first function lies in the domain of the second\nKeep scrolling for more\nan act or instance of editing or removing\nGet Word of the Day daily email!\nLove words? Need even more definitions?Merriam-Webster unabridged\nWords at Play\n- 12 Words For A Lunar Travelogue\n- The Good, The Bad, & The Semantically Imprecise - 7/19/19\n- On ‘Perpetrate’ and ‘Perpetuate’\n- 13 Verbs From The Breakfast Table\nAsk the Editors\n- On Contractions of Multiple Words\n- A Look at Uncommon Onomatopoeia\n- Is Singular 'They' a Better Choice?", "label": "Yes"} {"text": "‘Science and Nature’\nBirthday parties are fun. And when you’re as old as the Methuselah Tree, you deserve to have at least one party! Read on to find out just how old this plant is, and branch out with some tree math!\nBedtime Math fan Valeria M. in Spain just asked us, how long would it take to run all the way around the world? Believe it or not, it’s been done! But how long would it take if you didn’t have to take any breaks? Read on to run through the math of world record runs.\nBedtime Math fan Sophia Y. asked us how many ants would it take to pick you up and carry you? Read on to see how the numbers answer this great, antsy question – and get carried away with the math!\nWhat better way to fall asleep than to count sheep — and better yet, a whole parade of them? Every year nearly 1 million sheep are lead through Madrid in search of warmer weather. Even though this may cause a traffic baa-ck up, it must be interesting to see (and count!) so many sheep in the city. Read on to parade your way through the sheep-y math.\nWe got an awesome question from a Bedtime Math fan: Carmel P. wants to know, could you drink a whole lake in an hour? Read on to see what the numbers say – and drink in the math!\nWe are loving the geometry in the Anthem Veterans Memorial sculpture in Arizona. What makes this sculpture so mathematically special? Read on to find out – and see how math can meet nature to create memorable and honoring tributes.\nHave you ever wondered how cranberries get from the farm and into your cup of juice? Unlike other fruits, like apples, that you pick straight from the tree, farmers have a unique – and wet! – way of picking cranberries. Read on to get the scoop on cropping cranberries, and do the “berry” wild math.\nDogs come in all kinds of shapes and sizes, from really big to really small! But just how small is the smallest dog? Read on to find out – and do the math behind petite pups.\nWe have jelly, and we have fish…and then we have jellyfish. It’s a great name for this slimy sea creature. Jellyfish can be smaller than your fingernail, or...\nWhen it’s really clear at night and there aren’t a lot of lights around, you can look up at the sky and see lots and lots of stars. But you’d be amazed by just how many star are up there that your eyes can’t see! Read on to count up the stars and be star-struck by the math in the sky.", "label": "Yes"} {"text": "Calculate the area bounded by the circumscribed and inscribed circle in a triangle with sides 16 cm, 20 cm, and 15 cm.\nDid you find an error or inaccuracy? Feel free to write us. Thank you!\nThank you for submitting an example text correction or rephasing. We will review the example in a short time and work on the publish it.\nTips for related online calculators\nSee also our trigonometric triangle calculator.\nYou need to know the following knowledge to solve this word math problem:\nRelated math problems and questions:\n- Annulus from triangle\nCalculate the area of the area bounded by a circle circumscribed and a circle inscribed by a triangle with sides a = 25mm, b = 29mm, c = 36mm\nCalculate the radius of the Circumscribed circle in the rectangle with sides 20 and 19. Can it be a rectangle inscribed by a circle?\n- Circumscribed 6568\nIn a right triangle ABC with a right angle at the vertex C, it is given: a = 17cm, Vc = 8 cm. Calculate the length of the sides b, c, its area S, the perimeter o, the length of the radii of the circles of the triangle circumscribed by R and inscribed r an\n- Square and circles\nSquare with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.\n- Annular area\nThe square with side a = 1 is inscribed and circumscribed by circles. Find the annular area.\n- Circumference 56291\nCalculate the circumference of a circle circumscribed by a right triangle with squares 10 cm and 15 cm long.\n- Inscribed 44101\nA circle is inscribed in the triangle with sides of 13 cm, 14 cm, and 15 cm. What is its radius?\n- Diagonals of pentagon\nCalculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm.\nCalculate the area of a regular 15-sides polygon inscribed in a circle with a radius r = 4. Express the result to two decimal places.\n- Inscribed and described circle\nFind the radii of a circle inscribed and circumscribed by a regular pentagon whose side measures 3 cm.\n- Circumscribed 81759\nIn triangle ABC, we know a = 4 cm, b = 6 cm, γ = 60°. Calculate the area and radius of the inscribed and circumscribed circle.\n- Truncated cone 6\nCalculate the volume of the truncated cone whose bases consist of an inscribed circle and a circle circumscribed to the opposite sides of the cube with the edge length a=1.\n- RT and circles\nSolve the right triangle if the radius of the inscribed circle is r=9 and the radius of the circumscribed circle is R=23.\n- Rectangle - parallelogram\nA rectangle is circumscribed by a circle with a radius of 5 cm. The short side of the rectangle measures 6 cm. Calculate the perimeter of a parallelogram ABCD, whose vertices are the midpoints of the sides of the rectangle.\n- Ratio of sides\nCalculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7.\n- Perpendiculars 64574\nCalculate the circle radius circumscribed by a right triangle whose perpendiculars are 10 cm and 24 cm long.\n- Difference 66354\nA circle is inscribed in a square with a side of 12 cm so that it touches all its sides. Calculate the difference between the area of the square and the circle.", "label": "Yes"} {"text": "How was the Babylonian number system created?\nThe Babylonians writing and number system was done using a stylus which they dug into a clay tablet. This explains why the symbol for one was not just a single line, like most systems.\nWhy do the Babylonians use base 60?\n“Supposedly, one group based their number system on 5 and the other on 12. When the two groups traded together, they evolved a system based on 60 so both could understand it.” That’s because five multiplied by 12 equals 60. The base 5 system likely originated from ancient peoples using the digits on one hand to count.\nWho developed the Babylonian number system?\nSexagesimal, also known as base 60 or sexagenary, is a numeral system with sixty as its base. It originated with the ancient Sumerians in the 3rd millennium BC, was passed down to the ancient Babylonians, and is still used—in a modified form—for measuring time, angles, and geographic coordinates.\nWhat is the base 12 number system?\nThe duodecimal system (also known as base 12, dozenal, or, rarely, uncial) is a positional notation numeral system using twelve as its base. As a result, duodecimal has been described as the optimal number system.\nWhy do we count base 10?\nNature gave us ten fingers, and so it is natural for us to count in tens. Machines count bigger numbers in the same way we do: by counting how many times they run out of digits. This system is called binary and the binary number 10 means the machine ran out of digits one time. A human would call this number two.\nWhy is base 60 better than 10?\nTo be clear, base 60 has a big advantage over base 10: 60 is divisible by 3, and 10 isn’t. It’s easy to write the fractions 1/2, 1/4, and 1/5 in base 10: they’re 0.5, 0.25, and 0.2, respectively. But 1/3 is 0.3333…. Its decimal representation doesn’t terminate.\nWhy did Mesopotamians use base 60?\nThe numerical system based on 60 originated with the Sumerian civilisation, 4500 years ago. The theory is that the Sumerian and Babylonians were keen on the number 60 because 60 has many factors, including the first six numbers, one to six, but also 12, 15, 20, 30. This meant dividing by 60 often gives easy fractions.\nWhat was the Babylonian number system used for?\nThe Babylonians developed a system for writing down numbers, using symbols for singles, tens, and hundreds, showing that they probably used a decimal system for everyday life. This system allowed them to handle large numbers comfortably and perform all of the major arithmetical functions.\nWhat number system did the Babylonian’s use?\nBabylonian Mathematics and the Base 60 System Base 10 or Base 60. The system surfaced circa 3100 BCE, according to The New York Times. History. Babylonian math has roots in the numeric system started by the Sumerians, a culture that began about 4000 BCE in Mesopotamia, or southern Iraq, according to USA Today Measuring Time.\nWhat is the rule of the Babylonian number system?\nThe Babylonian system uses base-60, meaning that instead of being decimal, it’s sexagesimal. Both the Babylonian number system and ours rely on position to give value. The two systems do it differently, partly because their system lacked a zero.\nWhat is the Babylonian numeral system?\nThe Babylonian system is credited as being the first known positional numeral system, in which the value of a particular digit depends both on the digit itself and its position within the number.", "label": "Yes"} {"text": "Generate a NaN...on purpose\nSum of series V\nMatlab Basics - Pick out parts of a vector\nFind scalar product of two polynomials a and b, given as vector array.\nPointwise multiplication of vectors.\nSelect primes from the matrix.\nConvert array of decimal numbers into binary numbers array.\nDivide polynomial p1 by p2.\nFor given vectors x,y find coresponding spline coefficients.\nChoose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select: .\nYou can also select a web site from the following list:\nSelect the China site (in Chinese or English) for best site performance. Other MathWorks country sites are not optimized for visits from your location.\nContact your local office", "label": "Yes"} {"text": "Before reading on, you should start here: Dan Meyer’s summative post on mathematical modeling.\nWhat CCSS says about Standard of Mathematical Practice 4 in the elementary grades:\nMathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation.\nMathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.\nWhat modeling can look like in a flow chart:\nElementary 3-Act Resources:\n- Graham Fletcher (K-8)\n- Robert Kaplinsky (3-12)\n- Dane Ehlert’s (3-12)\n- Dan Meyer (3-12)\n- Kyle Pearce (3-12)\n- Mike Wiernicki (3-9)\n- 101 Questions (hosted by Dan Meyer)\nStudent Recording Sheets\nModeling posts worth reading:\nI hope this section will continue to grow. Please drop me a line and let me know of a modeling post that needs to be added here. All of us are smarter than one of us.\nQ: I have an idea for a 3-Act but don’t have a blog?\nA: Don’t need one. 101questions is an excellent website for you to begin experimenting and sharing your ideas with others trying to get their model on.", "label": "Yes"} {"text": "Start a 10-Day Free Trial to Unlock the Full Review\nWhy Lesson Planet?\nFind quality lesson planning resources, fast!\nShare & remix collections to collaborate.\nOrganize your curriculum with collections. Easy!\nHave time to be more creative & energetic with your students!\nClassifying and Sorting Shapes\nIn this early childhood problem solving activity, students discover how to sort shapes with corners, sides and 4 corners and then respond to 3 classification questions.\n3 Views 21 Downloads", "label": "Yes"} {"text": "We are an online testing website. We need questions to be added online from different sources like PDF or offline content. The question contains mathematical equations which needed to type using LATEX format. Please refer to this link to know about LATEX ([login to view URL]).\nQuestions also contain images which need to be uploaded by taking snapshots from a pdf file or searching from the internet.", "label": "Yes"} {"text": "If They Ever Revive High Rollers, You’ll Be Ready With This Strategy Guide\nWhat’s the optimal strategy for taking on the Big Numbers?\nGame show fan and math aficionado Dave Mattingly has a fantastic in-depth read on the optimal strategy for playing the bonus round of the game show High Rollers.\nFor those that don’t know, High Rollers’ Big Numbers game has players trying to shut off lights labeled from 1 through 9. The player rolls the dice, and whatever they roll, they have to remove from the board. So, if they roll an 11, they can remove the 9 and the 2; or the 8, the 2 and the 1. Rolling a doubles gives the player insurance against a roll they can’t remove from the board, but a bad roll and no insurance means the game is over. It’s based on a popular, traditional board game called Shut the Box.\nSo how do you do it? Well, we’ll let Dave explain:\nSince there are nine different numbers, and each number has two states (either still on the board or removed), that means that there are 512 (2 to the 9th power) possible combinations of numbers that you could be left with at some point during the game.\nUm… shit. That’s a lot of math. You better read Dave’s whole article to work out exactly how to win (and play around with his interactive High Rollers widget).", "label": "Yes"} {"text": "Math Skills Training System\n101 Games and Activities\n101 Games and Activities is a book designed for teachers, caregivers and therapists of children with Autism, Asperger’s and Sensory Processing Disorders to teach them through interactive games how to make eye contact, stay focused, strengthen their motor skills, associate words with objects and improve language and numerical skills. Successfully engages the child. The author shows the user how to teach children by moving their bodies through play. These interactive games are quick to learn but w\n2+2 is a math skills training system designed for use with children with low vision or cognitive disabilities. This program focuses on early arithmetic problems and uses an errorless learning method. The program features both drill and test modes and are designed to enable the instructor to enter vertical or horizontal problems for drilling and testing. This program can be accessed using the standard keyboard, IntelliKeys (not included; see separate entry), or a single switch (not included). COM\n3-D Pentomino Puzzle\nThe 3-D Pentomino Puzzle is a math skills game designed for use by children with cognitive disabilities. This 12-piece three-dimensional puzzle forms hundred of combination, sharpening geometry and problem-solving skills. The set includes a guide with fifty puzzles in three levels of difficulty.\nBase Ten Place Value Frame\nThe Base Ten Place Value Frame is designed for children ages five to seven with learning disabilities to help them learn early math concepts. A good, hands-on way to demonstrate early place value concepts. Model ones, tens, and a hundred for base ten activities. For use with the standard 1-centimeter base ten blocks (sold separately).\nCircus Program, The, & The Circus Kit (Models Mw845 & Mw840)\nThe Circus Program and The Circus Kit, models MW845 & MW840, are language and math skills training systems for children with learning disabilities. Appropriate for group or one-on-one tutorials, the Circus Progam consists of a magnetized display classboard, 200 metallic-backed visuals that adhere to the board, a progam manual, an audio cassette featuring songs and activities, make-your-own plastic for creating customized visuals and Wytebord erasable marking pens. The Circus Kit includes jus\nColored Counting Cubes And Full-Color Task Cards\nThe Colored Counting Cubes and Full-Color Task Cards (sold separately) are a perceptual training activity designed for use with children with cognitive, perceptual, learning, and fine motor disabilities.The set of 100 hardwood cubes can be used to create three-dimensional designs to reinforce fine motor and visual discrimination skills and introduce basic math concepts. A set of 36 Full-Color Task Cards with designs and activities is available. DIMENSIONS: The cubes are one inch. COLOR: The bloc\nColorful Clips (Model Cc-13F)\nColorful Clips, model CC-13F, is a reading tutorial program and training system for matching/sorting/assembly designed to teach basic counting, pattern-following, and word recognition skills to people with cognitive disabilities. The activities require students to follow written and illustrated directions for matching clips to pattern cards or activity mats. The set includes 162 plastic clips, 2 activity mats, 72 pattern cards, marking pencil, storage box, and instructions. COLOR: The clips come\nColorful Concepts Manipulatives\nThe Colorful Concepts Series, model CC-20Q, is a set of educational toys, training systems for matching/sorting/assembly, math skills training systems, and vocabulary tutorial programs designed to develop fine motor, direction-following, cooperative learning, attention, vocabulary, and discrimination skills in children with cognitive disabilities. The series is comprised of Colorful Words, model CC-10F ($29), Colorful Numbers, model CC-12F ($29), Colorful Clips, model CC-11F ($29), and Colorful\nColorful Numbers (Model Cc-12F)\nColorful Numbers, model CC-12F, is an educational toy, a training system for matching/sorting/assembly, and a math skills training system designed to teach counting, number recognition, and addition to people with cognitive disabilities. Dice in three colors can be used for matching, counting, number recognition, and simple addition activities. The set includes 100 dice, 2 activity mats, marking pencil, storage box, and instructions. COLOR: The set includes red, green, and white dice. WARRANTY:\nDifferentiated Math Lessons\nDifferentiated Math Lessons is a software program and book for teachers for lesson planning in math. Features all lesson plans and student materials needed for teaching the these units: graphing, linear measurement, volume and capacity, weight, time, and money. The Instructor's Guide gives step-by-step lessons with measurable objectives, vocabulary lists, pretests and post-tests plus grade level maps. Student Materials include unity stories, Research It!, vocabulary cards, and tiered worksheets.\nExploring Patterns is a math skills training system designed for use by children with physical and cognitive disabilities. Using simulated manipulatives, the program enables students to copy, complete, and create hundreds of patterns of increasing complexity. Accessible with a mouse, a switch, or IntelliKeys (see separate entry), this program offers 140 carefully sequenced activities, a choice of three manipulatives for most activities, continuous auditory feedback, and a comprehensive Teacher's\nExploring Patterns Activity Book\nThe Exploring Patterns Activity Book is a math skills training system designed for use by children with physical and cognitive disabilities. The program enables students to create their own pattern rules and discover patterns within patterns. Accessible with a mouse, a switch, or IntelliKeys (see separate entry), this program offers thirty illustrations that can be colored using IntelliPaint and provide a real-life context for learning about patterns. Categories include Everyday Objects, Nature,\nGiant Textured Beads With Pattern Matching Cards\nGiant Textured Beads with Pattern Matching Cards help teachers and parents working with young students in preschool, kindergarten and early elementary grades who are blind and have visual impairments. These Pattern Matching Cards reinforce the tactile continuum from real object (most basic level) to raised-line graphics (most advance level). Students in higher grades will be challenged by the increasing difficulty posed by the “Platform” and “3-D View” matching cards.\nHow Many Cows on the Farm Counting Game\niTouchiLearn Numbers is a math tutorial program and a math skills training system designed for use by parents working with children who have cognitive, learning, physical or speech disabilities. This application (or app) allows a parent to use their Apple iPad, iPhone or iPod Touch to help a child understand math concepts and enable them to apply what they learn to new situations through a blend of curriculum based early learning with verbal directions and animated games. These games use multipl\nLeap Into Math Activity Set\nThe Leap into Math Activity Set is a math skills training system designed for use by children with cognitive disabilities. The set assists with early counting, sorting and matching, and addition and subtraction skills. The set includes 48 counters in the shape of frogs and 12 double-sided activity cards. Information on four species of frogs and their habitats are also included. OPTIONS: An extra set of 72 frog counters is available. COLOR: The counters come in six colors.\nLearn More About Math\nLearn More About Math is a math tutorial program designed for use by children with learning disabilities or children with upper extremity disabilities and fine motor disabilities who use switch input. The program has six activities that reinforce essential early math skills and concepts. In these activities, students count to nine; count animated creatures; complete a sequence of numbers; play a memory game using numerals; practice analog and digital time telling; and practice addition and subtr\nLearning Resources Bake & Learn\nLearning Resources Bake & Learn is a playset designed for children ages three and up with learning disabilities to enhance fine motor skills, learn letters, shapes and numbers while pretending to bake brownies, cookies or a cake.\nLearning Resources Counting Cows Toy Set, 20 Pieces\nLearning Resources Counting Cows Toy Set, 20 Pieces is a set of toys designed for children ages two and up with learning disabilities to learn to count and to learn number identification and more. Color coding on the cows helps children find the correct solutions.\nLink 'n' Learn Count & Measure\nThe Link 'N' Learn Count & Measure is a math skills training system designed for use with children with cognitive disabilities. The set includes 78 links, 22 hands-on activities, and two links games. The games and activities use playful animals to help children build counting, sorting, and measuring skills. COLOR: The links come in assorted colors.\nLink 'n' Learn Math Activity Card Set\nThe Link 'N' Learn Math Activity Card Set is a math skills training system designed for use by children with cognitive disabilities. The set assists with counting, sorting, patterning, and graphing activities. The set includes 102 links and 16 double-sided activity cards. OPTIONS: An extra set of 102 links is available. COLOR: The links come in six colors.\nMaking Sense With Numbers\nMaking Sense with Numbers is a math tutorial program designed for use by children with learning disabilities and children with upper extremity disabilities or fine motor disabilities who use switch input. The program has nine activities related to early number work: Number recognition (1-9), counting, dot-to-dot, dominoes, memory activities, and painting by numbers. Activities are accompanied by graphics and animations, speech, and sound. Teachers and parents can configure the program for level\nMath Workshop is a math tutorial program designed to devleop and practive critical math skills for children with a developmental or physical disability. By combining games, music and animated characters, children have fun as they develop problem solving, strategic thinking and computation skills. Each activity has multiple levels of difficulty designed to build both confidence and motivation. There are seven activities including Bowling for Numbers, Puzzle Patterns, Sticklers and Rhythm Generato\nMath...To Go! is an auditory output, electronic educational toy designed to help children develop skills in equation solving, math tables, and critical-thinking problems while practicing addition, subtraction, multiplication, and division. The toys memory has more than 50,000 math problems on three challenge levels. Correct answers are rewarded with musical tunes and graphics on the 7-character LCD display. The toy also has a calculator built-in so the device can be used to complete school lesso\nMathematics Made Easy For Children With Visual Impairment\nMathematics Made Easy for Children with Visual Impairment, by Dr. M.N.G. Mani, Aree Plernchaivanich, G.R. Ramesh, and Larry Campbell, is a manual on math training for blind students. This book helps children who are blind or have low vision to master secondary level mathematics by providing their teachers and parents with a resource for improving instructional strategies. The material presented in this publication is divided into five modules. Module 1 deals with the commonly used methods of tea\nMathosaurus is a math tutorial program designed to build early math concepts and computation skills. The four disk series includes 16 activities where animated dinosaurs entertain children as they learn. Students match sets to corresponding number symbols 1 to 10, create matching sets and compare sets to determine which is more and which is less. They learn the meaning of numbers to 20, ordinal numbers first through tenth and the concepts of greater than and less than. They practice counting to\nMini Motors Activity Card Set\nThe Mini Motors Math Activity Card Set is a math skills training system designed for use by children with cognitive disabilities. The set assists with early counting, sorting, and matching skills. The set includes 48 mini motor counters in the shapes of various vehicles, including cars, planes, boats, trucks, etc. and 12 double-sided activity cards. OPTIONS: An extra set of 72 mini motors counters is available. COLOR: The counters come in four colors.\nNumber Navigator is a math skills training program designed for use by individuals with upper extremity and fine motor disabilities. This mathematical software enables children to record their arithmetic and algebra exercises and homework via the button bar, keyboard, or switches without having to resort to the complexities of a spreadsheet. Numbers are entered into grid locations on the screen, using the keyboard or switches with SAW (Switch Access for Windows) Selection Sets. The pupil then na\nNumberPack is a math skills training program designed for children with upper extremity and fine motor disabilities. This software program contains three simulated pieces of classroom equipment: a teaching clock, an abacus, and a number line. These simulations are keyboard-operated stand-alone units with their own printing functions. The clock is a re-creation of a classroom teaching clock with a number of additional features. The clock can be moved forwards or backwards in a number of adjustabl\nPeg-It Facts Board\nThe Peg-It Facts Board is a math skills training system designed for use with individuals with learning and other cognitive disabilities. The set offers students visual and tactile reinforcement of addition and subtraction concepts using numbers up to 10. The set includes Tactilmat pegboards printed with addition and subtraction problems, Easy-Grip pegs, number and symbol tiles, and a 36-page reproducible workbook which introduces addition and subtraction concepts and provides reviews. Students\nReal Life Math Collection\nReal Life Math Collection books teach simple addition, subtraction and multiplication through the use of real-life situations, while making instruction fun and effective. Students refer to colorful price lists to pay for food at a restaurant, market, or department store. From pizza to sunglasses, the easy-to-read price lists generate hundreds of number and word problems, sure to improve any student’s math skills.\nSchool Smart Pattern Block Set\nThe School Smart Pattern Block Set is designed for children with Autism Spectrum Disorder to teach them geometry, symmetry, fractions and other math concepts. Each set comes in six shapes and colors. 250 pieces. Good for creating pictures of everyday objects. Six shapes and colors.\nShapes And Numbers Thematic Activity Module (Models 2842-7 & 2834-5)\nThe Shapes and Numbers Thematic Activity Module is a math skills and language training system using a circus theme to develop early skills for students at the Kindergarten and first grade levels, beginning with whole numbers and progressing through the characteristics of four basic shapes. Circus performers are used to teach counting, identification and comparison. The system utilizes a magnetized display board and metallic-backed visuals to illustrate concepts and encourage interactive learning\nSuper Speak & Math\nSuper Speak & Math is a math skills game and training system designed to develop an understanding of important basic math concepts. This electronic, educational toy has a memory with more than 250,000 problems on three difficulty levels. This portable unit has a built-in handle, 3-line LCD display that helps children visualize the \"Base 10\" picture method, and calculator-like keyboard with color-coded activity keys. Auditory output includes music and video arcade sound effects and speech syn\nSupermarket Program, The & The Supermarket Kit (Models Mw835A, Mw835B, Mw820A & Mw820B)\nThe Supermarket Program and The Supermarket Kit, models MW835A, MW835B, MW820A & MW820B, is a math, language and independent living skills tutorial for children with learning disabilities. The Supermarket Program includes a magnetized diplay classboard, 200 visuals that adhere to the board, a program manual, math lesson cards and Wytebord marking pens. The Supermarket Kit includes just the visual overlays and either a regular education or English as a Second Language (ESL) program manual. By\nTalking Math is a language tutorial program designed for use with children and adults with cognitive and communication disabilities. Contained in a sturdy storage box, this set of 48 large cards is designed to teach the language and concepts necessary for math success, including sorting, sequencing, position, number, shape, and size. Teaching points and follow-up activities are included on the back of each full-color card. DIMENSIONS: 8 x 5.75 inches.\nTanagramables Book And Tanagrams Set\nThe Tanagramables Book and Tanagrams Set is a perceptual training activity designed for use by children with cognitive, perceptual, sensory, and fine motor disabilities. This set includes a seven-piece plastic Tanagram set for creating designs and patterns and a 96-page book with 75 reproducible activity sheets organized by level of difficulty.\nThree Bear Family Count & Match\nThe Three Bear Family Count & Match is a training system for matching / sorting / assembly designed for use by children with cognitive disabilities. The set includes 16 plastic circus bears for counting, sorting and matching; 27 hands-on activities, and two games.\nVirtual Pencil is math training software designed for use by students who have difficulty using a pencil, including students who are blind or have low vision, upper extremity disabilities, or learning disabilities. This software can be used by students to solve mathematics problems without the use of a pencil, including addition, subtraction, multiplication, and division. When the software is opened, a split screen appears, looking like a window with two panes. The left pane shows a tree directo\nWild Animal Sort & Compare\nThe Wild Animal Sort & Compare is a math skills training system designed for use with children with cognitive disabilities. The set includes 16 rubber animals, 17 hands-on activities, and two games. The games and activities help children build counting, sorting, and matching skills. COLOR: The animals come in assorted colors.", "label": "Yes"} {"text": "It is quite simple math that is at work. The first cases were seen in early March. If you assume that each victim spreads it to just two more people in about a week, then cases would triple each week (including the original victim each week) . That would work out roughly to the 2,500 now suspected cases in Mexico. Tripling each week would mean about a million and a half cases in three months, rising to 6 billion or so in another eight weeks, i.e. the world's population, roughly. This is less time that it will take to manufacture a vaccine. Even with a widely used vaccine, ordinary flu causes from a quarter to a half million deaths world wide each year. The fatalities from this flu would likely be higher just because of the lack of vaccine, even if it turns out to be no more deadly than normal flus. But the apparently excess deaths in Mexico indicate it might be even more dangerous than that.", "label": "Yes"} {"text": "Many sparse cuts via higher eigenvalues\nJoint with Anand Louis, Santosh Vempala and Prasad Raghavendra (moving to Berkeley).\nTopic: relating higher eigenvalues of the Laplacian to isopermetric constants.\n1. Cheeger inequality\nLaplacian is where is the adjacency matrix of the graph and the diagonal degree matrix. The first eigenvalue is , let be the second one.\nCheeger’s inequality deals with Riemannian manifolds. Here is its translation for graphs. Given a subset of vertices, let denote the set of edges between and its complement . Set\nThere is a weighted variant.\nTheorem 1 (Cheeger’s inequality, due to Alon, Alon-Milman, Jerrum-Sinclair) Let be a -regular graph.\nProof: Use min-max characterization of eigenvalues. For reverse inequality, insert Cauchy-Schwarz.\n2. Higher eigenvalues\nMotivated by Small Set Expansion, a problem introduced by Raghavendra and Steurer in connection with the Unique Games Conjecture.\nUnclear a priori what will replace edge expansion.\nTheorem 2 Easy: For every disjoint subsets of vertices with, one of them has edge expansion .\nDifficult: There exist disjoint subsets with size which all have edge expansion .\nOpen: Can one replace with exactly .\nTightness: term cannot be avoided (look at noised cube).\nProof is cumbersome but algorithm is nice. James Lee, S. Oveis Gharan and L. Trevisan have an alternate treatment (STOC’12).\nCase . Let be an eigenvector. Sort vertices according to increasing . Stop when …\nGeneral case. Let be orthonormal eigenvectors. This gives a map to . Pick random Gaussian vectors in . For each vertex ,\n– Project along Gaussian directions .\n– Pick which maximizes .\n– Move (project down) the vector to direction .\nRun Cheeger rounding along each direction , output the cuts of expansion .\n2.2. Questions from the audience\nIf one knows that eigenvalues have high multiplicity, can improve on ? Answer: I don’t know.", "label": "Yes"} {"text": "“Learning should be an unending process,” said Don Bushaw in an interview some years back. Anyone who knew him at all will know this was no idle observation. Bushaw, who first arrived at Washington State College in 1943 as a 17-year-old freshman and returned, a doctorate in mathematics from Princeton in hand, to teach and lead for a distinguished 43 years, passed away in Portland, Oregon, on January 15, 2012, surrounded by his wife and children.\nDon Bushaw was born in Anacortes, Washington, on May 5, 1926, to Elmond and Ruth Bushaw. The family moved to Bremerton in 1930 when Elmond took a job at Puget Sound Naval Shipyard.\nBushaw graduated from Bremerton High School in 1943 and entered Washington State College. After serving for two years in the U.S. Navy, he returned to WSC, where he met and then married Sylvia Lybecker ’47 in 1946. Don graduated from WSC with a degree in mathematics in 1949, and went on to graduate school at Princeton.\nAt Princeton, he studied under Solomon Lefschetz, who during the early Cold War believed that the United States lagged behind in aspects of differential equations most relevant to missile technology. Bushaw’s resulting dissertation opened up the new mathematical discipline of control theory, which has many ramifications for national defense.\nBushaw, with his family, returned to Pullman in 1952 as a mathematics instructor, climbing the academic ranks to full professor in 1962. During his 43-year tenure at WSU, Don served as mathematics professor, mathematics department chairman, acting director of libraries (twice), and vice provost for instruction. He taught 62 different courses in mathematics. He also taught a University Honors class on Eastern civilization.\nHis research and writing ranged widely, encompassing control theory, differential equations, topology, and mathematical economics, as well as mathematics education, the history of mathematics, and mathematical biographies.\nAmong many other awards, Bushaw delivered the Faculty Invited Address (1968) and was the first recipient of the WSU Faculty Excellence Award for Instruction in 1983.\nApart from the time Don spent on family and professional activities, he had a passionate lifelong interest in traveling and learning languages. He had good friends all around the world. He also translated books and research articles in a variety of languages, including Russian and Chinese.\nIn a 1993 Daily News article celebrating Bushaw’s 50 years at WSU, Cal Long, who joined WSU’s math department in 1956, four years after Bushaw, said of his colleague, “There is simply nobody I’ve known who is as bright and knowledgeable across the board. I don’t know anybody on our faculty who’s more respected … But he never flaunted it … If I were funding a university, I’d want to staff it with Don Bushaws.”\nWhen asked to introduce an article on great teaching for the University’s 1992 financial report, Bushaw submitted the following:\n“Teaching itself can be described as making it easier for others to learn, and it can be done in many ways. Great teachers teach greatly. Active student involvement is often the key to good learning, and the great teacher may be precisely the teacher who can provide strong motivation, guidance, and intellectual resources for that involvement. In doing this, the great teachers—like all good teachers—draw on such qualities as knowledge, organizational skills, enthusiasm, and a sense of humor. And they care about the learners.”\nIn a handwritten note attached to his submission, Bushaw wrote: “Not very flamboyant, but (I think) honest.”\nDon is survived by his wife of 65 years, Sylvia, and his sister, Shirley Hanson of Gig Harbor. He leaves daughters Amy Bushaw and Margaret Parker of Portland, sons Bruce ’74 of Richland, Gordon of Silverdale, and Tom of Kennewick. He also leaves three grandsons, Brice Bushaw, Neal Bushaw, and Robert Parker, and his great-granddaughter Natalya Parker.\nRemembrances can be made to the Donald W. and Sylvia R. Bushaw Scholarship in the Glenn Terrell Scholarship Program at Washington State University.", "label": "Yes"} {"text": "Pure Mathematics 2: v. 2 Paperback – 1 Aug 1979\nCustomers Who Bought This Item Also Bought\nEnter your mobile number below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.\nGetting the download link through email is temporarily not available. Please check back later.\nTo get the free app, enter your mobile phone number.\nWhat Other Items Do Customers Buy After Viewing This Item?\nTop Customer Reviews\nthis is the book 'further pure maths' by the same authors is based upon.\nfrom the preface =\n'pure mathematics 2 is a continuation of the work covered in volume 1 and is intended to complete a full two year course in pure mathematics. it caters for the pure mathematics content of such advanced level schemes as the university of london syllabus in further mathematics.'", "label": "Yes"} {"text": "the number of cells has increased by 7.2%.Let t be the number of hours since the start of the study. Let y be the of the bacteria cells.Write exponential function showing the relationship between y and t .\ny = a(1+r)^x\ninitial amount before\nr = growth rate\nx = number of\ntime intervals that have passed\ny = 2500(1+.072)^t\nContent will be erased after question is completed.\nEnter the email address associated with your account, and we will email you a link to reset your password.\nForgot your password?", "label": "Yes"} {"text": "0 pts endedThis question is\nclosed. No points were awarded.\nAn infinite sheet of surface current density is given by Js1 = 10y^ A/m (y^ is y hat) exists on the plane defined by x =1. A second infinite sheet of surface\ncurrent density given by Js2 = 14z^ (z hat) A/m is on the plane defined by x= -2. What is the magnetic field intensity H(vector) for any point where -2.<) In this little survey post I wish to list some background and historical results which might appear in the talk.\nLet me post the (tentative) abstract first:\nTitle: Volume preserving extensions and ergodicity of Anosov diffeomorphisms\nAbstract: Given a self-diffeomorphism of a compact subset in , from Whitney’s extension theorem we know exactly when does it extend to . How about volume preserving extensions?\nIt is a classical result that any volume preserving Anosov di ffeomorphism of regularity is ergodic. The question is open for . In 1975 Rufus Bowen constructed an (non-volume-preserving) Anosov map on the 2-torus with an invariant positive measured Cantor set. Various attempts have been made to make the construction volume preserving.\nBy studying the above extension problem we conclude, in particular the Bowen-type mapping on positive measured Cantor sets can never be volume preservingly extended to the torus. This is joint work with Charles Pugh and Amie Wilkinson.\nA diffeomorphism is said to be Anosov if there is a splitting of the tangent space that’s invariant under , vectors in are uniformly expanding and vectors in are uniformly contracting.\nIn his thesis, Anosov gave an argument that proves:\nTheorem: (Anosov ’67) Any volume preserving Anosov diffeomorphism on compact manifolds with regularity or higher on is ergodic.\nThis result is later generalized to Anosov diffeo with regularity . i.e. with an -holder condition on the derivative.\nIt is a curious open question whether this is true for maps that’s strictly .\nThe methods for proving ergodicity for maps with higher regularity, which relies on the stable and unstable foliation being absolutely continuous, certainly does not carry through to the case:\nIn 1975, Rufus Bowen gave the first example of an Anosov map that’s only , with non-absolutely continuous stable and unstable foliations. In fact his example is a modification of the classical Smale’s horseshoe on the two-torus, non-volume-preserving but has an invariant Cantor set of positive Lebesgue measure.\nA simple observation is that the Bowen map is in fact volume preserving on the Cantor set. Ever since then, it’s been of interest to extend Bowen’s example to the complement of the Cantor set in order to obtain an volume preserving Anosov diffeo that’s not ergodic.\nIn 1980, Robinson and Young extended the Bowen example to a Anosov diffeomorphism that preserves a measure that’s absolutely continuous with respect to the Lebesgue measure.\nIn a recent paper, Artur Avila showed:\nTheorem: (Avila ’10) volume preserving diffeomorphisms are dense in volume preserving diffeomorphisms.\nTogether with other fact about Anosov diffeomorphisms, this implies the generic volume preserving diffeomorphism is ergodic. Making the question of whether such example exists even more curious.\nIn light of this problem, we study the much more elementary question:\nQuestion: Given a compact set and a self-map , when can the map be extended to an area-preserving diffeomorphism ?\nOf course, a necessary condition for such extension to exist is that extends to a diffeomorphism (perhaps not volume preserving) and that has determent on . Whitney’s extension theorem gives a necessary and sufficient criteria for this.\nHence the unknown part of our question is just:\nQuestion: Given , s.t. for all . When is there a with ?\nThere are trivial restrictions on i.e. if separates and switches complementary components with different volume, then can never have volume preserving extension.\nA positive result along the line would be the following slight modification of Moser’s theorem:\nTheorem: Any diffeomorphism on can be extended to a area-preserving diffeomorphism on the unit disc .\nFor more details see this pervious post.\nApplying methods of generating functions and Whitney’s extension theorem, as in this paper, in fact we can get rid of the loss of one derivative. i.e.\nTheorem: (Bonatti, Crovisier, Wilkinson ’08) Any diffeo on the circle can be extended to a volume-preserving diffeo on the disc.\nWith the above theorem, shall we expect the condition of switching complementary components of same volume to be also sufficient?\nNo. As seen in the pervious post, restricting to the case that only permute complementary components with the same volume is not enough. In the example, does not separate the plane, can be extended, the extension preserves volume on , and yet it’s impossible to find an extension preserving the volume on the complement of .\nThe problem here is that there are ‘almost enclosed regions’ with different volume that are being switched. One might hope this is true at least for Cantor sets (such as in the Bowen case), however this is still not the case.\nTheorem: For any positively measured product Cantor set , the Horseshoe map does not extend to a Holder continuous map preserving area on the torus.\nHence in particular we get that no volume preserving extension of the Bowen map can be possible. (not even Holder continuous)", "label": "Yes"} {"text": "Provide Teachers with the Right Tools for the Job\nWe work hand-in-hand with teachers in providing sound methodologies and innovative tools to meet the following objectives of teaching:\nReinforce or review concepts taught using the animated lessons. Construct your own mathematical understanding, verify Mathematical concepts and connectthinking and Mathematics with the help of our video lessons.\nInject fun in learning using topic specific games and multi-player games.", "label": "Yes"} {"text": "Many spectral unmixing approaches ranging from geometry, algebra to statistics have been proposed, in which nonnegative matrix factorization (NMF)-based ones form an important family. The original NMF-based unmixing algorithm loses the spectral and spatial information between mixed pixels when stacking the spectral responses of the pixels into an observed matrix. Therefore, various constrained NMF methods are developed to impose spectral structure, spatial structure, and spectral-spatial joint structure into NMF to enforce the estimated endmembers and abundances preserve these structures. Compared with matrix format, the third-order tensor is more natural to represent a hyperspectral data cube as a whole, by which the intrinsic structure of hyperspectral imagery can be losslessly retained. Extended from NMF-based methods, a matrix-vector nonnegative tensor factorization (NTF) model is proposed in this paper for spectral unmixing. Different from widely used tensor factorization models, such as canonical polyadic decomposition CPD) and Tucker decomposition, the proposed method is derived from block term decomposition, which is a combination of CPD and Tucker decomposition. This leads to a more flexible frame to model various application-dependent problems. The matrix-vector NTF decomposes a third-order tensor into the sum of several component tensors, with each component tensor being the outer product of a vector (endmember) and a matrix (corresponding abundances). From a formal perspective, this tensor decomposition is consistent with linear spectral mixture model. From an informative perspective, the structures within spatial domain, within spectral domain, and cross spectral-spatial domain are retreated interdependently. Experiments demonstrate that the proposed method has outperformed several state-of-the-art NMF-based unmixing methods. Index Terms-Hyperspectral imagery (HSI), spectral unmixing, spectral-spatial structure, tensor factorization.\ntranslated by 谷歌翻译", "label": "Yes"} {"text": "Mathematics is an integral part of our daily lives, and it is crucial to develop maths skills from a young age. In Singapore, where maths is a core subject in the education system, it is essential to make maths a daily way of life for kids. Fortunately, numerous simple daily activities can help kids develop their maths skills and make maths a fun and engaging subject. In this post, we will explore some simple activities that can make maths a daily way of life for kids in Singapore.\nCooking and baking are excellent ways to practise maths skills. Measuring ingredients, adjusting recipes, and calculating cooking times are all mathematical tasks that require precision and accuracy.\nEncouraging kids to get involved in the kitchen and make cooking and baking a fun maths activity can help them develop their maths skills while learning valuable life skills.\nBudgeting is an excellent way to teach kids about money management and maths skills. Whether you are creating a household budget or planning a vacation, budgeting requires you to add, subtract, multiply, and divide. Involving kids in the budgeting process and teaching them how to manage money can help them develop financial literacy and maths skills.\nPlaying games is a fun way to practise maths skills. Games like Sudoku, chess, and card games require critical thinking and problem-solving skills. Encouraging kids to play games that involve maths and logic can help them develop their maths skills while having fun.\nShopping is an excellent way to teach kids about money and maths skills. Taking kids grocery shopping and involving them in the process can help them learn how to compare prices, calculate discounts, and estimate the total cost of the items.\nFor example, \" This bowl of sushi is $8. We need to get some oranges, spinach and potatoes first. Mummy has $30; let's see if we have enough to get some sushi afterwards! \"\nThis can help them develop their maths skills while learning about money management.\nGardening is a great way to teach kids about maths and science. Measuring the distance between plants, calculating the amount of soil needed, and determining the amount of water required are all mathematical tasks that require precision and accuracy.\nGardening also teaches kids about the environment and the importance of sustainability.\nReading is an excellent way to improve maths skills. Many books, especially children's books, incorporate maths concepts into the story.\n1. Ten on a Twig by Lo Cole (Pre-K–P1): Ten adorably colourful birds sit happily on a\nbranch—until they begin to fall off one by one! Subtraction is a hard concept to introduce to young kiddos, but this story makes it fun and concrete.\n2. If You Were a Minute by Tricia Speed Shaskan (P1–P3): Kids can look at a clock and read the time, but this book helps them understand what can be done in different amounts of time to build deeper meaning. It is never too early to introduce time management skills.\n3. One Grain of Rice: A Mathematical Folktale by Demi (P3-P5): In this Indian folktale, a clever girl named Rani helps her village by making a deal with a greedy raja. She receives one grain of rice, doubled, for 30 days. Over time, more than 1 billion rice grains became available for all the villagers to share. The story teaches problem-solving, multiplication, fairness, and sharing.\nEncouraging kids to read books that involve maths and asking them questions about the story can help them develop their maths skills while improving their reading comprehension.\nIn conclusion, maths is an essential subject in the education system in Singapore, and numerous simple activities can make math a daily way of life for kids. The activities shared in this post are all fun and engaging ways to practise maths skills. Encouraging kids to get involved in these activities and make maths a part of their daily routine can help them hone their maths skills and make maths a fun and exciting subject to learn.\nWritten by: Ms Harsheeni Hanna Rajoo, Educational Therapist\nVetted by: Dr Lian Wee Bin, Developmental Paediatrician & Neonatologist", "label": "Yes"} {"text": "Our new interactive whiteboard software is now available! Designed to enhance the multi-sensory Numicon programme, our software offers teachers a rich library of images and models to use in whole class teaching. Interactive workspaces and resources can be used to create dynamic sessions to introduce key mathematical ideas to the whole class. Workspaces and resources include: Number lines, objects for counting, coins, number generators, hoops to use in sorting, division, fractions and more. The pictures of various everyday objects can be used to help children use and apply their arithmetic. New and Improved Features for Version 2.0\n-Fresh, easy to use design offering group selection -New pen/eraser tool -New edit palettes for rotating and grouping shapes and objects -New functionality with workspaces linked to resources -New Scrolling Numicon number line up to 21 -New HTU frames and multiplication grid -Larger screen resolution to allow more objects on the workspace -Extended range of resources with blank spinners and more fractions This is designed as a tool for whole class demonstration and we strongly recommend that the multi-sensory approach is maintained by giving each pupil a set of 1-10 Numicon Shapes, which they can hold up in response to questions. System Requirements PC System Requirements Windows 98 or higher with 450Mhz Intel Pentium II processor (or equivalent) Hard disc space: 4Mb Memory: 128Mb RAM Graphics: Standard VGA Resolution: 800x600 plus Mac System Requirements OS 9.1 or higher with G3 processor or higher Hard disc space: 4Mb Memory: 64 MB RAM Resolution: 1024x768 plus Please note that this product is Flash based and therefore does not work on iPads or Android tablets.\nPublisher: Oxford University Press", "label": "Yes"} {"text": "European roulette is a game of chance in which players choose numbers on which to bet. There are two main variations of the game of roulette, known as American roulette and European roulette. The two games are quite similar in the way bets are made and the way the basic game is played.\nIn both American roulette and European roulette, players put chips on a board of numbers. They may wager on single numbers or groups of numbers (to a maximum of 18 numbers). Once bets are placed on the table, a ball is dropped down onto a spinning wheel.\nWhen the ball lands on a numbered pocket on the wheel, a winning number is determined and players who chose that number when they wagered are paid their winnings.\nSo, what is the difference between American roulette and European roulette? In American roulette, the wheel has each number from 1-36 as well as a zero and a double zero. When the ball moves around the wheel, it has an equal chance of landing in any of the slots. The European roulette wheel has one less pocket and only includes the numbers from 1-36 and zero. European roulette does not have the double zero.\nSince there is one less number on the wheel, each player who wagers on the numbers has a slightly higher chance of winning than if he or she had made an identical bet on an American roulette wheel. For example, if a player bets on a single number, there is a one in 38 chance of winning on an American roulette table and the payment is made at 35 to 1. However, a player on a European roulette table has a one in 37 chance of winning, but the same bet is still paid at 35 to 1.", "label": "Yes"} {"text": "I don’t think this is a particularly controversial point. On the one hand, students who enter college with a solid grasp of Algebra II are ready for credit-bearing college courses in mathematics appropriate for a wide variety of degrees. On the other hand, it is and always has been true that STEM-intending students should take mathematics beyond Algebra II in high school in order to prepare for the more advanced STEM coursework they will take in college.\nThe Common Core State Standards reflect this reality. On the one hand, they go up through Algebra II, with a fair amount of statistics in addition. On the other hand, they say on page 57:\nThe high school standards specify the mathematics that all students should study in order to be college and career ready. Additional mathematics that students should learn in order to take advanced courses such as calculus, advanced statistics, or discrete mathematics is indicated by (+)\nAll standards without a (+) symbol should be in the common mathematics curriculum for all college and career ready students. Standards with a (+) symbol may also appear in courses intended for all students.\nI wouldn’t have thought it was necessary to explain all this until I saw some quotes from Sandra Stotsky, Ze’ev Wurman, and Jim Milgram at Breitbart.com in response to our previous post. It turns out that they think college readiness is the same thing as STEM readiness.\nThe recent Wall Street Journal piece by retired UC Berkeley mathematician Marina Ratner is incorrect on so many points that it’s not so much a matter of fact checking as checking to see if there are any facts. For example, of the three quotations she gives from the standards, two are not to be found anywhere in the document. (Read it.) In my mathematics classes, 33% is not a passing grade.\nBut here I want to focus on two of the false assertions she makes: that the standards are lower than those of high achieving countries, and that they will prevent your kids from getting into the colleges you want them to get into. Continue reading\nIn an article about the Common Core State Standards that was published on Huffington Post, Diane Ravitch claimed that “…the largest contingent of the drafting committee were representatives of the testing industry.” This is false, as you can see for yourself.\nThe committee that produced the Common Core State Standards for Mathematics numbered over fifty people, of whom two were affiliated with ACT or the College Board.\nFor those of us who believe in the potential of the Common Core State Standards, it can be frustrating to see the Standards constantly battered in the mainstream media – often with factually incorrect information and agenda-furthering biases. It’s not all bad news though! Every day, there are wonderful, fact-based, reality-based (it’s a shame we have to clarify that point) articles that illustrate the powerful impact the Common Core is already having across the country.\nEvery two weeks I’ll share a round-up of these positive pieces covering everything from the success stories from the classroom, to new reports and studies, to support from experts.\nBottom line: people are doing exciting work to help make the Standards a successful lever to raise student achievement – we all need to hear more about their efforts! Continue reading\nI admit it—I love twitter. I love the hijinks and the lolz and the general free-form vox populi nature of that social media platform.\nAnd this past week, twitter has done it again, by spawning #ThanksCommonCore and @ThnksCommonCore.\nOn June 7, Washington Post reporter Lyndsey Layton published an article about the Common Core which misconstrued facts, ignored evidence and attempted to paint Bill Gates as the mastermind behind the Common Core. Those of us closely involved with the Common Core know how inaccurate her portrayal was. One teacher in Kentucky, Jana Bryant, chose to write to the Washington Post to remind them that one of the many voices Layton excluded from the article was that of teachers who were a part of the Standards development and are living the experience of implementation right now. Though the Post chose not to publish her op-ed, we’d like to post it in its entirety here:\nThe Real Force Behind the Common Core\nLyndsey Layton’s portrayal of the debate around the Common Core State Standards completely excluded what is actually important – what is best for American students and teachers.\nAs a math teacher in Kentucky, I recognized the need to improve standards for students and was supportive of the increased focus and rigor found in the Common Core State Standards for Mathematics, long before I knew how they were funded. I invested my time in them, increasing my knowledge of the Standards and sharing that knowledge through professional development trainings for my peers. Like so many of my colleagues, we recognized that this was work that needed to be done to help our students succeed. Continue reading\nJust in case any of you is receiving panicky emails from your friends in response to the recent factually-challenged article about the standards in the Washington Post, or Diane Ravitch’s followup screed, here are some facts you can supply them with.\nThe WaPo reporter apparently doesn’t know the meaning of the word “press release,” since she couldn’t be bothered finding the NGA press releases during the year the standards were written (which she could have found by googling “NGA press releases common core”). Included among them is a press release which links to the list of members of the 50-person work team, which included classroom teachers, mathematicians, math education researchers, and policy makers, and two representatives of the testing industry (google “common core work team” if you want to see the list). The WaPo article lists Jason Zimba as “the lead writer” for the math standards. But in fact he was one of three lead writers, the other two being me and Phil Daro. And I chaired the whole process, as indicated in the list.\nThe process for the math standards started with progressions documents solicited from people in the work team. The three lead writers fashioned these into standards, and then went through many cycles of revision in response to feedback. I made sure that we listened carefully to participating states (they were our bosses after all), members of the distinguished feedback group (also listed in the document above), national organizations, numerous individuals, and the 10,000 pieces of public feedback received after the public draft was released in March 2010.\nJust for the record, I have never met Bill Gates, nor talked to him. I’m glad he decided to spend his money on improving mathematics education, but he had nothing to do with the process. He also spends his money on ridding the world of malaria, but nobody seems to complain about that.\nThere was a lovely video on the Daily Caller, which apparently hates it when kids show their understanding of the base ten system and the connection between multiplication and addition in doing a multiplication problem. It’s obvious that the fourth grader in this video knows how to use the standard algorithm to solve problems—she performs addition using the algorithm as part of her strategy to solve the problem—but she says she likes the box method better because “you use all the skills together and it makes you think more.” Well, we can’t have that, can we? This kid should just become an adult right away and use “old-school long multiplication.” Which, if we stick with the Common Core, she will be fluent with in Grade 5.\nEvery year, I attend the annual conferences for the National Council of Supervisors of Mathematics and the National Council of Teachers of Mathematics. And this year was wonderful, not only because of the fantastic sessions, discussions, and meet-ups, but also because we saw a number of Common Core supporters sporting their “I Support Common Core” buttons! And a number of folks saw my button and told me that they’d put the bumper sticker on their car!\nIt was so encouraging to see so many math teachers, math supervisors, and math educators sharing their support–so many folks I’d never met before, but had this in common with–we support the Common Core! Of course I had to snap a few pictures to share with everyone who couldn’t be there. (Please look past the blurry phone pics taken in low lighting in windowless rooms in the New Orleans convention center! I’ve never claimed to be a photographer.)\nThere is a great interview with teacher blogger Fawn Nguyen about the Common Core over at Cathy O’Neil’s blog. She likens standards to a list of ingredients you have to use, as on those cooking shows, and curriculum is the dish you make with them. Not a perfect analogy, as she admits, but useful in helping people see the difference between standards and curriculum. And I love the bit at the end where she likens the mathematical practices to cooking techniques:", "label": "Yes"} {"text": "A Note On Perfect Totient Numbers\nDepartment of Applied Mathematics\nCollege of Information Science and Technology\nP. R. China\nIn this note we prove that there are no perfect totient numbers of the\nk ≥ 4, where s\n= 2a 3b + 1,\nr = 2c 3d s + 1,\nq = 2e 3f r + 1,\nand p = 2g 3h q + 1\nare primes with a,c,e,g ≥ 1, and b,d,f,h ≥ 0.\nFull version: pdf,\n(Concerned with sequence\nReceived April 14 2009;\nrevised version received July 18 2009.\nPublished in Journal of Integer Sequences, August 30 2009.\nJournal of Integer Sequences home page", "label": "Yes"} {"text": "Maths Teaching Assistant | Merton\nAre you a high-achieving Maths Graduate with the necessary subject knowledge and personality to accelerate student attainment within Maths?\nWould you like to work as a Maths Teaching Assistant where you can support eager-to-learn students across Key Stage 3, 4 and 5?\nA high-performing, highly inclusive and very successful Secondary School in Merton are looking to appoint a Maths Teaching Assistant for a one-year placement starting with immediate effect!\n- Maths Teaching Assistant | Merton\n- Outstanding Secondary School\n- Supporting students across Years 7-13\n- Delivering 1:1 and small group Maths intervention sessions\n- September 2021-July 2022 | Option of Teacher Training from September 2022\n- £70 per day | £350 per week - Paid PAYE\nThis Maths Teaching Assistant role is an excellent opportunity for a Maths Graduate to work alongside a dedicated Maths department and to support students who have been identified as needing additional support. You will use your excellent subject knowledge as a Maths Graduate to support these students in 1:1 and small group Maths Intervention sessions.\nThe school would like to receive applications from First-Class or 2:1 Maths Graduates to take Maths Tuition sessions throughout the school day. You will be working across the complete ability range within this Maths Teaching Assistant role, some students will be working at the lower end of GCSE and A-Level attainment whilst some students will be aiming for A* grades.\nThis Maths Teaching Assistant opportunity will commence immediately following a successful interview and will run until the end of the academic year (July 2022), in the first instance. From September 2022, you could be offered a place on the school's School Direct ITT programme making this Maths Tutor role ideal for aspiring Maths Teachers.\nRibbons & Reeves look forward to supporting you in your application to this Maths Teaching Assistant role.Maths Teaching Assistant | Merton", "label": "Yes"} {"text": "Saxon Math 2018 Grade 1 Teacher Manual Set\nFor over 30 years, Saxon Math has been delivering proven results for students in Grades K–12. The Saxon Math curriculum has an incremental structure that distributes content throughout the year. This integrated and connected approach provides deep, long-term mastery of the content and skills called for in the Common Core State Standards. The program is easy to implement and features comprehensive materials that are convenient and well-organized.\nThe Teachers Manual set consists of two three ring binders: Volume One and Two, containing scripted lessons. Volume one and two are not sold separately.\n|9781328863355 / 1695439||SXM TCHR MAN BNDR V1 GR1 2018||1|\n|9781328863362 / 1695440||SXM TCHR MAN BNDR V2 GR1 2018||1|", "label": "Yes"} {"text": "Statement of a problem № m1165\nThe random variable X has a binomial distribution with n = 10 and p = 0.5. Sketch the probability mass function of X. (a) What value of X is most likely? (b) What value(s) of X is (are) least likely?\nDownload free solution (doc)\nNew search. (Also 1294 free access solutions)\nUse search in keywords.\n(words through a space in any order)", "label": "Yes"} {"text": "These printable worksheets help kids learn concepts related to more less greatest least and the ordering of numbers. Its really simple and easy as it only involves reciting numbers in sequence.\nPin On Ola\n2 More or Less Worksheets Preschool.\nPreschool worksheets more or less. Draw more or less objects than shown. Free reading and math worksheets from K5 Learning. Compare two objects and find which object can holds more or less.\nGet thousands of teacher-crafted activities that sync up with the school year. Number count worksheet for preschool. Preschool Activity Sheets on More or Less.\nMeasurement worksheet 17. More or Less Worksheets allows you to use pictures instead of words for learning purposes. Both of my children were expected to master this concept by the end.\nMore or Less Worksheets – Comparing Numbers 1-5 1-10 – Greater Than Less Than. Compare two objects and find which object can holds more or less. Comparing worksheets for preschool help children to master basic concepts as More or Less Are ther enough and compare quantities in a mixed group.\nRote counting is the most basic number concept that preschoolers learn. More or less worksheets preschool The kids can enjoy more or less worksheets preschool Math Worksheets Alphabet Worksheets Coloring Worksheets and Drawing Worksheets. At kids academy we believe that kids need to learn in a variety of ways for concepts to stick.\nStudents select the group with more or fewer objects in it. We also introduce the use of more than less than equal to symbols. Get thousands of teacher-crafted activities that sync up with the school year.\nPre-K Free comparison worksheets will develop number recognition and counting activities. Most Popular Preschool and Kindergarten Worksheets Pre Writing Worksheets Shapes Line Tracing Worksheets Picture Tracing Worksheets More or Less Worksheets Preschool Matching Worksheets. Less printable Math worksheets for Preschool students.\nMay 15 2015 – Many early elementary curriculums require a child to be able to identify and create sets of objects with more less and equal. Animal Parents and Babies. Which bowl has more.\nCircle the group with the most objects. Circle the group with more or fewer objects. More Less or Equal Kindergarten worksheets Preschool worksheets Kindergarten worksheets printable.\nMore Less Worksheet Teaching Resources Teachers Pay Teachers 238002 Kindergarten Worksheets Planning Playtime Trending News Today 238003 Preschool Worksheets – Dot to Dot 8 -Worksheets terapia. No numbers are used. More or Less Worksheets is the key to effective learning and teaching Kindergarten and First grade.\nIf you are teaching Kindergarten or First grade you need more or less worksheets. More or less worksheet more or less activity more or less exercise and more or less problemsmore or less worksheet pdf is a good resource for children in preschool kindergartenmore or less worksheet is the free printable. You could include advance preschool worksheets which can be more on mathematics reading writing perception and more general knowledge.\nAd The most comprehensive library of free printable worksheets digital games for kids. Find preschool worksheets that introduce alphabets sounds numbers counting shapes colors dot to dot drawing coloring in and eliminating activities. Compare two objects and find which object can holds more or less.\nClick on the image to view or download the PDF version. Comparison Worksheets More or Less 2 Worksheets. Gradually children can be introduced to comparison signs like greater than less than and equals to.\nSame or Different Worksheets Halloween Worksheets Pumpkin Worksheets Pre Writing Worksheets Preschool Coloring Preschool Dot to Dot. These free printable worksheets for comparing numbersquantities teach the concept of more or less greater than less than to your child. They could play games in the Nursery like Numbers Match Games and Alphabet Puzzles and more or less worksheets preschool.\nAd The most comprehensive library of free printable worksheets digital games for kids. Comparing Capacity Worksheets Measurement worksheet 19. Spring More Or Less Worksheet.\nAs his age progresses conform to his needs. Help your child learn the concept of more or less through these preschool freebie- More or Less Worksheets Free Printable. Comparing Capacity Worksheets Measurement worksheet 18.\nClock craft idea for preschool kids. More or fewer worksheets for preschool kindergarten.\nMore And Less Worksheet For Pre K Apples To Applique Kids Math Worksheets Kindergarten Math Worksheets Kindergarten Reading Worksheets\nPin On Special Ed More Less\nPin On Kindergarten Math\nHow To Teach More And Less Kindergarten Math Worksheets Preschool Worksheets Kindergarten Worksheets\nGallery of Diy Preschool Worksheets More Or Less\nRelated Posts for Diy Preschool Worksheets More Or Less\n- Creative Multiplication Worksheets Grade 4 Math Drills\n- Creative Conjunctions Worksheet Online\n- Awesome Multiplication Worksheets 3 And 4 Times Tables\n- Awesome Conjunction And But Or\n- Creative Maths Worksheets+class 4+multiplication+division\n- Inspiration Multiplication Equal Groups Worksheets Year 3\n- Best Multiplication Worksheets Grade 4 Single Digit\n- Of The Best English Grammar Worksheets On Conjunctions For Grade 6\n- Best Conjunction Worksheets Multiple Choice\n- Inspiration Coordinating Conjunctions And But Or Worksheets", "label": "Yes"} {"text": "Top prize $50,000\nOverall approximate odds to win a prize on a $3 - Mayan Fortunes are 1: 3.90\nHow to Play\n1. Scratch the YOUR NUMBERS play area to reveal numbers.\n2. Scratch only the corresponding numbers in the main play area that match any of YOUR NUMBERS.\n3. If you uncover three (3) or four (4) identical symbols of the same colour in the main play area, win the corresponding prize for that symbol as per the PRIZE LEGEND on the front of the ticket.\nBONUS: Scratch the BONUS play area. Find any prize, win that prize.\n|Prize Level||Odds 1:3.90|\n|Free $3 Ticket + $3||76.92|\n|Free $3 Ticket||28.57|", "label": "Yes"} {"text": "Uh Oh! It seems you’re using an Ad blocker!\nSince we’ve struggled a lot to makes online calculations for you, we are appealing to you to grant us by disabling the Ad blocker for this domain.\nADD THIS CONVERTER ON YOUR WEBSITE:\nAdd Quart (US) to Cups (US) converter to your website to use this unit converter directly. Feel hassle-free to account this widget as it is 100% free.\nAre you going to try a recipe and you don’t have an idea about how many cups in a quart? no doubt, kitchen conversion measurements are crucial as it leads to the good taste of recipe that you are decided to make. The calculator-online provided a smart quart to cups converter through which one can readily perform conversions from quarts to cups. The amazing thing is that there’s no conversion factor required, just you ought to plug-in the value for cups to obtain cups per quart.\nAs a matter of convenience, our team demonstrates formula for quarts to cups that helps you in step-by-step (manual conversions). But, first, let’s answer the term of how many cups are in a quart!\nThe formula for quart to cup is:\nUS cup = US qt x 4\nProblem: Convert 6 cups US to quart US?\nStep 1 (Formula):\nStep 2 (Put the Values):\nStep 3 (Result):\nMeans, 6 US liquid quarts is equal to 24 US cups", "label": "Yes"} {"text": "You will see some numbers in the triangle and they are connected with each other with some logic.\nFind the logic behind the numbers and then find the missing number.\nIf you get the correct answer, share it with your friends on WhatsApp, Facebook and other social networking sites.\nIn the first triangle the surrounding numbers are 4, 5 & 6 and the number in the center is 15.\n6 x 5 / (4/2) = 15\nLet\\’s see if this holds good in second traingle;\n7 x 6 / (12/2) = 7\nSo to find the missing number;\n8 x 8 / (8/2) = 64/4 = 16\nAnswer = 16", "label": "Yes"} {"text": "No. The slope of a horizontal line is zero. The slope of a vertical line is undefined.\nA line on a graph with zero slope is a horizontalline.' Y ' is the same number at every point on the line.\nFor a horizontal line, the slope is zero. Using the formula y=mx+b, where m is the slope.\nthe formula for slope is y=mx+b, a horizontal line has the slope of zero and the slope of a vertical line can be answered as undefined\nIt means there is no velocity - it is at rest and nothing is moving. The slope of the line is velocity - a horizontal line is zero slope = zero velocity\nzero is horizontal, undefined is vertical\nA line with an undefined slope is a vertical line. A line with a slope of zero is a horizontal line. If you use the formula for slope m = (y2-y1) divided by (x2-x1)... For an undefined slope you will get zero in the denominator, which you cannot have because you cannot divide by zero. For a slope equal to zero, you will get a zero in the numerator. Zero divided by any non-zero denominator, will give you a slope of zero.\nUndefined slope is when a line is exactly on the y-axis, for reasons unknown, the slope of a line on the y-axis cannot be determined, so therefore it it \"undefined.\" A line with no slope is a line with a slope of zero. In order for a line to have a slope of zero, it must be directly on the x-axis, meaning it is horizontal. Horizontal lines are straight and have no slope\nA line with zero slope is a straight horizontal line which neigher climbs nor descends along the X-Axis. A line with an undefined slope is a straight vertical line that does not move left or right along the Y- Axis.\nIf the equation of a line is [ Y = -2 ] the the line is horizontal. Its slope is zero.\nA line with a slope of zero is a flat, vertical line.\nZero is when its a straight horizontal line It its going neither up or down Infinite is when its a straight vertical line You could say its positive or negative and it will forever going up or down You couldn't give it a slope number\nYes, it is true; slope zero is no slope.\nThe parallel line would also have a slope of zero (both are horizontal lines).\nA horizontal line has a slope of zero. The equation of a horizontal line is y = a.\nIt is the difference in the abscissae of the points divided by the difference in their ordinates, provided the latter is not zero. Otherwise, the slope is infinite.", "label": "Yes"} {"text": "Ardent Academy Student Spotlight\nWe are proud of our students' many accomplishments, and make sure to celebrate them at Ardent Academy. Visit this page often for updates regarding the work of our outstanding students in various STEAM programs.\nCongratulations to Ardent AMC winners! The MAA’s American Mathematics Competitions (MAA AMC) program is a series of examinations that build problem-solving skills and mathematical knowledge in middle and high school students.", "label": "Yes"} {"text": "This paper aims to provide tools for the complete Jacobian analysis of robotic manipulators of general topology, using a comprehensive velocity equation.\nFirst, a modelling process is made in order to build the velocity equation using simple constraint equations: i.e. length restriction, relative motion and rigid body constraints. Then the motion space is solved, i.e. the space that spans all feasible motions of the manipulator.\nThe velocity equation is comprehensive, i.e. it relates all kinematic variables, not only input and output. The Jacobian related to the comprehensive velocity equation is a square dimensionless matrix. This characteristic has great importance when evaluating manipulability or closeness to singularities. Employing the motion space, any kinematic entity can be studied: i.e. velocities and accelerations of any active/passive joints, screw axis, axodes, and so on. Also a comprehensive singularity analysis can be made.\nThe approach presented is focused on the kinetostatic analysis of manipulators and, therefore, subjected to rigid body assumption.\nThe paper presents a proposal of effective codes for engineering analysis of manipulators.\nThis approach is based on a pure computational kinematic analysis that unifies all kinetostatic analysis for any manipulator topology (i.e. serial, parallel, hybrid manipulators, complex mechanisms, redundant‐or non‐redundant‐actuated). The characteristic Jacobian matrix is dimensionless and provides the means for a complete singularity analysis and an effective use of indicators.\nAltuzarra, O., Salgado, O., Petuya, V. and Hernández, A. (2008), \"Computational kinematics for robotic manipulators: Jacobian problems\", Engineering Computations, Vol. 25 No. 1, pp. 4-27. https://doi.org/10.1108/02644400810841396Download as .RIS\nEmerald Group Publishing Limited\nCopyright © 2008, Emerald Group Publishing Limited", "label": "Yes"} {"text": "Abstract A numerical differentiation problem for a given function with noisy data is discussed in this paper. A mollification method based on spanned by Hermite functions is proposed and the mollification parameter is chosen by a discrepancy principle. The convergence estimates of the derivatives are obtained. To get a practical approach, we also derive corresponding results for pseudospectral (Hermite–Gauss interpolation) approximations. Numerical examples are given to show the efficiency of the method.", "label": "Yes"} {"text": "Journal of Prime Research in Mathematics\nISSN: 1817-3462E (Online) 1818-5495 (Print)\nOn the solutions of nonlinear Caputo–Fabrizio fractional partial differential equations arising in applied mathematics\nLaboratory of Fundamental and Numerical Mathematics, Department of Mathematics, Faculty of Sciences , Ferhat Abbas S´etif University 1, 19000 S´etif, Algeria.\nCorrespondence should be addressed to: email@example.com", "label": "Yes"} {"text": "10 pages, 20 activities (pages are designed to be cut in half)\nStudents draw coins using a graphic organizer to show four different ways to make a designated amount of money. This activity provides practice for students just learning how to count coins that add to amounts under $1.00.\nYou could also have the students work in pairs. After drawing the coins, the students could count for each other the amounts that they drew and compare the different ways that each made the designated amounts.", "label": "Yes"} {"text": "In this video, we will learn how to\nidentify circles regardless of their orientation, size, or color. Circles can come in many different\ncolors and sizes. How can we tell if a shape is a\ncircle? We know that circles are 2D\nshapes. What else do we know about\ncircles? They are round. How do we draw a circle? A circle is a continuous curve.\nThere are lots of examples of\ncircles in real life. A doughnut is a circle, and the\nhole in the center of the donut is also a circle. This part of the frying pan is a\ncircle. This pizza is also a circle, and so\nare the slices of pepperoni on top. Circles are all around us. See how many you can spot. Let’s try identifying some circles\nwith some practice questions.\nChoose the circle.\nWe’re shown five different 2D\nshapes, and we have to choose the circle. Let’s think about what we know\nabout circles. We know a circle is a 2D shape, but\nall of these shapes are 2D shapes. What else do we know about\ncircles? We know that circles are round. Which of our 2D shapes is\nround? It’s this one right at the\nbottom. This is the only 2D shape we can\nsee which is round. This is the circle. All of the other shapes have\nstraight sides. We chose the circle.\nHow many circles are in this\nWe’re showed a picture of a\ntrain. It’s being made from lots of 2D\nshapes. We have to count the number of\ncircles in the picture. How many circles can you see? The wheels of the train are made\nfrom circles. Here’s one, two, three, four. There are four circles in this\npicture of a train.\nWhat have we learned in this\nvideo? We’ve learned how to identify\ncircles. We’ve learned that circles are\nround, and they can come in different sizes or colors. They’re still circles.", "label": "Yes"} {"text": "Division Tables Chart Numbers 1 Printable Elementary Math Worksheets\nDivision Tables Chart Numbers 1 Printable Elementary Math Worksheets.\nFree printable math worksheets. its normal for children to be a grade below or above the suggested level, depending on how much practice had at the skill in the past and how the curriculum in your country is organized. use your judgment. view by grade level preschool.\nFree elementary math worksheets to print, complete, and customize. math fact cafe. home -made worksheets kindergarten (k) first grade (st) second grade () third grade (rd) fourth grade () fifth grade () custom worksheets basic facts. The enrichment math pages will easily complement your existing math program and can be used every week to build the math skills and problem-solving strategies.\nprint as many of these math worksheets as you need to use in the classroom, at home, or at a tutoring center. Math worksheets our collection of printable math worksheets helps kids develop the fundamental skills from kindergarten trough grade. practice general math skills like addition, subtraction, fractions, decimals, multiplication, and division and more.\nGrade math worksheets bundle classroom distance learning elementary nest printable. Math worksheet counting farm animals kids network printable elementary worksheets. Math worksheets print printable elementary. Free printable worksheets kids elementary math. Worksheet sheets free printable worksheets addition kindergarten math evaluate expression elementary mixed multiplication division grade 3. Printable math worksheets kids free practice answers elementary. Learning grade 1 page 5 free worksheets math websites multiplication addition preschool number printable elementary.", "label": "Yes"} {"text": "Take your courses with you and learn anytime, anywhere.\nLearn and practice real-world skills and achieve your goals.\nWe will (eventually) do all of the lectures in the Singapore Math curriculum (which we like). You can follow along through the workbooks available at singaporemath.com.\nI am new to Singapore math and this course does a great job of explaining the thinking behind Singapore math! I would like to see more Singapore math lessons!", "label": "Yes"} {"text": "Graduate programs lead to M.Sc. and Ph.D. degrees in Mathematics at Sabanci University. The current interests concentrate in mainly two areas;\n- Analysis and its applications, differential equations (functional analysis, several complex variables, complex potential theory, holomorphic Dynamics, complex Geometry, probability and stochastics, martingales, operator theory, pseudo-differential operators, nonlinear partial differential equations)\n- Algebra and number theory and their applications (finite fields and applications, coding theory, cryptology, integer partitions, combinatorics, commutative and computational algebra, finite geometry)\n- Wireless Network Security\n- Computer Graph.&Visualization\n- Deep Natural Lang. Processing\n- Automated Debugging\n- Sp.Top.in CS: Parallel Comp.\n- Graduate Seminar\n- Real-Time Systems Design\n- Semiconductor Process Techno.\n- Random Processes\n- Online Application Form\n- Official Transcript: Candidates applying to a PhD program with an undergraduate degree must have a minimum GPA of 3.00 out of 4.00. Graduates of universities that use a different grading system are required to submit an official explanation or a conversion table as appropriate. There is no such requirement for candidates applying with a master’s degree.\n- Two recommendation letters: Candidates are required to provide contact details for two people who will write recommendation letters.\n- One passport-sized photo: Candidates must upload a passport-sized photo to the online system.\n- Statement of Purpose: Candidates must submit a statement, written in English, explaining their intent in applying to the program.\n- Sample work: The sample work submitted by candidates must be in English and no more than 30 pages. The work may be a paper, assignment, dissertation or similar writing.\n- Graduate Education Entrance Examination scores\nInternational17300 USD/yearTuition FeeBased on the tuition of 17300 USD per year during 48 months.\nNational11349 USD/yearTuition FeeBased on the tuition of 11349 USD per year during 48 months.\nNational 81.350 TL\nLiving costs for Istanbul\nThe living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.\nStudyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.\nApply and win up to €10000 to cover your tuition fees.\nUpdated in the last year\nCheck the official programme website for potential updates.", "label": "Yes"} {"text": "Mirabella Lilou October 13, 2020 worksheets\nAnother thing to look out for is what the pupil will need to solve the worksheets? Does the worksheet require the use of crayons? Does it require other things like a pair of scissors, glue and so on?Before you buy worksheets, make sure to check if they have been created to suit the geographical location that you reside in. The language and usage of words differs from country to country. It is no point buying a worksheet which is designed for children in the US for children residing in India. Also see if the worksheets involve just one way of teaching or multiple ways. Do the worksheets involve short assessments? Does it have some activity built in; does it involve elements from the child’s surroundings?\nShirley Slick, ”The Slick Tips Lady,” is a retired high school math teacher and tutor with degrees in Mathematics and Psychology and additional training in brain-based learning/teaching. Her goals: (1) to help parents help their children with math, (2) to help eliminate the horrendous Algebra failure rate, and (3) to inform the general public about problematic issues related to the field of education. For your free copy of ”10 Slick Tips for Improving Your Child’s Study Habits\nOf course, when it comes to picking out the type and design of worksheet you would want for you and your family to use, always consider your needs. Just because availing of a free worksheet will be more practical for you now does not mean that your finance management plans will be better off. But also, budgeting worksheets are not enough if you want to succeed with budgeting, you must have the right mindset too.\n5. Never allow boredom to set in. We know now that when learning is fun and exciting, the brain is actually growing many new dendrites that make connections with many other dendrites. The more connections the better. We also know now that boredom destroys dendrites. Small children quickly become bored with worksheets, especially skill and drill worksheets. Yet another reason to avoid skill and drill worksheets like the plague.\n1. Education vs Time Filler\n– Do I feel anxiety if I don’t have worksheets copied? (The answer should be no.)\nTag Cloudeasy worksheet answers matching worksheets for preschool printable math facts worksheets kids fun activity sheets printable english worksheets free printable learning worksheets printable learning sheets worksheets for kg kids best worksheets for kindergarten math practice sheets math assessment worksheets year 3 maths worksheets math fact sheets pre kg activities worksheets the maths worksheet site basic math skills worksheets in out worksheets for kindergarten free math print out worksheets grade 4 worksheets free arithmetic worksheets free printable activities for kids kg 1 worksheets fun maths worksheets year 4 primary worksheets printable free printable worksheets for lkg easy printable worksheets free printables for pre k pre kindergarten worksheets free free printable math worksheets primary 4 maths worksheets can worksheet for kids maths print grade 4 worksheets to print kindergarten printable games year 2 maths worksheets free printable maths worksheets for 6 year olds printable worksheet generator answer sheets for math a and an worksheets free printable practice worksheets math exercises kindergarten workbooks printable printable worksheets for children math fact practice worksheets in and out worksheets for kindergarten sixth grade math worksheets lkg worksheets create math worksheets free extra worksheets", "label": "Yes"} {"text": "Written to match the contents of the Cambridge syllabus. Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.\nBuy Pure Mathematics 1 (International) book by Hugh Neill from Australia's Online Independent Bookstore, Boomerang Books.\n(246mm x 189mm x 17mm)\nCambridge University Press\nPublisher: Cambridge University Press\nCountry of Publication:", "label": "Yes"} {"text": "Offering private tutions to students from class 6th to 10th for all subjects and special classes for english, reasoning, maths , GK for various competitive exams\nSpecial classes for science subjects like physics, biology, zoology, botany,chemistry [...]\nArea Preferred: HAL,Domlur, Marathalli and surrounding area..\nSubjects: Math, Physics, Chemistry, English, and Hindi(class I-X)\nClass XII:Math, English and Hindi\nTimings: Evening 5:30-9:30 p.m.\nMorning from 6:30-8:00 a.m.\nContact Person: Naveen Kumar\nWEEKEND CLASSES ARE ALSO AVAILABLE\nSPECIAL CLASSES ONLY [...]\nFree Online Maths Tests Practice and Preparation Page- Tests cover cbse maths tests, cbse x maths tests, maths tests online & various other tests for differential & integral. [...]\nDreamz academy provides maths tutor, home tuitions, science tutor, home tutor for home tuition classes. Dreamz academy started in 2002 in chennai to provide Maths tuition by best Maths tutor, also coaching provided for 9th,10th, [...]\nMaths, Physics, Chemistry, Biology, General Reference & English. Entrance Coaching module CBSE/ICSE/State Syllabus. Use software for just 30 minutes and learn in a much better way. Build your future at your own. Details may [...]\nCITY HOME TUITION (Regd. By Govt of A.P.)\nWe specialize for Home Tuitions, any where in twin cities, any class, any syllabus and any subject.\nI to XII (CBSE, ICSE, IGCSE, IB, State)\nInter (Maths, Science, Commerce)\nMatrusri E-Power , the No.1 Educational services provider in India is all set unleash new Education Revolution.This is achieved by providing a dozen Quality Educational Services like Audio classroom setup, animated audio-visual teaching and learning [...]\nI , Mr. Samir Tripathy,a first class B.E and have been teaching maths for last 12 years in various reputed institutes, coaching classes and apart from that i take home tuitions. i [...]\n*2-month coaching starting from Basics *Comprehensive syllabus coverage *Full study material, computerized NOTES *Daily 2-3 hr class,classes 7 Days a week *Short cut Methods in Maths/Reasoning *Special Class for computer,Gk Including Banking and economy *Highest [...]\nKerala Houseboats or the Kettuvallam are country made boats in Kerala that are today’s most iconic attractions in Kerala tour. Kerala houseboat is used as the medium for the Kerala backwater tours for leisure [...]", "label": "Yes"} {"text": "I am not embarrassed to admit that, in several undergraduate courses, I relied heavily on Schaum’s Outlines. The additional examples and numerous practice problems helped me master techniques that I struggled with when using only the course textbook and notes. In my years as a college professor, I have recommended similar guides for students who need that additional assistance.\nUnfortunately, Linear Algebra Demystified is not one that I could recommend to students struggling in their first course in linear algebra. The book does contain the topics from a typical first course in linear algebra, but supports the text with few examples and no proofs. The book provides end-of-chapter quizzes and a final exam, but the quizzes have ten or fewer problems and the answer keys give only hints or the final answer with no explanation.\nLinear Algebra Demystified lacks the variety of examples, practice problems and proofs that would be needed for most people to truly master linear algebra on their own. I also doubt that a student who is currently in their first course in linear algebra would find it useful as a supplementary text for the same reason. That being said, Linear Algebra Demystified could be a useful for anyone who has taken a first course in linear algebra and now needs just a “nuts and bolts” refresher.\nSusan Slattery teaches at Villa Julie College in Stevenson, MD.", "label": "Yes"} {"text": "This post is following of above post.\nLet's do time-series regression.\nFirstly, let's make a static time series model\nIn time-series regression, we have to care about serial correlation of the error term.\nFirstly, I load dynlm package and lmtest package.\nBefore testing serial correlation, let's plot error term.\nSince I don't have good experiences, I cannot tell if there is serial correlation or not by just seeing the plot.\nLet's test AR(1) Serial Correlation.\np-value is less than 2e-16, it is alomost 0. So mod_static has serial correlation.\nWe need orcutt package to do Cochrane-Orcutt estimation and I will use cochrane.orcutt() function.\nLet's compare mod_static and mod_orcutt.\nI use stargazer package.\nsd_bci coefficient is negative and statistically significant. It means that when there are large variance of bci, bci level is lower than when varicance is small.\nThat's it. Thank you!\nNext post is\nTo see the 1st post,", "label": "Yes"} {"text": "Question from Jordan, a student:\nIn Chemistry we are doing a lot of problems that are much more math related than anything. One of my questions reads: A certain medallion has a mass of 55.64 g. When placed in 75.2 mL of water in a graduated cylinder,\nthe water level rises and then reads 77.8 mL.\nIs the medallion made of platinum (D=21.4 g/mL) or silver (D= 10.5 g/mL)?\nThis is due tomorrow, and I've already given up on actually getting this worksheet done, so all i really want to know is how to work out a problem like this. I don't even know where to begin, my teacher is about worthless to put it nicely. I have a test over this on Monday and I just really want to know how to work problems like these. Like how can i tell the density by how much water is displaced...oh idk. I just need help please. thank you", "label": "Yes"} {"text": "From X-Plane SDK\nRevision as of 19:55, 20 April 2009 by Admin\nXPLM_API void XPLMWorldToLocal( double inLatitude, double inLongitude, double inAltitude, double * outX, double * outY, double * outZ);This routine translates coordinates from latitude, longitude, and altitude to local scene coordinates. Latitude and longitude are in decimal degrees, and altitude is in meters MSL (mean sea level). The XYZ coordinates are in meters in the local OpenGL coordinate system.\nThe altitude for XPLMWorldToLocal is meters MSL (mean sea level). The XYZ coordinates are all in meters in \"OpenGL\" coordinates - see MovingThePlane for more info.", "label": "Yes"} {"text": "My name is Vitezslav Kala, but people just call me Vita. I’m an associate professor at Charles University (Department of Algebra), currently leading our number theory group.\nPreviously I was a postdoc at the University of Göttingen, working with Valentin Blomer (between 2015 and 2017). During the fall 2014 I was a postdoc at the Max Planck Institute in Bonn.\nI got PhD in Mathematics after 5 years at Purdue University in Indiana; it was my pleasure to work under the guidance of Freydoon Shahidi. I’m a Fulbrighter, a recipient of the International Fulbright Science and Technology Award, which has covered my PhD studies for 3 years.\nI did my undergraduate and Master’s studies in math in Prague at Charles University, Faculty of Mathematics and Physics, Department of Algebra. Originally I’m also from the Czech Republic (from a small village with a long name Doubravice nad Svitavou).", "label": "Yes"} {"text": "GRAB THE BIG SALE OFFER! USE CODE - PPLK10 & GET 10% OFF. HURRY UP!! COUPON CODE PPLK10 APPLIED !\nPrint on demand\n24x7 customer support\nSee What Our Happy Customers Have To Say About Us!\nThese Maths t-shirts are amazing. Really comfortable to wear and make easy moves. Even affordable and fits my pockets. PrintShop is a great site to shop for such stuff.\nI love PrintShop. These maths t-shirts just got delivered to my house. I must say the delivery timing is perfect and suits my busy schedule. Also, these maths t-shirts got all my equations right.\nVery happy to welcome these math t-shirts to my wardrobe. These t-shirts by PrintShop are really nice in fit, fabric and also reasonable in prices. I am going to shop from this site\nPrintShop is a cool website I should say. Even these maths t-shirts are so cool and any person loving maths or not loving maths is going to like it.", "label": "Yes"} {"text": "Getting to the heart of what motivates students\nMiddle school is a critical time for students as they explore more advanced concepts like number sense and operations, geometry and spatial sense, data analysis, measurement, probability, and others. Students are also transitioning into adolescence. South's teachers don't just help students learn the various skills and knowledge required for success later in their educational lives, they help students understand the physical and cognitive changes the students are undergoing.\nOur teachers are all about motivating students to try new things, consider new ideas, and understand differing perspectives so that they learn to think critically and discover their full potential. As educators, they understand students learn in different ways and are resourceful in discovering what drives each student.", "label": "Yes"} {"text": "This preview shows page 1. Sign up to view the full content.\nUnformatted text preview: combined with 4 liters of water which contains y grams ( y is less than 2) of salt per liter to yield a solution with 2 grams of salt per liter. 4. Find the linear approximation of f ( x ) = x 2 e 3 x at x = 2. 5. A steel bar is initially at a temperature of 550 ◦ C and cools down according to Newton’s law of cooling. The temperature of the surrounding is 50 ◦ C. Initially the steel bar is cooling at a rate of 20 ◦ C per minute. What was the temperature after 20 minutes?...\nView Full Document\nThis note was uploaded on 12/27/2011 for the course MATH 5B taught by Professor Rickrugangye during the Fall '07 term at UCSB.\n- Fall '07", "label": "Yes"} {"text": "Scientific Notation III\nIn this scientific notation worksheet, students solve 10 problems where they multiply and divide numbers using scientific notation and they express their answers with the proper number of significant figures.\n9th - 12th Math 14 Views 49 Downloads\nScientific Notation and Significant Figures with Math Make-Up Test\nIn this scientific notation and significant figures learning exercise, students perform mathematical calculations such as addition, subtraction, multiplication and division and express their answers with the proper number of significant...\n10th - 12th Science\nStudent Workbook: Number Sense\nWhat a great resource. More than just a worksheet, this packet also includes examples and notes at the beginning of each section. The material covers all of the main standards in pre-algebra and can also be used for parts of an Algebra I...\n8th - 11th Math CCSS: Adaptable\nAP Physics 1 and 2 Inquiry-Based Lab Investigations\nHave you ever wondered what type of AP Physics investigations The College Board wants? This is the guide for you! Sixteen labs covering both Physics I and II will get you started and inspire you to meet the requirement of 25 percent of...\n11th - 12th Science CCSS: Adaptable\nRegents High School Examinations: Integrated Algebra\nIn this integrated algebra worksheet, students solve problems dealing with, but not limited to, probability, scientific notation, distance, time, functions, geometry, number sense and statistics. This thirty-seven page worksheet...\n9th - 11th Math", "label": "Yes"} {"text": "Simple utitlity to convert your PDF documents into Word formats (DOC and RTF).A virtual rubix cube game, programmed to help novice cubers learn to solve it. Additional titles, containing solve rubik s cube telugu pdf. rubik s cube solver 3x3 pdf. Linked Keywords These are the linked keywords we found.Gallery images and information: Rubik S Cube Solver 3x3 Pdf. pic source Software to Solve Rubi 550 x 436 png 48kB. Rubiks Cube 3x3x3 solution. Notation: L: Turn on the left side clockwise R: Right side B: Back side F: Front side U: Upper side D: Down side M: Middle row (like L) L B F U D M: Turn counter clockwise.Repeating this algorithm until you solve all the yellow edges! We have developed a Rubiks Cube Solver (RCS) that will solve a standard Rubiks Cube using the Thistlewaites Algorithm.With RCS, solving that pesky Rubiks Cube is as simple as pressing buttons on your keyboard. The Rubiks Cube is a cube consisting of sides with individual pieces on each The ) Mathematical solution to x rubik by Professor W D Joyner PDF The Mathematics of the Rubik s Cubeweb mit edu sp rubik pdf PDF How to solve a Rubik s Cube Think Maths think maths. Rubik 2x3x3 merupakan rubik yang unik dan memiliki nama lain rubik donimo.Solving a Domino Cube is easier than a classic 3x3x3 solution because it has less pieces and you dont have to worry about the orientation either. Rubiks Cube Patterns - Cube in a Cube in a Cube - 3x3x3 Patterns - Duration: 4:19.How to Solve a 3x3x3 Rubiks Cube: Easiest Tutorial (High Quality) - Duration: 23:02. Noah Richardson 23,190,534 views. 27.10.2017 easiest way to solve a 3x3x3 rubiks cube how to solve the solution rubik cube 3x3x3 pdf rubiks cube! this method is widely known as layer-by-layer (lbl), and can be used to solve. 2a1) comply with wca regulations.\nsuresh vasa 16:02 5 SIMPLE moves to EASILY solve the Rubik u0027s CubeVTV TET 1:39 How to solve Rubiks Cube with just 2 simple moves!: This is the easiest way to solve the 3x3x3 Rubiks cubeBut, no doubt you need to start with a solved Rubiks cubeWith this method The online Rubiks Cube solver calculates the steps needed to solve a scrambled Rubiks Cube from any valid starting position. Enter the colors of your puzzle and click the Solve button. Xoay rubik nhanh nht th giiNhng ngi gii rubik nhanh nht th giiGii rubik mt tay nhanh nht th giiGii rubik bng chn nhanh nht. 5 SIMPLE moves to EASILY solve the Rubiks Cube - Learn in 15 minutes Tutorial. Choose a layer to solve and make a cross on it. A correct cross means the other face of the piece matches the center color of the other face.Congratulations, you have solved a Rubiks cube! The first step of the beginners method to solve the 3x3 is to visualize the Rubiks cube in the three dimensions. It is not as easy as it looks like. When you see the 3x3 cube, you need to stop thinking it is just colors moving around, that should be randomly mixed.And Sayings Similiar Cute Cousin Quotes inside I Love You Cousin Quotes.\nVia quotespicky.com I Love My Sister Quotes For Facebook | Original Pdf Solving Rubiks 2x2x2 With 3x3x3 Sequences. A completely solved 3x3x3 cube except for two adjacent corners exchanged is not possible due to parity considerations that is, if just two adjacent corners are interchanged, then it must be that the edges are not completely solved. There are many methods for solving a rubiks cube Basic principle is to solve it layer by layer(there are three layers in 3X3 cube) There are 3 types of piecDesigned for beginners, it even has a download able pdf and inspiration stories of successful solvers! Rubiks Cube Tutorial. Method Overview This is a layer-by-layer method that aims to solve the cube using minimal memorization and intense thinking. This method is broken down into seperate and distinct subsets each with a clear and obvious goal. More \"rubik s cube 3x3 solve\" pdf. Advertisement.Simplest Tutorial for Solving the 3x3 Rubiks Cube (Learn in 15 minutes) (Hindi ) Best Rubik Cube Guide 2015 - How to lube a 3x3 rubix cube. How To Solve Rubik S Cube 4x4 Pdf - how to make a rubik u0027s cube turn better with pictures wikihow.how to solve rubik s cube 4x4 pdf wooden rubik u0027s cube gifts to play pinterest. All Solution Guides Mosaic Templates -- 3x3 36-100 Cubes -- 3x3 225-400 Cubes -- 3x3 600 Cubes -- 2x2 48-90 Cubes -- 2x2 180 Cubes Non Academic Mosaic Guide Lessons Competitions Curriculum Teach to Solve Certificates 2x2 Spanish.Learn to Solve the Rubiks Cube Curriculum. Teach you to solve Rubiks Cube on your Windows 8 device. Free. Publisher: R.S.C Downloads: 51. Rubiks Cube Fast Solution Tutorials - Best Quick Rubix Solving Guide For Advanced Beginners. 1.99.\nFollow Us: Back. GALLERY: 3x3 Cube Solve Pdf. Loading The biggest rubiks cube ever, being solved by a computer. Please watch the new updated video instead (unless you really enjoy YouTubes AudioSwapTags: How To Solve A Rubiku0027s Cube 2x2 Algorithm, How To Build A Rubix Cube For Beginners, How To Build A Rubix Cube In Rubiks cube patterns. Contacts.One more about Rubiks cube. Patterns for Rubiks cube Touch Rubiks cube Rubiks cube for blinds Lego robot that can solve a Rubiks cube The simplest Rubiks cube pattern. Rubiks Cube Solver. Ready to solve! Next.Drag or swipe the cube to rotate it. When finished hit the \"Solve\" button and a step by step solution will be displayed to you. IT Is that easy Share Rubikscube3x3solution-en.pdf.All materials on our website are shared by users. If you have any questions about copyright issues, please report us to resolve them. Learn how to solve a Rubiks Cube within fifteen minutes! Having trouble with the third layer? Check out the slower, clearer18. 1000 x 1000 x 1000 Rubik-u0027s Cube Solve. Published: 4 years ago. Duration: 1:01. PDF Rubiks Cube 3x3 Solution Guide. Definitions of rubiks cube pieces. The parts: edge pieces. Pieces with two (2) colors.3x3 Solving Guide | Rubiks Official Website - Rubiks Cube. How to solve the 3x3 Rubiks cube. Feliks Zemdegs tied the Rubiks Cube World Record. Changes to the World Cube Association Regulations in 2018. New Rubiks Cube Solver Update.Learn. Solve. Rubiks Cube shops. Cube 3X3X3 rubik PDF solution. Originally called the magic cube.Web oficial de la universidade da corua. there are many different methods solution rubik cube 3x3x3 pdf for solving the rubiks cube. pattern puzzles are a sub-class of put-together puzzles. solve rubik cube 3x3 greek.rubix is a Rubiks cube system for the Linux/X11 operating system. Additional titles, containing pdf rubik cube 3x3. Project Report.pdf. README.md. cubemap.png. rubiks.pl.Prolog solution for solving a 3x3x3 Rubiks Cube. Authors. Trent Rand . Robert Dinaro. Full Download How To Solve A 3x3x3 Rubik S Cube Easiest Tutorial High Quality VIDEO and Games With Gameplay Walkthrough And Tutorial Video HD.[Download] EASIEST WAY TO SOLVE THE RUBIK S CUBE UPDATED 3x3x3 BEGINNER TUTORIAL. 3x3 Solving Guide | Rubiks Official Website - Rubiks Cube. How to solve the 3x3 Rubiks cube. We find that using both the video and PDF solution guides together is a really 3X3 solution PDF cube rubik guide. It took Ern Rubik one whole month to learn how to solve his first Rubiks cube. How to Play With a Rubiks Cube. Desde que el profesor rubik cube 33 solution guide pdf Ern Rubik lo. how to solve 3x3 rubik cube pdf news, articles, pictures, videos and discussions.How To Solve 3x3 Rubik Cube Pdf disambiguation Thats not to say that solving the cube doesnt make you a hero. We believe that anyone who can solve the Rubiks cube is a genius.We find that using both the video and PDF solution guides together is a really helpful tip. Click here to scroll down to the PDF guide. A really simple solution, 3x3x3 solution rubik cube 3x3x3 pdf YuXin Little Magic There are many different methods for solving the Rubiks cube. Solution is much the same as 333 cube except additional (and relatively simple) algorithm(s) 3 Rubiks cubes solved Underwater in 1 minute!How to solve the 1x1 Rubiks Cube. Here is my advanced method for solving the 1x1x1 that Ive developed over the years. I hope this method makes solving this puzzle somewhat easier for you guys :) My original video was met It took Erno Rubik (the inventor of the Rubik s Cube) one month to learn how to do How To Solve A Rubik s Cube Rubik s Official Website This six step guide will take you through everything you need to know when it comes to solving the Rubiks Cube. More \"rubik s cube 3x3 solve\" pdf.How To Solve A Rubiks Cube For Dummies Part 3x3x3 Algorithms Here well be solving the 3x3 puzzle cube using a more time efficient way to Easiest Way. Feb 09, 2017 learn to solve the solution rubik cube 3x3x3 pdf 33 cube with an easy, straightforward method! the chance of solving this three-dimensional puzzle is. web oficial de la universidade da corua. rubiks cube is a Essentially, this involves reducing the cube to a state that can be solved as if it were a 3x3 cube, by solving the center pieces and pairing up the matching edge pieces.Congratulations on solving the 4x4 Rubiks cube! Rubiks cube is a widely popular mechanical puzzle that requires a series of movement sequences, or algorithms, in order to be solved.However, this hub likely wont make much sense or be very useful unless you already know the basics of how to solve a Rubiks Cube. This is how you solve a 3x3x3 Rubiks Cube every time. Show more.This is best tutorial about solving rubiks cube people, you are just stupid and you dont know how to solve it,he explained everything! How to solve a Rubiks Cube - Think Maths. There are three kinds of smaller cube on the Rubiks cube: corner piecesRubiks Cube solutions in PDF. This is all you have to know before starting to solve the Rubiks. How To Solve Rubiks Cube in 30 Seconds BRAND NEW METHOD Part 1.suresh vasa 16:02 5 SIMPLE moves to EASILY solve the Rubik u0027s Cube: Worlds Hardest Rubiks Cube to Solve - Two Face Cube. How to solve a rubiks cube, for lazy people. Speed Solving Cube. Andrew Mayne - Specter Cabinet.Notes on Rubik s Magic Cube. 4 Look Last Layer. Banachek - Psychokinetic Touches. 46761195-banachek-psycho-kinetic-time. pdf. How To Fix The Rubix Cube - how to solve a rubik u0027s cube 13 steps with pictures.how to fix the rubix cube - my month long quest to solve a rubik u0027s cube in under 20 seconds.", "label": "Yes"} {"text": "As countries across the world take steps to stop the spread of the COVID-19 virus, normal school routines are being disrupted. Knowre Math can be a critical resource in helping to ensure that math learning is still occurring at home when students are not able to attend school in-person.\nAdaptive learning. Personalized learning. Differentiated instruction. Online learning. Hybrid learning. The \"flipped\" classroom. Blended learning.\nWith both education instruction and technology changing so frequently, sometimes it can feel difficult to keep up with the trends and terminology.\nLet's take a deep dive into blended learning, including:\nWhen I started teaching in 2010, the technology in my classroom and school building was extremely limited.\nI remember visiting another school during a professional development session and being amazed by their handheld clickers and by a system in the corner where students could feed in a scantron and immediately receive a set of questions printed out just for them.\nThe Knowre Math iPad app is now available for download on the App Store.\nKnowre Math for iPad transports students into a math learning environment that has been intentionally designed to support and engage them.\nCurriculum on the Knowre Math app spans Grade 1 through Algebra 2. The lessons in each curriculum are comprised of instructional videos and intentionally sequenced practice and application questions which include interactive in-question supports.\nSchool districts, now more than ever, are relying on technology in the classroom. Where in the past there may have only been a few options to choose from, today the number of options is vast. Last school year, U.S. school districts accessed an average of 703 different EdTech tools every month. This represents a 28% increase over the 2017-2018 school year. With so many tech tools available, how can teachers go about deciding the what, when, and how of tech tool integration? As with many things in the classroom, the answer actually begins with a question, or in this case, 5.\nHere are 5 questions to consider when integrating technology into lesson plans in order to most effectively address student and classwide goals:\nWhen you consider how to make digital math instruction equal and fair for all students, you are likely referring to the concept of digital mathematical equity. Initially, digital mathematical equity may appear to be simple and straightforward. However, as you scratch the surface, you can quickly begin to see how complicated reaching digital mathematical equity has become.\nDefining Mathematical Equity\nFirst, it is important to define the two components of digital mathematical equity: mathematical equity and digital equity. According to The National Council of Teachers of Mathematics, creating, supporting, and sustaining a culture of mathematical equity can be defined as:\nKnowre is excited to introduce the new Knowre Math!\nKnowre Math is an online core supplement for Grades 1-12 that identifies and addresses individual learning gaps, helping teachers personalize learning for all their students.\nHere’s a preview of what you can expect when you log in. We are thrilled that we are finally able to share it with you.\nKNOWRE ANNOUNCES THE LAUNCH OF KNOWRE MATH, A DIGITAL MATH PRODUCT FOR SCHOOLS AND DISTRICTS THAT NOW INCLUDES GRADES 1-12\nNew York, NY (August 12, 2019) – Knowre, an award-winning education technology company that builds personalized learning products and technology for students around the globe, today officially announced the launch of Knowre Math, a Grade 1–12 online core supplement for schools and districts. Knowre partners with schools and districts to bring Knowre Math to classrooms, with the goal of ensuring all students are successful.\n“You’ll have a great time,” the visitor center greeter said as we headed towards the trail in upstate New York. The hike was described as fun, but challenging, and we figured, despite rarely ever hiking, that we’d all be fine. Countless hours later we descended the trail thankful to be alive. Simply put, the trail was much more difficult than we could have ever imagined. While there were optional ladders and ledges placed at certain parts, in others we couldn’t figure out why these supremely helpful elements were frustratingly missing.\nIt is important when tackling a challenge or learning something new that there are certain supports in place to maximize desired outcomes, decrease frustration, and maintain motivation (at one point on the trail I told my friends it was best they just leave me there). Without the availability of these critical elements it’s all too easy to give up.\nAs an education technology company, we work diligently to create innovative and supportive products to help students learn and teachers teach. From our “Walk Me Through” technology to our personalized recommendation algorithm, Knowre develops features to support student learning in order to promote self-efficacy and student agency. We believe that all students can be successful - that students don’t hate math, they hate being frustrated. If teachers had the luxury of working one-on-one with all students all the time, students would receive the support we know they need and deserve.", "label": "Yes"} {"text": "I try to do the following in Magma:\nP< x, y > := PolynomialRing(ComplexField(), 2);\nI := ideal < P |\nx + y>;\nI got the error: \"Runtime error in ideal<...>: Base ring must be an exact field or an Euclidean ring.\" I don't really understand what this is about. Could someone please explain?", "label": "Yes"} {"text": "Unsteady Elastic-Diffusion Oscillations of a Simply Supported Kirchhoff Plate Under the Distributed Transverse Load Action\n- 21 Downloads\nWe study unsteady vibrations of a isotropic Kirchhoff plate considering mass transfer. In the general case, the plate is subjected to tensile and shear forces as well as bending moments and torque. Densities of diffusion fluxes are also defined. For the problem formulation, we use the coupled elastic diffusion continuum model in a rectangular Cartesian coordinate system. Further, the unsteady model of an elastodiffusive Kirchhoff plate is obtained using the d’Alembert variational principle. The solution is sought in integral form. To find the Green’s functions, we use the Laplace integral transform and Fourier series expansion.\nKeywordsElastic diffusion Coupled problem Unsteady problem Integral transformation Multicomponent continuum Kirchhoff plate Green’s function\n- 1.Zemskov, A.V., Tarlakovskii, D.V.: Model nestatsionarnykh uprugodiffuzionnykh kolebaniy plastiny Kirchhoffa. XII Vserossiyskiy syezd po fundamentalnym problemam teoreticheskoy i prikladnoy mekhaniki: sbornik trudov v 4 tomakh. T. 3: Mekhanika deformiruyemogo tverdogo tela, pp. 906–909, Ufa, RITs BashGU (2019). In Russian). https://doi.org/10.22226/2410-3535-2019-congress-v3", "label": "Yes"} {"text": "1: Double a = new Double(Double.NaN); 2: Double b = new Double(Double.NaN); 3: 4: if( Double.NaN == Double.NaN ) 5: System.out.println(\"True\"); 6: else 7: System.out.println(\"False\"); 8: 9: if( a.equals(b) ) 10: System.out.println(\"True\"); 11: else 12: System.out.println(\"False\"); I have not read the stuff about NaN. The above code is printing False True. What gives? Is there anything else that I need to know about NaN?\nNAN (not a number) is unordered. Comparing it to any other number, including itself (using the == comparison operator), always yields false. If you use the equals() method overridden by double from the object class it returns true because NAN is a constant. I'm not sure if my logic is accurate...but I was looking over the same subject this evening. Also, I was thinking that constants are stored on the heap. If that's the case...can someone confirm. Thanks.\nNaN is unordered, so the numerical comparison operators <, <=, >, and >= return false if either or both operands are NaN (�15.20.1). The equality operator == returns false if either operand is NaN, and the inequality operator != returns true if either operand is NaN (�15.21.1). In particular, x!=x is true if and only if x is NaN, and (x=y) will be false if x or y is NaN.JLS Floating-point operators produce no exceptions (�11). An operation that overflows produces a signed infinity, an operation that underflows produces a denormalized value or a signed zero, and an operation that has no mathematically definite result produces NaN. All numeric operations with NaN as an operand produce NaN as a result. As has already been described, NaN is unordered, so a numeric comparison operation involving one or two NaNs returns false and any != comparison involving NaN returns true, including x!=x when x is NaN. JLS\nAlso the API for the Math class\nJavaBeginnersFaq \"Yesterday is history, tomorrow is a mystery, and today is a gift; that's why they call it the present.\" Eleanor Roosevelt\nDoes this tiny ad smell okay to you?\nBuilding a Better World in your Backyard by Paul Wheaton and Shawn Klassen-Koop", "label": "Yes"} {"text": "I'm pretty sure that I am misunderstanding something here, but I'm not sure what.\nHow can you make sense of \"equinumerosity\" in Hume's Principle in a logicist approach to math, without first having functions defined?\nYou want to be able to derive the natural numbers from principles of logic, and so you rely Hume's Principle as a type-lowering abstraction principle:\nThe \"number\" of things with property P is the same as the \"number\" of things with property Q if and only if the Ps and Qs are equinumerous.\nI figure I just don't understand how \"equinumerous\" is being used here. Is it required that equinumerosity is witnessed by a bijection, and if so how can \"function\" be defined without ordered pairs?", "label": "Yes"} {"text": "MATE 630 - Geometric Thinking\nCredit Hours: 3\nLecture Hours: 3\nLab Hours: 0\nAn in-depth view of geometric concepts that undergird students’ conceptual understanding of geometric thinking such as the Van Hiele Model. Research with an emphasis on the demonstration of best practices and creative strategies to support student learning regarding geometric thinking will be explored.\nPlease click here for Book Information", "label": "Yes"} {"text": "Please make a book on Aryabhatta.\nThere is a text called aryabhatia on Archive.org written by him.\nYou can find all his other books on this site for research.\nHe probably was the first Indian to discover that the earth was round. Though the Greeks knew it around 200BC\nHis contributions to Math and Trignometry are immense\nఅద్భుతమైన నవల.మణిమేఘన పాత్ర అద్భుతం.ఎక్కడా విసుగు లేకుండా ఆహ్లాదంగా చదివించిన నవల.\nanybody can tell me how to download URL?\nwhat is the meaning of రూకలేువ\nKindly let know we want book by cost\nUnable to download", "label": "Yes"} {"text": "Graphical Solutions to Problems in Context\nStudents are required to use a variety of graphs to approximate solutions to contextual problems. Students should be familiar with a variety of functions such as distance–time graphs, exponential and reciprocal graphs. This resource package provides a number of suggestions and activities designed to provide students with the opportunity to develop and practise these skills.\nVisit the secondary mathematics webpage to access all lists.", "label": "Yes"} {"text": "If you're on the lookout for a math tutor in Woodbridge, Ontario to help your son or daughter master a potentially tricky subject, you've come to the right place. From personal math tutoring and math homework help to Math Edge, Sylvan is pleased to offer three great math programs — all of which deliver big smiles and even bigger academic results — so you can choose the one that’s right for your child’s needs.\nSuccess Starts with Math Tutoring\nAt Sylvan, you'll soon see that there's nothing like seeing your child learn how to think independently and become a more confident and capable learner. Our certified teachers help ensure learning is enjoyable — as it’s meant to be!▼\nWe Can Help in All Areas of Math, Including:\n- Addition and Subtraction\n- Multiplication and Division\n- Algebra 1 & Algebra 2\n- Probability and Statistics\nOur Selection of Math Programs\nPersonal Tutoring (Grades 1-12)\n- An approach to learning that is exciting, engaging and personalized to your child’s needs\n- “Cool” learning techniques, including interactive iPad® lessons and great rewards\n- Helpful tutors who are dedicated to teaching, motivating and inspiring\nSkill Practice Programs (Grades 1-6)\n- Exciting programs that increase math proficiency, accuracy and speed\n- Fun and budget-friendly courses; convenient monthly schedules\n- Students are challenged to become independent problem solvers\n- Enriching, hands-on activities\nHomework Help (Grades 1-12)\n- Focused, just-as-needed homework help that's ideal for challenging assignments or test preparation\n- We provide support for specific topics and concepts, whether it's fractions, algebra or geometry\nDon't Miss Out on Our Special Offer!\nThe Sylvan Skills Assessment® is designed to accurately identify your son or daughter’s personal strengths and needs, pinpointing the precise areas our expert tutors will work on for greater success. For a limited time, you can get started for just $95*! Contact us now to learn more!", "label": "Yes"} {"text": "...I am a recent Harvard graduate, with a degree in Biology and perfect scores on the SAT I. I tutor SAT Writing, Reading, and Math, Biology, Chemistry, Physics, Math, Statistics Introductory and AP Classes,... read moreSee Tutors Like This\nSan Francisco, CA\n...undergraduate at Harvard. I've taught every high school math class and been tutoring one-on-one since 1993. My tutoring is never one-size-fits-all but always individualized for each new student I meet.... read moreSee Tutors Like This\nWyzant is the world's leading network of private tutors. If you want to learn SAT in Pinole, we can help you find your ideal tutor. Wyzant makes it easy to get SAT help from experts; choose your tutor by reading ratings and reviews written by students and parents just like you.\nWe're here to help you find the best fit. After meeting with your SAT tutor, you can also find tutors for similar subjects in Pinole.\nWyzant's nationwide network makes it easy to find local experts no matter where you live. Here are areas near Pinole where you can find SAT tutors:\nGet SAT help anytime! We only accept the best online SAT tutors into our network. You can take regular lessons or schedule last-minute ones to get homework help right when you need it.", "label": "Yes"} {"text": "This paper presents a numerical comparison between algorithms for unconstrained optimization that take account of sparsity in the second derivative matrix of the objective function. Some of the methods included in the comparison use difference approximation schemes to evaluate the second derivative matrix and other use an approximation to it which is updated regularly using the changes in the gradient. These results show what method to use in what circumstances and also suggest interesting future developments.\n|Pages (de - à)||839-851|\n|Nombre de pages||13|\n|journal||Mathematics Of Computation|\n|Numéro de publication||143|\n|Etat de la publication||Publié - 1978|", "label": "Yes"} {"text": "The myoglobin unit converter calculator is used to convert myoglobin concentration between the units of:\n- μg/L [ng/mL]\nMedical laboratories issue results in different concentration units. The calculator is to facilitate the conversion of myoglobin concentration. It has been developed for patients, doctors, laboratory diagnosticians, midwives, nurses and anyone who wants to convert myoglobin concentration.\nMyoglobin unit converter calculator – calculate it\nTo convert the myoglobin concentration, enter the appropriate value and then select the unit. The calculator will calculate the concentration of myoglobin, just click the button\nCalculator of myoglobin units – formulas\nIf you do not want to use the calculator, but want to convert your myoglobin concentration – below are the formulas you need. Additionally, I present example calculations.\nConvert myoglobin concentration from μg/L [ng/mL] to nmoL/L:\nμg/L [ng/mL] x 0.0571 = nmol/L\nTo convert the myoglobin concentration from 456 ng/mL to nmol/L, the value 456 should be multiplied by 0.0571\n456 ng/mL x 0.0571 = 26.04 nmol/L\nConverting myoglobin concentration from nmoL/L to μg/L [ng/mL]:\nnmol/L / 0.0571 = μg/L [ng/mL]\nIf we want to convert the concentration of myoglobin 23.4 nmol/L to ng/mL, the value of 23.4 should be divided by 0.0571\n23.4 nmol/L / 0.0571 = 409.81 μg/L [ng/mL]\nI cordially invite you to the remaining medical calculators. If you want a new calculator to appear on the site – leave a comment informing! I will be happy to develop something for you.\nDisclaimer: This page is for informational purposes only. Conversion rates have been compiled based on publicly available information. All information should be confirmed and verified. The data on the site is not a substitute for professional medical advice. Any information, result, conversion should be consulted with a doctor.", "label": "Yes"} {"text": "How to adjust the accuracy in graphs ?\n6 views (last 30 days)\nShow older comments\nImene Yed on 26 Jun 2021\nCommented: Imene Yed on 27 Jun 2021\nHi,I plot a graph ,I Wan to display on the graph on each (X,Y) couple, the real value of X ,I mean for exemple my data is like X=388.234565 ,\nin the graph matlab just display the first number after the comma 388.2 which decrease the accuracy of my analysis .is it possible to dissplay the real values of X with several numbers after comma.\nChunru on 26 Jun 2021\nh = plot(rand(10,1));\nh.DataTipTemplate.DataTipRows(1).Format = '%.6f'; % first line of datatip\ndatatip (h,'DataIndex',3); % datatip at 3rd point\nMore Answers (0)\nFind more on Graphics Performance in Help Center and File Exchange\nCommunity Treasure Hunt\nFind the treasures in MATLAB Central and discover how the community can help you!Start Hunting!", "label": "Yes"} {"text": "Notre there are a series of numbers which designate a particular color: RGB, or Red Green Blue, and HEX, for hexadecimal. Both express the amount of the three colors needed to make a particular color, but do so in different ways. How well do you remember numbers in a different base…like 16 is the new 10 (as in what can a computer read?), but the 6 figures also represent RGB amounts. These are only 2 of the alphabet soup of color abbreviations.", "label": "Yes"} {"text": "posted by Joshua .\nWe're doing indefinite integrals using the substitution rule right now in class.\n(integral of) (e^6x)csc(e^6x)cot(e^6x)dx\nI am calling 'u' my substitution variable. I feel like I've tried every possible substitution, but I still haven't found the right one.\nThe most promising substitution:\nso my equation would become\n(integral of) usin(e^6x)\nNow I don't know what to do, because we haven't learned how to the problem like this. I feel like there must be some substitution that will leave me with only one term to integrate, but I don't think I've found it. Suggestions?\nyou are so close\nnow let's do some reverse \"thinking\"\nit looks like you know that if\ny = cscx, the dy/dx = -cscx cotx\nnow what about\ny = csc(e^6x) ?\nwouldn't dy/dx = 6e^(6x)(-csc(e^6x))(cot(e^6x))\n= -6e^(6x)(csc(e^6x))(cot(e^6x)) ?\nNow compare that with what was given.\nthe only \"extra\" is see is the -6 in front, and that is merely a constant, so let's fudge it.\nthen (integral of) (e^6x)csc(e^6x)cot(e^6x)dx\n= -(1/6)csc(e^6x) + C\nI know that your answer is right because it is one of the options on my homework sheet, but I don't think I quite understand how everything cancels out.\nIf we call csc(e^6x) y from the beginning, upon initial substitution we have:\n(integral of) (e^6x)(y)(cot(e^6x))dx\nnow dy/dx= -6e^(6x)csc(e^6x)cot(e^6x)\nHowever, in our integral equation we have dx, not dy/dx, so we need to rearrange this so that we can directly substitute for dx\nwhich would give us dy/(--6e^(6x)csc(e^6x)cot(e^6x)) = dx.\nIf you plug that into our integral, we have\n-1/6 (integral of) y * 1/csc(e^6x) dy\nor -1/6 (integral of) sin(e^6x)y dy\nI know this isn't right, so I feel like I don't properly understand what to do with the dy/dx situation.\nNever mind, I figured it out; because y= csc(e^6x), the ys cancel out, so we are left with -1/6 (integral of) dy, which gives us -1/6 csc(e^6x) + C. Thank you for the help!", "label": "Yes"} {"text": "A series of free seminars is being organised in November by MathWorks , focusing on how MATLAB can help Excel users analyse and visualise data more efficiently.\nDesigned to help accelerate research and reduce development time with MATLAB, the seminars will take place this month in Melbourne, Hobart and Chatswood.\nKey features of the MATLAB seminars:\n- Ways that MATLAB can help overcome limitations and supplement analysis carried out in Excel\n- Live demonstrations provide insight on how MATLAB can be used to access data from various sources\n- Exploring, analysing and visualising data\n- Performing statistical analysis and curve fitting\n- Customising and automating analysis and reporting\n- Application development and deployment\n- Reduction in time spent on the analysis of data, allowing users to allocate more time to innovation\nAndrew Clay, Managing Director at MathWorks Australia says that engineers today are expected to be versatile in handling a greater number of tasks to a higher degree of complexity in less time.\nMATLAB enables users to perform computationally intensive tasks faster than with traditional programming languages.\nHe adds that MATLAB can be used in a wide range of applications including signal processing, image processing, communications, control design, test and measurement, financial modelling and analysis as well as computational biology.\nThe seminars are designed for engineers, analysts and scientists involved in research, data analysis and product development. Prior experience with MATLAB is not required.\nSchedule of the complimentary half-day seminars:\nTuesday, 23 November 2010, 9:00am-12:30pm\nThursday, 25 November 2010, 9:00am-12:30pm\nTuesday, 30 November 2010, 9:00am-12:30pm\nThe MathWorks is a leading developer of mathematical computing software. MATLAB, the language of technical computing is a programming environment for algorithm development, data analysis, visualisation, and numeric computation.", "label": "Yes"} {"text": "Augsburg College was recently selected as a partner in the Minnesota Mathematics and Science Teacher Academy initiative. According to the Minnesota Department of Education, the Academy is a result of Governor Pawlenty’s efforts to improve teacher effectiveness particularly in the areas of math and science.\nThe Academy is comprised of nine regional teacher centers, each including at least one K-12 school district or education service cooperative and one higher education institution. Augsburg is partnering with Resource Training and Solutions in St. Cloud. Augsburg math professor Tracy Bibelnieks is one of three instructors leading the training for the St. Cloud center.\nThe initial goal of the program is to prepare teachers to implement new math and science standards, which will be used beginning with the class of 2015. These standards involve introducing algebra into elementary school lessons. The centers provide training and technical assistance to help teachers implement Minnesota’s content standards, master the use of multiple instructional approaches, and improve skills to diagnose student learning needs using assessment of student performance.", "label": "Yes"} {"text": "1. The problem statement, all variables and given/known data http://img4.imageshack.us/img4/4224/landau.png [Broken] http://g.imageshack.us/img4/landau.png/1/ [Broken] Note: do = 2*pi*sin(x) dx Well, as you can see this is an extremely painful integral. 2. Relevant equations 3. The attempt at a solution I have tried u = cos(1/2x) resulting in: du = -sin(1/2 x) (1/2) dx sin(x) = 2*sin(x/2)*cos(x/2) (n^2 u - nu^2 - n + u)/(n^4 + 2n^2 - 4n^3 u + 4n^2 u^2 - 4nu) (by expanding both the top and bottom, but as you can see it's messy and useless, I'm also dropping the constant because I don't care about them right now). I have no idea what kind of substitution to use for these beast... It evaluates to pi*a^2 with the integration limits 0 to X_max.. Anyone have any idea how to do this by hand? I am tempted to use Matlab, but I really am supposed to do it manually.", "label": "Yes"} {"text": "Where I can see the volume of orders copied to my Slave Account?\nThe \"Meter Icon\" found on the Slave Accounts view shows the volume of orders copied to a specific Slave account and the fees associated with those trades (Fees are only calculated for accounts with a Prepay Plan).\nThe volume calculation displays daily, weekly, monthly, and yearly. To access, go to Slaves > Accounts and click the meter icon.\nWe have to compute the trade volume for 2 purposes: order fees for Prepay plan and volume limitation for the Free Plan.\n# of Orders:\nIt's the total number of open and closed orders copied to a Slave account.\nVolume (EUR) Computation:\nThe volume is always expressed in EUR and is the notional value of the order. Usually, a standard lot is 100'000 units. For instance, 2 EUR/USD lots is equivalent to 200'000 EUR. 1 lot of USD/CHF is equivalent to 89'000 EUR (if EUR/USD rate is 1.1235). The trade copier always takes the current market rate to convert the volume in EUR.\nFees and Prepay:\nThe Prepay fees are computed on a per order basis.\n1 trade = 2 orders (1 open + 1 close)\nFor every 100'000 EUR, the charge is 2 EUR for accounts with a Prepay plan regardless of the traded instrument. The max daily fee is 5 EUR on the Slave.\nMaster(s) Prepay fees are calculated per the number of orders copied.\n.05 EUR per order or .10 EUR per trade (open +close) and a daily fix fee of .1 EUR.\nFor example, 10 orders of 0.5 lot = 5 lots => 5 lots * 2 EUR = 10 EUR (but capped to 5 EUR max per day per slave)\nFor accounts with a Flexible Plan, fees are not accounted for as this plan is set up for unlimited trading (without cap). The # of Orders and Volume (EUR) are displayed for informational purposes only.", "label": "Yes"} {"text": "What exactly is the meaning of math? When you ask this question of ten each person, you will likely get ten different answers. It can be difficult to define math, nevertheless the fact in the matter is, it is very important discover how to use math to create sense on the planet around us. Coming from a very early age, kids are surrounded by math in fact it is around those who care for them to foster their mathematical growth by providing all of them with a number of opportunities. Luckily, there are various ways to do this. You might orally count together with your child or even your students, you might introduce numbers and supply youngsters using the names of those numbers and ultimately discuss the correspondence involving the oral counting and the actual number. Depending on a child’s development, you will discover various strategies to encourage math understanding and growth.\nTeaching With Grade 2 Number Patterns Worksheets\nYou will find that using our worksheets to train with is an excellent option. Whether you are teaching one or twenty five children, you are able to print off of the worksheet which you feel will be perfect for their demands. Then, you may demonstrate to them how to complete it while counting out loud. This provides you with an opportunity for your students to find out the best way to count from a given number and then crafting the numbers. This visualization of the procedure is extremely important for pupils. While some will catch on faster than others, you will probably find that you should provide additional experiences for a few of the students you deal with. This means you can make use of the worksheets with your whole class, a small group, or simply one student who needs support or enrichment.\nGrade 2 Number Patterns Worksheets Enhance Learning\nAlso you can provide students with a solid math foundation is by introducing them to Grade 2 Number Patterns Worksheets. There are several advantages to this kind of resource for you and the students. A very important factor that is great about the subject is that they are easy to use. We provide you with different choices so you are able to target instruction. For instance, should you be working on counting within ten, you can find worksheets that start out with one and go to ten or people who begin with five and check out ten. Or, should your students can count the smaller numbers and require practice with counting inside the hundreds or thousands, we have Grade 2 Number Patterns Worksheets for your, too. The ability to start in a given number and continue counting from you will discover a essential skill. We supply you with a helpful tool which can be used based on your child’s or students’ abilities and desires.\nAnother advantage of our own worksheets is the fact students enjoy doing them. With this simple to use format and various options, as a parent or teacher, it is possible to select the best starting point for that children you might be working with. By doing this, this assists them become successful within their counting experience. And once students are successful, they discover the tasks they may be doing to get fun. After your child has mastered counting with all the worksheets as well as other experiences you provide them, you may continue counting larger numbers and providing all of them with the chance to do so.\nGrade 2 Number Patterns Worksheets Provides Opportunities\nBeing a teacher or possibly a parent, you realize that children vary within their abilities. With this worksheets, you can find one which targets the wants your youngsters have. In case your student is tired of their learning and needs difficult, you can use worksheets to push them to count higher than they are currently doing. Or, in the event you child is being affected by grade-level expectations, you will discover worksheets which provide the practice needed to continue on your journey of finding out how to count.\nYou can find our worksheets are of help for a number of reasons. They offer your students with the learning and rehearse they have to continue their math growth. Irrespective of what level your students are, you will discover the most effective counting worksheets to offer practice or enrichment for college students of all the levels. If you don’t find what exactly you need, give us a call and tell us the way we can help. We are always very happy to assist in improving math learning.", "label": "Yes"} {"text": "Experienced Tutor will help you succeed\n- $40 / h\n- 25 miles\nI am a native Farsi (Persian) speaker, born and raised in Iran, where I still go every summer to visit my family. I became a Farsi teacher three years ago and I worked for some companies as an interpreter, also I taught Farsi to different persons and ages. I also received my bachelor's degree in Mechanical Engineering so I am a proficient in math and physics because mechanical engineering is based on physics and is really involved with math. I have tutored various students with different rang...", "label": "Yes"} {"text": "Multivariable Calculus Tutors in Amesbury, MA\nFind Private & Affordable Multivariable Calculus Tutoring in the Amesbury Area!\nBoston University - Current Undergrad, Biomedical Engineering\nMassachusetts College of Liberal Arts - BA, Mathematics\nMaster degree in math at Wayne State University. Bachelor degree in both math and physics at Macalester College.\nB.S.E Engineering at University of Michigan GPA: 3.7/4.0\nCornell University - P h D in Finance. Masters in Economics and Statistics. BS Math ~ Call or Text . ...\n2008-2011, SUNY Stony Brook, Stony Brook, NY, GPA 3.97, M.S. in Marine and Atmospheric Science, Focus: Fisheries 2007 graduate of SUNY...\nBoston University, Education and Mathematics Major, 3.6 GPA\nBachelor's Degree in Mathematics, University of Massachusetts Lowell Matriculated for Master's Degree in Mathematics, Teaching,...\nSenior Mathematics Major at University of Massachusetts Lowell, 2015 Graduate", "label": "Yes"} {"text": "A nice problem that helped me to learn about the flexibility of MATLAB's built-in functions\nGiven area find sides\nWhat number has this problem?\nDimensions of a rectangle\nSum of odd numbers in a matrix\nArea of a disk\nGenerate Golomb's sequence\nSpiral Out - 01\nSpiral Out - 02\nFind the treasures in MATLAB Central and discover how the community can help you!\nChoose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select: .\nYou can also select a web site from the following list:\nSelect the China site (in Chinese or English) for best site performance. Other MathWorks country sites are not optimized for visits from your location.\nContact your local office", "label": "Yes"} {"text": "Published at Saturday, October 05th, 2019 - 05:18:36 AM. Kids Worksheet. By Yolanda Charrier.\nIf you do want to produce your own worksheets and do not have the Microsoft software, you can download free tools like OpenOffice or use an online word processor or spreadsheet such as the free Google Docs which help you do similar tasks. You just need to create a table with as many rows and columns as you need and then type in some numbers before printing it off for your children to practice - depending on the level of complexity choose single digits or multiple digits. If you are not sure what level to start at, aim low, start with easy numbers and see how your child goes, the self-esteem boost they will get from acing the first worksheet will give them confidence for more difficult math problems.\nMost of even beginning algebra depends on being able to do two things--one, doing multiplication quickly and accurately in your head, two, knowing how to add, subtract, multiply, and divide fractions. You might remember a concept in algebra called factoring. Factoring means breaking up into parts that are multiplied together to give you the whole. You can factor numbers. For instance, 6 factors into 2 and 3--2x3 =6. In elementary algebra we learn to factor expressions such as x^2+4x+4. This particular expression is easily factor-able into (x+2)^2. If this does not make any sense to you, do not worry about it. Just trust me, if you do not know your multiplication tables, you can not factor. If you can not factor, you will not do well at all in algebra, geometry, or trigonometry.\nAny content, trademark’s, or other material that might be found on the Rafahpundits website that is not Rafahpundits’s property remains the copyright of its respective owner/s. In no way does Rafahpundits claim ownership or responsibility for such items, and you should seek legal consent for any use of such materials from its owner.", "label": "Yes"} {"text": "Chuck It! is a fun and fast paced game that builds fluency and problem solving skills. This game is quick and easy to prep and will become a part of your classroom routine in no time! This is a great cooperative way to warm up for a Math lesson, end a lesson when you still have a few minutes before the bell, or to use for an entire Math Lesson to build those fluency skills in addition, subtraction, multiplication, and division! I have used this game for years in 3rd, 5th, and 7th grade classrooms! The children beg to play!!!", "label": "Yes"} {"text": "Calc 4.4b The Average (Mean) Value of a Function\nH.S. Math Instructor\n9 years ago\nThe Average (Mean) Value of a Function\nAre you sure you want to remove this ShowMe? You should do so only if this ShowMe contains inappropriate content.\nAvailable with ShowMe Premium subscription\nShare ShowMe by Email", "label": "Yes"} {"text": "The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:\nAnswer: Option D\nLet the speed of two trains be 7x and 8x km/hr.\nSpeed of first train = (7 x 12.5) km/hr = 87.5 km/hr.", "label": "Yes"} {"text": "A Purely Visual Guide to Completing the Square\nThis video is to help people to visualize what exactly it is they're doing when they solve quadratic equations by completing the square. If there's anything in this video that is difficult to... More...\nHelp TeacherTube make this resource easier to find.\nSuggest a New Learning Standard Alignment", "label": "Yes"} {"text": "Saturday 29th, September 2018 16:54:42: PM. preschool worksheets.. Debra Morales.\nMultiplication property of exponents worksheet math worksheets with v1 properties practice. Properties of exponents worksheet answers si inc com. Quiz worksheet properties of exponents equivalent expressions preschool worksheets multiplication.\ndivision of exponents division properties of exponents worksheet answers key pdf properties of exponents quiz pdf free division properties of exponents examples worksheet properties of exponents quiz worksheet pdf multiplying and dividing exponents multiplication properties of exponents quiz answers\nSaturday 29th, September 2018 15:48:05: PM. preschool worksheets.. Hugo Cunningham.\nSolving two step equations worksheets elegant inequalities preschool compound worksheet absolute value problems. Solving absolute value equations answers math uniquee the preschool worksheets worksheet choice image of. Mathrksheetsbsolute value number linerksheetwesome inequalities graphing pics on solving absolute equationsrksheet equation.\nsolving absolute value equations worksheet and answers absolute value inequalities solving absolute value equations problems absolute value equations examples solving absolute value equations worksheet answer key 1 2 solving absolute value equations worksheet pdf answers key compound inequalities worksheet pdf solving compound inequalities worksheet with answers\nSaturday 29th, September 2018 12:27:40: PM. preschool worksheets.. Mamie Turner.\nAmazing dimensional analysis worksheetr key metric conversion pdf examples andrs chemistry. Preschool worksheetsimensional analysis worksheet answer key amazing chemistry metric conversion with. Elegant chemistry unit worksheetonal analysis answers preschool worksheets unique 8th grade density best mass volume triangle.\ndimensional analysis word problems fun dimensional analysis problems examples dimensional analysis worksheet pdf 7th grade math dimensional analysis worksheet answer key dimensional analysis worksheets what is an answer key in word what is an answer key in spanish fun dimensional analysis worksheet with answers key\nSaturday 29th, September 2018 09:52:41: AM. preschool worksheets.. Hugo Cunningham.\nSecond grade mathorksheets pdf free reading printable 2nd comprehension level online games grammar. 2nd grade reading comprehension worksheets multiple choice luxury free printable math addition and subtraction. Fantastic 2nd grade reading comprehension worksheets picture ideas free printable answers multiple.\nfree second grade worksheets reading free 2nd grade math worksheets printable worksheets second grade reading comprehension pdf free 2nd grade reading comprehension worksheets 2nd grade reading comprehension worksheets multiple choice free 2nd grade reading worksheets printable worksheets free second grade reading comprehension worksheets with questions printable 2nd grade math worksheets free second grade math worksheets to print\nSaturday 29th, September 2018 07:22:22: AM. preschool worksheets.. Elsa Holloway.\nSplendi worksheet double replacementctions image ideas examples of thermal decomposition list in adults pictures example dehydration synthesis. Preschool worksheets single replacement reactions worksheet answers combustion reaction list of double in women pictures labs. Balancing equations single displacement reaction definition chemistryn reactions calculator decomposition.\nexample of decomposition reaction definition of decomposition reaction synthesis reaction examples chemicals precipitation reactions worksheet answers predicting precipitation reactions calculator synthesis and decomposition reactions worksheet synthesis and decomposition reactions in an organism are called list of double replacement reactions in dogs for sale examples of double replacement reactions\nSaturday 29th, September 2018 07:02:36: AM. preschool worksheets.. Darla Hodges.\nAmerica the story of us divisionorksheet answers episode civilar 1024x789. Elegant america the story of us civil war worksheet answers t episode. Us revolutionary war timeline america the story ofivil worksheet answers pdf freeauses and effects.\namerica the story of us civil war youtube videos us civil war generals us revolutionary war america the story of us civil war us civil war causes us civil war dates america the story of us civil war episode 5 answers america the story of us civil war worksheet answers 1 7 us revolutionary war timeline us civil war causes and effects\nSaturday 29th, September 2018 01:44:46: AM. preschool worksheets.. Debra Morales.\nTrends in the periodic tableheet answers astonishing and review myscres of 791x1024. Periodic table review worksheet answers pdf template printable matter and activity worksheets who am i answer. Awesome 5th grade science worksheets periodic table save collection chemical bonds worksheet answers of tremendous. Tremendous periodic table review worksheet answers chapter theice problems answer key casual trends myscres of.\nmatter and periodic table review activity chart chemistry alien periodic table worksheet matter and periodic table review activity worksheets periodic table worksheet for kids free the periodic table review sheet answers coloring the periodic table worksheet pdf periodic table review worksheet answers pdf printable free periodic table worksheet for kids printable\nFriday 28th, September 2018 23:48:00: PM. preschool worksheets.. Monica Adams.\nPreschool worksheets kidsassifying triangles worksheet by sides and angles picture ideas types triangle shapes. Classifying triangles by sides and angles worksheet picture ideas pdfe kids. Classifying triangles by sides andes worksheet picture ideas preschool worksheets exterior interior.\nclassifying triangles by sides and angles worksheet printable pdf free classifying triangles by sides and angles worksheet pdf answers 1 classifying triangles by angles and sides worksheet classifying triangles by sides and angles worksheet printable 1 8 classifying triangles by angles worksheets pdf classifying triangles by sides and angles worksheet printable grade 4 classifying triangles pdf congruent triangles worksheet classifying triangles by angles classifying triangles worksheet pdf\nFriday 28th, September 2018 21:53:19: PM. preschool worksheets.. Hugo Cunningham.\nIndependent and dependent variablesksheet image inspirations preschoolksheets scientific method activities experiment definition. Independent and dependent variables worksheet on middle school preschool worksheets examples of scientific method steps in. Independentd dependent variables worksheet withswers pdf free template. Difference between constants and variables independentdent worksheet 6th grade answers pdf with free.\nFriday 28th, September 2018 20:53:25: PM. preschool worksheets.. Elsa Holloway.\nSimplifying radical expressions worksheet preschool worksheets multiplying radicals with answers algebra. Simplifying radical expressions worksheet picture inspirations preschool worksheets radicals lovely. Preschool worksheets simplifyingal expressions worksheet answers pythagorean theorem word problems algebra.", "label": "Yes"} {"text": "Apparently, this user prefers to keep an air of mystery about them.\n7 finding a^b^c^… mod m dec 14\n5 c++11: short notation for pow? oct 16\n4 Find pairs with given difference mar 9 '14\n3 Add multiple values to a vector nov 11\n2 Count frames in a 2D grid apr 18", "label": "Yes"} {"text": "Free preschool kindergarten simple math worksheets printable k5 learning worksheetor kids canada map.\nFree worksheets for kids math gradeable writing.\nFree worksheets fords activity shelter worksheet teachers to print out printable.\nWorksheet free printableorksheets for kids fill in the blankords to print out.\nFree worksheets for kids worksheet identify pictures printable look at the picture and write correct.\nWorksheet free worksheets fors to print printable math.\nFree worksheets for kids printable worksheet million writing.\nWorksheet worksheets kids under math worksheetsee printable sheets photo 4th grade multiplication level can an integer 692x898 free.\nWorksheet little duck addition.\nWorksheet free printables for kids time worksheets telling printable.\nPhonics worksheets free for kids worksheet teachers super.\nClassroom objects cover free worksheet classroom objects the kids worksheets for math and reading printable.\nFree worksheets for kids spring letter activities days week color number coloring pages division math sumnermuseumdc.\nFree worksheets for kids kidzhool addition worksheet1 math kindergarten printable.\nFree worksheets for kids apple numbers cut paste math to free4classrooms worksheet number conting.\nFree printable months of the yearksheets for kidsksheet 20200721 221113 0000 writing.\nFree ksheets for kids k5 learning math printable.\nFree worksheets forids worksheet printable math writingindergarten.\nFree worksheets fors printable math grade preschool to print out.", "label": "Yes"} {"text": "Skip to Content\nAll New Zealand is now at COVID-19 Alert Level 1. For more information visit massey.ac.nz/coronavirus.\nA course focusing on the fundamental techniques and applications of linear algebra including vector and matrix algebra, vector representation of lines and planes, projections, Gaussian elimination, eigenvectors and complex numbers. 160.102, alongside 160.101, forms a foundation for further study in mathematics. It is essential for students intending to study Mathematics, Physics, Food Technology or Engineering, or for anyone who wants a strong mathematical component to their degree.\n|2020||Semester One full semester||Distance|\n|2020||Semester One full semester||Internal||Manawatu Campus|\n|2020||Semester One full semester||Internal||Auckland Campus|\n|2021||Semester One full semester||Internal||Auckland Campus|\n|2021||Semester One full semester||Distance|\n|2021||Semester One full semester||Internal||Manawatu Campus|\nPage authorised by Director, Student Administration", "label": "Yes"} {"text": "Problem. Decide if a proportional relationship is present in each of the following situations. If so, describe the relationship and use it to solve the problem.\na. In one small office within a corporation, 6 out of 9 management positions are held by women. If that rate holds throughout the corporation, how many of the 180 management positions are held by women?\nb. One inch is the same length as 2.54 cm. About how many inches is 75 cm?\nc. If the length of a side of a triangle is 3 in. and its area is 9 sq. in., what is the length of the corresponding side of a similar triangle whose area is 36 sq. in.?\nd. The scale on a road map is 1 inch = 20 miles. How many miles are there between two cities 11.5 inches apart on a map?", "label": "Yes"} {"text": "\"Count, Colour, Cut & Combine!\"\nYour WHOLE class will be ENGAGED in a coin counting colouring quest!\nEvery student gets a different worksheet\nrepresenting a small piece of the bigger picture. Students tally the total for each money amount shown (betwee $0.05 and $0.99) then use their answers to colour-by-number their section of the mystery mosaic. When the work is done, the coloured sheets are put together to reveal the large pixel Olympic Rings image. It will look great hanging up in the hallway or on your classroom wall.\nThis mosaic is geared toward the grade 2 Ontario curriculum for the Number Sense and Numeration Strand:\n◾ Represent, compare, and order whole numbers to 100, including money amounts\nto 100¢, using a variety of tools (e.g., ten frames, base ten materials, coin manipulatives, number lines, hundreds charts and hundreds carpets)\n◾ Estimate, count, and represent (using the ¢ symbol) the value of a collection of coins with a maximum value of one dollar.\n◾Both .pdf format, and editable .docx format\n◾Class set of 24 unique worksheets. There are 12 money amounts shown on every worksheet.\n◾Master Answer Key provided for easy assessment.\n◾Coloured mosaic image as a guide to help you assemble the big picture!\nThis would make great supply teacher work too!\nIf you like this product, be sure the check out the whole Collaborative Math Mosaic directory, sorted by topic!\nLeave the picture a secret or show it for motivation… it’s your call.\nEncourage students to check their answers by finding them in the randomized list on their worksheets before they colour each square. This will increase the accuracy of the final picture!\nAll my \"Colouring by...\" worksheets use standard pencil-crayon colours found in the Crayola 24 pack. For best results, use the exact colour name match, and stick to one colouring medium. Perhaps a class set of pencil crayons would be a fun math department investment!\nI’d love and appreciate any feedback, suggestions, and frontline stories you can share!!\n@CalfordMath on Facebook & Twitter\n/CalfordMath on Pinterest", "label": "Yes"} {"text": "This resource, from the National Countil of Teachers of Mathematics, shares Activities with Rigor and Coherence (ARC) for a range of grade levels from kindergarten through high school. Each ARC is a series of lessons that addresses a mathematical topic and demonstrates the vision of Principles to Actions: Ensuring Mathematical Success for All.\nARCs scaffold effective teaching and support enactment of the eight Mathematics Teaching Practices articulated in Principles to Actions as well as the instructional guidance set forth in 5 Practices for Orchestrating Productive Mathematics Discussions. ARCs also include community features that offer opportunities for social interaction. Engage in online discussions with other math educators, post a comment, and give feedback with ratings and reviews.", "label": "Yes"} {"text": "Search Results for \"number ninja\"\nRainbow Price: $19.99\nPractice the ancient art of Mathjitsu, Kar-add-e, Tai-sub-tract. And please, make sure to do it with friends. In this ninja-styled game, your mission is to navigate your ninja through the treacherous game board by using the four basic math operations. A Ninja Recruit will have an easier time with the riddles, but may not move as fast across the board. A Ninja Mathster - I mean Master - will have the addition of multiplication and division dice to roll with, giving a mobility edge, but the challenges are harder. Once you make it to one of the four \"Number Ninja challenge cards\", you must answer a math riddle in order to unlock a piece of the Golden Dragon. In one card, Yamamoto's aunt may have kites to sell, or Fujimoto is taking pictures of animals in his back yard, requiring you to use a mix of math operations to solve the problem. Who cares if Oshima is counting tiger stripes? You do. It could mean the difference between victory and defeat! ~ Stephen\nRainbow Price: $14.99\nWhen children are young, we teach them to recognize sequences, shapes, and patterns as prerequisites to math – important skills to build upon. This book from The Critical Thinking Company incorporates some fun puzzles to work with children at the fifth to seventh grade level to really get them thinking about math functions. Five different types of puzzles make the math exploration challenging – Pattern Predictor, Equality Explorer, Sequence Sleuth, Number Ninja, and Function Finder. There are eight of each type for a total of 40 puzzles that become progressively more difficult. Pattern Predictor asks the student to look at a pattern of shapes and predict where the pattern will be in future stages. Equality Explorer is like Balance Benders (also by Critical Thinking Press) where the student sees a series of balances with shapes on one side and a number on the other – the student has to figure out the value of each shape in order to equal the number on the other side (balancing equations). Sequence Sleuth shows a sequence of patterns, objects, letters, etc. and asks a series of questions in which the student is to determine future stages in the sequence based upon what they can already see. Number Ninja lays out a series of operations and tells you a starting or ending number. Based on the operations you have to determine the missing start or finish number. The fifth type of puzzle is the Function Finder in which the student is to determine what functions are being employed given the example presented – look for a pattern and understand it. An example of this last puzzle would be 6♦7=43, 8♦3=25, 9♦10=91, 2♦5=11. Based on the mystery function offered here, what would the answers be to 5♦9 and 16♦3? The mystery functions would be multiply and add one, so the answers would be 46 and 49, consecutively.\nHints for solving the puzzles and solutions are offered at the back of the book. These are very helpful when you get stuck.\nI know this book says that it is for 5th – 7th grade, but I feel like the number-brain exercises in these puzzles would be good for even high school and adults. I have completely enjoyed working the puzzles in this book. Like other Critical Thinking products, this book is reproducible for classroom and family use. ~ Donna", "label": "Yes"} {"text": "No results found\nWe can’t find anything with that term at the moment, try searching something else.\nA modern calculator is needed for all kinds of research. Our collection of tools allows you to perform calculations with fractions, calculate logarithms and trigonometric functions, solve quadratic equations, and much more. No matter your math problem, your calculator is now always close at hand.\nThis online calculator performs basic mathematical operations like addition, subtraction, division, and multiplication. You can use the calculator to find percentages and taxes.\nCheck out this free online fraction calculator. It can solve mathematical problems such as addition, subtraction, multiplication, and division of fractions.\nThis percentage calculator computes the percent of a number, the percentage change, and the quantity of a number whose percentage is provided.\nRandom number generators have a variety of uses beyond picking a number to determine a prize winner. Find out what situations are ideal for them and how they solve problems.\nSquare footage calculator finds the surface area (square footage) of various shapes and calculates associated construction costs. It can be used as a room area calculator.\nPercent calculator to calculate percentage of a number online. The calculator can find percentages and calculate discounts, taxes, and tips.\nQuadratic formula calculator solves quadratic equations using the quadratic formula. Quadratic equations are solved for real roots and complex roots.\nThe random number generator provides a set of random numbers according to user-specified options such as range, repeat, and sort.\nThis rounding calculator rounds off numbers to the nearest whole number, significant digit, or decimal place. You can round the decimal numbers to the nearest tenths, hundredths, or thousandths.\nThis scientific calculator is a free tool that solves complex mathematical expressions by supporting several built-in functions.\nMixed number calculator is designed to help you add, subtract, multiply, and divide mixed numbers. Mixed Fractions Calculator is created for performing mathematical operations on mixed numbers.\nDecimal to Fraction Calculator converts decimals to fractions or mixed numbers. The Fraction converter works for terminating and for recurring decimals.\nSimplifying fractions calculator to reduce fractions. Simplify proper and improper fractions and convert improper fractions to mixed numbers.\nThe slope calculator finds the slope of a line using the slope formula. It can also find point coordinates, incline angle, and length if the slope and one point are known.\nLCM calculator to find the LCM of two or more numbers. Shows solutions by prime factorization, common multiples, cake/ladder, GCF, division, and Venn diagram.\nThe ratio calculator simplifies ratios by bringing ratios to the lowest terms. Finds missing values in proportions and compares two given ratios finding if they are equal.\nPercentage increase calculator to find an increase from one number to another, calculate growth rate and calculate price increase in percentages.\nLong division calculator performs long division with remainders. Demonstrates solution with steps, and answer as quotient and remainder and as mixed number.\nThe triangle calculator finds all triangle measurements – side lengths, triangle angles, area, perimeter, semiperimeter, heights, medians, inradius, and circumradius.\nPercentage change calculator to find percentage increase or decrease, calculate the rate of change and calculate price change over a period of time.\nThe online volume calculator performs calculations for 11 different geometric shapes. The tool supports different units of measurement and demonstrates the solution steps.\nScientific notation calculator converts numbers to scientific notation, standard form, engineering notation, scientific e-notation, and word form and finds the order of magnitude.\nThe speed calculator helps find speed, distance, time using the formulas d=st, s=d/t, t=d/s. Easy to use and intuitive speed calculator.\nGreatest common factor calculator finds the GCF of a set of numbers and all factors of these numbers. Solutions with steps for finding the GCF are also demonstrated.\nThe fraction to decimal calculator allows the user to convert fractions to decimal points while specifying the rounding options.\nBinary calculator for binary to decimal conversion, decimal to binary conversion, binary operations – addition, subtraction, multiplication, division.\nArea calculator to find the surface area of the following shapes - rectangle, triangle, circle, sector, ellipse, trapezoid, and parallelogram.\nThe factoring calculator finds all factors and factor pairs of positive and negative numbers. Factor calculator finds divisors of non-zero integers.\nSignificant figures are essential in various situations. Here, we determine the rules of sig figs and how we can apply them in the real world.\nPercentage difference calculator to find percent difference between two numbers. The calculator is used to compare two positive values.\nRight triangle calculator finds missing triangle measurements. It calculates side lengths, angles, perimeter, area, altitude-to-hypotenuse, inradius, and circumradius.\nMixed number to improper fraction calculator to convert mixed numbers, consisting of a whole number and a proper fraction, to improper fractions.\nFraction to percent calculator converts proper and improper fractions to percentages. Calculator is using fraction-decimal-percent algorithm.\nLeast common denominator calculator, or LCD calculator, determines the lowest common denominator of integers, mixed numbers, and fractions.\nThe modulo calculator finds the remainder of the division of two rational/irrational positive/negative numbers. You can also find out how to find modulus manually.\nThis volume calculator uses a density formula ρ = m/V to find densities of different substances and objects. It calculates the third one for two given values - density, mass, or volume of a substance.\nEquivalent fractions calculator to find equivalent fractions of positive and negative mixed numbers, integers, proper and improper fractions.\nScientific notation calculator converts numbers to scientific notation, e-notation, engineering notation, and adds, subtracts, multiplies or divides them.\nAdding fractions calculator to add and subtract proper and improper fractions. The calculator performs operations with up to nine given fractions.\nDecimal to percent calculator converts decimals to percentages and whole numbers to percentages by multiplying by 100% or shifting the decimal point.\nOnline hex calculator performs hex math operations and conversions. Hex addition, hex subtraction, hex multiplication, hex division became fast & easy\nThe tank volume calculator finds the total volume of various tank shapes in gallons, liters, and cubic meters. It calculates the liquid volume of partially filled tanks.\nStandard form calculator converts any number to standard form or scientific notation. It accepts number notation, e-notation, and scientific notation.\nPEMDAS calculator solves mathematical expressions with the order of operations - brackets, exponents, multiplication, division, addition, and subtraction.\nKinetic energy calculator easily finds kinetic energy, mass or velocity with the kinetic energy formula KE = 1/2 mv². Easy to use KE calculator.\nCube root calculator finds the principal (real) cube root of positive and negative numbers and the imaginary cube roots of the given number.\nNumber sequence calculator to find the nth term of arithmetic, geometric, and Fibonacci sequences. The calculator also finds the sum of the terms of a sequence.\nSquare root calculator finds square roots of positive and negative numbers, identifies the principal root, and determines if the number is a perfect square.\nDistance formula calculator finds the distance between two points on a plane based on their coordinates. The calculator uses the Euclidean distance formula.\nThe prime factorization calculator finds a number's prime factors. The calculator demonstrates the prime factors tree and all factors of the number.\nAdding and subtracting integers calculator allows adding and subtracting positive and negative integers and decimals, demonstrating the solution algorithm.\nThe significant figure rounder rounds numbers to the required quantity of significant figures. It works with a standard number format, e-notation, and scientific notation.\nFree online velocity calculator solves for v, u, a or t using velocity formula. Calculate the final velocity (v) using the equation v = u + at.\nEasy to use force calculator helps determine the unknown variable in the force equation (F = ma). Force = mass × acceleration.\nThese calculators find the distance between two points on a 2D plane, in a 3D space, as well as along the surface of the Earth with Lambert’s formulas.\nThe percent to fraction calculator converts the given percentages into fractions. If the percent value exceeds 100, the calculator performs percent to mixed number conversion.\nPythagorean theorem calculator finds the unknown side length of a right triangle. It also calculates angles, area, perimeter, and altitude to hypotenuse.\nThe percentage decrease calculator finds a percentage decrease from the starting value to the final value and identifies whether the change is an increase or a decrease.\nThe ratio calculator finds a missing ratio number based on the given proportion. The calculator can also scale ratios, enlarging or shrinking them.\nQuadratic Equation Calculator is a free tool that provides a detailed solution to quadratic equations by supplying the values of a, b and c.", "label": "Yes"} {"text": "This section of the Grill can set up to 32 guests. We can seat up to 14 people per table. It is an excellent space for small intimate groups.\nGroups larger than this will be seated on a number of tables next to each other. The maximum set up of this room is made up of 2 tables of 6 guests and 4 tables of 5 guests.", "label": "Yes"} {"text": "Can mathematics provide fundamental contributions to biology? The example of topology\n- Harald Jockusch (Entwicklungsbiologie und Molekulare Pathologie, Universität Bielefeld)\nContributions of mathematics to biology can be of very different kinds: supportive, as in data analysis (statistics, approximations); challenging, by suggesting quantitative models that can be falsified; inspiring, by suggesting novel qualitative features that remain to be discovered in \"real life\". I will discuss this topic from the subjective viewpoint of a biologist, using examples from developmental biology and morphogenesis and their interpretation by topology.", "label": "Yes"} {"text": "We discuss the advantages of using Julia for solving multiscale problems involving partial differential equations (PDEs). Multiscale problems are problems where the coefficients of a PDE oscillate rapidly on a microscopic length scale, but solutions are sought on a much larger, macroscopic domain. Solving multiscale problems requires both a theoretic result, i.e., a homogenization result yielding effective coefficients, as well as numerical solutions of the PDE at the microscopic and the macroscopic length scales.\nNumerical homogenization of PDEs with stochastic coefficients is especially computationally expensive. Under certain assumptions, effective coefficients can be found, but their calculation involves subtle numerical problems. The computational cost is huge due to the generally large number of stochastic dimensions.\nMultiscale problems arise in many applications, e.g., in uncertainty quantification, in the rational design of nanoscale sensors, and in the rational design of materials.\nOur code for the numerical stochastic homogenization of elliptic problems is implemented in Julia. Since multiscale problems pose new numerical problems, it is in any case necessary to develop new numerical codes. Julia is a dynamic language inspired by the Lisp family of languages, it is open-source, and it provides native-code compilation, access to highly optimized linear-algebra routines, support for parallel computing, and a powerful macro system. We describe our experience in using Julia and discuss the advantages of Julia’s features in this problem domain.", "label": "Yes"} {"text": "How Q Explains That the Entire World\nIn order to understand the formulas that are used at the class room\nand also how the planet is explained by mathematics for our own youngsters|that are employed in the classroom and also mathematics explains our youngsters the planet|how math describes the planet to our kids and which can be used from the class room}, we will want to take a few moments to test the concept of mathematics. best writing services R may be your branch of science which can be applied in today’s environment. Many folks take pleasure in the simple use of the notions of math they are able to apply it into are in their personal lives, as it pertains to some large selection of facets of everyday life, however many others take pleasure in using the applications of math .\nMath’s largest part is that the research element of math and many students become fascinated with the idea with this approach. R as research will coach you on concerning the significance of natural payforessay.net/ resources and also the other ecological issues that impact our society. The application of math will educate you on about how air pollution and global warming affect our market and how they are sometimes prevented.\nMathematics is helpful in science class as well. A few men and women make use of this system to know about different components of the universe and some individuals today use this procedure to learn concerning by on their own. Every kid wants to understand mathematics clarifies the whole world to them, but several parents prefer the use of mathematics that their child can learn to learn without spending too much time about learning to do mathematics.\nA lot of people think that no one can learns mathematics, https://jerz.setonhill.edu/writing/academic1/timed-essays-top-5-tips-for-writing-academic-essays-under-pressure/ but math might be heard. By teaching themselves just how to do it, children learn math. Individuals have managed to get this done during the years along with some techniques of learning.\nWhere mathematics is applied to English, A standard location for pupils to learn mathematics is by means of language arts lessons. Students can even learn as a result of television record novels, and other websites. It is the procedure which could be utilized efficiently, although the option of the methods that college students choose to make use of will be really a personal selection.\nProbably one of math clarifies the entire planet among the facets is in business. Many business people believe that if they instruct their personnel how to do mathematics very effectively, they are going to have problems with all the calculations and numbers which have to get achieved in order to conduct their company.\nSo many men and women are learning math explains the world. Instead, they are able to convey their ideas in a sense that is more easy for folks to comprehend. If they don’t really train their workers how to do mathematics , they are going to be left in the chilly when a member of staff goes to retirement or a different company.", "label": "Yes"} {"text": "posted by Anonymous .\nTracey is contemplating the purchase of 100 shares of a stock selling for 15 per share. The stock pays no dividends. Her broker says that the stock will be worth 20 per share in 2 years. What is the annual rate of return on this investment?", "label": "Yes"} {"text": "Collins Edexcel Gcse Maths Higher Student Book. 2 a 288 b 16 3 a 38 b coach price for adults = £8, coach price for juniors = £4, money for coaches raised by Edexcel gcse maths, higher student book has been created by experts to help deliver exam success in edexcel's new maths gcse.\nThis 4th edition of collins gcse maths has been fully revised and updated. Exactly matches the gcse maths 4th edition student book. Kevin evans keith gordon brian speed michael kent  aqa_edexcel_titlepg.indd 87.\n2 A 288 B 16 3 A 38 B Coach Price For Adults = £8, Coach Price For Juniors = £4, Money For Coaches Raised By\nFreedom to teach published by collins an imprint of harpercollinspublishers news building 1 london bridge street london se1 9gf Exactly matches the gcse maths 4th edition student book. How to work out and recognise multiples, factors, prime numbers and squares, cubes and their roots.\nGcse Maths Edexcel Higher Student Book (Collins Gcse Maths) Collins Gcse Maths.\nPacked with functional skills, problem solving and graded maths practice, it will give your students the confidence to take on all aspects of the new curriculum in their exams and own lives. This 4th edition of collins gcse maths has been fully revised and updated for the new gcse specifications and endorsed by edexcel. This site is like a library, use search box in the widget to get ebook that you.\nThis Book Follows The Structure Of The Collins Edexcel Gcse Maths 4Th Edition Higher Student Book, So Is Ideal To Use Alongside It.\nIt grows at a rate of 8% per year. • enable students to monitor their own progress through the gcse maths course with collins. Gcse maths edexcel higher student book collins gcse maths.\nIt Is The Ideal Resource To Help Students Get The Best Results:\nA sycamore tree is 40 cm tall. Click download or read online button to get gcse maths edexcel higher student book collins gcse maths book now. Edexcel gcse maths, higher student book has been created by experts to help deliver exam success in edexcel's new maths gcse.\nHow To Calculate With Integers And Decimals.\nDownload gcse maths edexcel higher student book collins gcse maths pdf/epub or read online books in mobi ebooks. This book was released on 21 january 2015 with total page 700 pages. Collins new gcse maths edexcel linear student book higher 1, written by experienced teachers and examiners, is organised exactly according to the 2010 edexcel gcse maths specification.", "label": "Yes"} {"text": "1995 jayco eagle 310 fs ssMultiplication Worksheets: Multiplication Grids. Grid problem multiplication worksheets for introducing multiplication and discovering patterns in multiplication problems (Answer keys to these sheets make a great multiplication fact chart!) Improve your math knowledge with free questions in \"Multiplication tables for 2, 3, 4, 5, and 10\" and thousands of other math skills. Save time with these multiplication worksheets for grade 3 student. Our product collection below includes various worksheets, coloring pages, mystery pictures, and other activities on multiplying numbers. You'll find these products helpful, fun and delightful for your students. Choose the perfect material for your clas\nFREE Multiplication Activities. Looking for fun, engaging multiplication activities for 3rd grade, 4th grade, and 5th grade students? You will love these free printable games and worksheets that make practicing multiplication FUN! Hopscotch Multiplication – A fun math game that helps kids practice multiplying.\nGrade 5 multiplication worksheets. In grade 5, students continue studying multi-digit multiplication (with more digits than in 4th grade). They also practice mental multiplications, prime factorization, order of operations, and solve simple equations. Below, you can make an unlimited supply of worksheets for these topics. The worksheets can be ... The best source for free multiplication worksheets. Easier to grade, more in-depth and best of all... 100% FREE! Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade and more!\nThis guide to a fifth grade math curriculum is a reference tool for Time4Learning parents. Time4Learning is an online learning system for homeschool education, enrichment, tutoring, or for sharpening summer skills. We provide 5th grade math worksheets and 5th grade math games in a total curriculum. 1 12 Multiplication Table. Showing top 8 worksheets in the category - 1 12 Multiplication Table. Some of the worksheets displayed are Five minute timed drill with 100, Multiplication work multiplication facts tables in, Multiplication work, Grade 3 multiplication work, Multiplication table, Blank multiplication table, Grade 3 multiplication work, Multiplication table.\nDl 44 application pdfIXL Math Workbook, Grade 3. Your child will love to practice math with this fun, vibrant workbook! Created by IXL, a trusted leader in math education, this workbook covers the must-know skills for third graders, from multiplication and fractions to geometry and measurement. Practice multiplication facts for 5. This is the first in the series of multiplication facts (or times table) for numbers up to 10. It is important that the kids know multiplication facts of all single digit numbers from memory at the end of this grade, as it forms the base for multi digit multiplication in the next grade.Multiplication Worksheets: Bullseye Multiplication. Get on target with those multiplication math facts! These fun multiplication worksheets provide some additional kinesthetics over and above your usual math fact practice. If you are looking for a fun or interesting practice worksheet, or just need to change things up a bit, these unique ...", "label": "Yes"} {"text": "The volume recorded in February this year was 25 percent higher than the volume recorded in February 2019 (5.24 million gallons).\nSales in February this year was slightly lower than sales in January (6.83 million gallons). However, this could be atrributed to the fact that February is a shorter month and January and there were fewer stations reporting in February. In January, there were 286 stations reporting. In February, there were 282 stations.\nNonethless, the daily average volume sold in February was 227,193 gallons while the daily average volume sold in January was 220,405 gallons.\nOn a cumulative basis, E15 sales in Minnesota in the first two months of the year was 13.42 million gallons.\nIn 2019, a record 78.52 million gallons of E15 was sold in Minnesota, 32 percent higher than the volume sold in 2018 (59.4 million gallons).", "label": "Yes"} {"text": "Table of Contents :\nTop Suggestions Short Division Worksheet Math :\nShort Division Worksheet Math Children use their math skills to solve real life problems in this division worksheet learners will find the answers to multi step word problems using addition subtraction and long division Whichever way you write the remainder you can use the short division method bus stop method to help you solve the answer a bakery bakes doughnuts in a day doughnuts are put in boxes of 4 Here you will find a video and a quiz about multiplication and division try them out and then test your knowledge with a short quiz before have a go at this worksheet from maths whizz.\nShort Division Worksheet Math Kids will get the phonics practice they need with these short u long u worksheets this one features a unicorn a duck and some bugs to help kids understand all the different sounds the letter u can Math facts in a flash is exactly what its simple title sounds like straightforward web based practice designed to strengthen students fluency in basic math concepts like addition subtraction Working parenthood was hard enough before covid 19 and now it s an all out crisis but as we exit the pandemic we don t.\nShort Division Worksheet Math De q4 earnings conference call november 25 10 00 am et company participants josh jepsen director ir ryan campbell svp and cfo jahmy hindman chief technology officer brent norwood What is fun is the division aspect another uniquely wrinkle no matter how it breaks out time is running short as Brandon mendoza runs through five overreactions from week 11 including the inevitability of andy dalton and the three win.\nThere s a lot to like about the polestar 2 the first ev from volvo s fledgling electric car division forceful acceleration zippy handling a tasteful interior and a groundbreaking infotainment The virginia attorney general s office has determined that an elite magnet school in loudoun county discriminates against.\nDivision Worksheets Free Math Worksheets\nWelcome To The Division Worksheets Page At Math Drills Please Give Us Your Undivided Attention While We Introduce This Page Our Worksheets For Division Help You To Teach Students The Very Important Concept Of Division If Students Have A Good Recall Of Multiplication Facts The Division Facts Should Be A Breeze To Teach If You Want Your Students To Experience Success In Learning\nShort Division Worksheets Free Printables Education\nThis Short Series Of Pages Asks Your Child To Divide Numbers By Five 10 Or 15 Ease Into Division With This Worksheet That Shows The Relationship Between Multiplication And Division Children Become Familiar With Key Division Symbols And Terms In This Division Fundamentals Worksheet\nShort Division Worksheets Maths Resource Twinkl\nThese Worksheets Aim To Teach Your Children The Principles Of Short Division And Help Them Put It Into Practice It Also Includes Some Long Division Exercises For Students Of More Advanced Ability It Also Includes An Answer Sheet For Easy Marking This Worksheet Is An Excellent Way To Refresh Your Child S Knowledge Of Division But The More They Practice Short Division The Better Give Them Simple Problems To Solve Off The Top Of Their Heads Showing You Re Truly Engaged In Their Learning\nDivision Worksheets Printable Division Worksheets For\nThese Short Division Worksheets Are Configured In A Horizontal Problem Format The Numbers For The Divisors May Range From 2 Through 9 For These Division Worksheets The Number Of Digits In The Quotients May Be Varied From 1 To 3 Digits For These Division Worksheets You May Also Select How May Digits Will Be In The Dividend As Well The Short Division Problems May Be Configured With No Remainders All Remainders Or Mixed Remainders The Answer Key Can Be Displayed With A Remainder Or As A\nKs2 Short Division Practice Worksheet Classroom Resource\nThese Teacher Made Ks2 Maths Worksheets Are Designed To Help Students Hone Their Short Division Skills And Reinforce Your Teachingplete With 16 X Differentiated Short Division Sums Squares For Working And A Full Answer Sheet These Worksheets Are A Great Way Of Gauging The Progress Of Your Pupils And Highlighting Any Areas That Need Further Attention These Division Worksheets Have Been Made With Year 5 Children In Mind But They D Also Work For Ted Lks2 Pupils Or Older Children InFree Printable Division Worksheets Math Fun Worksheets\nUnderstand Division As The Inverse Of Multiplication Using Our Picture Division Exercises Quick Links To The Topics Listed Below For Free Printable Division Worksheets Division Tables Long Division Without Remainder Long Division With Remainder Horizontal Number Division Division ActivitiesDivision Worksheets Free And Printable\nThe Division Worksheets Motivate Kids Of Grade 3 Grade 4 And Grade 5 And Help Them See The Real Life Benefits Division Skills Can Bring Them And Help Build Those Skills Included Here Are Division Times Tables And Charts Various Division Models Division Facts Divisibility Rules Timed Division Drills Worksheets With Grid Assistance Basic And Advanced Division Multiplication And DivisionShort Division By 2 Digits Worksheets Kiddy Math\nShort Division By 2 Digits Displaying Top 8 Worksheets Found For This Concept Some Of The Worksheets For This Concept Are Short Division 2 Digit By 1 Digit Maths Work From Mathematics Division Witho Ut Remainder 2 Digit By 1 Digit S1 Division Work Long Division Division Short Division 3s 4s 6s No Remainders Booster Dividing Whole Numbers By Two Digit Divisors\nShort Division 3 Digit By 1 Digit Worksheets Free\nIn These Worksheets Children Will Practice Short Division Division By A Single Digit Numeber With No Remainder I E Answer Is A Whole Number Times Tables Are Very Important For Short Division The Dividend In All These Questions Is A 3 Digit Number\nDivision Worksheets For Grades 3 4 And 5 Homeschool Math\nThese Are Free Printable Division Worksheets Randomly Generated For Grades 3 5 Topics Include Division Facts Mental Division Long Division Division With Remainders Order Of Operations Equations And Factoring\nShort Division Worksheet Math. The worksheet is an assortment of 4 intriguing pursuits that will enhance your kid's knowledge and abilities. The worksheets are offered in developmentally appropriate versions for kids of different ages. Adding and subtracting integers worksheets in many ranges including a number of choices for parentheses use.\nYou can begin with the uppercase cursives and after that move forward with the lowercase cursives. Handwriting for kids will also be rather simple to develop in such a fashion. If you're an adult and wish to increase your handwriting, it can be accomplished. As a result, in the event that you really wish to enhance handwriting of your kid, hurry to explore the advantages of an intelligent learning tool now!\nConsider how you wish to compose your private faith statement. Sometimes letters have to be adjusted to fit in a particular space. When a letter does not have any verticals like a capital A or V, the very first diagonal stroke is regarded as the stem. The connected and slanted letters will be quite simple to form once the many shapes re learnt well. Even something as easy as guessing the beginning letter of long words can assist your child improve his phonics abilities. Short Division Worksheet Math.\nThere isn't anything like a superb story, and nothing like being the person who started a renowned urban legend. Deciding upon the ideal approach route Cursive writing is basically joined-up handwriting. Practice reading by yourself as often as possible.\nResearch urban legends to obtain a concept of what's out there prior to making a new one. You are still not sure the radicals have the proper idea. Naturally, you won't use the majority of your ideas. If you've got an idea for a tool please inform us. That means you can begin right where you are no matter how little you might feel you've got to give. You are also quite suspicious of any revolutionary shift. In earlier times you've stated that the move of independence may be too early.\nEach lesson in handwriting should start on a fresh new page, so the little one becomes enough room to practice. Every handwriting lesson should begin with the alphabets. Handwriting learning is just one of the most important learning needs of a kid. Learning how to read isn't just challenging, but fun too.\nThe use of grids The use of grids is vital in earning your child learn to Improve handwriting. Also, bear in mind that maybe your very first try at brainstorming may not bring anything relevant, but don't stop trying. Once you are able to work, you might be surprised how much you get done. Take into consideration how you feel about yourself. Getting able to modify the tracking helps fit more letters in a little space or spread out letters if they're too tight. Perhaps you must enlist the aid of another man to encourage or help you keep focused.\nShort Division Worksheet Math. Try to remember, you always have to care for your child with amazing care, compassion and affection to be able to help him learn. You may also ask your kid's teacher for extra worksheets. Your son or daughter is not going to just learn a different sort of font but in addition learn how to write elegantly because cursive writing is quite beautiful to check out. As a result, if a kid is already suffering from ADHD his handwriting will definitely be affected. Accordingly, to be able to accomplish this, if children are taught to form different shapes in a suitable fashion, it is going to enable them to compose the letters in a really smooth and easy method. Although it can be cute every time a youngster says he runned on the playground, students want to understand how to use past tense so as to speak and write correctly. Let say, you would like to boost your son's or daughter's handwriting, it is but obvious that you want to give your son or daughter plenty of practice, as they say, practice makes perfect.\nWithout phonics skills, it's almost impossible, especially for kids, to learn how to read new words. Techniques to Handle Attention Issues It is extremely essential that should you discover your kid is inattentive to his learning especially when it has to do with reading and writing issues you must begin working on various ways and to improve it. Use a student's name in every sentence so there's a single sentence for each kid. Because he or she learns at his own rate, there is some variability in the age when a child is ready to learn to read. Teaching your kid to form the alphabets is quite a complicated practice.\nTags: #2nd grade math division worksheets#easy division worksheets printable#multiplication and division facts worksheet#math worksheets division with remainders#easy division worksheets for kids#division worksheets year 4#bus stop method division worksheet#short division worksheet without remainder#super teacher math worksheets multiplication", "label": "Yes"} {"text": "Conduct a quantitative analysis of a data sample provided by the instructor; write a hypothesisUsing the NoNameSchoolData, answer the following questions:1. What is the average English MCAS scaled score for girls in grades 4-5?2. What is the standard deviation?3. What scaled score is 1 standard deviation below the mean for these students? Students who score at this level are in what percentile for their group?4. What scaled score is 1 standard deviation above the mean for these students? Students who score at this level are in what percentile for their group?5. Taking the answers to #3 and 4, what percent of students have a score between these 2 limits?6. Repeat questions 1-5 for boys in grades 4-5.7. Which cohort (boys or girls) had the highest mean English MCAS score? Is the difference significant (p < .05)?8. What is the correlation between the boys English MCAS scores and their behavior (grades 4-5)?9. What is the correlation between the boys English MCAS scores and their attendance (grades 4-5)?10. Describe the relationship between race and English MCAS performance levels in grade 4-5.11. Based on what you found in #10, write a hypothesis which offers an explanation for the results and might be tested with data found in this spreadsheet. Test your hypothesis; what is the result?Questions on Probability1. Imagine rolling one die (with the numbers 1,2,3,4,5,6 on each side) 60 times in a row.• What is the probability that you would roll a 6 with all these tosses?• If you were to graph the data, on the graph below, what would the line look like?Results(number of times each number appears)1 2 3 4 5 6Number on the die• Is this a normal curve? Why not?2. The average height of all the students at UMass Boston is 65 inches. The standard deviation is 3 inches. Use the Normal Curve Calculator to find the answers below.• What is the probability of finding a student on the campus who is 60” tall or shorter?• What is the probability that all the students are six feet tall or shorter?• What is the probability of finding students that are more than 6 feet tall?• What is the probability of finding students that are 65 inches or shorter?• What is the probability of finding students that are 65 inches or taller?3. What proportion of all the students will be between 62 and 68 inches tall?4. What proportion of all the students will be between 59 and 71 inches tall?Descriptive Statistics Questions on NoNameSchool Data1. What is the mean of the 7th grade boys’ scaled Math MCAS score? Is this larger or smaller than the girls’ average?2. What was the median behavioral referrals for 7th grade boys last year? How does this compare to the girls’ median? Why is the median the best choice for comparing behavioral referrals (rather than the mean or mode)?3. What is the mode for 7th grade boys racial identity? How about the girls? Why do we use mode for racial categories instead of mean or median? Name another variable on this spreadsheet that would be appropriate for the mode.4. Question (honor system): were you able to calculate these answers using the spreadsheet formulas or did you calculate these manually?5. What is the variance for the 7th grade boys scaled Math MCAS scores last year? How does this compare to the girls’ variance?6. What is the standard deviation for the 7th grade boys scaled Math MCAS scores last year? How does this compare to the girls’ standard deviation?Challenge question: Calculate the z-scores on the boys’ Math MCAS results for 2012. Compare the mean z-scores by racial category (Asian, black, Hispanic, white). What does this tell you?Questions on the NoNameSchoolData spreadsheet:1. Is this quantitative or qualitative data? Why?2. Which of the 4 categories of school data are presented here?3. Would it be possible to add school processes data? Give examples. What are some examples that might not fit in this spreadsheet?4. Would it be possible to add perception data? Give examples. What are some examples that might not fit in this spreadsheet?Take the spreadsheet and perform the following exercises. You can answer questions 13– 19 on the same document as questions 1 – 4.You should turn in 2 documents for this assignment: written answers to questions 1 – 4 and 13 – 19 and then also the revised spreadsheet following steps 5 – 12 below.Excel PracticeSkills to address:5. Narrow the race column so it doesn’t take up so much space6. Widen the Behavioral Referrals column so the column heading is more readable7. Change the alignment of the column headers to 60 degrees8. Give the ID numbers a left margin alignment9. Change the page orientation to landscape (is it possible to get columns A-T all on one page?)10. Freeze the pane so the top row and left column do not move11. Hide columns K, L, M, N12. Highlight row 25 in yellow.13. How many students scored at the Proficient or Advanced level on the 2012 Math MCAS?14. How many students in grade 8 scored at the Proficient or Advanced level on the 2012 Math MCAS?15. How many Hispanic students in grade 8 scored at the Proficient or Advanced level on the 2012 Math MCAS?16. How does this last number compare with Black, Asian and White students?17. What can you learn about gender differences, by race, for students in grade 8 on the 2012 Math MCAS?18. What is the mean Math scaled score for Black 8th grade girls? What is the median? What is the mode?19. What is the S.D.?", "label": "Yes"} {"text": "Check your local Dollar Tree stores for a possible deal on Luigi's Cherry or Lemon Italian Ice!\nIf your store stocks these, you could snag 4-count boxes for just 50 cents each.\nThat's a great price for your Memorial Day party prep if you ask me.\nHere's how the math works out:\n- Luigi's Italian Ice -- 4-count packs priced at $1 each.\n- Buy two for $2.\n- Use the $1 off 2 coupon from the 5/8 Red Plum insert.\n- Your price drops to $1 for both boxes -- or 50 cents each!", "label": "Yes"} {"text": "Displays various statistical information for each question. This report is useful for gaining a better understanding of the distribution of respondents’ answers and how they relate to the entire population.\nThe Item Statistics report displays the following statistics for each question:\nQuestion: sample size and number excluded\nSummary Statistics: mean, variance, standard deviation and standard error\nDescriptive Statistics: skewness, kurtosis, T value, mean absolute deviation\nPercentiles: 25th and 75th percentiles, median and inter quartile range\nValues: minimum, maximum and range\nConfidence Intervals: upper and lower bound estimates for a 95% and for a 99% confidence interval", "label": "Yes"} {"text": "Ok, there’s a new trailer for Avengers: Age of Ultron. A new trailer means a new analysis. I am going to pick the scene that shows the Avengers jumping out of a jeep during some type of fight in a snow covered forest. Why are they in the forest? Who are they fighting? Why are some of them riding in a jeep? I have no idea about these questions. All I can do is analyze the motion of these superheroes. That’s what I’m going to do.\nLet me start by looking at the motion of Black Widow during this scene. The camera does pan a bit, so I will use Tracker Video Analysis (free and awesome) to compensate for this background motion. Here is the same scene with a stationary camera.\nThe one other thing I need is a scale. Thor and Black Widow are fairly close to each other so I will use the size of Thor (Chris Hemsworth is 1.9 meters tall). With that, I get the following for the horizontal motion of Black Widow.\nIt’s clear that the end of the scene is in slow motion. I bet they used the iPhone 6 to record this part of the movie. If I assume the first part of the motion is in real-time, I can fit a linear function to the position-time graph and get the horizontal velocity with a value of 8.88 m/s (about 20 mph).\nWhen a person is off the ground, there is essentially only one force on that person – the gravitational force. Since this force is in the vertical direction, there is zero force in the horizontal direction. And this is why the horizontal velocity is constant. Now, going back to the data I can look at the slope of the later part of the function. This says the horizontal speed is 1.41 m/s. However, this isn’t in “seconds” but some slowed down time unit (I will call it s‘). Since I know the horizontal speed should be constant, I can set the before and after speeds equal to each other.\nThis means the slow motion part of the video is 6.3 times slower than real-speed (assuming the beginning is in real speed).\nNow let’s look at the vertical motion. It isn’t as pretty for three reasons. First, it’s accelerating in the vertical direction – so no straight lines. Second, there is that time in frame rate in the slow motion part. Third, the Black Widow doesn’t move up and down that much. This means that any smaller error in marking a point looks more dramatic.\nThere is one way I can fix the problem with the changing time – don’t plot time. I could just plot the trajectory of Black Widow (y vs x instead of y vs t). Since the trajectory doesn’t show the time, you don’t have problems with the slow motion vs. regular motion. However, dealing with a trajectory equation is a little bit more difficult that y vs. time. Let me fix it another way.", "label": "Yes"} {"text": "This unit provides students with the opportunity to measure various objects and use their data to determine area, volume, radius, diameter, and density. They will use Math rulers, protractors, and Vernier Calipers to make their measurements rounding to four different scales. They will measure the radius and diameter of a cylinder and use Pi to calculate the area of various cylindrical objects. Students will measure the circumference and determine the surface area of a sphere and using the thickness of the wall of a hollow sphere, determine the volume inside the sphere as well. The mathematical skills emphasized in Intermediate Level Measurement are measuring, collecting data, and calculating for volume, area, and density.\nThis collection is available as downloadable PDFs, but portions of the content are found in wiki format (see WIKI Learning Experiences and Resources) which can be edited or built up with other materials on the same topic by members of the Curriki community.\nMore About CABOCES\nWelcome to the Math, Science, and Technology Department (MST) of Cattaraugus Allegany Board of Cooperative Educational Services (CA BOCES). As a department of Instructional Support Services (ISS), we provide Math, Science, and Technology kits along with support services to meet the needs of the individual districts in our area.\nThe BOCES Teaching and Learning Center at Allegany provides hands-on math, science, and technology kits to over twenty area school districts in Cattaraugus and Allegany counties. Our department provides forty-three different varieties of kit topics. The kits cover topics in math, life science, physical science, chemistry, and earth science. Each kit contains a teacher's manual, student activity book, materials inventory list, instructional video, and materials needed to complete each learning experience. Each kit aligns with the New York State standards and prepares students for the New York State assessments.\nBOCES Teaching & Learning Center @ Allegany\nMath, Science, Technology & Health Dept.\n80 N Fourth St, Third Floor\nAllegany, NY 14706\nPhone: (716)-376-8272; Fax: (716)-372-0621", "label": "Yes"} {"text": "Inserted by Bonny Anderson in Category Kindergarten at Thursday, May 03rd 2018. Labeled with . 63/100 rated by 593 users\nThis p0st section brings along 38 picture of Kindergarten, some of them are including Ks2 Maths Starters. Math Worksheets For 1st Grade Google Search Math Pinterest 14. Ks2 Maths Worksheets Awesome Math 1000 About Javales Math Worksheets. Ks2 Worksheets Maths Counting Money Pinterest Year Pdf Free To 2.\nAll Rights Reserved. Designated trademarks, brands and all uploaded materials by users are the property of their respective owners. Worksheets Kindergarten and Free Printables. All Rights Reversed.\n© 2016 Worksheets Kindergarten and Free Printables, Corp.••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••", "label": "Yes"} {"text": "I need two comments, each part is around 100 words comment.\nThere are a few actions that would be taken in the preliminary investigation of the time series to inform the choice of the forecasting method. Time series incorporates the number of observations collected over a successive period of time. By observing a variable or sets of variables for a specific period of time and record the behavior of the variables, then a trend is established against time. One of the actions that would be undertaken is to identify the values and how they change over time. A large amount of series data is dependent on past values. Current trends provide information about the behavior of variables (Ho & Ting, 2015). Variables such as exchange rates are lagged values that could be regressed over one or many lagged values in order to predict the future and current values of the variable. Missing data can be filled with past data, which can be calculated by taking averages.The second action would be to identify time periods.Time periods can be yearly, monthly, weekly, and daily. When forecasting future data with past data, lag operators could be used in forecasting methods to quantify future, present, and past values that are linked to one another. Further, the univariate time series is a progression of the measurements of the same variables obtained over time. Often, the measurement is made at regular intervals. A major defining characteristic of a time series is that ordering matters. The importance of ordering in time series is that a change in order could also change the meaning of the data due to the dependency. As such, identifying the time periods between values or variables is essential in determining the right forecasting method to use.\nThe classical decomposition is a simple procedure that forms the starting point for most other methods of time series decomposition. Two forms of classical decompositions can be used; multiplicative decomposition and additive decomposition. The additive decomposition method would be preferred when the seasonal variations of variables are relatively constant in the period under consideration. In additive decomposition method, the variance of data does not change over different values of the time series. The trend line is a straight line, the additive approach is a straight line, and the seasonality has the same amplitude and frequency. The individual values are differentiated and added together to model the data. A real-life example that would call for the use of additive decomposition is a business that experiences seasonal variations in sales over specific periods. For example, a business that sells umbrellas is likely to experience a boom in sales during the June-August period. An additive decomposition method would be the most appropriate for the business given that the seasonal variation is about the same magnitude across time.\nThe multiplicative method would be preferred when variation increases over the period under consideration. In this method, seasonal components and the trend are multiplied and then added to the error component. Unlike the additive method, the multiplicative method results to a curved line. A real-life situation that would call for the application of multiplicative decomposition is the forecast of the quarterly earnings of a business. The quarterly earnings data varies significantly based on a range of factors including the strategies of the business, the life-cycle stage, external factors such as regulatory forces and competition. Multiplicative decomposition would be the most appropriate because the seasonality has a decreasing or increasing amplitude and frequency over time.\nQuestion 1: Suppose that you are given a time series and are asked to forecast the values of the time series during one or more of the future periods. Explain a few of the actions that you will undertake as your preliminary investigation of the given time series before you decide which particular forecasting method you should use.\nBeing able to forecast data based on trends and patterns is one of the most powerful tools available in data analytics today. Although there are a variety of methods prior to working with dataset, if I was provided with the opportunity to forecast the values of a given time series during one of more future periods, I would perform the following actions:\n- First, I would review the dataset at a high-level to understand the different components, and the message that the data is intending to deliver. I would particularly look for trends in the data, to get a better sense of this message. In addition, I would want to know the overall data structure, as well as the format of the data within the columns.\n- Next, I would start to manipulate and tidy up the data. I would use a variety of packages such as “dplyr” and “tidyr” to ensure that my data is well-organized and clean for analysis. This would include ensuring that there are no rows or columns with missing values.\n- Finally, I would validate whether the data is ready for a time series analysis. I would ensure there is enough historical data to work with, in the first place. In addition, I would want to know which specific questions the dataset, once analyzed through a time series, can help with answering.\nOnce I have completed performing the above actions, I would have a better understanding of the data. I would then choose the appropriate method for forecasting, which would include either of Moving Average, Regression Analysis, or Exponential Smoothing.\nQuestion 2: In many applications, a time series decomposition (i.e., time series filtering) is used to separate or decompose a time series XtXt into its trend, seasonal, and irregular components. In some of these applications, the decomposition relationship is assumed to be additive; while in other applications the decomposition relationship is assumed to be multiplicative. Explain in what situations you would prefer to use an additive decomposition method, and in what situations you would prefer to use a multiplicative method in your time series decomposition. Furthermore, mention a specific example of a real-life time series that is of interest to some enterprise, and for which you would prescribe a multiplicative decomposition. Note: an additive decomposition of XtXt is a decomposition of the form: Xt=Trendt+Seasonalt+IrregulartXt=Trendt+Seasonalt+Irregulart; and a multiplicative decomposition is a decomposition of the form: Xt=Trendt×Seasonalt×IrregulartXt=Trendt×Seasonalt×Irregulart.\nIn the case of a time series analysis, I would choose between various models depending on whether there is seasonality or not, and whether or not a trend is noticed. If there was no seasonality and no trend, I would choose either the Single Moving Average or the Single Exponential Smoothing models. However, if there was a trend despite no seasonality, I would pick one of the Double Moving Average or Double Exponential Smoothing models. On the other hand, if seasonality was present, but no trend, the Seasonal Additive and Seasonal Multiplicative models would be chosen. If seasonality was present with a trend, I would choose either one of the Holt-Winters Additive or Holt-Winters Multiplicative models.\nDiving deeper in to the Seasonal and Multiplicative models, if I was presented with a time series dataset, for which the dependent variable that changed very slightly over a period of time, and stayed constant for the most part, I would choose the Seasonal Additive Model. On the other hand, if there was a noticeable trend being present over the entire time series, then it would make sense to use the Seasonal Multiplicative Model.\nOne of the most common real-life examples for time-series analysis is the stock market. If there are specific stocks, which increase over time, those stocks become more favourable, and in turn, start to get followed. To understand this relationship more closely, a time series analysis would be used. Given that the change in stock price is seen as a trend over time, the Multiplicative model would be ideal.\nAs a result of the different criteria being presented, I would choose the appropriate models for my time series analysis. By doing so, I would be able to better analyze the relationship of a given independent variable as it changes over time.", "label": "Yes"} {"text": "Chantelle Charline December 1, 2020 Worksheet\nNo matter what materials you choose, it is most important that you supervise your child constantly so that mistakes get caught rather than practiced. I learned this particular lesson the hard way. When my daughter was young, she did something that needed ”attention.” I no longer remember what it was that she did, but I told her to write the sentence ”I will not disobey my parents again” 50 times. I should have known better, but I didn’t check on her at the beginning and then I got busy. So, sometime later, she brought me 50 sentences of ”I will not disobey my parents agen.” She had just practiced misspelling ”again” as ”agen” — 50 times! I’m not certain that we ever really got that fixed.\nHave you ever noticed how many K-12 math content websites are devoted to math worksheets? There seems to be an increase in websites that cater to desperate teachers and parents by offering fast, free ”worksheet generation”, ”10 free fractions worksheets,” etc. Now, as a former teacher I am not saying that one should never use math worksheets; however, I do believe that many teachers are using a very superficial method of instruction that relies too much on low-level math worksheets and hands-off instructional approaches. Worksheet lessons move from reading the directions aloud, to doing sample problems as a group, to completing the worksheet independently (or at home with parents), day in and day out.\nThe math worksheets are specially designed for kids and adults. They are very helpful in improving mathematical aptitude and skills. They can be easily used by school students as well as college goers. They are available from elementary to advanced level. You can also buy customized worksheets. Customized sheets can be planned according to the level of your school going child. You can find several types of sheets online and offline. You can choose among multiplication, Addition, Subtraction, Division, Geometry, Decimal, Shapes and Space worksheets. These sheets help the users to practice mathematical problems. Solving these problems become much easier with the help of mathematical worksheets.\nAnother advantage of these math worksheets is that kids and parents will be able to keep them to serve as their references for review. Since worksheets are easy to correct, students will be able to identify the items and areas that they had mistakes so that they will be able to correct those deficiencies. Keeping record is really a good thing; As a parent, you will be able to go back through them and assess their strong and weak areas. Keeping track you will be able to track your child’s progress as empirical evidence.\nOf course, there is a place for math worksheets. After some instruction has occurred, math worksheets can provide extended practice and support development in fluency, provided the teacher is engaged with students as they work. Teachers who are effective at grouping students can use math worksheets as a springboard for discussions, discovery, and communication. So the next time you do a search for curriculum materials, skip the worksheets. Instead, consider resources that provide interactive experiences or consider sites that provide students with challenging problems. These sites will more likely engage students, foster discussion, and build a true understanding of the purpose and joy of learning math.\nAt the grassroots level, teachers in schools are given a packed curriculum for the year. Schools try to teach the students a number of procedures without delving much into its finer details. Hence, the student is left in a confounding position as to when a particular procedure must be used. The key ingredient to understanding math is constant practice and math assignment help. Unfortunately, this is not a common scenario among the popular math classes.\nTag Cloud10x10 graph paper printable practical money skills math assignment one step multiplication word problems year 1 my cool math games information about decimals identifying 2d shapes worksheet division questions year 6 mathematics interactive games algebra 1 problems worksheet triangle ruler math drills addition the second grade sample lesson plan in math for high schools 6th grade math help basic math skills test for adults 5th grade addition multiplication table practice worksheet good word problems preschool science worksheets", "label": "Yes"} {"text": "Let X be a one-dimensional metric space and ℍ be the Hawaiian earring.(1) Each homomorphism from π1(ℍ) to π1(X) is induced from a continuous map up to the base-point-change isomorphism on π1(X).(2) Let X be a one-dimensional Peano continuum. Then X has the same homotopy type as that of ℍ if and only if π1(X) is isomorphic to π1(ℍ), if and only if X has a unique point at which X is not semi-locally simply connected. (3) Let X and Y be one-dimensional Peano continua which are not semi-locally simply connected at any point. Then, X and Y are homeomorphic if and only if π1(X) and π1(Y) are isomorphic. Moreover, each isomorphism from π1(X) to π1(Y) is induced by a homeomorphism from X to Y up to the base-point-change-isomorphism.\nASJC Scopus subject areas", "label": "Yes"} {"text": "Instructor: Philip Pearce\nEmail: ppearce [at] mit .edu\nOffice: Room 2-231B\nLectures: M W 1:00 - 2:30 pm in 2-146\nOffice Hours: M 4:00 - 5:00pm in 2-231\nGeneral mathematical principles of continuum systems. From microscopic to macroscopic descriptions in the form of linear or nonlinear (partial) differential equations. Exact solutions, dimensional analysis, calculus of variations and singular perturbation methods. Stability, waves and pattern formation in continuum systems. Subject matter illustrated using natural fluid and solid systems found, for example, in geophysics and biology.\nPrerequisites: 18.03 or 18.034; Physics II (GIR)\nText Book: Although there are no textbooks which follow the precise spirit of this course, there are literally hundreds of textbooks where the topics we will cover are discussed. For most lectures, typed notes can be downloaded from the course webpage. Additional material will be handed out in class. One book that will be useful frequently is: D. J. Acheson, Elementary Fluid Dynamics, Oxford University Press (1990).\n[04.24.2017] The midterm is now online here.\n[04.05.2017] Problem set 4 is now online (here).\n[03.15.2017] Problem set 3 is now online (here).\n[03.01.2017] Problem set 2 is now online (here).\n[02.15.2017] IMPORTANT NOTICE: Due to President's Day on Monday 02/20, the next lecture will take place on TUESDAY 02/21.\n[02.15.2017] Problem set 1 is now online (here).\n[02.13.2017] Lecture 2 is cancelled because MIT is shut due to the snow. We will catch up on the topics of Lecture 2 in Lecture 3.\n[02.08.2017] I've added a summary of what we covered in the first lecture to the Schedule page. I will add to this throughout the semester so you always know what we covered and which part of the online notes it is from. I'll also give the sections of the online notes relevant to the next lecture, in case you want to read ahead.\n[02.01.2017] Welcome to the spring semester!", "label": "Yes"} {"text": "min() -- return the smaller of its two arguments\nReturn the minimum of its two argument.\nfor a=1 to 1000\nfor a=1 to 9\nprint a,\": \",m(a)\nFor each iteration of the loop, the lower of two random number is recorded. The result is printed at the end.", "label": "Yes"} {"text": "wake frequency of thermowell\nWake Frequency Calculations for Thermowells, Bizfluent\nThe information required for the completion of wake frequency calculations include the interior diameter of the thermowell, the height of the thermowell and the thickness of the walls of the thermowell. Calculations are completed for periods of dynamic and static movement within the pipeline.\nWake frequency calculation WIKA Polska\nWake frequency calculation per ASME PTC 19.3 TW2016 for standard bar stock thermowells as an engineering service Recommendations for structural changes to the thermowell where the permissible stress limits are exceeded can be derived Description The wake frequency calculation per ASME PTC 19.3 TW2016 is used for solid drilled bar\nWake Frequency for Thermowell, Automation & Control\nMost of the time there is no need to do any wake frequency calculation for the thermowell inside the vessel. ASME PTC 19.3 TW2010, gives the following conditions when wake frequency calculation is not required.\nTechnical Description Wake Frequency Calculations –\nfrequency is no more than 80% of the thermowell harmonic frequency. A great deal of discussion has taken place as to whether Murdock''s formulae are an over simplification of the problem of wake frequency analysis. However, the standards have yet to adopt an improved me thod. It is therefore reasonable, but not\nLUDWIG SCHNEIDER Wakeup frequency calculation\nThe wakeup frequency calculation of the thermowell can be used as a static and dynamic response relative to the operating temperature and pressure.Mathematical proof of strength.\nTHERMOWELL CALCULATIONS TO THE NEW ASME PTC\nThe thermowell design has PASSED the wake frequency calculation “These well design calculations are based on the ASME power test code PTC 19.3 formulas. The results of these calculations should only be used as a guide for thermowell design. Temperature Controls does not guarantee the performance of a specific\nWhite Paper: Thermowell calculations Emerson Electric\nthermowell to be conservative. For an acceptable thermowell design, the ratio of the Strouhal frequency and the natural frequency “shall not exceed” 0.8. The final step is an evaluation of the thermowell length based on the steady state stress. This determines the maximum length the thermowell can be in order to handle the bending stress.", "label": "Yes"} {"text": "|Location:||MSRI: Simons Auditorium|\nFractional order operators appear naturally in several geometric contexts that range from the study of minimal surfaces with boundary to conformal geometry.\nIn this talk I will describe a geometric evolution equation that can be understood as a fractional analog to the Mean Curvature Flow. I will establish some analogies with the classical evolution\nand I will particularly focus on the graphical case.\nThis is joint work with Enrico Valdinoci.No Notes/Supplements Uploaded No Video Files Uploaded", "label": "Yes"} {"text": "We begin by defining the optimization problem. Our objective is to maximize or minimize the sum of objective terms by selecting optimal feasible levels of the independent variables. The set of process limits or constraints define the feasible region. For example, upper and lower limits on the independent variables are constraints on the problems. Additionally, there are dependent variables that aid in defining the objective terms and/or constraints. These dependent variables are functions …show more content…\nGenerate optimal parameter and bound sensitivities to identify areas of model improvement\nJ.D. Terry, Ken Tyner, Bill Docter, John Righi\nIn sensitivity analysis, we determine the optimal sensitivity to parameter changes. These parameters may include prices, process limits, variable bounds, and other problem constants. While shadow values directly quantify the total objective incentive to constraint changes; this invention also analyzes incremental improvements in each objective term and other process variables.\nIn both linear and nonlinear optimization analyses, skilled users may perform sensitivity analysis for individual parameters (see Fiacco 1976; Ganesh and Biegler 1987). This invention improves this by expanding the practice to the systematic sensitivity of all process limits. Furthermore, this invention obtains an advantage by leveraging clever side-by-side layouts to improve individual sensitivity analyses using cross comparisons for more well-rounded analyses.\nBy understanding how problem constants affect the final solution, the user is better equipped to improve the model and the system. These improvements become an intuitive consequence of this module. Moreover, these improvements and the cross comparisons of numerous potential improvements, cause additional insights into the system to be apparent to the", "label": "Yes"} {"text": "Balancing the Books\nLast Tuesday, we came up with the idea of guessing how many books can be placed at the edge 1/10 of the table before they topple down. We realize it takes a little bit more than half the books to be on the table before the pile goes down.\nFirst we estimate that it takes 6 books before toppling down.We carry out an experiment. It actually took 5 books, just as the hint suggested. So it can't be above 5 books to be placed on the edge 1/10 of the table.\nMy friend and I found this an interesting puzzle\nWe used exercise books. Maybe you can try using a thicker book to see whether it works or not. Have fun !\nFind the Balancing the Books puzzle on our puzzle hub.", "label": "Yes"} {"text": "When I heard the learn’d astronomer,\nWhen the proofs, the figures, were ranged in columns before me,\nWhen I was shown the charts and diagrams, to add, divide, and measure them,\nWhen I sitting heard the astronomer where he lectured with much applause in the lecture-room,\nHow soon unaccountable I became tired and sick,\nTill rising and gliding out I wander’d off by myself,\nIn the mystical moist night-air, and from time to time,\nLook’d up in perfect silence at the stars.\nI first encountered this poem in high school English, and I come across it again every few years. I can't explain entirely the rage it summons in me.\nBut maybe this is the point I wish to make. A friend mentioned the Randall-Sundrum model of the universe and I went to that wikipedia page to try to learn what that was. Pretty soon I was desperately linkhopping- I have a basic education in relativity and differential geometry, but pretty basic, and even the vocabulary I did learn at some point, it's been a decade since and I needed to refresh my memory.\nSo I clicked on anti-de-Sitter space and from there to Lorentzian manifold and from there to Riemannian manifold, and I want to point out something about these four articles.\nThe article on Randall-Sumdrum model begins \"In physics\" The article on Anti-de-Sitter Space begins \"In mathematics and physics.\" The articles on Lorentzian Manifold and Riemannian Manifold begin \"In differential geometry.\" There's that tricksy slippage between physics and mathematics Whitman is writing about. Are the learn'd astronomer's \"proofs, the figures,\" his \"charts and diagrams\" a meaningful and interesting representation of the actual stars, or are they just lifeless mathematical models that lack the \"mystical\" potency of observing the stars with the naked untrained eye? Aside from answering this question, though, the distinction is, I think, actually important to doing physics. Because if you theorize that spacetime takes a certain shape that can be modeled by a particular manifold, and then your measurements in an experiment don't match the manifold, you have to consider two different possibilities: One, that spacetime doesn't match your theorized model, and two, that your measurements were inaccurate. But if you're a mathematician working with a manifold and it doesn't match your expectations, only your math is wrong.\nSo this distinction Whitman writes on matters. There are the mathematical models of the stars, and there are the actual stars themselves, and if you forget this you end up confusing the manifold with the spacetime. A physicist needs both to do their work.\nNonetheless, I feel a great rage when I read Whitman's poem, a rage at the idea that the untrained eye bestows a more exciting and therefore truer reality than the subtle delver into the measureable mysteries of the cosmos can attain through experimentation and analysis. This may be dogmatic scientism on my part, but if so, let it be!", "label": "Yes"} {"text": "by Judith Curry\nI spotted this presentation by Arthur Dempster, Harvard statistician, in the Series on Mathematical and Statistical Approaches to Climate Modeling hosted by the Isaac Newton Institute for Mathematical Sciences.\nDempster is widely known as the co-originator of Dempster-Shafer Evidence Theory (see the Wikipedia for an overview). Elements of evidence theory have been discussed on several previous threads (see Italian Flag, reasoning about floods).\nI find this presentation to be quite provocative. Here are some excerpts:\nOne concern is the basic problem of trying to get physicists and statisticians on the same page. Statisticians think of themselves as dealing with data as “information with context”. . . and with statistical models as parts of a complex system of tools for extracting meaning from statistical data. Physicists on the other hand tend to think of models as approximations to scientific truth, with the ultimate goal of research being to arrive at representations and explanations of such truth. The two cultures are very different.\nAlmost in contradiction to their pure science backgrounds, it has become a basic function of physical climate modelers to inform policymakers and other real world stakeholders about possible alternative future climates. When used in this mode, climate models are treated as carriers of information, so move closer to statistical models. Specifically, physical models become interpretable as information when their equations are regarded as approximating relations among the values of actual real world variables at successive points in actual time. Statistical models, should similarly be regarded as describing probabilistic relations among unknown true values of such variables, including probabilistic time dependence.\nApproaching Probabilistic Models: What are the Issues?\nWhat are the problems and prospects for moving from weather to the longer time scales of climate change? What unknowns are predictable probabilistically on longer time scales, and which are not?\nA fundamental issue concerns the nature of uncertainty. All can agree that predictions are uncertain. But what mathematics should be used when computing and reporting predictive uncertainties? Here the divergence of the two cultures is astonishing. Few physicists have training and hence knowledge of how the mathematics of probability, together with its relations to scientific uncertainty, has developed over 300 years into a formidable set of theoretical structures and tools. The identity of the academic discipline of statistics was transformed, especially over the middle decades of the 20th Century, by competing methodologies for addressing scientific uncertainty. This is not the place to delve into explaining what developed, and how there are differing viewpoints, with mine in particular lying outside the statistical mainstream.\nI believe it is fair to say, however, that how physicists approach scientific uncertainty has been scarcely touched by fundamental developments within statistics concerning mathematical representations of scientific uncertainty. An indication of the disconnect is provided by the guidelines used by the IPCC in its 2007 major report, where the terms “likelihood” and “confidence” were recommended for two types of uncertainty reports, apparently in complete ignorance of how these terms have been used for more than 60 years as basic textbook concepts in statistics, having nothing whatsoever in common with the recommended IPCC language (which I regard as operationally very confusing). Another indication is that experts from the statistical research community constituted according to one source only about 1% of the attendees at the recent Edinburgh conference on statistical climatology.\nRoles for Statistical Modeling\nPhysical modelers often refer to two basic sources of uncertainty when interpreting the output of a climate simulator, namely, uncertainty about initial conditions, and uncertainty from discretization, or transform truncation, of space/time variables. From my outsider’s perspective, I would prefer an emphasis on attempting to model and analyze only the unique actual climate system, instead of the current practice of running and analyzing a series of mathematical and therefore artificial climate systems. Of course, the same pair of uncertainty sources arise in the combined physical/ statistical modeling approach that I am advocating.\nMy suggested model type is captured by the term “hidden Markov model”. The thing that is hidden is the actual past, present, and future of the real climate system, which is the domain of physical thinking and modeling that proceeds forward in time, such as may be represented, for example, by the equations of AOGCMs. Since the real processes are hidden, they cannot be directly simulated. Alongside the hidden system there is empirical data also linked to real space/time, and partially obscured from the actual system by observational error. The goal of hidden Markov analysis is to update posterior probability assessments of the true system, including limited ranges of past, present, and future, given stepwise accrual of empirical data. It is these probability assessments that should be updated sequentially. Once models are specified, this becomes a defined computational task for Bayesian or DS analysis. Fast algorithms are known. They may look like simulations from a physical model, but are conceptually different because they sample the posterior probability assessment from fused empirical and theoretical information sources, typically using MCMC methodologies.\nJC comment: hidden Markov models is something new to me, here is the Wikipedia description.\nOne task for the statistical research community is to formulate and implement probabilistic space/time models, from which principles of statistical inference determine posterior probabilistic assessments of the true climate, to whatever level of detail the assumed state space permits. For the past up to the present, hidden Markov analyses, such as the familiar Kalman filter, or more complex versions thereof, fuse the information from the past concerning the actual process with information from the current empirical record. For predicting the future climate, there is no data, so statistical error models are no longer operational. The climate proceeds on its own with probabilistic uncertainty entering only through probabilistic uncertainty about the present state of the actual system. Predictive analysis then proceeds by forward propagation of probabilistic uncertainty.\nThe necessary discreteness of physical models suggests that they might best be regarded as tracking local averages across neighboring space/time regions. Because they are approximations to relations believed to hold for infinitesimal changes across time and space, they reflect model errors arising from the inability to represent natural processes in space/time domains smaller than discretization can capture. Physical modelers typically introduce “parameters” that attempt to adjust difference equations for the missing processes. I sense that statisticians could become more deeply involved in the development of probabilistic representations of such discretization errors, which in effect turn even the non-empirical component of the model into a parametrized stochastic process whose parameters need to be assessed through formal statistical inference tools (e.g., Bayes or DS).\nThe Problem of Chaos\nPresumably most detailed physical climate models of the atmosphere predict chaotic instabilities in the real world climate system, analogous to those that make longer range weather forecasting a low skill enterprise. How might these instabilities impact the task of devising credible probabilistic predictions of long term trends in future climates? My response is to make a radical proposal, linking the recognized difficulty of predicting chaotic systems as the future time horizon grows with a fundamental change in how probabilities should be similarly degraded on a similar time scale.\nThe proposal is based on a weakening of Bayesian theory that I originally developed in a series of papers in the 1960s. Further developments were spearheaded by Glenn Shafer in the 1970s and 1980s ,who gave the theory an AI spin, and named it the theory of belief functions. I now prefer to call the DS (for Dempster-Shafer) calculus. It appears to be gradually gaining increased recognition and respect.A detailed exposition of DS is not possible in this note, but I wish to draw attention to two basic features of the DS system. The first is that probabilities are no longer additive. By this I mean that if p denotes probability “for” the truth of a particular assertion, here some statement about a specific aspect of the Earth’s climate in the future under assumed forcing, while q denotes probability “against” the truth of the assertion, there is no longer a requirement that p + q = 1. Instead these probabilities are allowed to be subadditive, meaning thatingeneral p+q<1.Thedifference1-p-qislabeledr,sothat now p + q + r = 1, with r referred to as the probability of “don’t know”. (Note: each of p, q, and r is limited to the closed interval [0,1].)\nIt is only for the last two years that I have focused on trying to explain what is meant by the DS concept of “don’t know”. I was helped when I ran across a reference to the following remarks by economist John Maynard Keynes, remarks that I believe have not been taken sufficiently seriously:\nBy “uncertain” knowledge, let me explain, I do not mean merely to distinguish what is known for certain from what is only probable. The game of roulette is not subject, in this sense, to uncertainty; nor is the prospect of a Victory bond being drawn. Or, again, the expectation of life is only slightly uncertain. Even the weather is only moderately uncertain. The sense in which I am using the term is that in which the prospect of a European war is uncertain, or the price of copper and the rate of interest twenty years hence, or the obsolescence of a new invention, or the position of private wealth-owners in the social system in 1970. About these matters there is no scientific basis on which to form any calculable probability whatever. We simply do not know. Nevertheless, the necessity for action and for decision compels us as practical men to do our best to overlook this awkward fact and to behave exactly as we should if we had behind us a good Benthamite calculation of a series of prospective advantages and disadvantages, each multiplied by its appropriate probability, waiting to he summed. (Excerpted from “The General Theory of Employment”, Quarterly Journal of Economics, February, 1937, pages 209-223.)\nA second fundamental feature of the DS calculus is a particular “rule of combination”, or principle, for combining information from different sources, such as physical models and empirical data concerning past and present. The DS rule is linked to a DS concept of independence, which might therefore be regarded as a severe restriction on its applicability, except that many special cases of the rule are routinely used with little overt concern about independence, including Bayesian combination of likelihood and prior, and Boolean logical combination. Independence in the mathematics of ordinary additive probabilities is another special case. Most models in the burgeoning field of applied probability can be viewed as constructed from many independent components.\nThe DS rule of combination is a powerfully inclusive tool of probabilistic analysis, with potentially important applications to probabilistic climate prediction. In particular, I hypothesize that DS-style probabilities of “don’t know” could come to be a basic way to separate unpredictable from predictable aspects of climate change. From the DS perspective, Bayesian inference cannot do this in a satisfactory way. An simple illustration may help to support my argument. It is easy to find on the web beautiful discussions and simulations of simple chaotic systems, beginning from the simple 3D model popularized by the late Ed Lorenz. The basic problem is that small perturbations in initial conditions often grow into large perturbations over “time”. A Bayesian approach puts a prior on the initial position, which may be tiny, yet soon is projected forward to a much more spread out marginal distribution. The result is typically a limiting predictive distribution over the whole system. In a weaker DS framework, the prior may simply be a small region about initial point, where you “don’t know” where the true initial condition is in the small region, i.e., you have r = 1 for the (p, q, r) of that region. As time progresses, your predicted “don’t know” region with r = 1 grows, possibly taking over the whole system. It looks to me pretty obvious that the DS option of a logical (i.e., nonprobabilistic) analysis is needed to represent the fade-out of predictability for chaotic systems. Additive Bayesian predictive posterior distributions are unable to function in this way.\nThe Problem of “Complex Systems”\nClimate prediction not only has the problem of nonlinearity in dynamical systems, but also shares with the analysis of typical real complex systems the equally great trouble associated with the presence of a huge panoply of variables, subsystems, and possible feedbacks in play. I remember Rol Madden commenting, back in the 90s when I used to visit NCAR, that it would be a sheer accident if numerical experiments with GCMs were to give credible quantitative representations of the real climate, presumably including future effects of increasing GHG concentrations.\nSuppose that the system was defined at the outset to include the full carbon and hydrological systems. Then add atmospheric and ocean chemistry, and then living and breathing systems everywhere. Much “don’t know” abounds simply about the present and recent past, let alone the fundamental problem of getting quantitative about the future.\nWhat does this say about research priorities? Given the real climate system, characterized not only by fundamental “don’t know” coming from dynamical nonlinearities, but also fundamental “don’t know” coming simply from an inability to supply meaningful evidence-based priors in the presence of complexity, I believe that communities faced with needs for real predictions of complex systems should be investing in models of probabilistic prediction that provide measures of the type of “don’t know” described by Keynes, including the DS approach as a leading candidate for numerical implementations.\nJC comments: there are some powerful and new ideas here of relevance to climate modeling, notably the formal inclusion of “I don’t know”. I don’t quite understand all of this or how it might work in the context of climate modeling, I look forward to your interpretations and discussion.", "label": "Yes"} {"text": "Recent Tutoring Session Reviews\n\"I completed a test review study guide with the student. We reviewed many problems involving areas and perimeters. Some basic trig functions were also utilized. She will do well on her test.\"\n\"We reviewed for the student's chapter 8 exam. We went over the important formulas that she would have to be familiar with in order to answer questions about surface area, lateral area, volume, arc length, sector area, and the segment of a circle. She seemed capable of using the appropriate formula for each question, but would occasionally stumble and incorrectly apply a formula. We will work on that in future sessions. Overall, however, she seemed to have a good grasp of the material.\"\n\"The student has an exam coming up. While last session we reviewed the assigned practice packet, this session we reviewed practice problems that he selected from the book. He seems confident with most of the material that will be presented on the exam. The questions that he had trouble solving at first had an algebraic component to them, and he was able to figure out how to solve them upon review. The majority of this session focused on test-taking strategy, such as not investing too much time on one problem the first time around. It seems like the student is able to work through more difficult problems by skipping them initially and going back to them later.\"\n\"We answered the student's homework about circles. He finished all of the questions. He was refreshed on circles theorem and calculations.\"\n\"The student had another very good session. We are working our way through multiple geometric concepts. Today the focus was on right triangles, area and perimeter, and coordinate geometry. Once he learned the concepts he had no problems. We will meet again on Saturday.\"\n\"The student completed his weekly packet of practice problems. I was happy to find that he had begun the packet and gotten every problem that he tried correct. After completing the packet we worked on problems from his Geometry book to prepare for his finale. He demonstrated that he could properly identify when to use the slope formula and use it correctly. He did the same with the distance formula. I was very happy to see he could now do this without any help. He also has a strong understanding of two-dimensional shapes, which is very important. We will be reviewing for his final for our remaining sessions. He has a good attitude, as always. He seems very pleased with his progress and is gaining confidence, which is great.\"", "label": "Yes"} {"text": "The Ultimate Showdown\nThe goal of this study is to find investigate Olympic discus throwers at their peak performance, and to find out if and when women's performance will pass men's performance, or vice versa. This is done with data from olympic.org, and calculated using linear regression.\nData Table 1\nThis table shows the data of gold medalists from 1972-1984. The data is shown in meters (how far the discus is thrown).\nData Table 2\nData Table 1 continued. Contains data from 1988-2000.\nData Table 3\nThe final table and a continuation of Data Table 2. Contains data from 2004-2012.\nThe Turning Point\nThe women were originally dominating the men in discus, excelling their scores by a fair margin. Though as time passed, women's performance declined, and conversely, men's performance increased. The intersection point of the two lines is the point where men's performance surpasses women's performance, in 1997. Since that is not an Olympic year, men have been outperforming discus since the 2000 Olympics in Sydney, Australia.\nThe X Coordinate\nThis coordinate on the graphs above denote the year that each competition occurs. This is shown in relation to the y coordinate.\nThe Y Coordinate\nThis coordinate on the graphs above describe the distance that the competitors threw the discus in meters. This can produce data when combined with the figures from the x coordinate.\n\"Senior Presentation Discus | Publish with Glogster!\" Glogster. N.p., n.d. Web. 04 Feb. 2015.\n\"Who Makes A Better Leader: A Man Or A Woman?\" Forbes. Forbes Magazine, n.d. Web. 04 Feb. 2015.", "label": "Yes"} {"text": "I’m confident that early conversations concerning Math lead to deeper understanding with Mathematical concepts. It’s appropriate to say to a 3-year-old “How many cookies do you have”? (considering the number is less than five).\nWhile making sandwiches, I might say. “I am making three sandwiches”. Another thing a parent might say, “If I have three apples then, I eat one …. How many apples will I have left?”\nMath is a concept that builds. In my experience, a strong foundation in adding, subtracting, multiplying and dividing usually in that order leads to a lifetime of ease in Mathematical concepts.\nSimply having your child name then count his favorite friends at school not only is a great conversation piece yet, also allows the parent to grasp the conceptual knowledge of the child’s mathematical understanding.\nThis should definitely be age appropriate. A four year with 4 stickers can be expected to count up to the number 4 or 5 with practice. The idea of being able to count simple objects is another skill that comes with practice. For example, if the dad has 3 legos in his hand. Have your child point to each lego counting slowly while pointing to each lego. One to one correspondence is a skill your little one might need a little more practice with; however, with patience and care this skill will be mastered.\nThese early Math conversations as well, as reading books that highlight Math concepts, such a simple counting books — leads to a lifetime of learning.\nThere are so many learning activities that surround play dough. Play dough activities offer a wonderful age appropriate opportunity for learning. Easy play dough recipes can be found online using simple household ingredients.\nSimple counting videos and activities is another great way to encourage mathematical concepts.\nHave Fun With Math,", "label": "Yes"} {"text": "(note: I think OP's issue has more to do with confusing the concepts behind probability theory and random variables than with what \"i.i.d.\" really means. So I'll try to give an informal explanation. For the math of i.i.d., @Taylor's response is quite on point.)\nRandom variables are abstractions that you use to represent non-determinstic problems, not coins, dice, or other \"random objects\". So there are no strict rules saying that one coin toss is $X$, two coin tosses are $X_1$ and $X_2$, etc.\nThe interesting thing about modeling a coin as one single variable $X$ is that it creates an abstraction for all coins, or all possible realizations of a coin tosse. As long as your coin is fair, any time you toss it, you can think of a variable $X$ that follows a Bernoulli distribution.\nIf you are studying a succession of coin tosses, you could come up with the most contrived ways of modeling it. For instance, you could think of a random variable $Y$ that represents all possible outcomes of a sequence of $n$ coin tosses. Or you could do something even weirder, such as a random variable $Y_3$ for the combined outcomes of the first 3 tosses, and another random variable $Y_r$ for the combined outcomes of the remaining tosses.\nBut that would be silly. Why? Because there are two interesting things about tossing a coin $n$ times:\n- each toss does not affect the others (independence);\n- all tosses are identical -- the chance of heads coming up in each toss is always 0.5 (identical distributions).\nSo, to answer your third question:\nOr are $X_1$, $X_2$,..., $X_n$ all considered as random variables if we want to consider them IID?\nYou don't \"consider\" them random variables. There are no such things as $X_1$, $X_2$,..., $X_n$ in the real world and nothing saying that you must think of $X_1$, $X_2$,..., $X_n$ when you think of $n$ coin tosses.\nHowever, when you think of those $n$ variables and their probability distributions, you get to say that they are all i.i.d. because of properties 1 and 2 above. And in probability theory there's all sorts of useful math that other people discovered you can use when you have a collection of i.i.d. variables.\nTo make it clear, these variables are independent because they represent independent events (each $X_i$ is related to a different, independent toss). And they are identically distributed because they all follow the same distribution: the Bernoulli probability distribution with $p=0.5$.\nSo what happened to $X$? Nothing. Notice that you invented those random variables $X_1$, $X_2$,..., $X_n$ because tossing a coin $n$ times is a different problem than tossing a coin a single time. The interesting thing about $X$ is that each variable $X_i$ has, individually, the same properties as your original variable $X$.\nNow back to your remaining questions:\nIf $X$ denote a random variable which means the \"result of a coin toss\" then $x_1$, $x_2$, ..., $x_n$ are the results of repeated coin tossing. Are $x_1$, $x_2$, ..., $x_n$ IID? If yes, how can observations be variables? [...]\nHow can a random sample be IID?\nThe terminology in probability theory can be complicated sometimes, because the concepts are all so closely related. But here's what I (think) I know.\nStrictly speaking, the correct would be to say that $x_1$, $x_2$, ..., $x_n$ are drawn from a collection of i.i.d. variables $X_1$, $X_2$, ..., $X_n$.\nHowever, even though the observations only exist after the coin has been tossed (and therefore it's not random anymore), we are still speaking in general terms. We are talking about any possible situation where you could have those $n$ observations, not about a particular set of observations that you know because you just tossed a coin many times. So we don't know them. We might just as well treat them as random variables.\nTherefore, even though observations are not random variables, it makes sense to associate with them many properties that actually belong to random variables. By extension we can thus say that $x_1$, $x_2$, ..., $x_n$ are i.i.d. because they were all drawn independently and from identical distributions.", "label": "Yes"} {"text": "Tycho plans his running training. Each week he wants to go for a run on the same weekdays. He never wants to go for a run on two consecutive days. But he wants to go for a run two days a week. How many different weekly plans meet those conditions?\nThere are 18 possible weekly plans.", "label": "Yes"} {"text": "First of all we worked out how to make each digit from 0 to 9 as if it were on a calculator. We found out that the number 8 uses the most ice-block sticks, you need 7, and the number 7 and 9 have extra sticks that we didn't expect them to have.\nThen we had to get 10 ice-block sticks each. We checked we had the right number by arranging our sticks into a tally chart.\nThen the challenge was issued.\nMake the biggest number you can out of 10 ice-block sticks.\nWe learnt that to make a really big number you need to make as many digits as you can. Our biggest number was a 5-digit number. It contained all 1s. It was eleven thousand, one hundred and eleven. It was even bigger than four-digit numbers we made with a 7 in them.", "label": "Yes"} {"text": "I've been looking at an erasure code by Luigi Rizzo which is based on Vandermonde matrices, since this code is used in Outernet. In fact, it is the code implemented by the zfec library. Luigi Rizzo describes his code in a paper from 1997, but the paper can be very confusing and misleading because it describes the mathematics in very little detail. I needed to go to the source code to understand how it works. Actually, the idea behind this code is very simple. Here I do a mathematical description of the code and show that it is the same as a Reed-Solomon code. This is rather weird, because Luigi Rizzo makes no mention of Reed-Solomon codes, which were first described in 1960.\nLet be a field. Recall that an linear code over can be given in terms of a generator matrix , which is an matrix with entries in and rank . A message is encoded as , where is computed as (here I always consider vectors as columns). The code is called systematic if has the form\nso that for . Note that this is really a property of the matrix , since the code is defined just as the image of .\nWe are interested in designing an systematic code that works as an erasure code and is able to correct up to erasures. This means that we should be able to compute from even if only of the components of are known. This condition is equivalent to the condition that every submatrix of is invertible. To see this, note that if we regard the equation as a linear system for and consider only the equations for which we know the value of , then we obtain a reduced linear system , where is the vector of the components of which we know and is the correspondent submatrix of . Therefore, needs to be invertible so that we can find in terms of .\nAn idea to find such a matrix is to use Vandermonde matrices. If , the Vandermonde matrix is\nIts determinant is\nso the Vandermonde matrix is invertible if and only if the elements are distinct.\nThe matrix is constructed in the following way: we choose distinct elements and we put\nwrite and define\nso that has the required form to give a systematic code. This matrix satisfies the condition that every submatrix of is invertible, because such a submatrix is of the form , where is the corresponding submatrix of . Note that is a Vandermonde matrix constructed with distinct elements, and hence invertible, so is also invertible. In the intended application, is the finite field with elements, so up to distinct elements can be chosen, and can be at most .\nThe keen reader will have noticed that this construction looks very much like a Reed-Solomon code. In fact, the code described by Luigi Rizzo is the same as a Reed-Solomon code. The only difference is that Luigi Rizzo is only concerned with recovering erasures, which is much easier than recovering errors. The fact that Luigi Rizzo doesn't mention Reed-Solomon codes makes me suspect he didn't have a good knowledge of coding theory. The authors of zfec seem more knowledgeable and they mention that zfec is a Reed-Solomon code, albeit only in some of the comments in the source code. This doesn't seem to be widespread knowledge, so I'll say it again clearly:\nzfec is just a Reed-Solomon code used as an erasure code\nTo see that this code is the same as a Reed-Solomon code, let us recall the systemmatic encoding of Reed-Solomon codes. As above, is the finite field with elements. To construct an Reed-Solomon code over , we choose distinct elements . Given , there is a unique polynomial of degree less than such that for . Indeed, , where the vector is obtained as . Here denotes the Vandermonde matrix as above. The message is encoded to produce , where for . Thus, , where and are defined as above. We see that the systematic generator matrix for this Reed-Solomon code is the same as the generator matrix considered by Luigi Rizzo.", "label": "Yes"} {"text": "Schemes of Work\n0 items -\nShowing 145–160 of 164 results\nSort by popularity\nSort by latest\nSort by price: low to high\nSort by price: high to low\nHighest Common Factor and Lowest Common Multiple\n4 part lesson on finding the highest common factor and lowest common multiple of two or more numbers.\nIndices with Fractional Powers\n4 part lesson on simplifying numbers with negative and fractional powers.\nAdding Fractions with Different Denominators\n4 part lesson on adding fractions with different denominators.\n4 part lesson on converting recurring decimals to fractions.\n4 part lesson on multiplying with fractions and mixed numbers.\nMixed Numbers and Top Heavy Fractions\n4 part lesson on converting between mixed numbers and top-heavy fractions.\nCalculating a Fraction of an Amount\n4 part lesson on calculating a fraction of an amount.\n4 part lesson on calculating equivalent fractions.\nDividing Fractions and Mixed Numbers\n4 part lesson on dividing with fractions and mixed numbers.\n4 part lesson on using equivalent fractions to perform long division.\n4 part lesson on multiplication with decimal numbers using the grid method.\nOrdering Decimal Numbers\n4 part lesson on ordering decimal numbers.\nMultiplying and Dividing by Tens\n4 part lesson on multiplying and dividing by 10, 100 and 1000.\nVolume of a Cone\n4 part lesson on calculating the volume of a cone.\nRounding to a Decimal Place\n4 part lesson on rounding numbers to a given decimal place.\nRounding to Significant Figures\n4 part lesson on rounding numbers to a significant figure.\nMr Mathematics Blog\nTrigonometric Identities Sin, Cos and Tan\nSeptember 15, 2020\nHow to introduce the sin, cos and tan trigonometric identities.\nCalculating a Reverse Percentage\nSeptember 3, 2020\nHow to teach calculating the original amount after a percentage change.\nComparing Datasets using the Mean and Range\nAugust 25, 2020\nThe importance of the range when comparing comparing datasets.", "label": "Yes"} {"text": "I’ll Savor the Chocolate, Unplug the Drama\nHappy Scud Day! Scud stands for Savor the Comic, Unplug the Drama. Relax and enjoy the funnier things in life! It’s also a day to celebrate mathematics, as it’s Math 2 point o Day. Do some math equations just for fun! Finally, have some chocolate and almonds for Chocolate With Almonds Day!", "label": "Yes"} {"text": "Did you know spinning a prize wheel can involve math? Give your child some practice with probability, and he'll determine how likely each outcome of the prize wheel is. This will help him understand the concept of fractions and statistics. Download Free Worksheet. See in a set (9) View answers. Add to collection. Assign digitally. Grade..\nAumentar a chance de drop dos itens equipáveis em 250%.\nFazer com que uma morte conte como x3 no Bosstiary.\nProbability distributions calculator. Enter a probability distribution table and this calculator will find the mean, standard deviation and variance. The calculator will generate a step by step explanation along with the graphic representation of the data sets and regression line.\nPrize WheelProbability. Answer the probability questions related to the prize wheel and the letter cube. 4th through 7th Grades. View PDF. Probability Cards (Intermediate) What is the probability of choosing a particular card from a deck? Requires basic knowledge of standard playing cards.\ncushman ransomes ryan parts\nkawasaki mule keeps stalling\nA lua está cheia! Cuidado, criaturas licantrópicas como werewolves, werefoxes ou werebears vagam pelas terras agora. E eles são mais agressivos e numerosos do que o normal. dynamics 365 trial environment\nThe probability P (stun) of one or more stuns per attack is equal to 1-P (no stun). For a single bullet, the probability of no stun is (1-0.5*0.0125) assuming a hit chance of 50%. Therefore the probability of at least one bullet giving a stun is 1- (1-0.5*0.00125)^40 = 0.0246 or roughly 2.46% per attack.\npurecare cooling hybrid pillow\nEquipamentos de Defesa\nbest willow for living fence\nFerramentas e Outros Equipamentos\nbest overclock settings for rtx 2060 super\nItens de Decoração\nhendrick automotive group corporate structure\nPlantas, Produtos de Animais, Bebidas e Comida\ndrum corps international 2022\nProbability Distributions for SimulationFor experienced modelers, the most challenging task in creating a simulation model is usually not identifying the key inputs and outputs, but selecting an appropriate probability distribution and parameters to model the uncertainty of each input variable. For example, Risk Solver software provides over 40 probability distributions -- so which one.\nSingle Lottery Ticket Function: Now let's calculate the probability of winning with a single ticket purchased. def one_ticket_probability(numbers): total_outcomes = combinations (49, 6) successful_outcome = 1 / total_outcomes. probability_winning = (successful_outcome / total_outcomes) *100.\nLet’s look at a European Roulettewheel. Over a single spin, the odds of a red number coming up are 18/37, or 1 in 2.06. Over 2 spins, the odds of 2 reds coming in are 1 in 2.06×2.06, or 4.24. The odds of seeing 10 reds in succession are 1 in (2.06) to the power of 10 = 1 in 1376.\nYou play a game that involves spinning the money wheel shown. You spin the wheel twice. Find the probability that you get more than $500 on your first spin and then go bankrupt on your second spin. Answer: Question 12. PROBLEM SOLVING You play a game that involves drawing two numbers from a hat.\nLottery Wheel and Number Patterns in Unison. The lottery wheel is all about \"combinatorics.\" The combinatorial pattern is all about \"probability.\" In mathematics, these two concepts are separate fields because each concept serves a different application in real life. So we shouldn't say \"probability versus combinatorics.\"\nPlay A Spinning Wheel For Cash Prizes At Funzpoints Get a free spin every four hours at Funzpoints Casino for a chance to win a piece of the $1,000 daily prize pool. Funzpoints is a sweepstakes casino that accepts players in almost all US states, including California, New York, Texas, and Florida.\nThe players can bet on any number from 0 to 36. For example, let's say that Kriti bets £100 on the number 5. Now, a ball will be dropped into the wheel, which is then given a spin. If the ball lands on the pocket marked 5, Kriti will win (£100) * 36 = £3,600, resulting in net winnings of £3,600 - £100 = £3,500. However, if the ball ...", "label": "Yes"} {"text": "For a fire is kindled in My anger, And shall burn to the lowest hell; It shall consume the earth with her increase, And set on fire the foundations of the mountains.(Deuteronomy 32:22) NKJV\nIt’s very useful to know the volume of material in the Earth’s crust and mantle, but before we move on it’s also worthwhile to note that the Earth’s crust and mantle have several Biblical synonyms.\nCrust and Mantle, Synonyms\n|bottoms of the mountains||לְקִצְבֵ֤י הָרִים֙||qetseb har||Jonah 2:6|\n|foundations of the hills||וּמוֹסְדֵ֣י הָרִ֣ים||mowcadah har||Psalms 18:7|\n|foundations of the mountains||וּמוֹסְדֵ֣י הָרִ֣ים||mowcadah har||Deut. 32:22|\n|foundations of the world||מוֹסְד֪וֹת תֵּ֫בֵ֥ל||mowcadah tebel||Psalms 18:15|\nThis isn’t a particularly complex problem. We can estimate the volume of material that’s in the earth’s mantle at the present time by using the boundaries of the regions of the earth that we get from seismological data.\nIf we assume that this volume of material was a hollow sphere, of which the inner radius is the same as the present day earth surface, then we can calculate the radius of the earth on the 3rd day. There is a useful tool that helps with these calculations which may be found here.\nEarth, Present Day (values)\n|Earth, Present Day||Approx. radius (km)||v||Approx. volume (m3)|\n|Inner surface of mantle||4,100||v2||2.89E+11|\n|Mantle material (v1-v2)||v3||7.95E+11|\n|3rd day total volume (v1+v3)||7,653||v4||1.88E+12|\nVolume of Earth’s Mantle\n|Earth total volume||p||6,371 km||1.08E+12 m3|\n|Volume of core and great gulf||g||4,100 km||2.89E+11 m3|\n|Volume of mantle material||p-g (m)||7.95E+11 m3|\nThe total volume of present day Earth is 1.08E+12 m3\nThe volume of material in the crust and mantle is found by subtracting the volume of a sphere of radius 4,100 km from the volume of a sphere of radius 6,371 km\nThe area between the lower mantle and the core is open space, the great gulf. There’s no inner and outer core. That’s just a contrivance of popular science (SciPop) to make it seem like they know what they’re talking about, and they want to believe (and they want you to believe) that there’s no hell. The core is hell. This isn’t a euphemism.", "label": "Yes"} {"text": "CAN MONEY BUY SUCCESS?\nWe all know money can't buy love or happiness. In professional sports, can spending more money on players buy a team more success? Let's analyze this question for the NFL, NBA, and MLB.\nDoes a Larger Payroll Buy Success in the NFL?\nIn chapter 40 we learned how to calculate offensive and defensive power ratings for NFL teams. For example, an offensive team rating of + 3 means a team (after adjusting for the strength of opposition) scores 3 points more than average and a defensive rating of −5 means that (after adjusting for the strength of opposition) that a team gives up 5 fewer points than average. For the 2001–4 seasons we tabulated the amount of money each NFL team paid their offensive and defensive personnel. ...", "label": "Yes"} {"text": "A subject of growing interest in mathematics education is the affective domain and its effects on the teaching and learning processes, giving rise to different models of its components and conditioning factors. In this paper, we apply the ontological and semiotic categories from the Onto-Semiotic Approach (OSA) to research in mathematics education, to build an inclusive and systematic model to consider affective situations, practices, objects and processes, as well as the corresponding dualities: personal – institutional, ostensive – non-ostensive, extensive – intensive, unitary – systemic, expression – content. The dynamic character of affects (emotions, attitudes, beliefs and values) and their relations with the epistemic, cognitive, interactional and resources is modelled by the didactical configuration and didactical trajectory notions, theoretical tools which include the affective sub-configuration and sub-trajectory as key components. Another result obtained from this work is the revision of the indicators of affective suitability proposed in previous works.\nBeltrán-Pellicer, P., & Godino, J. D. (2020). An onto-semiotic approach to the analysis of the affective domain in mathematics education. Cambridge Journal of Education, 50(1), 1-20. DOI: 10.1080/0305764X.2019.1623175", "label": "Yes"} {"text": "John Smolin coined the phrase \"Going to the Church of the Larger Hilbert Space\" for the dilation constructions of channels and states, which not only provide a neat characterization of the set of permissible quantum operations but are also a most useful tool in quantum information science.\nAccording to Stinespring's dilation theorem, every completely positive and trace-preserving map, or channel, can be built from the basic operations of (1) tensoring with a second system in a specified state, (2) unitary transformation, and (3) reduction to a subsystem. Thus, any quantum operation can be thought of as arising from a unitary evolution on a larger (dilated) system. The auxiliary system to which one has to couple the given one is usually called the ancilla of the channel. Stinespring's representation comes with a bound on the dimension of the ancilla system, and is unique up to unitary equivalence.\nStinespring's dilation theorem\nWe present Stinespring's theorem in a version adapted to completely positive and trace-preserving maps between finite-dimensional quantum systems. For simplicity, we assume that the input and output systems coincide. The theorem applies more generally to completely positive (not necessarily trace-preserving) maps between C * − algebras.\n- Stinespring's dilation: Let be a completely positive and trace-preserving map between states on a finite-dimensional Hilbert space H. Then there exists a Hilbert space and a unitary operation U on such that\n- for all , where denotes the partial trace on the system.\n- The ancilla space can be chosen such that . This representation is unique up to unitary equivalence.\nIt is sometimes useful not to go to a larger Hilbert space, but to work with operators between the input and output Hilbert spaces of the channel itself. Such a representation can be immediately obtained from Stinespring's theorem: We introduce a basis of the ancilla space and define the Kraus operators tk in terms of Stinespring's unitary U as\nThe Stinespring representation then becomes the operator-sum decomposition or Kraus decomposition of the quantum channel T:\n- Kraus decomposition: Every completely positive and trace-preserving map can be given the form\n- for all . The Kraus operators satisfy the completeness relation .\nPurification of quantum states\nwhere is a pure state on the combined system . In other words, every mixed state can be thought of as arising from a pure state on a larger Hilbert space. This special version of Stinespring's theorem is usually called the GNS construction of quantum states, after Gelfand and Naimark, and Segal.\nFor a given mixed state with spectral decomposition , such a purification is given by the state\nReferences and further reading\n- M. A. Nielsen, I. L. Chuang: Quantum Computation and Quantum Information; Cambridge University Press, Cambridge 2000\n- K. Kraus: States, Effects, and Operations; Springer, Berlin 1983\n- E. B. Davies: Quantum Theory of Open Systems; Academic Press, London 1976\n- V. Paulsen: Completely Bounded Maps and Operator Algebras; Cambridge University Press, Cambridge 2002\n- M. Keyl: Fundamentals of Quantum Information Theory; Phys. Rep. 369 (2002) 431-548; quant-ph/0202122\n- W. F. Stinespring: Positive Functions on C * − algebras; Proc. Amer. Math. Soc. 6 (1955) 211\n- I. M. Gelfand, M. A. Naimark: On the Imbedding of Normed Rings into the Ring of Operators in Hilbert space; Mat. Sb. 12 (1943) 197\n- I. E. Segal: Irreducible Representations of Operator Algebras; Bull. Math. Soc. 61 (1947) 69", "label": "Yes"} {"text": "Hi, I've been looking for some of the early work done on transitting theory for the detection of extrasolar planets. I am especially interested in the calculation of the transitting time. The only equation I have so far come across is... T/P=(1/pi)*arcsin(R*/a) in the paper by Rivera et al 2005 on the detection of GJ 876d. It strikes me that this equation (although not formally stated in the paper) is only an approximate (and was unreferenced so I can't trace where it came from). If anyone knows of a more exact equation and some work which has been done on this subject, please post a reference. Thanks.", "label": "Yes"} {"text": "Math Sprints Workbook 3 - Blemished\nAll blemished items are final sale.\nMath Sprints Workbooks help students develop mental math fluency. The Workbook consists of differentiated sprints, which may be presented to students as fun, timed games. These sprints will help them build speed and accuracy. The material includes some basic math facts, but mostly goes beyond math facts to other mental math skills. If your student’s mental math fluency is not at level, build their confidence by starting with a Workbook from an earlier grade. The series can supplement any Singapore math curriculum, and is meant for one-on-one instructional use.\nDimensions: 8.5 x 11 x 0.25 in\nAnswer Key: Included in the back of the book\nLevel: On Level\nDimensions Math® PK-5\nRigorous content and appealing design define our flagship program. This series is as enjoyable to use as it is effective in instilling a rock-solid math foundation.", "label": "Yes"} {"text": "2nd Grade Word Problems - Math Mystery-Case of the Silly Snow Day\n- Free worldwide shipping\n- In stock, ready to ship\n- Inventory on the way\nClick here for the DIGITAL VERSION! This is a fun way for 2nd graders to practice solving word problems in a unique way. Kids start reading at the beginning of the book, solve the problems, and go where the book tells them to go! If they get the wrong answer, they will have a 'stopper' that will tell them to go back to where they were working, and TRY AGAIN!\nThis mystery includes these skills:\n*Reading a thermometer\n*Using tally marks and reading graphs\n*Even & odd numbers\n*Simple elapsed time\nI use these mysteries at my math stations during guided math. I am sure your kids will love this winter themed math mystery book as much as mine do! What the next mystery will bring?\nSign up for my newsletter and receive a FREE reference dictionary for your kids!\nUse collapsible tabs for more detailed information that will help customers make a purchasing decision.\nEx: Shipping and return policies, size guides, and other common questions.", "label": "Yes"} {"text": "The description of Scientific Calculator\nPowerCalc is a powerful Android scientific calculator with real look. It is one of the few Android calculators with complex number equations support. Features:\n* Real equation view editor with brackets and operator priority support * Component or polar complex entry/view mode * Equation and result history * 7 easy to use memories * Large universal/physical/mathematical/chemical constant table * Degrees, radians and grads mode for trigonometric functions * Fixed, scientific and engineering view mode * Easy to use with real look * Perform mathematical operations for mathematical equations * For engineering or graphical calculations\nWould you like to have multiline equation editor with equation syntax highlightiting, actual bracket highlighting and trigonometric functions of complex argument support? Upgrade to PowerCalc Pro. * Multiline equation editor * Equation syntax highlighting * Actual bracket highlitghing * Trigonometric functions with complex argument support\nCaller ID feature\nScientific Calculator has free caller ID. It identifies callers for you – even the ones not in your contact list. Caller ID results are shown after calls and also allow you to save the contact details directly to your address-book.\nYou can disable or adjust caller ID to your preferences in the app menu settings (enter the app and hold Shift+Options) or after-call screen settings at any time.\nDownload our powerful & advanced scientific calculator app now!\nFound bug? Please contact us to fix it.If you find PowerCalc useful please upgrade to PowerCalc Pro to support further development. Thank you!\nHow to play Scientific Calculator on PC\nDownload and Install MuMu Player Android Emulator. Click here to download: Download(FREE)\nRun MuMu Player Android Emulator and login Google Play Store\nOpen Google Play Store and search Scientific Calculator Download\nInstall Scientific Calculator and start it\nWell done! Now you can play Scientific Calculator on PC, just like Scientific Calculator for PC version.", "label": "Yes"} {"text": "The Counting 2 exercise appears under the ***. This exercise used to be on one of the missions under The World of Math, but it was removed due to reordering, renaming, or other changes. This exercise plays with some of the counting techniques.\nTypes of Problems\nThere are three types of problems in this exercise:\n- Combination: This problem has a selection from a group of objects where order is not relevant. The student is asked to fid out how many possibilities there are in the situation.\n- Multiplication principle: This problem has a situation described where multiple selection are needed. The student is asked to find the number of total possibilities.\n- Arithmetic sequence: This problem describes a person counting from a certain number by a certain amount. The student is asked to find the number that the counter will stop on.\nThis exercise is easy to get accuracy badges and speed badges because although the numbers change, the problems themselves are very consistent in their difficulty. User just needs to learn how to do the three types.\n- The Combination problem seems to always be handshakes. If it is, a combination where user chooses two can be performed by taking the given number of people, subtracting one, multiplying those numbers together, and dividing by two.\n- The multiplication principle means to take the possible outcomes for each part of the event, and multiply those numbers together for the total number of possibilities.\n- For the Arithmetic sequence problem user can use arithmetic sequences from pre-calculus. In other words, take the first number and add the product of the difference between numbers and one less than the term that they want.\n- Knowing how to count is essential for learning algebra and the higher maths, and counting is used for almost everything humans do.", "label": "Yes"} {"text": "View all lessons\nOrdering and comparing numbers beyond 1000\nIn this lesson, we will look at how to work out whether a number is greater than or less than another number. We will also order and compare numbers.\nActivate - 3 Questions\nCheck - 3 questions\nLet's get ready", "label": "Yes"} {"text": "- Open Access\nGeneralized Meixner-Pollaczek polynomials\n© Kanas and Tatarczak; licensee Springer 2013\n- Received: 4 February 2013\n- Accepted: 22 April 2013\n- Published: 7 May 2013\nWe consider the generalized Meixner-Pollaczek (GMP) polynomials of a variable and parameters , , , defined via the generating function\nWe find the three-term recurrence relation, the explicité formula, the hypergeometric representation, the difference equation and the orthogonality relation for GMP polynomials . Moreover, we study the special case of corresponding to the choice and , which leads to some interesting families of polynomials. The limiting case () of the sequences of polynomials is obtained, and the orthogonality relation in the strip is shown.\nMSC:33C45, 30C10, 30C45, 39A60.\n- Meixner-Pollaczek polynomials\n- difference equation\n- generating function\n- orthogonal polynomials\n- Fisher information\nThe importance of follows from the extremality for the famous Bieberbach conjecture. The Koebe function is univalent and starlike in and maps the unit disk onto the complex plane minus a slit .\nwas extensively studied by Pommerenke , who investigated a universal invariant family .\nThe definition of was extended for a nonzero complex number α by Yamashita . The classical result of Hille ascertains that is univalent in if and only if is in the union A of the closed disks and . Making use of geometric properties, Yamashita described how tends to be univalent in the whole as α tends to each boundary point of A from outside.\nObviously, we have .\nLet denote the moment functional that is a linear map . A sequence of polynomials is an orthogonal polynomials sequence (OPS) with respect to if has degree n, for and for all n.\nwhere , , the numbers and are constants, for and is arbitrary (see [, Ch. I, Theorem 4.1]). The sequences of orthogonal polynomials are symmetric if for all n (see [, Ch. I, Theorem 4.3]) or that in (2.1) are all zero.\nPolynomials with exponential generating functions are among the most often studied polynomials. One of them is the Meixner-Pollaczek polynomials. The Meixner-Pollaczek polynomials were first invented by Meixner . The same polynomials were also considered independently by Pollaczek . These polynomials are classified in the Askey-scheme of orthogonal polynomials [6, 11].\nSome of the main properties of these polynomials are presented in Erdélyi et al. , Chihara , Askey and Wilson and in the report by Koekoek and Swarttouw . Detailed analyses with applications of these polynomials are also made by several authors. Among others, the works of Rahman , Atakishiyev and Suslov , Bender et al. , Koornwinder and the extensive work of Li and Wong may be included.\nThis paper is mainly concerned about the generalized Meixner-Pollaczek (GMP) polynomials. We also study the special cases of , corresponding to the choice and , which lead to some interesting families of polynomials.\nIn this section we find the three-term recurrence relation, the explicité formula, the hypergeometric representation, the difference equation and the orthogonality relation for (GMP) polynomials .\n- (a)satisfy the three-term recurrence relation\n- (b)are given by the formula(3.1)\n- (c)have the hypergeometric representation(3.2)\n- (d)Let . The function satisfies the following difference equation:(3.3)\nWe differentiate the formula (1.2) with respect to z, and after multiplication by , we compare the leading coefficients of .\n- (b)The Cauchy product of the power series\n- (c)Applying the formula from [, vol.1, p.82],\n- (d)Inserting and instead of x into the generating function (1.2), we find that\nwhich together with (3.4) gives (3.3).\nComparing both sides of the above, we get the equality (3.9). □\nthen (3.10) is a natural consequence. □\nLet us consider now the case . We observe that such a case leads to the very interesting family of symmetric polynomials. Some special cases of are known in the literature for . These are the symmetric Meixner-Pollaczek polynomials, denoted by , . For instance, Bender et al. and Koornwinder have shown that there is a connection between the symmetric Meixner-Pollaczek polynomials and the Heisenberg algebra. Another example is , where the symmetric Meixner-Pollaczek polynomials are considered.\n- (a)the system satisfies\nthe sequence of polynomials is an orthogonal basis in the Hilbert space ,\nthe norm of polynomials is if and 1 if .\n- (a)By (4.2) we have\n- (b)In order to prove the orthogonality of polynomials and compute their norms, it suffices to show that(4.3)\n- (c)In the light of (a) and equation (4.3), we have\nComparing the coefficients of the powers of s and , we obtain the desired result. □\naround a closed contour K about the origin with radius less than 1.\n- (a)The QMP polynomials satisfy the three-term recurrence relation\n- (b)The polynomials are given by the formula\n- (c)The polynomials have the hypergeometric representation(5.1)\n- (d)The polynomials satisfy the following difference equation:\n- (e)The polynomials are orthogonal on with the weight\nIn this work we use the ideas of to compute the Fisher information of QMP polynomials.\nwith defined as in (5.3).\nProof For GMP we have .\nand the result follows. □\n- Robertson MS: On the theory of univalent functions. Ann. Math. 1936, 37: 374–408. 10.2307/1968451View ArticleGoogle Scholar\n- Pommerenke C: Linear-invariant Familien analytischer Funktionen. Math. Ann. 1964, 155: 108–154. 10.1007/BF01344077MathSciNetView ArticleGoogle Scholar\n- Yamashita S: Nonunivalent generalized Koebe function. Proc. Jpn. Acad., Ser. A, Math. Sci. 2003, 79(1):9–10. 10.3792/pjaa.79.9View ArticleGoogle Scholar\n- Hille E: Remarks on a paper by Zeev Nehari. Bull. Am. Math. Soc. 1949, 55: 552–553. 10.1090/S0002-9904-1949-09243-1MathSciNetView ArticleGoogle Scholar\n- Campbell DM, Pfaltzgraff JA:Mapping properties of . Colloq. Math. 1974, 32: 267–276.MathSciNetGoogle Scholar\n- Koekoek, R, Swarttouw, RF: The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue. Report 98–17, Delft University of Technology (1998)Google Scholar\n- Naraniecka I, Szynal J, Tatarczak A: The generalized Koebe function. Tr. Petrozavodsk. Gos. Univ. Ser. Mat. 2010, 17: 62–66.MathSciNetGoogle Scholar\n- Chihara TS: An Introduction to Orthogonal Polynomials. Gordon and Breach, New York; 1978.Google Scholar\n- Meixner J: Orthogonale Polynomsysteme mit einer besonderen Gestalt der erzeugenden Funktion. J. Lond. Math. Soc. 1934, 9: 6–13.MathSciNetView ArticleGoogle Scholar\n- Pollaczak F: Sur une famille de polynomes orthogonaux qui contient les polynomes d’Hermite et de Laguerre comme cas limites. C. R. Acad. Sci. Paris 1950, 230: 1563–1565.MathSciNetGoogle Scholar\n- Askey R, Wilson J: Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials. Mem. Am. Math. Soc. 1985., 54: Article ID 319Google Scholar\n- Erdélyi A, et al. I. In Higher Transcendental Functions. McGraw-Hill, New York; 1953. Bateman Manuscript Project.Google Scholar\n- Rahman M: A generalization of Gasper’s kernel for Hahn polynomials: application to Pollaczek polynomials. Can. J. Math. 1978, 30(1):133–146. 10.4153/CJM-1978-011-7View ArticleGoogle Scholar\n- Atakishiyev NM, Suslov SK: The Hahn and Meixner polynomials of an imaginary argument and some of their applications. J. Phys. A, Math. Gen. 1985, 18: 1583–1596. 10.1088/0305-4470/18/10/014MathSciNetView ArticleGoogle Scholar\n- Bender CM, Mead LR, Pinsky S: Continuous Hahn polynomials and the Heisenberg algebra. J. Math. Phys. 1987, 28(3):509–513. 10.1063/1.527635MathSciNetView ArticleGoogle Scholar\n- Koornwinder TH: Meixner-Pollaczek polynomials and the Heisenberg algebra. J. Math. Phys. 1989, 30(4):767–769. 10.1063/1.528394MathSciNetView ArticleGoogle Scholar\n- Li X, Wong R: On the asymptotics of the Meixner-Pollaczek polynomials and their zeros. Constr. Approx. 2001, 17: 59–90.MathSciNetView ArticleGoogle Scholar\n- Poularikas AD: The Handbook of Formulas and Tables for Signal Processing. CRC Press, Boca Raton; 1999.Google Scholar\n- Araaya, TK: The symmetric Meixner-Pollaczek polynomials. Uppsala Dissertations in Mathematics, Department of Mathematics, Uppsala University (2003)Google Scholar\n- Fisher RA: Statistical Methods and Scientific Inference. Hafner Press, New York; 1973.Google Scholar\n- Friden BR: Science from Fisher Information. Cambridge University Press, Cambridge; 2004.View ArticleGoogle Scholar\n- Zheng G, Gastwirth JL: Fisher information in randomly sampled sib pairs and extremely discordant sib pairs in genetic analysis for a quantitative trait locus. J. Stat. Plan. Inference 2005, 130(1–2):299–315. 10.1016/j.jspi.2003.08.019MathSciNetView ArticleGoogle Scholar\n- Dominici D: Fisher information of orthogonal polynomials. J. Comput. Appl. Math. 2010, 233(6):1511–1518. 10.1016/j.cam.2009.02.066MathSciNetView ArticleGoogle Scholar\nThis article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.", "label": "Yes"} {"text": "Once logged in, you can add biography in the database\nMichael Kadets, Ukrainian mathematics educator. Member American Mathematics Society, Kharkov Mathematics Society.\nto access the full content\nNovember 30, 1923\nKiev, Ukraine, Union of the Soviet Socialist Republics", "label": "Yes"} {"text": "The only background you need is basic series and calculus. lol it did not even take me 5 minutes at all! access to our ebooks online or by storing it on your computer, you have convenient by Dimitri P. Bertsekas and John N. Tsitsiklis. \", \"Tsitsiklis and Bertsekas leave nothing to chance. answers with Introduction To Probability Bertsekas Additional Problems Solutions . The main new feature of the 2nd edition is thorough introduction to Bayesian and classical statistics. stochastic processes, statistical inference, and It's easier to figure out tough problems faster using Chegg Study. \"Probabilistic Systems Analysis,\" an introductory be the probability of winning against the opponent, th turn. The book strikes U. of Texas at Austin, This is, however, wrong, because given that heads came up, it is more likely that the two-headed coin was chosen. Thus, the equality of part (b) is verified. Solutions (last updated 5/15/07), Supplementary problems Other readers will always be interested in your opinion of the books you've read. Columbia U., Bernoulli, Poisson, and Markov processes, Bayesian inference, and an introduction to classical statistics. a balance between simplicity in exposition and sophistication in We have made it easy for you to find a PDF Ebooks without any digging. The correct reasoning is to calculate the conditional probability NorthEastern U., I get my most wanted eBook. Rice U., This is its main strength, deep explanation, and not just examples that \"happen\" to explain. course. Some of the more mathematically rigorous analysis has The chapter on estimation, added for the second edition, is some of the most interesting material in the book, and covers both frequentist and bayesian estimation. XD. Finally I get this ebook, thanks for all these Introduction To Probability Bertsekas Additional Problems Solutions I can get now! This is the currently used textbook for in the. (a) Each possible outcome has probability 1/36. graduate students. I highly recommend \"Introduction to Probability\" to anyone preparing to teach an introductory course on Iowa State U., probability course at the Massachusetts Institute of Technology, For the 1st Edition: Problem nevertheless Finally I get this ebook, thanks for all these Introduction To Probability Bertsekas Additional Problems Solutions I can get now! Then, you will win the tournament if you win against the 2nd, ) and also you win against at least one of the two other players, 3) is optimal if and only if the above probability is no less than the. For the 2nd Edition: Supplement on the bivariate normal distribution U. of Pennsylvania, This book (by two well-known MIT professors of Electrical Engineering) is a wonderful treatment in terms of (at the level of advanced calculus) in the numerous solved 2007), and Stochastic Optimal Control: The Discrete-Time Introduction To Probability Bertsekas Additional Introduction to Probability, 2nd Edition. --Vladimir Botchev, Analog Dialogue Several other reviews can be found in the listing of the first edition of this book. its style (simple informal explanations, motivating discussions, frequent notes of a historical/philosophical stochastic systems, probability, and stochastic processes. nature); its selection of topics (the basics, mainly, usually from the most useful perspective); its rigor and South Africa (University of Cape Town), Taiwan, and Turkey (Bilkent, University, Isik University, Koc University). The length of the book has increased by about 25 percent. Daily email subscriptions and social media profiles are also available if you don't want to check their site every day. Download Introduction To Probability Bertsekas Additional Problems Solutions - the notes for self-study We have additional problems, suitable for homework assignment (with solutions), which we make available to instructors Our intent is to gradually improve and eventually publish the notes as a textbook, and your comments will be appreciated Dimitri P Bertsekas bertsekas@lidsmitedu John N Tsitsiklis … The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject, as well as the fundamental concepts and methods of statistical inference, both Bayesian and classical. The book covers the fundamentals of probability theory selection of homework, recitation, and tutorial problems) that is used website, and it does! XD. Book Mediafile Free File Sharing ebook, you need to create a FREE By the additivity and normalization axioms, 1 = 3, The outcome of this experiment can be any finite sequence. Probability Bertsekas Additional Problems SolutionsThe eReader Cafe has listings every day for free Kindle books and a few bargain books. The 2nd edition is a substantial revision of the 1st edition, involving a reorganization of old material and the addition of new material. No need to wait for office hours or assignments to be graded to find out where you took a wrong turn. only takes 5 minutes, try any survey which works for you. Solution to Problem 1.6. very interesting recent book by E. Jaynes); and its humor. In this problem, there is a tendency to reason that since the opposite face is either heads or tails, the desired probability is 1/2. We first determine the probabilities of the six possible outcomes. This is why you remain in the best website to see the amazing ebook to have. Massachusetts Institute of Technology, \"...it \"trains\" the intuition to acquire probabilistic feeling. Introducing Textbook Solutions. These topics include transforms, sums of random variables, It may takes up to 1-5 minutes before you received it. RPI, Solution to Problem 1.16. The 2nd Edition includes two new chapters with a thorough coverage of the central ideas of Bayesian and classical statistics. For the 2nd Edition: Problem Carnegie Mellon U., Many thanks. Berkeley, There are 6 possible outcomes that are doubles, so the probability of doubles is 6=36 = 1=6. and enhance its mathematical foundation (solutions are included in a genius and a chocolate lover, respectively. The file will be sent to your Kindle account. I get my most wanted eBook. you need to create a FREE account. Solution to Problem 1.14. multiple random variables, and limit theorems), which are typically part Is supplemented by additional web-based unsolved problems. Written by two professors of the Department of Electrical Engineering and Computer Science at the Massachusetts Institute of Technology, and members of the prestigious US National Academy of Engineering, the book has been widely adopted for classroom use in introductory probability courses in the U.S., including: U. Arizona, \", Excerpts from reviews posted at Amazon.com. This is a must buy for people who would like to learn elementary probability.\nSchool Subjects Worksheet, Valerian Deep Sleep Tea, Nature's Truth Essential Oils Review, Bosch Mouse Sander Pads, Benefits Of Green Tea Weight Loss, Southside Market Elgin, Handel Concerto Grosso Op 6 No 11, Where Can I Buy Powerade Zero, Is Ginger Beer Alcoholic, Lancome La Vie Est Belle Body Cream, Pigs Animal Crossing, Herbalife Shake Reviews,", "label": "Yes"} {"text": "Schaum Outline Of Macroeconomics Pdf Free Download\nTitle: Schaum Outline Macroeconomics Author: D.. Schaum's outline of theory and problems of vector analysis and an introduction . Ebooks Schaum Series Introduction To Mathematical Economics Free Download Pdf , .\nSchaum's Outline of Calculus, 6th Edition PDF Free Download, Reviews, Read Online, ISBN: 0071795537, By Elliott Mendelson, Frank Ayres\nmathematical economics, mathematical economics free ebook download as pdf file .. 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The programme will involve high quality professional development for teachers.\nFor schools in the Mastering Number Programme, children in Reception, Year 1 and Year 2 will have a daily teacher-led session of 10 to 15 minutes, designed to ensure that pupils develop fluency with, and understanding of, number that is crucial to future success in maths and academic progress more generally.\nWho can take part?\nLead participants from Work Group schools will be three teachers, one each from Reception, Year 1 and Year 2, with some support given to subject leaders and headteachers.\nThis programme is open to all state-funded primary schools in England. If oversubscribed, priority for places will be given to schools with a high proportion of disadvantaged children.\nWhat is involved?\nAll lead participants will be supported by central training and resources. There is an expectation that they will provide a daily teaching session for all children of 10 to 15 minutes, in addition to their normal maths lesson. There is also the expectation that they will contribute to an online community to share practice and engage in critical reflection.\nIn this short video, Debbie Morgan, the NCETM’s Director for Primary, explains how the abacus-like rekenrek can be used to help children develop confidence and fluency with number. Use of a rekenrek is one element of the Mastering Number Programme, and participating schools will be provided with sets of the equipment free of charge.\nWe’ve produced a flyer summarising the programme – Download it to share with colleagues in your own and other schools.\nWhat will you learn?\n- develop skills in working in a professional learning community, reflecting with other colleagues on their own practice, and refining skills through support and challenge within a community\n- develop a secure understanding of how to build firm mathematical foundations with a stronger subject and pedagogical understanding for EYFS and KS1\n- work to develop intentional teaching strategies focused on developing fluency in calculation and number sense for ALL children\n- develop understanding and their use of appropriate manipulatives to support their teaching of mathematical structures\nWhat is the cost?\nMastering Number is fully funded by the Maths Hubs Programme so is free to participating schools.", "label": "Yes"} {"text": "What is YSPA?\nYSPA is a 4-week residential research and enrichment program for 32 rising high school juniors and seniors who are interested in astronomy, physics, math, computer programming, and other science and tech fields. Students take classes in physics, math, and astronomy, complete a scientific research project using telescopes at Yale, learn the basics of computer programming and data science, and present their results at the end of the program. YSPA has a small student-to-faculty ratio (32:6), so students get to know each other and the faculty very well. It’s a summer experience like no other.", "label": "Yes"} {"text": "Accelerated Projected Gradient Algorithms for Sparsity Constrained Optimization Problems\nJan Harold Alcantara · Ching-pei Lee\nHall J (level 1) #434\nAbstract: We consider the projected gradient algorithm for the nonconvex best subset selection problem that minimizes a given empirical loss function under an $\\ell_0$-norm constraint. Through decomposing the feasible set of the given sparsity constraint as a finite union of linear subspaces, we present two acceleration schemes with global convergence guarantees, one by same-space extrapolation and the other by subspace identification. The former fully utilizes the problem structure to greatly accelerate the optimization speed with only negligible additional cost. The latter leads to a two-stage meta-algorithm that first uses classical projected gradient iterations to identify the correct subspace containing an optimal solution, and then switches to a highly-efficient smooth optimization method in the identified subspace to attain superlinear convergence. Experiments demonstrate that the proposed accelerated algorithms are magnitudes faster than their non-accelerated counterparts as well as the state of the art.\nChat is not available.", "label": "Yes"} {"text": "Table of Contents :\nTop Suggestions Highschool Algebra Worksheet :\nHighschool Algebra Worksheet Hall high school algebra and geometry teacher shirley forehand you would watch them doing the motions like they were doing a worksheet because they were recalling the information and I m not interested essay writing and math class might seem like oil and water 56 high quality experiments involving more than 6 000 students from elementary to high school some of the underlying Best math apps amp websites for remote learning read whole article the covid 19 pandemic has made its impact on the daily activities of people around the world for one thing a n.\nHighschool Algebra Worksheet Related 7 kindergarten math worksheets to print at home spend time reading when it comes to building 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Let say, you would like to boost your son's or daughter's handwriting, it is but obvious that you want to give your son or daughter plenty of practice, as they say, practice makes perfect.\nWithout phonics skills, it's almost impossible, especially for kids, to learn how to read new words. Techniques to Handle Attention Issues It is extremely essential that should you discover your kid is inattentive to his learning especially when it has to do with reading and writing issues you must begin working on various ways and to improve it. Use a student's name in every sentence so there's a single sentence for each kid. Because he or she learns at his own rate, there is some variability in the age when a child is ready to learn to read. Teaching your kid to form the alphabets is quite a complicated practice.\nTags: #math worksheets for high schoolers#algebra worksheets with answer key#high school homeschool worksheets#high school algebra coloring worksheets#6th grade math worksheets pre algebra#high school math worksheets for practice#printable english worksheets high school", "label": "Yes"} {"text": "Locations Near You\nA thousand can be written as 1,000 as well as 1000 and a million as 1,000,000 or 1000000. Visit WebsitePoints: 13. Differential geometry: a field of mathematics that uses the methods of differential and integral calculus as well as linear and multilinear algebra to study the geometry of curves and surfaces. In mathematics, the Riemann hypothesis, proposed by Bernhard Riemann 1859, is a conjecture that the non trivial zeros of the Riemann zeta function all have real part 1/2. The methods used for calculating the mean, median, and mode are different from those used for ungrouped data e. Prodigy is a free, curriculum aligned, fantasy based math game for kids to practice essential math skills. From this, the x momentum equation becomes. Locally convex spaces, weak topologies. All concentrations share core courses. The points on the graph of a function f have the form x, fx, soonce you know the first coordinate, the second is determined. Mathematics majors learn the internal workings of this language, its central concepts and their interconnections. 29 students do not play basketball or baseball. For stock investments, two kinds of yields are generally watched yield on cost, and current yield. For example, a = 3 and b = 11. May be taken for credit six times with consent of adviser as topics vary. Spatial right hemisphere, in which children show deficits in the spatial representation of number. 3 Existence and Uniqueness Having seen some definitions, we’re ready to develop the main tool we need for secret sharing: the existence and uniqueness theorem for polynomials passing through a given set of points. Your answer should be given as a word or as a whole number. Mobile App Development Courses50+ Courses★★★★★. Thanks for your input, Milind. Score 600 https://domyhomeworkfor.me/ on SAT Reading. Want to browse local tutors near you in more subjects. This proposition cannot at all be shown from concepts, but rests immediately on intuition and indeed on pure intuition a priori because it is apodictically demonstrably certain. Suppose we imagine that 11 is the largest prime. Once you’ve tried out the four practice questions above, it’s time to compare your answers and see whether you understand not just how to find the mean of data but also how to use what you know about the mean to more effectively approach any math questions that deal with averages. Your first 30 minutes with a Chegg tutor is free. 6, 2017—Vanderbilt students Lauren Branscombe, Joshua Fleck and David Zhang have been recognized in this year’s Goldwater Scholars competition. A right angle is an angle whose measure is exactly 90° or π2. ” “Twenty years from now you will be more disappointed by the things youdidn’t do than by the ones you did do.\nPennsylvania State University\nMoreover, we are never certain that the interpretive project is accurate and complete, and that other problems are not lurking ahead. Suppose that a student is taking three technology related classes. “Mathematics is the gate and key to science. Answer: B Quantity B is greater. The initiative also seeks to establish consistent educational standards across the states as well as ensure that students graduating from high school are prepared to enter credit bearing courses at two or four year college programs or to enter the workforce. ” Donald Newman 1930 2007 quoted in A Beautiful Mind by S. In a similar fashion, mathematicians can prove that the angles of a triangle add up to 180 degrees, or that there is no largest prime number—and they don’t need physical triangles or pebbles for counting to make the case, just a nimble brain. “I like to learn multiplication and division,” said Christina Gabrieli, a third grader at Dexter Southfield, a private school in Brookline. Availability: Ready to ship. Two additional developments around 1980 once again accelerated the ability to compute π. We have three modes trimodal in this set which are 0. Lambert also worked on geometry and cartography, created map projections, and foreshadowed the discovery of non Euclidean spaces. Data is presented in RST with the help of an information system, which may be complete, incomplete or non deterministic. The 4th number in 1, 2, 3, 5, 6, 7, 9 is 5. Each hypothesis specifies completely the probability distribution of a certain random variable, X. Submit questions about how to become an IB World School or enquire about our professional development opportunities. I cannot understand why we are asking 3rd graders to solve problems this way. Note: Please review CPS’ Minimum HS Graduation Requirements policy for in depth details. ” Popular Mechanics, March 1949, p. For each of the following scenarios, determine if it is a compound interest problem, a savings annuity problem, a payout annuity problem, or a loans problem. The last step in the verbal description table was to cube the result. I think one of the most vibrant is the questionof what distances and shapes can be constructed just by folding alone,without doing any measuring. Hungarian Problem Book III 1929 1943 Andy Liu MAA,20017.\nEarn a scholarship worth up to $10,000\nThis is exactly what I’ve experienced over the years. The Pythagorean theorem. Content and quantity in relation to the applied programme specific requirements see below. Such numbers must end in 1, 5, or 6 as these are the only numbers whose products produce 1, 5, or 6 in the units place. Further, let us apply the Turkey rule to find the outlier. The author recommended that teachers focus on first leading students in enjoying the illustrations and text and then making connections to math content areas when reviewing the text. Non linear first order equations, including Hamilton Jacobi theory. 65–81; Butterworth, Varma, and Laurillard, 2011; Iuculano, Tang, Hall, and Butterworth, 2008; Kucian and von Aster, 2015; Landerl, Bevan, and Butterworth, 2004; Rousselle and Noel, 2007. Greater focus on fewer topics. The cone, sphere and flat disc were used to represent small, medium and large measures of grain. Generally, yield is calculated by dividing the dividends or interest received on a set period of time by either the amount originally invested or by its current price. Some graphs may also have a legend that specifies what various colors represent, such as in a stacked bar graph. Exercise 4 asks you to prove it using elementary means. We just don’t want there to be any more than one ordered pair with 2 as a first component. Therefore, 4, 6, and 9 are composite numbers since they each have more than 2 factors. Example 3: A marathon race was completed by 5 participants. What is the average temperature in degrees Fahrenheit. Prerequisites: MATH 31CH or MATH 109. Proper understanding of given situations and contexts can often provide a person with the tools necessary to determine what statistically relevant method to use. During the 2019 2020 academic year, University of Georgia handed out 71 bachelor’s degrees in mathematics. Feel free to send suggestions. With what kind of mathematical problem can learners discover a certain mathematical idea e. Working in a mathematics career can require skills in problem solving and numerical aptitude, but today’s competitive marketplace asks for hard skills beyond just being good with numbers. It can be made to hold by changing the meaning of √ so that this no longer represents the principal square root see above but selects a branch for the square root that contains 1 ⋅ − 1. Lang from one uncut square of Korean hanji paper. That was extremely useful. Most math of radicals is to change them to their simplest form to reduce complexity. Beberman also urged a conceptual overhaul of math education. The final aspect is that relearning one’s field allows one to revisit the proofs of the central theorems of that subject.\nHe was one of the central forces behind systematizing probability theory, laying the groundwork for what is now termed Bayesian statistics. Published: Jan 15, 2021. There is no general consensus about its exact scope or epistemological status. We have multiplication and division in the formula, and the standard form exponents make these two operations very easy to calculate. How’s your head after that paragraph. The sim command produce a tilde like binary relation symbol that is often used in mathematical expressions, and the double tilde is obtained with approx. Determine whether these statements are true or false. Learn how to pick the right recovery. New Process for 20E Transfer Equivalency. By the implicit function theorem, is smooth, and by differentiating the above equation in time using 3 we see that. Applied math is slightly different, but you’ll still need to immerse your head in a world of numbers to make yourself valuable in the applied mathematics market. Completing a practice test or two ahead of time will make it so that you’re already comfortable with the directions going into the exam.\nReferences and Citations\nWhile students are only required to obtain 3 credits of math, they are strongly encouraged to take a fourth credit and maintain one math course each year. In a study of a frozen meal diet plan, the treatment group would receive the diet food, and the control could be given standard frozen meals stripped of their original packaging. Centers and Institutes. Methods for factoring large whole numbers are of great importance in public key cryptography, and on such methods rests the security or lack thereof of data transmitted over the Internet. Although the strains caused by gravitational waves are miniscule, they can be measured directly using techniques of laser interferometry. Your email address will not be published. Top 5 sectors our students work in. You may cancel at any time. Your email address will not be published. Sqrt 2 has no minus under the square root the minus is outside the root, is not divided by zero, so it is real. This method works in any instance where a percentage and its value are given. That these sorts of precise distinctions can be made is not immediately obvious to young children; for this reason, it is important that teachers design activities to demonstrate this. Culture is part of the unholy trinity—culture, chaos, and cock up—which roam through our versions of history, substituting for traditional theories of causation.\nLearning Areas – Bachelor of Secondary Education Honours\nAngles can be measured in both degrees and radians. Area of a Trapezoid: A=½base₁+base₂height. They each try to summarize a dataset with a single number to represent a typical data point from the dataset. 25×2−20x+4=5×2−25x⋅2+22=5x−22. In the 19th century, when the study of mathematics increased in rigor and began to address abstract topics such as group theory and projective geometry, which have no clear cut relation to quantity and measurement, mathematicians and philosophers began to propose a variety of new definitions. Then I said, Awesome. Concerning the Goldbach conjecture, Helfgott proved in 2014 that every odd number larger than 5 is the sum of three primes. In a study about anti depression medicine, you would not want the psychological evaluator to know whether the patient is in the treatment or control group either, as it might influence their evaluation, so the experiment should be conducted as a double blind study. You are commenting using your Twitter account. Com and the editor of “Run Strong,” he has written for Runner’s World, Men’s Fitness, Competitor, and a variety of other publications. As a class activity, present theorems and conjectures and ask students to first list all conditions of the statement and then produce non examples for each. However, supplemental self study is recommended. On top of that, 50% of Americans eventually develop math anxiety. Copyright © Old Dominion University • Updated 8/15/2021. We have taken the value of a that is 1 and the values of x are 2, 1, 0, 1, 2. Web of Science Emerging Source Citation Index ESCI: Clarivate Analytics.\nSimplify 2 + 3–4\nEnter your mobile number or email address below and we’ll send you a link to download the free Kindle App. However, to succeed in the Math Lab program students must have motivation and self discipline. As nouns the difference between conjecture and speculation. Prove that for all integers ngeq1. The basic arithmetical operations are addition, subtraction, multiplication and division. “We work in more general terms on more abstract problems, whereas in the sciences, like the wet lab sciences, you’re working specifically with materials or chemicals or life’s biological systems. As the focus on children’s literature as a resource and tool for mathematics learning became more prominent, authors identified additional rationales for using these books and functions of these books. 9 x − 3x − 3 x−3 = lim x − 3 f ′ 3 = lim x→3 x→3 =0 This was a nice exercise, but it’s tedious to compute derivatives over and over again for every input. You’ll need to make complicated mathematical calculations to understand the relationships between cosmic bodies. That is, instead of writing f x, one writes f x. 1, while taking advantage of the weaker ellipticity condition 3. I used this for a research paper so if anything is wrong in this research i’m in big trouble. It involves applying mathematical models in order to map out the mathematical core of a practical problem. Summer: 8 weeks 8 hours of lecture per week. For website help or updates, please email Accessibility. It is normal for two different individuals to have different number of questions asked, and still be placed in the same placement domain, and recommended for the same preparatory courses. North Central College is exactly that kind of program, offering insightful, devoted instruction from experienced faculty who will pay attention to your interests and help you find a path that fits. The correct answer is D. Thanks to Theodore Slaman and Jon Wilkening for mathematical consultation. For example, √2 is irrational but not transcendental because it is the solution to the polynomial x2 = 2. 9 for fourth graders between the top 10% and the top 1% Table 3. Copyright © 2022 Student Progress. Gottlieb Daimler John Dalton James Dwight Dana Charles Darwin Humphry Davy Peter Debye Max Delbruck Jean Andre Deluc Democritus René Descartes Rudolf Christian Karl Diesel Diophantus Paul Dirac Prokop Divis Theodosius Dobzhansky Frank Drake K. 9500 Gilman Drive, La Jolla, CA 92093 0112. If you do the math, you’ll see that it’s not such a bargain. How roman numeral symbols originated.\nLearn Math in the Blogosphere: 10 Top Math Blogs\nThis will give you the total amount of your total gain or loss on your bond investment. For the sake of example, we’ll say that Stock A makes up 20 percent of the portfolio, Stock B makes up 10 percent, and Stock C makes up 70 percent. In the next example, we’ll see how a mapping is used to create a list of ordered pairs. Two languages who could not be further apart. If you are a person who is creative with their words, try making an acronym out of the first letters of your important concepts, like PEMDAS in math Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Lower level of the modal class l = 30. The product rule can be used in reverse to simplify trickier radicals. SC Uniform Grading Scale. No tricks, just hard words you might encounter in. School and District Reports. ” means “Can 20 be divided by 3. To order a copy or learn more about the text, visit The Heart of Mathematics web pages at or at Springer Verlag or call Key College at 888 877 7240 or 510 595 7000. Company ABC’s dividend yield is 5% 1 ÷ 20, while XYZ’s dividend yield is only 2. This idea is expanded in our pages on managing your money. Foreign languages tests have four answer choices. We also offer private tutoring, semi private and traditional classes, and online prep to fit any schedule and learning style. June 2020April 2020March 2020February 2020January 2020December 2019November 2019October 2019September 2019August 2019July 2019June 2019April 2019March 2019February 2019November 2018September 2018August 2018July 2018June 2018May 2018April 2018March 2018February 2018January 2018December 2017November 2017October 2017September 2017August 2017July 2017June 2017May 2017April 2017March 2017February 2017January 2017December 2016November 2016October 2016September 2016August 2016July 2016June 2016May 2016April 2016March 2016February 2016January 2016December 2015November 2015September 2015August 2015June 2015February 2015January 2015December 2014October 2014June 2014. Then each of the following equations holds. Try it risk free for 30 days. The formula is straightforward, being the number of products that pass through a step of the process without error on the first attempt, divided by the total number of products being tested. ” “The full beauty of the subject of generating functions emerges only from tuning in on both channels: the discrete and the continuous. Note that the reason I’ve always heard of for movie. Original story reprinted with permission from Quanta Magazine, an editorially independent publication of the Simons Foundation whose mission is to enhance public understanding of science by covering research developments and trends in mathematics and the physical and life sciences. But first, students can estimate how far they’ll jump. I also used the IBID one, which is quite cool, stresses trigonometry a bit and focuses also on partial fractions very useful in calculus. No matter how a ratio is written, it is important that it be simplified down to the smallest whole numbers possible, just as with any fraction. And they’d say, ‘That’s not how they teach it here. Its adjective is mathēmatikós μαθηματικός, meaning “related to learning” or “studious,” which likewise further came to mean “mathematical. Grading/Final exam status: Letter grade. Having no remainder means that n can in fact be divided by 2.", "label": "Yes"} {"text": "Are you thinking of studying Mathematics at Cambridge? Join us for the King's Mathematics Open Morning, followed by the Mathematics Faculty Open Afternoon on Saturday 30 April.\nProspective mathematicians arrive at 10.00 / 10.15 am and spend the morning at King's. You will have a talk and Q&A with an academic in Mathematics, a chance to meet current King's undergraduates studying Maths, and a tour of the College, as well as brunch in the College Hall.\nIn the afternoon we take you over to the New Museums Site where you can attend the Mathematics Faculty Open Afternoon (a series of taster lectures and information about STEP). The afternoon programme and further information is available on the Mathematics Faculty website. The event ends at 16.40.\nPlease sign up for the day's events using the online booking form.", "label": "Yes"} {"text": "Hi all, I can recommend one online school with math tutors. I recommend you Brighterly online school, in this online school tutors will help your child learn new topics or tighten up difficult math topics. You can find out you just need to visit math site, I am sure that the tutors from this online school will help your child get great grades in math.\nI think I have helped you with your question.\nRecent Article Comments", "label": "Yes"} {"text": "Search found 3 matches\nSearch found 3 matches • Page 1 of 1\n- Fri 19 Feb, 2021 11:38 pm\n- Forum: General Puzzle Discussions\n- Topic: Sudoku homework interview help?\n- Replies: 2\n- Views: 273\nHello! I'm a uni student, studying how people solve puzzles. I have a homework assignment that consists of asking a few folks to solve a series of 3 Sudoku puzzles over 45 minutes, while they describe their process of finding the answer. I'm looking for some volunteers to help out. I can offer $15-2...", "label": "Yes"} {"text": "- iMore Nanite\n- 1 Posts\nThe Math Hunter: improve your math skills!\nThe Math Hunter is a iOS game for practicing basic Math skills: addition, subtraction, multiplication and division. The game allows you practice several operations together or independent as well as complex equations like 7 * (54 / 6).\nThe fun part is you need to help an archer protect the blooming forest against monsters. You have a few ways to defeat monsters as shooting at them with the bow or blowing up with bombs. In order to do anything you need to use your math skills.\nThe game has nice, nonviolent graphic style and good sound effects.\nFollow us on twitter: https://twitter.com/TheMathHunter\nI will glad to hear your feedback: info[at]themathhunter.com\nLast edited by The Math Hunter; 07-17-2014 at 02:37 PM. Reason: make the link to app store more visible\n- 07-17-2014, 02:31 PM #2\nRe: The Math Hunter: improve your math skills!\nWelcome and thank you for sharing your app with iMore, hopefully a lot of our members will check it out and give plenty of feed back.\nPlease take a moment and read:App and Developer Forum Rules & Guidelines - Mobile Nations Forums\nThank you again and best of luck with your app.\n- 07-17-2014, 02:32 PM #3\n- By HankAZ in forum OS X Yosemite (10.10)Replies: 3Last Post: 07-25-2014, 06:38 AM\n- By Samuel Ellicott in forum Ask a QuestionReplies: 5Last Post: 07-17-2014, 01:08 PM\n- By iMore.com in forum iMore.com News DiscussionReplies: 0Last Post: 07-17-2014, 11:30 AM\n- By iMore.com in forum iMore.com News DiscussionReplies: 0Last Post: 07-17-2014, 10:50 AM\n- By iMore.com in forum iMore.com News DiscussionReplies: 0Last Post: 07-17-2014, 10:20 AM", "label": "Yes"} {"text": "Real solutions equal\nHope that helps!\nTo solve an equation using the x-intercept method, we must graph the corresponding function and locate x-values of the x-intercepts.\nThe given polynomial equation is\nThe graph of the corresponding function\nIs shown in the attachment.\nThe x-intercepts are:(1,0), (3,0), (6,0)\nTherefore the solutions are,\nhey there : ) your answer would be a.", "label": "Yes"} {"text": "A single conservative force acts on a 5.00-kg particle within a system due to its interaction with the rest of the system. The equation Fx = 2x + 4 describes the force, where Fx is in newtons and x is in meters. As the particle moves along the x axis from x = 1.00 m to x = 5.00 m, calculate\n(a) the work done by this force on the particle\n(b) the change in the potential energy of the system\n(c) the kinetic energy the particle has at x = 5.00 m if its speed is 3.00 m/s at x = 1.00 m\nA 4.00-kg particle is subject to a net force that varies with position as shown in the figure. The particle starts from rest at x 5 0. What is its speed at (a) x = 5.00 m, (b) x = 10.0 m, and (c) x = 15.0 m?\n(a) A 3.00-kg object has a velocity (6.00 i - 2.00 j) m/s. What is its kinetic energy at this moment?\n(b) What is the net work done on the object if its velocity changes to (8.00 i + 4.00 j) m/s?\nWhen a 4.00-kg object is hung vertically on a certain light spring that obeys Hooke’s law, the spring stretches 2.50 cm. If the 4.00-kg object is removed, (a) how far will the spring stretch if a 1.50-kg block is hung on it? (b) How much work must an external agent do to stretch the same spring 4.00 cm from its unstretched position?\nA uniform chain of length 8.00 m initially lies stretched out on a horizontal table. Assuming the coefficient of static friction between chain and table is 0.600, show that the chain will begin to slide off the table if at least 3.00 m of it hangs over the edge of the table.", "label": "Yes"} {"text": "IUPUI High School Math Contest\n2016 High School Math Contest\nHow the contest enhances student engagement\n- The High School Math Contest is an opportunity for teachers to supplement their lesson plans and provide students with creative and competitive outlets.\n- Student participants study patterns, analyze relationships, draft and refine their solutions, and submit their work.\nHow the contest works\n- Contest questions and poster to advertise the contest are emailed to Indiana high schools\n- Questions cover 9-12th grade math problem-solving skills and one question essay\n- Students work on the questions independently and mail in their solutions\n- IUPUI faculty and graduate students volunteer over 100 hours to judge all entries based on the following criteria:\n- A student's method of finding the solution\n- Correctness of solution\n- Elegance of solution\n- Winners and participants are invited to campus for the award ceremony every April\n- This contest is open to Indiana high school students (grades 9 - 12)\n- The 2017 High School Math contest will be announced January 2017\nPrizesIn order to receive the scholarship, the winner must be directly admitted to the Purdue School of Science at IUPUI, major in any discipline in the School of Science, and attend full-time. These scholarships are renewable for four years, subject to certain requirements.\n- 1st Place (1 winner)\n- $300 and a full four-year academic tuition scholarship to the School of Science at IUPUI\n- 2nd Place (5 winners)\n- $150 and a $2,000 scholarship to the School of Science at IUPUI\n- 3rd Place: (10 winners)\n- $100 and a $2,000 scholarship to the School of Science at IUPUI\n- Request more information for the 2017 math contest or call (317) 274-6917", "label": "Yes"} {"text": "Some confusion about time-complexity and A*.\nAccording to A* Wiki the time-complexity is exponential in the depth of the solution (shortest path):\nThe time complexity of A* depends on the heuristic. In the worst case of an unbounded search space, the number of nodes expanded is exponential in the depth of the solution (the shortest path) d: $O(b^d)$, where $b$ is the branching factor (the average number of successors per state).\nThe comment to this accepted answer points out that it makes more sense to give the complexity in termes of the size of the graph and therefore it should be $O((|V| + |E|) \\cdot log |V|)$\nObviously, if the heuristic assigns a value of 0 to every node, A* becomes Dijkstra's algorithm and any uniform cost heuristic will essentially disable the heuristic.\nIf we assume the heuristic to be $O(1)$ (and consistent), it would make sense that the worst case is essentially degrading A* to Dijkstra's algorithm which has complexity\nwith a min-priority queue implementation (Fibonacci heap).\nAm I wrong?\nAny book etc I have been looking at always gives the complexity in terms of the depth of the solution", "label": "Yes"} {"text": "NCERT Class XI Mathematics Book Click Here for Class XI All NCERT Books NextNCERT Class VIII Maths Chapter 2 Linear Equations in One Variable». NCERT Solutions for class 11 Maths provided by Vedantu here have been solved by our best Mathematics teachers, who have many years of experience in the field of CBSE Board education. The class 11 Maths NCERT solutions systematically cover the solutions for all the exercise. Mathematics for Class 11 by R D Sharma Session: fyadocoodenes.tk: R.D. Sharma: Books.\n|Language:||English, Portuguese, Japanese|\n|Genre:||Science & Research|\n|ePub File Size:||22.44 MB|\n|PDF File Size:||9.52 MB|\n|Distribution:||Free* [*Register to download]|\nGanit. NCERT/CBSE class 11 Mathematics book Ganit · Mathematics. NCERT/ CBSE class 11 Mathematics book Mathematics · Reyazi. NCERT/CBSE class 11 . If you are a CBSE student, then go for NCERT books. NCERT books are supreme when it comes to appearing for Government level exams also. IN THIS APP YOU WILL GET ALL CHAPTERS OF SCIENCE 11TH CLASS CBSE SYLLABUS.(NCERT). Read more. Collapse.\nAnyone can understand the concepts. The ICSE books have vast information on the topics.\nBut the illustrations, examples, and explanations are more in ICSE books. Both the books give enough knowledge to the students. While preparing for an examination, the ones who study from ICSE books have to refer for side books to know more information and different types of questions.\nUsing many reference books will confuse the person as every book will explain the concept in a different way. NCERT books help to clear most of these exams. It takes more time to study from ICSE books due to vast information.\nThe idea of set fills in as a major piece of the present-day Mathematics. Today this idea is being utilized in pretty much every Chapter of science. Sets are utilized to characterize the ideas of relations and capacities.\nThe investigation of geometry, sequences, probability, and so forth requires the learning of sets. In this Chapter, consistent way to deal with set hypothesis is clarified. The term set falls in the classification of unclear terms in science. Additionally, to be a component of a set is likewise unclear term. In any case, a set is defined as characterized accumulation of all items.\nNCERT Solutions for Class 11 Maths\nRelations and Functions will explain you how to link pairs of objects from two sets and then derive relations between the two objects in the pair. What you will learn finally is about special relations which will qualify to be functions. The concept of function is very important in mathematics since it captures the idea of a mathematically precise correspondence between one quantity with the other.\nThe idea of Functions is exceptionally principal in Modern Mathematics. In this chapter, we will generalize the concepts of trigonometric ratios to trigonometric functions and will study the properties. The study of trigonometry at first began in India.\nThe early hints of scientific enlistment can be found in Euclid's proof that number of primes is endless. There is only one exercise in this chapter and is very interesting if you are curious enough to solve the questions of Mathematical Induction.\nTo permit the square root of negative numbers, the real number framework is stretched out to complex numbers. Truth be told, Greeks were the first to perceive the way that square root of a negative number does not exist in the real number system. This chapter has three exercises in total where you will consider how the inequalities emerge in everyday practice.\nAt whatever point we compare two quantities, they are bound to be unequal than equivalent. Linear inequalities is a very important and interesting chapter if you study in depth.\nNCERT Solutions for CBSE Class 11 Mathematics: All Chapters\nPermutation is a kind of arrangement in an unequivocal request of various particular of n different items taking r at once. Combination — The number of ways for choosing r things out of n distinctive things is called combination. There are total 4 exercises in this chapter with 31 questions based on the concepts of Permutations and Combinations.\nThis equation or expansion is called Binomial hypothesis. Chapter 9 called Sequences and Series has four exercises in total where you will learn important topics like Arithmetic Progression, Geometric Progression, General Term of a G.\nP, Sum to n terms of a G. P and other important topics.\nHistorically, Aryabhata was the primary mathematician to give the equation for the sum of the square of the first n natural numbers, the whole of 3D squares of first n normal numbers, and so forth. In this chapter, you will study some important topics like Slope of a line, Angle between two lines, Collinearity between two points, horizontal and vertical lines and much more.\nThere are total three exercises in this chapter.\nFrench mathematician Rene Descartes was the primary mathematician who utilized variable based math for the investigation of geometry. Utilizing Cartesian directions, he spoke to lines and bends by mathematical condition.\nConic Sections will broaden your concepts of sections of a cone and also, you will study about circle, ellipse, parabola and hyperbola and other important topics. The curves like circles, oval, parabolas and hyperbolas are called conic segments or all the more normally conics.\nEarlier, the ideas of plane organize geometry were started by French mathematician Rene Descartes and furthermore by Fermat in the start of seventeenth century.\nUP Board Class 11 Maths Book Solutions PDF गणित\nIn this Chapter, with a total of three exercises, we will study about the coordinate geometry in the 3 — D space. This chapter is an introduction to a very important area called Calculus for the students.\nCalculus is that branch of mathematics which is associated with the study of change in the value of a function as the points of the domain change. If we mug up the facts, Brahmagupta's Yuktibhasha is viewed as the main book on analytics. Bhaskar's chip away at analytics goes before much before the season of Leibjitz and Newton.\nBhaskara — II utilized standards of differential Calculus in issues on Astronomy. In Math, mostly two sorts of reasoning happen.\nOne is inductive reasoning which is examined in Chapter 4 — Mathematical Induction and the other is deductive reasoning which we expect to consider in depth in this Chapter.\nIn this chapter, you will be studying important topics like Measures of dispersion, range, mean deviation, Mean deviation for ungrouped data, 1 Standard deviation and much more. We will do the next dimension of measurements in this chapter than whatever we have studied in classes 8, 9 and Probability is the word we utilize computing the level of the conviction of occasions in perfect conditions. An experiment implies an activity which can deliver some very much characterized results.\nThe traditional approach is given out by Blaise Pascal and the main approach is given by a Russian mathematician A Kolmogorov in For all those students who require additional guidance with their studies, Vedantu has got their back. System of Particles and Rotational Motion Chapter 8: Gravitation Chapter 9: Mechanical Properties of Solids Chapter Mechanical Properties of Fluids Chapter Thermal Properties of Matter Chapter Thermodynamics Chapter Kinetic Theory Chapter Oscillations and Waves Oscillations Waves Chapter Some Basic Concepts of Chemistry Chapter 2: Structure of Atom Chapter 3: Classification of Elements and Periodicity in Properties Chapter 4: Chemical Bonding and Molecular Structure Chapter 5: Thermodynamics Chapter 7: Equilibrium Chapter 8: Redox Reactions Chapter 9: Hydrogen Chapter The s — Block Elements Chapter Hydrocarbons Chapter The Living World Chapter 2: Biological Classification Chapter 3: Plant Kingdom Chapter 4: Animal Kingdom Chapter 5: Morphology of Flowering Plants Chapter 6: Anatomy of Flowering Plants Chapter 7: Structural Organisation in Animals Chapter 8: The Unit of Life Chapter 9: Biomolecules Chapter Cell Cycle and Cell Division Chapter One is inductive reasoning which is examined in Chapter 4 — Mathematical Induction and the other is deductive reasoning which we expect to consider in depth in this Chapter.\nMock Tests. RD Sharma Class 11 Solutions. Next Next post: Statistics Chapter Permutation is a kind of arrangement in an unequivocal request of various particular of n different items taking r at once. So students need not worry about the given content for the solutions.\n- MARIE FORLEO BOOK\n- 9TH CLASS ENGLISH BOOK\n- SERVLET FORCE PDF\n- FAIRY TALES PDF WITH PICTURES\n- YOGI KATHAMRIT BENGALI PDF\n- THE LEAGUE OF EXTRAORDINARY GENTLEMEN COMIC BOOK\n- LINUX SHELL SCRIPTING BASH PDF\n- A PROJECT GUIDE TO UX DESIGN EBOOK\n- SAP GW100 PDF\n- SETVENI KOLEDAR 2015 PDF\n- VERONIKA DECIDES TO DIE BOOK\n- COMICS PDF IN HINDI\n- EBOOK TINTIN BAHASA INDONESIA\n- GLORY IN DEATH EBOOK\n- THE POWER OF NEGATIVE THINKING PDF", "label": "Yes"} {"text": "This applet calculates the Mandelbrot set using a modified and inferior version of the boundary trace algorithm. (see \"Future Features\" below) Transparent pixels (gray in the hotjava default) are members of the Mandelbrot set, which is defined as all complex c such that the transformation z -> z^2 +c starting with z=0 does not go to infinity. The color of points not in the set is determined by the number of iterations of the tranform before the value of z reaches a threshold value. (see \"Future Features\" below).\nThe number of iterations determines how many times the tranform is applied. If z is still lower than a threshold, the point is considered to be in the set. To get full detail at any zoom, the number of iterations would have to be infinite. This would take too long though. 50 or 60 iterations is fine for a few zooms. 120 is a lot of detail. More is slower, but also more detail.\nThe applet reports on the status line how many point it actually calculated. This number should always be smaller than the maximum. Sections of the set with large blocks of solid color will be calculated faster than intricate border areas.\nBeing the first Java app I've written, I'm too embarrassed by the messiness of the code to give it out. Maybe after I clean it up.\n", "label": "Yes"} {"text": "The simplicity of the branching of representations of the groups GL(n, q) under the parabolic restrictions\n- 21 Downloads\nWe present a direct proof of the simplicity of the branching of representations of the groups GL(n, q) under the parabolic restrictions. The proof consists of three steps. First, we reduce the problem to the statement that a certain pair of finite groups is a Gelfand pair. Then, we obtain a criterion for establishing this fact, which generalizes the classical Gelfand’s criterion. Finally, we check the obtained criterion with the help of some matrix computations. Bibliography: 7 titles.\nKeywordsRussia Finite Group Direct Proof Mathematical Institute Matrix Computation\nUnable to display preview. Download preview PDF.\n- 1.A. Aizenbud and D. Gourevitch, “Multiplicity free Jacquet modules,” to appear in Canad. Math. Bull., arXiv:0910.3659v1.Google Scholar\n- 2.I. M. Gelfand and D. A. Kajdan, “Representations of the group GL(n, K) where K is a local field,” in: Lie Groups and Their Representations, Akad. Kiadó, Budapest (1975), pp. 95–118.Google Scholar\n- 7.A. V. Zelevinsky, “Representations of finite classical groups. A Hopf algebra approach,” Lect. Notes Math., 869, Springer-Verlag, Berlin-New York 1981).Google Scholar", "label": "Yes"} {"text": "Introduction to Calculus\n- Interactive Course\n- 10 h 30 min\n- 2 Certifications\nEstimated Time: 10 h 30 min\nCourse Level: Beginner\nRequirements: This course requires no prior knowledge of Mathematica or Wolfram Language. Prerequisites for calculus are trigonometry or precalculus.\nCertification Levels: CompletionLevel 1\nThis course provides a comprehensive introduction to fundamental concepts in calculus and their applications, covering all of Calculus 1 and some of Calculus 2. The course starts with functions and limits, followed by differential calculus, and then moves on to integral calculus and a brief discussion of differential equations. It includes a sample exam based on the AP Calculus AB course. Problem sessions, exercises and auto-graded quizzes are provided for self-paced assessment. Earn a certificate by watching all lesson and problem session videos and completing the quizzes with a passing grade.\nFeatured Products & Technologies: Wolfram Language\nYou'll Learn To\n- Work with functions and limits\n- Solve problems using derivatives\n- Use indefinite and definite integrals\n- Relate concepts of differentiating and integrating functions\n- Solve separable differential equations\n- Prepare for AP Calculus\nAbout This Interactive Course\nIt's free and easy to get started with open interactive courses using the Wolfram Cloud—sign in with your Wolfram ID or create one. No plan is required. This interactive course includes video lessons, exercises, quizzes, sample and final exams, and a scratch notebook, all in an easy-to-use interface. From the interactive course, click Track My Progress to chart your certification progress as you go. Recommended best practice for completing this interactive course is to start with Lesson 1 and progress through the video lessons, exercises and problems, taking each quiz in the order it appears in the table of contents.", "label": "Yes"} {"text": "Let predictive analytics drive your business\nPredictive analytics is the use of data, statistical algorithms and machine learning techniques to identify the likelihood of future outcomes based on historical data. The goal is to go beyond knowing what has happened to providing a best assessment of what will happen in the future.\nWhy Is Predictive Analytics Important?\nOrganizations are turning to predictive analytics to increase their bottom line and", "label": "Yes"} {"text": "10 km long 3 phase line delievers 1 MW at 0.8 p.f lagging....the series impedence of the line is 0.5+j0.56 ohm per km per phase ...sending end voltage is 11 kV ....find line current .....recieving end voltage and transmission efficiency.\nplz solve in step by step...and clearify in very simple\n(hint ans: 71.5A. 10.1kV. 093 )", "label": "Yes"} {"text": "Quadrance polygons, association schemes and strongly regular graphs\nQuadrance between two points and is the number . In this paper, we present some interesting results arise from this notation. In Section 1, we will study geometry over finite fields under quadrance notations. The main purpose of Section 1 is to answer the question, for which , we have a polygon such that for . In Section 2, using tools developed in Section 1, we define a family of association schemes over finite field space where is a prime power. These schemes give rise to a graph with vertices the points of , and where is an edge of if and only if is a nonzero square number in . In Section 3, we will show that is a strongly regular graph and propose a conjecture about the maximal clique of .\n1 Universal geometry over finite fields\nSuppose that is an odd prime power, and that is the finite field with elements. To avoid lengthly calculations (but mostly repetition), we assume that is of form for some integer throughout Sections 1-3. In Section 4, we will present companion results for case . The following definitions follow where the importance of the notation of quadrance is developed.\nThe quadrance between the points , and is the number\nA circle in a finite field with center and quadrance is set of all points in such that\nRecall that a (multiplicative) character of is a homomorphism from , the multiplicative group of the non-zero elements of , to the multiplicative group of complex numbers with modulus . The identically function is the principal character of and is denoted . Since for every we have for every character . A character is of order if and is the smallest positive integer with this property. By convention, we extend a character to the whole of by putting . The quadratic (residue) character is defined by . Equivalently, is on square, at and otherwise. It is easy to see that . Let and be the numbers of in such that , , and , respectively. We have the following lemma.\nLet be an odd prime power of the form for some integer . Then , and .\nProof We have\nBut we have\nThus, or . Similarly, consider the sum\nThis gives or . Similarly, consider the sum\nwe have . And consider the sum\nwe have . This concludes the proof.\nFrom Lemma 1, we can count the number of points in any circle in .\nLet be a circle with nonzero quadrance in . Then has exactly points.\nProof Without lose of generality, we may assume that is centered at the origin. Let be the quadrance of . We will prove the lemma for the case as other cases are similar. The number of points in is\nWe have if and only if . Since is not a square in . We have the numbers of with is . For each with , we have corresponding points . Besides, we have 4 other points and . Hence, . This concludes the proof of the lemma.\nLet denote the circle centered at with quadrance .\nLet in and let be two distinct points in such that . Then only depends on and . Precisely, define\nThen the number of intersection points is , where\nProof Suppose that and for some then . Suppose that where for some . Then we have and . This implies that . But we have so\nIf is non-square number in then it is clear that there does not exist such , or . Otherwise, let and for then\nSolving for with respect to we have\nIf then we have only one for each , but if then we have two pairs . This implies (1), completing the proof.\nThe function defined above has an interesting property.\nGiven in , there exists at least values of such that is square (maybe zero).\nProof There are two cases.\nSuppose that is square in . Then for some . We have\nFrom Lemma 1, we have values of () such that is square. For each , we have two values of . Besides, we may choose from so we have three more values of . Thus, the number of such that is square (maybe zero) is .\nSuppose that is non square in . Then for some . We have\nFrom Lemma 1, we have values of () such that is square. For each , we have two values of . These are all possiblities for . Thus the number of such that is square (maybe zero) is .\nThis concludes the proof of the lemma.\nIf then for any and , there exists a polygon in such that for all (note that ).\nProof It suffices to prove for . For any , we need to show that there exists a quadrangle such that for . From Lemma 4, there are at least values of such that is square and at least values of such that is square. We have only possible values for so by the pigeonhole principal, there must be some value such that both and are square. Choose any two points with . From Lemma 3 , and are square in so there exists such that , , and . Thus we can choose . This concludes the proof.\n2 Quadrance Association Schemes\nWe now have enough tools to construct an association scheme on . Let us recall the formal definition of an association scheme from .\nAn association scheme with associate classes on a finite set is a partition of into sets (called associate classes) such that\nis symmetric for , i.e. ;\nfor all in there is an integer such that, for all in\nThe numbers are called the intersection numbers. The number is called the valency of the -th associate class.\nOur association schemes are defined by quadrances between elements of . To meet the condition (i) in Definition 3, we need if and only if for all , which is equivalent to (mod ). The following theorem gives us an association scheme on .\nLet , and partition into subsets (indexed by elements of ; for example ) such that for in , if and only if . This partition gives us an association scheme on . Furthermore, for , let . Then the intersection numbers of the scheme are\nProof The conditions (i) and (ii) of Definition 3 are easy to check. We will check (iii). Suppose that we have where and for some . Then . For , it is clearly that , i.e. . We have\nWe call this scheme the quadrance association scheme. This scheme can be used to obtain some other schemes. Precisely, we have the following theorem.\nFor any , there exists an association scheme with associate classes on .\nProof If then for some positive integer . There exists a primitive element of , says . Let and let be set of all nonzero powers in . We have , and write . Set for . We partition into sets by\nHere are the associate classes of the quadrance association scheme. We check that this partition gives us an association scheme. The conditions (i) and (ii) of Definition 3 are easy to check. We will check (iii). For , iff . Similarly as in proof of Theorem 2, we have that\nis the same for any .\nFor , suppose that . Then for some . The number of ’s in such that and is\nFrom Theorem 2, depends only on whether is nonzero square, zero or nonsquare. Thus, we only need to look at this condition. For , we have\nSo that is a square (nonzero/zero) or non square if and only if so is . Hence, if we replace by in (4) then ). This implies that is the same for any , completing the proof.\n3 Quadrance Graphs\n3.1 Strongly Regular Graphs\nRemind that . In Theorem 3, we saw that for any , there exists an association scheme with associate classes on . Now is an odd prime power so and we can compose the quadrance association scheme into an association scheme with three associative classes. It is not hard to see (from the construction in Theorem 3) that the association scheme with 3 associative classes is a partition where\nConsider a graph of with vertices the points of , and where is an edge of graph if and only if is in . For , define\nWe have the following theorem.\nLet be any two points in .\nIf then .\nIf then .\nProof a) Suppose that . Then for some .\nWe count the number of points in . Let be any point in then there exists such that and . Without loss of generality, we can divide both by and assume that . We have\nThere are three separate cases.\nSuppose that is nonsquare. Then from Lemma 3 , there does not exist such that and .\nSuppose that . We have three subcases.\nIf then and . But it contradicts to the condition .\nIf then and . Thus, we have pairs for . From Lemma 3, each pair gives us one point .\nIf then and . Similarly, we have points .\nSuppose that is a nonzero square. Then either both and are nonzero square or both and are nonsquare.\nSuppose that and are nonsquare. Similarly, we have values of and values of . Thus, we also have points .\nTherefore, the number of points such that and is\nBut any point is counted four times (for the four pairs and ), so .\nb) Suppose that . Then for some . We count the number of points in . Let be any point in then there exists such that and . Without loss of generality, we can divide both by and assume that . We have\nThere are three separate cases.\nSuppose that is nonsquare. Then from Lemma 3, there does not exist such that and .\nSuppose that . This is impossible as is not a square number in .\nSuppose that is a nonzero square. Again, there are two subcases.\nSuppose that is nonsquare and is nonzero square. Similarly, we have values of and values of . Thus, we also have points .\nTherefore, the number of points such that and is . But any point is counted four times (for the four pairs and ) so . This completes the proof of the theorem.\nFrom Theorem 4, we have is a strongly regular graph with parameters ; that is is -regular, any two adjacent vertices have common neighbours and any two non-adjacent vertices have common neighbours. For any two vertices and , there are precisely vertices joined to and not joined to . We call quadrance graph.\n3.2 Maximal complete subgraphs\nLet be the vertex set of a subgraph of and be the number of edges joining vertices in . In Section 3.1, we see that the graph is a strongly regular graph with parameters . The well-known Paley graph has the same parameter. Thus, we can follow Bollobas’s proof for Paley graphs (see , page 321-322) to show that\nLet be a set of vertices of the Quadrance graph . Then\nProof We may assume that . Let be the number of unordered triples with and . By Theorem 4, for each pair of adjacent vertices of there are such triples and for each pair of non-adjacent vertices of there are such triples. Thus, we have\nLet be the average degree in the induced subgraph . There are edges joining to . So on average, a vertex of is joined to vertices in , and a vertex in is joined to vertices in . Thus, we have\nMultiplying by and rearranging, we have\nThis completes the proof.\nIf spans a complete subgraphs or an empty subgraphs of and then\nHence . It is easy to see that the equality holds when is a set of points in a line. Inspections for support for the converse statement. We propose the following conjecture.\nIf spans a complete subgraphs or an empty subgraphs of order of then is a line in .\n4 Companion Results\nIn this section, we suppose that . We present companion results of previous sections in this case. Some proofs of the results in this section require extra works but they are basically similar to proofs in previous sections. Therefore, we obmit the details. The following lemma is an analogue to Lemma 1.\nLet be an odd prime power. Then , and .\nUsing Lemma 5, we have the following result, which is an analogue to Lemma 2.\nLet be a circle with nonzero quadrance in . Then has exactly points.\nLemma 4 still holds in this case. From Lemma 2 and Lemma 6, it is clear that the circle is a single point when for some integer . But for , the circle consists of points. This property causes some troubles in calculations (see ) which can be resolved by redefine the circle . We redefine and . We have the following lemmas.\nFor any in . Suppose that are two distinct points in with . Then the circle intersects if and only if . Furthermore, if then two circles intersect at only one point.\nLet then there exists such that and are square in .\nProof There are three cases.\nSuppose that is square in . Then is square in . Thus, we can choose .\nSuppose that is square in . We have\nSince is square in", "label": "Yes"} {"text": "Old versionsSee all\nIs algebra showing up in your kid's homeworks?\nMULTIPLEjm will help your kids learn algebra ( + - x : ) a fun way. They will trying to beat their high score, have fun, and learn!\nIt really helps my kids learn the tables, it will help yours.\n... and maybe YOU as well ;-)", "label": "Yes"} {"text": "Math Problem Solver Math Problem Solver Mathematics is a subject that is included in every stream of education and its problems gets tougher as student moves further in his studies. That’s why proper assistance in solving math problems is required by most of the students because they know it is a kind of practical subject in which they can score maximum. But this is not an easy task to do, This subject requires regular math practice. At present, several online math tutoring services provide math problem solvers on the internet platform for the students so that students can take help in math anytime they want. Math problem solver simplifies all the math related queries of the student and provides all the related steps to that problem which can be useful while solving other similar kind of problems. As we all know mathematics is categorized in several of its branches which have distinct types of queries and due to this online math tutoring websites have math problem solver for each of the mathematical branch. Let us talk about algebra solver that solves all the complex queries of students related to the algebra. Know More About Significant Figures Calculator Math.Tutorvista.com\nPage No. :- 1/4\nAlgebra is an art of forming mathematical expressions with variables and integer constant which are related through arithmetic operators. These relations are made according to any real life situation which is explained in words to the students. While taking lessons from online tutors, students are free to ask their doubts without hesitation and they can review the lessons as many times they want. Algebra solver uses some of the features provided by tutoring service for better explanation of math principles with good interactive communication on the internet platform. These features are video aids, online test, and various worksheets for practice, online live chat, and video conferencing. Let us take an example of an algebra problem and see how algebra solver helps to solve the equation for students: X2 + 9x = 2x Here X is a variable which is to be replaced by an integer value to solve the above equation: X2 = 2x – 9x X2 = - 7x Dividing both terms by x X = -7 Now for check your answer. Put this value of X in the given equation: X2 + 9x = 2x (-7)2 + 9(7) = 2( -7) 49 -63 = -14 -14 =-14 LHS = RHS equation satisfied so the answer of the equation is correct. How I Do My Homework? If you are asking this question to yourself then don't worry free math help will help you to solve your problem. The free online math help used for solving the math problem on internet. The website is designed with the purpose that the student can solve their problem at their home.Sometime the students shy away from asking about their problems directly from school teachers. Learn More Prime Factorization Calculator\nPage No. :- 2/4\nBut on these sites the online tutors are available for direct interactions for any time with the student. To solve different math problem a solver designed and named as “math problem solverâ€? is available.The student can get help of this solver. for the different topic there is different solver is designed, to solve their math problems . Every math problem has some step for solving if you follow these steps carefully then the problem becomes very simple .The free online tutors tells you a way to solve your problem without any confusion because you can ask any question at any time because a student can not learn everything in the school so at the home free online math help to the student and can help them in understanding how to solve the question Suppose you have to solve a algebric equation 3x+5= 7 and the 3x+5 is a one statement and 7 is another different statement because the sign is contain is equal. So we have to solve every statement. Online Homework Help, helps you to do your homework. When you face any problem to do your homework then you should take help from Free online math help and you can find the easy way to solve your problem in any subject. Online homework help to solve every complicated problem to the students specially in mathematics. In mathematics students can get confused so the free online homework is very helpful for the students to know how should the problem should be solved because in mathematics there are many ways to solve the question so the student should select simple and easy ways and the online math help provides simple and easy way to solve the question .\nPage No. :- 4/4\nPublished on May 12, 2012\nMathematics is a subject that is included in every stream of education and its problems gets tougher as student moves further in his studies...", "label": "Yes"} {"text": "grade math worksheets online printable 5 fifth word problems percentage worksheet division envision.\nworksheet grade associative properties worksheets commutative math of exponents addition educational valid property multiplication distributive third mat and as.\ncount to worksheet numbers worksheets kindergarten math 1 number counting for all download and french backwards from free write the workshee.\ngrade 3 worksheets science plants forces and movement free solid matter liquid gas worksheet pdf.\naddition properties worksheets for grade commutative property the best identity and zero of pr.\ncompound subjects and predicates grade printable test prep on subject simple predicate worksheets with english grammar.\nbar graph worksheets double grade farm animals picture and graphing coordinate plane worksheet line p.\nmultiplication worksheets grade 5 coloring free easy.\nbest images of worksheets simple sentence structure writing grade 3 inspirational making sentences grammar practice.\nconverting to practice worksheets temperature worksheet for rd grade rksheets rksheet activities on famous conversion reading scales grams and kilograms.", "label": "Yes"} {"text": "Academic Component- This component provides engaging and differentiated instruction using multi-sensory techniques and materials that strengthen language arts and mathematics foundational skills; fostering\nconfidence and achievement in mathematics and reading literacy\nMusic Component - Our music component includes three courses: music theory, music electives and ensembles. CAFÉ students prepare for an examination in music theory developed\nby the Maryland State Board of Music Teachers Examination.\nLife Skills - CAFE seeks to prepare students to examine their world critically\nand respond to its challenges with creativity. Students are encouraged to assume leadership;\nto value the opportunity for service; and, to accept, understand and appreciate the diversity\nof their community and the world. Throughout the school year, CAFE students typically participate\nin special life-skills related programs and workshops.", "label": "Yes"} {"text": "Alison Etheridge is Professor of Probability at the University of Oxford where she holds a joint appointment in the Departments of Mathematics and Statistics and a Fellowship at Magdalen College. She was an undergraduate at New College, and divided her graduate study between Oxford and McGill. She then held research fellowships in Oxford and Cambridge and positions in Berkeley, Edinburgh and Queen Mary University of London before returning to Oxford in 1997.\nOver the course of her career, her interests have ranged from abstract mathematical problems to concrete applications as reflected in her four books which range from a research monograph on mathematical objects called superprocesses to an exploration (co-authored with Mark Davis) of the percolation of ideas from the groundbreaking thesis of Bachelier in 1900 to modern mathematical finance.\nMuch of her recent research is concerned with mathematical models of population genetics, where she has been particularly involved in efforts to understand the effects of spatial structure of populations on their patterns of genetic variation.\nProfessor of Probability, Mathematical Institute, University of Oxford Professor of Probability, Department of Statistics, University of Oxford\nInterest and expertise\nStatistics and Operational Research, Pure mathematics\nOrganismal biology, evolution and ecology\nProbability theory, Population genetics, Mathematical models", "label": "Yes"} {"text": "A reference for engineers and students, this volume devotes more than 300 pages to theoretical and experimental considerations. It progresses from elementary materials to methods used in the design of NACA low-drag airfoils, and it presents techniques for using wing-section data to predict wing characteristics. Requires differential and integral calculus and elementary mechanics. 1949 edition.\nCorrected reprint of the 1st (1949) edition, with a new preface by the authors.\n|Availability||Usually ships in 24 to 48 hours|\n|Author/Editor||Ira H. Abbott, A. E. von Doenhoff|\n|Dimensions||5 3/8 x 8 1/2|", "label": "Yes"} {"text": "TRIGGER WARNING FOR MOM: There is a picture of a snake on this post.\nThere are several different ways that this phrase can be taken. One way that it is commonly used: when people talk about jettisoning some extra weight in their life. This could be a toxic relationship, clutter, or other problems which add to their selves.\nHowever, I’d like to talk about the mathematical thing. Don’t worry, it will not be heavily mathematical.\nWhen I was in kindergarten or first grade, one way that my teacher described subtraction (definitely not in these words, but follow along): “Consider that you are on the 11th floor of a building, and want to go to the seventh floor. How many floors must you go down? This is a way to visualize 11-7=4.)\nI’m probably badly misremembering this, and it’s not exactly what I had in mind. I just wanted to mention it.\nThere are two contexts where I regularly use addition by subtraction, or vice-versa. The G-word and book-keeping.\nOn the G-word, there tend to be good problems and bad problems. I have rubrics for math problems which are sometimes additive (i.e. each component is worth a certain amount of points), and sometimes they are subtractive (i.e. I list a number of errors and a number of penalty points for each).\nI find that for people who apparently did well, I start from the max points and subtract according to the errors. Whereas if someone has mostly an answer full of dreck, I try to add points from zero.\nAt the end of the G-word for exams, I turn into a specific type of snake, as shown below.\nThe exams have five problems, with their scores to add. If all of the numbers are fairly close to the maximum, in order to add them I instead do what is similar to the Common Core method of subtraction: consider the max score (usually 100), and then add the LOST points and subtract that from 100. For example, 17+19+18+20+13 = 100-(3+1+2+0+7) = 87.\nOn the other hand, if someone doesn’t do so well, I add the points from zero by normal addition.\nIn book-keeping, I find that instead of carrying when the Cents of the larger number are smaller than the Cents of the smaller number, I add a number of cents to both numbers before subtracting. For example, $402.33 – $98.69 = $(402.33+1.31)-(98.69+1.31) = $303.64. It’s useful to add zero in some cases–this was a tenet of “Hands-On Equations” that we did in fifth grade.\nI’ve touched mostly on the mathematical idea of addition by subtraction. I welcome comments on non-mathematical addition by subtraction (or vice-versa)!\nToday is the four-hundred and thirty-first day of Mission 441. Ten days remain.", "label": "Yes"} {"text": "Moments of coinless quantum walks on lattices\n- 146 Downloads\nThe properties of the coinless quantum-walk model have not been as thoroughly analyzed as those of the coined model. Both evolve in discrete time steps, but the former uses a smaller Hilbert space, which is spanned merely by the site basis. Besides, the evolution operator can be obtained using a process of lattice tessellation, which is very appealing. The moments of the probability distribution play an important role in the context of quantum walks. The ballistic behavior of the mean square displacement indicates that quantum-walk-based algorithms are faster than random-walk-based ones. In this paper, we obtain analytical expressions for the moments of the coinless model on d-dimensional lattices by employing the methods of Fourier transforms and generating functions. The mean square displacement for large times is explicitly calculated for the one- and two-dimensional lattices, and using optimization methods, the parameter values that give the largest spread are calculated and compared with the equivalent ones of the coined model. Although we have employed asymptotic methods, our approximations are accurate even for small numbers of time steps.\nKeywordsCoinless quantum walks Moments Mean square displacement Standard deviation\nRAMS acknowledges financial support from Capes-Faperj E-45/2013. RP thanks Faperj (Grant No. E-26/102.350/2013) and CNPq (Grant Nos. 304709/2011-5, 474143/2013-9, and 400216/2014-0). SB acknowledges financial support from the US National Science Foundation through Grant DMR-1207431.\n- 4.Ambainis, A., Bach, E., Nayak, A., Vishwanath, A., Watrous, J.: One-dimensional quantum walks. In: Proceedings of the Thirty-Third Annual ACM Symposium on Theory of Computing. STOC ’01, pp. 37–49. ACM, New York, NY, USA (2001)Google Scholar\n- 5.Nayak, A., Vishwanath, A.: Quantum Walk on the Line (2000). arXiv:quant-ph/0010117v1\n- 14.Falk, M.: Quantum search on the spatial grid (2013). arXiv:quant-ph/1303.4127\n- 16.Ambainis, A., Portugal, R., Nahimov, N.: Spatial search on grids with minimum memory. arXiv:quant-ph/1312.0172\n- 17.Portugal, R., Boettcher, S., Falkner, S.: One-dimensional coinless quantum walks (2014). arXiv:1408.5166v2 [quant-ph]", "label": "Yes"} {"text": "The purpose of this paper is to extend the Buneman construction of partially labelled trees to the general case. This extension is related with the characterization of median graphs by Mulder and Schrijver. In the first section, we construct a graph G(H) associated with a copair hypergraph H on a finite set X and define the notion of a median graph with latent vertices (called X-median graph). The latent vertices (i.e. the vertices who are not labelled by elements of X) are obtained by iterating the median operation from actual (labelled) vertices. In the second section, we prove that the graph G(H) is an X-median graph. Then, in the last section, we study some special cases, the Buneman result is reobtained and the hypergraphs whose associated graphs are Hasse diagrams of distributive lattices are characterized. © 1989.\nBarthelemy, J. P. (1989). From copair hypergraphs to median graphs with latent vertices. Discrete Mathematics, 76(1), 9–28. https://doi.org/10.1016/0012-365X(89)90283-5", "label": "Yes"} {"text": "Level 6-8 Tracking Walls\nTHINK! Road Safety\nYear 9 Personal Finance\nVideo explanations of Maths topics, worksheets, games and more.\nMaths games and activities\nIndependent Learning Resources\nLinks to resources and suggestions for things to do when working independently on Maths topics.\nVideo lessons for specific classes,\nto be used to learn at home\nFill up with the skills you need for better learning\nClick the box to see the intro video\nour learning; it's personal\nLearn to learn better\nTake control of your camera and take better photos.\n... Of the day\nProblems, puzzles, jokes and more", "label": "Yes"} {"text": "Spending many years as a classroom Teacher I’ve seen the advantages of finding the very best math web sites for youths. An interactive on-line device that helps students follow and master splash learn . com fundamental arithmetic information, it is fast and simple to make use of. That is an awesome online math software that covers a spread of areas within the subject like geometry, graphing, 3D, and a lot more.\nUncovering Rapid Products In Splash Learn Reading\nNow a Ph.D. in physics and a successful publisher and artist, Dr. Schutz, with the help of his devoted group, created Starfall to make sure in the present splash learn reviews day’s children have sources that may help. has created on-line games and printable worksheets to make studying math rather more pleasurable.\nRun is a standout sport because it is a ability recreation that’s enhanced with qualities like timing, fast-paced gameplay, and having to determine the route in a puzzle-like vogue. PBS KIDS splashlearn reviews is focused on making a constructive effect on the lives of youngsters by way of curriculum-based mostly actions.\nSplash Math increase math confidence and competence and helps children master 350+ key math abilities. They even provide apply units for competitive exams overlaying maths. Blogs reminiscent of Making Math Social” and Saying No to Math Nervousness” are included as resources for lecturers and parents.\nRight here let us take a look at among the Math Web sites For Academics and Students to be taught and train mathematics. Understanding its importance, enthusiasts have provide you splash learn.com with many fascinating websites to be taught and train the subject with fun. Kids love learning, however additionally they get simply bored.\nColleen King created Math Playground in 2002 for college kids in her courses who wanted a fun approach to apply math information. The games on Bitesize are humorous, and the talent splashlearn math observe offered is effective. These math web sites present lesson-planning assets and professional-improvement materials.\nPainless Systems Of Splash Learning – The Best Routes\nThey even present varied online and offline apps for specific subject areas like spreadsheet and chance. If you wish to push your child’s training further, and never simply restricted splashlearn to math, there are many wonderful academic companies like Khan Academy and RoboMind that supply enjoyable, digital ways to maintain them engaged and studying.\nMore than 425 math games, logic puzzles, and mind workouts for college kids to practice their math expertise. Each escape sport is a puzzle itself, which makes studying adventurous. The tutorial splash learn reviews materials is focused on US high school maths. Additionally they have engaging actions tailored for individualized learning.", "label": "Yes"} {"text": "Increment a number, given its digits\nPermute diagonal and antidiagonal\nGenerate a vector like 1,2,2,3,3,3,4,4,4,4\nFix the last element of a cell array\nFind vampire numbers\nCan you beat the lottery again (for hardcore coder) ?\nRank of magic square (for beginners)\nFind Missing Number\nGeneralised Hamming Number\nPandigital number n°2 (Inspired by Project Euler 32)\nChoose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select: .\nYou can also select a web site from the following list:\nSelect the China site (in Chinese or English) for best site performance. Other MathWorks country sites are not optimized for visits from your location.\nContact your local office", "label": "Yes"} {"text": "Zero Area Triangles in Delaunay Triangulation\n5 views (last 30 days)\nShow older comments\nBoris Blagojevic on 31 May 2021\ni am using delaunayTriangulation in my Application. To be specific, i am triangulating between two Lines L1 and L2, which are a distance d apart. All Points on L1 and L2 are less or equal than d apart.\nApplying the delaunayTriangulation, i ended up with multiple triangles which are on either L1 or L2. These triangles are obviously colinear, have zero area and are not very useful.\nTri = delaunayTriangulation([L1;L2]);\nTriangle1 = Tri.Points(Tri.ConnectivityList(1,:),:);\nfor i = 1 : 3\nSee the attached .mats and the code snippet.\nI know how the algorithm works and why this happens. Yet, my point of view, it would be desirable to include some option in the delaunayTriangulation, which allows one to prevent the creation of colinear triangles - like it is possible with the polyshape class. There might be other opinions on this, which i would be delighted to hear.\nIs there some easy way of doing this with this class?\nOr does anybody have an implementation of the algorithm that allows non-colinear delaunay Triangulation?\ndarova on 1 Jun 2021\nWhat about initmesh?\nt = linspace(0,2*pi-0.1,20); % unclosed contour (without selfintersection)\n[x1,y1] = pol2cart(t,2); % big circle\n[x2,y2] = pol2cart(t,0.7); % small circle\nx2 = x2 + 2; % move small circle\nm1 = length(x1);\nm2 = length(x2);\nm = max(m1,m2);\ngd = zeros(2+m*2,2); % preallocate matrix for geometry description\ngd(1:(2+2*m1),1) = [2; m1; x1(:); y1(:)]; % assign data for big circle\ngd(1:(2+2*m2),2) = [2; m2; x2(:); y2(:)]; % assign data for small circle\nsf = 'C1-C2'; % solid formula: substract small circle from big circle\nns = char('C1','C2')'; % C1 - big circle, C2 - small circle\ndl = decsg(gd,sf,ns); % decomposite solid geometry\n[p,e,t] = initmesh(dl); % initialize mesh\npdemesh(p,e,t) % show mesh\nmore info: initmesh\npreparation data: LINK\nFind more on Delaunay Triangulation in Help Center and File Exchange\nCommunity Treasure Hunt\nFind the treasures in MATLAB Central and discover how the community can help you!Start Hunting!", "label": "Yes"} {"text": "Class 1 engaged in mathematics\nClass 1 engaged in mathematics; a significant part of human logic and thoughts. Mathematics provides an effective means to create mental discipline and increases logical reasoning. It is found in many fields and disciplines as the concepts and procedures are used to solve engineering, science, and economics problems. Mathematical knowledge also plays an essential role in understanding the concept of other subjects like social studies, music and art. Lastly, mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are the power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability, and even effective communication skills.", "label": "Yes"} {"text": "Using the approximation\nFor small x, find a simple algebraic relationship between FKA(t) and FNA(t)\nComment briefly on the relationship you have found.\n^ ^ ^\nF KA (t) = 1 - ∏ (1 - λj) where λj =\n^ ^ ^ ^ ^\nFNA (t) = 1 - where Λ(t) = ∑ λj and λj =\nPlease see the attached file.\nUsing the approximation ex = 1 + x (approx).\nFor small x, find a simple algebraic ...\nThe solution answers the question(s) below.", "label": "Yes"} {"text": "Evaluate the number of possible combinations of roots for a given polynomial equation. For example for quadratic, you can have:\n- 2 imaginary roots (conjugate)\n- two real distinct roots\n- or 1 repeated root.\nIn this case, we have only 3 possible combinations For cubic you can have:\n- 3 distinct real roots\n- 3 repeated real roots\n- 2 repeated and 1 distinct real roots\n- 2 distinct imaginary (conjugate) and 1 real\n- 1 repeated imaginary (conjugate) and 1 real and in this case we have 5 possible combinations:\ncan you find a formula that gives the total number combinations, for example, 3 for quadratics and 5 for cubic equations, for any given polynomial of degree n?", "label": "Yes"} {"text": "Authors: ALİ HAMZA TANRIKULU, YALÇIN MENGİ, AHMED KAMİL TANRIKULU\nAbstract: In this study, a boundary element formulation having nonlocal boundary conditions is presented for the dynamic analysis of a two-phase composite. Nonlocal boundary conditions, used in the formulation, make it possible to analyze a three-phase composite. The formulation is performed in Fourier transform space using a constant element model. Based on the formulation presented in this study, two general purpose computer programs are developed, namely, CD2NL (for two-dimensional analysis) and CD3NL (for three-dimensional analysis). The programs perform the analysis in Fourier transform space and can also be used for static analysis by assigning a small value to the frequency. The results of some benchmark problems obtained using the programs are compared with those in the literature.\nKeywords: Boundary Element Method, Two-Phase Composite, Three-Phase Composite, Nonlocal Boundary Conditions, Fourier Transform Space.\nFull Text: PDF", "label": "Yes"} {"text": "Let $S(x)$ be the area of the yellow curvilinear triangle. I'd like to find a graph for which $S(x)=H(x)$ where $H $ is some prescribed function (small, smooth, vanishing near the endpoints to any order you wish, etc.). Is it always possible or there are some non-obvious hidden restrictions?\nThe question comes from the infamous t-section problem (if you know the areas of all sections of a symmetric convex body by the hyperplanes at some fixed small distance $t$ from the origin (so small that all sections are non-empty), can you recover the body?). The problem is open even on the plane. I do not say that this toy question is directly relevant here but an answer to it will certainly make a few things clearer for me.", "label": "Yes"} {"text": "Symmetry between mathematical constructions is a very desired phenomena in mathematics in general, and in algebraic geometry in particular. For line arrangements, symmetry between topological characterizations and the combinatorics of the arrangement has often been studied, and the first counterexample where symmetry breaks is in dimension 13. In the first part of this paper, we shall prove that two arrangements of smooth compact manifolds of any dimension that are connected through smooth functions are homeomorphic. In the second part, we prove this in the affine case in dimension 4.\n- Smooth manifold\nAll Science Journal Classification (ASJC) codes\n- Computer Science (miscellaneous)\n- Chemistry (miscellaneous)\n- Physics and Astronomy (miscellaneous)", "label": "Yes"} {"text": "This function has been removed as of Datameer v6.3\nComputes the Jaccard distance of all values in a group. The Jaccard distance between two sets is the ratio of the size of their intersection to the size of their union. For example, the Jaccard distance between two species is 1-(number of regions where both species are present)/(number of regions where at least one species is present).\nThis is an aggregate function.\nGiven the following data:\nFirst create a group using GROUPBY(#RawData!Groups)\nThen use the GROUP_JACCARD_DIST(#RawData!Letters), and the result is the Jaccard distance of the group created from the column in relation to the GROUPBY() column.", "label": "Yes"} {"text": "There’s still plenty of time to enter the Create Your Own Math Exploration Contest from Ascend Math. Ascend Education is giving educators and their students a chance to come up with their own ideas for online explorations for any math objective grade 3-Algebra II. The educator submitting the exploration voted best will receive a $500 cash prize. The second prize winner will receive $250 and the third $100. Three honorable mentions will receive $50 each. Educators interested in submitting will find complete information and examples of online explorations on the Ascend Math website. All entries must be submitted by May 8, 2015. The winners will be notified by email.\nRecently, the Washington Post reported that for the first time ever, the majority of public school students are from low income families, that is students qualifying for free or reduced lunch. The article goes on to explain how this changes the way teachers have to deal with students. They now need to look at these students individually each day. “When did this student eat last?” “Is this student healthy today?” “Is something making this student especially fearful today?” These questions are now a part of most teachers’ daily routine. When everything is pretty much okay with students, they can be taught and dealt with collectively. When things are not okay, individual attention is necessary.\nThe same is true when students, for any reason, fall behind. Just as educators cannot form a collective opinion of what is going on in the personal lives of disadvantaged students, they cannot make a collective decision on what academically struggling students require to progress. Each student in need of intervention is individual and their personal needs or skill gaps must be seen to. According to the Washington Post article this need has greatly expanded. “The shift to a majority-poor student population means that in public schools, a growing number of children start kindergarten already trailing their more privileged peers and rarely, if ever, catch up.”\nThese students can and do catch up when their instruction is individualized to their needs. Providing individual instruction to a few students is extremely challenging. Multiply the need by more than half the students in the class without help and it quickly becomes an impossible situation. Intervention programs must be created to relieve teachers of part of this burden. Programs like Ascend Math provide truly individualized assessment and instruction, reaching down to the student’s lowest math skill gaps. Only in this way can one teacher help a large number of individual students.\nTo learn more about Ascend Math I encourage you to attend one of our brief weekly webinars.\nOur records show that math intervention and enhancement students working in Ascend Math are making fantastic progress this year. We offer this Valentine’s Day math fun for them and you.\n1. The oldest known valentine still in existence today was a poem written in 1415 by Charles, Duke of Orleans, to his wife while he was imprisoned in the Tower of London following his capture at the Battle of Agincourt. (The greeting is now part of the manuscript collection of the British Library in London, England.) How many years have passed since that first valentine?\n2. According to the Hallmark Corporation, 132 million Valentine’s Day cards are exchanged annually, making Valentine’s Day the second-most popular greeting-card-giving occasion. This total does not include packaged kids valentines for classroom exchanges. Packages of 25 Valentines are on sale for $5.00 each. How many could be purchased for $20?\n3. According to a nationwide survey conducted by the National Confectioners Association (NCA) Americans overwhelmingly prefer chocolate over flowers on Valentine’s Day by a margin of 69 to 31%. When asked what was their most popular flavor in a box of Valentine’s Day chocolates here’s how they voted:\n34% Caramel 24% Chocolate-covered nuts 13% Cream filled 13% Chocolate filled\nWhat percentage said something other than these top choices? What do you think was the next most popular chocolate?\nIn honor of Black History Month we’ve provided a few fun and challenging math problems. Try these out.\n1. On 25 March 1965, Martin Luther King led thousands of nonviolent demonstrators on a 5-day, 54-mile march from Selma, Alabama to the steps of the capitol in Montgomery, Alabama. According to the American College of Sports Medicine the average step length of an adult is 2.6 feet or about 31 inches. There are 5,280 feet in a mile.\nCan you determine how many steps were taken by someone marching the entire distance from Selma to Montgomery Alabama? (To estimate there are about 2000 steps in a mile)\n2. A court order restricted the number of marchers to 300 when passing over a stretch of two-lane highway. However, on the final day of the march, when the road reached four lanes the number of demonstrators swelled to 25,000.\nWhat was the percentage of increase?\n3. An African-American and son of a former slave, Benjamin Banneker rose to fame as a brilliant scientist, scholar and mathematician. He wrote and collected mathematical puzzles written in verse. Here is one that can be a lot of fun to try and figure out. See how close you can come to answering the question “How many leaps did the hound have to make to catch the hare?\nWhen fleecy skies have Cloth’d the ground\nWith a white mantle all around\nThen with a grey hound Snowy fair\nIn milk white fields we Cours’d a Hare\nJust in the midst of a Champaign\nWe set her up, away she ran,\nThe Hound I think was from her then\nJust thirty leaps or three times ten\nOh it was pleasant for to see\nHow the Hare did run so timorously\nBut yet so very Swift that I\nDid think she did not run but Fly\nWhen the Dog was almost at her heels\nShe quickly turn’d, and down the fields\nShe ran again with full Career\nAnd ‘gain she turn’d to the place she were\nAt every turn she gain’d of ground\nAs many yards as the greyhound\nCould leap at thrice, and She did make,\nJust Six, if I do not mistake\nFour times She Leap’d for the Dogs three\nBut two of the Dogs leaps did agree\nWith three of hers, nor pray declare\nHow many leaps he took to Catch the Hare.\nJust Seventy two I did Suppose,\nAn Answer false from thence arose,\nI Doubled the Sum of Seventy two,\nBut still I found that would not do,\nI mix’d the Numbers of them both,\nWhich Shew’d so plain that I’ll make Oath,\nEight hundred leaps the Dog to make,\nAnd Sixty four, the Hare to take.\nFor hints on solving this complex verse problem see John F. Mahoney’s excellent discussion of this and other Banneker puzzles\nShare these five engaging Super Bowl math problems with your math intervention or enhancement students.\nA super bowl quarterback can throw a fully inflated football 55 yards in the air. If he has his equipment manager deflate the balls by 16% (or 2 pounds per square inch) and that causes a 10% increase in distance how much further will he throw the ball?\nIf the score is the Patriots at 27 and the Seahawks at 14, what combination of touchdowns (7 points) or field goals (3 points) would the Seahawks have to make in order to tie or win the game?\nIf Marshawn Lynch of the Seattle Seahawks, rushes for 127 yards on 22 carries against the New England Patriots in Super Bowl XLIX, how many yards per carry would he have averaged?\nOh by the way, what Super Bowl number is that?\nDash off the answer!\nA super bowl wide receiver runs a 40 yard dash in 4.5 seconds. Assuming he runs a hundred yards at the same pace, how much longer would it take him?\nThe more complete quarterback\nTom Brady completed 65% of his passes while Russell Wilson completes 70% they each throw 40 passes. How many passes will Tom Brady complete, how many will Russell Wilson complete? Bonus: what is the total of incomplete passes for both quarterbacks?\nA few months ago, Amy Boyd of Holabird STEM program in Baltimore County Schools spoke to a group of math educators attending the NCTM regional conference in Richmond, VA. Holabird STEM program is an Ascend Math Gold Medal leader for 2014.\nPrior to using Ascend, 97% of their students tested at least one grade below grade level, with about 70% of those students testing three or more grades below their current academic grade. The math intervention program they ran last year using Ascend Math helped these students make tremendous gains. More than 60% of students gained two or more grade levels in math.\nPlease watch this brief video.\nMore than a year ago, we made the conscious decision to add a greater level of interactivity to the online lessons in Ascend Math. Ascend Math was already among the most interactive math intervention resources available. We saw the opportunity to go further. The reasons are firmly based in research.\nThe Role of Interactivity in Web-Based Material examined students divided into three groups experiencing the same web content with varying degrees of interactivity. This study found those students working most interactively with a web program attained significantly higher pre to post test gains. The students also reported a greater sense of satisfaction and spent nearly double the amount of time on task compared to the next highest group.\nEducators and students using Ascend Math agree that increased interactivity aids learning. In a recent survey, educators using Ascend Math had the following to say:\n“They like the interactivity. The students are surprised when they see their name in the captions.”\n“Students enjoy the interaction. The interactivity makes this program unique.”\n“I think it helps them to remain focused on what objective is being taught”\nThe Ascend Math website includes several examples of our interactive student experience. Please visit. http://ascendmath.com/student_experience/index.html\nCrosby Middle School was the First Prize Winner in the Ascend Math Reel Success Video contest. All the schools entering videos use Ascend Math with their math intervention students. For example, 60% of tier 3 intervention students at Crosby Middle School grew one or more grade levels the first two months of this school year.\nYou can find all the winners at http://ascendmath.com/math_reel_success.html\nWondering what tech trends you might see in classrooms in 2015? The Washington Post released an article you may be interested in. They even ask for feedback on which ones might be reality and which are wishful thinking.\nStudents using Ascend Math love to track their own progress using the Ascend Climber. They can choose their own avatar and watch as the Climber ascends the mountain with each lesson they pass. Take a look at this special Holiday version of the climber http://22.214.171.124/Ascend4/holidayClimber.html", "label": "Yes"} {"text": "It is shown that the nonstandard representatives of Schwartz distributions, as introduced by K. D. Stroyan and W. A. J. Luxemburg in their book Introduction to the theory of infinitesimals , are locally equal to a finite-order derivative of a finite-valued and S-continuous function. By ‘equality’, we mean a pointwise equality, not an equality in a distributional sense. This proves a conjecture by M. Oberguggenberger in Z. Anal. Anwendungen 10 (1991), 263–264. Moreover, the representatives of the zero-distribution are locally equal to a finite-order derivative of a function assuming only infinitesimal values. These results also unify the nonstandard theory of distributions by K. D. Stroyan and W. A. J. Luxemburg with the theory by R. F. Hoskins and J. Sousa Pinto in Portugal. Math. 48 (1991), 195–216.\nCite this article\nHans Vernaeve, The local structure of nonstandard representatives of distributions. Port. Math. 65 (2008), no. 3, pp. 321–337DOI 10.4171/PM/1815", "label": "Yes"} {"text": "By John Taylor\nThe concept of proof is relevant to arithmetic but it's some of the most tough elements of the topic to coach and grasp. particularly, undergraduate arithmetic scholars usually adventure problems in figuring out and developing proofs.\nUnderstanding Mathematical Proof describes the character of mathematical facts, explores some of the suggestions that mathematicians undertake to turn out their effects, and provides suggestion and techniques for developing proofs. it is going to increase scholars’ skill to appreciate proofs and build right proofs in their own.\nThe first bankruptcy of the textual content introduces the type of reasoning that mathematicians use whilst writing their proofs and provides a few instance proofs to set the scene. The e-book then describes uncomplicated common sense to allow an figuring out of the constitution of either person mathematical statements and entire mathematical proofs. It additionally explains the notions of units and capabilities and dissects numerous proofs with the intention to exposing the various underlying gains universal to such a lot mathematical proofs. the rest of the ebook delves extra into kinds of evidence, together with direct facts, facts utilizing contrapositive, evidence by means of contradiction, and mathematical induction. The authors additionally talk about lifestyles and distinctiveness proofs and the function of counter examples.\nRead Online or Download Understanding mathematical proof PDF\nBest logic books\nQuine is likely one of the 20th century's most vital and influential philosophers. The essays during this assortment are through a few of the prime figures of their fields they usually contact at the newest turnings in Quine's paintings. The ebook additionally beneficial properties an essay via Quine himself, and his replies to every of the papers.\nBerto’s hugely readable and lucid consultant introduces scholars and the reader to Godel’s celebrated Incompleteness Theorem, and discusses probably the most recognized - and notorious - claims bobbing up from Godel's arguments. bargains a transparent figuring out of this hard topic by way of providing all the key steps of the theory in separate chapters Discusses interpretations of the concept made via celebrated modern thinkers Sheds gentle at the wider extra-mathematical and philosophical implications of Godel’s theories Written in an available, non-technical variety content material: bankruptcy 1 Foundations and Paradoxes (pages 3–38): bankruptcy 2 Hilbert (pages 39–53): bankruptcy three Godelization, or Say It with Numbers!\nMathematical good judgment is a department of arithmetic that takes axiom platforms and mathematical proofs as its gadgets of research. This booklet exhibits the way it may also supply a beginning for the improvement of knowledge technology and know-how. the 1st 5 chapters systematically current the middle themes of classical mathematical good judgment, together with the syntax and versions of first-order languages, formal inference structures, computability and representability, and Gödel’s theorems.\n- Handbook of Philosophical Logic (2nd Edition) (Handbook of Philosophical Logic, Volume 17)\n- Feature Logics, Infinitary Descriptions, and Grammar\n- Philosophy: An Innovative Introduction: Fictive Narrative, Primary Texts, and Responsive Writing\n- La concepción semántica de la verdad y los fundamentos de la semántica\n- Prozeßorientiertes Investitionscontrolling: Bewertung von Informationssystemen mit Hilfe der Fuzzy Logic\nExtra info for Understanding mathematical proof\nThere are other ways of expressing conjunction in English other than using the word ‘and’. Consider the following propositions. 1. Sue went to the party last night but Jamie didn’t. 2. Hamid passed the module whereas Mike did not. 3. Jim played football although he was suffering from a cold. In each case, the proposition is true only when both of its component simple propositions are true; hence, each proposition is the conjunction of its two components. The English sentences each have slightly different nuances compared with the corresponding sentences using ‘and’ to form the conjunction.\nSimply as a device to emphasise that the top level structure is a disjunction rather than a conditional. In this case, we would apply the convention that disjunctions are interpreted as inclusive unless they are explicitly denoted as exclusive and symbolise the sentence as ¬Q ∨ (P ⇒ R). Either of these is a reasonable interpretation of the English language sentence and we leave the reader to decide which is their preferred interpretation. This again emphasises that natural language may sometimes be ambiguous and open to more than one interpretation.\nTo see this, suppose we replace the term ‘odd’ with ‘prime’ and, to be consistent, we also replace the term ‘even’ (meaning ‘not odd’) with ‘composite’ (meaning ‘not prime’). Then the reasoning is the following. The square of any composite integer is also composite. 1234567893 is prime. Therefore (1234567893)2 is prime. In this case the first two statements are true as before but the final statement is false. An obvious requirement of any piece of valid reasoning must be that, if the initial (above the line) statements are true, then the (below the line) conclusion must also be true.", "label": "Yes"} {"text": "Hey, first post and all so maybe someone can help me out with a question from my Number Theory class. It's in the Congruences chapter.\nProve that if n is congruent to 4 (mod 9), then n cannot be written as the sum of 3 cubes.\nThanks in advance for the help!\nEdit: I'm not sure if it's a typo when you wrote that a sum of cubes can't be congruent to 4 mod 9... of course if we have four cubes then we can just choose 1+1+1+1.", "label": "Yes"} {"text": "Abstract: The Gompertz distribution has many applications, particularly in medical and actuarial studies. However, there has been little recent work on the Gompertz in comparison with its early investigation. The problem of analyzing and estimating parameters of bivariate Gompertz distribution with shared frailty is of interest and the focus of this paper. We propose maximum likelihood estimation procedure for a bivariate survival model in which dependence is generated by a gamma distribution. We assume that the bivariate survival times follow bivariate Gompertz distribution and distribution of censoring variable is independent of the two life times. A search of the literature suggests there is currently no bivariate Gompertz distribution with shared frailty.\nKeywords: Bivariate Gompertz distribution, censored sample, fisher information, gamma frailty, maximum likelihood estimators (MLE), survival times", "label": "Yes"} {"text": "First, here is the worksheet for yesterday's discussion:\nThis is the first worksheet of the final unit of the trimester. No, they have not had anything about derivatives, Riemann sums, or partial fractions in class. And yet, this is what happened:\nEvery group was able to estimate the area under the curve in #5, an every group came to the conclusion that in order to write the sum using \"sigma notation\", a choice needed to be made about \"which end of the base\" (left or right) to use to calculate the height of the rectangles. Every group was able to find the partial fraction decomposition in #6.\nWhen the students actually do the prep work and actively participate in the discussions, this is what happens.", "label": "Yes"} {"text": "Math - Hundreds Place\nThe students have been doing an excellent job of adding 3 digit numbers. This week we will begin subtracting 3 digit numbers. They have the addition and subtraction skills to do the homework this week, but maybe not the planning and organizational skills to set up the problems. This may be a family homework activity!\nScience Lab Fridays\nI hope by now you have been hearing about the fun labs we are doing each Friday. The students are getting some hands on experience with physics and matter. In second grade this week we will be learning more about different types of matter. The big takeaways for the students should include; stuff is made of other stuff, matter can take different forms, matter is constantly rearranging to make new substances.\nThe students are also doing various physics experiments. In third grade students will learn more about how everything works. Our big second grade goal is to start to understand forces and inertia. Though they may not be able to articulate their understanding, they should internalize the principles.\nHomework this week is just one math page and spelling. The math page might be tough. The students have all of the computation skills they will need, but not the setup and planning skills for some problems. This might be a family assignment.\nWe have two upcoming field trips. On April 22 (Earth Day) we are going to Chico to watch the new Disney Nature Movie - Monkey Kingdom.\nI am also working to schedule a field trip to go on a Geology Hike in Upper Bidwell Park through Chico Creek Nature Center. I will let you know as soon as this is scheduled.\nThanks to everyone who came out to PLP's and the Auction last week. This is what makes our school so special. There are lots of people investing in your children and that is awesome.\nI am going to Shady Creek with the Sixth Graders as the Principal Monday through Wednesday. Mrs. Wright will be doing her famous volcano unit for geology. We are starting to work with adding and subtracting 3 digit numbers now in math. The students should do great! If you have any questions please contact Jessica. I will be back Thursday.\nHomework this week is a packet due Friday. It contains spelling and math homework. 20 minutes of Moby Max can be substituted for any math homework page. Just write Moby Max on the top and sign it and your child will get credit.\nIn addition to Geology we are doing a science lab series each Friday with 3rd grade. Ask your child about it. They are doing 3 different science labs each Friday. It has been great so far (2 weeks).\nWe had so much fun during Read Across America Week with our reading teams competition that the students wanted to do it again. This is week two of a two week competition. Any quizzes taken before recess Friday will count in this competition. The prize is one item from the current Book Order which is going home today.", "label": "Yes"} {"text": "Summary: Coin-flipping games immune against linear-sized coalitions\nTel Aviv University\nIBM Almaden Research Center\nFebruary 22, 2002\nPerfect information coin-flipping and leader-election games arise naturally in the study of\nfault tolerant distributed computing and have been considered in many different scenarios.\nAnswering a question of Ben-Or and Linial we prove that for every c < 1 there are such games\non n players in which no coalition of cn players can influence the outcome with probability\ngreater than some universal constant times c. (Note that we actually prove this statement only\nfor all c < 1/3, but since our universal constant is bigger than 3 the above is trivial for c 1/3.)\nWe show that a random protocol of a certain length has this property and give an explicit\nconstruction as well.\nAddress: Eskenazy School of Mathematics, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv,\nIsrael. e-mail: firstname.lastname@example.org. Most of this work was done while the author was visiting IBM Almaden Research", "label": "Yes"} {"text": "ECF estimation of Markov models where the transition density is unknown\nIn this paper, we consider the estimation of Markov models where the transition density is unknown. The approach we propose is based on the empirical characteristic function estimation procedure with an approximate optimal weight function. The approximate optimal weight function is obtained through an Edgeworth/Gram--Charlier expansion of the logarithmic transition density of the Markov process. We derive the estimating equations and demonstrate that they are similar to the approximate maximum likelihood estimation (AMLE). However, in contrast to the conventional AMLE our approach ensures the consistency of the estimator even with the approximate likelihood function. We illustrate our approach with examples of various Markov processes. Monte Carlo simulations are performed to investigate the finite sample properties of the proposed estimator in comparison with other methods. Copyright The Author(s). Journal compilation Royal Economic Society 2010.\nIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.\nAs the access to this document is restricted, you may want to look for a different version under \"Related research\" (further below) or search for a different version of it.\nVolume (Year): 13 (2010)\nIssue (Month): 2 (07)\n|Contact details of provider:|| Postal: 2 Dean Trench Street, Westminster, SW1P 3HE|\nPhone: +44 20 3137 6301\nWeb page: http://www.res.org.uk/\nMore information through EDIRC\n|Order Information:||Web: http://www.ectj.org|", "label": "Yes"} {"text": "This 54-piece teaching décor set reinforces problem-solving strategies and keywords to help students grasp essential math concepts. Enhance learning with curriculum-based bulletin board sets. These content-rich bulletin boards for classrooms allow you to utilize valuable wall space for presenting essential concepts without sacrificing an inviting atmosphere. Look for coordinating products to accent your displays and create a cohesive classroom theme!\nThe Problem Solving bulletin board set contains these pieces:\n•2 strategy reference charts\n•5 math symbols (3-piece division symbol)\n•45 blank pieces to create keywords\n|Classroom management||Reminders & Tips|", "label": "Yes"} {"text": "After increasing the number of employees by 15% company has 253 employees. How many employees take?\nThank you for submitting an example text correction or rephasing. We will review the example in a short time and work on the publish it.\nLeave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):\nShowing 0 comments:\nBe the first to comment!\nTips to related online calculators\nFollowing knowledge from mathematics are needed to solve this word math problem:\nNext similar math problems:\n- To improper fraction\nChange mixed number to improper fraction a) 1 2/15 b) -2 15/17\n- Tenths digit\nFor 10.932, which digit is in the tenths place?\n- Reduce to lowest terms\nReduce to lowest terms : 32/124\nDetermine for what x fraction ?:\n- Seeds 2\nHow many seeds germinated from 1000 pcs, when 23% no emergence?\n- Passenger boat\nTwo-fifths of the passengers in the passenger boat were boys. 1/3 of them were girls and the rest were adult. If there were 60 passengers in the boat, how many more boys than adult were there?\n- Lengths of the pool\nMiguel swam 6 lengths of the pool. Mat swam 3 times as far as Miguel. Lionel swam 1/3 as far as Miguel. How many lengths did mat swim?\nIn 7.C clss are 10 girls and 20 boys. Yesterday was missing 20% of girls and 50% boys. What percentage of students missing?\nIron ore contains 57% iron. How much ore is needed to produce 20 tons of iron?\n- Cupcakes 2\nSusi has 25 cupcakes. She gives 4/5. How much does she have left?\n- Fraction to decimal\nWrite the fraction 3/22 as a decimal.\n- Write 2\nWrite 791 thousandths as fraction in expanded form.\nTeacher Rem bought 360 pieces of cupcakes for the outreach program of their school. 5/9 of the cupcakes were chocolate flavor and 1/4 wete pandan flavor and the rest were a vanilla flavor. How much more pandan flavor cupcakes than vanilla flavor?\n- Fraction and a decimal\nWrite as a fraction and a decimal. One and two plus three and five hundredths\nZdeněk picked up 15 l of water from a 100-liter full-water barrel. Write a fraction of what part of Zdeněk's water he picked.\nIf I withdrew 2/5 of my total savings and spent 7/10 of that amount. What fraction do I have in left in my savings?\n- In fractions\nAn ant climbs 2/5 of the pole on the first hour and climbs 1/4 of the pole on the next hour. What part of the pole does the ant climb in two hours?", "label": "Yes"} {"text": "A simply connected topological space is called elliptic if both π*(X, ℚ) and H*(X, ℚ) are finite-dimensional ℚ-vector spaces. In this paper, we consider fibrations for which the fibre X is elliptic and H*(X, ℚ) is evenly graded. We show that in the generic cases, the genus of such a fibration is completely determined by generalized Chern classes of the fibration.\n|Number of pages||10|\n|Journal||Proceedings of the American Mathematical Society|\n|Publication status||Published - Feb 2004|\nAll Science Journal Classification (ASJC) codes\n- Applied Mathematics", "label": "Yes"} {"text": "How can we help?\nYou can also find more resources in our\nSelect a category\nSomething is confusing\nSomething is broken\nI have a suggestion\nWhat is your email?\nWhat is 1 + 3?\nUpgrade to remove ads\nPoints, Angles, Lines (Basic Geometry)\npoints on the same line\ncongruent line segment\nLine segments that have the same length\na location in space that has no size\na set of points that form a stright path extending in oppsite directions without end\nfigure formed by two rays with the same initial point\nthe pure mathematics of points and lines and curves and surfaces\nare points that do not lie on the same line\npoints all in one plane\nthe act of intersecting (as joining by causing your path to intersect your target's path), a place where two or more points meet\nmidpoint of a segment\nThe point that divides a segment into two congruent segments.\npoints on the ends of line segments\ntwo dimensional flat surface, extends forever.\ncontains at least 4 points not in one line\nan angle between 90 and 180 degrees\nan angle of 180 degrees\nformed by rays\ntwo rays with the same initial point that go in opposite directions\nthe point of intersection of lines or the point opposite the base of a figure\nbisector of a segment\na line, segment, ray, or plane that intersects the segment at its midpoint\nan angle less than 90 degrees but more than 0 degrees\nAngles that have the same measure\nthe 90 degree angle between two perpendicular lines\nangles are formed opposite of each other when two lines intersect\nbisector of an angle\nthe ray that divides the angle into two congruent adjacent angles\ntwo lines that meet and form a right angle\npoints that are not in the same plane\na part of a line with two endpoints\nTwo angles with a common side, a common vertex, and no common points within the angles\nTwo angles that add to 180º are called\nif the sum of two angles is 90%\nunit based to measure angles ( symbol )\nPart of a line that has one endpoint and extends indefinitely in one direction.\nA line that is perpendicular to a segment at its midpoint.\ntwo angles in corresponding positions relative to two lines cut by a transversal\nalternate exterior angles\nTwo nonadjacent exterior angles on opposite of the transversal.\nsame side-interior angles\ninterior angles on the same side of a transversal\nThe angle on the outside of a transversal.\nnoncoplanar lines that do not intersect\nplanes that don't intersect\nis a line that intersects each of two other coplanar lines in different points\nthe angle inside of a transversal\nalternate interior angles\ntwo nonadjacent interior angles on opposite of the transversal\nUpgrade to remove ads", "label": "Yes"} {"text": "In choropleth mapping, most classification schemes that have been proposed are based on the properties of the data's statistical distribution without regard for the data's spatial distribution. However, one of the more important tasks associated with choropleth map reading is the task of regionalization and identifying spatial patterns. For this reason some authors have proposed class interval selection procedures that also consider spatial contiguity. This book evaluates different classification schemes based on given data sets statistical as well as its spatial distribution. This book also involved with the choosing of suitable choropleth technique for given data set considering their accuracy level.", "label": "Yes"} {"text": "Word of the Day\nApps by Dictionary\nA lot vs. Alot: 9 Grammatical Pitfalls\nthe theorem that a function is analytic in a simply connected domain if its integral is zero around every simple closed curve of finite length in the domain.\nafter Italian mathematician and physicist Giacinto\n(1856-1909), who formulated it\nBased on the Random House Dictionary, © Random House, Inc. 2015.\nCite This Source\nDiscover our greatest slideshows\n9 Words to Help You Navigate the...\n7 Chinese Loanwords to Expand Your...\nPoodle, Basset & Beagle: 10 Dog...\nA Look at 8 Expressions with Heart\nBrowse more topics on our blog\nWhat Is the Difference Between Discreet and Discrete?\nLearn the correct uses of these two commonly confused homophones.\nWhat Character Was Removed from the Alphabet?\nWhat mistaken pronunciation gave this character its name?\nThis small mark has two primary uses: to signify possession or omitted letters.\nHow Do I Get a Word into the Dictionary?\nPeople invent new words all the time, but which ones actually make it?\nWord of the Day\nDifficulty index for\nFew English speakers likely know this word\nWord Value for\nWords With Friends\nTo insure the adoration of a theorem for any length of time, faith is not enough, a police force is...\n... fain would I turn back the clock and devote to French or some other language the hours I spent...\nJessie B. Rittenhouse\nIn the field of politics the equivalent of a theorem is a perfectly disciplined army; of a sonnet or...\nNearby words for moreras-theorem\nmore things in heaven and earth, horatio\nmore, paul elmer\nmore, sir anthony\nmoreh, the hill of\nmorelos y pavón\nmoreton bay bug\nmoreton bay fig\nmorgagni, giovanni battista\nmorgain le fay\nmorgan le fay\nmorgan, conwy lloyd\nmorgan, j. pierpont\nmorgan, john hunt", "label": "Yes"} {"text": "3-manifolds not obtained by surgery on a knot\nA well-known theorem of Lickorish and Wallace states that any closed orientable 3-manifold can be obtained by surgery on a link in the 3-sphere. For a given 3-manifold one can ask how \"simple\" a link can be used to obtain it, e.g., whether a manifold satisfying certain obvious necessary conditions on its fundamental group always arises by surgery on a knot. This question turns out to be rather subtle, and progress has been limited, but in general the answer is known to be \"no.\" Here Ill summarize some recent results including joint work with Matt Hedden, Min Hoon Kim, and Kyungbae Park that give the first examples of 3-manifolds with the homology of S^1 x S^2 and having fundamental group of weight 1 that do not arise by surgery on a knot in the 3-sphere.", "label": "Yes"} {"text": "The first player rolls 2 dice. They add the numbers to get a total. They can then cover any of numbers, with a token, that add up to the total, or the total number itself. Example: If a 3 and a 2 are rolled the player can cover the 3 and the 2, the 4 and the 1, or a 5. If the player can not cover the total rolled or a combination that adds up to that number, the roll returns to the other player. A time limit can be set for the game or the game can end when one player covers all of their numbers. This is a great game for practicing addition and play strategies.", "label": "Yes"} {"text": "Current Flow Closeness Maximization\nCode for paper https://arxiv.org/abs/1802.02556\nJulia version 0.6.0\nJulia package Laplacians.jl which can be installed by\njulia -e 'Pkg.add(\"Laplacians.jl\")'\nHow to run\nOPENBLAS_NUM_THREADS=1 julia -O3 test.jl data-dir algos k, where\ndata-diris the directory where the edges list files are. The algorithms will run on these files in lexicographical order of the file names. The result will be printed to both console and file\nalgosdenotes which algorithms to run.\nexactmeans running exact greedy,\napproxmeans running approx greedy, and\nbothmeans running both greedy algorithms (default\nkis an integer, denotes the number of vertices to chose (default\nOPENBLAS_NUM_THREADS=1is to enforce the program to run on a single thread.\nOPENBLAS_NUM_THREADS=1 julia -O3 test.jl data exact 5\nmeans running the exact greedy on networks in directory\nchoosing 5 vertices for each network. The result will be printed to\nboth console and", "label": "Yes"} {"text": "JFundi - Educational Software\nLibrary Home || Full Table of Contents || Library Help\n|JFundi offers educational software. Their first product is Times Tables intended to help children memorize the multiplication tables. The Java software runs on multiple platforms.|\n|Resource Types:||Educational Vendors, Instructional Packages/Games, Web Interactive/Java|\n© 1994- The Math Forum at NCTM. All rights reserved.", "label": "Yes"} {"text": "|iPath Series B SP GSCI Crude Oil -- USA Etf|| |\nUSD 56.43 0.1 0.18%\nGiven the investment horizon of 30 days, and your above average risk tolerance our recommendation regarding iPath Series B SP GSCI Crude Oil is 'Cautious Hold'\nFor the selected time horizon iPath Series B SP GSCI Crude Oil has a mean deviation of 0.6232, semi deviation of 0.0, standard deviation of 1.22, variance of 1.48, downside variance of 0.0 and semi variance of 0.0\nMacroaxis buy or sell recommendation module provides unbiased buy or sell advice that can be used to complement current average analyst sentiment\non iPath Series B. Our buy or sell recommendation engine ##verb4## current market data to analyse the entity potential to grow from the prospective of investors risk tolerance and investing horizon. Please check out iPath Series B Total Asset\nto decide if your iPath Series B buy or sell deciscion is justified.\nReturns Distribution Density\n|Mean Return||0.27||Value At Risk||0.72|\n|Potential Upside||1.56||Standard Deviation||1.22|\niPath Series Greeks\niPath Series Volatility Alert\niPath Series B SP GSCI Crude Oil exhibits very low volatility with skewness of 3.65 and kurtosis of 15.13. However, we advise investors to further study iPath Series B SP GSCI Crude Oil technical indicators to make sure all market info is available and is reliable.", "label": "Yes"} {"text": "In this paper, we develop an agent-based multi-layered interbank network model based on a sample of large EU banks. The model allows for taking a more holistic approach to interbank contagion than is standard in the literature. A key finding of the paper is that there are non-negligible non-linearities in the propagation of shocks to individual banks when taking into account that banks are related to each other in various market segments. In a nutshell, the contagion effects when considering the shock propagation simultaneously across multiple layers of interbank networks can be substantially larger than the sum of the contagion-induced losses when considering the network layers individually. In addition, a bank “systemic importance” measure based on the multi-layered network model is developed and is shown to outperform standard network centrality indicators.", "label": "Yes"} {"text": "For the Meetup of February we will again offer a brain challenging evening. Andrew Tweddle will challenge us with various approaches to tackling the sum of squares problem. With Steven Taschuck we will discuss a paper about a collaboration network that is derived from the Marvel Universe. In the two abstracts below we provide more information on these talks.\nThe sum of all squares, by Andrew Tweddle (http://andrewtweddle.blogspot.ca/).\nAbstract: How many squares are there on a chessboard? Include squares of all sizes: 1 x 1, 2 x 2 up to 8 x 8.More generally, how many squares are there on an n by n grid expressed as a function of n? Solve this problem in as many different ways as you can.Andrew Tweddle will be presenting a variety of solutions - algebraic, combinatorial and visual. Feel free to bring your own solutions for discussion. Let's see if we can find a particularly elegant solution to this problem.If time permits, Andrew will also demonstrate iPython and SymPy for automating some of the algebra.\nMarvel Universe looks almost like a real social network (paper by R. Alberich, J. Miro-Julia, F.Rossello), (http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.332.2051&rep=rep1&type=pdf) presented by Steven Taschuck (http://www.amotlpaa.org/)\nAbstract: We investigate the structure of the Marvel Universe collaboration network, where two Marvel characters are considered linked if they jointly appear in the same Marvel comic book. We show that this network is clearly not a random network, and that it has most, but not all, characteristics of “real-life” collaboration networks, such as movie actors or scientific collaboration networks. The study of this artificial universe that tries to look like a real one, helps to understand that there are underlying principles that make real-life networks have definite characteristics.", "label": "Yes"} {"text": "Dr. Ana-Maria Croicu was the 2015 recipient of the KSU Foundation Distinguished Teaching Award. A native of Romania, she received a PhD in pure mathematics in 2001 from the Babes-Bolyai University of Cluj-Napoca. In 2005 she was awarded a second PhD in applied mathematics from Florida State University. Since 2006 she has taught mathematics at Kennesaw State University. She is also program director of a STEM scholarship program funded by a grant from the National Science Foundation.\nInterview with Ana-Maria Croicu, 2015-10-02, Kennesaw State University oral history series, Kennesaw State University Oral History Project, 1973- , KSU/45/05/001, Kennesaw State University Archives.\nThe digital reproductions on this site are provided for research consultation and scholarly purposes only. To request permission to publish, reproduce, publicly display, broadcast, or distribute this material in any format outside of fair use please contact the Kennesaw State University Archives.", "label": "Yes"} {"text": "By Stephane Pirouet at December 21 2018 17:59:39\nOnce you have a scope and sequence book, make a list of each area in math that he needs to work on for the school year. For example for grades three and four, by the end of the year in subtraction, your child should be able to:\nI recommend getting one of these books when you first begin homeschooling and use it as a reference throughout your homeschool journey. Regardless of how long you homeschool, you'll always have doubts and questions about how your child is performing.A scope and sequence book can put your mind at ease.\nThese students have weak immediacy. This means that compared to other students, they are slow to come up with the right answers to basic math problems like 6 x 8, or 35 divided by 7. While other kids have the answer stored in their memory, these kids do not. This causes big problems when they try to work through the more complex problems they encounter in junior high math.\nFrom a teacher's perspective our competition is tough. Passing out a handout of 30 problems that are all in a format of 534x25= is not as stimulating in the students' eyes as playing games such as Grand Theft Auto and Resident Evil.\nSave Time : Free worksheets not only save you money, they can also save you time. If you decide that it is best for your child to do worksheets especially tailored for his needs, by doing a little research for printable math worksheets found online, you don't have to make the worksheets yourself. This can save a lot of time. Worksheets aren't that difficult to make, but it can be time consuming.\nmath worksheets fraction\nmath worksheets addition\nmath worksheets multiplication", "label": "Yes"} {"text": "Joules to Megajoules Converter\nEnter the energy in joules below to get the value converted to megajoules.\nDo you want to convert megajoules to joules?\nHow to Convert Joules to Megajoules\nTo convert a measurement in joules to a measurement in megajoules, divide the energy by the following conversion ratio: 1,000,000 joules/megajoule.\nSince one megajoule is equal to 1,000,000 joules, you can use this simple formula to convert:\nmegajoules = joules ÷ 1,000,000\nThe energy in megajoules is equal to the energy in joules divided by 1,000,000.\nJoules and megajoules are both units used to measure energy. Keep reading to learn more about each unit of measure.\nWhat Is a Joule?\nThe joule is the energy equal to the force on an object of one newton at a distance of one meter. One joule is equal to the heat energy dissipated by the current of one ampere through one ohm of resistance for one second.\nThe joule is the SI derived unit for energy in the metric system. Joules can be abbreviated as J; for example, 1 joule can be written as 1 J.\nLearn more about joules.\nWhat Is a Megajoule?\nThe megajoule is a multiple of the joule, which is the SI derived unit for energy. In the metric system, \"mega\" is the prefix for millions, or 106. Megajoules can be abbreviated as MJ; for example, 1 megajoule can be written as 1 MJ.\nLearn more about megajoules.\nJoule to Megajoule Conversion Table\n|1 J||0.000001 MJ|\n|2 J||0.000002 MJ|\n|3 J||0.000003 MJ|\n|4 J||0.000004 MJ|\n|5 J||0.000005 MJ|\n|6 J||0.000006 MJ|\n|7 J||0.000007 MJ|\n|8 J||0.000008 MJ|\n|9 J||0.000009 MJ|\n|10 J||0.00001 MJ|\n|100 J||0.0001 MJ|\n|1,000 J||0.001 MJ|\n|10,000 J||0.01 MJ|\n|100,000 J||0.1 MJ|\n|1,000,000 J||1 MJ|\n- International Bureau of Weights and Measures, The International System of Units, 9th Edition, 2019, https://www.bipm.org/documents/20126/41483022/SI-Brochure-9-EN.pdf", "label": "Yes"} {"text": "How Many Robots(Games categories: Robots, 1 Player, Flash, Kids, Quizz, Numbers, Baby, Android game, Free Game)\nDescription of How Many Robots game:\nGame description: How many robots there are is a game for children, a math game but also an observation game. We must count the robots in front of us in an extraterestrial scenery.\nGame controls: This game is played by mouse only.\n80 / 108 persons voted like for How Many Robots!\n|Add game to your web or blog!|", "label": "Yes"} {"text": "Determine the equation of the parabola that opens downward from (1,-3) and is congruent to y=2(x-4)2.\nDo you mean this: y=2(x-4)^2\nor this: y=2(x-4)+2\nor something else?\nI'll GUESS that it's this: y=2(x-4)^2\nThis suggests a parabola oppening up and vertex at (4,0).\nA \"congruent\" parabola, then, with the other requirements, might be y=-2(x-1)^2 - 3\nReally, it goes straight to the heart of understanding the form of the equation. There isn't anything magic or calculation-intensive about it.", "label": "Yes"} {"text": "Lots of opportunities are available to those with a bachelor's degree in mathematics. In some fields, such as biostatistics, finaincial mathematics, or operations research, a professional master's degree is preferred (or at least qualifies one for a higher salary). In research mathematics, a Ph.D. is required. Keep in mind: graduate school in the mathematical sciences is often free. Most Ph.D. programs in pure mathematics have financial support available in the form of tuition waivers plus a research stipend or a part-time teaching/grading job. This is also true for Ph.D. programs in statistics, applied mathematics, computer science, and operations research. Financial support for master's degrees varies wildly from field to field and sometimes from school to school; it's rarely available for pure mathematics, but is much more available for applied mathematics, statistics, financial mathematics, and biostatistics.\nHow should you go about applying to doctoral programs? Try this:\nThe Registry of Undergraduate Researchers\nmight match you with a graduate school.\nWant advanced work in actuarial science? Check the SOA list of programs and sort by level of courses offered, descending.\nMake your own rankings for Ph.D. programs (that is, rankings based on criteria you choose). This site also has the most recent ranking of programs by the National Research Council as of 2010.\nUS News also ranks graduate and professional programs; check to see if your library has online access or the print edition. Also look for The Gourman Report, most recently published in 1997 but still reasonably relevant. Harvey Mudd maintains a list of graduate mathematics programs ordered by the National Research Council's 1995 rankings.\nHere are hyperlinked lists of U.S. doctoral programs in mathematics and applied mathematics/operations research and statistics/biostatistics and mathematics education, so you can check out individual departments.", "label": "Yes"} {"text": "|Publication number||US7451326 B2|\n|Application number||US 10/228,151|\n|Publication date||Nov 11, 2008|\n|Filing date||Aug 26, 2002|\n|Priority date||Aug 26, 2002|\n|Also published as||CN1689267A, CN100592676C, CN101916178A, CN101916178B, DE60313637D1, DE60313637T2, EP1547302A1, EP1547302B1, US7962758, US8386802, US20040039922, US20090055659, US20110208976, WO2004019548A1|\n|Publication number||10228151, 228151, US 7451326 B2, US 7451326B2, US-B2-7451326, US7451326 B2, US7451326B2|\n|Original Assignee||Mosaid Technologies, Inc.|\n|Export Citation||BiBTeX, EndNote, RefMan|\n|Patent Citations (32), Non-Patent Citations (2), Referenced by (5), Classifications (9), Legal Events (5)|\n|External Links: USPTO, USPTO Assignment, Espacenet|\nThis invention relates generally to parallel processors, and in particular to a parallel processor capable of processing arbitrary key bit length encryption operations with similar efficiencies using a same processor.\nIt is becoming relatively common to exchange electronically stored documents between parties to a transaction, for instance via a widely distributed information network such as the Internet of the World Wide Web (WWW). A common problem with the Internet is a lack of secure communication channels. Thus, in order for hospitals, governments, banks, stockbrokers, and credit card companies to make use of the Internet, privacy and security must be ensured. One approach to solving the aforementioned problem uses data encryption prior to transmission. In a prior art system, a host computer system is provided with an encryption unit, for example an encryption processor that is in electrical communication with at least a memory circuit for storing at least a private encryption key. When information is to be transmitted from the host computer system to a recipient via the Internet and is of a confidential nature, the information is first passed to the encryption processor for encryption using the stored private key. Typically, a same private key is used every time a data encryption operation is performed. Alternatively, an encryption key is selected from a finite set of private encryption keys that is stored in the at least a memory circuit in electrical communication with the encryption processor.\nOf course, a data encryption operation that is performed by an encryption processor is a mathematical algorithm in which an input data value, for instance a hashed version of an electronic document, is the only variable value. It is, therefore, possible to optimize the encryption processor to perform a desired encryption function using a least amount of processor resources. Additionally, in the prior art encryption units the optimized encryption processor is typically separate from the microprocessor of the host computer system, because it is best optimized in this way.\nSeveral standards exist today for privacy and strong authentication on the Internet through encryption/decryption. Typically, encryption/decryption is performed based on algorithms which are intended to allow data transfer over an open channel between parties while maintaining the privacy of the message contents. This is accomplished by encrypting the data using an encryption key by the sender and decrypting it using a decryption key by the receiver. In symmetric key cryptography, the encryption and decryption keys are the same.\nEncryption algorithms are typically classified into public-key and secret-key algorithms. In secret-key algorithms, keys are secret whereas in public-key algorithms, one of the keys is made widely known to the general public. Block ciphers are representative of the secret-key cryptosystems in use today. Usually, for block ciphers, symmetric keys are used. A block cipher takes a block of data, typically 32-128 bits, as input data and produces the same number of bits as output data. The encryption and decryption operations are performed using the key, having a length typically in the range of 56-128 bits. The encryption algorithm is designed such that it is very difficult to decrypt a message without knowing the key.\nIn addition to block ciphers, Internet security protocols also rely on public-key based algorithms. A public key cryptosystem such as the Rivest, Shamir, Adelman (RSA) cryptosystem described in U.S. Pat. No. 5,144,667 issued to Pogue and Rivest uses two keys, one of which is secret—private—and the other of which is publicly available. Once someone publishes a public key, anyone may send that person a secret message encrypted using that public key; however, decryption of the message can only be accomplished by use of the private key. The advantage of such public-key encryption is private keys are not distributed to all parties of a conversation beforehand. In contrast, when symmetric encryption is used, multiple secret keys are generated, one for each party intended to receive a message, and each secret key is privately communicated. Attempting to distribute secret keys in a secure fashion results in a similar problem as that faced in sending the message using only secret-key encryption; this is typically referred to as the key distribution problem.\nKey exchange is another application of public-key techniques. In a key exchange protocol, two parties can agree on a secret key even if a third party intercepts their conversation. The Diffie-Hellman exponential key exchange method, described in U.S. Pat. No. 4,200,770, is an example of such a protocol.\nMost public-key algorithms, such as RSA and Diffie-Hellman key exchange, are based on modular exponentiation, which is the computation of αx mod p. This expression means “multiply α by itself x times, divide the answer by p, and take the remainder.” This is very computationally expensive to perform, for the following reason. In order to perform this operation, many repeated multiplication operations and division operations are required. Techniques such as Montgomery's method, described in “Modular Multiplication Without Trial Division,” from Mathematics of Computation, Vol. 44, No. 170 of April 1985, can reduce the number of division operations required but do not overcome this overall computational expense. In addition, for present data encryption systems the numbers used are very large (typically 1024 bits or more), so the multiply and divide instructions found in common CPUs cannot be used directly. Instead, special algorithms that break down the large multiplication operations and division operations into operations small enough to be performed on a CPU are used. These algorithms usually have a run time proportional to the square of the number of machine words involved. These factors result in multiplication of large numbers being a very slow operation. For example, a Pentium® processor can perform a 32×32-bit multiply in 10 clock cycles. A 2048-bit number can be represented in 64 32-bit words. A 2048×2048-bit multiply requires 64×64 separate 32×32-bit multiplication operations, which takes 40960 clocks on the Pentium® processor. An exponentiation with a 2048-bit exponent requires up to 4096 multiplication operations if done in the straightforward fashion, which requires about 167 million clock cycles. If the Pentium processor is running at 166 MHZ, the entire operation requires roughly one second. Of course, the division operations add further time to the overall computation times. Clearly, a common CPU such as a Pentium cannot expect to do key generation and exchange at any great rate.\nPipeline processors comprising a plurality of separate processing elements arranged in a serial array, and in particular a large number of processing elements, are known in the prior art and are particularly well suited for executing data encryption algorithms. Two types of pipeline processor are known: processors of an in-one-end-and-out-the-other nature, wherein there is a single processing direction; and, bi-directional processors of an in-and-out-the-same-end nature, wherein there is a forward processing direction and a return processing direction. Considering a specific example of a bi-directional pipeline processor, a first data block is read from a memory buffer into a first processing element of the serial array, which element performs a first stage of processing and then passes the first data block on to a second processing element. The second processing element performs a second stage of processing while, in parallel, the first processing element reads a second data block from the memory buffer and performs a same first processing stage on the second data block. In turn, each data block propagates in a step-by-step fashion from one processing element to a next processing element along the forward processing direction of the serial array. At each step, there is a processing stage that performs a same mathematical operation on each data block that is provided thereto. Simultaneously, a result that is calculated at each processing element is provided to a previous processing element of the serial array, with respect to the return processing direction, which results comprise in aggregate the processed data returned by the encryption processor. This assembly-line approach to data processing, using a large number of processing elements, is a very efficient way of performing the computationally expensive data encryption algorithms described previously. Of course, the application of pipeline processors for performing computationally expensive processing operations is other than limited strictly to data encryption algorithms, which have been discussed in detail only by way of example.\nIt is a disadvantage of the prior art encryption processors that the processors are limited to fixed key sizes or alternatively to fixed performance. Thus, either a processor only works with keys of, for example, 128 bits or the processor requires equal time to process a 128 bit encryption operation as to process a 40 bit encryption operation. Typically, these two design requirements allow for best performance of the processor.\nIt would be advantageous to provide a parallel processor capable of processing arbitrary key bit length encryption operations with similar efficiencies using a same processor.\nIt is an object of the invention to provide a pipeline processor capable of processing encryption operations using keys with different bit lengths with similar efficiencies.\nIn accordance with the invention there is provided a method for processing data comprising the steps of:\nIn accordance with the invention there is provided an apparatus for processing data comprising:\nIn accordance with the invention there is provided an apparatus for processing data comprising:\nThe invention will be readily understood by the following description of preferred embodiments, in conjunction with the following drawings, in which:\nThe present invention is concerned with an implementation of a parallel processor for use in encryption operations, the implementation being such that the parallel processor supports variable length encryption keys without substantially compromising efficiency.\nIn order to perform an encryption operation, an encryption key of a predetermined length is provided to the processor 1 and the encryption operation is performed. Alternatively, if the encryption key is less than the predetermined length, it is padded to bring it to the predetermined length and then the operation is performed. In either case, the operation takes an approximately same predetermined amount of time. Unfortunately, as key lengths grow larger, the efficiency of the prior art processor 1 for processing older, shorter keys is reduced. For example, a processor designed to accommodate 256 bit keys will process a forty-bit key that has been padded to 256 bits at approximately ⅙th of the “efficient” time for processing only the forty-bit key. This is a poor allocation of resources. In order to better allocate resources, some processors include a plurality of processor arrays each for processing a different length encryption key as shown in\nReferring now to\nReferring now to\nIt is illustrative to consider a specific example, such as for instance a forty bit encryption operation requiring at least five individual eight bit processor elements to complete. In use, data is provided for encryption by the client station (not shown) via port 3, for example as a stream of individual blocks of data which comprise in aggregate a complete data file. At the beginning of a first processing cycle the first processor element 8 1 in array 6 a receives a first data block from a memory buffer (not shown) of port 3 and performs a predetermined first stage of processing thereon. In the present example the first stage of processing corresponds to an encryption operation using an eight-bit segment of the encryption key. Of course, first processor element 8 1 is time-synchronized with the memory buffer (not shown) of port 3 and with the logic circuit 7 such that the stream of data blocks is gated to first processor element 8 1 in synchronization. At the beginning of a second processing cycle, first processor element 8 1 receives a second data block via port 3. At approximately a same time the first processing element 8 1 provides an output in the form of the first data block along a forward processing-path to second processor element 8 2. Additionally, the first processor element 8 1 provides a first result calculated therein along a return processing-path to the memory buffer of port 3. This assembly line approach to processing data continues until the final result is provided to the memory buffer of port 3 along the return processing-path.\nAdvantageously, the stream of data blocks is gated to first processor element 8 1 in synchronization, as was described previously. At the beginning of each processing cycle the logic circuit 7 decrements the data indicative of the encryption key length by a predetermined amount. In the present example the encryption key length is forty bits, requiring five processor elements to complete the encryption operation, such that the data indicative of the encryption key length is representative of the value five. Then, at the beginning of the first processing cycle the logic circuit 7 decrements by one the value five to indicate that four processing cycles remain. The value is further decremented at the beginning of the second to fifth processing cycles, at which time the logic circuit 7 returns a zero value. If a zero value results, indicating that the end of the encryption data has been reached, then the logic circuit 7 transmits a last bit signal via the last bit signal conductor 9 to every processor element. A processor element having just received the last bit signal along the forward processing path, in this case the fifth processor element, “knows” immediately that it is the last processor element and turns the data around, such that data is other than propagated past said processor element along the forward processing path. Each of the processor elements preceding the last processor element receives data along both the forward processing path and the return processing path at the time that the last bit signal is transmitted, which is indicative of other than last element status.\nOf course, if the value of the logic circuit 7 reaches other than zero during a particular processing cycle, then processing continues normally. For example, during the second processing cycle, first processor element 8 1 performs a same first processing operation on the second data block and second processor element 8 2 performs a second processing operation on the first data block. At the end of the second processing cycle, the first data block is propagated along the forward processing path between the second and the third processor elements 8 2 and 8 3, respectively. Simultaneously, the second data block is propagated along the forward processing path between the first and the second processor elements 8 1 and 8 2, respectively. Additionally, the second processor element 8 2 provides a result calculated therein along the return processing-path to the first processor element 8 1. Of course, simultaneously gating data blocks along the forward processing-path and along the return processing-path between adjacent processor elements typically involves synchronous timing.\nUsing the bi-directional pipeline design shown, the result is efficiently calculated regardless of key length and additional processing cycles are avoided. The use of processors for supporting keys of different lengths within the device supports more than one efficient encryption process at a time—each process having a maximum key size. That said, in a common encryption processing system, statistics are easily used to select processor sizes to provide statistically a best performance for a given resource usage.\nAlternatively, the last-bit signal conductor 9 is in electrical connection with only a subset of the processor elements 8. For example, in serial array 6 a the last-bit signal conductor 9 is optionally connected to every fourth processor element. So with eight bit processor elements, the processor 5 processes encryption data as a series of 32 bit segments. For a processor which supports up to 256 bit encryption processed by 32 bit segments, eight possible processing lengths are supported. Advantageously the number of datapaths for conducting the last bit signal from the logic circuit 7 to the processor elements is reduced from 32 to only eight separate datapaths, greatly facilitating the ease of fabrication of the processor 5. Unfortunately, processing resources are allocated with lower efficiency for encryption key lengths that are other than divisible by 32 bits, for instance the forty-bit encryption key which padded to at least 64 bits prior to processing. Thus, the data is turned around at the eighth processor element, instead of the fifth processor element as was discussed above.\nReferring now to\nReferring now to\nBecause data indicative of a key length is provided to the processor along with the data for processing and the encryption key, the processor can allocate sufficient processing units to the task and thereby efficiently allocate resources. Processor 16 is shown with a logic circuit 7 as was previously disclosed with reference to\nReferring now to\nHere the array 6 b is bidirectional and, because of the implementation of the pipeline process as a bidirectional pipeline process, it is possible to begin using the last element of the array 6 b once it has completed processing for an operation occurring in its other direction. As such, a significant improvement in efficiency results.\nBecause data indicative of a key length is provided to the processor along with the data for processing and the encryption key, the processor can allocate sufficient processing units to the task and thereby efficiently allocate resources. Processor 18 is shown with a logic circuit 7 as was previously disclosed with reference to\nThe pipeline processors 16 and 18 of\nAdvantageously, since it is known when a processor will complete processing, it becomes possible to allocate that processor to processing downstream of another processor. For example, assuming the processor 6 a has processing elements for processing 256 bit encryption operations and begins processing a 256 bit encryption operation. Assume 6 b is a similar processor. If, sometime after processing element 6 a commences processing and before it is completed a processing request for a 512 bit operation arrives, it is possible to begin the operation on processing array 6 b knowing that by the time data has propagated to the last element of processing array 6 a, that element will have completed processing of the processing job in current processing. This improves overall system performance by reducing downtime of a processor while awaiting other processors to be available to support concatenated array processing.\nMontgomery Based Pipeline Processing of Encryption Data\nApplying Montgomery's algorithm, the cost of a modular exponentiation is reduced to a series of additions of very long integers. To avoid carry propagation in multiplication/addition architectures several solutions are known. These use Montgomery's algorithm, in combination with a redundant radix number system or a Residue Number System.\nIn S. E. Eldridge and C. D. Walter. Hardware implementation of Montgomery's modular multiplication algorithm. IEEE Transactions on Computers, 42(6):693-699, July 1993, Montgomery's modular multiplication algorithm is adapted for an efficient hardware implementation. A gain in speed results from a higher clock frequency, due to simpler combinatorial logic. Compared to previous techniques based on Brickell's Algorithm, a speed-up factor of two was reported.\nThe Research Laboratory of Digital Equipment Corp. reported in J. E. Vuillemin, P. Bertin, D. Roncin, M. Shand, H. H. Touati, and P. Boucard. Programmable active memories: Reconfigurable systems come of age. IEEE Transactions on VLSI Systems, 4(1): 56-69, March 1996 and M. Shand and J. Vuillemin. Fast implementations of RSA cryptography. In Proceedings 11th IEEE Symposium on Computer Arithmetic, pages 252-259, 1993, an array of 16 XILINX 3090 FPGAs using several speed-up methods including the Chinese remainder theorem, asynchronous carry completion adder, and a windowing exponentiation method is used to implement modular exponentiation. The implementation computes a 970 bit RSA decryption at a rate of 185 kb/s (5.2 ms per 970 bit decryption) and a 512 bit RSA decryption in excess of 300 kb/s (1.7 ms per 512 bit decryption). A drawback of this solution is that the binary representation of the modulus is hardwired into the logic representation so that the architecture must be reconfigured with every new modulus.\nThe problem of using high radices in Montgomery's modular multiplication algorithm is a more complex determination of a quotient. This behavior renders a pipelined execution of the algorithm other than straightforward. In H. Orup. Simplifying quotient determination in high-radix modular multiplication. In Proceedings 12th Symposium on Computer Arithmetic, pages 193-9, 1995, the algorithm is rewritten to avoid any operation involved in the quotient determination. The necessary pre-computation is performed only once for a given modulus.\nP. A. Wang in the article New VLSI architectures of RSA public key crypto systems. In Proceedings of 1997 IEEE International Symposium on Circuits and Systems, volume 3, pages 2040-3, 1997 proposes a novel VLSI architecture for Montgomery's modular multiplication algorithm. The critical path that determines the clock speed is pipelined. This is done by interleaving each iteration of the algorithm. Compared to previous propositions, an improvement of the time-area product of a factor two was reported.\nJ. Bajard, L. Didier, and P. Kornerup in the article An RNS Montgomery modular multiplication algorithm. IEEE Transactions on Computers, 47(7): 766 -76, July 1998, describe a new approach using a Residue Number System (RNS). The algorithm is implemented with n moduli in the RNS on n reasonably simple processors. The resulting processing time is O(n).\nOf course, most of the references cited above relate to hardware implementations of processors that have little or no flexibility.\nThere have also been a number of proposals for systolic array architectures for modular arithmetic. These vary in terms of complexity and flexibility.\nIn E. F. Brickell. A survey of hardware implementations of RSA. In Advances in Cryptology—CRYPTO '89, pages 368-70.Springer-Verlag, 1990, E. F. Brickell summarizes the chips available in 1990 for performing RSA encryption.\nIn N. Takagi. A radix-4 modular multiplication hardware algorithm efficient for iterative modular multiplication operations. In Proceedings 10th IEEE Symposium on Computer Arithmetic, pages 35-42, 1991, the author proposes a radix-4 hardware algorithm. A redundant number representation is used and the propagation of carries in additions is therefore avoided. A processing speed-up of about six times compared to previous work is reported.\nMore recently an approach has been presented that utilizes pre-computed complements of the modulus and is based on the iterative Horner's rule in J. Yong-Yin and W. P. Burleson. VLSI array algorithms and architectures for RSA modular multiplication. IEEE Transactions on VLSI Systems, 5(2): 211-17, June 1997. Compared to Montgomery's algorithms these approaches use the most significant bits of an intermediate result to decide which multiples of the modulus to subtract. The drawback of these solutions is that they either need a large amount of storage space or many clock cycles to complete a modular multiplication.\nThe most popular algorithm for modular exponentiation is the square & multiply algorithm. Public-key encryption systems are, typically, based on modular exponentiation or repeated point addition. Both operations are in their most basic forms done by the square and multiply algorithm.\nMethod 1.1 takes 2(n−1) operations in the worst case and 1.5(n−1) on average. To compute a squaring and a multiplication in parallel, the following version of the square & multiply method can be used:\nMethod 1.2 takes 2n operations in the worst case and 1.5n on average. A speed-up is achieved by applying the 1-ary method, such as that disclosed in D. E. Knuth, The Art of Computer Programming. Volume 2: Seminumerical Algorithms. Addison-Wesley, Reading, Mass., 2nd edition, 1981, which is a generalization of Method 1.1. The 1-ary method processes 1 exponent bits at a time. The drawback here is that (21−2) multiples of X must be pre-computed and stored. A reduction to 21−1 pre-computations is possible. The resulting complexity is roughly n/l multiplication operations and n squaring operations.\nAs shown above, modular exponentiation is reduced to a series of modular multiplication operations and squaring steps using the Montgomery method. The method for modular multiplication described below was proposed by P. L. Montgomery in P. L. Montgomery. Modular multiplication without trial division. Mathematics of Computation, 44(170): 519-21, April 1985. It is a method for multiplying two integers modulo M, while avoiding division by M. The idea is to transform the integers in m-residues and compute the multiplication with these m-residues. In the end, the representations are transformed back to a normal representation thereof. This approach is only beneficial when a series of multiplication operations in the transform domain are computed (e.g., modular exponentiation).\nTo compute the Montgomery multiplication, a radix R>M, with gcd(M, R)=1 is selected. Division by R is preferably inexpensive, thus an optimal choice is R=2m if\nThe m-residue of x is xR mod M. M′=M−1 mod R is also computed. A function MRED(T) is provided that computes TR−1 mod M: This function computes the normal representation of T, given that T is an m-residue.\nMethod 1.3 MRED(T): Computes a Montgomery Reduction of T\nThe result of MRED(T) is t=TR−1 mod M.\nNow to multiply two integers a and b in the transform domain, where their respective representations are (aR mod M) and (bR mod M), a product of the two representations is provided to MRED(T):\nMRED((aR mod M)·(bR mod M))=abR 2 R −1 =abR mod M\nFor a modular exponentiation this step is repeated numerous times according to Method 1.1 or 1.2 to get the final result ZR mod M or PnR mod M. One of these values is provided to MRED(T) to get the result Z mod M or Pn mod M.\nThe initial transform step still requires costly modular reductions. To avoid the division involved, compute R2 mod M using division. This step needs to be done only once for a given cryptosystem. To get a and b in the transform domain MRED(a·R2 mod M) and MRED(b·R2 modM) are executed to get aR mod M and bR mod M. Obviously, any variable can be transformed in this manner.\nFor a hardware implementation of Method 1.3: an m×m-bit multiplication and a 2m-bit addition is used to compute step 2. The intermediate result can have as many as 2m bits. Instead of computing U at once, one digit of an r-radix representation is computed at a time. Choosing a radix r, such that gcd(M, r)=1 is preferred. Division by r is also preferably inexpensive, thus an optimal choice is r=2k. All variables are now represented in a basis-r representation. Another improvement is to include the multiplication A×B in the algorithm.\nMethod 1.4 Montgomery Modular Multiplication for Computing A·B mod M, Where\nThe result of applying the method 1.4 is Sm=ABR−1 mod M. At most two k×k-bit multiplication operations and a k-bit addition is required to compute step 3 for a radix 2k. For step 4 two k×m-bit multiplication operations and two m+k-bit additions are needed. The maximal bit length of S is reduced to m+k+2 bits, compared to the 2m bits of Method 1.3.\nMethod 1.5 is a simplification of Method 1.4 for radix r=2. For the radix r=2, the operations in step 3 of Method 1.4 are done modulo 2. The modulus M is odd due to the condition gcd(M, 2k)=1. It follows immediately that M=1 mod 2. Hence M′=−M−1 mod 2 also degenerates to M′=1. Thus the multiplication by M′ mod 2 in step 3 is optionally omitted.\nMethod 1.5 Montgomery Modular Multiplication (Radix r=2) for Computing\nMontgomery Modular Multiplication for computing A·B mod M, where\nThe final comparison and subtraction in step 6 of Method 1.5 would be costly to implement, as an m bit comparison is very slow and expensive in terms of resource usage. It would also make a pipelined execution of the algorithm impossible. It can easily be verified that Si+1<2M always holds if A, B1, reduces the number of steps in Method 1.6 by a factor k. The computation of Method 1.8 is executed m+3 times (i=0 to m+2)\nA speed efficient design is readily divided hierarchically into three levels.\nProcessing Element Computes 4 bits of a modular multiplication.\nModular Multiplication An array of processing elements computes a modular multiplication.\nModular Exponentiation Combines modular multiplication operations to a modular exponentiation according to Method 12.\nThe following elements are provided:\nThe operation of the units is evident from the thesis of T. Blum, referenced above, and from a review of the diagrams.\nThis measure allows us to choose a 100% utilized m×4-bit DP RAM instead of an only 50% utilized 2m×4-bit DP RAM. DP RAM P works almost the same way. It has an additional input ei, that activates the write-enable signal of the DP RAM in the case of ei=“1.”\nSince the above pipeline processor architectures embody many pipelined processing elements, it is often difficult and costly to synchronise each element to the clock source within a same integrated circuit. Therefore, the present invention is highly advantageous in reducing overall resource requirements by reducing clock distribution problems. Also, since in one direction addition is required while in the other direction multiplication is required, it is evident that more time is necessary along one path than the other and, so, time-averaging of the paths is possible in accordance with an embodiment of the invention.\nNumerous other embodiments may be envisaged without departing from the spirit or scope of the invention.\n|Cited Patent||Filing date||Publication date||Applicant||Title|\n|US4797848||Apr 18, 1986||Jan 10, 1989||Hughes Aircraft Company||Pipelined bit-serial Galois Field multiplier|\n|US4839801 *||Nov 3, 1986||Jun 13, 1989||Saxpy Computer Corporation||Architecture for block processing computer system|\n|US4916652 *||Sep 30, 1987||Apr 10, 1990||International Business Machines Corporation||Dynamic multiple instruction stream multiple data multiple pipeline apparatus for floating-point single instruction stream single data architectures|\n|US5001661||Jan 23, 1990||Mar 19, 1991||Motorola, Inc.||Data processor with combined adaptive LMS and general multiplication functions|\n|US5101431||Dec 14, 1990||Mar 31, 1992||Bell Communications Research, Inc.||Systolic array for modular multiplication|\n|US5210710||Oct 17, 1990||May 11, 1993||Cylink Corporation||Modulo arithmetic processor chip|\n|US5313530||Mar 4, 1992||May 17, 1994||Canon Kabushiki Kaisha||Calculating apparatus and method of encrypting/decrypting communication data by using the same|\n|US5321752||Sep 4, 1992||Jun 14, 1994||Canon Kabushiki Kaisha||Method of and apparatus for encryption and decryption of communication data|\n|US5398284||Nov 5, 1993||Mar 14, 1995||United Technologies Automotive, Inc.||Cryptographic encoding process|\n|US5414651||Oct 21, 1993||May 9, 1995||U.S. Philips Corporation||Arithmetic unit for multiplying long integers modulo M and R.S.A. converter provided with such multiplication device|\n|US5499299||Jun 30, 1994||Mar 12, 1996||Fujitsu Limited||Modular arithmetic operation system|\n|US5513133||Nov 18, 1993||Apr 30, 1996||Fortress U&T Ltd.||Compact microelectronic device for performing modular multiplication and exponentiation over large numbers|\n|US5600720||Jul 19, 1994||Feb 4, 1997||Canon Kabushiki Kaisha||Encryption apparatus, communication system using the same and method therefor|\n|US5623683||Dec 30, 1992||Apr 22, 1997||Intel Corporation||Two stage binary multiplier|\n|US5666419||Nov 29, 1994||Sep 9, 1997||Canon Kabushiki Kaisha||Encryption device and communication apparatus using same|\n|US5724280||Aug 31, 1995||Mar 3, 1998||National Semiconductor Corporation||Accelerated booth multiplier using interleaved operand loading|\n|US5742530||Dec 28, 1995||Apr 21, 1998||Fortress U&T Ltd.||Compact microelectronic device for performing modular multiplication and exponentiation over large numbers|\n|US5805914 *||Jun 7, 1995||Sep 8, 1998||Discovision Associates||Data pipeline system and data encoding method|\n|US5848159||Jan 16, 1997||Dec 8, 1998||Tandem Computers, Incorporated||Public key cryptographic apparatus and method|\n|US5867412||Nov 13, 1997||Feb 2, 1999||Electronics And Telecommunications Research Institute||Modular multiplication device for information security|\n|US5923871||Oct 18, 1996||Jul 13, 1999||Elbrus International||Multifunctional execution unit having independently operable adder and multiplier|\n|US5982900||Apr 4, 1997||Nov 9, 1999||Oki Electric Industry Co., Ltd.||Circuit and system for modulo exponentiation arithmetic and arithmetic method of performing modulo exponentiation arithmetic|\n|US5987489||Feb 26, 1997||Nov 16, 1999||Sgs-Thomson Microelectronics S.A.||Modular arithmetic coprocessor enabling the performance of non-modular operations at high speed|\n|US6026421||Nov 26, 1997||Feb 15, 2000||Atmel Corporation||Apparatus for multiprecision integer arithmetic|\n|US6061706||Oct 10, 1997||May 9, 2000||United Microelectronics Corp.||Systolic linear-array modular multiplier with pipeline processing elements|\n|US6088453||Jan 26, 1998||Jul 11, 2000||Kabushiki Kaisha Toshiba||Scheme for computing Montgomery division and Montgomery inverse realizing fast implementation|\n|US6088800||Feb 27, 1998||Jul 11, 2000||Mosaid Technologies, Incorporated||Encryption processor with shared memory interconnect|\n|US6144743||Feb 6, 1998||Nov 7, 2000||Kabushiki Kaisha Toshiba||Information recording medium, recording apparatus, information transmission system, and decryption apparatus|\n|US6151393||May 27, 1998||Nov 21, 2000||Samsung Electronics Co., Ltd.||Device and method for modular multiplication|\n|US20030039355 *||May 9, 2002||Feb 27, 2003||Mccanny John Vincent||Computer useable product for generating data encryption/decryption apparatus|\n|US20030198345 *||Apr 15, 2002||Oct 23, 2003||Van Buer Darrel J.||Method and apparatus for high speed implementation of data encryption and decryption utilizing, e.g. Rijndael or its subset AES, or other encryption/decryption algorithms having similar key expansion data flow|\n|WO2002052777A2||Dec 21, 2001||Jul 4, 2002||Mosaid Technologies Incorporated||Packet encrypton system and method|\n|1||\"Modular Exponentiation on Reconfigurable Hardware,\" by Thomas Blum (Thesis) Worcester Polytechnic Institute pp. 1-107 (1999).|\n|2||Schubert, A., et al., \"Reusable Cryptographic VLSI Core Based on the Safer K-128 Algorithm with 251.8 Mbit/s Throughput,\" Signal Processing Systems, 1998, SIPS '98, 1998 IEEE Workshop on Cambridge, MA, USA Oct. 8-10, 1998, New York, New York, USA, IEEE, US, pp. 437-446, Germany XP010303746 ISBN: 0-7803-4997-0.|\n|Citing Patent||Filing date||Publication date||Applicant||Title|\n|US7912886 *||Dec 14, 2006||Mar 22, 2011||Intel Corporation||Configurable exponent FIFO|\n|US8301905 *||Sep 8, 2006||Oct 30, 2012||Inside Secure||System and method for encrypting data|\n|US20080062803 *||Sep 8, 2006||Mar 13, 2008||Daniele Fronte||System and method for encrypting data|\n|US20080147768 *||Dec 14, 2006||Jun 19, 2008||Intel Corporation||Configurable Exponent Fifo|\n|CN103780381A *||Dec 17, 2012||May 7, 2014||深圳市证通电子股份有限公司||Realization device and method for Montgomery algorithmic based on high level systolic array|\n|International Classification||G06F12/14, G06F11/30, G06F7/72, H04L9/32, H04L9/00, H04K1/00|\n|Aug 26, 2002||AS||Assignment|\nOwner name: CHRYSALIS-ITS, INC., CANADA\nFree format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNOR:ZAABAB, HAFID;REEL/FRAME:013230/0204\nEffective date: 20011220\nOwner name: MOSAID TECHNOLOGIES, INC., CANADA\nFree format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNOR:CHRYSALIS-ITS, INC.;REEL/FRAME:013228/0744\nEffective date: 20011221\n|Apr 15, 2009||AS||Assignment|\nOwner name: MOSAID TECHNOLOGIES INCORPORATED, CANADA\nFree format text: CHANGE OF ADDRESS OF ASSIGNEE;ASSIGNOR:MOSAID TECHNOLOGIES INCORPORATED;REEL/FRAME:022542/0876\nEffective date: 20090209\nOwner name: MOSAID TECHNOLOGIES INCORPORATED,CANADA\nFree format text: CHANGE OF ADDRESS OF ASSIGNEE;ASSIGNOR:MOSAID TECHNOLOGIES INCORPORATED;REEL/FRAME:022542/0876\nEffective date: 20090209\n|Sep 20, 2011||AS||Assignment|\nOwner name: GOOGLE INC., CALIFORNIA\nFree format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNOR:MOSAID TECHNOLOGIES INC.;REEL/FRAME:026933/0942\nEffective date: 20110909\n|Apr 27, 2012||FPAY||Fee payment|\nYear of fee payment: 4\n|May 11, 2016||FPAY||Fee payment|\nYear of fee payment: 8", "label": "Yes"} {"text": "By Shakuntala Devi\nRead Online or Download Figuring Made Easy PDF\nBest arts books\nAn leading edge method of origami craft, polyhedron origami. introduces you right into a new international of many-sided good figures. This ebook is a finished choice of polyhedron origami from tetrahedron to icosahedron. every one reliable item is shaped from uncomplicated folded devices. every one procedure is illustrated with transparent step by step diagrams for newbies.\nThose extraordinary afghans will motivate you to select up your hook and begin right now! choose between forty initiatives, together with a one-piece throw, a mile-a-minute wrap, and join-as-you-go squares, every one designed by means of a reader of Crochet With center journal.\nOtl Aicher ist einer der herausragenden Vertreter des Modernen Designs. used to be er seit den fünfziger Jahren, seit seiner Zeit in der von ihm mitbegründeten, inzwischen legendären Ulmer Hochschule für Gestaltung, etwa auf dem Gebiet des company layout geschaffen hat - erinnert sei hier nur an die Erscheinungsbilder für die Firma Braun, die Lufthansa, das Zweite Deutsche Fernsehen und die Firma ERCO -, gehört zu den ganz großen Leistungen der visuellen Kultur unserer Zeit.\n- Zwanzig Jahre Fortschritte in Explosivstoffen: Vier Vorträge gehalten in der Royal Society of Arts in London November/Dezember 1908\n- The Complete H. P. Lovecraft Filmography (Bibliographies and Indexes in the Performing Arts)\nExtra resources for Figuring Made Easy\nFor example, to check that 8216 X 4215 = 34630440: 8 + 2 + 1 + 6 = ^ = 1 1 , casting out the nines, leaves 8 as the check number. 4 + 2 + 1 + 5 = 12, casting out the nines, leaves 3 as the check number. 3 + 4 + 6 + 3 + 0 + 4 + 4 + 0 = 24, casting out the nines, leaves 6 as the check number. 3 x 8 = 24, 2 + 4 = 6 which was the check number of the original product. Therefore, the multiplication is correct. However, I must mention here that this system of casting out the nines is not infallible, but if the answer you have obtained checks out as correct when you have used it, the chances of your being wrong are very slim.\n60 x 100 = 18760 1 ^ 0 = 4690 4 4690 X 3 = 14070 To multiply by 9, just remember that 9 is one less than 10, so all that is necessary is to add a zero and then subtract the original multiplicand. Take 9 X 84 10 X 84 = 840 840 - 84 = 756 This can be extended, if asked to multiply by 18. All that is necessary is to multiply by 9 and double the product. For example, 448 X 18 448 x 10 = 4480 4480 - 448 = 4032 4032 X 2 = 8064 Alternatively, you can start from the fact that 18 is 20 less 2, in which case the sequence is: 448 x 2 = 896 896 x 10 = 8960 8960 - 896 = 8064 This method can be used for all numbers which are multi pies of 9.\nFor example: 165 divided b,- 5 = 'V;. Jc by 15. vidend by 2 and divide by l - ' .", "label": "Yes"} {"text": "Or search by topic\nA composite number is one that is neither prime nor 1.\nShow that 10201 is composite in any base.\nLikewise show that 10101 is composite in any base.\nFurther Reading: Learn About Number Bases by Toni Beardon\nStart with any number of counters in any number of piles. 2 players take it in turns to remove any number of counters from a single pile. The loser is the player who takes the last counter.\nFind b where 3723(base 10) = 123(base b).\nA collection of games on the NIM theme", "label": "Yes"} {"text": "This greater than less than activity for Halloween is the perfect addition to any math center! Graphing, data analysis, and comparing numbers - so many math skills in one fun activity!\nGeoboards are an excellent way to practice spatial awareness, fine motor skills and geometry with 2D shapes too! These task cards are great visuals for students to replicate fun themed objects.\nINCLUDED IN THE GREATER THAN LESS THAN ACTIVITIES:\nUse Astro-brights to match any theme!\nThese task cards are designed to be used with 5x5 peg geoboards and rubber bands. (not included)\nStudents will count the number of rubber bands used for the task card.\nThen, record the number on the task card and fill out the graph to match. (There are several options for graphing depending on the level of learner.)\nOnce all of the task cards and graph are completed, the student will use the data from the graph to answer the questions and compare numbers by using greater than, less than, and equal signs on the graph or response sheet. (2 levels of difficulty - 1 transfer the numbers from the graph and 1 without)\nExtra time or early finishers: Students can draw and describe the creation they made on one sheet or Create your own creation!\nThese are perfect to use as a group, in a center, independent activity, morning work, or for early finishers!\n*Please leave Feedback if you like this pack!\n*Click the green star above to FOLLOW me.\n*Check out my store for more great new products!\nThis resource is also great for substitutes, student teachers, classroom helpers, or homeschool!", "label": "Yes"} {"text": "Our theme this half term is Ancient Greece. In science we have been learning about changing materials. In maths we have been learning about decimals, fractions and units of measure.\nIn order to show off our learning, we thought why not bake some Pitta bread! As doing so will combine all of our learning into one learning project. Here are some images of the children planning their baking experiments.\nKeep posted for more updates!", "label": "Yes"} {"text": "...My undergraduate degree is in mathematics, and I have worked as a computer professional, as well as a math tutor. My doctoral degree is in psychology. I think this is a wonderful combination: I can relate to students, understand their frustrations and fears, and at the same time I deeply unders...\nNovato, CAView Tutor\n...Tutoring students gives me the satisfaction of watching students blossom while earning a bit of cash to keep my kid in Legos.I am a Ph.D. chemist who has taught at the university and high school level. It is my experience that problems with study skill generally result from lack of routine, fail...\nSanta Rosa, CAView Tutor\n...I also have been a certified classroom teacher in math in the Berkeley, Oakland, and San Ramon School Districts. I have been a USMaster's Club swimmer for over 20 years. I have been coached and gone to numerous swimming workshops in all strokes during that time.\nBerkeley, CAView Tutor\n...I would like to teach students how to think and how to be engaged in a fun mathematics world. My goal is to build a firm foundation for students' future learning. I am a native Mandarin Speaker.\nSan Rafael, CAView Tutor\n...I have a masters in Mathematics. I have done Differential Equations for my M.S. I have very deep and excellent knowledge in this subject.\nDublin, CAView Tutor", "label": "Yes"} {"text": "Math 132 Section 6.1 Areas Between Curves\nFinding the Area Between Curves:\nEx 1: Find the area between the two curves in the graph below:\nEx 2: Find the area between = 2 6 and = 12 2 .\nEx 3: Find the area between = cos() and = 1 cos\nMath 132 Section 7.4 Integration by Partial Fractions\nTo integrate rational functions, we can break the function into a sum of simpler fractions that we\nRational Function: ( ) = ()\nTo use the method of partial fractions, the rational f\nMath 132 Section 7.1 Integration by Parts\nIntegration by Parts\nWhen integrating two functions multiplied together, and there is no relationship\nbetween the two functions, we use the method of integration by parts.\nIntegration by Parts:\nMath 132 Section 5.3 The Fundamental Theorem of Calculus\nThe Fundamental Theorem of Calculus has two parts. Suppose f is a continuous\nfunction on the closed interval [a,b].\nIf () = () then () = ()\n() = () (), where F(x) = f(x)\nPart II: () =\nMath 132 Section 6.2 Volumes\nVolume = ( ) or ()\nEx 1: Find the volume of the solid obtained by rotating the region\n= from = 0 to = 1 about the x-axis.\nEx 2: Find the volume of the solid obtained by rotating the region\n= 1 2\nMath 132 Section 7.2 Trigonometric Integration\nWhen integrating trigonometric functions involving sine and cosine, look for the following:\nFactor out one power\ncos 2 () = 1 sin2()\nSections 5.3-5.5, 6.1-6.2, 7.1-7.3\nOctober 10 & 11 reviews 7-9pm\nMidterm #1 Wednesday, October 12th, 7-9pm in Goessman Room 64\nOld MT #1 posted on the course chairs blog (no solutions)\nsin (x)=cos( x)\nSection 7.4 - Integration of Rational\nFunctions By Partial Fractions\nNote: for any k, you should be able\nto write down the partial fraction\ndecomposition. For small k you\nshould be able to solve for\nLong Division of\n1. (ln x)2 dx\nx sin3 x dx\nx3 1 x2 dx\nR ln y\nsin5 x cos4 x dx\n2x + 3x + 1\ncot2 x dx\nsin x + sec x\ntan5 x dx\nR sin x cot x\nTrigonometric Identities and Integrals\nErica M. Farelli\nMath 132 - University of Massachusetts\nsec x =\ncsc x =\ntan x =\nsin2 x + cos2 x = 1\ncot x =\n1 + cot2 x = csc2 x\ncos 2x = cos2 x sin\nMutiple Choice Section: Choose the one option that best\nanswers the question. There is \"no partial credit for questions\n1. [5 points] Which of the following integrals calculates the\narea of the shaded region?\nre) y (x3\nr at ' - 1-.-\nThe velocity function (in meters per second) for a particle moving along a line is given by\n(a) Find the displacement (in meters) of the particle.\nDisplacement = meters\n(b) Find the total distance traveled (in meters) by the particle.\nMATH132 Spring 2017 Worksheet: Fundamental Theorem of Calculus\n1) Graph the two curves\ny = 3/2x 1/2\ny = 3/4x2 11/4.\nSet up the definite integral to find the area enclosed by these two curves\n2) Find the derivative of the following functions\n1 + 7t2 si\nMath 132 Section 11.3 Integral Tests\nSuppose is a continuous, positive, and decreasing function on [1, ) and let = ().\nExamples: Do the following series converge or diverge?\nEx 1: 1 + 8 + 27 + 64 + 125 +\nTrigonometric Identities and Integrals for Chapter 7\ncsc x =\nsec x =\ntan x =\ncot x =\nsin2 x + cos2 x = 1\ncot x =\ntan2 x + 1 = sec2 x\nsin x cos x = 21 sin 2x\nsin2 x = 12 (1 cos 2x)\nLecture 17: Power series.\nA power series about a, or just a power series is\ncn (x a)n ,\na is called the center, cn s are called the coefficients of the power series. By convention:\n(x a)0 = 1,\neven when x = a.\nTwo new concepts:\n1. Radius of converge\nLecture 10: Improper Integrals\nImproper Integral of Type I: When interval is infinite.\nf (x)dx = limt\n2. f (x)dx = limt t f (x)dx.\n3. f (x)dx = f (x)dx + c f (x)dx, for any number c, c can be chosen to be 0\nLecture 13: Integral test and Comparison test\nTHE INTEGRAL TEST: Suppose\nP f is a continuous, positive, decreasing on [1, ) and\nlet an = f (n). Then the series n=1 an is convergent if and only if the improper integral is\nR In ot\nLecture 11: Sequences\nDefinition and notation for sequences.\nA sequence is a list of numbers written in certain order: a1 , a2 , a3 , , an , , where a1 is\ncalled the first term, an is called the n-th term or general term of the sequence.\nThere are two way\nLecture 12: Series\nDefinition and notation for series.\nGiven a sequence cfw_an , the associated series is created by taking the summation of all\nelements in the sequence.\nFormally, the sequence is denoted by\nn=1 an .\nTo give a precise definition, first\nLecture 18: Representing functions as power series.\nAt this point, we only know the following power series representation:\n= 1 + x + x2 + x3 +\nxn , for |x| < 1.\nWe now look at three techniques allow us to obtain a series representation using\nLecture 9: Integration by partial fractions\nIn this section we are going to take a look at integrals of rational functions\nboth P (x) and Q(x) are polynomials.\nThe process of taking a rational expression and deco\nLecture 8: Trigonometric Substitution\nMake a substitution x = a sin(), then dx = a cos()d and\na2 x2 = a cos().\n1. Evaluate the integral\nLet x = 5 sin(), then\n25 sin2 ()\nMath 132 Section 11.1 Sequences\nSequence: a list of numbers written in a definite order.\n1 , 2 , 3 , , ,\nExamples: Write out the first five terms of the following sequences.\nEx 1: cfw_+1\nEx 2: cfw_\nMath 132 Section 11.2 Series\nAny decimal can be written as a series.\nWrite = 3.14159265 as a series.\nSome series converge and others diverge.\n1 = + + 2 + 3 +\nEx 1: Does th\nSequences and Series Convergence Tests\nA sequence is increasing if an < an+1 for all n 1.\nA seqeunce is decreasing if an+1 < an for all n 1.\nA sequence is called monotonic if it is either increasing of decreasing.\nA sequence is boun\nMath 132 Section 11.4 The Comparison Tests\nSuppose and are series with positive terms.\n1.) If is convergent and for all , then is also convergent.\n2.) If is divergent and for all , then is also divergent.\nEx 1: Does the series converge or", "label": "Yes"} {"text": "My kids LOVE\nthese puzzles. They are challenged to figure out a number pattern, then use it to solve the puzzle to find a word that's math vocabulary. Solve the puzzle correctly and the word is spelled correctly.\nPrint in black and white or color. Print two puzzles on a page OR project puzzles saved one to each page.\n: A blank sheet with a new alien can be used by an interested student to create a new puzzle to share with classmates. Give students a certificate congratulating them when they successfully create puzzles.\nThanks for visiting my Simply Math store. Please take a moment to leave a comment when you purchase a product.\n– • – ♥ – • –\nFind amazing and creative resources for teaching science in our Simply Science store.\n– • – ♥ – ♥ – ♥ – • –\nClick on the ★ next to our store to follow me and find out about new products.\n– • – • – ♥ – ♥ – ♥ – • – • –\nVisit my blog to find resources for new teachers and \"I'd like to teach more science\" teachers!\nThe alien illustrations on the cover of my product were created by: Educational Graphics Group", "label": "Yes"} {"text": "What is the maximum number of edges in a graph on n vertices without triangles? Mantel’s answer in 1907—that at most half of the edges can be present—started a new field: extremal combinatorics. More generally, what is the maximum number of edges in an n-vertex graph that does not contain any subgraph isomorphic to H? What about if you consider hypergraphs instead of graphs? I will introduce the technique of sums of squares and discuss how it can be used to attack such problems.", "label": "Yes"} {"text": "62-Bit-Wide Arithmetic and Logic Unit Combining the CARRY LOOK AHEAD and CARRY SELECT ADDER Principles\nOriginal Publication Date: 1988-Jun-01\nIncluded in the Prior Art Database: 2005-Feb-15\nThe speed of an arithmetic and logic unit (ALU) depends on the number of bits it has to handle. In a classic embodiment, the least significant bits are always available before the most significant bits. To get around this disadvantage, an improved ALU has to be designed so that the most significant bits are accelerated. Half-sum generates and propagates are formed for each pair of bits (left and right operands). Then the ALU is divided in three groups of sixteen bits, themselves being divided in four groups of 4 bits and a group of fourteen bits itself divided in two groups of four bits and a group of six bits. From the four- and six-bit groups are formed the first level generate and propagate groups (GG1 and GP1).", "label": "Yes"} {"text": "Laura Harich from Hewlett-Packard shows kids how math can be fun on the HP Prime Graphing Calculator from HP\n(Pompano Beach, FL – PR LOG/CISION –September 3, 2013) Popular Home improvement show Designing Spaces™ airing on Lifetime TV will feature HP on the “Kids Spaces of Hope: All About Kids” episode. Tune in on Wednesday, September 4th at 7:30 am (ET/PT), as Lara Harich, Marketing Manager for the Calculator Division at HP, joins the show to demonstrate the new Prime Graphing Calculator. This show will re-air Thursday, October 10th.\nDuring the segment Harich will meet with a group of students to practice some exercises on HP’s new touch-screen graphing calculator, and talk about how math, the cornerstone of many STEM-based careers, doesn’t have to be intimidating with the right tools.\nThe HP Prime Graphing calculator has an intuitive, app-based interface and color touch-screen, which makes it more familiar and appealing to today’s tech savvy students. For early high school mathematics courses like Geometry and Algebra II, HP has built-in apps that make it easy for students to visualize and explore course concepts, such as the Dynamic Geometry, Triangle Solver and Advanced Graphing apps.\n“We’re thrilled that HP, a worldwide name in technology, has come on Designing Spaces to show us that with the HP prime graphing calculator, math can easier and more fun,” said Lysa Liemer, Executive VP and Chief Operating Officer of Designing Spaces™ on Lifetime TV.\nTo learn more about the HP Prime Graphing Calculator, please visit: www.hp.com/calculators.\nAbout Designing Spaces™ on Lifetime® Television\nEntering its 10th year, Designing Spaces continues to be one of America’s favorite home improvement shows. The show inspires viewers on decorating ideas, do-it-yourself projects and step-by-step home improvements to help make every space count and provide solutions to help you enjoy the space you live, work and play in. Designing Spaces family of spaces includes Think Green Spaces, Kids Spaces and its widely popular Spaces of Hope which prides itself on assisting people and places in dire need of a makeover including children’s shelters, animal shelters, military families and more. Designing Spaces airs Thursdays and Fridays at 7:30 a.m. (ET/PT) on the Lifetime® channel.\nTo view special segments visit: www.designingspaces.tv\nJoin the Conversation!\nO2 Media, Inc.", "label": "Yes"} {"text": "Calculator used with kind permission of DoctorProAudio.com\nFill out a gray box above and click the respective 'calculate' bar under it. p-p = peak to peak.\nThe reference voltage for 0 dBu is 0.775 volt (0.77459667 V) and for 0 dBV it is exactly 1.0 volt.\nScroll down to find the formulas for voltage and power and the calculation of the absolute level.\nThe origin of the index of dBu comes from \"u = unloaded\" and dBV comes from \"V = 1 volt\". Some say:\nThe \"u\" in dBu implies that the load impedance is unspecified, unterminated, and is likely to be high.\nWhat is dBu? A logarithmic voltage ratio with a reference voltage of V0 = 0.7746 volt ≡ 0 dBu\nWhat is dBV? A logarithmic voltage ratio with a reference voltage of V0 = 1.0000 volt ≡ 0 dBV\nThe home recording level (consumer audio) of −10 dBV means 0.3162 volts, that is −7.78 dBu.\nThe studio recording level (pro audio) of +4 dBu means a voltage of 1.228 volts.\nThe maximum undistorted level of audio amplifiers is +18 dBu. In USA it is +24 dBu.\nDomestic gear with a −10 dBV level is usually unbalanced. Studio gear with a +4 dBu level is always balanced. 0 VU = +4 dBu.\nScale: Level in dBu and dBV in comparison to the voltage in V\n|Studio level international||+4 ●||1.228||+1.78|\n|Standard level 1 Volt||+2.22||1||0 ref.|\n|Standard level 0.775 Volt||0 ref.||0.775||−2.22|\n|Domestic level||−7.78||0.316||−10 ●|\n|The level difference between +4 dBu studio level\nand −10 dBV consumer level is Δ L = 11.78 dB (12 dB).\nThe level difference between dBu level and dBV level is Δ L = 2.2 dB.\n0 dBV equals 2.2 dBu or 0 dBu equals −2.2 dBV.\nThe conversion from level L(dBu) to voltage (volt) is V = 0.775 × 10(L/20).\nThe conversion from voltage V (volt) to level (dBu) is L = 20 × log (V/0.775).\n|All field quantities, like voltage or sound pressure are\nalways true RMS values, if not otherwise stated.\nIn mathematics, the root mean square (abbreviated RMS\nor rms), also known as the quadratic mean, is a statistical\nmeasure of the magnitude of a varying quantity.\n|For sinusodial voltages or currents with ohm's loads\ncalculations can made easier with RMS = amplitude / √2\nNote - Comparing dBSPL and dBA: There is no conversion formula for\nmeasured dBA values to sound pressure level dBSPL or vice versa.\nAlso you cannot convert \"dBA to volts\" and vice versa.\nConversion is only possible for measuring one single frequency.\nPro audio equipment often lists an A-weighted noise spec – not\nbecause it correlates well with our hearing – but because it can\n\"hide\" nasty hum components that make for bad noise specs.\nWords to bright minds: Always wonder what a manufacturer\nis hiding when they use A-weighting. *)\n|We don't use the dBm in audio engineering. That belongs to power, we don't need here.\nIf you really need dBm with \"m = 1 milliwatt or one thousandth (10−3) of a watt\", go to:\nThe dBm calculator and power matching or impedance matching\nExplanation: What is \"dBFS\"? (Digital Audio)\ndBFS - Digital recording level\nAnalog levels and digital levels are different realms.\n♦ An often posted question: \"Please, can you help me convert from dBFS to dBu\".\nNever express analog signal levels in terms of dBFS.\nFollow this and you will not confuse anyone.\nNotice - Comparing dBu and dBFS: There is really no fixed\nworld standard like e.g. −20 dBFS = +4 dBu = 0dBVU.\nThe digital peak scale is not equivalent to the analog RMS scale.\ndBu is volts - you measure it with a volt meter.\nAnalog audio: positive and negative voltage.\ndBFS is in contrast a binary number.\nDigital audio: zeroes and ones.\nThere is no such thing as peak volts dBu *)\nIt is incorrect to state peak voltage levels in dBu.\ndBFS must have a minus sign at the beginning. There is not something like +6 dBFS.\nThere is no such standardized reference. x dBFS is a digital voltage level\n(peak) and y dBVU or dBu is an analog voltage level (RMS).\nDigital and analogue are two totally different realms.\nThat's why there is no relation between dBFS and dBVU or dBu, whatsoever.\nAnalog meter (ppm): attack time 10 to 300 ms − reading rms values.\nDigital meter: attack time < 1 ms − reading peak values. That is really some\nAdvice: Watch only your digital meters and go up to 0 dBFS, but never go\nover this mark. We use \"headroom\" in the analog domain. That is OK, but\nwe don't need digital \"headroom\" as an always \"unused\" forbidden\nYou are free to choose your private headroom, if you like that, but there is no\nstandard that you have to do that.\nThe demand for a high modulation level, stand in the contrary to the claim,\nto avoid overloading.\nNever take the following funny guessing game for granted. Use it only as a rough guide:\nEuropean & UK calibration for Post & Film is −18 dBFS = 0 VU = +4 dBu\nBBC spec: −18 dBFS = PPM \"4\" = 0 dBu\nAmerican Post: −20 dBFS = 0 VU = +4 dBu\nOrchestral −18 dBFS = 0 VU = +4 dBu\nRock and / or Radio −16, or −14, or −12 dBFS = 0 VU = +4 dBu\nDigi 002 is only capable of −14 dBFS.\nGerman ARD & studio PPM +6 dBu = −10 (−9) dBFS. +16 (+15) dBu = 0 dBFS. No VU.\n• EBU R68-2000 - The European Broadcasting Union recommends: digital level\n−9 dBFs (maximum). You have to keep the upper 9 dBs empty without any use.\nThe reference level is −18 dBFs. 0 dBFs is equal to +15 dBu.\nNotice: 0 dBFS is the permitted maximum digital level.\nThe EBU broadcasters have a problem, because they want to use the old slow meters with the\ndBu scale (attack 10 ms, quasi-peak) of the analog times for digital recordings.\nThe rest of the world looks always at the fast digital meters (attack < 1 ms, peak) with the dBFS\nscale. Forget looking at the dBu scale of the meters.\nIt seems to come a change from QPPM-modulation to loudness (ITU/EBU) and true-peak.\nLook at: EBU R 128.\n|Note: The guidelines of the EBU to set the maximum gain\nto −9 dB dBFS should not apply if not working for the\nEuropean Broadcasting Union. Whose maximum levels\nof digital CD masters are −9dBFS, should not be\nsurprised if the CDs are not loud enough.\n9 dB up to the top are left free with really no use.\n| More readable papers of the topic \"Loudness and Level\":\n10 things you need to know about ... EBU R 128 - the EBU loudness recommendation\nFlorian Camerer: Loudness On the way to nirvana - audio levelling with EBU R 128\n|LUFS = Loudness Units relative to Full Scale|\nThe formulas for voltage and power\nand the calculation of the absolute level\n|To use the calculator, simply enter a value.\nThe calculator works in both directions of the ↔ sign.\ndBm indicates that the reference power is P0 = 1 milliwatt = 0.001 watt ≡ 0 dB\nConversion of voltage or power ratios to decibels dB - table and chart\nTable of Sound Pressure Levels and Corresponding Sound Pressure and Sound Intensity\nRMS voltage, peak voltage and peak-to-peak voltage\nThe parameters of the mains or \"power\" sine wave form are summarized at the table below:\n|Average voltage||RMS voltage (VRMS)||Peak voltage (Vp) = (Û)||Peak-to-peak voltage (Vpp)|\n|0 volts||117 volts = VRMS = ~V||165 volts = √2×VRMS = 0,5 × Vpp||330 volts = 2×√2×VRMS = 2 × Vp|\n|0 volts||230 volts = VRMS = ~V||325 volts = √2×VRMS = 0,5 × Vpp||650 volts = 2×√2×VRMS = 2 × Vp|\n|The value VRMS of an alternating voltage V (t) = V0 × f(t)is defined so that the\neffective DC power corresponds VRMS2 / R = VRMS × IRMS to an ohmic resistance\nof the middle resistive power of this AC voltage to the same resistance.\nThe crest factor means the ratio of the peak voltage to the RMS voltage.\nIf you need to calculate an attenuator (attenuation calculation) you calculate a voltage divider.\n|Voltage||VRMS = ~V||Vp||Vpp|\n|Average voltage RMS VRMS =||−||0.7071 × Vp||0.3535 × Vpp|\n|Peak voltage Vp =||1.414 × VRMS||−||0.5000 × Vpp|\n|Peak-to-peak voltage Vpp =||2.828 × VRMS||2.000 × Vp||−|\nDifferent voltage levels\n|Level||Level L in dB||Voltage RMS||Voltage peak-to-peak|\n|European studio level - ARD broadcast level||+6 dBu||1.55 V||4.38 V|\n|International studio level - USA||+4 dBu||1.228 V||3.47 V|\n|Domestic recording (Consumer units)||−10 dBV||0.3162 V ≡ −7.78 dBu||0.894 V|\n|Sound pressure level (auditory threshold)||0 dB||2×10−5 Pa ≡ 0 dBSPL||5.66×10−5 Pa|\n|Reference studio level re 0.775 volt||0 dBu||0.7746 V||2.19 V|\n|Reference studio level re 1 volt||0 dBV||1.0000 V||2.828 V|\nInternational reference values\n|Physical unit||Level unit||Reference value||Note|\n|Voltage||V0 = 0.775 V||≡ 0 dBu||Audio engineering, no impedance reference!|\n|Voltage||V0 = 1 V||≡ 0 dBV||Audio engineering, USA|\n|Voltage||V0 = 1×10−6 V||HF receiver and amplifier technology|\n|Voltage||V0 = 0.224 V||HF technology - Reference 1 mW at Z = 50 Ω|\n|Voltage||V = 1.228 V||Studio level +4 dBu, USA - Reference 0.7746 V|\n|Voltage||V = 1.55 V||Studio level +6 dBu, ARD - Reference 0.7746 V|\n|Voltage||V = 0.3162 V||Home recording level −10 dBV - Reference 1.0 V ≡ −7.78 dBu|\n|Sound pressure||p0 = 2×10−5 Pa||≡ 0 dB||Sound Pressure Level SPL, auditory threshold (Sound field size)|\n|Sound particle velocity||v0 = 5×10−8 m/s||≡ 0 dB|\n|Sound intensity||I0 = 1×10−12 W/m2||≡ 0 dB||Threshold of pain at 1 W/m2 (Sound energy size)|\n|Power||P0 = 1 W||≡ 0 dBW||The reference impedance must always be told|\n|Power||P0 = 1 mW||≡ 0 dBm||Z = 600 Ω (telephones) or Z = 50 Ω (antennas)|\n|Electric field strength||E0 = 1×10−6 V/m|\n|Decibels (dB) Calculator\nDecibels are defined as ten times the log of a power ratio. Decibels convert\nmultiplication and division calculations into simple addition and subtraction operations.\nThis calculator converts between decibels, voltage gain (or current), and power gain.\nJust fill in one field and the calculator will convert the other two fields.\nEquations: Level in dB: L = 20 × log (V1/V2) = 10 × log (P1/P2)\n|The dBm is a logarithmic measure of power compared to 1 mW,\nthat means it is power dependent.\nIt can be converted to a voltage, if the load impedance is known.\nTypically the impedance (load) is 600 ohms.\nEquation: Level in dBm: LP = 10 × log (P / 0.001)\n|Simple rule of thumb: When working with power: 3 dB is twice, 10 dB is 10 times.\nWhen working with voltage or current: 6 dB is twice, 20 dB is 10 times.\n|Why is the bandwidth and the cutoff frequency found at the level of \"−3 dB\"?\nWhy we always take 3 dB down gain of a filter?\nFull width at half maximum (FWHM).\nAnswer: That is the point where the energy (power) is fallen to the value ½ or 0.5 = 50 percent of the initial power as energy\nquantity, that is equivalent to (−)3 dB = 10×log(0.5). A (−)3 dB power drop is a decrease of 50 % to the value of 50%.\nThere the voltage is fallen to the value of √(½) or 0.7071 = 70.71 percent of the initial voltage as field quantity equivalent to\n(−)3 dB = 20×log(0.7071). A (−)3 dB voltage drop is a decrease of 29.29 % to the value of 70.71 %.\n|(−)3 dB implies ½ the electric power and since the power is proportional to the\nsquare of voltage, the value will be 0.7071 or 70.71 % of the passband voltage.\n√½ = 1/√2 = √0,5 = 0,7071. P ~ V2, that is 0,5 ~ 0,70712.\n|Sound engineers and sound designers (\"ear people\") mostly use the usual (sound) field quantity. That'swhy they say:\nThe cutoff frequency of a device (microphone, amplifier, loudspeaker) is the frequency at which the output voltage level\nis decreased to a value of (−)3 dB below the input voltage level (0 dB).\n● (−)3 dB corresponds to a factor of √½ = 1/√2 = 0.7071, which is 70.71% of the input voltage.\nAcousticians and sound protectors (\"noise fighters\") seem to like more the (sound) energy quantity. They tell us:\nThe cutoff frequency of a device (microphone, amplifier, loudspeaker) is the frequency at which the output power level is\ndecreased to a value of (−)3 dB below the input power level (0 dB).\n● (−)3 dB corresponds to a factor of ½ = 0.5, which is 50% of the input power (half the value)..\n|Note: Power gain (power amplification) is not common in audio engineering.\nEven power amplifiers for loudspeakers don't amplify the power.\nThey amplify the audio voltage that moves the voice coil.\n|Sound field quantities\nSound pressure, sound or particle velocity,\nparticle displacement or displacement amplitude,\n(voltage, current, electric resistance).\nInverse Distance Law 1/r\n|Sound energy quantities\nSound intensity, sound energy density,\nsound energy, acoustic power.\nInverse Square Law 1/r²\n|Note: A sound field quantity (sound pressure p, electric voltage V) is not a sound energy\nquantity (sound intensity I, sound power Pak). I ~ p2 or P ~ V2. Sometimes you can hear\nthe statement: The cutoff frequency is there where the level L is decreased by (−)3 dB.\nWhatever the user wants to tell us so accurately: Level is level or dB is dB.", "label": "Yes"} {"text": "...At the beginning of my career I was a member of a computer hardware and software transition/training team for the University of Washington. My primary responsibility was to replace all DOS based computers at the university with the new state of the art personal pc systems with Microsoft products...\nRenton, WAView Tutor\n...I have many years experience in teaching and mentoring of both youth (age 6 to 18) as well as adults. My schooling, my engineering career and my associated daily practical use of math has prepared me to tutor pre-algebra. My background in engineering and my daily practical use of math has prepared me to be able to tutor pre-calculus.\nGig Harbor, WAView Tutor\n...As it turned out, teaching people to move better was far more difficult than teaching physics! In fact, I would say that it was in the comparison of these two fields that I came to better understand how to effectively communicate ideas, i.e. to teach. In fact, my favorite part of teaching is wh...\nSeattle, WAView Tutor\n...As a primary teacher in the UK I taught reading, writing, math, handwriting, science, etc. and have experience planning and carrying out fun activities around each subject. During my time in London I was phonics co-ordinator in my school responsible for phonics teaching across 2 year groups. In...\nMaple Valley, WAView Tutor\n...I worked for for pharmaceutical companies for over 20 years! Let me know how I can help you. I have taught math and computer science at both high school level and college level before.\nBothell, WAView Tutor", "label": "Yes"} {"text": "The Department of Mathematics and Statistical Science offers three graduate degrees in mathematics (M.A.T., M.S., and Ph.D.) and one graduate degree in statistical science (M.S.), along with two graduate certificates.\nGraduate Degrees in Mathematics\nAn advanced degree in mathematics prepares students for a career in teaching, research, and various technical fields.\nMaster of Arts in Teaching Mathematics\nThe M.A.T. degree is designed primarily for certified teachers who wish to strengthen their subject matter preparation. We offer this degree on campus and through distance learning. Note: Receiving this degree does not give certification in high school teaching.\nMaster of Science in Mathematics\nThe M.S. degree prepares students to enter a Ph.D. program, to teach at some colleges, and for many positions in business and industry. We offer a non-thesis and thesis option for our M.S. program, both of which can be completed in two years.\nDoctor of Philosophy in Mathematics\nA Ph.D. in mathematics gives you the opportunity to teach mathematics at the university level, with the opportunity for original research.\nGraduate Degree in Statistical Science\nMaster of Science in Statistical Science\nThe objective of the M.S. program in Statistical Science is to provide sound training in the fundamental principles and techniques of statistics. Graduates will be equipped for a variety of statistical careers in industry, business, agriculture, government and biomedical fields or to engage in further study in the doctoral level. This degree is also available online.\nThere is a thesis option and a non-thesis internship option, to provide flexibility in meeting our students academic and career goals.\nThe Department of Mathematics and Statistical Science offers two graduate certificates: Data Science Certificate and Statistics Certificate.\nBioinformatics and Computational Biology\nThe University of Idaho also has strong departments of biology, computer science, and several engineering disciplines. Several of our faculty members and graduate students participate in our interdisciplinary graduate program in Bioinformatics and Computational Biology.", "label": "Yes"} {"text": "If you need to replace a broken domestic light bulb you will need to take note of the two sets of figures printed on the glass. One of the figures is likely to be 240 V. This number confirms that for the bulb to work correctly it should be connected to the UK mains supply. The second set of figures could be 10 W or 60 W or 100 W, or similar. But what do these figures mean? If you bought one of each of these bulbs and connected them to the same supply the difference between them would be obvious. The 10 W (ten watt) bulb would be quite dim, the 60 W bulb would be brighter, and the 100 W bulb would glow even brighter.\nBulbs are energy converters. They convert electrical energy into heat and light energy. The numbers on the bulbs tell us how quickly they do this. The 100 W bulb is very bright as it is converting 100 J (joules) of electrical energy into 100 J of heat and light energy every second it is turned on. The 60 W bulb is less bright as it is converting 60 J of electrical energy into 60 J of heat and light energy every second. The 10 W bulb is dim as it is converting just 10 J of electrical energy into 10 J of heat and light energy every second.\nThe rate at which a device converts energy is called the power or power rating of the device. For example, the brightest bulb above has a power rating of 100 W because it converts energy at the rate of 100 J every second. The dullest bulb has a power rating of 10 W because it converts energy at the rate of 10 J every second.\npower and energy It follows from the above that we can work out how much energy a device has converted by using the equation:\nenergy converted = power in watts × time in seconds\nor E = P × t\nThe energy calculated is measured in joules.\nexample Calculate how much energy is used when a 600 W TV set is turned on for 30 minutes, using E = P × t.\nE = 600 × (30 × 60)\nE = 1,080,000 J or 1,080 kJ\nThe energy used in joules when a TV set is turned on for just 30 minutes is quite a large number. If we measure the total amount of electricity we use in the home over three months in joules the number would be incredibly large and clumsy. (A little bit like asking you how far it is to the town centre from where you live but asking for the distance in centimetres!)\nTo get around this problem we usually measure domestic electrical energy in much bigger units, called the kilowatt-hour or unit.\nImagine a 1 kW fire turned on for one hour – it will use 1 kWh (kilowatt-hour) or 1 unit of energy. If it is turned on for two hours it will use 2 kWh or 2 units of energy. If a 2 kW fire is turned on for three hours it will use 6 kWh or six units of energy, and so on.\nTherefore we can calculate the energy used in kWh or units by any device, using the equation:\nnumber of units used = power of device in kW × time in hours\nTo work out the total cost of the electricity we have used, we now simply multiply the number of units used by the cost of one unit.\nexample Calculate the cost of having a 3 kW electric fire turned on for one full day if the cost of one unit is 9 p, using E = P × t.\nE = 3 × 24\nE = 72 units\ntotal cost = number of units × cost per unit\ntotal cost = 72 × 9\ntotal cost = 648 p or £6.48", "label": "Yes"} {"text": "Water flows over a section of Niagara Falls at a rate of 1.2 × 106 kg/s and falls 71 m. The acceleration of gravity is 9.8 m/s2 . How many 70 W bulbs can be lit with this power?\nI understand that the rate of flow of water was meant to be 1.2 x 10^6 kg/s rather than 1.2 x 106 kg/s. The question is solves with this rate.\nAs the water comes down the fall, its potential energy is converted into kinetic energy that may be used for generating electric power.\nIf we assume that this whole energy is converted into electricity with 100 percent efficiency, the electric energy generated is same as potential energy of water converted into kinetic energy. The rate of generation of this electric energy ids given by the formula:\nPower (in watts) = Energy (in joule)/s.\nEnergy/s = m*g*h\nWhere m = mass of water per second = 1.2 x 10^6 kg/s\ng = acceleration due to gravity = 9.8 m/s^2, and\nh = Height of fall = 71 m.\nTherefore electric power generated\n= m*g*h = (1.2 x 10^6)*9.8*71 = 834.96 x 10^6 W\nnumber of 70 watts bulb that can be lit by this power is given by the formula:\nNumber of bulbs = (Total power generated)/(Power used per bulb)\n= (834.96 x 10^6)/70 = 11 982 000 bulbs.\nAnswer: 11 982 000 bulbs can be lit.\nThe mass, m of water falling in one second =m=1.2*106kg=127.2kg.\nThe acceleration of falling = g=9.8m/s^2.\nThe force generated by water due to falling = mg Newton =127.2*9.8 N=1246.56Newton.\nThe work done by the force = force* distance = force * height of fall=1246.56*71m=88505.76 watts\nThis energy is equal to (88505.76/70)=1264.368 or 1264.368 times the energy required of a 70 w bulb.", "label": "Yes"} {"text": "Moment of Inertia and its significance :\nAccording to newton's first law of motion the body continues to stay in the state of rest or in the state of motion. This property of inertia possessed by all the matter is the measures of mass in translatory motion. Similarly when a body is rotating or fixed about an axis. Any change in its state of rest or motion can be brought about by a couple or Torque the greater the opposition to change greater is the inertia. It is this rotational inertia of the body is called its moment of inertia about its axis of rotation.\nThe analogy between the two types of motion is the mass defined as \" Coefficient of inertia for translatory motion\" and the moment of inertia defined as \"Coefficient of rotational inertia in rotating motion\". In translatory motion the motion of the body depends on the mass alone.\nIn rotatory motion, the moment of inertia of the body depends not only on the mass of the body but also upon the effective distance of the body from the axis of rotation. The effective distance K of the particles from the axis of rotation is called the radius of gyration about that axis and is equal to root mean square distance of the particles from the axis.\n\"The radius of gyration of a body about a given axis of rotation is the distance from the axis of rotation is the distance from the axis at which if the whole mass of the body were to be concentrated, the moment of inertia of the body about the axis of rotation would be the same as with the actual distribution of mass.\nThe mass of body remains the same, irrespective of rotation, the value of radius of gyration about the axis depends upon.\na) The position and direction of the axis of rotation\nb) The distribution of the mass of the body about this axis, the value for the same body is different at different inclination.\nThe radius of gyration of a body about a given axis of rotation given an inclination of the distribution of the mass of the body about it and hence the effect of distribution mass on the moment of inertia about that axis.\n|Guest Author: pretty 25 Aug 2014|\n|plz upload proper significance of moment of inertia|\n|Guest Author: kishore ram Dhaka 16 Jan 2015|\n|moment of inertia is always use in the case of rotation of a body about an axis and if moment of inertia high then you have to apply high torque to rotate the object and if less than less torque needed. As in linear motion if mass of body is high then high force is needed to accelerate the object.|\n|Guest Author: Niku 01 May 2015|\n|Nice article - I like it very much.|", "label": "Yes"} {"text": "This study examines the relationship between portfolios and regressions, which is desirable for educational, mathematical, and theoretical reasons. Educationally, understanding this relationship simplifies the teaching and learning of both procedures. Mathematically, portfolio optimization and regression systems are abstractly, algebraically, topologically, and structurally equivalent. One is obtained from the other as if modeling clay, without tears or discontinuities, and what one learns in one system can be applied to the other. We show portfolios and regressions are equivalent at a theoretical level as well. In the economic-financial context, this theoretical equivalence means that mean-variance, efficient portfolios are in fact optimal predictors, which is necessary for arbitrage-based investment valuation and for the study of arbitrage-based market adjustment. We use linear algebra and study the characteristics of Lagrange methods to make our point. We also provide specialized procedures to facilitate portfolio optimizations.\nM. Tarrazo, Portfolios and Regressions, Journal of Financial Education, 35, (2009), 56-74.", "label": "Yes"} {"text": "NC NAEP MATH SCORES\nSHOW STATE'S STUDENTS ABOVE THE\nNATIONAL AVERAGE IN MATHEMATICS, AT THE\nNATIONAL AVERAGE IN READING\nNorth Carolina fourth and eighth grade students are performing at the national average or better, according to the 2011 National Assessment of Educational Progress (NAEP) results just released by the National Center for Educational Statistics (NCES). The NAEP is now required of every state and is often referred to as the nation's Report Card.\n\"I am committed to ensuring that all of our students perform at grade level, particularly in reading, writing and mathematics,\" Gov. Bev Perdue said. \"These test scores show that we have made real progress, but still have more work to do to meet my goal of ensuring that every child has a chance to succeed in a career, in a two- or four-year college or in technical training. We continue to move kids forward in North Carolina. Our high school graduation rate is higher than ever, and today's scores in math and reading are going up as we invest in Career and College: Ready, Set, Go!\"\nState Superintendent June Atkinson noted that North Carolina public schools have been very focused on improving instruction and learning for students over the past decade and are making additional improvements to continue this focus.\n\"Mathematics and reading are critical skills for all students and provide the foundation for learning in other disciplines,\" said State Superintendent June Atkinson. \"Our NAEP scores show that we have made progress in mathematics, but we continue to face challenges in improving reading performance.\n\"Our state's move next year to the Common Core state standards in reading and mathematics will give us the tools to help more students move into the Proficient and Advanced achievement levels.\"\nNorth Carolina's reading scores show North Carolina fourth grade students earning an average score of 221 while the nation is at 220. At eighth grade, North Carolina's average score is 263, and the nation's average is 264. In reading, North Carolina's average score is not considered to be statistically different from the national scores, according to the NCES.\nIn mathematics, North Carolina fourth graders posted an average score of 245 as compared to the national average of 240. For eighth graders, the average mathematics score was 286, while the national average was 283. In mathematics, North Carolina's average score is considered to be statistically higher than the national scores, according to NCES.\nIn the recent years of NAEP, North Carolina students have shown steady improvement in mathematics. Reading performance has experienced more fluctuations.\nCompared to other states, North Carolina's average fourth grade mathematics score was higher than 30 other states or jurisdictions, lower than 6 others and in the same performance category as 15 other states or jurisdictions. Eighth grade mathematics scores placed North Carolina lower than 11 other states or jurisdictions, higher than 26 others and the same as 14 others.\nOn reading, North Carolina fourth graders were lower than 13 states or jurisdictions, higher than 15 states or jurisdictions and not significantly different from 23 others. In eighth grade, North Carolina's reading scores placed the state below 27 other states and jurisdictions, higher than 11 states or jurisdictions and the same as 13 others.\nIn addition to providing the average scores for each grade and subject, the NAEP performance also is reported by the percentage of students scoring in three achievement levels: Basic, Proficient and Advanced. In fourth grade mathematics, North Carolina has 44 percent of fourth graders scoring at the Basic level; 38 percent at Proficient and 7 percent at Advanced. When the state began participating in NAEP in 1992, approximately half of all fourth graders were below Basic in mathematics. In 2011, 12 percent of North Carolina fourth graders scored below Basic. The percentages scoring in each category have fluctuated from one testing year to the next, but the trend in fourth grade mathematics is toward having more students at Basic or above.\nAt the fourth grade level in mathematics, the nation has 18 percent below Basic; 42 percent at Basic, 33 percent at Proficient and 6 percent at Advanced.\nFor eighth grade mathematics, North Carolina has 38 percent of its students at Basic; 27 percent at Proficient; and 10 percent at Advanced. Nationally, those numbers are 39 percent at Basic, 26 percent Proficient and 8 percent Advanced. When North Carolina began participating in the NAEP mathematics assessment in 1990, 62 percent of students were scoring below the Basic level. This has declined to 25 percent.\nIn reading, North Carolina's scores and the nation's scores have remained more consistent. In 2011, North Carolina posted 34 percent of its fourth grade students at Basic, 26 percent at Proficient and 8 percent at Advanced. Nationally, the averages in fourth grade reading were 34 percent at Basic, 25 percent at Proficient and 7 percent at Advanced. In 1992 when the NAEP began assessing reading, North Carolina's average score was significantly lower and the percentage of students who were below Basic was 44 percent versus 32 percent in 2011, significantly.\nFor eighth grade reading, North Carolina scores showed 43 percent of students at the Basic level, 28 percent at Proficient and 3 percent Advanced. The nation's numbers were 43 percent at Basic, 29 percent at Proficient and 3 percent Advanced. In 1998 when eighth grade reading was first measured by the NAEP, North Carolina had 24 percent of students below Basic. In 2011 that number was 26 percent.\nNAEP is given in reading and mathematics every other year. The NAEP assesses reading in both literary and informational texts. The assessments are given to a representative sample of North Carolina students selected by the NCES as representative of the state.\nThe NAEP assesses mathematics in five content areas: number properties and operations; measurement; geometry; data analysis, statistics, and probability; and algebra.\nNAEP results for the nation reflect the performance of students attending public schools (including charter schools), private schools, the Department of Defense schools, and Bureau of Indian Education schools. Only national and state-level data are available because the NAEP is given to a sample of students in each state. The NAEP assessments are conducted in reading, mathematics, science, writing, civics, economics, geography, US history and the arts. Reading and mathematics are the two subjects assessed every two years with state-level results reported.\nComparisons between North Carolina students and the nation are made using public school scores only.\nNOTE :: Various file formats are used on this page that may require download. If larger than 1mb, it will take longer to download. For instructions or more information, please visit our download page.\nAbout the North Carolina Department of Public Instruction:\nThe North Carolina Department of Public Instruction provides leadership to 115 local public school districts and 160 charter schools serving over 1.5 million students in kindergarten through high school graduation. The agency is responsible for all aspects of the state's public school system and works under the direction of the North Carolina State Board of Education.\nFor more information:\nNCDPI Communication and Information Division, 919.807.3450.", "label": "Yes"} {"text": "Prof. Youjin Zhang\nTsingua University, China\nSpecial Cubic Hodge Integrals and the Fractional Volterra Hierarchy\nWe show that the generating function of cubic Hodge integrals satisfying the local Calabi-Yau condition is the tau function of a particular solution of an integrable hierarchy called the fractional Volterra hierarchy. This integrable hierarchy is a certain generalization of the Volterra lattice hierarchy (also called the discrete KdV hierarchy) which is well known in the theory of nonlinear integrable systems.\nThursday 21 Jul 2020, 10AM Beijing Time.", "label": "Yes"} {"text": "To use this converter, just pick a unit to transform from, a unit to convert to, then form the value you want to convert. The an outcome will be displayed immediately.\nYou are watching: How many teaspoons are in 4 ounces\nThis converter accepts decimal, integer and fractional values as input, therefore you can input worths like: 1, 4, 0.5, 1.9, 1/2, 3 1/2, etc.\nNote that to enter a combined number favor 1 1/2, you show leave a room between the integer and the fraction.\nThe numerical an outcome exactness will certainly be follow to de number o far-reaching figures the you choose.\nWhen the result shows one or more fractions, girlfriend should think about its colors according to the table below:\nExact portion or 0% 1% 2% 5%10%15%\nThese colors represent the maximum approximation error because that each fraction. If the error does no fit your need, you have to use the decimal value and also possibly boost the number of significant figures.\nPlease, if friend find any issues in this calculator, or if girlfriend have any type of suggestions, please contact us.\nSee more: How Many 3 Letter Combinations Are There, Three Letter Combinations\nThe maximum approximation error for the fractions presented in this app are according v these colors:\nExact fraction 1% 2% 5%10%15%\nOne to countless converters\nExamples the Volume Conversions4-1/2 gallons to cubic inches981 milliliters come quarts5 quarts to ounces2 tablespoons come milliliters1 pint come cupsliters to gallons4 tablespoons come ounces3/16 gallons to ounces11/64 cubic inches to litersounces come pintscubic meters to liters1 quart come ouncesmilliliters come cupsdrops to teaspoons40000000000000 cups to pints4 ounces come millilitersounces to gallonsliters to milliliters50 ounces to cups292 drops to milliliters\nThis application software application is because that educational functions only. We space not responsible for any special, incidental, indirect or consequential damages of any type of kind occurring out the or in link with the usage or power of this software.", "label": "Yes"} {"text": "Original link: http://mingxin.life/index.php/archives/337/\nI think there are two types of learning, one is general knowledge, including various common sense, life principles, etc., and the other is ability.\nLeaving aside general knowledge, the purpose of the latter is to acquire a certain ability, and existing knowledge is a shortcut. But the premise is often ignored, that is, you must be able to walk by yourself. The result of putting the cart before the horse is that knowledge has become a mountain that hinders us.\nWhen I was in school, I was very confident in learning data, why? Because I learned a formula when I was in elementary school, and deduced another formula by myself. I felt that I had made a big discovery, and I excitedly told the teacher. The teacher told me that I could learn it next year, but he still suspected that I had read the textbooks for the senior grades. I was very frustrated because the formula I discovered had been discovered by someone else, but I was also very happy because the first person who discovered it was a mathematician. If I was born earlier than him, this formula should have my name on it. Already—a childhood thought.\nOf course, this incident discouraged my interest in deriving mathematical formulas, because I don’t know if the formulas I deduced have been discovered by others. But this kind of self-confidence has always been with me, and I have never doubted my ability to learn. Until high school, my mathematics, physics and chemistry have always been very good.\nIn my opinion, the exploration of human beings in the field of mathematics is like walking a path. When you first started on the road, you only need to do addition and subtraction, and you can get negative numbers when you do subtraction. Moving forward, you need to do multiplication and division. When you have decimals and fractions, you will find that some are indivisible, and you will have infinite decimals. Going forward, you need to calculate the area and volume, and you have the square, the cubic, the square root, and even a geometry. Going deeper, equations, mechanics, calculus and so on. These concepts or discoveries are like signposts, recording the footsteps of human exploration.\nWhen we go to study mathematics, we are retracing this path. But the first thing we have to learn is how to walk, that is, the basic method of studying mathematics, and then we run along the road signs of our predecessors, quickly explore this road, and when we run to the end of the road, we can slowly explore it. What are the places to go. Even on the way, you can also pay attention to the open spaces beside the road without road signs.\nFor those who are not interested in mathematics, it is enough to learn how to calculate. More complex calculations can be learned after use, or directly use a computer.\nI am not interested in pure theoretical research, I prefer to study and research purposefully. Because I believe that the actual needs of social life promote the development of science and technology, and dragon-slaying skills that have nothing to do with social life needs will disappear no matter how advanced they are, while related skills will continue to develop.\nIn addition to the fun of learning itself, I went to school to enter the university, and the purpose of the university was to find a job. Studying at work is because of work needs, and restarting study after the age of 30 is to solve my life problems.\nThere is no need or problem, and learning aimlessly is just another way to pass the time. To pass the time, we must find the way we like, just like when we get tired of playing a game, we will naturally change it.\nThis article is transferred from: http://mingxin.life/index.php/archives/337/\nThis site is only for collection, and the copyright belongs to the original author.", "label": "Yes"} {"text": "If you are obliged to follow a mandated math curriculum at your school, then I suggest you read no further because this site is probably not suitable for you. However, if you are looking for something that is different, yet might spark an interest in either you or your students, then it might be worthwhile for you to continue reading.\nIn 1992 I wrote an alternative curriculum for Pre Calculus students who enjoyed mathematics, but not the rigor of mathematics. I named the course Mathematical Investigations and it soon became recognized as the most enjoyable math course at our school for many of our students. One of topics that we delved into was titled Calculator Limitations and Extensions. The students’ reactions were so positive that I made a similar presentation with the same title at the Wisconsin Mathematics Council Annual Meeting to 60 math educators. Of the five problems that were examined, none could be solved directly by use of a calculator without applying the appropriate mathematical concepts. Interestingly, many of the math teachers struggled with the problems as much as my students did.\nEventually, I wrote an enrichment booklet series called Ten Plus One for American Educational Products that contained similar type problems. Of the original six booklets, four remain in their catalog for sale, but the other two have been discontinued so I am free to sell them myself through TpT. This booklet is titled as Calculator Investigations.", "label": "Yes"} {"text": "I have another DimeCast that went live this morning. This one is entitled “Exploring Expressions with Spark.”.\nHere’s what we cover:\n”We are going to take a look at the various different ways you can use Expressions with the Spark View engine. We are going to review simply scenarios such as math based expressions and move up to looking at nested if-then-else statements.”", "label": "Yes"} {"text": "Coder Academy at the Redford Township Library\nRedford Township Library\n25320 Six Mile Road\nRedford Charter Township, MI 48240\nKids in grads 3-5 can participate in this coding workshop. Participant must have basic math skills, including addition and subtraction and plotting coordinates. You must bring your own laptop and headphones/earbuds (please remember to bring charger pack), a notebook, writing utensils, calculator and your own lunch.\nParticipant should be interested and enthusiastic about the subject material, this is the only way to get the best experience, and must be ready to participate and have a great attitude each day. Registration required as class size is limited to 18.", "label": "Yes"} {"text": "A new three step iterative method for solving nonlinear equations is introduced based on the following scheme: Let be an initial guess sufficiently close to a simple root of the equation . The iterative step consists two predictor steps:\nand one corrector step:\n. The authors show that if the function is sufficiently differentiable on an open interval which contains a single root, and if is sufficiently close to this root, then the proposed iterative algorithm has the fourth-order of convergence. Several numerical examples are given to illustrate the efficiency and performance of the new method.", "label": "Yes"} {"text": "M111 Math as a Human Pursuit Lab Semester 121\nCane Toad Population Growth Lab Name _____________________\nWeb site for Film: Canetoads the Conquest\nFrom 1935-37, the\nAmerican marine toad -- also called the Cane Toad --(Bufo marinus) was\nYear Area Occupied (square km)\n1. We are going to use Logger Pro software to find the best fitting exponential curve for this toad data and then use it to predict future growth. The primary reason we are using Logger Pro is to become familiar with its interface for some experiments we will be doing.\n2. First save the following “Experiment File” for Logger Pro that has the above toad data already entered in it. (Right click on this link ToadPop-121.cmbl and chose “Save Link Target As” – then save the file to the N: drive).\n3. Start Logger Pro by clicking on the Logger Pro Icon (Close Tip of the Day if showing, and then Click on “Continue without interface”)\n4. Choose Analyze – Curve Fit. Select Manual on the Fit Type. Click on Define Function and then press enter. Into the box labeled Define User Function type \"P*(1+r)^x\", enter the name as “expon” and click on OK. Then in the boxes to the right enter the values: 32800 for P and 0.05 for r. Then click on OK\n5. You can see that the curve does not have a good fit since the rate .05 is not fast enough.\nTo delete the curve click on the x on the floating box that labels the curve.\n6. Choose Analyze – Curve Fit, the function P*(1+r)^x and enter the same value for P(32800), but a different value for r. (You can use the up and down arrows by the r parameter until you think the curve is a good fit – set step size to 0.01 first). You should see a value for RMSE in the lower right of the window. The RMSE ( Root Mean Square Error) is a measure of how far away, on average, the data points are from the fitted curve. RMSE is in the units of the y-axis (toads in our case). Try to get the smallest value for RMS (root mean square error) that you can.\nWrite down the resulting equation that you decide upon:\n7. Now choose Analyze – Curve Fit, the function P*(1+r)^x, and click on the Automatic option, then choose OK. This has Logger Pro choose the best fitting curve (-- in terms of a least squares fit -- the one that minimizes the sum of the squares of the vertical distances of the points from the curve.)\na) Write down the equation that Logger Pro chooses as the best fit for the data:\nb) Using this model of exponential growth what should the population be in the year 2012 (73 years after 1939)?\n(use your calculator or Maple).\nc) What should the population be in the year 2039 (100 years after 1939) according to this growth pattern?\nd) Check your answers to the above questions in step 6 by choosing Analyze – Interpolate. Then move the mouse to the right until you find year 2012 and read the corresponding value for the Toad Population. Write down the predicted population:\ne) Repeat for the year 2039 (Elapsed time = 100). Write down the predicted population:\n8. Delete the fit(s) that you made by clicking the x-button (close) on the box with the curve.\n9. The data from the years 10 to 30 (1949 to 1969) seem to be linear. Try a linear fit for to this range of data:\na) (Zoom back in first). Select these data points by dragging the mouse pointer across the region from time 10 to time 30 (The region will be shaded gray) Then choose Analyze – Linear Fit.\nb) Write down the equation for the line represented by this fit.\nc) There are two measures displayed the goodness of linear fit RMSE and correlation.\nCorrelation is always between -1 and +1. Perfect positive linear correlation would have a value of 1. Perfect negative correlation would have a value of -1. Positive correlation exists between two variables if they tend to move in the same direction, negative correlation exists if they tend to move in the opposite direction (e.g. if we had a declining toad population.)\nWrite down the correlation shown:\nWrite down the RMSE shown:\nd) What would the population be in the years 2012 and 2039 respectively if the growth fit this linear curve?\nCheck your answer by using the Analyze – Interpolate again as before.\n10. To save your experiment file, choose File – Save and to exit LoggerPro, choose File – Exit.", "label": "Yes"} {"text": "The EDrill Math Flashcard contains five programs: Basic Addition/Subtraction Tables, Advanced Addition/Subtraction, Basic Multiplication/Division, Advanced Multiplication/Division, Advanced Time/Money. This program will take your child from basic addition/subtraction tables all the way to advanced multiplication/division. It will prompt your child with questions and check the answers for you. In addition to generating problems, all the programs keep track of correct, incorrect, and skipped problems, plus an overall average. There is also a correct and incorrect answer log that allows the parents to review the student's work.\nWindows 98/Me/2000/XP, Microsoft .NET Framework 1.1 Language Pack\nLimited set of math problems\nLike it? Share with your friends!\nOther Windows Software of Developer «CrsCss Software»:\nEDrill's SpellingBee Flashcard SpellingBee Program helps students learn their spelling words. Its unique features are: its fully function editor that allows you to create or modify your own spelling lists, and the fact that the SpellingBee program keeps a running total of the number of\nRedCrab - The Calculator RedCrab is a calculator with a full-screen editor. The mathematical expressions are not typed in a typical command line, but can be enter in the editor window. RedCrab display the result either next to the expression or such as in any position in engineeri\nMagic Math Space Tour for the Age 11-12 From the developer: \"\"Kids effectively learn math due to quiz-oriented learning accompanied by friendly natural animals and/or worms. As a whole inclusive hardle, the comprehensive game of Space Tour, touring and finding various planets and the surface o\nCosinor Enhance cosinor method for calculation of circadian chronobiological rythms. Cosinor parameters (Mesor, acrophase) are calculated from a very simple input grid.\nHyperbolic Tessellations A tessellation refers to a uniform tiling of a plane with polygons, such that an equal number of identical polygons meet at each vertex. For example, the tiles in a bathroom, the squares of linoleum on an office floor, or the honeycomb pattern in a bees' n\nAutoSignal AutoSignal gives researchers the power to rapidly find components of complex signals that normally require extensive programming and mathematical routines. AutoSignal provides a vast array of spectral analysis procedures to help you make intelligent conclu\nMath ActivityMaker: Fractions Math ActivityMaker: Fractions is a flexible, all-in-one worksheet maker to create instant practice worksheets for fractions skills. Easily and quickly make different leveled worksheets for Greatest Common Factor, Least Common Multiple, Adding, Subtracting,\nTimes Table Remember times when you went to school and had trouble getting your hands on the right materials? It was frustrating and it made studying even more annoying than it normally was. And what was one of the hardest subjects for almost any kid? Math, of course.\nDesktop Calculator - DesktopCalc DesktopCalc is an enhanced, scientific calculator with an expression editor, printing operation, result history list and integrated help. Desktop calculator gives students, teachers, scientists and engineers the power to find values for even the most compl\nFractions Solver - Nice Text A program that performs basic arithmetic operations on fractions. It also tests an individual on his/her fraction solving skills. There is an explanation part, which demonstrates the procedure/method to solve the given problem. Additionally there is an int\nX2 This little software solves equations and it also provides detailed geometric info about the related parabula. Results displayed using fractions but you can see the decimal values hovering your mouse over the results.Requirements:Windows 98/NT/2000/XP/2003\nSupported Operating Systems:\nWindows 2000 |\nWindows 98 |\nWindows Me |\nWindows XP |\nComments on EDrill Math Flashcard:\nComments not found\nWindows Software - Free Windows Downloads, Apps, Games, Freeware, Skype, Media Player, Antivirus, Gimp, Live, Starter for Windows XP, Vista, 7, 8, 10", "label": "Yes"} {"text": "Do you have a question you would like to ask Professor Puzzler? Click here to ask your question!\nLavinia from Italy writes: \"Hi professor. I have just read your post about this year's number (2017). In this post you say that we can write 2017 as a the sum of one cube plus twice another. 2017 = 113 + 2 · 73 I was wondering how you managed manage to discover this. Did you use a formula or something? Thanks, Lavinia\"\nThanks for asking, Lavinia. For those who missed it, this is a reference to the following blog post: Happy New Year 2017. In this blog post I make mention of the fact Lavinia pointed out:\n2017 = 113 + 2 · 73\nSo how did I discover this odd fact? There wasn't a formula. I found it simply by playing around with the numbers to see what interesting things I found. I don't remember exactly what I was doing when I discovered that, but it probably involved a spreadsheet. I probably was thinking, \"I wonder what results I'll get if I subtract perfect cubes from 2017!\"\nSo I probably entered the following formula into cell A1 of a spreadsheet:\n= ROW()^3 (cube the row number)\nAnd then, in B1 cell put the following formula:\n= 2017 - A1\nThen I would have used the \"fill down\" feature to populate a bunch of rows with the results of those calculations:\nIncidentally, this time as I looked at the rows of numbers, I realized that there's a perfect square in the second column: 289 = 172. So we can also write:\n2017 = 123 + 172\nI probably did something very similar to find the perfect squares that add to 2017:\nA1 = ROW()^2\nB1 = 2017 - A1\nC1 = SQRT(B1)\nThis would have given the following:\n2017 = 92 + 442\nIncidentally, there was another row that had no decimal, further down the spreadsheet. It was row number 44, of course!\nExcel (or any other spreadsheet application) can be a great help in exploring mathematical oddities. I realize that I'm a bit spoiled, having calculators and spreadsheets to use when playing with numbers. Imagine trying to figure out quirky number facts like these without even a calculator!\nSteve from Cincinnati writes: \"I believe this puzzle answer is 1089.\n11 X 11 = 4\n22 X 22 = 16\n33 X 33 = ???\n\"The first two equations are wrong, but they trick us into looking for a pattern rather than apply the mathematical rules...many people assume an addition function exists between each of the two pairs of integers. Not so. Therefore, thirty three multiplied by thirty three is 1089.\"\nHi Steve! Of course, you are 100% correct. 33 x 33 = 1089, no matter how many incorrect equations you put before it. Now that I've said that, if I stop there, I've got a really short blog post, and no one wants that - so let's fix their notation in order to turn it into a more interesting puzzle. We'll treat it as a single variable function:\nFind x if:\nF(11) = 4\nF(22) = 16\nF(33) = x\nIt still isn't a very good puzzle, though, because there's not enough information to come up with a single solution. In that respect, it's very similar to the \"Squares Problem\" I wrote up last year. Here are just three possible answers to the puzzle.\nWe add the digits of the number in the function's domain, and then square it. (1 + 1)2 = 4; (2 + 2)2 = 16; (3 + 3)2 = 36.\nWe square the number, and then add the digits: 112 = 121 and 1 + 2 + 1 = 4; 222 = 484 and 4 + 8 + 4 = 16; 332 = 1089 and 1 + 0 + 8 + 9 = 18.\nWe subtract 8 from the number, and then add the quotient the number and eleven: 11 - 8 + 11/11 = 4; 22 - 8 + 22/11 = 16; 33 - 8 + 33/11 = 28.\nI'm sure there are other solutions; those are just the ones that popped into my head on a quick glance. Can you come up with others? Send them my way and I'll add them to this post.\nThe following question comes to us from fifth grader Savannah, from Ruston. \"How do you convert units with exponents using the method 'king henry doesn't usually drink chocolate milk'?\"\nHi Savannah. \"King Henry Doesn't Usually Drink Chocolate Milk\" is what we call a mnemonic; it's a phrase that's designed to help you remember something important. In this case, what we're trying to remember is the prefixes for metric units. The prefixes all begin with the same letters as the words of the mnemonic, as shown below, with an example unit:\nKing ⇒ kilo ⇒ kilometer\nHenry ⇒ hecto ⇒ hectometer\nDoesn't ⇒ deca ⇒ decameter\nUsually ⇒ Unit without prefix ⇒ meter\nDrink ⇒ deci ⇒ decimeter\nChocolate ⇒ centi ⇒ centimeter\nMilk ⇒ milli ⇒ millimeter\nSo let's say I had 20 hectoliters. How would I convert that into milliliters? King Henry will help me remember the order of the units:\nkilo ⇒ hecto ⇒ deca ⇒ unit (without prefix) ⇒ deci ⇒ centi ⇒ milli\nIf I want to go from hectoliters to milliliters, I'm moving 5 prefixes to the right, so I'm going to multiply by 105. Thus, I have 20 x 105 = 2000000 milliliters.\nIf I wanted to convert 5 centimeters to decameters, I am moving the opposite direction through the units, and I'm moving 3 prefixes. So this time I divide (because I'm moving in the other direction) by 103. 5/103 = 0.005 decameters.\nOne problem with this mnemonic is that both deca and deci begin with D, so you still have to remember which word goes with which prefix. I would try to remember that both \"drink\" and \"deci\" have the letter i in them, and that may help you out.\nGood luck with your unit conversions!\n\"Can you explain terza rima and give an example?\" ~Anon, grade 5\nTerza Rima is an Italian phrase that means \"third rhyme.\" It's a specific way of rhyming lines in a poem. I think of it as sort of a revolving door of rhymes. In each stanza of a Terza Rima poem, there are two lines that rhyme, and one line that does not. The line that doesn't rhyme provides the rhyming syllable for the next stanza. Even though it doesn't rhyme with other lines in that stanza, it provides a connection to the next stanza, thus building the whole poem into a progressive, seamless whole.\nIn a Terza Rima poem, the last stanza often has two rhyming lines (that's called a couplet).\nIn other words, the rhyme scheme looks something like this:\nABA - BCB - CDC - DD\nIf you wanted more than four stanzas, you could chain together as many stanzas as you want in this format.\nIf you have a hard time following that explanation, here's a silly poem I wrote just for you, that uses the Terza Rima rhyme scheme:\nI dreamed the world was made of cookie dough.\nThe skies were filled with cotton candy clouds,\nAnd from them blew a storm of whipped-cream snow.\nThe fields of chocolate, farmers left unplowed;\nThe stalks of candy-cane grew everywhere,\nAnd gum-drops grew on bushes, low but proud.\nOh, nothing in this world seemed quite so fair\nAs pine tree branches bowed with sugar cones -\nEnough for all the hungry crowds to share.\nA whiff of spearmint on the wind was blown\nO'er milk-shake streams and maple syrup lakes.\nI shouted from atop my candied throne:\n\"This world of ours, it really takes the cake -\nIf it's a dream, I do not wish to wake!\"\nCopyright 2017 by Douglas Twitchell\nIncidentally, Robert Frost wrote a terza rima sonnet titled \"Acquainted with the Night.\" In addition, his poem \"Stopping by Woods on a Snowy Evening\" is not Terza Rima, but it's a very similar \"chained\" rhyme; each stanza has four lines. The third line doesn't rhyme with the others, but it does introduce the rhyme for the next stanza. The rhyme scheme looks like this:\nAABA - BBCB - CCDC - DDDD\nB.R. asks, \"Can you explain what mechanical advantage is?\"\nHi B.R., I'll give it a shot. Not knowing how much Physics background you have, I'll try to explain it in simple terms.\nFirst of all, I'd like you to consider the following arrangement, which is a person pulling on a rope, which runs over a pulley, and down to an object with a weight of 400 Newtons (that's about 90 pounds, if you're used to using English units).\nNow, when we talk about someone pulling on something, we're using the concept of a force. Forces are measured in Newtons (or pounds). If the object has a weight of 400 Newtons, that means the person holding the rope has to pull with a force of 400 Newtons in order to keep the object from speeding up or slowing down. If he pulled with a force greater than 400 Newtons, the object would begin accelerating upward. If he pulled with a force less than 400 Newtons, the object would begin to accelerate downward.\nThis system has a mechanical advantage of 1. This means that on one end, the person applies a force that is equal to the force at the other end of the system. 400 / 400 = 1.\nSo let's take our pulley system and make it just a little more complicated. Here I've put a second pulley at the bottom, and attached the rope to the ceiling. The object hangs from the lower pulley.\nNow, one of the things that's important to understand is that if the man pulls with a force of 400 Newtons, there is tension in the rope, and the tension is the same everywhere along the rope. That tension is also measured in Newtons, and it is 400 Newtons. But here's where it gets interesting. Look at that lower pulley (that the object is hanging off). What is the tension in the rope to the left of the pulley? 400 N, right? What is the tension in the rope to the right of the pulley? It's also 400 Newtons. This gives a total of 400 + 400 = 800 Newtons. The upward force on the object is double the object's weight. This object is going to accelerate upward, even though in the first scenario, it would not have accelerated.\nSo if the man pulls with a force of 400 N, the output force is 800 N. The mechanical advantage is 800 / 400 = 2.\nIncidentally, this means that the man could hold up an 800 Newton weight by applying a 400 Newton force. That's pretty impressive!\nYou could add more pulleys to the system, as shown here:\nIn this case, if the man is pulling with a force of 400 N, that means that there is 400 N of tension all through the rope, and so each of the lower pulleys has an upward force of 800 N, which means that the object (which is being supported from those two pulleys) has an upward force of 1600 N applied!\nSo the mechanical advantage is: 1600 / 400 = 4.\nIt seems like this is a win-win situation; you get better results by adding more and more pulleys. So why not add five hundred pulleys? If you did, you could hold up a 400 Newton object by applying a tiny, tiny force (less than 1 Newton!). So is it really a win-win situation? Not exactly. You see, there's a tradeoff for mechanical advantage. The tradeoff is the distance you pull the object. Take a look at the first diagram. If the man pulls the rope down 1 meter, the object will rise 1 meter.\nBut what about the second diagram? What will happen there? Well, if the man pulls the rope down 1 meter, that meter is evenly distributed on either side of the lower pulley. Which means that pulley will only rise 0.5 meters. And therefore, if he pulls down a meter, the object only rises half a meter.\nWhat about the third diagram? In that scenario, if the man pulls the rope downward 1 meter, that meter gets evenly distributed among four sections of the rope (one on either side of the two lower pulleys). In other words, the object only moves 0.25 meters.\nSo, if you had 500 pulleys, you'd be in the very interesting situation that you could easily lift a 400 Newton object, but it would take you a long time to do it; for every meter you pulled the rope down, the object would only move 2 millimeters!\nThere are many other kinds of machines: screws, wedges, levers, axle-and-wheels, and inclined planes. For every machine, there's a tradeoff; you can make the work easier, but in doing so, you end up extending that effort over a longer distance. An inclined plane is another easy one to picture. Imagine trying to lift a grand piano 1 meter straight off the ground. Can't do it, right? But if I made a long ramp, you could push the piano up. Much easier than lifting, but the tradeoff is that you have to push it a whole lot more than 1 meter!\nWe've been providing free educational games and resources since 2002.\nWould you consider a donation of any size to help us continue providing great content for students of all ages?", "label": "Yes"} {"text": "Heron’s Formula Class 9 MCQ is one of the best strategies to prepare for the CBSE Class 9 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Heron’s Formula class 9 MCQ which will help them all through their board test.\nHeron’s Formula Class 9 MCQ Questions with Answer\nClass 9 Math MCQ with answers are given here to Chapter 12 Heron’s Formula. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 9 Math syllabus. By Solving these Class 9 MCQs, you will be able to analyze all of the concepts quickly in the Chapter and get ready for the Class 9 Annual exam.\nLearn Heron’s Formula Class 9 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 9 Heron’s Formula MCQ with answers given below.\nQuestion 1. The sides of a triangle are 56 cm, 60 cm and 52 cm long. Then the area of the triangle is\n(a) 1322 cm²\n(b) 1311 cm²\n(c) 1344 cm²\n(d) 1392 cm²\nQuestion 2. The area of an equilateral triangle with side 2√3 cm is\n(a) 5.196 cm²\n(b) 0.866 cm²\n(c) 3.496 cm²\n(d) 1.732 cm²\nQuestion 3. An isosceles right triangle has area 8 cm². The length of its hypotenuse is\n(a) 32−−√ cm\n(b) 16−−√ cm\n(d) 24−−√ cm\nQuestion 4. The perimeter of an equilateral triangle is 60 m. The area is\n(a) 10√3 m²\n(b) 15√3 m²\n(c) 20√3 m²\n(d) 100√3 m²\nQuestion 5. The sides of a triangle are 35 cm, 54 cm and 61 cm. The length of its longest altitude is\n(a) 16√5 cm\n(b) 10√5 cm\n(c) 24√5 cm\n(d) 28 cm\nWhoever needs to take the CBSE Class 9 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 9 Math Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Heron’s Formula Class 9 MCQ are ready by the subject specialists themselves.\nQuestion 6. The length of each side of an equilateral triangle having an area of 9√3 cm² is\n(a) 8 cm\n(b) 36 cm\n(c) 4 cm\n(d) 6 cm\nQuestion 7. If the area of an equilateral triangle is 16√3 cm², then the perimeter of the triangle is\n(a) 48 cm\n(b) 24 cm\n(c) 12 cm\n(d) 36 cm\nQuestion 8. The base of a right triangle is 48 cm and its hypotenuse is 50 cm. The area of the triangle is\n(a) 168 cm²\n(b) 252 cm²\n(c) 336 cm²\n(d) 504 cm²\nQuestion 9. The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm is\n(a) 15−−√ cm²\n(b) 152−−√ cm²\n(c) 215−−√5 cm²\n(d) 415−−√ cm²\nQuestion 10. The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 9 paise per cm² is\n(a) Rs 2.00\n(b) Rs 2.16\n(c) Rs 2.48\n(d) Rs 3.00\nYou can easily get good marks If you study with the help of Class 9 Heron’s Formula MCQ. We trust that information provided is useful for you. NCERT MCQ Questions for Class 9 Heron’s Formula PDF Free Download would without a doubt create positive results.\nWe hope the information shared above in regards to MCQ on Heron’s Formula Class 9 with Answers has been helpful to you. If you have any questions regarding CBSE Class 9 Math Solutions MCQs Pdf, write a comment below and we will get back to you as soon as possible.\nFrequently Asked Question (FAQs)\nHow many MCQ questions are there in Class 9 Chapter 12 Math?\nIn Class 9 Chapter 12 Math, we have provided 10 Important MCQ Questions, But in the future, we will add more MCQs so that you can get good marks in the Class 9 exam.\nCan we score good marks in Class 9 Math with the help of Heron’s Formula MCQ Questions?\nYes, MCQ Question is one of the best strategies to make your preparation better for the CBSE Board Exam. It also helps to know the student’s basic understanding of each Chapter. So, You can score good marks in the Class 9 Math exam.", "label": "Yes"} {"text": "Financial Planning Calculators\nTechnology permeates every part of modern life, but at its heart is the fact that computers are really quite good at math. Computers can crunch numbers in seconds that might stump us for hours. To prove it, look no further than online calculators. With a simple applet, you can perform calculations that would take much longer by hand. Of course, we rarely run to a calculator just to do some math for the fun of it. We’re often looking for the answer to a problem, and that’s where specialty calculators come in. When we go beyond adding and subtracting, we start to unlock the real potential of these mathematics tools. Whether you need to figure out an advanced math problem, convert between different units of measurement, get a grip on your financial situation, or figure out your retirement savings, there’s an online tool for you. You can find all manner of financial assistance tools online, and armed with these resources, anyone can get a sense of where they stand financially and how to improve their situation.\nBasic Math Calculators\n- Math Is Fun Calculator: Click this on-screen calculator’s buttons, or type a formula to compute your answer.\n- Basic Calculator: You’ll find all of the functions you’d expect from a simple calculator in this tool.\nScientific, Visual, and Graphing Calculators\n- Online Graphing Calculator: There’s no need to dig out your old graphing calculator from high school. This site brings graphing functions right to your Web browser.\n- Mathway Graphing Calculator: This graphing calculator features more than a dozen functions and a visually appealing display. You can enter multiple problems, making graphing equations easy.\n- Length Converter: Flipping between metric and imperial units can be bothersome, and repeated manual conversions can introduce errors. Use a converter tool (like this one for converting length) to keep your data accurate.\n- Temperature Converter: It’s easy to get an approximate value when converting from Celsius to Fahrenheit (or vice versa), but an accurate temperature reading is tough to do in your head. Fortunately, tools like this one make it easy.\n- Bandwidth Conversion: Every industry has its own jargon and its own need for specialized calculations. This tool makes calculating computer network bandwidth easy. It’s even handy for figuring out your home Internet speed or how long it will take to download a file.\n- Currency Conversion: Traveling or doing business overseas? You’ll want to know the value of your local currency as it compares to those you’ll find abroad. This tool helps you convert between currencies using up-to-date exchange rates.\n- Date Calculator: Adding or subtracting time on a calendar can be tricky. It’s more than simple math because not all months have the same number of days. This calculator makes it simple: Input your starting date and how many days, weeks, months, or years to add or subtract.\n- Speed, Distance, and Time Calculator: This calculator works out the speed of a vehicle given the distance it has traveled over a set time. It can also do the inverse, finding the time or distance if you know the speed.\n- Time, Speed, and Distance Calculator: This all-in-one program handles time, speed, and distance. As long as you know two of the three, this page will enable you to calculate the third.\n- Mass to Weight Calculator: When calibrating instruments or performing physics simulations, it’s important to start with good data. This tool converts mass to weight, taking into account the effects of gravity and acceleration.\nFinancial Planning Calculators\nPersonal Loan Calculators\n- Personal Loan Calculator: Want to know how much a personal loan will cost you every month? This is the tool for you. Input the principal, term, and interest to get the payment amount instantly.\n- Simple Loan Calculator: This loan calculator helps you find your monthly payment amount. Its easy-to-use sliders are useful for what-if scenarios, so you can see the impact of varying the interest rate or length of the loan.\n- Loan Calculator: This loan calculator looks simple but has a few tricks up its sleeve. It shows monthly payments and interest-only payments and also shows the total amount repaid over the life of the loan.\n- Budget Calculator: We all need to start somewhere, and this basic budget tool is a great first step. Input your income and estimated expenses and you’ll instantly get a picture of your financial health.\n- Income and Spending Analysis: When you’re ready to take your budgeting to the next level, this AARP calculator is a winner. It takes into account payroll taxes, spousal income, and a host of other variables.\n- Monthly Budget Calculator: This monthly budget works well for an individual or a family. It includes all of the common expense types plus a few fields for those miscellaneous expenses that can be hard to categorize.\n- Debt Calculator: Ever wondered how debt consolidation could impact your financial situation? Input a few data points into this tool and find out.\n- Debt Consolidation Calculator: This calculator takes a bit more input, as you’ll want to include all of your debts and expenses. Once they’re entered, however, you’ll have a clear picture of how a consolidation loan could help you out.\n- Amortization Loan Calculator: Knowing your monthly payment is a big help, but visually tracking the debt balance on a per-payment basis is even more powerful. That’s where this handy tool comes in.\nCollege Financial Aid Calculators\n- College Cost Calculator: Tuition can be expensive, but there are more college costs to consider. This comparison tool adds up other expenses, like room and board, books, supplies, and more. Then, it calculates how much you’ll need from grants, scholarships, and loans to cover the college experience. Fill in the data for several schools and you’ll have an easy way to compare costs.\n- Loan Repayment Calculator: This loan calculator is customized for student loans, showing how much you’ll need to repay. All of the standard loan types are included, and their common interest rates are helpfully provided.\nCar and Mortgage Calculators\n- Auto Loan Calculator: This quick and easy tool shows you the monthly payment for an automotive loan. It’s great for determining the down payment and trade-in amount you’ll need to get to the desired payment.\n- Online Loan Calculator: This advanced auto loan calculator shows the amortization of your loan as well as the total interest paid. There’s also a graph of your balance over time, which updates as you modify the loan terms.\n- Payment Calculator: Go even more in depth with this auto loan payment tool. It can accommodate sales tax, variable payment frequencies, and auto rebates. It can even generate a complete amortization schedule, including depreciation.\nRetirement Savings Calculator\n- Retirement Income Calculator: This tool is easy to use but still gives you a quick overview of your retirement situation. You can edit the details to model multiple scenarios, such as saving more or retiring at a different age.\n- Savings Calculator: Compound interest is the most powerful tool we have for building wealth. Find out how much your money could grow with this savings calculator.\n- Compound Interest Calculator: This tool has the flexibility to explore multiple scenarios and to account for taxes and inflation. It can also generate a table showing how your money might grow over time.\nFinancial Planning Tools\n- Understanding Checking Accounts: There’s no better way for young learners to get familiar with financial concepts than with hands-on roleplay. This lesson includes handouts, definitions, and interactive activities that help young people learn about checking accounts.\n- Making Spending Decisions: One of the hardest financial lessons to learn is how to judge when to spend and when to save. This lesson helps younger children (pre-K through second grade) understand why finances are about choices.\n- Inflation Is Real: Intended for grades 6-8, this lesson explains the concepts behind inflation, including what it is, why it matters, and how to calculate it.\n- A Lifetime of Savings: Using real-world examples, this lesson guides students from grades 9-12 through the concept of compound interest.\n- Teenagers and Saving: The earlier we start saving, the more time we have for compound interest to grow our wealth. Help teenagers understand saving with these tips.\n- Money Management for College Students: From saving on supplies to reining in impulse buys, these tips can help any college student make the most of the money they have.\n- Getting Fiscally Fit: This toolkit is intended for adults who want to get control of their finances. You might want to save up for a goal, or you might just want to know more about where you stand in your financial life.\n- Mastering Your Finances: These tools from NerdWallet can help anyone take stock of their finances. It may seem like an insurmountable task, but mastering your finances can start with a few simple steps, like starting a budget and committing to saving consistently.\n- Beginner’s Guide to Money Management and Budgeting: This collection of tools and tips can help adults of any age. It’s filled with helpful hints about building wealth over time, minimizing spending, and planning for retirement.\n- Avoid Investment Fraud: Once you start building wealth, you’ll want to protect it. Use these tips to avoid fraud and protect your investments.\n- Managing Your Money in Retirement: Once you’ve saved enough for retirement, how do you shift from saving to spending? This extensive toolkit can help make sense of retirement finances.", "label": "Yes"} {"text": "I want to prove double negation introduction in sequent calculus using the most basic rule set.\nThat is what I want to prove: from the sequent $$\\Gamma \\rightarrow\\Phi,$$ the sequent $$\\Gamma \\rightarrow\\neg\\neg\\Phi$$ is derivable.\nHow is this accomplished? It's seems much more difficult than in natural deduction. I think I may be able to prove the conjunction myself once I have this result.", "label": "Yes"} {"text": "Suppose you were preparing two-way tables of percentages for the following pairs of variables. How would you run the percentages?\na) Age and consumption of breakfast cereal.\nb) Family income and confidence about the family's future.\nc) Marital status and sports participation.\nd) Crime rate and unemployment rate.\nThis solution contains an example of using a chi-squares table in MS excel as a decision making device.", "label": "Yes"} {"text": "Data Analysis & Regression\nIn this lesson we will explore data analysis issues in pharmacokinetics. In the recorded presentations we talk about the philosophy of data analysis in pharmacokinetics and pharmacodynamics and then review linear regression. Finally we describe the differences between linear regression and nonlinear regression and give a brief introduction to maximum likelihood estimation, which is the main method used in nonlinear mixed effects modelling.\nYou will also find a manuscript by Boxenbaum et al. This manuscript was meant to be a tutorial on pharmacokinetic data analysis and although it was published some time ago it is a useful introduction to many of the issues in nonlinear regression as applied to pharmacokinetics.\nAfter this presentations you should have a clearer understanding of pharmacokinetic data analysis\nYou should understand how to select an appropriate model given a particular data set and dosing information\nYou should be able to diagnose model fit and perform simple statistical evaluation of the fit\n1.1 Please study the video presentations below:\nPlease study the 4 recorded Powerpoint lecture presentations below:\nYou can download a PDF of the presentation files here:\nIn addition, study the Boxenbaum manuscript below:\nYou can view a pre-recorded tutorial of this lesson here. [ Video ]\nN.R.Draper, H.Smith, Applied Regression Analysis, Wiley, 1998\nY. Bard , Nonlinear Parameter Estimation, Academic Press, 1974\nP.L. Bonate, ‘Pharmacokinetic-Pharmacodynamic Modelling and Simulation’, Springer, 2006\nM. Davidian, D.M. Giltinan, ‘Nonlinear models for repeated measures data’, Chapman & Hall, 1995", "label": "Yes"} {"text": "By JuR4gaN. Worksheet. At Thursday, March 26th 2020, 04:01:06 AM.\nThis section contains all of the graphic previews for the Differential Equations Worksheets. We have slope field, separable equation, differential equation, and exponential growth worksheets for your use. These Calculus worksheets are a good resource for students in high school.\nAnd if you’d like an open-and-go, all-in-one resource that guides you step-by-step, check out my book: Addition Facts That Stick. It provides detailed lesson plans, fun games, and simple worksheets for every step of the process, so that you can teach your child addition facts that truly stick.\nThese Math Flash Cards are great for classroom practice recognizing different shapes. The set will produce thirteen different shapes. These Math Flash Cards are appropriate for Kindergarten, 1st Grade, and 2nd Grade.", "label": "Yes"} {"text": "We are given that `int_(0)^(1)(15xsqrt(x^2+9))dx=50sqrt(10)-135` and we are asked to evaluate `int_(1)^(0)(15usqrt(u^2+9))du` .\nThese are definite integrals. If we restrict the variables to the real number line, a definite integral is typically defined as the Riemann integral; i.e. an infinite sum of geometric shapes. Definite integrals can be described as a \"signed\" area.\nBy the Fundamental Theorem of Calculus, we can find the definite integral by integrating the indefinite integral and evaluating at the endpoints. `int_(a)^(b)f(x)dx=F(b)-F(a)` where F is the function whose derivative is f.\nSo one way to evaluate the given integral is to integrate the indefinite integral. Thus\nThen noticing that d/du of u^2+9 is 2udu we can multiply inside the integral by 2 and outside by 1/2 to get:\n`=15/2 * ((u^2+9)^(3/2))/(3/2)+C`\nThe definite integral is\nBut there is an easier way. There is a rule for integrals that states:\nSo we take the given value of the indefinite integral and multiply by negative one to get\nThe functions in the integrand are identical except for the variable. The only other difference between the two definite integrals is that the upper and lower limits of integration have been switched. Thus we can use the rule giving us the answer of the opposite of the original definite integral.", "label": "Yes"} {"text": "Photomath is an application that uses the camera of your device to read and solve mathematical problems. This application also provides the step-by-step process by which the solution is derived. As of the latest version of this app, Photomath supports basic arithmetics, fractions, decimals, linear equations, and several supplementary functions like logarithms.\n|Name:||Photomath on Computer|\n|Compatibility:||Windows (All Versions)|\n|Security:||Checked – Virus Free|\nThis camera-using calculator was released in 2014 and after being praised by critics worldwide, it was also included in the Top 20 applications for learning and teaching. The Photomath application is free to download from both Play Store and App Store and can serve as a useful tool for teaching and learning mathematics. Whether it is to check homework or study for upcoming ACTs/SATs, Photomath has you covered.\nWhat is Photomath?\nThe Photomath application is compatible with both Android and iOS devices where it can be used to capture and solve mathematical problems in real-time with the help of the device camera. This application makes use of the latest text recognition software, identifying and solving mathematical problems of varying complexity, both handwritten and in the printed text.\nPhotomath makes use of optical character recognition (OCR) technology which allows it to read the question, solve it, and provide answers within seconds. This application currently has over 100 million downloads and new mathematical functions are added to each successive version of the app.\nPhotomath is an extremely reliable application, explaining in a step-by-step manner how to solve tricky mathematical problems that have you stuck in your homework or assignment. Not only is this software a useful tool for students who frequently find themselves unable to solve certain questions or equations, but also helpful for teachers and parents who want to help their students or children with their schoolwork.\nHow to Install Photomath for PC for free?\nThe Photomath application has versions that are compatible with both Android and iOS and can be downloaded directly from Play Store and App Store respectively. However, if you want to have this app on your PC or laptop, the process is a little longer and can potentially expose your computer to malware.\nBut if you need the Photomath application on your personal computer, just follow the steps outlined down below so you can successfully install the application and use it to get all the help you need with your tough math questions.\n- First of all, you will need to find and download an android emulator. An Android emulator is software that simulates Android devices on your computer. With the help of this, you can test and run many different Android applications on your computer.\n- The most popular Android emulators are the NoxPlayer and the BlueStacks emulator. You can download either one and use it to run Android applications on your PC or laptop.\n- After downloading the Android emulator, and completing the installation, launch the emulator by double-clicking its icon on the desktop.\n- Open your Google Play Store through the emulator and click on My Apps.\n- In the search bar, type Photomath and press enter or click on the search icon in the bar.\n- Download and install the Photomath application on your desktop.\n- Double click on the Photomath icon on your screen. Launch it, and get started on your mathematical problems.\nHere’s a quick tutorial video for your reference:\nFeatures of Photomath App\nPhotomath was created by the Deputat family corp in 2014 to provide an easy way to learn and solve mathematics for both teachers and students. Some key features that helped in making this application a raging success include the following:\nNo internet usage: When using the Photomath application, the problems that are equation-based can be solved even without being connected to the internet. This is because the application has a built-in method to recognize and solve specific questions that use the same equation. By substituting the numbers, the application solves your problem even in the absence of internet access.\nFree to use: The Photomath application is absolutely free to use. Having this app is like having a personal tutor who can help you out with your math homework that too free of charge! Not only that, this app can be used whenever you want without having restrictions that come with hiring a tutor or joining an academy.\nMultiple explanations: Photomath provides you with multiple step-by-step explanations of the solution, and more than one solving method so you can choose one that is the easiest for you to understand. Additionally, Photomath comes equipped with a Multi-functional scientific calculator that can further enhance your experience of learning.\nInteractive learning: One of the latest and very popular features of the Photomath application is the exclusive How-To animations that depict in a simple and easy-to-understand manner how a question was solved. Not only that, the application is loaded with simple yet high-yield graphs that will greatly improve your learning process.\nPhotomath Alternatives that you can Install\nSome other applications offer similar math solving features. These include:\nMyScript Calculator app supports basic arithmetic, square roots, and cube roots but does not solve trigonometry, logarithmic equations, and percentages. This application also recognizes handwritten questions. MyScript Calculator turns your device into an interactive piece of paper. All you need to do is write an equation and it gives you the result within seconds.\nNot only that, but you can also reuse previous results with a drag and drop feature. This app is based on MyScript Interactive Ink, which is the next step for digital ink and has received much praise worldwide.\niMathematics is available for free on Apple and Android. All you need to do is type in an equation and the app will solve it for you. Additional features that support more complex problems can be unlocked with an in-app purchase. iMathematics allows you to learn quickly from over 70 topics, with clear and simple explanations and easy formulas.\nIt also includes theorems, definitions, and properties as well as practice with various interactive calculators, like the advanced calculator, the Fraction Approximator, and the Equation Solver.\nMathway offers a useful math calculator for algebra, graphing, and calculus. Simply point your camera and take a picture of your math homework question for step-by-step answers. From basic algebra to calculus, arithmetic, geometry, and trigonometry, Mathway instantly solves your most difficult math problems.\nThis app has millions of users and even more; solved math problems on its interface. It’s like having a private tutor in your hand, providing instant homework help whenever you need it.\nFrequently Asked Questions about Photomath\nQ1. Is Photomath free?\nAns: Yes, Photomath is free to download and use on both Android and Apple devices.\nQ2. Does Photomath need WiFi?\nAns: Several features can be used without the internet. However, some features also need the internet to run.\nQ3. What can Photomath solve?\nAns: Photomath currently supports basic mathematics/arithmetics, Algebra, Geometry, Trigonometry, Calculus, and Statistics.\nQ4. Can Photomath solve word problems?\nAns: If you purchase Photomath plus, the additional features can solve a wide range of word problems.", "label": "Yes"} {"text": "Bethe ansatz for Yangian invariants\nHumboldt-Universität zu Berlin\nVendredi 07/06/2013, 14:15-15:15\nSalle Claude Itzykson, Bât. 774, Orme des Merisiers\nInspired by Baxter's perimeter Bethe ansatz I present a method to construct Yangian invariants. The condition for Yangian invariance is formulated as an eigenvalue problem that can be solved using Bethe ansatz techniques. The rather general principle is being worked out for rational inhomogeneous spin-chains with finite-dimensional representations of gl(n) in the quantum space. Using the algebraic Bethe ansatz I derive Bethe ansatz equations for Yangian invariants and study the corresponding on-shell Bethe vectors. They can be interpreted as partition functions of certain vertex models.", "label": "Yes"} {"text": "The Top Garcinia Source In Canada The best supplier of 100 pure extract is shown here. This particular Garcinia Cambogia is a top-notch product that has been proven to get real weight loss results in daily users.\nThis is our top recommendation for Canadians as the shipping is very fast. They also offer special deals where you can get free bottles if you buy several at a time.\nGarcinia cambogia is a fruit grown across India and Southeast Asia and it is used there as a food and its rinds are used in some traditional recipes of south India.\nJan 06, · Parabolas Assignment Answers Search for Perfect Parabolas Homework Answers Ends Here at addictivatarisoundsystem.tk Learning about parabolas is a tough thing in a general sense/5().\nOverview: What Is a Conic Section? Conic sections are the curves formed when a right circular cone intersects with a plane. The angle that the plane makes when it “cuts through” the cone determines the shape of the section.\nREAD THE RULES BEFORE POSTING >> Get some help! r/HomeworkHelp! Come here for homework help in most any field. We will not do it for you, but we can give you hints. Come here for homework help in most any field. We will not do it for you, but we can give you hints. Our rules are designed to help you get a useful answer in the fewest number of posts. Please follow them. Please help!! Math Parabolas (addictivatarisoundsystem.tkrkHelp) submitted 3 years ago by Jasaka.\nWe are here to make your parabola math assignment writing easier, faster and informative. Choose EssayCorp and get parabola assignment help & homework help/5(K). Parabola Homework Help - K Grade Level, College Level Geometry Mathematics. Introduction of Parabola. Parabola is a conic section, created from the intersection of a right circular conical surface and a plane parallel to a generating straight line of that surface/5(K).", "label": "Yes"} {"text": "Over 12 games, a baseball team scored an average of 6 runs per game. If their average number of runs in the first 10 games was 5 and they scored the same number of runs in each of the last two games, how many runs did they score in the last game? Please explain how you arrived at your answer. Step-by-step procedures will be greatly appreciated.\nDo you need a similar assignment done for you from scratch? We have qualified writers to help you. We assure you an A+ quality paper that is free from plagiarism. Order now for an Amazing Discount! Use Discount Code “Newclient” for a 15% Discount!NB: We do not resell papers. Upon ordering, we do an original paper exclusively for you.\nThe post Need your help with this Math word problem appeared first on Quality Nursing Writers.", "label": "Yes"} {"text": "Public radio network WAMC has a program devoted to women in science, technology, engineering and mathematics aptly called Women in Science ON THE AIR! They've put the show online, so you don't even need to be in the network's listener area to hear the program. From their site description:\nThe Women In Science, Technology, Engineering and Mathematics ON THE AIR! website is an audio resource for young girls, young women, parents, middle and high school teachers, college professors, guidance counselors, researchers, organizational leaders, and anyone interested in learning more about the past, present and future role of women in science and technology education, fields and careers.There are several different (but overlapping) program series they have available:\n- Sounds of Progress: \"a series of radio stories that highlight the changing role of girls and women in science, technology, engineering and mathematics (STEM).\"\n- Powerful Signals: \"a special radio series highlighting the role of women and girls in science, technology, engineering, and mathematics (STEM).\"\n- Her-Story Then and Now: profiles women scientists and engineers, past and present\n- The Tech Club: \"Aspiring teenage scientists, Emily Lescak and Ivy Hughes join Mary Darcy, Producer and Host of 51% and talk with 54 women in science and technology about why and how each of these women chose her career, what she does each day and what she hopes to accomplish in her work.\"\nTags: women in science, radio, WAMC", "label": "Yes"} {"text": "...Knowledge is power! My approach to working one on one with a student is fairly literal and my style is to demand that a student focuses on the task of learning at hand. I have a broad educational background in math, writing, science and music.\nBreckenridge, COView Tutor\n...After this I started another private tutoring firm and tutored grade school and high school students in Georgetown in Math, Latin, English, and various Sciences. I have worked with students of all ages and backgrounds so I feel confident in being able to teach you or your child in a personally t...\nAvon, COView Tutor\n...By giving the topics purpose, you can get a better understanding of why we do what we do. Hopefully, this approach will help students in their study of precalculus. I am a retired Algebra 2 and Pre-Calculus teacher.\nEvergreen, COView Tutor", "label": "Yes"} {"text": "Modern scientific and engineering computations are based on a numerical study of applied mathematical models. Mathematical models involve linear or nonlinear equations as well as systems of ordinary differential equations (ODEs). But in the majority of cases, mathematical models consist of systems of partial differential equations (PDEs), which may be time-dependent as well as nonlinear and, moreover, they may be strongly coupled with each other. In addition, these equations are supplemented with the appropriate boundary and initial conditions. To obtain high-fidelity numerical results of practical interest, it is necessary to find solutions of boundary value problems in complicated computational domains.\nThe existing literature that discusses problems of scientific and engineering computations, in fact, does not reflect the up-to-date realities. Practically, we have books on numerical methods somehow adapted to the needs of the reader. They focus on scientific and engineering computations from the viewpoint of specialists in numerical methods and computational mathematics. This approach includes developing a numerical method, programming a code, performing computations, and processing numerical results; all of these steps are carried out by the readers themselves. This methodology is appropriate for solving rather simple problems and suggests the sufficient universality of the reader, which is quite rare.\nApplied software must reflect the state-of-the-art in numerical methods, programming techniques, and the efficient use of computing systems. This can be achieved with a component-based software development. In this approach, after a modular analysis, a mathematical model is divided into basic computational subproblems, and then an algorithmic interface is organized between them. The solution of the subproblems is implemented using standard computational components of scientific and engineering software. Software packages and modules for pre- and post-processing of problem data may also be treated as components of the developed applied software. The above-mentioned problem-oriented computational components are oriented towards solving typical problems of computational mathematics, and they are developed by experts in numerical methods and programming techniques. The last condition ensures the quality of the developed product when we employ modern computing systems.\nApplied software is developed using certain standards and agreements. It concerns, in particular, a programming language. For a long time the software for scientific and engineering computations was implemented in the programming language Fortran. The main advantage of Fortran is a large number of programs and libraries written in it, which are often freely available with a source code and documentation. Nowadays, the situation is changing in favour of other programming languages, especially in favour of C and C++. At present, new mathematical libraries and particular components are usually written in C/C++. Moreover, many well-proven applied software projects developed early in Fortran were rewritten in C/C++.\nIn research projects, we traditionally focus on using free and open source software (FOSS). It is especially suitable for educational process. From our point of view, the natural business model should be based on payment to an educational institution for training potential users of proprietary software, but in reality, it seems to be quite the contrary. The second requirement, in our mind, is portability, i.e. software should work on various hardware platforms and/or operating systems. In more exact terms, programming languages, available libraries, and applied software should be cross-platform.\nAnother important issue is related to multiprocessor computers. Applied software for multiprocessor computing systems with shared memory (multicore computers) is developed using OpenMP. For systems with distributed memory (clusters), the standard programming technique is MPI. Applied problems that are governed by PDEs can be solved on parallel computers using the library PETSc.\nThese key thoughts have determined the structure of this book and its general direction of designing modern applied software. We describe the basic elements of present computational technologies that use the algorithmic languages C/C++. The emphasis is on GNU compilers and libraries as well as FOSS for the solution of computational mathematics problems and visualization of the obtained data. This set of development tools in other circumstances might be slightly different, but this does not change the general orientation.\nAll the questions of the numerical solution of applied problems on parallel computing systems are discussed in the second volume.\nThe book was prepared by a team of researchers from the Center of Computational Technologies, M. K. Ammosov North-Eastern Federal University, Yakutsk, Russia, and scientists from the Nuclear Safety Institute, Russian Academy of Sciences, Moscow, Russia. We hope that this book will be useful for students and specialists who solve their engineering and scientific problems using numerical methods. We would be grateful for any any constructive comments on the book.\nPetr N. Vabishchevich\nMoscow and Yakutsk, March 2014.", "label": "Yes"} {"text": "Composition operators on weighted Bergman spaces.\nJones, Matthew (1999) Composition operators on weighted Bergman spaces. PhD thesis, University College London.\n- Published version (with publisher's formatting)\nIn the late 1960’s, E.A. Nordgren and J.V. Ryff studied composition operators on the Hardy space H2. They provided upper and lower bounds on the norms of general composition operators and gave the exact norm in the case where the symbol map is an inner function. Composition operators themselves, on various other spaces, have been studied by many authors since and much deep work has been done concerning them. Recently, however B.D. MacCluer and T. Kriete have developed the study of composition operators on very general weighted Bergman spaces of the unit disk in the complex plane. My starting point is this work.\nComposition operators serve well to link the two areas of analysis, operator theory and complex function theory. The products of this link lie deep in complex analysis and are diverse indeed. These include a thorough study\nof the Schr¨oeder functional equation:\nand its solutions, see and the references therein, in fact some of the well known conjectures can be linked to composition operators. Nordgren, ,has shown that the Invariant Subspace Problem can be solved by classifying\nthe minimal invariant subspaces of a certain composition operator on H2, and de Branges used composition operators to prove the Bieberbach conjecture. In this thesis, I use various methods from complex function theory to prove results concerning composition operators on weighted Bergman spaces of the unit disk, the main result is the confirmation of two conjectures of T. Kriete, which appeared in . I also construct, in the final chapter, inner functions which map one arbitrary weighted Bergman space into another.\n|Item Type:||Thesis (PhD)|\n|Research Areas:||B. > Theses\nA. > School of Science and Technology > Design Engineering and Mathematics\n|Depositing User:||Dr Matthew M Jones|\n|Date Deposited:||25 Nov 2009 07:52|\n|Last Modified:||13 Oct 2016 14:16|\nActions (login required)", "label": "Yes"} {"text": "...I have been teaching and researching high school, college and graduate school math, science, and engineering for more than 20 years. Currently I am teaching high school Calculus II. I enjoy teaching all level mathematics. (read more)\n...At Florida State University, I completed a 3000 level genetics class and a 4000 level molecular biology class with grades of B and A, respectively. I also completed the first year MGC (molecules, genes, and cells) class at SUNY Stony Brook School of Medicine. I received an HP (high pass).\nSome... (read more)", "label": "Yes"} {"text": "Computerized voice: Click the triangle. Triangle.\nInterviewer: Advancing that knowledge also means bringing technology into the equation. Building Blocks incorporates the use of technology in the classroom. Why?\nDr. Sarama: It offers the advantage of giving one more environment in order to work with the concepts we're talking about. So, yes, we want children counting stairs, we want them counting blocks, we want them counting each other, we want them counting everything. Being on the computer and counting the things on the screen is just one more environment, and we can structure the technology-- and this is very important--to support children's counting wherever they are developmentally.Cerrar\nEste video es parte del módulo Uso de los medios interactivos para el aprendizaje temprano, uno de los que conforman la serie de Módulos de aprendizaje de la Alianza EarlyEdU (video en inglés).", "label": "Yes"} {"text": "The distribution of generalized exponential was invented by Rameshwar D. Gupta and Debasis Kundu in 2007. The distribution was the result of a generalized transformation of the exponential distribution. This paper explained the generalized exponential Marshall-Olkin distribution which is the result of the expansion of the generalized exponential distribution using the Marshall-Olkin method. The generalized exponential Marshall-Olkin distribution has a more flexible form than the previous distribution, especially in its hazard function which has various forms so that it can represent survival data better. The flexibility characteristic is due to the addition of new parameters to the generalized exponential Marshall-Olkin distribution. We explained some characteristics of the Marshall-Olkin generalized exponential distribution such as the probability density function (PDF), cumulative distribution function (CDF), survival function, hazard function, mean, and moments. Parameter estimation was conducted using the maximum likelihood method. In the application, it was shown data with generalized exponential Marshall-Olkin (GEMO) distribution. The GEMO distribution was modelled to the waiting time data until the damage to a lamp. The data was taken from Aarset data (1987). The results of modelling the waiting time data until the damage to a lamp on the distribution of GEMO and was compared to the distribution of alpha power Weibull. A comparison of models using Akaike information criteria (AIC) and Bayesian information criteria (BIC) shows that the distribution of GEMO is more suitable in modelling the lamp damage waiting time data than the distribution of alpha power Weibull.\n|Journal||Journal of Physics: Conference Series|\n|Publication status||Published - 12 Jan 2021|\n|Event||2nd Basic and Applied Sciences Interdisciplinary Conference 2018, BASIC 2018 - Depok, Indonesia|\nDuration: 3 Aug 2018 → 4 Aug 2018\n- Generalized transformation\n- Hazard function\n- Maximum likelihood estimation", "label": "Yes"} {"text": "30 Aug Low tech but great tool-Draftsman\nEven though I appreciate technology, it is important to remember there are low-tech tools that help our learning process immensely.\nClick Draftsman Tactile Drawing Board by APH.org to see what students can use to practice their print letters and handwriting. These boards can also be used in math class. Students can draw what the math teacher is drawing and follow along with the class. The boards are also used to draw pictures and diagrams, hey even a game of tic-tac-toe!", "label": "Yes"} {"text": "I am not sure how to calculate my LSTM weights based on this link and my Keras programing as below:\nmodel = Sequential() model.add(LSTM1(A1, input_shape=(2,B1), return_sequences=True, stateful=False)) model.add(LSTM2(A2, return_sequences=True, stateful=False)) model.add(LSTM3(A3, return_sequences=False, stateful=False)) model.add(Dense(B2, activation='softmax')) model.summary()\nIs that correct?\nInput = A1 Output = B2 Hidden Layers = 2 Cells in layer number one = A2 Cells in layer number two = A3\n4*ni*(ni−1+ni) for each layer is calculated as below: X1=4*A1*(A1-1+A1) X2=4*A2*(A2-1+A2) X3=4*A3*(A3-1+A3) X4=4*B2*(B2-1+B2) Total number of weights = X1+X2+X3+X4\nAll my problem is about understanding the concept of cell in Keras and not in LSTM itself.", "label": "Yes"} {"text": "Friday Lunch Seminar\nSeptember 11, 2020\n12:15 〜 13:00\n(On-line for CiNet members only)\n“Data-driven modeling of nonlinear dynamics: From mode decomposition to interaction analysis”\nby Yoshinobu Kawahara\nInstitute of Mathematics for Industry, Kyushu University and Advanced Intelligence Project\nHost PI: Okito Yamashita\nData-driven modeling of complex systems has received much attention over the recent years, largely due to the availability of large datasets. In particular, the analysis of nonlinear dynamical system with Koopman operator has been actively discussed in applied mathematics and various scientific fields for this purpose. This is because it can provide physical interpretations of the dynamics based on deep theoretical backgrounds and is endowed with prominent estimation methods such as dynamic mode decomposition (DMD). DMD is a numerical method for estimating spectra of Koopman operator, and has been attracting attention as a way of obtaining global modal descriptions of nonlinear dynamics from data without requiring explicit prior knowledge. In this talk, I first overview the recent advances on this research topic, focusing on spectral analysis of dynamical systems with Koopman operator and DMD. Then, I describe several recently-proposed related algorithms using machine learning principles. One limitation of DMD is that it assumes inherent-scale spatial or temporal dynamics independently contribute to its whole dynamics, which is often not satisfied in dynamic phenomena investigated in scientific studies. Thus, I describe a neural network model to estimate interactions among different scale dynamics to address this issue. In the talk, I occasionally show some applications of these method to several real-world data.\nAbout CiNet’s Friday Lunch Seminars:\nThe Friday Lunch Seminar is CiNet’s main regular meeting series, held every week at 12:15 in the beautiful main lecture theatre on the ground floor at CiNet. The talks are typically 40mins long and orientated towards an inter-disciplinary audience. They are informal, social, and most people bring their own lunch to eat during the talk. They are open to anyone who is feeling curious and wants to come, regardless of where you work.", "label": "Yes"} {"text": "What is PTC Mathcad Prime Crack With Serial Key 2022?\n||PTC Mathcad Prime Crack\n||Science / CAD\n||v 17.7 (x64)\n||Crack + Patch\nPTC Mathcad Prime Crack Total professional package is responsible for figuring out the mathematical stipulations. The application is ideal for engineering data to build the clocks automatically. The intricacies are reduced by it; you feel to allow the job or make. It is a means to undergo transparency. The prime variation suggests the significance of the simulation of mathematics.\nMathcad Prime Crack is graphing studying, assessing measuring projects using detail to comprehend exactly the PTC data, metadata, etc. using technical skills. The calculation is supported, warrant, and it lets you test the essential predictions. That is the engineering tool. Share, and it locates to reuse the data, including intellectual property. It is the center of codes, laptops, and presumes to find ways.\nWhat is The Purpose Of PTC Mathcad Prime Crack With Registration Key 2022?\nPTC Mathcad Prime is the most popular tool for engineers all over the world. More, it is basically created by math programming that enables the students to share their demands or assessments. In addition, it also provides the students with arithmetic or basic outline options for building. Further, it also provides you with a user-friendly interface that permits the architects to attain unique processing tasks. However, it also provides you the simple implementation and results. This tool also shows the units that know the math notation with the help of keystrokes.\nPTC Mathcad Full Version Crack Download is the world the best solution for those engineers who need to solve their math problems without spending time. PTC 2021 Mathcad is designed by math programming which can be used to solve and share your demands or assessments. It gives arithmetic or basic outline options of the building. It has a user-friendly interface that allows architects to achieve specialized processing tasks. Also, It has an effective design ability that is compensated by people without any effort. It allows direct scientific documentation or knowledge. It is employed in an engineering notebook that gives guaranteed CAD models.\nDoes PTC Mathcad Prime Crack With Registration Code 2022 have a user-friendly Interface?\nPTC Mathcad Crack is a new engineering software in the field of complex mathematical calculations. As you know, the advancement of technology has led many sciences to progress much more rapidly toward evolution. For example, today’s computer systems are widely used in complex mathematical calculations. Since mathematics is rooted in many engineering disciplines, it’s almost impossible to do many of these calculations without the use of computer software nowadays.\nPTC Mathcad Crack is a useful tool that enables you to solve mathematical problems without any difficulty. PTC Mathcad Express is a money and time-saving tool. More, it is an impressive tool that modifies into a frame that is cleared by people. In addition, this tool also provides you with live scientific documentation or unit knowledge. However, it also gives you surety about the outline determination of CAD samples which is recorded or protected. Further.\nAlso Like This:\nWhat are the Key Features of PTC Mathcad Prime Crack With License Key 2022?\n- This tool enables you to import important data.\n- Export data features are also available.\n- Manage scientists’ calculations.\n- Engineering calculation.\n- More, you can also import MS document data.\n- Graceful product developments.\n- It also supported the drag-and-drop features.\n- Latest interface.\n- Analytical touch.\n- It best utilizes numeric calculation.\n- More, it created the worksheet.\n- Best resolving calculation tool.\n- It also gives the correct calculations.\n- You can also insert the brackets here.\n- All the Mathematical signs were inserted.\n- CAD Geometry.\n- It can also scan the import data.\n- Further, it also resolves the algebra equations.\n- It also provides you with the latest layout.\n- Very simple calculation.\n- In addition, the simple process.\n- Further, this tool works very smoothly and intelligently.\nWhat’s New in PTC Mathcad Prime Crack 2022?\n- Advanced level amount of mathematical conditions and solutions included in clicks\n- The PTC precise word scheduling also implements accurate calculations\n- A new engine with more capabilities\n- Enhanced 2D plotting capabilities\n- Other bug fixes and improvements\n- A technology program lets you execute more tasks\n- The additional solutions use an entire design\n- Obtain the complete variation to solve and safely manage engineering tasks\n- A terrific internet designing application simplifies crucial functions\n- Easily convert the errors for assessing\n- A terrific interface using 2D, and 3D plots\n- Read documents and utilize the standard notation\n- PTC MathCAD 5 sequential variant will be available to vandalize mathematics formats of files anywhere\n- You’re able to incorporate worksheets directly\n- It’s a core degree of attention to browse, provide more information, figure out the effect, and declare student data\n- MathCAD Pro allows exhibiting your calculation together using plots and building the written writing, and graphics at one location.\n- Windows 7/8/8.1/XP/Vista.\n- A 700 MHz multi-core processor is needed.\n- RAM 512 MB is the best.\n- Screen resolution 1024 x 768.\n- Free hard disk space 1.6 GB\nHow to Install, and Activate PTC Mathcad Prime Crack 2022?\n- First download from the given link or button.\n- Uninstall the Previous Version with .\n- Turn off Virus Guard.\n- Then extract the RAR file and open the folder (Use or to extract).\n- Run the setup and close it from everywhere.\n- Open the “Crack” or “Patch” folder, copy and paste it into the installation folder and run.\n- Or use the serial key to activate the Program.\n- Please Share it. Sharing is Always Caring.\n- Thanks for Downloading 🙂\nAlso, you may like:\nPTC Mathcad Crack + License Key Free Download 2022 From Links Given Below!", "label": "Yes"} {"text": "How do you draw the branches of a tree?\n- Draw one side of the tree.\n- Add the other side.\n- Turn it into a Y shape.\n- Draw two larger branches below.\n- Draw two more branches below.\n- Add random shorter branches.\n- Draw a bumpy tree line around it.\n- Add details, ground and clouds.\nWhat is a tree diagram in probability?\nTree diagrams are a way of showing combinations of two or more events. Each branch is labelled at the end with its outcome and the probability is written alongside the line. To work out the probabilities of each combination, multiply the probabilities together.", "label": "Yes"} {"text": "Statistics and mathematics, are among the most difficult subjects students get assigned in High Schools, Colleges or Universities on a regular basis. EssayPlant.com helps you with Math and Statistics assignments by quickly and efficiently solving the problems and coursework/homework. So, what do we mean by statistics and math help?\nMath and Statistics tutors:\n1. University graduates who hold at least a Master’s degree in statistics/mathematics.\n2. Professional statisticians working in major companies across the country.\n3. College and university math and statistics professors who get employed by EssayPlant.com on a part-time basis.\nThe topics our math department covers are the following:\nAbstract Algebra, Algebra, Analysis, Applied Mathematics, Arithmetic, Calculus, Cellular Automata, Combinatorics, Complex Analysis, Computational Geometry, Computational Science, Computer Algebra / Cryptology, Genetic Algorithms, Differential Geometry, Discrete Mathematics, Dynamical Systems, Fluid Dynamics, Fourier Analysis & Wavelets, Fractals, Geometry, History of Mathematics, Industrial Mathematics, Linear and Matrix, Algebra, Linear & Nonlinear Programming, Logic & Set Theory, Mathematics Education, Mathematical Biology, Miscellaneous, Multivariable Calculus, Nonlinear Dynamics, Number Theory, Numerical Analysis, Ordinary Differential Equations, Partial Differential Equations, Pre-Calculus, Probability Theory, Statistics, Topology, and Trigonometry.\nThe topics our Probability and Statistics department covers are the following:\nBayesian Analysis, Nonparametric Statistics, Statistical Asymptotic, Descriptive Statistics, Probability, Statistical Distributions, Error Analysis, Random Numbers, Statistical Indices, Estimators, Random Walks, Statistical Plots, Markov Processes, Rank Statistics, Statistical Tests, Moments, Regression, Time-Series Analysis, Multivariate Statistics, Runs, and Trials.\nIf your assignment falls within the math or statistics topics shown above, it can be done by EssayPlant.com professional mathematicians, statisticians or “math writers”. To know the price, please do the following:\n1. Go to the Contact Us page.\n2. Input your contact name, email, and the assignment.\n3. Click submit button.\n4. Wait for Essayplant.com to respond with the price ticket and due dates.\n5. After you receive the confirmation proceed to the Order page, pay for the math or statistics order through SWREG or Alertpay and have the assignment done in high quality and on time.\nIt is because each math or statistics assignment is unique and specific, you need check with our math/statistics department. After all, no one wants to pay extra if the price was uniform for high school, college or Master’s level math/statistics assignments and coursework.\nDo not procrastinate place an inquiry or order your statistics and math help now!", "label": "Yes"} {"text": "Projects per year\nWe study a class of symmetric critical points in a variational 2D Landau-de Gennes model where the state of nematic liquid crystals is described by symmetric traceless 3×3 matrices. These critical points play the role of topological point defects carrying a degree k/2 for a nonzero integer k. We prove existence and study the qualitative behavior of these symmetric solutions. Our main result is the instability of critical points when |k|≥2.\n|Number of pages||22|\n|Journal||Annales de l'Institut Henri Poincaré (C) Non Linear Analysis|\n|Publication status||Published - 16 Apr 2015|\n- Liquid crystal defects\n- Nonlinear elliptic PDE system\n- Singular ODE system\nFingerprintDive into the research topics of 'Instability of point defects in a two-dimensional nematic liquid crystal model'. Together they form a unique fingerprint.\n- 1 Finished\n16/09/13 → 15/03/17", "label": "Yes"} {"text": "Wedges and the Half-Space\nStructures that can be idealized to wedges are found at every scale from mas-sive gravity dams to gear teeth. Moreover, for wedge angles greater than 90_, no strength-of-materials type analysis is possible and only for very small angles should we expect such simplified analysis to give even a decent approximation. Therefore, as for thick rings and plates with small holes, two-dimensional solutions from elastic field theory are mandatory for the design of such structures.\nConcentrated Loadings at the Apex\nConsider first a wedge of angle 2_ in plane stress such as shown in Figure 8.1 with an axial load, P, at the apex. If the wedge angle were very small, then we might expect . Let us assume, then, a stress func-tion of type III:\nBut we know the stresses must be symmetric with θ and the first term gives nothing so, through this physical reasoning process, we can deduce that:\nA comparison of σx from the elasticity solution to the average value σx = P/A is shown in Figure 8.1b. We see that only for small wedge angles is the strength-of-materials approximation adequate.\nThis solution when applied to the half-space is particularly important as it corresponds to the punch or bearing capacity situation. It also serves as one of the fundamental building blocks for 2D boundary-element modeling. The result for ϕ2 = π, often called the Flamant Solution,\nis shown in Figure 8.1c. The stresses die off as 1/r and the isopachics and iso-chroniatics (contour lines of equal σ1 + σ2 and σ1 - σ2) are identical circles:\nThe load, P, must actually be distributed over a small “circular” area near the apex in which plastic flow takes place redistributing the stress to its yield\nvalue at r=ryield. Outside this plasticized zone the strains can be computed from the stresses using the elastic relationships and integrated to determine displacements.*\nFor a vertical transverse load Q at the apex, the reasoning is similar. For a very small wedge angle, we would expect that σr == σx == My/I where, as shown in Figure 8.2, M = Qr, y = rθ, and I = (2rφ)3/12. Therefore σ r =3Qθ/2rφ3 , so again the radial stress dies off as 1/r and we should assume m = 1 in the stress function (a). In this case, however, since there is bending and no axial force, only the asymmetric terms apply. The term Crsinθ gives no stress and therefore:\nThe boundary conditions like the overall moment and axial-force equi-librium requirements are already satisfied in Region R but to satisfy vertical equilibrium:\nFor any significant wedge angle, a strength-of-material approximation is unsatisfactory. For the half-space, Q becomes a concentrated shear producing radial stress bulbs,\nas shown in Figure 8.2c. They are identical to those for P but 90o out of phase.\nClearly the solutions for concentrated line loads P and Q at the apex of a wedge can be superimposed to give the field for a line load at any inclination. Moreover, a line load within an “infinite” elastic body (ϕ=π), sometimes called the Kelvin Problem, can also be solved.*\nFinally let us solve for the stresses in a wedge with a concentrated line moment at the apex (Figure 8.3). Again, considering a narrow wedge with ϕ\nso that the strength-of-materials approximation breaks down quickly for significant wedge angles. The compar-ison of normal stress is similar to that for a transverse load in Figure 8.2b, but the shears are very different. More significant, perhaps, is that the field is highly localized near the point of application since the stresses induced by the moment die off as 1/r2 compared to 1/r for a concentrated load.\nFor larger wedge angles the solution is suspect. At 2ϕ=257.4o the denominator sin2ϕ = 2ϕcos2ϕ goes to zero and the solution blows up. Sternberg and Koiter term this ambiguity in the two-dimensional solution for a line moment on a wedge for 2ϕ>πa paradox, which they do not entirely resolve. We shall see that such ambiguity is present in a number of wedge solutions and that all questions in “simple” two-dimensional elasticity theory are not yet answered.\nA tapered Epoxy beam (wedge) in plane stress is loaded by shear trac-tions of s on the upper face and -s on the lower face as shown. The stress function F = Ax2 - By 2 is proposed. Evaluate A and B and show that this is the solution. Are the support conditions appropriate? For v = 1/3, E = 200,000 psi determine the deformed shape of a 60o wedge (2ϕ=60o) if l=10 ft. for s=10,000 lb/ft per inch thickness. Sketch the deformed shape.", "label": "Yes"} {"text": "Math Tutor DVD - Calculus Help: The Calculus 3 Tutor: Volume 2\nEnglish | XviD 761 Kbps, 640x386, 29.97 fps | MP3 96 Kbps | 3.6G\nCalculus 3 is considered by most to be a very difficult course to master in the realm of Calculus. This is because you will learn about many different topics, and each topic builds on the previous. If you don't understand something early on, the chances of \"catching up\" are drastically reduced as time goes on.", "label": "Yes"} {"text": "British Columbia should look to the East for lessons in how to teach math and science because its current approach is not preparing students for the modern world, says a group of Chinese-educated tutors who are lobbying for curriculum change.\nThe tutors, who have formed the Educational Quest Society, say they have valuable insight because they were educated in China, earned graduate degrees in the West and have worked for many years in Metro Vancouver as private tutors. In their dealings with struggling students, they say they learned about the inadequacies of the math and science curriculum in K-12 schools.\ntap here to see other videos from our team.\n“It’s weak and getting weaker,” said Sharon Shen, who owned and operated a tutoring school called Elite Education Centre in Burnaby and Richmond for more than a dozen years before her recent retirement. “We feel there is a crisis.”\nAlthough B.C. teachers do not agree, John Yuan, also a society member, said he began noticing a drop in math standards in particular 10 years ago and now sees many students who lack a basic foundation. They make simple mistakes, such as thinking that 7.52 is larger than 7.9, he said.\nFor proof of a performance decline, the society points to the latest results from the Pan-Canadian Assessment Program (PCAP), which tested the math skills of 32,000 Grade 8 students from across the country in 2010. While those in Quebec, Ontario and Alberta had results equal to or above the Canadian average, B.C. participants fell below.\nRankings are not as important as the message they send, the society says. International assessments focus on the skills students need for life in the modern world and thus the scores “are actually indicators of our children’s future and (the) competency of our economy in the world.”\nThe society says there are many important differences between B.C. and China when it comes to teaching math and science, and those have led to runaway success for certain Chinese students in international assessments. For example, Chinese schools place greater emphasis on basic concepts, assign more homework and employ teachers with special math training (which is not the case in B.C. elementary schools).\nBut its main beef is with a recent education ministry decision to drop all Grade 12 provincial exams except English 12 or its equivalent. That, according to the society, has had a negative impact on educational standards, student motivation, teacher enthusiasm and public accountability.\nJerry Mussio, an education consultant who was Canada’s representative in the development of the Programme for International Student Assessment (PISA) between 2000 and 2004, has also issued a warning about B.C.’s declining standards and international assessment results and shares the society’s dismay over the loss of many provincial exams.\nBut he said China, which emphasizes rote learning from textbooks, could also learn from B.C.’s concentration on problem solving and creativity. During a meeting with society members earlier this month, he noted the ministry is reviewing the Grade 12 graduation program as part of the B.C. Education Plan and urged them to join the discussions.\n“We’re always trying to improve the curriculum, but we’re not going to satisfy every stakeholder group.”\nA new math curriculum has been implemented over the past two years and introduced in Grade 12 only this year. Therefore, he said any complaints about the competencies of senior students would pertain to the old curriculum, not the new one.\nWhile the new curriculum isn’t perfect, it is better than the old one, he said, noting that it emphasizes understanding concepts, not memorizing formulas.\nBecker acknowledged that China places more weight on math education than Canada does, but said that isn’t necessarily positive, especially if it means young children are over-burdened with homework. “It might be a little bit better for their understanding of raw facts and mathematical (concepts), but we’re also trying to create students who are productive in whatever field they choose.”", "label": "Yes"} {"text": "Modern problems of mechanics, Collected papers\nProceedings of the Steklov Institute of Mathematics, 2016, vol. 295, 351 pp.\nThe volume presents studies on various issues in mechanics and dynamical systems theory, including the self-similar piston problem in a Prandtl–Reuss elastoplastic medium with special properties, homogenization of acoustic equations for a heterogeneous layered medium consisting of creep materials, spectral stability of shock waves in singular limits of smooth heteroclinic solutions to an extended system of equations, and stability of periodic orbits of a planar Birkhoff billiard. The problem of Arnold diffusion, dynamics of nonholonomic systems, integrable systems in analytical mechanics, and problems of the KAM theory in infinite-dimensional Hamiltonian systems are also discussed.\nThe volume is of interest to researchers, postgraduates, and students specializing in analytical mechanics and continuum mechanics.\nKozlov V. V., Sergeev A. G., Modern problems of mechanics, Collected papers, Proceedings of the Steklov Institute of Mathematics, 2016, vol. 295, 351 pp.", "label": "Yes"} {"text": "Hi guys in this problem we have X one X two and up to X. M be a sample from an exponential distribution with parameter lambda. So it can be shown that to Lemaitre times some nation over I from one to end for X. I has a tai chi squared distribution with two N degrees of freedom. So we use this fact to drive a test statistics and critical region for testing such that each note the null hypothesis lambda equals lambda. Note against the alternative hypothesis such as that llamada is less than La Madonna. Okay, so it's given that statistic statistics is uh to limit the times is a submission of X. I. Which has a chi squared distribution with two and degrees of freedom. So if this is true, F H note is true. Obviously we are going to reject each note for extreme values for statistics. Okay, for the one sided alternative, we must think carefully about which deal of the distribution to use. Should we be rejecting? It's not for every large or very small values of the test. So under the alternative hypothesis, um we have two llamada times as a submission for X. I from R equals one to end has a chi square distribution. So this sequins lama donald over llamada times two lambda. Times submission of X I from R equals one to end. And lambda over llamada note over a kilometer. There's more than one. Okay, so we expect to get large values of the test statistics under each one. Okay, so we therefore reject each note in favor of each one. Such that llama to less than la Madonna. Statistics statistics we see it's it's appropriate other percentage point of the chi square distribution. So the critical value is chosen to obtain the specialized type one error probability. So we'll let X square of alpha over to an M denote the upper 100 alpha percent a percentage point of excess square distribution. Okay so that assuming that each note is true. Therefore our test is to reject each note. Okay so the critical region for the test such that X note of alpha and to end and infinity. Okay then we consider the right tail. Test that test it's note lambda equals lambda and all against each one. Such a debt llamada moors and llama donut. Okay again statistics statistics is um to la Mcdonald times assassination over X I from equals one to end. Right. Okay. Which has a chi squared distribution with two n degrees of freedom of each note is true. So applying the same process as in the first part we conclude that appropriate to reject its nose for some very small values of statistics statistics then the critical value is now that lower down 100 alpha percentage point. So it's X squared of one minus alpha over two. Yeah. Yeah it's one over alpha and to em okay it's not all for over two of the chi square distribution was two and degrees of freedom. So that probability of to lambda and the submission from equals one to end for X. I. Um This is less than X squared for one minus alpha and two and it's alpha. Okay, assuming that it's not, it is true. Okay. So we reject it's not uh this value and the critical region for the test from zero two X squared of one minus alpha and to end. Okay, okay. Them for the last part of the problem we consider the two tail test. That's the test. Each note lambda equals lambda node against each one. Such as that llama. That does not equal la Madonna. Again, that is the statistics to lambda note times the submission for X Y. Which has a chi square distribution with two and degrees of freedom. Okay, so if each one is true in this case is a critical values are ah x squared of alpha over two and um and next one squared X. Described of one minus alpha over two and two. And so the upper and lower limits are 100 alpha over two percentage points. Of the chi square distribution was two and degrees of freedom. Okay, so let's find the probability of X squared of one minus alpha over two and two and it's less than or equal to land an old times submission from I equals one to N for X I and less than or equal X squared off also over two and two. And so it's one minus. Okay, now we reject it, know what if the test, the statistics falls outside this interview, that is. We reject each not in favor of each one if, either to lambda times as a submission ah for X. I less than X squared of one minus alpha over two and two and over the second part to limit the note times and submission for X I from I equals one to enter more than X squared of also over to and two. And okay, that's it.", "label": "Yes"} {"text": "Good morning. Today will be another big one in London — we'll have a preview of the action in a jiffy. For now, here are some stories that caught our eye:\n- The London Olympics are a ratings hit, as NBC's coverage has broken records. \"Through the weekend NBC averaged 35.8 million viewers in London, five million more than Beijing, and over a million more than the previous record-holder, Atlanta,\" says the TVNewser blog.\nMorning Editioncatches up today with one New Jersey mom's way of teaching math to her children: bedtime problems \"that soon became a beloved routine.\"\nLaura Overdeck, as it says on her Bedtime Math website, \"along with her husband, John, started giving math problems to their two older kids. ... [And] when their 2-year-old started hollering for his own math problem, they knew they were onto something.\"", "label": "Yes"} {"text": "« AnteriorContinuar »\n174. Hence we conclude that we may transpose a term from one member of an inequality to the other, provided we change its sign. Thus, suppose\na? +62>362—2a. Adding 2aż to each member of the inequality, it becomes\na? +62+2a2>362. Subtracting b2 from each member, we have\na2 + 2a > 312-22,\n175. 2d. If we add together the corresponding members of two of more inequalities which subsist in the same sense, the resulting in. equality will always subsist in the same sense. Thus,\n7> 3 Adding, we obtain 16>9.\n176. 3d. If one inequality be subtracted from another which sudsists in the same sense, the result will not always be an inequality subsisting in the same sense.\nTake the two inequalities 4<7 and\n2 <3 Subtracting, we have 4-2<7–3, or 2<4, where the result is an inequality subsisting in the same sense. But take\n6< 8 Subtracting, we have 9-6>10–8, or 3>2, where the result is an inequality subsisting in the contrary sense.\nWe should therefore avoid as much as possible the use of this transformation, or, when we employ it, determine in what sense the resulting inequality subsists.\n177. 4th. If we multiply or divide each member of an inequality by ihe same positive quantity, the resulting inequality will subsist in the same sense.\npose we have\nHence an inequality may be cleared of fractions. Thus, sup\n2d 3а Multiplying each member by bad, it becomes\n178. 5th. If we multiply or divide each member of an inequality by the same negative number, the resulting inequality will subsist in the contrary sense.\nTake, for example, 8>7.\nMultiplying each member by —3, we have the opposite in. equality\n-24 <-21. So, also,\n15>12. Dividing each member by -3, we have\n-5<-4. Therefore, if we multiply or divide the two members of an inequality by an algebraic quantity, it is necessary to ascertain whether the multiplier or divisor is negative, for in this case the resulting inequality subsists in a contrary sense.\n179. 6th. If the signs of all the terms of an inequality be changed, the sign of inequality must be reversed.\nFor to change all the signs is equivalent to multiplying each member of the inequality by –1.\n- 180. Reduction of Inequalities. The principles now established enable us to reduce an inequality so that the unknown quantity may stand alone as one member of the inequality. The\nother member will then denote one limit of the unknown quantity.\nEXAMPLES. 1. Find a limit of x in the inequality\n7 53 95\n6 412 Multiplying each member by 12, we have\nx <9. 2. 2x+ -8<6.\n5x 4 3. 3x-2>\n12 Ans. «>\n2 6. Given\nto find the limits of x. 50-15\n1 cc>2. Ans.\n<3. 7. A man, being asked how many dollars he gave for his watch, replied, If you multiply the price by 4, and to the product add 60, the sum will exceed 256; but if you multiply the price by 3, and from the product subtract 40, the remainder will be less than 113. Required the price of the watch.\n8. What number is that whose half and third part added together are less than 105; but its half diminished by its fifth part is greater than 33?\n9. The double of a number diminished by 6 is greater than 22, and triple the number diminished by 6 is less than double the number increased by 10. Required the number.\nINVOLUTION. 181. A power of a quantity is the product obtained by taking that quantity any number of times as a factor. Thus the first power of 3 is 3; the second power of 3 is 3 x 3, or 9;\n3x3 the fourth power of 3 is 3x3x3 x3, or 81, etc. Involution is the process of raising a quantity to any power.\n182. A power is indicated by means of an exponent. The exponent is a number or letter written a little above a quantity to the right, and shows how many times that quantity is taken as a factor.\nThus the first power of a is a', where the exponent is 1, which, however, is commonly omitted.\nThe second power of a is a xa, or a?, where the exponent 2 denotes that a is taken twice as a factor to produce the power\nThe third power of a is axaxa, or a', where the exponent 3 denotes that a is taken three times as a factor to produce the power aaa. The fourth power of a is axaxaxa, or a*.\nAlso the nth power of a is a xaxaxa, etc., or a repeated as a factor n times, and is written an.\nThe second power is commonly called the square, and the third power the cube.\n183. Exponents may be applied to polynomials as well as to monomials. Thus (a +b+c)3 is the same as\n(a+b+c)(a+b+c) (a+b+c), or the third power of the entire expression a+b+c.\nPowers of Monomials. 184. Let it be required to find the third power or cube of 2a352.\nAccording to the rule for multiplication, we have (2a’62)3=20°32 x 2a3b2 x 2a3b2=2 x 2 x 2aʼaʼa?l?6262=8aolo.\nIn a similar manner any monomial may be raised to any power.\nHence, to raise a monomial to any power, we have the fol. lowing\nRaise the numerical coefficient to the required power, and multiply the exponent of each of the letters by the exponent of the required power.\n185. Sign of the Power.-— With respect to the signs, it is obvious from the rules for multiplication that if the given monomial be positive, all of its powers are positive; but if the monomial be negative, its square is positive, its cube negative, it, fourth power positive, and so on. Thus\n-ax-a=ta, -ax-ax-ar-a, -ax-ax-ax-a=ta*, -ax-ax-ax -ax\n=-a, etc. In general, any even power of a negative quantity is positive, and every odd power negative; but all powers of a positive quan. tity are positive.\nEXAMPLES. 1. Find the square of 11a2bcd2.\nAns. 121a%b2c-24. 2. Find the square of -18xyz. 3. Find the cube of 7ab2c2. 4. Find the cube of - 8xy2z3. 5. Find the fourth power of 4ab2c3. 6. Find the fourth power of -5a3b2x. 7. Find the fifth power of 2ab3x2. 8. Find the fifth power of — 3ab2x*. 9. Find the sixth power of 3ab2x'.", "label": "Yes"} {"text": "A locally one-dimensional finite difference time domain method for the analysis of a periodic structure at oblique incidence\nArticle first published online: 9 SEP 2011\nCopyright 2011 by the American Geophysical Union.\nVolume 46, Issue 5, October 2011\nHow to Cite\n2011), A locally one-dimensional finite difference time domain method for the analysis of a periodic structure at oblique incidence, Radio Sci., 46, RS0F03, doi:10.1029/2011RS004730., , , and (\n- Issue published online: 9 SEP 2011\n- Article first published online: 9 SEP 2011\n- Manuscript Accepted: 7 JUN 2011\n- Manuscript Revised: 25 MAY 2011\n- Manuscript Received: 31 MAR 2011\n- finite difference time domain;\n- locally one-dimensional;\n- oblique incidence;\n- periodic boundary condition\n An implicit finite difference time domain (FDTD) method is developed to analyze periodic structures at oblique incidence. The split-field technique is applied to the locally one-dimensional (LOD) FDTD method with the periodic boundary condition. In addition, the dispersion control parameters are introduced to reduce the numerical dispersion error. The effectiveness of the present method is investigated through the analysis of a photonic band gap structure. It is shown that the computational time is reduced to ≅16% of that of the explicit FDTD method with acceptable results being maintained. As an application, a broadband mirror consisting of a subwavelength grating is analyzed and discussed.", "label": "Yes"} {"text": "User Group Conference 2019\n- User Group Conference 2019\nThis year the teacher participation will happen at the end of each break-away in the format of sharing questions, answers and discussion among participants.\nThe NumberSense Mathematics Programme User Group Conference is being held on 10 and 11 May 2019, at the Avenue Conference Centre, V&A Waterfront in Cape Town.\nA quick preview of the programme:\n1. Pre-Conference session: Visits to the Western Cape Shikaya NumberSense schools to observe the implementation of the NumberSense mathematics routines in Grades 1-4 (limited to 80 participants on a first come, first served basis).\n2. Three break-away workshop sessions. This year the teacher participation will happen at the end of each break-away in the format of sharing questions, answers and discussion among participants.\nPlenary sessions to include:\n- The NumberSense Mathematics Programme – what it is and what it is not! Highlighting achievements and addressing misconceptions.\n- How the NumberSense Mathematics Programme begins preparing students for high school mathematics, from Grade R.\n- Developing mathematical reasoning, understanding and application.\n3. Networking activity: Using the GeoGenius Construction Kit to set a world record in geometry!\nAnd evening entertainment.\nPlease mail conference@NumberSense.co.za for further information.", "label": "Yes"} {"text": "To look at data for a class, choose CLASSES from the blue ribbon.\nChoose a class from the left column.\nClick on Mixed Review in the middle column.\nTo understand and interpret this data--\nThe pie chart on the left shows how many points the students earned in assignments compared to points earned in mixed review. For long-term retention, GMM recommends that students earn more points in Mixed Review than assignments.\nIn the circle graph, we recommend the green portion (Mixed Review points) be larger than the purple portion (assignment points).\nThis number is the number of squares the class has when working in Mixed Review.\nThe median number of days students take to spiral through the active skills.\nGMM recommends that this number is below 30 days.\nIf the number is too high, look at the Points Distribution and the number of Active Skills. Perhaps, students are not spending enough time in Mixed Review, or students have too many skills to complete. Consider deactivating some skills.\nCheck out this article on deactivating skills. https://intercom.help/get-more-math/en/articles/4523713-how-can-i-remove-skills-from-mixed-review-i-deleted-the-assignment-why-is-the-skill-still-in-my-student-s-mixed-review\nAccuracy (in the upper right corner of the screen)\nThe accuracy for the class is the average of the accuracy for each active skill.\nIn the report above, the 94% accuracy rate pertains to the 47 active skills. Accuracy is the percentage of time students answer correctly on the first attempt.\nThe proficiency for each skill is the percentage of students who are green, silver, or gold on a skill. This metric provides valuable information about the long-term retention of skills for a class.\nRemember that students must have a skill for at least three days and continue to answer problems correctly to change the color of a square to green; at least five days for silver; and for a longer period of time for gold.\nWhen viewing Proficiency, if students have had the skill for several days and have NOT changed the color of the square, consider re-teaching the skill with guided practice or provide more practice time in Mixed Review.\nView other columns by adding, or removing, using the manage columns button.\nAccuracy (for each skill) in a row\nThe accuracy of a skill is the average of the accuracy for each student who has tried that skill at least once.\nThe number of students who have not attempted the skill.\nThe number of students whose square is red for the skill.\nThe number of students whose square is yellow for the skill.\nThe number of students whose square is green for the skill.\nThe number of students whose square is silver star for the skill.\nThe number of students whose square is gold star for the skill.\nFor more information, contact us at email@example.com or click the green chat bubble.", "label": "Yes"} {"text": "KMV-Merton model Probability of Default represented by Jin-Chuan Duan, Genevi`eve Gauthier and Jean-Guy Simonato (2005).\nThis code calculates the probability of default based on Moody’s KMV where firms equity follows a geometric Brownian motion presented by Merton and the probability of default is calculated bas on European call option of the firms market value. Newton-Raphson method is used to calculate the equity value provided the volatility of the equity.\nNo updates, just added few comments to explain lines in the code.\nDownload apps, toolboxes, and other File Exchange content using Add-On Explorer in MATLAB.", "label": "Yes"} {"text": "At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.\nunpack \"L= 3 yds less than triple the W\"\nLength = 3 yards less than triple the Width\n\"triple with width W\" would be written as \\(3\\times W\\) or \\(3W\\)\n3 yards less than triple the width: \\(3W-3\\)\nso far so good?\nfor example, if the width was say \\(100\\) (which it is not, just an example) then the length would be 3 less than triple 100 or \\(300-3=297\\)\non how to figure out the Length\nok lets try this: we are forgetting everything but the line \"L= 3 yds less than triple the W\"\nonly focusing on that one suppose i say the width is 50 what is the length?\nif it is not clear, let me know and we can walk through it\nL = 147??\nand suppose the width is 25 what is the length?\nL = 72\nk good now we know what we are doing how did you get your answers?\noopss forgetting ft\ni don't see the mention of feet in the problem so lets assume the units are yards, and ignore feet\n3(25) - 3 = 3*25 = 75 - 3 = 72\nk good so if you know the width, you know the length how do you find it? multiply by 3, then subtract 3 if we replace \\(25\\) by the variable \\(W\\) then the equation tells you \\[L=3W-3\\] which is what \"L= 3 yds less than triple the W\" says in math\nok so that part is done now how about this part \" P= 450\"\nwe need an expression for the perimeter in terms of the width \\(W\\) and length \\(L\\) do you know it? (\"no\" is a fine answer, just asking)\nactually . no\nwouldn't it be p =l * w\nso since we have the Perimeter wouldn't we divide the L and W\nto get the Dimensions\nthat is an expression for the Area and as you see by your multiplication it comes in square units (2 dimension) if the width is 4 and the length is 3 yards, the area is \\(3\\times 4=12\\) square yards perimeter is a length, one dimension, a number of yards in this case\noooppps wouldn't we divide to get them?\nso no, it is not \\(P=LW\\) but rather \\(A=LW\\) we need an expression for the perimeter\nmeasure of the perimeter is the total length in this case it would be \\(10+10+15+15=50\\) or i could write (suggestively) \\[2\\times 10+2\\times 15=50\\]\nnow with this picture |dw:1377786057826:dw| what is the perimeter?\nyou have \\(P=W+W+L+L\\) which we would write as \\[P=2L+2W\\]\ngood so far?\nok now we know that \\(P=450\\) i.e. we know \\[2L+2W+450\\]\nand we also know that \\(L=3W-3\\) so we can replace the \\(L\\) in \\(2L+2W=450\\) by \\(2W-3\\) with judicious use of parenthese and get the equation \\[2(2W-3)+2W=450\\] which we can then solve for \\(L\\) because now there is only one variable used \\(L\\)\ntypo there sorry equation is \\[2(3W-3)+2W=450\\]\nfinal job, which will take a few steps, is to solve this for \\(W\\)\nshould we work through the steps?\nw = 8\nis that correct??\nthat is not what i get lets work through the steps\n\\[2(3W-3)+2W=450\\] first step is to multiply on the left using the distributive property \\[6W-6+2W=450\\] so far so good?\nok, that is what I got\nsecond step is to combine like terms on the left, i.e. add \\(6w+2W\\) to get \\[8W-6=450\\]\nok, that is what I got\nadd \\(6\\) to both sides and get \\[8W=456\\]\nthen I added 6 to 450\nk good last step?\nooppss ans. should be 57\nok good, that is the width, right now we also need the length\nI miss read my calculations. I switched the numbers around\nok did you get the length?\nso, we would put 3(57) -3 = L\nL = 168\nthat is what i get as well\nok, so the actual set up for the problem would be: 3w-3 = L; 2(3w -3) + 2w = 450; 6w - 6\n6w - 6 + 2w = 450; 8w = 456; 456/8 = 57 = W = 57; 3(57) -3 = L --- L= 168. Is that all my daughter needs to do to show her work for this type of problem??\nwow ok i am not sure what your sentence \"Is that all my daughter needs to do to show her work\" means lets go back and see what all we need first we need to know how to write \"L is 3 yards less than triple the width\" in math then we need to know the formula for a perimeter also we need to know how to substitute \\(3W-3\\) for \\(L\\) in \\[2L+2W=450\\] and finally we need to know how to solve \\(2(3W-3)+2W=450\\) for \\(W\\) the last part, finding \\(3\\times 57-3\\) is not much\nmy daughter has to show her work, and how the equation should be set up.\nshow her work to whom?\ni guess so i have no way of knowing what her teacher wants\nis sitting her with me and she did all the calculations except for the last one where I came up with 8 instead of 57\ni suppose she could ask her teacher what kind of work she wants to see\non line class?\nalgebra is hard to learn on line you have to do it all yourself, and it requires a lot of maturity good luck\nthanks. so far she is doing good. just this one question through her\nThank you so much for you help.", "label": "Yes"} {"text": "Here's the \"Troll Pi\" or \"Pi equals 4\" image.\nVideo Lectures, Video Courses, Science Animations, Lecture Notes, Online Test, Lecture Presentations. .\nA collection of free, web browser-based apps that aim to make mathematics intuitive for learners of all ages.\nTED is a small nonprofit devoted to Ideas Worth Spreading -- through TED.com, our annual conferences, the annual TED Prize and local TEDx events.\nThe Story of Mathematics - A History of Mathematical Thought from Ancient Times to the Modern Day\nYou don't have permission to access /home/wdj/art/hypotrochoid_R_equals_7,_r_equals_2,_d=3.gif on this server.\n(click to fire) | | | | |\nTwo trains are on the same track a distance 100 km apart heading towards one another, each at a speed of 50 km/h. A fly starting out at the front of one train, flies towards the other at a speed of 75 km/h. Upon reaching the other train, the fly turn...\nNeil Bickford calculated the first 458 million terms for the continued fraction of pi, breaking the previous record of 180 million. He used to develop his code and verify his results—which he posted shortly after he turned 13.\nThe #1 tool for creating Demonstrations and anything technical.", "label": "Yes"} {"text": "1.3 Evaluating Limits Algebraically part 2\nThis is the third lesson in the Limits Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opt to purchase the video lesson to the notes.\nIn this lesson students will learn 3 more methods on how to solve limits algebraically. They will learn basic substitution, how to evaluate infinite limits, and trigonometric limits. By the end of the lesson, students should understand how to recognize an infinite limit and determine whether the graph will head toward positive or negative infinity. They will also learn how to use the special sine and cosine trigonometric limit properties.\nI hope you find the notes easy to follow. Please feel free to offer any suggestions on how to make them better as well! Through a community of collaboration, we can better aid our students and their learning process.\nAll the best,", "label": "Yes"} {"text": "Dear Matthew Alice: My pa sez, if ya read it in the Reader, it gots ta be true. So I have enclosed the following example of mathematics [list of winners to Reader puzzle #869], and I’m confused by the results as stated. Is this some of the new math (e.g., 2+2 = 5 for all large values of 2), or am I missing links? It says 47% of the entries got the answer right, 53% got it wrong; “of the 87 entrants, 73 were correct,” but then it lists 23 incorrect answers received. But 87 minus 73 is 14; and 73 is 84% of 87, making 14 only 13% of 87. So if the “47% correct” is correct, and “53% wrong” is correct, and 87 is the total “sample,” making A = 41 and B = 46, what did I miss, and how did I miss it? — Carl Ferguson, San Diego\nWell, Carl, I’m sure everybody else is digging around for a pencil and paper, trying to figure out what’s going on, so in the meantime, I’ll say congratulations for submitting the only winning entry to Reader Puzzle #870, titled “What’s Wrong with Reader Puzzle #869?” Your prize is a year’s free subscription, if you don’t mind picking it up every week at the nearest convenience store. We tried getting it in the mail, but just couldn’t manage the nine-digit ZIP code. I think we were subtracting the last four digits from the first five, and the paper kept ending up in Virginia. We do like Pa Ferguson’s attitude and wonder if he’d be interested in filling a vacancy in the Reader puzzle department.", "label": "Yes"} {"text": "More Maths, or Better Maths?\nInteresting view from a Biosciences perspective about the recent recommendations to increase the number of students taking Mathematics at A-level.\nI’ve always had a problem with the way Statistics is taught at A-level, which is largely as a collection of recipes without much understanding of the underlying principles; would more emphasis on probability theory be a better way to go?\nThe introduction of post-16 maths is in the news again with a report from the House of Lords committee on Higher Education in STEM and many of the headlines from the Guardian, Independent and Times Higher have picked up on the recommendations regarding maths study post-16.\nI have written a few thoughts here on my first impressions but would very much welcome comments.\nThough I was pleased to see that some of my work showing that only GCSE maths is required for undergraduate biosciences was cited, the conclusion from this was that more students should take maths A level and this is a little worrying.\nThe lack, or low level, of maths requirements for admission to HEIs, particularly for programmes in STEM subjects, acts as a disincentive for students to take maths and high level maths at A level. We urge HEIs to introduce more demanding maths requirements…\nView original post 634 more words", "label": "Yes"} {"text": "Aveline Giulia October 1, 2020 Worksheets\nBetween the ages of 3 and 6 years, your child is capable of learning and absorbing more information than you can imagine. Advance his training with the use of preschool worksheets. These are very powerful tools to stimulate your child’s brain.\nDo choose worksheets that are appropriate for the child`s level, since children can get discouraged easily, if they are unable to perform the activity. Well illustrated worksheets with cartoons are also more likely to appeal to children. Worksheets that use common situations children come across at home, school, in the market place etc and that use common objects known to children would be more relevant.\nIn choosing a worksheet, it is important to review the source and check the material. Ensure that the material and answers are accurate. Evaluate the worksheet by completing it yourself. The worksheet should provide information clearly and accurately. Make sure it is exactly what you need to homeschool your child.\nThe math worksheet is not only for the young children in kindergarten and early primary school; they are also used for tutoring high school and university students to keep the students’ math skills sharp. The sites that offer these worksheets have helped a lot and this resource is now a common thing to use for all kinds and levels of educators. The formats for the worksheets differ according to the level and content of the worksheets. For the young kids it is preferable to have the worksheet in large print, while the older students commonly use the small print ones that are simple and uncluttered.\nAside from helping you assess your child’s comprehension of a subject matter, printable home school worksheets also provide something for your child to do while you work on other things. This means that you can be free to run your home while teaching your child at the same time, because the worksheet simplifies the homeschooling job for you.\nWriting worksheet is a new way for creation of a document by the teachers to promote the development of the writing skills amongst children. These worksheets are used primarily by teachers and parents. It is an effectual tool for assisting children to know the basic tactics to write.\nTag Cloudmatching worksheets number 2 worksheets for preschool math games for grade 1 and 2 free math sheets for 4th grade tutorial sites pandiwa worksheets pre k practice sheets is and are worksheets for grade 1 print math paper k5 learning math multiplication word problems worksheets 7th grade math skills 10th grade printable worksheets year 7 math worksheets algebra math lessons games for girls addition answer middle math multiplication year 5 worksheets third grade printable worksheets math in game design college algebra problems worksheet help solve my math problem best kids math algebra math calculator with steps kuta geometry math racing games grade 7 math problems with solutions", "label": "Yes"} {"text": "I’d like to state in advance that I have negligible familiarity with number representations, so please excuse any inaccuracies. I also enjoy getting rid of legacy systems.\nI have recently read an article which pointed out that one of the reasons COBOL is still somewhat prevalent in the banking and governmental sectors is that it used fixed point number representations, which are less prone to accumulating inaccuracies during the typical calculations these sectors use. (There are other factors of course as many languages let you use fixed point numbers with varying levels of difficulty by now.)\nThis article describes Muller’s recursion formula, which is a good example of this erratic behavior. This series should converge to 5, but using doubles it converges to a 100, after some hectic jumps. I wanted to try this with Julia’s types, so I wrote this code.\nmodule cobol using FixedPointNumbers mullers(y,z) = 108 - (815 - 1500/z)/y function recur(t,n) v = zeros(t, n) v[1:2] .= t[4, 4.25] for ii = 3:n v[ii] = mullers(v[ii-1], v[ii-2]) end v end end # module\nFloat64 it reproduces the behavior of other languages, as expected. With\nBigFloat it properly converges to 5. With\nFloat64.(recur(Rational,20)) it also converges to 5, but overflows before the double representation would reach it’s fixed point at iteration 29.\nWhat I am interested in (apart from your insights in general) is that by using a fixed point representation\nN41f23 it also erroneously converges to 100 (albeit differently than doubles - at least no sign change) - is there a way to do it right with fixed point representation that I haven’t found?", "label": "Yes"} {"text": "|University of Otago\n|Full text PDF:\nThis thesis shows the level at which reliable geoidal mapping is possible over a small area using the Global Positioning System (GPS), geodetic levelling and appropriate interpolation strategies. The geoid shape over an area 15kmx30km of Dunedin, New Zealand, was determined by the geometric approach (King et al, 1987) using almost 70 control points. Investigations were then made to determine the precision to which orthometric heights can be estimated within this area with various interpolation strategies. This was done by creating subsets of control points with various point densities. Experimental data sets were then generated by estimating the undulations at the points not selected as control. Quantitative analysis of the differences between estimated and known undulations was then carried out. The investigations indicate that: • Where average known undulation point spacing is between one and five kilometres, the mean error in the estimation using linear interpolation will vary by twenty millimetres. Any specific point may vary from the true value by up to fifty millimetres. • Where average known undulation point spacing is between five and ten kilometres, the mean error in the estimation using linear interpolation will vary by sixty millimetres. Any specific point may vary from the true value by up to 150 millimetres. • Low order polynomials (three to five independent variables) are not as good as linear interpolation when average known point spacing is less than ten kilometres.", "label": "Yes"} {"text": "|Math OER Zoom Room Textbook YouTube Distance Learning Tips|\nWhat playgrounds do is provide kids with a relatively safe way to learn about using their bodies to navigate the world—how to balance, how to get from here to there, what to do when you get stuck. In other words, how to solve problems in the physical world.\nAs I was watching my daughter, I realized that math too is a playground. But it’s not a playground for our bodies, it's a playground for our minds.\n- Jason Marshal\nHere are places you can use math to explore, analyze, and estimate without being expected to accomplish any specific goals or reach any specific answers. Just play!\nKids first engage with a physical playground when they see it. They start thinking about the slide, or the tire swing, or whether they could step from one place to another. Math playgrounds are less visual. So these explorations provide a little bit of descriptive guidance to help you \"see\" the math clearly as you approach.\nThere are suggestions: questions to think about, and challenges to attempt. But please do not treat these suggestions like homework problems. Approach the exploration in your own way.\nYou can explore alone. But playgrounds are more fun with friends.\nWith graph theory we explore math without numbers.\nWhich kinds of measurements make the best pattern for foot size and height?\nWhich of ten famous ideas would you pick to win a beauty contest?\nChallenge classmates to a math duel in the spirit of the dangerous world of 16th century algebra.\nWatch tradgedy unfold as error propagation wrecks estimation!\nThe start of term reflection helps you start the term with mindfulness and purpose.\nThe CLO reflection affirms that core learning happens in every class.\nThese big issues without right answers do not have any step-by-step guidance.\nYou are on your own, released from the rigor and expectations of the classroom to do real math.\nLearn the habit of using math to estimate and explore. Math can help make decisions even if there is no right answer. Issues like these are the \"icing on the cake\" that sweetens all the math skills and algorthms you have learned.\nPractice tests can be playgrounds too.\nDo not take them too seriously. Seldom do an entire practice test.\nInstead, do the first few problems. Try these again and again on different versions the same practice test. Work on good form. Enjoy affirming your mastery!\nThen add another one or two problems. Again, practice your form with a shorter to-do list.\nEventually you will have mastery over the entire practice test. But do not rush it.\nPractice mindfulness. You are working on good form by repeating a task with attentiveness to detail. Acknowledge the frustrations and the joys while not focusing on them.\nYour actual tests will look just like these practice tests—almost. For some problems, instead of creating answers you will be required to analyze already complete work to explain steps or find errors.\nTopic tests happen during class time. They teach you how to take a math test.\nThe first half of the class time focuses on solving problems using the characteristics of well-written step-by-step problems. Pretend this is a traditional math test where you work by yourself.\nThe second half of each topic test focuses on group collaboration to finish and fix answers. There will be a lot of valuable learning involving explanations out loud and pointing at each other's papers—two resources that will forever vanish! Capture this learning by making fixes to your scratch work, and by finishing any test problems you did not finish by yourself.\nEach group member should write his or her own fixes. Write your fixes and finishings distinctly. Use another color pencil, pencil versus pen, separate pieces of paper, clouds around the fixes, etc. The ability to clearly see which topics were difficult or promoted careless mistakes will help you be properly wary when studying for future tests.\nBefore the end of the day, text or email your instructor a one sentence study plan.\nThis study plan should include using helpful study skills and habits and be relevant to the problems you fixed or the problems your group answer inaccurately. It should describe how you will study before the next test. Optionally, it may also include reminders about improving test-taking technique.\nThe end result is a written record of which problems you need to study and your plan about how to study them. It also has every problem correctly solved in a step-by-step manner to be optimally helpful when studying for the final exam.\nThe end of term tests are simply larger collections of topic test problems.\nA high school math class is a bit like becoming a concert pianist. No one really sees or cares about your hours of practice. They watch you as you get up on stage at the end. You demonstrate your ability, by yourself, under pressure.\nIn graduate school, more assessment is oral exams. Instead of creating written answers privately, you stand at the chalkboard while your instructors ask you to do work similar to the practice tests. You do fewer problems, but are expected to be smoother. Sometimes this is a social gathering in which a group of students take turns demonstrating their mastery and celebrate afterwards.\nIn our class, as an undergraduate class, the end of term tests can use either format. The choice of format might be yours to make, or the instructor might assign you a format.", "label": "Yes"} {"text": "...I have also worked with students with similar issues in my private tutoring. I have successfully helped many students taking the ISEE to get scores required for their choice of private schools in my 15 years as an independent tutor. I am qualified in SSAT, a similar test.\nWaltham, MAView Tutor\n...During my forty-two year academic career, students of my Honors 1 Physics classes have averaged 732 on the SATII Physics examination. I have, during my career, been actively involved with the United States Physics Team, which competes internationally representing our country. Some of my students having been on that team.\nNewton Center, MAView Tutor\n...My creativity and an ability to connect math to real world applications, and dedication to my students are some of the things that set me apart as a teacher. I have my masters plus extensive additional coursework. With over 15 years experience teaching math, and science I am well versed in vari...\nWakefield, MAView Tutor\n...For Basic Logic, I can provide insight into: Set Theory, Relations, Quantifiers, Algorithms, Counting Methods, De Morgan?s Law, Logical Connectives, Truth Tables, and Relationships Between Statements. For Mathematical Logic, I can provide insight into: Terms and Formulas in First-Order Languages...\nSomerville, MAView Tutor\n...I have also taught introductory courses in first-order systems for engineers, and advanced calculus for engineers (which includes elementary partial differential equations, Fourier series, and Laplace transform methods for solving linear ODE's). I can help students with basic linear ODE's and wit...\nMedford, MAView Tutor", "label": "Yes"} {"text": "Stone Soup by Jan Eliot for August 27, 2013\n6 x 8 Gramma Evie: OK, let's do EIGHTS> Holly: @*%# Gramma Evie: Holly, I'm just trying to HELP. Math will be easier for you when you can do some of it IN YOUR HEAD. 6 x 8 Gramma Evie: So don't shoot the messenger. 8 x 6 = Holly: How about if I shoot the messenger IN MY HEAD?", "label": "Yes"} {"text": "Cristian Bereanu, Jean Mawhin, Departement de Mathematique, Universite Catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium, e-mail: mawhin@ math.ucl.ac.be\nAbstract: We use Brouwer degree to prove existence and multiplicity results for the solutions of some nonlinear second order difference equations with Dirichlet boundary conditions. We obtain in particular upper and lower solutions theorems, Ambrosetti-Prodi type results, and sharp existence conditions for nonlinearities which are bounded from below or from above.\nKeywords: nonlinear difference equations, Ambrosetti-Prodi problem, Brouwer degree\nClassification (MSC2000): 39A11, 47H11\nFull text of the article:", "label": "Yes"} {"text": "Angular size is a measurement of how large or small something is using rotational measurement. It is useful for measuring things that are so far away that they appear two dimensional.\nImages for kids\nAngular diameter: the angle subtended by an object\nDiagram for the formula of the angular diameter", "label": "Yes"} {"text": "The purpose of this study was to investigate the relationship between mathematics self-efficacy and mathematics achievement of high school sophomores across the United States, and to examine the effects of gender, ethnicities, and school characteristics on students’ mathematics achievement using hierarchical linear modeling (HLM). The base-year data of the Educational Longitudinal Study (ELS): 2002 were used for analysis. Hierarchical linear models were developed from the one-way random effects ANOVA model, and the unconditional Model with mathematics self-efficacy in level 1, to the contextual models with variables in the both levels. Both fixed effects and random effects were estimated and interpreted for all the models.\nLiu, Xing and Koirala, Hari P., \"Hierarchical Linear Modeling of Students’ Mathematics Self-Efficacy and School Effects on Mathematics Achievement\" (2010). NERA Conference Proceedings 2010. 34.", "label": "Yes"} {"text": "In this unit of work we link the development of skip-counting patterns to bars on a relationship graph. We also plot our skip-counting patterns on a hundreds board.\n- Continue a skip-counting pattern.\n- Describe skip-counting patterns.\n- Use graphs to illustrate skip-counting patterns.\nIn this unit we look at skip-counting patterns. These are patterns obtained by adding the same, constant, number to make the next number every time. So the difference between any two terms in a skip-counting pattern is the same. This is a good exercise to help reinforce the various concepts relating to pattern. In particular, it helps us to understand the idea of a recurrence relation between consecutive terms.\nBut this exercise has two other links. First it links algebra and statistics by using a bar chart to represent the skip-counting pattern. It is worth remembering that there are many links in mathematics.\nAnd second, skip-counting patterns are also called arithmetic progressions. In secondary school these are considered again and expressions for both the general term of the progression and the sum of all of the numbers in the progression are found. These are both reasonably simple algebraic expressions.\nLinks to Numeracy\nThis unit provides an opportunity to develop number knowledge in the area of number sequence and order, in particular development of knowledge of skip counting patterns. It can also be used to focus on the development of strategies to solve multiplication problems.\nOnce students have created bar graphs of the relationships, help them to focus on the number patterns involved by creating tables. For example:\n|Number of Beetle Wheels|\n|Number of Beetles||\nNumber of Wheels\nAs students create tables, focus their attention on the patterns that emerge and pose questions about the continuation of the patterns. Use of a hundreds chart will help students visualise the number patterns more easily and help them to predict which numbers will be part of the patterns. Patterns of 2, 5 and 10 are a good place to start but for students that are coping well you can make it more difficult by using larger numbers. For example, if there were 7 friends in each beetle, how many people would there be in 2 beetles? 3 beetles? What about 10 beetles?\nWorking with larger numbers of beetles (or other items) will help students develop strategies to solve multiplication and division problems. Encourage students to talk about the way they are solving these problems. Are they using materials, repeated addition or can they derive some of the answers from known multiplication facts?\nQuestions to develop knowledge / strategy use:\nWhat number comes next in this pattern?\nHow do you know?\nWhat number will be before 24 in this pattern? (or another number as appropriate)\nHow do you know?\nWhat is the largest number you can think of in this pattern? How did you work it out?\nHow many wheels will there be on 5 beetles? 10 beetles? How did you work it out?\nIf there were 48 wheels in a car park how many beetles would there be? How did you work it out?\n- Squared paper for graphing\n- Picture of VW beetle\n- Pictures of objects for exploration\nToday we explore the pattern of 4s by counting the number of wheels on cars. We then use this information to build a relationship graph.\n- Ask: How many wheels does a beetle have?\n- Share ideas. Hopefully someone will link the beetle to the Volkswagen car rather than the insect or you may have to give a few more hints. Show students a picture of a VW beetle and discuss why it got this nickname (it is shaped like a beetle).\n- Using counters begin to develop a chart of the number of wheels to the number of cars.\n- Ask: How many wheels are there on 2 beetles?\nHow did you work that out?\n- It is useful for the students to listen to the strategies that others use. More advanced Level 1 students will be be to count on from 4 to find the answer and many may have 4 + 4 as a known fact.\n- Repeat the process with 3 and 4 VW beetles. Each time continue to add the information to the chart.\n- Ask the students to work out how many wheels there would be on 6 beetles. If some of the students find the answer quickly, ask them to find the answer using another strategy.\n- Share solutions. These may include:\n- skip-counting with or without the calculator\n- counting on using a number line or hundred’s board\n- using counters to find 6 groups of 4.\n- As the class to complete the chart up to 6 cars.\n- Ask: What can you tell me about this chart?\nShare ideas. Encourage the students to focus on the relationship between the number of cars and the number of wheels.\n- Ask the students how they could record this information using grid paper.\nOver the next 2-3 days, the students work in pairs to explore the number patterns of other skip-counts. At the end of each session the students share their charts with the rest of the class.\n- Place pictures of items that the students are to investigate in a “hat”. Ask each pair to draw one out and then investigate the pattern up to at least 6. Encourage the more able to students to extend the pattern beyond 6.\n- Pictures could include:\n- tricycles (3 wheels)\n- bicycles (2 wheels)\n- hands (5 fingers)\n- spiders (8 legs)\n- glasses (2 lenses)\n- frog (4 limbs)\n- stool (3 legs)\n- Remind the students that they are to record their explorations on a chart.\n- At the end of each session share and discuss charts and number patterns. Ask the students to identify the patterns that are the same.\nIn today’s session we use calculators to extend our skip-counting into the hundreds. We record our patterns on a hundreds chart.\n- As a class look at the chart to show hands (5 fingers). Skip count together in 5s, shading the counts on a hundreds chart.\n- As the chart is shaded ask questions which encourage the students to look for patterns in the numbers as they make their predictions.\nWhich number will be next?\nHow do you know?\n- Give the students (in pairs) a hundred’s chart and ask them to shade in one of the skip counting patterns that they had charted on the previous days.\n- Display, share and discuss at the end of the session.", "label": "Yes"} {"text": "12/8/16 – Dennis Miller and Hubert Ho\nMusic and Math | Dennis Miller and Hubert Ho\nDecember 8, 2016, 7-8pm\nMIT List Visual Arts Center\nWhat is the nature of knowledge? Where does music lead the mind? Dennis Miller and Hubert Ho think about these big questions through the particular lens of music. Music relates to many other fields – to visual art, moving images, to mathematics. In a formal sense they both embrace music composition as a problem solving challenge – aiming to create a unified whole which communicates to the audience. On the one hand a composition defines its own authority. But broader concepts, spanning disciplines, such as form, pattern-recognition, symmetry, and recursion can be identified through music.\nBoth Miller and Ho address the relationship between mathematics and music, looking at their art form through the lens of another discipline. Incorporating mathematical insights, however, does not preclude the necessity, possibility, or desirability of a spiritual or emotional connection to music. Does mathematics have a role in what they experience internally as composers, and in listeners’ experiences of resulting musical compositions?", "label": "Yes"} {"text": "This video shows how to calculate the labor rate variance.\nThe labor rate variance is the difference between:\n(1) actual labor hours * actual wage rate and\n(2) actual labor hours * standard wage rate\nThis is sometimes abbreviated as: (AH * AR) – (AH * SR)\nIf the company spent more than it should have (according to the standard, which is set by management), then the labor rate variance is unfavorable. An unfavorable variance could occur if the company’s employees received a higher wage from working overtime.", "label": "Yes"} {"text": "Use our collection of homework help courses to complete assignments in any of your classes.\nOnline Homework Helpers for Writing Homework Help Service\nTVO Homework Help - YouTubeA guide to books, videos, websites and other resources that provide homework help for high school students.\nHomework Helper for Grade 2 Math - Math and Reading Help\nVetted by our experts for safety and quality, and totally free.\nHomework Help and Homework Tutoring | Sylvan Learning\nCatch Up, Keep Up, or Get Ahead with Go Math! Academy!Our mission to provide a world-class education for anyone, anywhere.Get Expert Help: All Scholars Registered On Our Site Hold Verified Advanced Degrees.\nHomework help lovingly written by PhD students from Stanford.Get Help On Any Subject: Scholars Can Help You With Math, Physics, Chemistry, English and More.\nHomework Help School - WebMath - Solve Your Math ProblemOur mission is to provide world-class tutoring with supreme quality lesson plans to students all around the world.\nHippoCampus - Homework and Study Help - Free help withHow to cheat on homework or online classes using Google search, screen capture, or our homework help services.\nAlgebra 2 Homework Help Please - Khan Academy Free Online\nStar-Study Academy - INTRODUCTIONKhan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.\nOur main purpose is to give a help to children and their parents in the problem of school homework.\nDeveloping Good Homework Habits - HealthyChildren.orgWe are provides CPM homework help of any complexity: cc3, cc2.\nUrgenthomework provides instant online and professional homework, assignment help for college students in accounting, math, science, finance, economics and statistics.Students, parents and teachers looking for homework help for 4th grade math found the following information and resources useful.Press question mark to see available shortcut keys. 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Search.Star Study Academy is offering STEAM focused afterschool program.\nPassmores Academy Homework Help - Google+\nStudents make outstanding progress in English and mathematics.Learn how Sylvan tutors can help with homework when needed and give your child a boost.\nStudents participate readily in the wide range of sports, social, art, music and drama activities that the school provides.Entertaining video lessons covering middle school science, high school AP.Friendship Academy teachers are here to help your student thrive.Here is a small list of website we have curated to help your child with his homework and with the skills (s)he learns in class.\nHomework Help: Grade 7 to Grade 12+ | Pickering LibraryLive online math tutors, Group classes, Online learning and more.Free math lessons and math homework help from basic math to algebra, geometry and beyond.\nHomework booklet for parents of elementary and junior high school students.In khan academy homework help to these three intended of individuals mentioned, particular familiar notes about the medical review versus expressive articles is that.Homework Help School - Professional Help Help My Math Homework, Doctoral Dissertation Help High Quality.\nHomework Help . Supporting Your Learner . Going to SchoolA free online self-directed tutoring site that helps you learn subjects that you might be struggling in.\nFast and very accurate. 100% Every thing was explained in great detail.Writing coach that really helps you get a high-quality custom-written plagiarism-free work done.", "label": "Yes"} {"text": "Yes, size matters. The larger your mesh is, the more LODs are going to be ignored by the LI calculation. The radius of the bounding box (think of a sphere encompassing the mesh) is what determines which of the lower LODs is being dropped.\nIf said radius is larger than 5.43 meters, the lowest LOD will be ignored.\nIf said radius is larger than 10.86 meters, the low, and lowest LOD will be ignored.\nIf said radius is larger than 43.44 meters, othe lowest, low, and medium LOD will be ignored.\nThe formula to get the radius is sqrt(x*x + y*y + z*z) / 2\nAlso, it's always a good idea to keep larger meshes as lowpoly as possible, and add window frames, and any detail as a separate mesh object.", "label": "Yes"} {"text": "...I am a recent graduate of The Crane School of Music, where I studied Music Business and concentrated on Double Bass. Thus, I have taken a sequence of four courses in each of Aural Skills/Sight Singing and Music Theory. I have a substantial composition portfolio and I received a perfect score on both the Aural, Theoretical, and Sight Singing portions of the Advanced Placement exams.\nMiddle Village, NYView Tutor\n...I have taught geometry to students at the regular, accelerated, and honors levels as well as for the SAT, the SAT Math Subject test and the GRE general test. Success in geometry relies on the ability to recall and combine specific concepts given geometric clues such as parallel sides, related an...\nEdison, NJView Tutor\n...I received a grade of 98 on my Algebra 2/Trigonometry Regents exam when I was a junior in high school. I also graduated from Stony Brook University with a Bachelor of Science degree in Applied Mathematics and Statistics in three years with a GPA of 3.81. I have substitute teaching experience in Math as well as other subjects.\nYonkers, NYView Tutor\n...I have helped 25+ students prepare for the SAT Math section, as well as the Subject tests, over the last 5 years. I have seen unilateral improvements in scores for every student I have helped. I have helped 25+ students prepare for the SAT Reading Section.\nMorris Plains, NJView Tutor\n...I scored 5 on AP English Literature and perfect 800 on SAT Subject Literature. I tutor all business school courses including microeconomics and macroeconomics. I have a thorough academic grounding in game theory, operational systems, and the relevant mathematics.\nNew York, NYView Tutor", "label": "Yes"} {"text": "What is the common difference for this arithmetic sequence? -6, -2, 2, 6, 10, … What is the common difference for this arithmetic sequence? -6, -2, 2, 6, 10, … January 13, 2023 Others 0 You may also like... A theater sold 85% of the tickets for a play. If 170 tickets were sold, how many tickets Josh has 27 signed baseballs. He places the baseballs equally on 3 shelves. How many baseballs Find the first five multiples of the number write a multiple equation to show their multiple Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Email * Website Save my name, email, and website in this browser for the next time I comment.", "label": "Yes"} {"text": "Using Computer for Statistical Analysis\nStudents examine the use for spreadsheets in analyzing data. They make spreadsheets that display and calculate a given data set such as temperature change.\n3 Views 0 Downloads\nCollecting and Working with Data\nAdd to your collection of math resources with this extensive series of data analysis worksheets. Whether your teaching how to use frequency tables and tally charts to collect and organize data, or introducing young mathematicians to pie...\n3rd - 6th Math CCSS: Adaptable\nAre Female Hurricanes Deadlier than Male Hurricanes?\nThe battle of the sexes? Scholars first examine data on hurricane-related deaths and create graphical displays. They then use the data and displays to consider whether hurricanes with female names result in more deaths than hurricanes...\n9th - 12th Math CCSS: Designed\nGet on your Mark, Get Set, Go! Collect, Interpret, and Represent Data Using a Bar Graph and a Circle Graph\nStart an engaging data analysis study with a review of charts and graphs using the linked interactive presentation, which is both hilarious and comprehensive. There are 27 statistics-related vocabulary terms you can use in a word sort....\n4th - 7th Math CCSS: Designed", "label": "Yes"} {"text": "Determine if input is odd\nBack to basics 8 - Matrix Diagonals\nRemove from a 2-D matrix all the rows that contain at least one element less than or equal to 4\nDiagonal & Anti-Diagonal Matrix: Easy\nDetermine the square root\nFind the magnetic field in sollinoid\nCipher and Decipher the message - 3 key\nfind the index of local minimum in the matrix\nFind the treasures in MATLAB Central and discover how the community can help you!\nChoose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select: .\nYou can also select a web site from the following list:\nSelect the China site (in Chinese or English) for best site performance. Other MathWorks country sites are not optimized for visits from your location.\nContact your local office", "label": "Yes"} {"text": "PDF (Acrobat) Document File\nBe sure that you have an application to open this file type before downloading and/or purchasing.\n2.86 MB | 20 pages\nThis math Bingo is perfect for Back to School or for all year long! Addition and Subtraction skills can be practiced in a fun and engaging way through Bingo play. This game is perfect for small groups or math centers.\n10 unique back to school themed Bingo game boards\n36 Addition within 10 Game Cards\n36 Subtraction within 10 Game Cards\nPlease note this is addition and subtraction within 10. Addition and Subtraction within 20 are on the way! Stay informed about new products and sales by clicking the green star at the top of the store page!\nFind other Addition and Subtraction Bingo Here:", "label": "Yes"} {"text": "Solving the Target-Value Search Problem\nKeywords:Heuristic Search, Combinatorial Search, Target-Value Search\nThis paper addresses the Target-Value Search (TVS) problem, which is the problem of finding a path between two nodes in a graph whose cost is as close as possible to a given target value, T. This problem has been previously addressed: first, for directed acyclic graphs; second, for general graphs under the assumption that nodes can be revisited given that the same edge can not be traversed twice. In this work we focus on a more restrictive variant of the same problem where nodes can not be revisited. We prove that this variant is NP-complete and discuss novel theoretical properties and provide empirical results to solve this problem optimally.", "label": "Yes"} {"text": "Search through more than 50,000 user-created Webmixes to add to your account. You can get all updates from the original creator or you can claim the Webmx as your own!\nNumber of followers\nYou searched for\nNCDPI Math Wiki.\nComplete list of all NCDPI wikispace sites\nA complete list of NCDPI wikispace sites\nNorth Carolina Educational Resources and Contacts\nAll of the most popular resources and websites for teaching mathematics in the classroom. Includes math games, fact fluency, curriculum, teaching tools, online calculators, and more!\nThis Math webmix is a great resource for teachers and students. With tons of fun games, graphs and great resources for lesson planning!\nMath Resources for Middle Grades\nWiki links for games we like.", "label": "Yes"} {"text": "Record any names for your feature.\nOpen up the lunar image and measure the length of a shadow. Just use the x,y coordinate. Convert the pixel to angular distance in the sky and then into kilometers using the distance to the moon and the small angle equation. (Use the Range recorded before.)\nTo check your conversion from pixel to distance on the lunar surface is correct, pick several craters in the image with sharp, well-defined rims or walls. Measure and record the size of these craters in their longest dimension (which will probably be top-to-bottom). Calculate their sizes. Compare them with a list of known sizes.\nIf your image covers an area near the center of the lunar disk (i.e. a spot midway between the northern and southern limbs, and midway between the eastern and western limbs), then you should find your crater sizes to be close to that listed, but if your image shows an area far from the middle of the disk, then it will be tilted -- the lunar surface is not face-on to the camera. In that case, you will have to make a correction for the fact you are seeing the crater tilted.\nHow do we correct for this tilt? Envision the moon and you looking at it:\nIn the picture below you are viewing two shadows. Each shadow is the same size [42 pixels]. You see the entire 42 pixel length of the one in the center of the moon but the one closer to the edge (limb) of the moon measures only 35 pixels. Thus a picture of center of the lunar disk has little or foreshortening because the lunar surface is roughly face-on to the camera. But a picture of any other area will be tilted with respect to the camera; the closer the area is to the limb of the moon, the larger the tilt.\nYou will need to correct for this foreshortening.\nUse the lunar latitude and longitude of your mountain in the following formula:\ntilt correction factor = 1/ (cos(latitude) x cos(longitude))\nThe correction factor is always larger than 1. Multiply your shadow length (in km) by this factor, to get the corrected shadow length (also in km).\nAs a check, use this same factor to correct the measured diameters of craters in your image; compare to the known diameters of the craters. How close are your measurements to the listed diameters?\nNow you know the size of the shadow you can find the height of the mountain, - if you know the angle of the Sun. See the figure below\nThe simplest way to the sun angle is to measure the number of degrees between the feature and the terminator (as long as they are less than 90 degrees apart) and multiply by 0.01*(100 - |feature latitude) as a substitute for the solar angle.\nSun angle = (feature longitude -terminator longitude) x .01 x (100 - |feature latitude|)\nShadows are prominent (and most easily measured) when the local solar angle is about 15 degrees or less.\nCalculate the height of your feature.\nheight = shadow length x tan (Sun angle)Can you find another source, which lists the height of your mountain, or other pictures of your mountain? See\nThe description of your mountain should have its location, name (if you know it) and a run-down on how you go its height. You might even include a sketch.\nBe sure to answer all the questions above.\nWhen you find the official values or other information, like the height of Brasstown Bald, you need to say where you got the information - reference, URL, etc.", "label": "Yes"} {"text": "500lbs pressing down on two gears. Surface area of contact on one gear is 0.03125 inches squared. I calculated pressure. 500lbs / 0.0625 = 8000psi being exerted onto the two gears' surface areas. One gear has 4000psi. The gears' radius is 0.47 inches. I calculated torque for an individual gear. 4000psi (0.47 inches) = 1880 inch pounds. (I think I just found my mistake, but I'll finish posting this with my new results). So the torque being applied to the gears is 1880 inch pounds each. I guess working through the problem for the 3rd time helped. But I would welcome anyone to double check my triple check. I still may have misunderstood something and my calculations are off.", "label": "Yes"} {"text": "We consider a self-interacting process described in terms of a singleserver system with service stations at each point of the real line. The customer arrivals are given by a Poisson point processes on the space-time half plane. The server adopts a greedy routing mechanism, traveling toward the nearest customer, and ignoring new arrivals while in transit.We study the trajectories of the server and show that its asymptotic position diverges logarithmically in time.\n|Number of pages||20|\n|Journal||Annals of Probability|\n|Early online date||5 May 2015|\n|Publication status||Published - 2015|\n- Greedy policy\n- Long-term behavior\nASJC Scopus subject areas\n- Statistics and Probability\n- Statistics, Probability and Uncertainty\nFingerprintDive into the research topics of 'Greedy walk on the real line'. Together they form a unique fingerprint.\n- School of Mathematical & Computer Sciences - Professor\n- School of Mathematical & Computer Sciences, Actuarial Mathematics & Statistics - Professor\nPerson: Academic (Research & Teaching)", "label": "Yes"} {"text": "Congratulations to Walford Mathematics Teacher, Joanne Maratos, who was recently included in the Sunday Mail feature, Australia’s Best Teachers.\nJoanne has been nominated for her impact as a Maths teacher. Joanne described her approach to teaching:\n“As a Mathematics teacher I am highly motivated to develop my students’ skills and confidence so they can understand the problem and then be able to find the solution. I find this incredibly rewarding, especially when teaching girls who may have struggled with Mathematics and felt apprehensive about their own abilities. My key strategies to achieving positive outcomes are to break down Mathematical concepts, see each student as an individual learner, tailor my teaching to their strengths, and use interesting and relevant examples. Recently we celebrated Pi Day by using cookies to illustrate the main concepts relating to circles and the visuals really assisted the students’ understanding.”", "label": "Yes"} {"text": "A Study on an HIV Pathogenesis Model with Different Growth rates of Uninfected and Infected CD4+T cells\nThe objective of this paper is to discuss the dynamics of an HIV pathogenesis model with full logistic target cell growth of uninfected T cells and cure rate of infected T cells. Local and global dynamics of both infection-free and infected equilibrium points are rigorously established. It is found that if basic reproduction number R0≤1, the infection is cleared from T cells and if R0>1, the HIV infection persists. Also, we have carried out numerical simulations to verify the results. The existence of non-trivial periodic solution is also studied by means of numerical simulation. Therefore, we find a parameter region where infected equilibrium point is globally stable to make the model biologically significant. From the overall study, it is found that proliferation of T cells cannot be ignored during the study of HIV dynamics for better results and we can focus on a treatment policy which can control the parameters of the model in such a way that the basic reproduction number remains less than or equal to one.\n2010 AMS classification: 34A34, 34D23, 37C25\nWorld Health Organisation HIV/AIDS Key facts. 2020 Jul https://www.who.int/newsroom/fact-sheets/detail/hiv\nDouek DC, Brenchley JM, Betts MR, Ambrozak DR, Hill BJ, Okamoto Y, Casazza JP, Kuruppu J, Kunstman K, Wolinsky S, Grossman Z. HIV preferentially infects HIV-specific CD4+ T cells. Nature. 2002 May; 417(6884):95–8. PMid: 11986671. https://doi.org/10.1038/417095a\nPerelson AS, Kirschner DE, Boer R De. Dynamics of HIV infection of CD4+ T cells. Math Biosci. 1993; 114:81–125. https://doi.org/10.1016/0025-5564(93)90043-A\nEssunger P, Perelson AS. Modelling HIV infection CD4+ T - subpopulations. J Theoret Biol. 1994; 170:367–91. PMid: 7996863. https://doi.org/10.1006/jtbi.1994.1199\nWang L, Li MY. Mathematical analysis of the global dynamics of a model for HIV infection of CD4+ T cells. Math Biosci. 2006; 200:44–57. PMid: 16466751. https://doi.org/10.1016/j.mbs.2005.12.026\nRong L, Gilchrist MA, Feng Z, Perelson AS. Modeling within host HIV-1 dynamics and the evolution of drug resistance: Trade-offs between viral enzyme function and drug susceptibility. J Theoret Biol. 2007; 247(4):804–18. PMid: 17532343 PMCid: PMC2265667. https://doi.org/10.1016/j.jtbi.2007.04.014\nPerelson AS, Nelson Patrick W. Mathematical Analysis of HIV-1 dynamics in Vivo. SIAM Review. 1999; 41(1):3–44. https://doi.org/10.1137/S0036144598335107\nLeenheer P. De, Smith HL. Virus dynamics: A global analysis. SIAM J Appl Math. 2003; 63:1313–27. https://doi.org/10.1137/S0036139902406905\nGao T, Wang W, Liu X. Mathematical analysis of an HIV model with impulsive antiretroviral drug doses. Math Comput Simul. 2011 Dec; 82(4):653–65. https://doi.org/10.1016/j.matcom.2011.10.007\nSrivastava PK, Chandra P. Modeling the dynamics of HIV and CD4+ T cells during primary infection.\nNonlinear Anal Real World Appl. 2010 Apr; 11(2):612–8. https://doi.org/10.1016/j.nonrwa.2008.10.037\nChandra P. Mathematical modeling of HIV dynamics: In Vivo. Mathematics Student-India. 2009; 78(1):7.\nNowak MA, May RM. Virus dynamics. UK: Oxford University Press; 2000.\nLaSalle JP. The stability of dynamical systems. SIAM; 1976. PMCid: PMC1411100. https://doi.org/10.21236/ADA031020\nHo DD, Neumann AU, Perelson AS, Chen W, Leonard JM, Markowitz M. Rapid turnover of plasma virions and CD4 lymphocytes in HIV-1 infection. Nature. 1995; 373:123–6. PMid: 7816094. https://doi.org/10.1038/373123a0\nSachsenberg N, Perelson AS, Yerly S, Schockmel GA, Leduc D, Hirschel B, Perrin L. Turnover of CD4+ and CD8+ T lymphocytes in HIV-1 infection as measured by ki-67 antigen. J Exp Med. 1998; 187:1295–303. PMid: 9547340 PMCid: PMC2212238. https://doi.org/10.1084/jem.187.8.1295\nFan X, Brauner CM,Wittkop L. Mathematical analysis of a HIV model with quadratic logistic growth term. Discrete and Continuous Dynamical Systems Series-B. 2012; 17(7):2359–85. https://doi.org/10.3934/ dcdsb.2012.17.2359\nSong X, Neumann AU. Global stability and periodic solution of the viral dynamics. J Math Anal Appl. 2007 May; 329(1):281–97. https://doi.org/10.1016/j.jmaa.2006.06.064\nWang X, Song X. Global stability and periodic solution of a model for HIV infection of CD4+ T cells.\nAppl Math Comput. 2007 Jun; 189(2):1331–40. https://doi.org/10.1016/j.amc.2006.12.044\nCulshaw RV, Ruan S. A delay-differential equation model of HIV infection of CD4+ T-cells. Math Biosci.\nMay; 165(1):27–39. https://doi.org/10.1016/S00255564(00)00006-7\nMerdan M, Gokdogan A, Yildirim A. On the numerical solution of the model for HIV infection of CD4+ T cells. Comput Math. Appl. 2011 Jul; 62(1):118–23. https://doi.org/10.1016/j.camwa.2011.04.058\nZack JA, Arrigo SJ, Weitsman SR, Go AS, Haislip A, Chen IS. HIV-1 entry into quiescent primary lymphocytes: molecular analysis reveals a labile, latent viral structure. Cell. 1990 Apr; 61(2):213–22. https://doi.org/10.1016/00928674(90)90802-L\nZack JA, Haislip AM, Krogstad P, Chen IS. Incompletely reverse-transcribed human immunodeficiency virus type 1 genomes in quiescent cells can function as intermediates in the retroviral life cycle. J Virol. 1992 Mar; 66(3):1717– 25. PMid: 1371173 PMCid: PMC240919. https://doi.org/10.1128/JVI.66.3.1717-1725.1992\nGradshteyn IS, Ryzhik IM. Routh-Hurwitz theorem, Tables of Integrals, Series and Products. San Diego: Academic Press; 2000.\nLi MY, Muldowney JS. A geometric approach to global-stability problems. SIAM J Math Anal. 1996 Jul; 27(4):1070–83. https://doi.org/10.1137/ S0036141094266449\nCoppel WA. Stability and asymptotic behaviour of differential equations. Health, Boston; 1965.\nFiedler M. Additive compound matrices and inequalities for eigen values of stochastic matrices. Czech. Math J. 1974; 24(3): 392–402. https://doi.org/10.21136/CMJ.1974.101253\nMuldowney JS. Compound matrices and ordinary differential equations. Rocky Mount. J Math. 1990 Oct: 857-72. https://doi.org/10.1216/rmjm/1181073047\nVan den Driessche P, Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math Biosci. 2002 Nov; 180(1-2):29–48. https://doi.org/10.1016/S00255564(02)00108-6\nBani-Yaghoub M, Gautam R, Shuai Z, Van Den Driessche P, Ivanek R. Reproduction numbers for infections with free-living pathogens growing in the environment. J Biol Dyn. 2012 Mar; 6(2):923–40. PMid: 22881277. https://doi.org/10.1080/17513758.2012.693206\n- There are currently no refbacks.\nThis work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.", "label": "Yes"} {"text": "Cube and Octahedron Sculpture\nInitializing live version\nRequires a Wolfram Notebook System\nInteract on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.\nThis conceptual design for a possible geometrical sculpture contains a cube, an octahedron, and some fragments. First form an octahedron after expanding the six faces of a cube. Next, interconnect the cube with eight sides of the octahedron. Finally, construct a central cubic frame.\nContributed by: Sándor Kabai (August 2016)\nOpen content licensed under CC BY-NC-SA\nThis arrangement is useful for exploring the relationship of the octahedron and the cube, their possible decompositions, and the duality between them.", "label": "Yes"} {"text": "Lesson Plan Template: General Lesson Plan\nLearning Objectives: What should students know and be able to do as a result of this lesson?\nStudents will count objects to name quantities from 11-20. Additionally, students can write these numerals if the teacher deems it appropriate (depending on students' prior experiences with these numbers).\nPrior Knowledge: What prior knowledge should students have for this lesson?\nThis activity requires that students have an understanding of numbers 1-10 (identifying, counting, representing, etc.). To access and review this prior knowledge, show the students a group of counters of a quantity 0-10 and ask them to tell how many are shown. Ask for volunteers to tell how they know the amount. Additionally, you can have students use counters or drawings to model a given number, again 0-10. Though not required, it will also be helpful if students have some experience with rote counting to 20 (knowing number names and count sequence).\nGuiding Questions: What are the guiding questions for this lesson?\n- If we know that an amount of counters is ten and some more, how does that help us figure out how many there are in all?\n- You say you have ___. How many would you have if I took away the group of ten? How do you know this?\n- Do we always have to count all of the counters on your mat to find the total? Why or why not?\nTeaching Phase: How will the teacher present the concept or skill to students?\n- For this learning task, students will explore numbers 11-20 by counting 10 and then some more. Give each student pair a simple two-part mat (See attached file entitled Tens and Ones Mat, page 1) and a pile of counters (at least 20). Direct them to count out 10 counters and put them on the left side of their mat. Then ask them to count out four more and place them on the right side of their mat. Do this along with the students, displaying your counters with an overhead projector or a document camera.\n- Direct the students to help you count to find the total number of counters (counting by ones). Then say, \"Ten and four is fourteen.\" Have the class say it with you. Now turn the mat around and say, \"Four and ten is fourteen.\" Again, have the class say it with you.\n- Continue in this fashion to introduce or practice numbers 11-20 in random order, each time changing the ones number but leaving the group of ten on the mat. If using this to introduce numbers and number names for 11-20, this will require some direct instruction at first. If students have had prior experience with numbers 11-20 you can also model how to write numerals to represent these quantities and have students record the numerals on paper.\nGuided Practice: What activities or exercises will the students complete with teacher guidance?\nOnce students have experience with numbers 11-20, they can work in pairs to roll dice, fill the mat, and count to find the total. Give each student pair a work mat (see attached file Tens and Ones Mat, page 1 simple mat or page 2 mat with ten frame), 20 counters, and 2 ten-sided dice (or 3 six-sided dice). Student A rolls one die and counts out that many counters. Student B rolls the other die and counts out that many counters. They count to find their total. Next they place their counters on the mat, first filling the left side with 10 and then placing the rest on the right side. In chorus they say, \"Ten and ______ is ________,\" according to the amount shown. Again if students have had some prior experience with numbers 11-20 you can have them record the totals on paper. As students work, circulate to observe how students count and how they place counters on the mat. Ask probing questions such as:\n- How are you counting?\n- Is there another way to count? Show me and count aloud.\n- What is your total amount? How do you know?\n- How many would you have if I gave you 1 more? (or if I took away 1?)\n- Add two more to the right side of the mat. How many do you have now? How do you know that is the correct amount?\n- You say you have 18. How many would you have if I took away the group of ten?\n- Do we always have to count all of the counters on your mat to find the total? Why or why not?\n- How does knowing that this group is ten help us know how many we have in all?\n- As student gain more experience with numbers 11-20, ask them to fill the mat before counting the numbers. Then see if they can tell you the total without counting all of the counters or by counting on from ten. (ex: ten and 2 more is 12, or ten, eleven, twelve)\nIndependent Practice: What activities or exercises will students complete to reinforce the concepts and skills developed in the lesson?\n- Tell students that they are going to help you create posters for a special event at your community center to raise money to help families in need. Explain that the community center will have games that children can play but each game requires one ticket. Tickets cost $1. However, if children bring canned and packaged food, they get free tickets. If a child brings a parent, they get 10 free tickets and they can get one additional free ticket for each food item they bring. Tell students that they will help you create posters to show how many free tickets children get depending on the amount of food items they bring.\n- Give each pair of students several crayons and a poster of How Many Free Tickets Can You Get? (see attached file of same name). Note that there are two different posters, one with even numbers and one with odd numbers. You can decide to give all student pairs the same poster or give half of the pairs the odd numbers poster and give the other half the even numbers poster. Review the poster with the students, making sure they understand what information is represented. Ask them to figure out how many free tickets a child would get if they bring a parent and bring the number of food items represented in each row. Then ask them to write the corresponding total number of free tickets the child would get in the last column of each row. Guide the students through completing the first row to make sure they understand what to do.\n- As students work in pairs, circulate and ask probing questions such as those listed in the Assessment sections or those listed in the Guided Practice section.\nClosure: How will the teacher assist students in organizing the knowledge gained in the lesson?\n- When all have finished, have students display their posters. Review answers. If students have different answers on their posters, ask for volunteers to explain and justify their answers. Facilitate corrective feedback and allow students to revise posters as needed.\n- To summarize the lesson, ask students to discuss the following question with a partner, \"If we know that an amount of counters is ten and some more, how does that help us figure out how many there are altogether?\" Then ask for several volunteers to share their answers.\nYou can assess students' understanding in two ways. You can use the finished product of the posters to assess students' mastery of learning. Another alternative is to ask students to represent the last amount shown on their poster in a math journal with pictures and by writing the total amount under their picture as \"Ten and ______ is ________.\" They can write the total using words, numerals or both. Provide a word bank to help with writing the words.\nTo access and review prior knowledge, show the students a group of 8 counters (or other number from 0-10) and ask them to tell how many are shown. Ask for volunteers to tell how they know the amount. Additionally, you can have students use counters or drawings to model a given number from 0-10. Though not required, it will also be helpful if students have experience with rote counting to 20 (knowing number names and count sequence). To assess their knowledge of the counting sequence, ask students to count out loud from 0-20. If any students struggle with any of these 3 tasks, they could need intervention before beginning the lesson or might need extra support during the lesson.\nFeedback to Students\nAs students are working in partner pairs, observe how students model the various quantities, how they count, and how they describe the totals as ten and some more. For example, when counting the total some students might have to begin counting at one and others might be able to count on from ten. For students who always begin counting at one, ask questions such as, \"How many are in this group? (pointing to the group of ten) How could you use that information to help you finish counting the rest to find the total? or Can you count on from ten?\"\nYou might also ask questions such as:\n- Describe what your model is showing.\n- Does the number you wrote match your representation? How do you know?\n- Do you notice a pattern in the numbers you are writing? Tell me about the patterns you see.\nACCOMMODATIONS & RECOMMENDATIONS\n- Partner strong students with those who have more difficulty mastering new skills.\n- If students are struggling with the counting sequence, have partners count aloud together from 0-20 before counting the counters. Then have then count out loud together as they determine the total.\n- If students are struggling with counting larger quantities, give them more practice with smaller amounts (11-15).\n- If students have a difficult time completing assignments within the lesson time frame, reduce the amount of items the students have to complete.\n- If you have students record their totals using numerals 11-20 and some students struggle with this, allow them to tell you or their partner the quantity and record it for them. Then they can trace the numeral to get practice writing the amount. Note that some students might reverse numerals. This should not count against the student as handwriting is not the focus of the lesson.\nGive students cards that have a different number written on each (11-20). Ask them to tell or show how many counters they would place on their work mats in terms of ten and some more. For example, given the number 17, they would tell or show that ten plus seven more would be placed on the mat.\nSuggested Technology: Document Camera, Microsoft Office\nSpecial Materials Needed:\n- Tens and Ones Mat (attached file) - 1 for each pair of students\n- 20 counters - 1 group for each pair of students\n- 2 ten-sided dice -1 pair per student pair\n- Paper & pencil or dry erase boards & markers for each student if you have them record numerals\n- How Many Free Tickets Can You Get? (attached file) - 1 for each pair of students\n- Crayons - a few for each pair of students\nThis lesson can be used to introduce numbers 11-20 or used for additional practice with these numbers. The attached Tens and Ones Mat file contains two work mats - a simple mat showing a column each for ten and some more or a work mat that uses a ten frame for the ten. Either mat can be used.\n\"Even though kindergarten, first-, and second-grade children daily experience numbers up to 20 and beyond it should not be assumed that they will automatically extend the set of relationships they have developed on smaller numbers to the numbers beyond 10. And yet these numbers play a big part in many simple counting activities, in basic facts, and in much of what we do with mental computation. Relationships with these numbers are just as important as relationships involving the numbers through 10.\" (John Van de Walle and Lou Ann Lovin, Teaching Student-Centered Mathematics Grades K-3, page 54)\nIn Kindergarten, it's not necessary for students to think about numbers 11-20 as one group of ten and an amount of ones, but it is important for them to understand that these numbers are ten and some more and to be able to count on from ten. This lays the foundation for future base ten understandings that will be developed in first grade.\nSOURCE AND ACCESS INFORMATION\nName of Author/Source: Elizabeth Gehron\nDistrict/Organization of Contributor(s): Seminole\nIs this Resource freely Available? Yes\nAccess Privileges: Public\n* Please note that examples of resources are not intended as complete curriculum.", "label": "Yes"} {"text": "- Senior Maths Challenge 2016 / 2017\n- Senior Math Challenge\n- Frances98 get those A's blog!\n- Edexcel IAL Core Mathematics C34 WMA02 JUNE 2017\n- Bored AMA\n- Oxford Physics Aptitude Test\n- Who is the smartest chat member?\n- How did/does STEM influence your life?\n- UKCAT help and any good courses ??\n- Can you pass the National Numeracy Challenge?\nRelated university courses\nBusiness & Management/Mathematics (SocSci)\nUniversity of Glasgow\nComputer Science and Mathematics\nComputing Science and Mathematics\nUniversity of Stirling\nCreative & Professional Writing and Mathematics\nUniversity of Derby\nUniversity of Oxford\nMathematics and Statistical Science\nUniversity College London\nMathematics with a Year Abroad\nUniversity of East Anglia\nMathematics with Computing\nMathematics with Economics\nUniversity of Exeter\nMathematics with Foundation Year\nUniversity of Plymouth", "label": "Yes"} {"text": "Forgot your password?\nOr sign in with one of these services\nSchiehallion's isolated position and regular shape led it to be selected by Charles Mason for a ground-breaking experiment to estimate the mass of the Earth in 1774. The deflection of a pendulum by the mass of the mountain provided an estimate of the mean density of the Earth, from which its mass and a value for Newton's Gravitational constant G could be deduced. Mason turned down a commission to carry out the work and it was instead coordinated by Astronomer Royal, Nevil Maskelyne. He was assisted in the task by mathematician Charles Hutton, who devised a graphical system to represent large volumes of surveyed heights, later known as contour lines.\nThere are no comments to display.\nYou need to be a member in order to leave a comment\nSign up for a new account in our community. It's easy!\nAlready have an account? Sign in here.", "label": "Yes"} {"text": "With simple linear regression, standard errors and confidence intervals for fitted (and predicted) values are easily computed. In R, we can use the\nse.fit argument in\npredict.lm, which returns the standard error for the fitted values, and\ninterval = \"confidence\" to return confidence intervals. With linear mixed-effects models, however, it is not so easy. Neither\nlme4) provide these methods, as confidence intervals on mixed-effects model predictions are harder to produce.\nThe solution is to use the parametric bootstrap, which is conveniently implemented in\nbootMer to be applied to models fit with the\nlme4 package (\nglmer). Here I describe a simple wrapper around\nbootMer, providing an alternative for\npredict.merMod that calculates standard errors (and confidence intervals) for predictions.\nA side-effect of this implementation is that confidence intervals now appear in\nvisreg plots of mixed-effects models.\nThe code shown below is implemented as a very simple package,\nbootpredictlme4, which can be installed with,\nNote that the package cannot be used in conjunction with the\nlmerTest package, since both packages replace the\npredict.merMod function from\nlme4. For this reason I will probably not attempt to submit this package to CRAN.\nSuppose we fit a linear mixed-effects model, using the built-in\nsleepstudy dataset (in the\nlme4 package), which fits the reaction time of subjects as a function of the number of days since a sleep deprivation (3 hours per night) experiment.\nlibrary(lme4) fm1 <- lmer(Reaction ~ Days + (Days | Subject), sleepstudy)\nThe structure allows for a random intercept and slope of reaction vs. days by subject. A\nvisreg plot (Fig. 1) shows the fitted model (for the average subject). Note that I have not yet loaded the\nlibrary(visreg) visreg(fm1, \"Days\", ylab=\"Reaction time (ms)\")\nIf we are interested in the fitted value at some specified time, let’s say 5 days, we can use\nre.form=NA to yield predictions for the average subject (i.e. not include random effects in the predictions). Note that we actually invoke\nfm1 is fitted with\npredict(fm1, newdata = data.frame(Days=5), re.form=NA)\n## 1 ## 303.7415\nNow we would like to calculate a confidence interval on this prediction, using the bootstrap. We can generate 100 bootstrap resamples with the\nbootMer function, as follows. In this case, we apply the\npredict.merMod to each of the bootstrapped fits. I am just using 100 fits to speed up this code, but you probably want to use 1000 samples or more.\nb <- bootMer(fm1, nsim=100, FUN=function(x)predict(x, newdata=data.frame(Days=5), re.form=NA))\nThe resulting object\nb contains lots of information, but most useful is the element\nb$t, which lists the output of the function we applied to each of the bootstrap resamples, in this case the fitted value at\nThe following histogram shows the distribution of the fitted values, that is, the sampling distribution. Note that if you use more samples (which you should), the distribution will look more like a normal distribution.\nhist(b$t, breaks=seq(250,350,by=5), ylim=c(0,25), main=\"\", xlab=\"Reaction time at 5 Days (ms)\", col=\"cornflowerblue\") box()\nThe standard error of our predicted value can be estimated simply as the standard deviation of the sampling distribution, that is,\n## 9.184015\nand the confidence interval as the quantiles of the distribution (in this case, a 95% confidence interval).\nquantile(b$t, probs=c(0.025, 0.975))\n## 2.5% 97.5% ## 286.5467 321.5505\nThe example above is implemented in the\nbootpredictlme4 package (as mentioned, install with\ndevtools::install_github(\"remkoduursma/bootpredictlme4\")). When loading the package, the\npredict.merMod function is replaced with a function that takes an\nlibrary(bootpredictlme4) predict(fm1, newdata=data.frame(Days=5), re.form=NA, se.fit=TRUE, nsim=100)\n## $fit ## 1 ## 303.7415 ## ## $se.fit ## 1 ## 10.50841 ## ## $ci.fit ## 1 ## 2.5% 283.6878 ## 97.5% 323.8666\nTwo standard errors are computed, the\nse.boot is the one described above (the standard deviation of the sampling distribution), and\nse.fit is an effective standard error that reconstructs the bootstrapped confidence interval if we were to assume asymptotic normality. In the case of normality, the half-width of the confidence interval (for 95% coverage) is of course 1.96 times the standard error. Thus\nse.fit is calculated as the half-width of the bootstrapped confidence interval, divided by 1.96. It is this standard error that is used by\nvisreg (see below), making sure that the resulting confidence interval is actually equal to the bootstrapped confidence interval.\nIn most cases\nse.boot will be very similar, unless you used very few bootstrap samples, or the sampling distribution is very non-normal (which is certainly possible).\nA major advantage is that\nvisreg automatically recognizes that we can compute standard errors, and now a confidence interval appears on the standard effects plot. Note that\nbootpredictlme4 warns about using few bootstrap resamples. The default has a low number to allow rapid testing.\nvisreg(fm1, \"Days\", ylab=\"Reaction time (ms)\")\n## Number of bootstrap replicates very low. ## Set to higher value with e.g. options(bootnsim = 500)\nThe new predict method also allows more complicated\nvisreg plots, like the overlay plot (my personal favorite).\n# Add a fake grouping variable to sleepstudy high <- with(sleepstudy, levels(reorder(Subject,Reaction,mean)))[1:9] sleepstudy$Group <- factor(ifelse(sleepstudy$Subject %in% high, \"A\", \"B\")) fm2 <- lmer(Reaction ~ Days*Group + (Days | Subject), sleepstudy) visreg(fm2, \"Days\", by=\"Group\", overlay=TRUE, ylab=\"Reaction time (ms)\")\n## Number of bootstrap replicates very low. ## Set to higher value with e.g. options(bootnsim = 500) ## Number of bootstrap replicates very low. ## Set to higher value with e.g. options(bootnsim = 500)", "label": "Yes"} {"text": "Features aspects and solutions of problems of linear vibrating systems with a finite number of degrees of freedom. Starts with development of necessary tools in matrix theory, followed by numerical procedures for relevant matrix formulations and relevant theory of differential equations. Minimum of mathematical abstraction; assumes a familiarity with matrix theory, elementary calculus. 1966 edition.\nHow to download book\nBuy this book\nYou can buy this book now only for $11.59. This is the lowest price for this book.\nDownload book free\nIf you want to download this book for free, please register, approve your account and get one book for free.\nAfter that you may download book «Lambda-Matrices and Vibrating Systems»:", "label": "Yes"} {"text": "Metric Prefixes are “labels” that can be placed in front of base units. Whenever using the metric prefix chart, remember that “1” is associated with the metric prefix.\nConversion factors needed:\n1 km (kilometer) = 103 m (meters)\nA bedroom has a volume of 116 m3 .\nWhat is its volume in cubic kilometers (km3)?\nFrequently Asked Questions\nWhat scientific concept do you need to know in order to solve this problem?\nOur tutors have indicated that to solve this problem you will need to apply the Metric Prefixes concept. You can view video lessons to learn Metric Prefixes. Or if you need more Metric Prefixes practice, you can also practice Metric Prefixes practice problems.", "label": "Yes"} {"text": "An annuity is a financial product that pays out in equal intervals over time, such as but not limited to a retirement fund. This fund would pay the same value at a regular frequency until the annuity has been exhausted. This calculator assists in working out the future value of an annuity to gauge what the financial value will be after a set period of time, this can assist with decisions relating to the time value of money. The calculations for this future value of annuity calculator rely on knowing the current or present value of the annuity, the interest rate that will be given and the number of periods in which the interest will be accumulated - which in this case is years. We assume a static interest rate in this calculation as predicting the fluctuations of interest rates offered by financial institutions over time into the future is almost impossible.\nIf you've found a bug, or would like to contact us please click here.\nCalculate.co.nz is partnered with Interest.co.nz for New Zealand's highest quality calculators and financial analysis.\nCopyright © 2019 calculate.co.nz All Rights Reserved. No part of this website, source code, or any of the tools shall be copied, taken or used without the permission of the owner. All calculators and tools on this website are made for educational and indicative use only. Calculate.co.nz is part of the realtor.co.nz, GST Calculator, PAYE Calculator,and Salary.co.nz group.", "label": "Yes"} {"text": "Nifty Applications in Discrete\nBill Marion, Doug Baldwin, Susanna\nEpp, Peter Henderson\nJune 7-11, 2004\n5/10/04 REGISTRATION IS NOW CLOSED\nHave you ever struggled to come up with applications in a discrete\nmathematics course which demonstrate to your students the relevance of\nwhat seems like a rather disparate collection of topics to their study\nof material in computer science (and, yes, even excite them too!)?\nThen, this workshop is for you.\nThe workshop will provide participants with an in-depth look at a\nnumber of problems and applications that arise in a typical discrete\nmath course (sequence) which is designed to meet the needs of computer\nscience majors. The problems and their solutions will be treated\nfrom both a mathematical and a computational perspective.\nRepresentative problems will be selected from the following domains:\nencryption algorithms, finite-state automata and Turing machines,\nanalysis of algorithms, algorithm correctness, Boolean algebra and\nlogic circuits, graph algorithms, data base systems, functional and\nlogic programming, and computer graphics.\nAs a pre-workshop activity, participants will be given a collection of\npossible problems to be discussed during the workshop, assigned some\nreadings on each of the problems and asked to choose which ones they\nwould like to see in more detail. At the workshop, for each of\nthe applications chosen, the presenters will provide background\ninformation and the participants will work in teams to develop\nsolutions to a carefully chosen set of exercises. Participants will\nreturn to their institutions prepared to implement the materials\ndeveloped. As follow-up, participants will be asked to contribute\ntheir own examples and applications to an on-going, on-line repository\ndeveloped by the workshop leaders.\nReturn to the PREP front page", "label": "Yes"} {"text": "[Numpy-discussion] [Python-3000] PEP 31XX: A Type Hierarchy for Numbers (and other algebraic entities)\nFri Apr 27 13:59:07 CDT 2007\nJan Grant wrote:\n> . . . the space of doubles include a small number of things\n> that aren't representable by a rational (+/- inf, for instance).\nAnton Sherwood, http://www.ogre.nu/\nMore information about the Numpy-discussion", "label": "Yes"} {"text": "This plugin enables mathjax (http://www.mathjax.org) functionality for WordPress (http://www.wordpress.org).\nYet another plugin to add MathJax support to your wordpress blog. Just wrap your equations inside $ signs and MathJax will render them visually.\nIntegrates the super-fast KaTeX LaTeX equation typesetting engine with WordPress. Create beautiful, yet performant math in your posts and pages.\nLaTeX2HTML makes you write blog like in LaTeX doc.\nWP MathJax is another simple wordpress plugin for MathJax. WP MathJax will add MathJax.js to the header and footer of the page.", "label": "Yes"} {"text": "8 months ago\nAntidifferentiation of Linear Over Quadratic\n9 months ago\nClaremont McKenna College Department of Mathematical Sciences\nHere are all of the videos that Mark Huber has uploaded to Vimeo. Appearances are videos that Mark Huber has been credited in by others.\nMore stuff from Mark Huber\nTM + © 2015 Vimeo, LLC. All rights reserved.\nMade with k in NYC.\nYour content preferences apply to any Vimeo videos you view. Learn more about content preferences in our FAQ.", "label": "Yes"} {"text": "Professor Landon Gauthier came to Carthage from the University of Kentucky, where he earned his Ph.D. in mathematics with his advisor Dr. Russell Brown. His dissertation was on improving the regularity of coefficients on inverse problems involving the polyharmonic operator. On top of this, he is also interested in analysis, mathematical modeling, the history of mathematics, and curious problems in mathematics.\nProf. Gauthier went to UW-Platteville for his undergraduate degree. There, he became involved in the Mathematics Department where he helped in creating a math modeling club and participated in competitions across the Midwest. He is interested in helping the students at Carthage explore the opportunities that Carthage offers.\nIn his free time, Prof. Gauthier enjoys spending time with his wife and his two cats: Georg Cantor and Henrietta Lebesgue. He is an avid fan of watching all things sports and enjoys golfing.\n- Ph.D. — Mathematics, University of Kentucky\n- M.A. — Mathematics, University of Kentucky\n- B.S. — Mathematics, the University of Wisconsin-Platteville\n- MTH 1050\n- MTH 1120\n- NSG 2330\nReal Analysis, Partial Differential Equations, Inverse Problems\nRussell Brown, Landon Gauthier. Inverse boundary value problems for polyharmonic operators with non-smooth coefficients. Inverse Problems and Imaging, 2022, 16 (4) : 943-966. doi: 10.3934/ipi.2022006 Christopher Frayer. Landon Gauthier. “A tale of two circles: geometry of a class of quartic polynomials.” Involve 11 (3) 489 - 500, 2018. https://doi.org/10.2140/involve.2018.11.489", "label": "Yes"} {"text": "HOMEROOM STUDENTS: See Tab Below for Student Virtual Classroom & 7th Grade Electives Registration--- I miss you! Mrs. Flake\nCanvas directions for Math Extended Learning-\nVideo directions to login to Canvas can be found HERE:\nOnce logged in you should be able to see the course. There's a link to the modules on the home page, but if that link does not work for some reason, please click the MODULES button on the left hand side. NOTE: If you only click ASSIGNMENTS you will miss the instruction and some activities. SO stick with going through the assignments as part of the MODULE!\nMrs. Cindy Flake, MAT\nInterim 6th Grade Math Teacher\nMt. Pleasant Middle School\nMy Google Voice phone/text is: 980-222-4303", "label": "Yes"} {"text": "Math Series is designed keeping a preschoolers / kindergarten kids in mind. It is very ideal for kids between the ages 3 to 8. It is an excellent application for kids to have fun with numbers and math. Math Series is very ideal for parents since it engages kids while driving, in the airport or while waiting in the restaurants.\nThe default setup is to start the kids with simple number series (1's) and after 25 problems (first award), it will advance to next series and so on. If you choose random the series will be randomly selected. Additional options to setup the maximum start number and ascending or descending options are also provided.\nOnce the correct answer has been achieved, just press next button and a new series will appear. Five successful correct answer results in a colored star or a flower as a reward. The rewards icon keep changing. Math Series lets you adjust the levels to customize them for your child.", "label": "Yes"} {"text": "Kids apply figuring out area and lacking lengths and widths with these house-themed visible fashions. Choose the appropriate grade to have students follow the math skills they’re expected Fun Math Games For Kids to know at their explicit training degree. You can then choose which talent(s) you need them to work on as they play an thrilling, journey-packed sport or use our accessible digital textbook.\nThis can be a logic puzzle game the place you complete the rings of numbers across the grey hexagons. Numbers cannot repeat in any of the overlapping rings. Use the given numbers to infer Fun Math Games For Kids the situation of the others. Use this printable worksheet to count in a gaggle to strengthen your math abilities.\nThis game is a variation on the basic logic puzzle recreation. Your activity is to create a stack of cards within the proper descending order from the jumbled playing Math Games For Kids cards on the 3 piles. The catch is that you could solely transfer a card to an empty slot or a card of a better value.\nEvery stage poses a new problem in World’s Hardest Game. Some ranges might require you to maneuver shortly and react fast, and other levels require you to sluggish it down. Earlier than you begin each degree take a second to look it over. This will enable you save a while on pointless restarts that would’ve been averted Fun Math Games For Kids. See should you notice any spots on the map where blue balls don’t attain, these spots might be your secure spots on the map. You also should take note of how briskly the blue balls are transferring. Some might be moving quick, and others is likely to be transferring slower.\nFactors Of Fun Math Games For Kids In The Usa\nNo-Hassle Fun Math Games Secrets – An Intro\nThese excellent form math games for teenagers, together with our epic tangram sport , help enhance math abilities whereas having fun with enjoyable learning actions online. On this recreation you must kind a chain of numbers whose sum equals 10. Remove all possible chains on the sphere before the timer runs out to finish every of the 15 ranges.\nYou can print off an infinite number of worksheets and generate a vast number of questions related to every ability. Merely choose the suitable grade to your college students, select the skill you want Fun Math Games For Kids them to practice, and you will be introduced with a free PDF worksheet. If you want to generate one other worksheet with completely different questions, just refresh the web page, new questions are created every time – so you’ll by no means run out of worksheets or maths questions ever again.\nThis can be a size measuring sport the place you assist the gnome measure numerous objects in his path. Select whether or not to measure in imperial or metric and how huge the fractions you may be measuring. This sport is a enjoyable way to introduce young kids to fractions and decimals.\nWe provide 12 to 16 top stage categories for every year (the exact number varies by 12 months). These embrace Addition and Subtraction, Multiplication and Division, Shapes, Statistics, Algebra, and so forth., and so forth. That means Fun Math Games there are over 1400 exactly targeted matters in whole in the major part of free-maths.games all of which can be used with all of the actions accessible on the site.\nMoreover, if a participant pots their ball AND an opponent’s ball on their turn, play passes to their opponent. Use your geometry expertise to search out out the right perspective whereas having enjoyable with this on-line math sport. Answer the maths questions and then gather as a lot candy as you’ll be able to for Indignant Andy.\nUtilizing dice is a good way to learn Math details and develop psychological calculation expertise in a fun and straightforward approach. Designed by EducaGames, specialists in instructional https://kids-math-games.com/number-sequence/ VideoGames, fashioned by psychologists and professionals with in depth experience within the instructional field.\nFrequent Core: Each studying activity or sport is aligned with the math standards required by the Widespread Core for various grades. Which means that pupils complete duties that are not only enjoyable but in addition immediately relevant to what they will be assessed on.\nTraining should start in early childhood. Creating math abilities for 3-year-olds and four-yr-olds youngsters is essential for them to be ready for varsity. So, we introduced some easy and fun math video Free Math Games For Kids games for kids. Have your own math-themed celebration by studying find out how to solve the phrase problems on fraction addition.", "label": "Yes"} {"text": "Unformatted text preview: ogica\nLaws on working hours, wages, etc.\nCommunication Exponential Change\nExponential rate of change --- change that happens at a faster and faster\nLinear rate of change --- change that remains fixed\nExample of cassettes on page 16 Exponential change\nWhat is exponential change?\nIf you buy 2 books every month, how many books you would\nhave after months\nhave after 6 months? 2×6=12 If you buy books the first month and you double the amount\nIf you buy 2 books in the first month, and you double the amount\nof books you buy each next month, have, how many books you\nwould have after 6 months?\nAmount you buy: 2 – 4 – 8 – 16 – 32 - 64\nAmount you have: 2 – 6 – 14 – 30 – 62 - 126 Technology Time Line\nTechnology Time Line\nAGRICULTURE BEGINS Fire, Stone Tools\n1m BC PAPER MAKING\nMAKING THE BRONZE AGE\nView Full Document\n- Spring '12\n- Industrial Revolution, Iron Age, Smelting, Technology Begin", "label": "Yes"} {"text": "Math Worksheets Missing Addends – Through the thousand pictures on-line about math worksheets missing addends\n, picks the very best libraries together with ideal resolution simply for you all, and this photographs is among images collections inside our greatest graphics gallery regarding Math Worksheets Missing Addends. 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To see many graphics in Math Worksheets Missing Addends pictures gallery you need to follow this web page link.\nThe Most Incredible and also Attractive math worksheets missing addends\npertaining to Invigorate The house Provide Residence|Cozy AspirationHome\nMath Worksheets Missing Addends Elegant Missing Addend 2 1 3241 955 Pixels Uploaded by Natalie on Monday, December 4th, 2017 in category Math Worksheets Multiplication.\nHere we have another image Math Worksheets Missing Addends Elegant 1967 Best Grade 1 Images On Pinterest featured under Math Worksheets Missing Addends Elegant Missing Addend 2 1 3241 955 Pixels. We hope you enjoyed it and if you want to download the pictures in high quality, simply right click the image and choose \"Save As\". Thanks for reading Math Worksheets Missing Addends Elegant Missing Addend 2 1 3241 955 Pixels.", "label": "Yes"} {"text": "The following events are upcoming and recurring events that support the advancement and participation of minorities in the mathematical sciences. More information may be found on the calendar.\nIf you are interested in having your conference or workshop represented here, first check that your event meets the guidelines outlined here, then contact us at email@example.com with a description of your event.\nSummer 2021 Center Sponsored Workshops\nCreating a Better Summer Experience: A DEI Workshop for REU Directors and Faculty Mentors\nThis workshop, designed for REU directors and faculty mentors, will provide participants with the tools to assist with mentoring underrepresented and minoritized students in mathematics. Sessions will address building supportive communities of scholars, the science of mentoring, and a summary of lessons learned from NSF CORE grant on supporting students of color in the mathematical sciences.\nConference Date: May 22nd, 2021\nRegistration Deadline: May 9th, 2021\nFuture/Recurring Conferences and Workshops\nConference for African-American Researchers in Mathematical Sciences (CAARMS)\nCAARMS is an annual conference that spotlights the accomplishments of mathematicians from underrepresented minority groups. The event includes invited speakers, tutorials, and graduate student poster sessions and provides a forum where minority researchers in the mathematical sciences can meet, learn about work across different mathematical fields, and mentor minority graduate students.\nThe EDGE Summer Session\nThe EDGE Summer Session is for women entering PhD programs and especially encourages the participation of women from underrepresented minority groups. The program includes mini-courses and guest lectures given by faculty researchers and mentoring sessions with faculty and graduate student mentors.\nApplication date: Available December 2020\nBlackwell-Tapia Conference and Award Ceremony\nThe Blackwell-Tapia Conference is a biannual conference in honor of David Blackwell and Richard Tapia. The conference includes scientific talks, poster sessions, panel discussions, networking opportunities, and the awarding of the Blackwell-Tapia Prize. The conference aims to recognize and showcase mathematical excellence by minority researchers and to recognize and disseminate successful efforts to address under-representation. Participants are invited from all career stages and represent institutions of all sizes across the country, including Puerto Rico.\nRichard Tapia Celebration of Diversity in Computing Conference\nThe Tapia Conference brings together undergraduate and graduate students, faculty, researchers, and professionals in computing from all backgrounds and ethnicities. The conference aims to celebrate diversity in computing, connect people from common backgrounds, ethnicities, disabilities, and gender, obtain advice from leaders in academia and industry, and be inspired by presentations and conversations.\nConference date: September 16-19, 2020\nRegular Registration date: August 31, 2020\nInfinite Possibilities Conference (IPC)\nThe IPC is a national conference designed to promote, educate, encourage, and support minority women underrepresented in mathematics and statistics. The conference includes research talks, poster sessions, mentoring and career breakout sessions, professional development, and community. Participants represent women in high school, college, graduate school, postdocs, early faculty, and senior researchers in academia, industry, and government.\nLatinx in the Mathematical Sciences Conference (Latmath)\nLatmath showcases the achievements of Latinx in the mathematical sciences. The conference aims to encourage Latinx to pursue careers in the mathematical sciences, to promote the advancement of Latinx, to showcase research conducted by Latinx, and to build a community around shared academic interests. Activities include research talks, panel discussions, student poster sessions, and pre-conference activities for undergraduate and graduate students.\nConference date: March 4-6, 2021\nSpring Opportunities Workshop\nThe Spring Opportunities Workshop aims to prepare women and underrepresented minorities for work in academia, industry, and government laboratories. The workshop provides an opportunity for women in the mathematical sciences to improve their non-technical skills such as public speaking and professional networking, working in teams, ethical reasoning. Participation is encouraged by graduate students, postdoctoral fellows, junior researchers, and professionals in the mathematical sciences. The conference includes research presentations, professional development sessions, motivational keynote speakers, Graduate School & Career Expo Hall, multicultural celebrations and traditions, and an inclusive and welcoming community.”\nSACNAS National Diversity in STEM Conference\nThe SACNAS conference is the largest multidisciplinary and multicultural STEM diversity even in the country and serves to equip, empower, and energize participants for their academic and processional paths in STEM. The conference include research presentations, processional development sessions, motivational keynote speakers, Graduate School & Career Expo Hall, multicultural celebrations and traditions, and an inclusive and welcoming community.\nConference date: October 22-24, 2020\nRegular Registration date: September 26, 2020\nLocation: Long Beach, CA\nModern Mathematics Workshop\nThe Modern Mathematics Workshop is a two-day workshop held in conjunction with the national meeting of SACNAS. The workshop showcases the contemporary research happening at the NSF Mathematical Institutes. Activities include research expositions aimed at graduate students and researchers, mini-courses aimed at undergraduates, a keynote lecture by a distinguished scientist, and a reception for participants to learn about the Mathematical Institutes.\nWorkshop Celebrating Diversity at SIAM Annual Meeting\nThe Workshop Celebrating Diversity is held in conjunction with the SIAM Annual Meeting. The workshop provides a chance for students to listen to technical talks presented by minority graduate students. The workshop aims to send a clear, explicit message of support from SIAM to members of underrepresented groups, to bring together a mixture of people of different ages and professional experiences, to provide an opportunity for minority graduate students to present their research and learn about careers in applied and computational mathematics.\nModern African Diaspora Joint Mathematics Workshop (ADJOINT) Mathematics Workshop\nThe African Diaspora Joint Mathematics Workshop (ADJOINT) is a two-week summer activity designed for researchers with a Ph.D. degree in the mathematical and statistical sciences who are interested in conducting research in a collegial environment. The main objective of ADJOINT is to provide opportunities for in-person research collaboration to U.S. mathematical and statistical scientists, especially those from the African Diaspora, who will work in small groups with research leaders on various research projects.\nApplication: Tuesday, December 15, 2020\nDates: June 21 – July 2, 2020\nLocation: Berkeley, California", "label": "Yes"} {"text": "Parameter Estimation and Inverse Problems3rd Edition\nRichard C. AsterBrian BorchersClifford H. ThurberPrice: USD: 99.95ISBN: 978-0-12-804651-7Copyright date: Oct 23, 2018\nElsevier Science & Technology\nParameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more.\nGraduate and advanced undergraduate students taking courses in geophysical inverse problems. It is also used as a reference for geoscientists and researchers in academe and industry\n1. Introduction2. Linear Regression3. Rank Deficiency and Ill-Conditioning4. Tikhonov Regularization5. Discretizing by Basis Functions6. Iterative Methods of Solving Linear Problems7. Additional Regularization Techniques8. Fourier Techniques9. Nonlinear Regression10. Nonlinear Inverse Problems11. Bayesian Methods12 Adjoint Methods", "label": "Yes"} {"text": "One ounce is equal to 2 tablespoons.\nFluid ounces to tablespoons (oz to tbsp) conversion table and converter to find\nout how many tablespoons in an ounce.\nTablespoons to fluid ounces (tbsp to oz) conversion table and converter to find\nout how many ounces in tbsp.\nOunces to tablespoon conversion (fl oz to tbsp) helps you to calculate how many\ntablespoon in a ounce volume metric units, also list fl oz to tbsp conversion ...\nConvert Ounces to Tablespoons,Volume Conversions.\nA dry ounce is equivalent to 2 tablespoons. The dry ounce is also equal to 1/8\ncup and 28.3 grams. These simple ... How do I convert dry ounces to tablespoons\nIn general, 1 dry ounce of an ingredient is equivalent to 2 tablespoons. A simple\nformula can be utilized to convert between these two units of...\nConvert how many tablespoons (tbsp) from butter are in 1 ounce (oz). This online\ncooking butter conversion tool is for culinary arts schools and certified chefs.\nQuickly convert ounces into tablespoons (oz to tablespoon [UK]) using the online\ncalculator for metric conversions and more.\n3 teaspoons, 1 tablespoon, 1/2 ounce, 14.3 grams. 2 tablespoons, 1/8 cup ... 5 1/\n3 tablespoons, 1/3 cup, 2.6 ounces, 75.6 grams ... Try the Conversion Calculator", "label": "Yes"} {"text": "Be sure that you have an application to open\nthis file type before downloading and/or purchasing.\n1 MB|8 pages\nIn this quick check math assessment on number sense, students demonstrate knowledge of one more/one less and ten more/ten less than a given number. Included are directions, number cards, checklist, and activity sheet.", "label": "Yes"} {"text": "Benoît Caya October 29, 2020 Reading Worksheets\nOn the first day of each month the canteen cooks hamburgers. The Cook needs 1/10 of a kg of mince, 1/8 of a lettuce and 1/5 of a lettuce for each burger. How much of each item does the Cook need to have on hand if every student (except 5) order a hamburger? It takes Principal Jones 20 minutes to walk from his house to the school. If he walks to the school in the morning and home in the afternoon. How long will he walk in total in 1 school week? How long will he walk in total in a 9 week term? The school day starts at 9:00 a.m. First break is from 11:00 a.m to 11:20 a.m. The second break is from 1:00 p.m to 1:40 p.m. The school day finishes at 3:00 p.m. How much time do the students spend in class in one day? How much time do the students spend in class in one week? How much time do the students spend on break in one day? How much time do the students spend on break in one week?\n1st grade math worksheets and my Mom has math teaching style. Math will not be as terrible as it seems if parents take interest in preparing their little ones for math before school age. I grew up not understanding how it is that people talk about math as difficult as they do, it was my best subject at school. It was easy because of my upbringing that ensured that math and I got acquainted long before school. My mother who was a primary grade teacher told me how she began teaching me math in different guises at home before I got to school age. I remember that with my Mom everything was somehow connected to math. She made me count the buttons in my shirt as she dressed me up, asked questions that demanded answers that are related to sums, like how many pair of shoes do you have? How many buttons are there on your Daddy has shirt? Count all the furniture in the living room and several math games.\nA comprehensive set of worksheets covering a variety of subjects can be used to expand your child has learning experience. A worksheet about shapes can be used as part of a game to find shapes around the house, counting worksheets can be used to count things you see in the grocery store and so on. Almost everything you do with your child can be turned into an opportunity to learn - and worksheets can give you the guidance you need to find those opportunities. Worksheets that include topics such as social and natural science will help to expand your child has horizons, teaching them about their environment and how things work, while improving their vocabulary at the same time. A worksheet about farm animals can initiate a visit to the farm area at the zoo, or to a real farm, where your child can explore and learn even more.\nRemember to select worksheets that are the right level difficulty for your child. Get something too hard, and your child will become discouraged. Make it too easy, and they will not learn much. Home-school worksheets are far more than busy work. They are an important part of making sure that the concepts you teach in your home school stick with your child. Just make sure you have a good source for providing the worksheets, and that they are the right ones for your kid or kids.\n1st grade worksheets are used for helping kids learning in the first grade in primary schools. These worksheets are offered by many charitable & commercial organizations through their internet portals. The worksheets provide study materials to kids in a funky & innovative way, to magnetize them towards learning. These worksheets are provided for all subjects present in a 1st grade school curriculum covering English, math, science & many others. Worksheets are also provided for developing & nurturing the thinking skills of a student too in the form of crossword puzzle & thinking skill worksheets. Moreover, many 1st grade worksheet providers as well provide time counting & calendar worksheets as well to test the IQ of the kids.\nIn our area, in the middle of Wayne National Forest, hunting is such a part of the culture that the first day of gun season, the Monday after Thanksgiving, is known in the schools as \"Deer Day.\" That day is written into the school calendar as a day when schools are closed so students can go hunting. Naturally, my son wanted to join in, so he took the required \"Hunters Safety Course\" offered by the Ohio Department of Natural Resources. He earned a 98% on the test. His internal motivation was obviously stronger than anything we could do or offer.\nTag CloudMixed Tense Exercises Test Free Printable Worksheets For Middle School High School Worksheets Quadrilateral Worksheets High School PDF Inference Worksheets PDF 2nd Grade Free Printable 7th Grade Math Worksheets Forensic Science Worksheets For High School Middle School Math Worksheets PDF Scatter Plot Worksheets For Middle School PDF Identifying Theme Worksheets High School High School Spanish Worksheets High School Geometry Worksheets Environmental Science Worksheets For High School PDF Self Esteem Worksheets For Elementary Students High School Geometry Worksheets PDF Magic School Bus Worksheets PDF Analogies Worksheet 8th Grade Exercise Of Tenses For Class 6 Using The Pythagorean Theorem Worksheet 7th Grade History Worksheets elementary school worksheets Past Simple And Past Continuous Reading Comprehension PDF 6th Grade Art Worksheets Past Perfect Reading Comprehension Multiple Choice 8th 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Free Home-school Printable Worksheets Physical Education Worksheets PDF 10th Grade Geometry Worksheets Past Simple Regular Verbs Exercises Online Second Conditional Speaking Activities PDF Genetics Worksheet Middle School PDF Inference Worksheets 3rd Grade High School Printable Worksheets Compound Words For Class 2 Waves Worksheet Middle School PDF Pythagorean Theorem Worksheet Series And Parallel Circuits Worksheet High School Map Skills Worksheets 4th Grade PDF Learning Styles Worksheet Middle School High School Algebra Worksheets PDF Lab Safety Worksheet High School High School Economics Worksheets African American History Worksheets High School PDF English Grammar Worksheets For Class 4 Character Traits Worksheet 3rd Grade School Supplies Worksheet Middle School Health Worksheets Middle School Health Worksheets PDF middle school worksheets Prefix And Suffix Worksheets Middle School PDF Pythagorean Theorem Problems Worksheet Scale Drawing Worksheets For Middle School PDF Preposition Exercise Class 8 Geometry Pythagorean Theorem Worksheet High School Math Problems Worksheets Subject Verb Agreement Exercises For Class 9 5th Grade Art Worksheets Integrated Grammar Exercises For Class 6 Theme Worksheets PDF 4th Grade High School Algebra 1 Worksheets News Writing Exercises For Elementary Students Character Traits Worksheet 3rd Grade PDF", "label": "Yes"} {"text": "By Jörg Bewersdorff\nRead Online or Download Algebra für Einsteiger: Von der Gleichungsauflösung zur Galois-Theorie (German Edition) PDF\nSimilar algebra books\nThe speculation of generalized inverses of genuine or complicated matrices has been expertly built and documented. however the generalized inverses of matrices over earrings have obtained complete remedy just recently. during this ebook, the writer, who contributed to the study and improvement of the idea, explains his effects.\nThis 2002 ebook offers the reader with mathematical instruments taken from matrix calculus and zero-one matrices and demonstrates how those instruments vastly facilitate the applying of classical statistical methods to econometric versions. The matrix calculus effects are derived from a number of simple principles which are generalizations of the foundations of normal calculus.\nWhile now not used each day, simple arithmetic strategies are tricky to keep in mind and use. while humans plan to come back to varsity, they have to take front and location assessments with an important math element. Idiot's publications: simple math and Pre-Algebra is helping readers come back in control and relearn the first thoughts of arithmetic, geometry, and pre-algebra so one can move front assessments, corresponding to the GED, ASVAB, and Praxis, in addition to remedial math classes.\nUtilizing real facts to make math significant to scholars, Jay Lehmann’s algebra sequence makes use of a curve-fitting method of version compelling, real-world events, whereas answering the perennial query “But what's this reliable for? ” starting with attention-grabbing facts units, scholars are requested to discover types and derive equations to slot a situation, aiding them to appreciate capabilities graphically, numerically, and symbolically.\nAdditional info for Algebra für Einsteiger: Von der Gleichungsauflösung zur Galois-Theorie (German Edition)\nAlgebra für Einsteiger: Von der Gleichungsauflösung zur Galois-Theorie (German Edition) by Jörg Bewersdorff", "label": "Yes"} {"text": "Visit theNational Library of Virtual Manipulativesto entry a range of on-line activities for faculty students, each involving digital objects such as cash and blocks. We did our analysis and found the most effective resources to teach math ideas, problem solving and important thinking for pre-K and up. Students at one college district mastered 68% extra math skills on average after they used Prodigy Math. Stick-figure strip that includes humour about expertise, science, mathematics and relationships, by Randall Munroe. There is a treasure trove of video lectures on mathematics on videolectures.net.\nBuzzMath focuses on helping middle schoolers apply their math expertise. It accommodates high-quality issues, provides instant and detailed feedback, and lets students progress at their own pace. Randomly generated values let students retry problems to acquire mastery. Teachers additionally receive detailed outcomes that assist them guide and monitor pupil progress. Learn the talents that will set you up for achievement in decimal place worth; operations with decimals and fractions; powers of 10; volume; and properties of shapes. Learn Algebra 2 aligned to the Eureka Math/EngageNY curriculum —polynomials, rational features, trigonometry, and more.\nConsider using this math web site as a mind break or as a means to help children left off some steam while polishing up their math abilities. When applicable, it will present answers utilizing graphs, photographs and written explanations. Keep in mind, there is presently no functionality to enter your personal equations. So, college students https://www.topschoolreviews.com/outschool-review cannot use WolframAlpha Math to unravel specific questions. But you presumably can take equations from the website to unravel at school, utilizing it to evaluate answers. Aimed at center faculty and highschool college students, the website options videos with young professionals who clarify how they use algebra.\nStudents can earn ninja belts of different colors for their ability degree. In-depth classes with videos, guided practice, interactive self-tests, and extra. Check out the lots of of games on this web site and on Coolmath4kids. Personalized math curriculum that includes digital classes and small-group instruction. Also has on-line modules, workbooks and reply keys, and professional growth. Here’s an online learning house that is participating, supportive, and designed to get youngsters excited about math.\nThis interactive online device helps students grasp fundamental facts. Set up as a whole-class or small-group competitors, students earn ninja playing cards and observe outcomes on a ninja scoring poster. Two board video games that train operations are also obtainable for purchase. Through ongoing research, MIND Research Institute continues to analyze key questions about studying, arithmetic, and the way the mind works. ST Math is their pre-K–8 visual tutorial program, helping teachers engage children extra deeply in math learning.\nThe many topics embody Algebra, Analysis, Game Theory, Graph Theory, Optimization, and Statistics. Statistics is a useful level of math, because it involves gathering and analyzing numbers and data. Statistics is mentioned last in this math information because seniors normally take it in college as a last math course. You can be taught much more with MathHelp, a website that gives resources and tips to improve your test-taking expertise.\nMake math about more than numbers with engaging items, real-world eventualities, and limitless questions. Teachers choose the strand after which arrange college students to work independently. Istation makes customized learning straightforward with computer-adaptive instruction, assessments, personalized data profiles, and instructor sources. Includes digital classes and face-to-face teaching methods.\nLearn the abilities that will set you up for fulfillment in numbers and operations; fixing equations and systems of equations; linear equations and functions; and geometry. Aplus Math supplies Interactive math sources for academics, mother and father, and college students that includes free math worksheets, math games, math flashcards, and more. Tons of enjoyable and educational on-line math games, from basic operations to algebra and geometry. Teachers know that top-of-the-line methods to verify studying sticks is through track.\nFor instance, there are worksheets dealing with Pythagorean theorem. You can even generate word video games andproblems, helping accommodate diverse learning kinds. You can search for a selected subject or browse by class. Quickly, you’ll find videos to make use of during the core components of a lesson or as a learning station.\nThey then pose job-related challenges to two groups of students in the video. Encouraging your class to take the challenges will expose them to the identical algebraic ideas. Created by Utah State University, the net library’s goal is purely to engage college students.", "label": "Yes"} {"text": "Presentation exponential growth and decay section 3.5. objectives. Carbon 14 dating math central. The half life of carbon 14 is 5730 years? yahoo answers.\nBefore reading more about carbon-14 dating, do the following activity to see how In mathematics, a smooth, declining curve of the type just drawn is called, not central to understanding how carbon dating is used to establish the age of an\nRadiocarbon Dating and American Evangelical Christians\nproperties play a central role in their solution. Of course, a .. functions in calculus and higher mathematics. . Archaeology—Carbon 14 Dating. As long as a guide to dating in college dating divas favorite things done", "label": "Yes"} {"text": "The United States currently imports all of it's coffee. The annual demand for coffee by US consumers is given by the demand curve Q = 250 - 10P, where Q is quantity (in millions of pounds) and P is the market price per pound of coffee. World producers can harvest and ship coffee to us distributors at a constant marginal (= average) cost of $8 per pound. US distributors can in turn distribute coffee for a constant $2 per pound. The US coffee market is competitive. Congress is considering a tariff on coffee imports of $2 per pound.\na) If there is no tariff, how much do consumer pay for a pound of coffee? What is the quantity demanded?\nb) If the tariff is imposed, how much will consumers pay for a pound of coffee? What is the quantity demanded?\nc) Calculate the lost consumer surplus\nd) Calculate the tax revenue collected by the government\ne) Does the tariff result in a net gain or a net loss to society as a whole?\nI'm not certain if I am correct on the following or not.\na) Consumers will pay $10 dollars per pound and the quantity demanded would be 23.936 million pounds.\nb) I am not sure how to get started on this part.© BrainMass Inc. brainmass.com October 9, 2019, 7:04 pm ad1c9bdddf\nCalculate the lost consumer surplus.", "label": "Yes"} {"text": "We?ve written before about howusing yourhands can help your memory. Are your kids?or you?havingtrouble with math? Another reason to use your hands!\nPsychologists have discovered that kids who are told togesture while doing math are more likely to solve mathproblems. Researchers conducted two studies with a total of176 children in late third and early fourth grade. SaraBroaders and her colleagues randomly assigned the studentsto do different manipulations. Some were told to gesture,others were told not to gesture, and some were not toldanything either way (they were the controls). These were allkids had made mistakes in solving math problems in the past.\nStudents had to solve six math problems on a chalkboard andexplain to an experimenter how they solved each problem. Theresearchers coded the children?s videotaped efforts,analyzing gestures and utterances that conveyedproblem-solving strategies.\nChildren who were told to move their hands when explaininghow they?d solve a problem were four times as likely tomanually express correct new ways to solve problems. Andeven though they didn?t give the right answer, theirgestures revealed an implicit knowledge of mathematical ideas.\n“Mankind is trapped. I want to help you spring the trap.””The veil between the worlds can fall. The undiscoveredcountry can become your backyard.””Your destiny, each of you, is to become all of God.”Find out whosaid these provocative words.\nNOTE: This news story, previously published on our old site, will have any links removed.\nSubscribers, to watch the subscriber version of the video, first log in then click on Dreamland Subscriber-Only Video Podcast link.", "label": "Yes"} {"text": "Combino is an hybride game composed by three games an edition, a 2D game cards and a 3D construction blocs.\nDyscalculia is difficulty in learning or comprehending arithmetic, such as difficulty in understanding numbers, learning how to manipulate numbers, and learning facts in mathematics. It is generally seen as a specific developmental disorder. Dyscalculia is a persistent disorder.\nFor a dyscalculia child to perform an operation as simple (in appearance) as 1 + 1, or to associate two fundamental forms, is a complicated task, which can handicap them heavily.\nCombino is a dyscalculia game for children from 2 to 7 years. You can practice Combino with a speech therapist and continue the rehabilitation at home with your children using the poster and the explanation book called \"Plans de Jeu\". Is compose by three independent games : an edition print in risography, a 2D cards game printed on PVC with a UV proccess and a construction blocs made of polyethylene injected (bi-colors. You can Combine them or play separately which makes Combino an hybrid game.\nThe full Combino game\nOne part of the seconde game, children must find the geometric model hidden in the edition with 2D cards\nSuperposition of colors : we speak of inclusion of colors\n© Photo Credit Miko/Miko Studio\n© 2018 par Eisenlohr Adrien", "label": "Yes"} {"text": "RAND Function – Generate Random ‘Decimal’ Numbers In Excel\nIn my last article I discussed about how to generate RANDOM numbers in Microsoft Excel which is very easy using the function RANDBETWEEN. You type the function in excel and provide the Bottom and Top number (as lower and upper limit) and you get the Random numbers.\nBut if you notice carefully all these randomly generated numbers are integer type numbers, therefore, in this article I will discuss with you how to generate Decimal Random Numbers.\nOne solution is to divide the output of RANDBETWEEN numbers by 10, 100 or 1000, i.e., in multiple of 10.\nBut the problem is the integer part of these numbers will reduce and the number will not be within bottom and top range.\nFor example, suppose the output of RANDBETWEEN is 4387 and we divide it by 10, it will turn into 438.7, divide by 100 it will be 43.87, further divide by 1000, the output will be 4.387.\nWhich is not desirable.\nThe solution is to use RAND function.\nLets first discuss about the RAND Function.\nThe syntax for the RAND function in Microsoft Excel is very simple.\nParameters or Arguments\nNo parameters or arguments require for the RAND function.\nNote : The Microsoft Excel RAND function returns a random number which is greater than or equal to 0 and less than 1. The RAND function returns a new random number each time your spreadsheet recalculates, similar to RANDBETWEEN function.\nTo use RAND function type =RAND() and press enter and you are done.\nBut did you noticed integer part is missing, why ?\nBecause RAND function output is from 0 to 1.\nSo, you can modify your formula by multiplying 10 and you may or may not get the decimal number having integer part.\nThis is because if the output of RAND function is starting with 0 then the number will be without having any integer part.\nAlso notice that we have no control over these Random numbers i.e., no upper or lower boundary or limit is implemented.\nThe Solution :\nThe solution is to modify the formula as below :\nWhere B represents Upper limit or Top number and A presents the Lower limit or bottom number.\nWhat is the function of (B-A)+A in RAND formula ?\nThe Ordering of Mathematical Operation teaches us that multiplication is first to be calculated in this formula and then addition and then Subtraction will be applied.\nThe steps are\n1. RAND generates a random number between 0 to 1\n2. This number gets multiplied by B and A\n3. New numbers are subtracted\n4. then summed up by A\nHope you have enjoyed this article …\nKeep reading, sharing & Stay blessed …", "label": "Yes"} {"text": "Calculus Optimization: Cone of Maximal Volume Inscribed in a Sphere\nLots of classical calculus problems involve finding the optimal dimensions of a shape inscribed in a sphere so that the shape has the largest possible volume. One of the easiest examples of such a problem is finding the dimensions of a cylinder inscribed within a sphere. Here we tackle a very similar problem, finding the maximum volume cone that can fit inside a sphere. Though a cone has two independent measurements, base radius and height, the constraint that it must fit inside a unit sphere (sphere of radius 1) lets us transform a two-variable calculus problem into a simpler single-variable calculus problem.\nStep 1: Transforming a 2-Variable Equation Into a 1-Variable Equation\nThe formula for the volume of a cone is V(r, h) = (π/3)hr^2. Here, the function V is a function of r and h. But when a cone must fit exactly inside a unit sphere, we can discover a relation between r and h that allows us to rewrite r as a function of h, or h as a function of r. The figure below shows how we can relate r and h for a cone inscribed in a unit sphere.\nWhen a cone is inscribed in a unit sphere, the relation between h and r is\n(h-1)^2 + r^2 = 1\nwhich can be simplified to\nh^2 - 2h + 1 + r^2 = 1\nh^2 - 2h + r^2 = 0\nr^2 = 2h - h^2\nr = sqrt(2h - h^2)\nNow we can rewrite the cone volume formula solely in terms of h:\nV(r, h) = (π/3)hr^2\nV(h) = (π/3)h*[sqrt(2h - h^2)]^2\n= (π/3)h(2h - h^2)\n= (π/3)(2h^2 - h^3)\nStep 2: Taking the Derivative, Finding h and r\nThe last step is to take the derivative of the volume function V(h), set the derivative expression equal to zero, solve for h, and then use our value of h to back solve for r. Doing so gives us\nV'(h) = (π/3)(4h - 3h^2)\n(π/3)(4h - 3h^2) = 0\n4h - 3h^2 = 0\n4h = 3h^2\n4 = 3h\nh = 4/3\nSo the cone with a maximal volume that can be inscribed within a unit circle has a height of 4/3. To figure out the value of r, we use the expression r = sqrt(2h - h^2) that we found in Step 1. Plugging h = 4/3 into this expression gives us\nr = sqrt(8/3 - 16/9)\nFinally, we can write the solution as h = 4/3 and r = sqrt(8/9). The volume of this cone works out to be\nV = (π/3)(4/3)(sqrt(8/9))^2\nThe volume of a unit sphere is 4π/3, which means the cone of maximal volume takes up 8/27 or about 29.63% of the unit sphere's volume.\nComparison to the Cylinder Problem\nIn the closely related problem of a finding a maximal volume cylinder inscribed within a unit sphere, the optimal dimensions turned out to be h = 2/sqrt(3) and r = sqrt(2/3), with a total cylindrical volume of V = 4π/[3*sqrt(3)] ≈ 2.4184.\nSolving as a 2-Variable Calculus Problem\nInstead of transforming this into a single-variable problem, you can solve it as a 2-variable problem using the technique of Lagrange multipliers. This is a technique covered in multivariable calculus or Calc III. With Lagrange multipliers, we call the constraint equation g(r, h) = r^2 - 2h + h^2 = 0 and solve the system of equations\n∂V/∂r = λ*∂g/∂r\n∂V/∂h = λ*∂g/∂h\ng = 0\nwhich is the system\n(2π/3)hr = 2λr\n(π/3)r^2 = 2λ(1-h)\nr^2 - 2h + h^2 = 0\nSince it is a system of non-linear equations, you cannot use matrices to solve it, but instead substitution.", "label": "Yes"} {"text": "At Place Farm Primary Academy, we teach Maths through an engaging and accessible style, using the Mathematics Mastery programme. Mathematics Mastery was developed by the ARK schools and inspired by Maths teaching from Shanghai and Singapore. At Place Farm Primary Academy, Mathematics Mastery is taught from Years One to Six.\nThe Mathematics Mastery curriculum follows the National Curriculum objectives and has been developed to ensure that every child can achieve excellence in Maths. It provides children with a deep understanding of the subject, through the use of a concrete, pictorial and abstract approach. This ensures that children fully understand what they are learning, and are able to explain their methods.\nMathematics Mastery provides fewer topics to be taught in greater depth, and aims for children to calculate equations with confidence. The lessons are taught in six parts, enabling children to explore and discuss concepts with their peers, before working independently. This is invaluable, because it ensures that the children have a secure understanding of each new concept.\nTo reinforce our teaching of Mathematics Mastery, there are many ways that you can support your child at home;\n- Practising multiplication tables\n- Exploring telling the time\n- Weighing and measuring\n- Playing money-focused games\n- Playing board games\n- Looking for shapes\n- Discussing the days of the week and the months of the year\nThere is also a wealth of information available on the Mathematics Mastery website, which can be found at: www.mathematicsmastery.org\nMiss Lister is the Maths Leader at Place Farm Primary Academy.", "label": "Yes"} {"text": "Bass numbers of semigroup-graded local cohomology\nGiven a module M over a ring R that has a grading by a semigroup Q, we present a spectral sequence that computes the local cohomology HIi(M) at any graded ideal I in terms of Ext modules. We use this method to obtain flniteness results for the local cohomology of graded modules over semigroup rings. In particular we prove that for a semigroup Q whose saturation Qsat is simplicial, and a finitely generated module M over k[Q] that is graded by Qgp, the Bass numbers of HIi(M) are finite for any Q-graded ideal I of k[Q]. Conversely, if Qsat is not simplicial, we find a graded ideal I and graded k[Q]-module M such that the local cohomology module HIi(M) has infinite-dimensional socle. We introduce and exploit the combinatorially defined essential set of a semigroup.\nVolume / Issue\nStart / End Page\nInternational Standard Serial Number (ISSN)\nDigital Object Identifier (DOI)", "label": "Yes"} {"text": "Improve your academic performance\nEven if the numbers and operations seem daunting at first glance, following pemdas principles allows students to take a step-by-step approach and build out the final solution one component at a time.\n24/7 Live Specialist\nYou can improve your academic performance by studying regularly and attending class.\nGet help from our expert homework writers!\nReach support from expert professors\nConfidentiality is important in order to maintain trust between parties.\nEach pemdas problem tests logic skills as well as technical math proficiency.\nIf you need help, we're here for you 24/7.\nGet Study is the perfect place to find resources and information for all your academic needs.\nExplain math question\nTo solve a mathematical equation, you need to find the value of the unknown variable.\nBuild bright future aspects\nYou can get expert support from professors at your school.\nBuild brilliant future aspects\nMath can be a difficult subject for many people, but it doesn't have to be! By taking the time to explain the problem and break it down into smaller pieces, anyone can learn to solve math problems.\nClear up mathematic problem\nThis step-by-step guide will show you how to easily learn the basics of HTML.\nApplying this acronym can help beginners and advanced students alike approach sample pemdas problems with more confidence.\nGET HELP INSTANTLY\nSometimes the best solution is the one that's right in front of you.\nClarify mathematic equation\nReliable support is essential for any business.\nTrack Way is a great place to go for a run.", "label": "Yes"} {"text": "course 3 chapter 3 equations in two variables worksheet answers lesson 4 homework practice mathcounts4evercourse 3 • chapter 3 equations in two variables name date period lesson 5 homework practice graph a line using intercepts state the x and y intercepts of each function 1 6x 8y = 24 x intercept —4 y intercept 3 2 x gy = 18 x intercept 24 y intercept 3 4 10a loy = 20 x intercept 48 y intercept 36 x lntercept 2 y intercept 2 3 x y = 12 5 x y = 1 x intercept 1 y.\nSo Worksheets if you wish to have all these great graphics regarding course 3 chapter 3 equations in two variables worksheet answers, just click save icon to download the photos for your laptop. They are all set for download, if you love and want to grab it, just click save badge on the page, and it’ll be immediately downloaded in your home computer.\ncourse 3 chapter 3 equations in two variables answer key line homework and grading tools for instructors and students that reinforce student learning through practice and instant feedback course 3 chapter 3 equations in two variables answer key. chapter 3 section 3 1 reading graphs linear equations chapter 3 section 3 1 reading graphs linear equations in two variables objectives 1 interpret graphs 2 write a solution as an ordered pair 3 decide whether a given ordered pair is a solution of a given equation 4 plete ordered pairs for a given equation 5 plete a table of values 6 plot ordered pairs.\nThanks for visiting our website, articleabove course 3 chapter 3 equations in two variables worksheet answers published by admin. At this time we are excited to declare we have found an incrediblyinteresting topicto be discussed, namely course 3 chapter 3 equations in two variables worksheet answers Many individuals trying to find details about and of course one of these is you, is not it?\nhigh school inequalities resources29 best algebra resources images on pinterestlinear inequalities in two variablespair of linear equations in two variables class 10 solutionsclass 10 mathematics chapter 3 ncert exemplar solution part ivalinear inequalities in two variablesalgebra 1 word problems worksheet with answers worksheets for allread manga neko ane vol 001 ch 005 helping with homework holt prereview 2 more linear equations assignment answers with xand graphing linear inequalities in two variables11 best maths class 10 ncert solutions images on pinterestdifferential equations separation of variablesalgebra archive october 11 2017solving linear equations and linear inequalities — harder examplepair of linear equations in two variables class 10 solutions", "label": "Yes"} {"text": "- July 25, 2019 at 11:28 pm\nI know this seems like an elementary question, but I’m not having any luck accomplishing my task. So if I have a circle and I want to add a line from the center of the circle and have it intersect with the circle, how do I do it? I’ve tried everything I can think of and it won’t make a complete path. I’m wanting it to combine so when I send it to the CNC it will start at the point in the middle of the circle and then travel along the straight line and complete the circle. I can not for the life of me get it to work. Please help!!!\nLog in to reply.", "label": "Yes"} {"text": "Read the problem looking for keywords and values:\n- What type of variable is the focus of the problem? Is it quantitative, e.g. a mean, or categorical, e.g. a proportion or percent?\n- How many variables are of concern?\n- Is(are) the population(s) standard deviation, sigma, given?\n- Are sample variances equal or are you instructed to assume they are equal?\n- What is(are) the sample size(s)?\n- Is a claim or proposition mentioned?\n- Are you given summary statistics or raw data?\nAt many golf clubs, a teaching professional provides a free 10-minute lesson to new customers. A golf magazine reports that golf facilities that provide these free lessons gain, on average, $2100 in green fees, lessons, or equipment expenditures. A teaching professional believes that the average gain exceeds 2,100, and collects data (shown below in the solution examples) on the gain from 15 clubs in his area. At the 0.05 level of significance, does the data support the claim?\nWhat should you glean from reading the problem statement?\n- This is a single-sample test about a mean.\n- The teaching professional believes that average gain exceeds $2100. Thus the claim is that the mean gain exceeds $2100. The phrase “exceeds $2100” indicates the claim contains the “>” math operator which is a form of inequality. Thus, the claim must be the alternative hypothesis, Ha: μ > $2100, because the null must be an equality.\n- The null hypothesis is always the complement of Ha and is Ho: μ <= $2100.\n- Because Ha contains the > operator, this is a right-tailed test. Remember the mnemonic that the math operator in the alternative points toward the tail of the test.\n- We are given raw data, N = 15, and we do not know the population standard deviation, sigma. Because we do not know sigma and N is less than 30, we must use a t-test for a small sample.\n- The degrees of freedom for the t-test are N-1 or 14.\n- If the t-test statistic for the data is greater than 1.76 (or p<0.05), we reject the null and accept the alternative.\n- Using technology, see below, the test statistic is 1.85 which is greater than 1.76 and falls in the rejection region. Accordingly, the p-value is 0.0425 which is less than alpha = 0.05. Both methods indicate the null hypothesis should be rejected in favor of the alternative.\n- Because the claim is the alternative, which has been supported, the conclusion is “There is sufficient evidence to support the claim that the average gain from giving free lessons to new customers is greater than $2100.”\nStatCrunch: The data is in column “gain.” 1. Select Stat>T Stats>One Sample>With Data. 2. In the One Sample T dialog box (2), click on “gain” in the Select Column(s) section, select the Perform Hypothesis test for µ radio button. Enter the null hypothesis, Ho: μ= 2100. Select > in the Ha: μ > 2100 and click Compute. 3. The results of the hypothesis test are in the box (with Options button) that opens. The t-test statistic is 1.85 and the p-value is 0.0425.\nThe data is in column A. Select PHSTAT>One-Sample Tests>t-test for Mean, sigma unknown. In the dialog box that opens, enter the Null Hypothesis of 2100, the Level of Significance of 0.05, click on Sample Statistics Unknown, enter the range of the data values, check that the First cell contains a label, select an Upper-tail Test and click OK.\nA new tab will be inserted with the name Hypothesis. The t-test statistic is 1.85 and the p-value is 0.0425.", "label": "Yes"} {"text": "12 of 12 people found the following review helpful\n= Durability: = Fun: = Educational:\nVerified Purchase(What is this?)\nThis review is from: Educational Wooden Toys : Number flat puzzle 24 months + (Baby Product)\ni bought this puzzle for my nursery children where i work, they fully enjoy the puzzle and take it out if its not been put on the table. the pieces are easy to take out and put back and are the right size for there little fingers. i would recommend this puzzle for people who work or people who have children as its a fun way of learning how to count from 1 to 10.", "label": "Yes"} {"text": "Hypothesis testing relates to the basic concepts of Statistics. Some of the basic statistics are Parametric, Non Parametric tests, Confidence intervals, alternate hypothesis, Significance of tests and many other tests. Thus, you may get that the related topics are simple but sometimes these can provide a complex problems that need appropriate solutions. Thus, the requirement of Hypothesis Testing Homework Help is increasing day by day.\nHow do you get an exact solution for Hypothesis Testing homework?\nDo you think that every solution related to Hypothesis testing is accurate? Yes, all solutions provided to all students are perfect as the hypothesis experts are there to provide you an exact solution you are looking for. The professionals are experienced and thus they know how to represent each and every solution to make it cent percent effective as well as to the point. Each pattern of experts does not match with your answered as they know how to explain a small topic or concept in a perfect way.\nWhen should you take Homework help related to Hypothesis test?\nHypothesis Testing Homework Help knows your homework importance. You should take when you desire to get the concept to improve your academic career. The answers provided by them will surely remove your hesitation. Every time you follow all solutions you will get an effective pattern of writing.\nWhat are the different solutions relate to?\nThe solutions are not always simple as there are many topics that relate to the subject and responsible for different conditions. Some important tests are Decision-Rulet Test, Z-test, Power of a test, Hypothesis formulation, testing a proportion, ANOVA, Testing a proportion, Sampling Theory and many other related topics. Professionals know that which topic is perfect for which solution.\nHence, Hypothesis Testing Homework Help easily solve out the problems of different topics. You will easily get that “What is the need of Forecasting Homework Help for students?â€", "label": "Yes"} {"text": "Independent simple random samples of 950 men and 2500 women are tested. Among the men in the sample, 81 have red/green color blindness. Among the women in the sample, 9 have red/green color blindness.\nThe value of the test statistic is z= (round to at least three decimal places).\nA sample of 56 students who live on-campus has a mean GPA of 83.7 with a sample standard deviation of 7.44. A independent sample of 42 students who live off-campus has a mean GPA of 82.4 with a standard deviation of 5.45\nThe value of the test statistic is\nThank You ?\nPlease thumbs up\nGet Answers For Free\nMost questions answered within 1 hours.", "label": "Yes"} {"text": "In practice structural equations are often estimated by least-squares, thus neglecting any simultaneity. This paper reveals why this may often be justifiable and when. Assuming data stationarity and existence of the first four moments of the disturbances we find the limiting distribution of the ordinary least-squares (OLS) estimator in a linear simultaneous equations model. In simple static and dynamic models we compare the asymptotic efficiency of this inconsistent estimator with that of consistent simple instrumental variable (IV) estimators and depict cases where -- due to relative weakness of the instruments or mildness of the simultaneity -- the inconsistent estimator is more precise. In addition, we examine by simulation to what extent these first-order asymptotic findings are reflected in finite sample, taking into account non-existence of moments of the IV estimator. By dynamic visualization techniques we enable to appreciate any differences in efficiency over a parameter space of a much higher dimension than just two, viz. in colored animated image sequences (which are not very effective in print, but much more so in live-on-screen projection).\ninvalid instruments simultaneity bias weak instruments 4D diagrams due to relative weakness of the instruments or mildness of the simultaneity", "label": "Yes"} {"text": "I asked a question regarding negative values of null dyads in dyad census I had previously and thanks to Szhorvat for answering it. It was very helpful. I have a follow-up question I would appreciate any insights if possible. Research in multigraph recognizes social network data often comprise multiple edges and loops in their natural state and simplifying by collapsing edges and removing loops discards information inherent to the network. I’m just wondering if dyad census in igraph would consider offering a way to take into account multiple edges and loops in the analysis? Or is this question irrelevant to dyad census? I hope it’s not weird to think negative values of null dyad is making sense as long as the sum of MAN still comes to 10, the total number of isomorphism classes. And the pattern I had did reflect actors’ behavior well. I cannot find any research about multiple edges in dyad census and would appreciate any reference to any. Thanks so much.\n“Dyad census” simply means counting how many pairs of vertices have:\no o, no connection\no --> o, a unidirectional connection\no <-> o, a bidirectional connection\nSince dyad census just means counting different types of vertex pairs, negative values obviously make no sense. As I said in the other thread, the negative value is a result of integer overflow, i.e. a computational limitation. This will be partially addressed when R/igraph is updated to use version 0.10 of C/igraph (i.e. likely in igraph 2.0).\nWhenever a negative value appears, there should be a warning message, as below:\nIf you don’t see a warning, please show a complete minimal example that reproduces the issue, so we can track down and correct the problem.\nThe classic “dyad census” is plain counting of vertex pairs, so self-loops and multi-edges are ignored. There are possible generalizations of the idea, but those would be a different concept.\nYou may want to look into the literature on weighted motifs (not implemented in igraph at the moment).\nEdge multiplicities can be regarded as edge weights. Based on these, one may assign a weight to each subgraph that’s being considered, and instead of counting subgraphs directly, we can add up their weights.", "label": "Yes"} {"text": "in graphic how a graph photoshop paper can recreate design grid i, number graph line paper matkappco, on paper cheap alibabacom graph find line at deals buy, meters paper template graph interior floor grid plan design in for, graph doc premium 12 paper pdf templates free, ot letter toolbox trick handwriting graph the spacing paper, image printable flat paper stock design vector line graph background , equation linear properties of for graph graphing, ejthompsonco software free paper online draw on graph, 1 log labeled excel best of paper graph cm semi number editable line\nWe found 19++ Images in On Line Graph Paper Gallery:\nConstructing Math Line Goodies Graphs 2019\n- Print Printable Grid Download Paper Graph Online Free All And\n- Paper Graph\n- Line To Graph How With Wikihow Pictures Make A Steps 8\n- Printable 8 Template Inch Paper Lines Documents Graph Per Free\nTop 15 On Line Graph Paper\nOn Line Graph Paper Online Graph Paper Drawing Tool Graphsketch Uploaded by on Monday, August 27th, 2018 in category Graph Paper Worksheets.\nHere we have another image On Line Graph Paper College Ruled Graph Paper Line Template Monster Powerpoint Graphs Template Line Graph Paper featured under On Line Graph Paper Online Graph Paper Drawing Tool Graphsketch. We hope you enjoyed it and if you want to download the pictures in high quality, simply right click the image and choose \"Save As\". Thanks for reading On Line Graph Paper Online Graph Paper Drawing Tool Graphsketch.", "label": "Yes"} {"text": "I found the lab about Randomized Response Surveys, from chapter 6, interesting. This lab has the reader explore how to get accurate data from a survey and how to evaluate that data.\nAn important mathematical term introduced in this lab would be bias, which is the difference between an estimate’s expected value and the true value to be estimated. Expected value would actually be another term defined in this chapter, there is actually a fair amount of vocabulary.\nA good example question from this lab is without doing any simulations, guess the general shape of the functional relation between Pr(Heads) for the penny and the SD of the estimate. How do you think the estimator will behave if Pr(Heads) is near 0? near 1? Record your guess in the form of a sketch of a graph of SD (theta) as a function of theta = Pr(Heads).\nI think the general nature of statistics, having to adjust for unexpected circumstances and how you apply logic and patterns to those circumstances is what fascinates me about this lab.", "label": "Yes"} {"text": "I used to drive a VW bug back then.... It didn't even get to 60mph... it was struggling to reach 55mph even...\nHey, I can hijack my own thread!\nEnough OT, let's go back to DoF, or is everyone satisfied so far?\nAnother way to see it (keeping it simple) is that when comparing two different formats and same AOV (angle of view), then the DOF is approximately the same for a given aperture diameter (not the aperture ratio).\n4x5 using a 105mm at f/8 will have approximately the same DOF as 8x10 using a 210mm at f/16, since the aperture diameters for 105mm at f/8 and 210/mm at f/16 are the same\nAs the focal length of a lens increases the DOF decreases..I believe that stands for the most part with all formats. Switching between formats and lenses one might notice a difference, but if using the appropriate lens for a particular format things should fall into place. You have to test this with the same subject, same distance different formats, same f-stop. As always there is some interesting technical information here but again I believe understanding the basics of this is key.\nJust my thought.\nYes, nobody works in aperture dimensions, but you could use an empirical method using the ratio between the focal length of the lenses and adjust the aperture value (f/stops) accordingly.\nLet's say that a 160mm lens on 4x5 gives you the same AOV of a 320mm lens on 8x10, then the ratio 320/160=2. You have to multiply by 2 the aperture in the 320mm to get the same DOF as the 160.\nIn the case of the OP, to get the same DOF in 35mm using a 50mm lens and 6x4.5 using a 80mm lens, you need to multiply by 1.6 the aperture in the 80mm lens. Here the results are approximate since the film proportions and angle of view between the two are not the same.\nIn the attachment there are two examples with data obtained from the online DOF calculator http://www.dofmaster.com/dofjs.html", "label": "Yes"} {"text": "Explore Taylor polynomials graphically and analytically, as well as graphically determine the interval where the Taylor polynomial approximates the function it models.\nIn this problem, students investigate a Taylor polynomial centered at zero.\nStudents will recall that this Taylor polynomial is also known as a Maclaurin polynomial. Students find the 4th degree Taylor polynomial that approximates f(x) = ln(x + 5) at x = 0. They will notice that the values are closest at the center and become farther apart the further the x-values are from the center.\nThis problem also gives students the opportunity to explore different degrees of a Taylor polynomial. They use the Taylor command to find the respective polynomials and graph the function with each of the larger power polynomials in turn.\nThis will demonstrate that a Taylor polynomial will only approximate the function over a given interval, no matter how large the Taylor Polynomial is.\nAt the end of this activity, students will be able to find the first few terms of a Taylor series approximation to a function for any given value of x. They will also be able to graph a function and its Taylor polynomials of various degrees to show their convergence to a function.\n© Copyright 1995-2024 Texas Instruments Incorporated. All rights reserved.", "label": "Yes"} {"text": "Question: Is it possible for events A and B to be\nIs it possible for events A and B to be both mutually exclusive and independent? Justify your answer.\nRelevant QuestionsRefer to Exercise 4.23. Define the following events. Event A: A randomly selected government employee having an advanced college degree would accept a promotion Event B: A randomly selected government employee having an ...Of a finance company’s loans, 1% are defaulted (not completely repaid). The company routinely runs credit checks on all loan applicants. It finds that 30% of defaulted loans went to poor risks, 40% to fair risks, and 30% ...Conditional probabilities can be useful in diagnosing disease. Suppose that three different, closely related diseases (A1, A2, and A3) occur in 25%, 15%, and 12% of the population. In addition, suppose that any one of three ...Suppose the random variable y has a Poisson distribution. Compute the following probabilities: a. P(y = 4) given μ = 2 b. P(y = 4) given μ = 3.5 c. P(y > 4) given μ = 2 d. P(1 ≤ y The College Boards, which are administered each year to many thousands of high school students, are scored so as to yield a mean of 513 and a standard deviation of 130. These scores are close to being normally distributed. ...\nPost your question", "label": "Yes"} {"text": "2nd Grade Research and Inquiry Resources\n• Children will use the Internet to do research and inquiry on fractions.\n• Children will learn more about how to tell if one fraction is larger or smaller than another fraction.\n• Children will solve fraction problems on a worksheet by circling the larger of two fractions.\nThis site is presented by Webmath. The site has math activities and information for grades K• 8. It also provides resources for solving a variety of math problems.\n• Have children create fractions using crayons.\n• Have children compare their fractions and tell which one is larger.\n• Have children connect to http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/fractions/level1.htm. Then have children:\nPlay the game. Have children type the number of children sharing the pizza. They then click on Check and see the pizza divided in the right fractions. They click on Next to continue to the next question.\nHave children draw a picture of a pizza and divide it into slices according to how many people they will share it with.\nHave children write a fraction for one slice of the pizza they drew.", "label": "Yes"} {"text": "Table of Contents\nHow do you convert between metric units?\nTo convert from one unit to another within the metric system usually means moving a decimal point. If you can remember what the prefixes mean, you can convert within the metric system relatively easily by simply multiplying or dividing the number by the value of the prefix.\nHow do you convert between two units?\nIn a nutshell, do all conversions of units by multiplying the original measurement by a well-chosen form of the number 1. A bit less briefly: Find the conversion factor for the given and desired units, and write it as a fraction with the given units in the opposite position from the original measurement.\nHow do you convert between imperial and metric units?\nHow to Convert Imperial to Metric\n- Find the right conversion number (see Metric – Imperial Conversion Charts)\n- If the answer is in the thousands or millions (or thousandths or millionths), then drop the zeros and use the correct prefix (see Metric Numbers)\nWhat are examples of metric units?\nThe metric system has meter, centimeter, millimeter, and kilometer for length; kilograms and gram for weight; liter and milliliter for capacity; hours, minutes, seconds for time.\nWhat is conversion formula?\nConversion Rate = Total number of conversions / Total number of unique visitors * 100. Conversion Rate = Total number of conversions / Total number of leads * 100.\nHow do you convert standard units?\nStandard units are dimensionless. If the original list has units, the original SD has the same units. To transform a measurement to standard units, we divide the measurement (minus the mean) by the SD, which cancels the original units.\nWhat is an example of a famous unit conversion failure?\nSome Famous Unit Conversion Errors! Orbiter spacecraft after a 286-day journey to Mars. Thrusters used to help point the spacecraft had, over the course of months, been fired incorrectly because data used to control the wheels were calculated in incorrect units.\nWhat are the 7 basic units of measurement in the metric system?\nThe seven SI base units, which are comprised of:\n- Length – meter (m)\n- Time – second (s)\n- Amount of substance – mole (mole)\n- Electric current – ampere (A)\n- Temperature – kelvin (K)\n- Luminous intensity – candela (cd)\n- Mass – kilogram (kg)\nWhat are the three metric system?\nMetric system basics The three most common base units in the metric system are the meter, gram, and liter. The meter is a unit of length equal to 3.28 feet; the gram is a unit of mass equal to approximately 0.0022 pounds (about the mass of a paper clip); and the liter is a unit of volume equal to 1.05 quarts.\nWhat are the 3 formulas for converting temperature units?\nCelsius, Kelvin, and Fahrenheit Temperature Conversions\n|Celsius to Fahrenheit||° F = 9/5 ( ° C) + 32|\n|Fahrenheit to Celsius||° C = 5/9 (° F – 32)|\n|Celsius to Kelvin||K = ° C + 273|\n|Kelvin to Celsius||° C = K – 273|\n|Fahrenheit to Kelvin||K = 5/9 (° F – 32) + 273|\nHow do you convert units within the metric system?\nTo convert among units in the metric system, identify the unit that you have, the unit that you want to convert to, and then count the number of units between them. If you are going from a larger unit to a smaller unit, you multiply by 10 successively.\nWhat are the rules for converting measurements?\nand write it as a fraction with the given units in the opposite position from the original measurement.\nHow do you convert Mt to lbs?\nMETRIC TON TO POUND (mt TO lb) FORMULA. To convert between Metric Ton and Pound you have to do the following: First divide 1000 / 0.45359237 = 2204.62262185 Then multiply the amount of Metric Ton you want to convert to Pound, use the chart below to guide you.\nWhat metric units do you use to measure distance?\nHere’s a list giving you the basics: Units of distance: The basic metric unit of distance is the meter (m). Units of fluid volume: The basic metric unit of fluid volume (also called capacity) is the liter (L). Units of mass: Technically speaking, the metric system measures not weight but mass. Units of time: As in the English system, the basic metric unit of time is a second (s).", "label": "Yes"} {"text": "So it seems the ZL1/CTS-V LSA superchargers are the hot swap these days, they are all over eBay for as little as 500.00 and one of the primary reasons we developed our LSA Supercharger Accessory Drive kit. It's like the 60's again when we had all the 6-71 and 8-71 blowers laying around for your hot rods. Note: GM called their Diesel 2 cycle supercharger for the numbers of cylinders and the cubic inch of each, hence 6-71 and so on. Now we have the ZL1/CTS-V LSA superchargers just begging to be on your LS swap in your muscle car.\nI see lots of people talking about ZL1/CTS-V LSA superchargers on the forums, but I see a lot of people are still mystified by how they work. Many think they can put it on their big inch LS build and it will make 9lbs of boost. I will try to let a little bit of the magic out of the bag today, calculating boost from a constant displacement supercharger like the LSA Supercharger on a constant displacement engine.\nOne of the first things you need to realize is that the LSA supercharger and engine are both constant displacement pumps designed to work together and produce 9lbs of boost, so as you change one constant value greater the other is affected proportionately lower.\nZL1/CTS-V LSA superchargers - Boost Math:\nThe ZL1/CTS-V LSA superchargers installed on a factory 376 cubic inch LS is rated at 9lbs of boost. The 9lbs of boost is achieved using a 7.8\" crank pulley and a 2.95\" blower pulley. That gives the LSA Supercharged Engine a 2.6 pulley ratio on the supercharger. In other words the top pulley goes 2.6 revolutions for every revolution on the bottom.\nPulley Ratio Math:\nTherefore: 7.8 / 2.95 = 2.644\n(crank pulley OD / blower pulley OD = pulley ratio)\nNow for this example we are going to calculate how much boost we make if we put this ZL1/CTS-V LSA superchargers on a 427 cubic inch LS engine. It's a 2 step process. The first thing we need to do is figure out how much bigger the 427 cubic inch LS engine is in comparison to the stock 376 cubic inch engine. The second calculation is to adjust the boost down proportionally.\nRemember, we have the same amount of air on top but a bigger hole to fill on the bottom lowering the pressure.\n427/376=1.135638 Lets round it to 1.136 Save the number for the second calculation.\nFor Discussion: Percentage is like talking dollar and pennies and where we put the decimal point. 1 dollar is 100 pennies with the pennies being like percentages. Just move the decimal point 2 positions to the right for percentage.\nSo now 1 or 100%=376 is for the base engine and .136 or13.6%=51.136 for the increase size. So the 427 is 13.56% bigger than the stock 376 cubic inch ZL1.\nBoost Ratio Math:\nSimply divide the original boost by the overall increase in engine size.\nTherefore: 9/1.136 = 7.92 boost.\nSo, our 427 will make 7.92lbs of boost with the stock pulleys.\nTo Increasing Boost :\nSo how do we make more boost? Easy, change the pulley sizes and spin the LSA Supercharger faster. To do this we need to calculate a new pulley ratio with some know pulley sizes. The engine is 13.56% larger therefore a 10% larger crank pulley would get back most of the boost. For example, theATI 10% Overdrive pulley (for the stock ZL1) is 8.58 inches. That should get us back closer to the original 9lbs of boost.\nPulley Ratio Math:\n8.58 / 2.95 = 2.908 (crank pulley dia. / blower pulley dia. = pulley ratio)\nNow we can calculate boost with the new pulley ratio\nTherefore: 7.92/2.6 x 2.908 = 8.85lbs boost\n(current boost/current pulley ratio x new pulley ratio = new boost value)", "label": "Yes"} {"text": "vb learning can converge to bad local minima. better initialization or better learning algorithm may help. for instance, deterministic annealing. also, sometimes changing the model might help. for instance, if one factors q(mu)q(Lambda), then re-formulating so that one gets q(mu,Lambda) might improve the posterior accuracy and the learning\naha, then I will change it to something like \"implementing a student t distribution would require extra complexity which is out of the scope of this example\"\ndoesn't the mixture node needs a class as a parameter not a network?\nfor the case of the constructing the t for the mixture\nnot sure what you mean, but the mixture in a mixture model is a different mixture than in student t construction. student t construction is based on an infinite mixture. it's basically just a particular gaussian-gamma joint distribution with the gamma distribution marginalized. but in vb approach, one doesn't marginalize the gamma analytically in order to keep the equations in\nthe exponential family form\ni should write an example\nwhat I thought was using two nodes to represent the t, but that won't do as an input to the mixture node... I just glanced at the links and the topic, it is new to me :)\nI'm in a hurry for the release, so i'll postpone it\nan example would be great :)\nthanks a lot, Jaakko!\nHi @jluttine !I want to know is this result can only be shown by graph?Can we show probability density just like a format or some text?Thanks a lot!\nHello, I'm trying to learn a Gaussian mixture from Mnist but I get \"ValueError: Must pass 2-d input\", can't I use higher dimensional data?", "label": "Yes"} {"text": "This worksheet is designed for students to practice division by creating equal groups. The worksheet provides rows of various shapes, and students must divide these shapes into groups of a specified size. Each question directs the student to make groups of a different quantity, such as 3, 6, 4, 5, and 2, and then write the corresponding division sentence that represents the division of shapes into these groups. The worksheet visually represents the division problems, allowing students to count and divide the shapes accordingly.\nThe objective of this worksheet is to teach students the concept of division as the process of making equal groups from a larger set. It helps students understand that division is not only about numerical calculations but also about equal distribution. The worksheet encourages students to count and group objects, reinforcing the idea of division as a form of repeated subtraction. This hands-on approach to division is intended to build foundational skills that students will need for more complex mathematical operations involving division.", "label": "Yes"} {"text": "is called the weighted least-squares estimate of [beta].\nDelete one observation and compute the least-squares estimate of [beta] from the remaining (n - 1) observations.\nBy minimizing the trace of E'E, Theil shows that the orthogonal least-squares estimate\nof the price index is the eigenvector corresponding to [lambda], the largest eigenvalue of CC'.\nis either a least-squares estimate\nof [beta] or an initial guess for the parameter values.\nHere we use the incidence data starting on April 18 and continuing past April 30 to obtain a least-squares estimate\nof the minimum point [t.\nThe best least-squares estimate\nfor the parameter Y of the nonexistent laboratory-effects model (1) is the weighted mean [x.\n1] = the least-squares estimate\nof the population regression coefficient for X\nBut its least-squares estimate\nwould almost certainly be biased or inconsistent, even if the form of the equation were correct, becasue the bond rate is almost certainly not exogenous and hence not independent of the equation's disturbances.\nRestricted least-squares estimates\nof age composition from length composition.\nWeighted least-squares estimates\nare not possible if P [is less than or equal to] 0 or P [is greater than or equal to] 1.\nIn particular, if the individual-specific error component is correlated with X, then least-squares estimates\nof [Beta] from cross-sectional data will be inconsistent.\nrt] are contaminated by outliers, these least-squares estimates\nare unduly susceptible to sampling variation and may be quite unstable.", "label": "Yes"} {"text": "A 2014-T6 aluminum alloy compression member with an effective length of 1.25 m has the T cross section shown in Fig. P9-72.\na. Determine the maximum axial compressive load P permitted by Code 2.\nb. Use the allowable stress method to determine the maximum bending moment M in the yz-plane that can be applied as shown when the column is supporting a 175-kN axial load.\n2014- T6 aluminum alloy – T section\nEffective length of the column,\nArea of cross section,\nRadius of gyration along x axis,\nRadius of gyration along y axis,", "label": "Yes"} {"text": "Today I read a paper titled “An analysis of a random algorithm for estimating all the matchings”\nThe abstract is:\nCounting the number of all the matchings on a bipartite graph has been transformed into calculating the permanent of a matrix obtained from the extended bipartite graph by Yan Huo, and Rasmussen presents a simple approach (RM) to approximate the permanent, which just yields a critical ratio O($n\\omega(n)$) for almost all the 0-1 matrices, provided it’s a simple promising practical way to compute this #P-complete problem.\nIn this paper, the performance of this method will be shown when it’s applied to compute all the matchings based on that transformation.\nThe critical ratio will be proved to be very large with a certain probability, owning an increasing factor larger than any polynomial of $n$ even in the sense for almost all the 0-1 matrices.\nHence, RM fails to work well when counting all the matchings via computing the permanent of the matrix.\nIn other words, we must carefully utilize the known methods of estimating the permanent to count all the matchings through that transformation.", "label": "Yes"} {"text": "Lecturer: Professor James A. Sellers, Ph.D.\nMultiplying and dividing large numbers. Simplifying fractions and converting percentages. Handling square roots and exponents. These and other skills are the veritable foundation on which all of mathematics rests. To master them is to unlock the door to more advanced areas of study—such as algebra, geometry, and calculus—and to discover new levels of confidence in dealing with the math of everyday life.\nincrease your chances of success in high-school and college math classes;\nprepare you for a career in a field that requires a strong foundation in math, such as economics, engineering, medicine, and the building trades;\nstrengthen your everyday critical thinking skills; and\nhelp you handle with confidence everyday tasks such as shopping and planning a personal budget.\nYet despite how basic this kind of math may seem, the mechanics of mathematics remains a mystery to many of us because we’ve been taught to focus solely on our answers. But in the opinion of award-winning Professor James A. Sellers of The Pennsylvania State University, a true understanding of basic math involves more than just arriving at the right solution. It involves\nproperly understanding the nature of numbers and mathematical concepts,\npaying close attention to the step-by-step processes behind different calculations, and\nthinking about what you’re solving for—and why you’re solving for it in a specific way.\nThis more well-rounded approach to the basics of mathematics is a surefire way to strengthen your current knowledge or to gain new skills for more deftly and confidently approaching and dealing with math. And it’s all available to you in Professor Sellers’ engaging course, Mastering the Fundamentals of Mathematics. Using the same inspirational teaching skill and experience he’s brought to his other popular Great Courses in math, Professor Sellers reveals the secrets behind all the key math topics you need to know. In 24 lectures packed with helpful examples, practice problems, and guided walkthroughs, you’ll finally grasp the all-important fundamentals of math in a way that truly sticks.\nExplore All the Essential Areas of Basic Math\nDesigned for lifelong learners of all ages, Mastering the Fundamentals of Mathematics zeroes in on topics that everyone needs to know:\nAdding, subtracting, multiplying, and dividing whole numbers, fractions, negative numbers, and decimals\nConverting between fractions, decimals, and percentages\nSolving real-world problems involving ratios and proportions\nWorking with whole-number exponents and square roots\nWith each topic, Professor Sellers shows you how to approach, understand, and solve problems of varying complexity. And, later in the course, he offers brief introductions to more advanced areas of math and prealgebra, including\nelementary number theory, and\nbasic probability and statistics.\nAnd whether he’s discussing the order of operations or introducing you to methods for plotting points on a coordinate plane, Professor Sellers shows that the key to facing down more intimidating math problems is by tapping into basic concepts and calculations you’ve already mastered. Like an inspirational instructor who only has your success in mind, he reveals how basic math comes together—and even works together—to help you solve problems such as finding the area of a circle or breaking down a complex word problem involving statistics.Learn Tricks and Shortcuts for Solving Problems\nTo help you solve problems with greater ease, Mastering the Fundamentals of Mathematics is packed with tips, tricks, techniques, and shortcuts. Here’s just a small sampling of what you’ll find in this course.\nReducing fractions to their lowest terms: When dealing with fractions in math, you’ll often be required to express your answers in the lowest terms to make the fractions easier to understand. So how can you tell when a fraction has been reduced to its lowest term? You’ll know because the only divisor or factor that the numerator (top number) and denominator (bottom number) share is 1. For example, the fraction 4/8 is not in its lowest term because both numbers share a factor of 2.\nAdding numbers with different signs: What’s a less complicated way to solve an addition problem such as 7 + (- 3) without using a number line? First, figure out which number has the larger absolute value (7). Then, subtract the other absolute value from this one (7 – 3 = 4) and attach the sign of the number that had the larger absolute value (4). That’s it!\nLining up decimal points: Sometimes, performing calculations with large decimals (such as 153.46 + 5343.3) can be tricky, but the important point is knowing when to align your decimal points. In addition and subtraction problems, it’s essential to line up corresponding digits in a right-justified way to get the correct answer; with multiplication and division, however, this alignment is unnecessary.\nCalculating tips in your head: Do you always find yourself unsure of how much of a tip to leave? Knowing how to work with percentages and decimals makes it easy. To calculate a 15% tip, take 10% of the bill just by moving the decimal point one place to the left (example: $12.00 would be $1.20). Then, add half of that number ($0.60) to that amount and you’ve got the answer ($1.80). If you want to leave a 20% tip, take 10% of the bill ($1.20) and just double it ($2.40).\nAn Interactive, Engaging Way to Learn Math\nAn added feature of Mastering the Fundamentals of Mathematics is its interactive nature. At specific points in a given lecture, Professor Sellers gives you a problem and invites you to pause the course, try your best to solve the problem, and then continue the course to check youranswer alongside his and chart your personal progress. Oftentimes, Professor Sellers roots his practice problems in everyday scenarios in which you’re likely to find yourself, such as paying for groceries and tipping at restaurants.\nPlus, he’s crafted a free, comprehensive workbook with a complete answer key to go along with his course—one that comes filled with additional practice problems on each topic he covers in the course.\nYet even with its wealth of practice problems and exercises, what makes this course so rewarding is ultimately Professor Sellers himself. As Director of Undergraduate Mathematics at The Pennsylvania State University, he’s in the unique position of knowing the specific areas math students have trouble with—and the specific ways to help them over these common hurdles. Calm and clear, this winner of the Teresa Cohen Mathematics Service Award is a constantly encouraging presence who refuses to let you give up and helps you prove to yourself that you can be successful in math.\nSo whether you’re just setting out on your mathematical journey or whether you simply want to rediscover what you’ve forgotten, you’ll find Mastering the Fundamentals of Mathematics to be an invaluable guide to an invaluable subject.", "label": "Yes"} {"text": "the bike costs $277.5 I hope this helped\nto solve you would find the cost of the bike then multiply by the percentage $350*0.35=$122.50 that is how much you get off then you subtract that from the total cost of the bike $350-$122.50=$227.50\nSo the answer is the bike would cost $227.50 on sale\n0.0076, if you meant 4.125 divided by 0.03125 it would be 132\nfirst you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125\nthen you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.\nnow you divide like you would normally would and get 0.0076", "label": "Yes"} {"text": "Help your students reason with shapes and their attributes using double bubble maps. This download includes graphic organizers for comparing two 2-D shapes, two 3-D shapes, 2-d to 3-D shapes, and a blank template for students to choose their own shapes.\nMeets the following Common Core Standards:\nK.G.B.4 Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/“corners”) and other attributes (e.g., having sides of equal length).\n1.G.A.1 Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes.", "label": "Yes"} {"text": "Start a 10-Day Free Trial to Unlock the Full Review\nWhy Lesson Planet?\nFind quality lesson planning resources, fast!\nShare & remix collections to collaborate.\nOrganize your curriculum with collections. Easy!\nHave time to be more creative & energetic with your students!\nIn this number 4 worksheet, students count and color 4 eggs. Students practice writing the number 4 and the word four. Students trace and then try on their own.\n3 Views 0 Downloads\nWhat Members Say\n- Kristina C., Special Education Teacher\n- Covina, CA", "label": "Yes"} {"text": "A vertical pole AB measuring 5 meters snaps at point C. The pole remains in contact at C and the top of the pole touches the ground at point T, a distance of 3 meters from A.\nFind the length AC, in meters, the point where the pole snapped.\nThe broken pole forms a RIGHT triangle with the ground\nthe slanted portion we will cal 'h' (as in 'hypotenuse' )\nthe vertical portion is 5 - h\nand the other leg of the triangle (the ground ) = 3\n(5-h)^2 + 3^2 = h^2\nh^2 -10h+25+9 = h^2\n-10h = -34\nh = 3.4 the pole broke 3.4 meters from the top .... AC is thus: 5-3.4 = 1.6 meters", "label": "Yes"} {"text": "Quantities such as entropy and dimension, suggested by information theory, give only rough characterizations of cellular automaton behaviour. Computation theory suggests more complete descriptions of self-organization in cellular automata (and other systems). Sets of cellular automaton configurations may be viewed as formal languages, consisting of sequences of symbols (site values) forming words according to definite grammatical rules.\nThe set of all possible initial configurations corresponds to a trivial formal language. The set of configurations obtained after any finite number of time steps are found to form a regular language. The words in a regular language correspond to the possible paths through a finite graph representing a finite state machine. It can be shown that a unique smallest finite graph reproduces any given regular language (see ref. ). Examples of such graphs are shown in Fig. 8. These graphs give complete specifications for sets of cellular automaton configurations (ignoring probabilities). The number of nodes in the smallest graph corresponding to a particular set of configurations may be defined as the `regular language complexity' of the set. It specifies the size of the minimal description of the set in terms of regular languages. Larger correspond to more complicated sets. (Note that the topological entropy of a set is given by the logarithm of the algebraic integer obtained as the largest root of the characteristic polynomial for the incidence matrix of the corresponding graph. The characteristic polynomials for the graphs in Fig. 7 are , and\nThe regular language complexity for sets generated by cellular automaton evolution almost always seems to be nondecreasing with time. Increasing signals increasing self-organization. may thus represent a fundamental property of self-organizing systems, complementary to entropy. It may, in principle, be extracted from experimental data.\nCellular automata that exhibit only class 1 and 2 behaviour always appear to yields sets that correspond to regular languages in the large time limit. Class 3 and 4 behaviour typically gives rise, however, to a rapid increase of with time, presumably leading to limiting sets not described by regular languages.\nFormal languages are recognized or generated by idealized computers with a `central processing unit' containing a fixed finite number of internal states, together with a `memory'. Four types of formal languages are conventionally identified, corresponding to four types of computer:\nExamples are known of cellular automata whose limiting sets correspond to all four types of language (L. Hurd, in preparation). Arguments can be given that the limit sets for class 3 cellular automata typically form context-sensitive languages, while those for class 4 cellular automata correspond to unrestricted languages. (Note that while a minimal specification for any regular language may always be found, there is no finite procedure to obtain a minimal form for more complicated formal languages; no generalization of the regular language complexity may thus be given.)", "label": "Yes"} {"text": "By this time I’m sure everyone whose curiousity was piqued by the statement of the Grothendieck-Riemann-Roch theorem has read it themselves. Nevertheless, in case you haven’t, I will proceed to outline the steps of the surprisingly “easy” proof. It is “easy” in the sense that the most is made of a relatively simple computation on projecive space. Last time we saw that it is enough to prove the formula separately for an injection and a projection. We’ll see here how to carry these two steps through and how the first may be reduced to the inclusion of a divisor. Though last time I said that I wanted to go into each step in more detail, I realized that 1) probably very few people are (still?) following along, 2) for those who are, they will get more by seeing an outline and reading the paper or looking at Fulton’s Intersection Theory themselves, and 3) this way we can illustrate the power of the theorem with some applications.\nStep 1: Projective Space.\nLet be n-dimensional projective space and let be a coherent sheaf on . The first step will be to show that the so-called Hirzebruch-Riemann-Roch formula is valid: . As discussed previously in the series, this is the GRR formula in the special case of a map from projective space to a point.\nTo verify this formula, let be a hyperplane and let be its class. The Chern polynomial of is and so .\nThe sheaf corresponds to a graded module over . By Hilbert’s syzygy theorem, admits a finte length resolution by free graded modules. This implies that in , the sheaf is equal to a linear combination of sheaves of the form and by linearity, it suffices to show the theorem holds for . We know everything we could hope to about this sheaf, in particular, and . We are reduced to verifying the formula\nand this may be rewritten in terms of residues as\nWe’ll leave this statement as an exercise with the hint that the change of variables will be quite helpful.\nStep 2: A projection\nLet be n-dimensional projective space and consider the projection map . We have the following fact, which is not too difficult to prove:\nThe natural map is surjective.\nWe won’t prove this fact, but will only say that the proof procedes by induction on n, and uses a homotopy property of the K-groups that is similar to the corresponding property in the Chow ring (the corresponding properties for divisors are proved in Hartshorne’s Algebraic Geometry, II.6.5 and II.6.6).\nThe fact that GRR is true for the map now follows from Step 1 and from the last Lemma stated in the previous post.\nStep 3: A closed immersion of a divisor\nSuppose that is the inclusion of a smooth subvariety. We will denote by the normal bundle of and the sheaf of ideals. We have the exact sequence\nand the identity .\nThe GRR formula for this case then reads for . Indeed, this follows by the projection formula and the identity .\nWe now will prove this formula when is a divisor in and for .\nThe left hand side of the equation becomes . Here denotes the line bundle associated to the divisor (note: restricting to gives the normal bundle ). The first equality is an application of the projection formula. The second equality follows from the exact sequence above. Because is a ring homomorphism, this then reads .\nWe now analyze the right hand side of the equation. This reads . Here the second equality is another application of the projection formula and the formula finally follows because .\nCorollary 1 GRR is true for the injection for the map for a fixed point .\nBy the Lemma from last time, the proof of this corollary reduces to the case when is a point. Then the statement follow from the previous argument when and in general by induction. (Warning – that barely constitutes a proof sketch).\nCorollary 2 If the statement above is true when , then it is true in general.\nThis follows from the first Lemma from last time and Corollary 1 because we may compose with an injection for a sufficiently large dimensional projective space.\nStep 4: Reduction to the case of a divisor; i.e., end of proof.\nPart of the beauty of the proof of GRR is that the absolute most is made out of the computation of projective space over a point and the inclusion of a divisor. We now reduce the general case of an inclusion of a subvariety to that of a divisor using the blow-up construction.\nBy Corollary 2 above, we may assume that (the inclusion) is of codimension . Let be the blowup of X along Y. Denote by the exceptional divisor , the inclusion and the projection. Recall that if is the normal bundle of in , and is the pullback to , then constains the restriction of the line bundle associated to restricted to , which we will denote . We will set , a bundle of rank .\nWe have the following facts about the behavior under such a blowup.\nA. and so is the identity map.\nC. For we have .\nD. modulo as long as .\nRecall that of a bundle means we take the alternating sum of the wedge products of that bundle, interpreted as an element in K-theory. We have the following further\nFact E: for a bundle of rank .\nWe may now conclude the proof of GRR:\nBy the same computation as in the divisor case, we must verify formula\nBecause the codimension of is large, we may apply Fact D to know that is equivalent to zero modulo . Then this class is in the image of (exercise) and so by the previous case, we may apply GRR to this class and the map . This gives:\nWe will then verify that pushing forward this equation by gives equation (1).\nBy Fact C, we have that is equal to and then the LHS of our verification follows from Fact A.\nUsing the fact that is multiplicative and Fact E, we compute that\nSince , we get the formula\nBy Fact B then, the image of the two sides of this equation by is equal to and the RHS of the verification follows from the fact that . Whew!\nI’ll leave the Facts as exercises or inspiration to learn more about blowups. Facts A and B are pretty easy and Fact E is a straightforward compuation. Facts C and D require much more work – but at the moment I can’t see a great reason for going through their proofs. Applications to follow (more quickly than this post did I hope).", "label": "Yes"} {"text": "sorry if this is a dumb question, but I was doing some homework and I noticed that whenever I solved a planar system which had complex eigenvalues, I would always end up with complex eigenvectors. I was wondering whether I could ever somehow get a totally real-valued eigenvector from a complex eigenvalue.\nThe short answer is no. Let's suppose that $A$ is a real matrix with a complex eigenvalue $\\lambda$ and an associated (nonzero) real eigenvector $v$. Then by the definition of eigenvector, $Av = \\lambda v$. So $\\lambda v$ must be complex since $v$ has real entries but $\\lambda$ is not real; on the other hand, $Av$ must be real since both $A$ and $v$ have real entries by assumption.\nThis is impossible. Now we can say that if $A$ is a real matrix with a complex eigenvalue, then any associated eigenvector cannot have only real entries.", "label": "Yes"} {"text": "This page is deficient and requires revision. Please see Talk:Integrability for further comments.\nA vaguely defined yet very popular notion which may mean one of the following:\n- For functions - existence of the integral in some sense (Riemann integrability, Lebesgue integrability, improper integrals etc.);\n- For geometric structures and partial differential equations - conditions guaranteeing existence of solutions (Frobenius integrability condition\n- For differential equations (both ordinary and partial) and dynamical systems:\n- a possibility to find solution in a given class of functions (Darbouxian integrability, Liouville integrability, integrability in quadratures etc.) or just in some closed form;\n- existence of one or more first integrals, functions which remain constant along solutions;\n- preservation of some additional structures (e.g., Hamiltonian systems are sometimes called integrable to distinguish them from dissipative systems);\n- complete integrability for Hamiltonian systems means existence of the maximal possible number of first integrals in involution.\nFollow the links for more details.\nIntegrability. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Integrability&oldid=25868", "label": "Yes"} {"text": "The NCHS report indicated that in 2002 the prevalence of cigarette smoking among American adults was 21.1%. Data on prevalent smoking in n=3,536 participants who attended the seventh examination of the Offspring in the Framingham Heart Study indicated that 482/3,536 = 13.6% of the respondents were currently smoking at the time of the exam. Suppose we want to assess whether the prevalence of smoking is lower in the Framingham Offspring sample given the focus on cardiovascular health in that community. Is there evidence of a statistically lower prevalence of smoking in the Framingham Offspring study as compared to the prevalence among all Americans?\nHere we use the proportion specified in the null hypothesis as the true proportion of successes rather than the sample proportion. If we fail to satisfy the condition, then alternative procedures, called exact methods must be used to test the hypothesis about the population proportion.\nYour lab report should probably be based around one or two central research questions (RQs). To start off with, caste a wide net and generate at least half a dozen possible RQs. You may want to write down all the variables in the study.\nIn order to test the hypotheses, we select a random sample of American males in 2006 and measure their weights. Suppose we have resources available to recruit n=100 men into our sample. We weigh each participant and compute summary statistics on the sample data. Suppose in the sample we determine the following:\nDo the sample data support the null or research hypothesis? The sample mean of 197.1 is numerically higher than 191. However, is this difference more than would be expected by chance? In hypothesis testing, we assume that the null hypothesis holds until proven otherwise. We therefore need to determine the likelihood of observing a sample mean of 197.1 or higher when the true population mean is 191 (i.e., if the null hypothesis is true or under the null hypothesis). We can compute this probability using the Central Limit Theorem. Specifically,\nAlso try to develop some possible hypotheses for each of your RQs - this could be revealing - you might find that its difficult to establish hypotheses for some of your RQs.\nThe decision rule is a statement that tells under what circumstances to reject the null hypothesis. The decision rule is based on specific values of the test statistic (e.g., reject H0 if Z > 1.645). The decision rule for a specific test depends on 3 factors: the research or alternative hypothesis, the test statistic and the level of significance. Each is discussed below.\n(Notice that we use the sample standard deviation in computing the Z score. This is generally an appropriate substitution as long as the sample size is large, n > 30. Thus, there is less than a 1% probability of observing a sample mean as large as 197.1 when the true population mean is 191. Do you think that the null hypothesis is likely true? Based on how unlikely it is to observe a sample mean of 197.1 under the null hypothesis (i.e.,\nHow likely it is to observe a sample mean of 192.1 or higher when the true population mean is 191 (i.e., if the null hypothesis is true)? We can again compute this probability using the Central Limit Theorem. Specifically,\nThere is a 33.4% probability of observing a sample mean as large as 192.1 when the true population mean is 191. Do you think that the null hypothesis is likely true?\nNeither of the sample means that we obtained allows us to know with certainty whether the null hypothesis is true or not. However, our computations suggest that, if the null hypothesis were true, the probability of observing a sample mean >197.1 is less than 1%. In contrast, if the null hypothesis were true, the probability of observing a sample mean >192.1 is about 33%. We can't know whether the null hypothesis is true, but the sample that provided a mean value of 197.1 provides much stronger evidence in favor of rejecting the null hypothesis, than the sample that provided a mean value of 192.1. Note that this does not mean that a sample mean of 192.1 indicates that the null hypothesis is true; it just doesn't provide compelling evidence to reject it.\nIn hypothesis testing, we select a critical value from the Z distribution. This is done by first determining what is called the level of significance, denoted α (\"alpha\"). What we are doing here is drawing a line at extreme values. The level of significance is the probability that we reject the null hypothesis (in favor of the alternative) when it is actually true and is also called the Type I error rate.\nBecause 2.38 > 1.645, we reject the null hypothesis. (The same conclusion can be drawn by comparing the 0.0087 probability of observing a sample mean as extreme as 197.1 to the level of significance of 0.05. If the observed probability is smaller than the level of significance we reject H0). Because the Z score exceeds the critical value, we conclude that the mean weight for men in 2006 is more than 191 pounds, the value reported in 2002. If we observed the second sample (i.e., sample mean =192.1), we would not be able to reject the null hypothesis because the Z score is 0.43 which is not in the rejection region (i.e., the region in the tail end of the curve above 1.645). With the second sample we do not have sufficient evidence (because we set our level of significance at 5%) to conclude that weights have increased. Again, the same conclusion can be reached by comparing probabilities. The probability of observing a sample mean as extreme as 192.1 is 33.4% which is not below our 5% level of significance.", "label": "Yes"} {"text": "Makers of Mathematics S. Hollingdale (Penguin, 1989)\nThere are not many books on the history of mathematics which are pitched at a suitable level. Hollingdale gives a biographical approach which is both readable and mathematical. You might also try E.T. Bell Men of Mathematics (Touchstone Books, Simon and Schuster, 1986). Historians of mathematics have a lot to say about this (very little of it complimentary) but it is full of good stories which have inspired generations of mathematicians.\nAlan Turing, the Enigma A. Hodges (Vintage, 1992)\nA great biography of Alan Turing, a pioneer of modern computing. The title has a double meaning: the man was an enigma, committing suicide in 1954 by eating a poisoned apple, and the German code that he was instrumental in cracking was generated by the Enigma machine. The book is largely nonmathematical, but there are no holds barred when it comes to describing his major achievement, now called a Turing machine, with which he demonstrated that a famous conjecture by Hilbert is false.\nThe Man Who Knew Infinity R. Kanigel (Abacus, 1992)\nThe life of Ramanujan, the self-taught mathematical prodigy from a village near Madras. He sent Hardy samples of his work from India, which included rediscoveries of theorems already well known in the West and other results which completely baffled Hardy. Some of his estimates for the number of ways a large integer can be expressed as the sum of integers are extraordinarily accurate, but seem to have been plucked out of thin air.\nFermat’s Last Theorem Simon Singh\nYou must read this story of Andrew Wiles’s proof of Fermat’s Last Theorem, including all sorts of mathematical ideas and anecdotes; there is no better introduction to the world of research mathematics. You must also see the associated BBC Horizon documentary if you get the chance. Singh’s later The Code Book (Fourth Estate) is not so interesting mathematically, but is still a very good read.\nThe Colossal Book of Mathematics M. Gardner (Norton 2004)\nOver 700 pages of Gardner for under 20 pounds is an astonishing bargain. You will be hooked by the very first topic in the book if you haven’t seen it before (and probably even if you have): a diophantine problem involving a monkey and some coconuts — can’t say more without writing a spoiler. At the beginning, about 60 other books by Martin Gardner are listed, none of which will disappoint.\nTo Infinity and Beyond Eli Maor (Princeton, 1991)\nNot much hard mathematics here, but lots of interesting mathematical ideas (prime numbers, irrationals, the continuum hypothesis, Olber’s paradox (why is the sky dark at night?) and the expanding universe to name but a few), fascinating history and lavish illustrations. The same author has also written a whole book about one number (e The Story of a Number), also published by Princeton (1994), but not yet out in paperback.\nHow to Think like a Mathematician Kevin Houston (CUP, 2009)\nThis sounds like the sort of book that elderly people think that young people should read. However, there is lots of good mathematics in it (including many interesting exercises) as well as lots of good advice. How can you resist a book the first words of which (relating to the need for accurate expression) are: Question: How many months have 28 days? Mathematician’s answer: All of them.\nMathematics: a very short introduction Timothy Gowers (CUP, 2002)\nGowers is a Fields Medalist (the Fields medal is the mathematical equivalent of the Nobel prize), so it is not at all surprising that what he writes is worth reading. What is surprising is the ease and charm of his writing. He touches lightly many areas of mathematics, some that will be familiar (Pythagoras) and some that may not be (manifolds) and has something illuminating to say about all of them. The book is small and thin: it will fit in your pocket. You should get it.\nThe Pleasures of Counting T.W. K¨orner (CUP, 1996)\nA brilliant book. There is something here for anyone interested in mathematics and even the most erudite professional mathematicians will learn something new. Some of the chapters involve very little technical mathematics (the discussion of cholera outbreaks which begins the book, for example) while others require the techniques of a first or second year undergraduate course. However, you can skip through the technical bits and still have an idea what is going on. You will enjoy the account of Braess’s paradox (a mathematical demonstration of the result, which we all know to be correct, that building more roads can increase journey times), the explanation of why we should all be called Smith, and the account of the Enigma code–breaking. These are just a few of the topics K¨orner explains with enviable clarity and humour.\nBeyond Numeracy J. A. Paulos (Penguin, 1991)\nBite-sized essays on fractals, game-theory, countability, convergence and much more. It is a sequel to his equally entertaining, but less technical, Numeracy.\nThe New Quantum Universe T. Hey & P. Walters (CUP, 2003)\nAll you ever wanted to know about quantum mechanics, from fusion to fission, from Feynman diagrams to super-fluids, and from Higgs particles to Hawking radiation. With potted biographies, historical background, and packed with wonderful illustrations and photographs (including an electron microscope image of a midge). This is an excellent and unusual introduction to the subject. The same authors also wrote a splendid book on relativity (Einstein’s Mirror).\nWas Einstein Right? C.M. Will (Basic Books, 1988)\nEinstein’s theory of General Relativity is a theory of gravitation which supersedes Newton’s theory and is consistent with Special Relativity. The basic idea is that space-time is curved and you feel gravitational forces when you go round a curve in space, in the same way as you feel centrifugal force when your car goes round a bend. This book is about observational tests of the theory, all of which have been passed with flying colours. In particular, there is a binary pulsar which loses mass by gravitational radiation and, as a result, its period of rotation increases by 76 ± 2 millionths of a second per year; General Relativity predicts 75. There is much to be learnt here about physics, cosmology and astronomy as well as about Einstein and his theory.\nThe Accidental Universe P.C.W. Davies (CUP, 1982)\nAll the buzz-words are here: cosmic dynamics; galactic structure; entropy of the Universe; black holes; many worlds interpretation of quantum mechanics, but this is not another journalistic pot-boiler. It is a careful and accurate account by one of the best writers of popular science.\nAdvanced Problems in Mathematics S.T.C. Siklos (1996 and 2003)\nThese are selections of STEP–like problems complete with discussion and full solutions. (STEP is the examination normally used as a basis for conditional offers to Cambridge.) The problems are different from most A-level questions, being much longer (‘multi-step’ is the current terminology) and sometimes covering material from apparently unconnected areas of mathematics. They are more like the sort of problems that you encounter in a university mathematics course, although they are based on the syllabuses of school mathematics. Working through one or both of these booklets would be an excellent way of getting your mathematics up to speed again after the summer break. The 2003 booklet (Advanced Problems in Core Mathematics) is in a sense a prequel, since it is based on a less advanced syllabus (basically the A-level core plus some mechanics and probability).\nMathematical Methods for Physics and Engineering K F Riley, M P Hobson & S J Bence (Cambridge University Press 1998)\nMost of A-level pure mathematics consists of what could be called ‘mathematical methods’ — i.e. techniques you can use in other areas (such as mechanics and statistics). The continuation of this material forms a basic part of every university course (and would count as applied mathematics!).\nWe are currently developing our very own Maths Library in the department to give our pupils more access to the titles on our reading list.\nCheck back soon for more information!", "label": "Yes"} {"text": "The Get Real Math videos showcase over 80 common core skills used in the real world. The videos, produced at manufacturing companies, serve as a capstone after a skill is learned in school. Math skills featured are 3rd grade through high school. The lesson plans are created by math teachers.\nWhat does toilet paper have to do with math?In this video, you will calculate the area of a parent roll of tissue and the area of a roll of toilet paper. Using that information, you can calculate how many rolls of toilet paper can be made each day.\nWhat do robots have to do with math? (Georgia-Pacific)In this video, you will learn about laser guided vehicles and how to program them to work in your company. You will need to calculate distances and angles.\nWhat does a tank reducer have to do with math?In this video, a part needs to be welded onto an exterior part of a tank reducer. Exactly where the part is to be attached needs to be determined first, based on a blueprint. In this activity, students need to determine the correct length from the top of the tank to place the object.\nWhat does rigging have to do with math?Understanding the weight of different things is very important for many reasons - safety being one of the main reasons. In this video, students learn how to calculate the weight of a table to determine the appropriate straps to use for rigging the table to move it properly and safely.\nWhat does steel rectangular tubing have to do with math?In this video, you will need to determine the total amount of tubing (assume the top of the riser will be added later) needed to produce a riser that will be used in a robotic welding enclosure at KI in Green Bay. You will be challenged to understand a two-dimensional figure (blueprint) that represents a three-dimensional object. You will also look at the loss of material from cutting.\n©2020 NEW Manufacturing Alliance", "label": "Yes"} {"text": "STEM subjects are dynamic and ever changing with constant new discoveries, inventions and theories – and it’s exciting to see this dynamism reflected in how we teach STEM subjects!\nMassachusetts Institute of Technology in 2012, which sees young girls being tutored in mathematics – through ballet! The Shine for Girls is an after-school club, which uses dance and movement to help students understand quadratic equations, fractions, statistics, problem-solving and probability.\nResearchers found that combining intellectual and physical activities helped students “more effectively understand and retain material”. By learning through dance, pupils become ‘active learners’ rather than passively absorbing information as they would in the traditional education settings.\nMany of the girls who participated were struggling with the subject prior to starting the lessons, but after a 10 week course the programme leaders found that the pupils involved had an average improvement in maths scores of 184 per cent and an average increase in confidence of 148 per cent. Some girls’ academic performance increased by 600 per cent.\nWhile using dance to teach maths isn’t a reality in most classrooms – we might have to stick to puzzles and games to encourage ‘active learning’ – the success of the Shine for Girls programme clearly shows the power of taking a different approach and using creativity in the classroom.", "label": "Yes"} {"text": "The Journal of Graph Algorithms and Applications found at this Web site is the electronic version of the scientific journal with the same name. It is a collection of research papers dealing with the \"analysis, design, implementation, and applications of graph algorithms.\" The current volume consists of select papers presented at the 1999 Symposium on Graph Drawing, which have since been revised. Previous volumes are archived on this site as well, and they can be freely accessed. Almost any discipline requires some sort of graphical representation, and specific uses of graph algorithms in various fields are addressed in this journal.", "label": "Yes"} {"text": ".5 Middle School Math Coach\nOak Grove School\nThis is a new teaching position to assist 6th, 7th and 8th grade Math teachers with instructional strategies, use of new interactive white boards and common core standards. The position is part-time and days could be flexible.\nContact Principal Dave Karolewicz karolewicz2ogschool.org or Mark Clement, Curriculum And Learning email@example.com", "label": "Yes"} {"text": "TREND Numbers 0-10 Match Me Puzzle Game, Ages 3 - 6 Item # 923724\nThank you, you will now be redirected to comparisons.\nJust a moment while we prepare the page\nCheck In-Store Availability\nLearning numbers can be fun\n- Interactive learning game that teaches numbers 0-10. Helps children develop matching, memory and word/picture recognition skills.\n- Easy-to-follow format provides 3 fun ways to play the game.\n- Double-sided game boards allow children of multiple skill levels to play.\n- For 1-8 players.\n- Game includes eight two-sided game boards and 48 cards.\n|age recommendation||3 - 6 years|\n|Maximum Number of Players||8|\n|Minimum Number of Players||1|\n|Recommended Age||3-6 Year|\n|Skill Learning||Matching; Memory; Number|\n|What's Included||Two-Sided Game Boards; 48 x Game Pieces; Sturdy Storage Box|", "label": "Yes"} {"text": "Priced at around $1 million, the open source (Linux)- based supercomputer is housed at the Computational Mathematics Laboratory (CML) of TIFR, located at the Pune University campus.\nThe computer has a speed of one tera floating point operations per second (flops), equivalent to Param Padma, the fastest and most powerful in the Param series of supercomputers developed by the Centre for Development of Advanced Computing (C-DAC), and allows CML to run various complex algorithms with upto one billion variables.\nThe supercomputer has been operational since last week and has a dozen scientists from various fields working on it. Already it is delivering 80 per cent of its peak performance(0.8 tera-flops) .\nTo know about this more refer to:http://timesofindia.indiatimes.com/articleshow/msid-1083936,curpg-2.cms", "label": "Yes"} {"text": "posted by Haley .\nA hypothetical planet has a radius 2.1 times that of Earth, but has the same mass. What is the acceleration due to gravity near its surface?\nWhat equation should i use?\nwell, Force is proprotional to mass, which is the same, and inversly proportional to radius squared. That means the graviational field vector (g) is 9.8/2.1^2 N/kg or as you probably know it, 9.8/2.1^2 m/s^2, the acceleration do to gravity at the surface.", "label": "Yes"} {"text": "- Entrance Exams\n- Schools / Boards\n- Talent Search Exams\nNational Council of Educational Research and Training (NCERT) Book Solutions for Class 8th\nChapter: Chapter 16 – Playing with Numbers\nClass 8th Maths Chapter 16 Playing with Numbers NCERT Solution is given below.\nTags: CBSE Class 8 Maths Solutions, CBSE Maths Solutions Class VIII, CBSE Solutions, Class 8 CBSE Maths Book Answers, Class 8 Maths Solutions, Class VIII Book Solutions, Fee NCERT Solutions, Maths NCERT Solutions Class 8, NCERT Books Solution, NCERT CBSE Solutions, NCERT Class 8 Maths Solutions, NCERT Solutions, NCERT Solutions for Class 8, NCERT Solutions for Class 8 Maths, NCERT Solutions for Class 8 Maths Chapter 16, Playing with Numbersर NCERT Solutions\nStay Updated. Get All Information in Your Inbox. Enter your e-Mail below:", "label": "Yes"} {"text": "Symmetry is everywhere, but it's often hard to notice. This lesson explores a few ways to identify it. By folding and making mirror images for different shapes, students will discover a new world of symmetrical figures.\nStudents will learn to convert metric units by applying concepts in word problems. Exercises and worksheets incorporate length (meters), and optional practice offers more instructions on mass (grams) and volume (liters).\nYour students will become junior math detectives as they hunt down the missing side of a rectangle by applying the area formula for rectangles. The only clues they have are the rectangle's area and the measure of one side.\nPlanning for a substitute teacher in the classroom has never been easier than with this week-long sub packet for fourth grade! Your substitute can supercharge learning with lessons that will educate and inspire your students!\nThe order of operations is a critical concept for fourth graders to grasp in preparation for algebra. This introductory lesson on the order of operations will teach your students about the helpful acronym PEMDAS.\nInterjections, one of the eight parts of speech, can be the most exciting. They help students interject some fun and drama into their writing and conversations. In this lesson, they'll brainstorm how to use interjections in their sentences.\nIt's not enough to just memorize the multiplication table! It helps students to know how to explain their strategy to find the product too. Teach this lesson on its own or use it as support for the lesson Slap and Roll Timed Multiplication.", "label": "Yes"} {"text": "Auto toilet paper, Grade 7 math homework\ntest, preparing for college entrance exams, checking your answers. Everyday Mathematics is divided into Units, which are divided into Lessons. Thank you for the help! Big Numbers, Estimationand Computation, unit 6, division; Map Reference Frames; Measures of Angles. I am a 5th grade math teacher at a small private school. In this case, the student is working in Unit 5, Lesson. I thought it must not work. You'll work with a tutor in our online classroom in real-time, solving your math problems step-by-step, until your homework is finished. Bryan, oh my god this is the best website. Unit 3, multiplication and Division; Number Sentences and Algebra.\nHungry caterpillar paper lanterns Grade 7 math homework\nAnd then look for the row in the table labeled\" To news homework thesis help and craft activities. Unit 12, you would select\" the other night I overheard her say. Davonte, and babies, endofYear Resources, graphics, including the bestselling lego books.\nWelcome to our GO, math!Grade 3, homework page!Use this resource if you have forgotten your.\nGrade 7 math homework, Coordinate graph paper quadrant 1\nI dont like it I love. Very helpful better than a real classroom. It has a teacher paper bags who teaches the lesson. Munich, im kind of slow, new York, and finally a short quiz. Getting help with math homework is easy with. Embodies the unique DK design approach. My daughter is going into 5th grade math and this has been wonderful summer review for her.", "label": "Yes"} {"text": "Proper orthogonal decomposition for reduced order dynamic modeling of vapor compression systems\nPublished Web Locationhttps://doi.org/10.1016/j.ijrefrig.2021.09.016\nA computationally efficient but accurate dynamic modeling approach for vapor compression systems is important for many applications. Nonlinear model order reduction techniques which generate reduced order models based on high fidelity vapor compression cycle (VCC) models are attractive for the purposes. In this paper, a number of technical challenges of applying model order reduction methods to VCCs are described and corresponding solution approaches are presented. It starts with a reformulation of a standard finite volume heat exchanger model for matching the baseline model reduction structure. Reduced order models for evaporator and condenser are constructed from numerical snapshots of the high fidelity models using Proper Orthogonal Decomposition (POD). Methodologies for system stability and numerical efficiency of POD reduced order models are described. The reduced order heat exchanger models are then coupled with quasi-static models of other components to form a reduced order cycle model. Transient simulations were conducted over a wide range of operating conditions and results were compared with the full order model as well as measurements. The validation results indicate that the reduced order model can execute much faster than a high-fidelity finite volume model with negligible prediction errors.", "label": "Yes"} {"text": "Math worksheets dynamically created math worksheets 196016. This is a comprehensive collection of free printable math worksheets for sixth grade organized by topics such as multiplication division exponents place value algebraic thinking decimals measurement units ratio percent prime factorization gcf lcm fractions integers and geometry.\n4th Grade Worksheets With Math Exercises 4th Grade Math Worksheets Grade 5 Math Worksheets Math Practice Worksheets\nYou will then have two choices.\nFree printable 6th grade math worksheets. Our printable grade 6 math worksheets delve deeper into earlier grade math topics 4 operations fractions decimals measurement geometry as well as introduce exponents proportions percents and integers. This will take you to the individual page of the worksheet. Math worksheets workbooks for sixth grade.\n6th grade math worksheets printable free with answers collection. 6th grade math worksheets. Free math worksheets for grade 6.\n6th grade math worksheets pdf printables to practice skills on math topics learnt in grade 6 these worksheets were created with teachers homeschool parents and sixth graders in mind. Sixth grade math worksheets free pdf printables with no login. Math worksheets dynamically created math worksheets 196015.", "label": "Yes"} {"text": "Course of Study\nEMIL Learning Outcomes\nContent Knowledge: EMIL professionals will know and understand deeply the mathematics of elementary school as well as how mathematics concepts and skills develop through middle school including specialized knowledge that teachers need in order to understand and support student learning of elementary mathematics as specified by the AMTE Standards for Elementary Math Specialists.\nPedagogical Knowledge for Teaching Mathematics: EMIL professionals will have a foundation in pedagogical content knowledge as specified by the NCATE/NCTM Standards for Elementary Mathematics Specialists.\nLeadership Knowledge and Skills: EMIL professionals will be prepared to take on collegial non-evaluative leadership roles within their schools and districts. They will have a broad view of many aspects and resources needed to support and facilitate effective instruction and professional growth.\n- MTH 611 Counting and Whole Number Operations: K-8 Learning and Teacher Practices (3)\n- MTH 612 Fractions and Proportions: K-8 Learning and Teacher Practices (3)\n- MTH 613 Geometry and Measurement: K-8 Learning and Teacher Practices (3)\n- MTH 614 Statistics and Probability: K-8 Learning and Teacher Practices (3)\n- ED 637 Advanced Content Pedagogy: Mathematics (3)\n- ED 673 Elementary Mathematics Leadership Practicum I (3)\n- ED 609 Elementary Mathematics Leadership Practicum II (3)\n- MTH 615 Patterns and Algebraic Thinking K-8 Learning and Teacher Practices (3)\n- MTH 616 Algebra and Functions: K-8 Learning and Teacher Practices (3)", "label": "Yes"} {"text": "A generous 12? An expansive 16?\nJoel Haddley and Stephen Worsley laugh at your meagre efforts.\nThe mathematicians of the University of Liverpool have developed a ‘new’ technique for slicing your favourite Italian dish that can produce as many as 20, 28 or even 36 slices.\nThe mathematicians set out to see if they could construct monohedral tiles with a ‘trivial intersection’, breaking the usual pattern of two flat edges and an arch. Basically, by cutting the pizza into a “wobbly star” (the technical term), you’re able to produce a variety of shapes to spread a pizza further than before.\nTo find out more about the maths that’s being employed here, you can read Haddley and Worsle’s paper here.", "label": "Yes"} {"text": "The purpose of this paper is to show that an affine model which incorporates the condition of no arbitrage enables improvements in forecasting the term structure of interest rates in Mexico. The three factors of the yield curve (level, slope and curvature) used in the model are estimated by the method of principal components. The forecasting model is specified as a linear relationship between each of the interest rates and these factors, for maturities of 1 to 60 months. Affine model predictions are compared with four benchmark models: a forward rate, an AR(1), a VAR(1), and a random walk model. The main finding is that the affine model has a performance comparable to benchmark models for horizons of 12 and 18 months, except for the random walk model. However, improving its forecasting performance for the 24-month horizon, and especially for 60-month maturities.\nAffine Model Forecasts Yield Curve Principal Components Condition of no Arbitrage", "label": "Yes"} {"text": "Pythagorean theorem essayHanan Lee 07/08/2016 10:55:29\nChapter 11 chapter 10 in digital format, and download ebook mems question papers for pythagorean theorem. Do you know about pythagorean theorem answers at our download free encyclopedia. Over 2000 years ago pdf schindlers list essay 10 book on alshela. Are reliable. 2/9 mechanics of famous essays 2007 david ignatius. Lee history of pythagorean theorem answer key pdf the converse of 124 17 ionization answers. Review 2a 2b. Essays. If you're looking for you find are reliable. Solution; the pythagorean theorem practice and editing assistance - compund measures and motion. Hamlet to: math student. Essays class observation essay and proposals in mathematics composed of famous greek mathematician pythagoras.\nInformation age. Other files available to read books for grade 4 book on wesyoakam. Discuss some. Solution manuals for finding good application essay robert dawson if you. 1 pythagorean theorem: you know who needs some. Algebra geometry textbook answer key in digital format, and download library. 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Pdf get instant access to read ebooks analytical chemistry journals. If pythagorean theorem practice answer page. 134 0. ..", "label": "Yes"} {"text": "I love hands-on activities for introducing math concepts. Spielgaben starts with hands-on activities and now has a math workbook series to add extension activities for anyone who owns the complete Spielgaben set.\nI want to show some ideas for combining the workbook series with activities using the Spielgaben materials. Today, I’m focusing on work with left and right and giving directions (including clockwise and counterclockwise).\nThis is a sponsored post written by me on behalf of Spielgaben. All opinions are honest and my own.\nComplete Spielgaben Set, Version 4\nIn case you’re not familiar with Spielgaben toys, they are exceptionally high-quality educational toys designed for ages 3-12. You can see from the photo that the cabinet is very high quality and fits in well in a room with traditional Montessori materials. I love the easily removable drawers in version 4.\nThe Spielgaben complete set comes with over 700 pages of full-color printed learning materials. These printed materials help you as a parent or teacher easily use Spielgaben toys educationally with your child and/or students.\nNote: The yarn balls in set 1 are fine for babies and toddlers. The other sets should only be used with ages 3 and older unless your toddler no longer mouths objects or you are constantly supervising your toddler during an activity using the materials.\nSpielgaben Math Workbook Series\nIf you own a complete Spielgaben Set, you can now order an optional extension resource: a set of math workbooks for Preschool/Kindergarten through Grade 6. These don’t have as many direct hands-on activities as the original printed learning materials (or digital materials if you have an earlier Spielgaben set). Some of the activities are hands-on, but this is a workbook series with mainly paper and pencil work illustrated with Spielgaben materials. Year 3 on up has answer pages in the back.\nYou can use the math workbooks in a homeschool however you prefer. You could work straight through them after using the original hands-on lessons, combine workbook activities with hands-on lessons from the original printed materials, or skip around, using the workbooks as needed to reinforce work from the hands-on materials. I like to skip around and review lessons from the original printed materials or use the hands-on materials for inspiration at the same time as I use a workbook page.\nSpielgaben Materials Used in This Post\nFor this post, I used parts from Spielgaben cabinet drawers 3-6, 7, and 10. With younger children, I like to set up a tray or basket with the parts needed for a particular activity (as a control of error). For kindergarteners on up, I just have the child bring the drawers needed for the activities to the work area.\nFor the first part of the activity, I used one of the Spielgaben Nature Cards that come with the complete set. The full-color printed materials have lots of creative, hands-on activities for learning math concepts.\nNature Card Inspiration with Spielgaben Materials\nMy just-turned-6-year-old granddaughter, Zoey, has done lots of Montessori hands-on math work along with Spielgaben hands-on math activities. I chose a couple of pages from the Spielgaben Math Workbook, Year 1. The workbook typically uses Spielgaben creations as the illustrations, so they’re fun as building inspiration. I always encourage Zoey to build one of the images with the Spielgaben materials.\nA fox built with materials from Spielgaben drawer 7 was one of the first images on the first workbook page we were doing. Because we’re on a woodland animal unit, I used the fox nature card as inspiration for Zoey.\nThe page shows a fox created with drawer 7 and a fox created with drawers 3-6 along with dots from drawer 10. Zoey had fun creating the foxes. Then she added features to the first fox, a hairbow to the first fox, and a bow tie to the second fox. After that, she created food for the foxes and had some creative dramatic play with the foxes. I love that the Spielgaben materials can be easily used for both learning activities and creative play!\nWorking with Left and Right and Giving Directions Using Spielgaben Math Book, Year 1\nWhen Zoey was finished with the dramatic play, we did Math Wookbook, Year 1, lesson 10-3 about left and right. We hadn’t focused specifically on left and right on a page, and the workbook had clear examples. First Zoey had to turn a picture of a beetle built with Spielgaben materials right and left. Then she had to identify from a row of 3 foxes built with Spielgaben materials (like the first one Zoey built) which fox was on the left and which was on the right. It was a simple page but a clear way to introduce or review left and right.\nThen we did Math Workbook, Year 1 lesson 29-3 about giving directions. Zoey had fun with this page because it was like a game. First, the page introduced clockwise and anticlockwise (which I said is a British or Australian way to say “counterclockwise”). It also showed backwards and forwards. Then Zoey had to use a map and the words to get a person from one point to another a few different times using backwards, forwards, clockwise, and counterclockwise. Zoey hadn’t focused on clockwise and counterclockwise before, and she enjoyed giving the directions.\nThen she had to move a girl forward and backward to spell words on a row of letters. I had Zoey move a Spielgaben dot to illustrate the work on this page. It was a simple page to do but reinforced an important concept.\nI like that the workbook covers a wide variety of first grade math concepts. It works well as an extension of the Spielgaben printed lessons. It’s also helpful for children who need extra work with a specific concept.\nAll My Spielgaben Posts\nMany of these include links to free printables! (Click on an image to go to the related blog post. The gallery is ordered according to publication date with my latest post at the top.)\nVersion 4 of Spielgaben Educational Toys\nI highly recommend Spielgaben as an amazing educational material for home or school. Even though the toys aren’t inexpensive, they’re definitely worth the price because of the high quality of materials and number of years your children or students can use them.\nSpecial deal for my readers!\nLearn more about my eBook Montessori at Home or School: How to. Teach Grace and Courtesy!\nIf this is your first time visiting Living Montessori Now, welcome! If you haven’t already, please join us on our Living Montessori Now Facebook page where you’ll find a Free Printable of the Day and lots of inspiration and ideas for parenting and teaching! And please follow me on Pinterest (lots of Montessori-, holiday-, and theme-related boards), Instagram, and YouTube. You can find me on bloglovin’ and Twitter, too.\nAnd don’t forget one of the best ways to follow me by signing up for my weekly newsletter. You’ll receive some awesome freebies in the process!", "label": "Yes"} {"text": "3 Unit Circle Trigonometry\nIn This Chapter\nThe shape of a plucked guitar string, fixed at both ends, can be described by trigonometric functions of a real variable.\nA Bit of History The discussion in Section 2.4 leads directly to a more analytical approach to trigonometry where the cosine and sine are defined as the x-and y-coordinates, respectively, of a point (x, y) on a unit circle. It is this interpretation of ...", "label": "Yes"} {"text": "Your maths and English GCSE qualifications are your passport to a brighter future. You could have every qualification and skill under the sun, but without maths and English you may not be able to reach your destination.\nTo study at HRC it's necessary for you to have at least a Grade C/Level 4 in GCSE maths and English. However, if you don't have these when you arrive at college we will support you throughout your journey to gain them.\nWe do this by embedding maths and English both within your course timetable and within your study programme. So not only are you attending dedicated classes, you are also learning about how maths and English is relevant to your industry.\nEvery bricklayer needs to know how many bricks to order, every musician needs to know how much to charge for gig tickets and every business executive needs to know how to write a professional report. These are just small examples as to how important maths and English are to helping you achieve your career dreams.\nAt HRC we offer three levels of maths and English study that are matched to your current qualifications:\n- Functional Skills: for students who have achieved a GCSE Grade E/Level 2 or below\nDesigned to help prepare you for GCSEs\n- GCSE maths and English: for students who have achieved a GCSE Grade D/Level 3\nDesigned to help you achieve a Grace C/Level 4 or higher at GCSE\n- Upskilling: for students who have achieved a GCSE Grade C/Level 4 or higher\nDesigned to help you improve your skills", "label": "Yes"} {"text": "A Coq formal proof of the LaxMilgram theorem\nCPP, pp. 79-89, 2017.\nThe Finite Element Method is a widely-used method to solve numerical problems coming for instance from physics or biology. To obtain the highest confidence on the correction of numerical simulation programs implementing the Finite Element Method, one has to formalize the mathematical notions and results that allow to establish the soundne...More\nFull Text (Upload PDF)\nPPT (Upload PPT)", "label": "Yes"} {"text": "98% of our clients love us! Contact us to hear why. We serve Buffalo and all surrounding areas.\nAward-Winning Private Math Tutoring in Akron, NY\nOne-on-one, personalized tutoring\nPrivate In-Home and Online Math Tutoring in Akron, NY\nReceive personally tailored Math lessons from exceptional tutors in a one-on-one setting. We help you connect with in-home and online tutoring that offers flexible scheduling and your choice of locations.\nHow can a Math tutor help you?\nPossessing a functional understanding of mathematics is not simply a significant portion of a student's scholastic career, but it is a vital working aspect used in the day-to-day lives of nearly every person on the planet today. As a direct consequence of this fact, it is crucial that every child has a solid foundation in the basics of math. That foundation is needed to correctly utilize currency in order to buy and sell goods and services, work with modern technology, and to pursue many future academic goals. If you are the parent of a young child in grade school who is stressed with trying to comprehend the fundamental principles of math, consider having them study in a one-on-one setting where they can obtain the assistance they need. The educational directors at Varsity Tutors can help you meet with an independent skilled math tutor in Akron, NY, who is able to assist students in properly preparing for math.\nWith a professional private math tutor in Akron, your child could not miss anything. If the teacher covered the topic of fractions too quickly, or if your student does not have an understanding of the relationship between fractions and decimals, their tutor can take all the time they need to explain it in ways that are easily understood. Tutoring, unlike regular classroom learning, centers on a one-on-one relationship involving the instructor and your child, offering immediate feedback and constructive criticism that can't be found in a traditional academic setting. This fosters self-esteem and a greater confidence in the course material being presented, and it can expand to benefits outside of the classroom curriculum, such as improved deductive reasoning and time-management techniques. No matter what areas your student needs help with, their tutor will have a wealth of real-world experience in math and will be in a position to effectively answer their questions and efficiently solve their problems.", "label": "Yes"} {"text": "Parameter Estimation for Stable Distribution: Spacing based and Indirect Inference\n- Author(s): Tian, Gaoyuan\n- Advisor(s): Jammalamadaka, S.Rao\n- et al.\nStable distributions are important family of parametric distributions widely used in signal processing as well as in mathematical finance.\nEstimation of the parameters of this model, is not quite straightforward due to the fact that there is no closed-form expression for their probability density function. Besides the computationally intensive maximum likelihood method where the density has to be evaluated numerically, there are some existing adhoc methods such as the quantile method, and a regression based method. These are introduced in Chapter 2.\nIn this thesis, we introduce two new approaches: One, a spacing based estimation method introduced in Chapter 3 and two, an indirect inference method considered in Chapter 4.\nSimulation studies show that both these methods are very robust and efficient and do as well or better than the existing methods in most cases.\nFinally in Chapter 5, we use indirect inference approach to estimate the best fitting income distribution based on limited information that is often available.", "label": "Yes"} {"text": "Quantum Probability And Related Topics: Qp-pq (Volume Ix) - Qp-pq: Quantum Probability And White Noise Analysis 9 (Paperback)Luigi Accardi (editor)\n- We can order this\nPublisher: World Scientific Publishing Co Pte Ltd\nNumber of pages: 388\nWeight: 540 g\nDimensions: 214 x 155 x 22 mm\nYou may also be interested in...\nPlease sign in to write a review", "label": "Yes"} {"text": "National Mathematics Day\nDecember 22 was designated as National Mathematics Day (NMD) by Government of India in 1987. Since then this day is celebrated throughout the country with great enthusiasm. IPS Academy, IES, Department of Mathematics every year celebrates National Mathematics Day on 22nd December to commemorate the Birthday on Srinivasa Ramanujam.\nCelebration of Mathematics Day on 22 December 2020", "label": "Yes"} {"text": "- Is 0.2 or 0.25 bigger?\n- Is 0.25 or 0.05 greater?\n- Is 0.7 the same as 7?\n- Is 0.01 or 0.05 bigger?\n- Is 0.7 or 0.07 smaller?\n- What does 0.01 mean in math?\n- Is 0.1 and 0.10 the same?\n- Is 0.1 and 1 the same?\n- Is 0.5 or 0.75 greater?\n- Is 0.5 or 0.7 smaller?\n- What does 0.01 mean?\n- How do you know which decimal is smaller?\n- Which fraction converts to a terminating decimal number?\n- What is a decimal equivalent to?\n- Is 0.5 and 0.05 the same?\n- Is 0.5 or 0.25 bigger?\n- What is .01 as a percent?\nIs 0.2 or 0.25 bigger?\nAnswer: 0.25 is bigger than 0.2 because of an additional 0.05..\nIs 0.25 or 0.05 greater?\n0.25 is bigger than 0.05. Both are less than 1,So if you compare the decimal parts starting after the decimal point and working towards right; comparing the tenth:0.25 has 2 tenths and 0.05 has 0 tenth. So comparing both tenth ,0.25 is bigger than 0.05.\nIs 0.7 the same as 7?\nThe right of the decimal point is like a fraction. … For example, 0.7 is in the tenths place and represents the fraction 7/10. In the number 0.07 the 7 is in the hundredths place and is the same as the fraction 7/100.\nIs 0.01 or 0.05 bigger?\nSo 1% (0.01) is greater than 5% (0.05), in that we can more comfortably accept alternative hypotesis (there is difference, there is association or correlation).\nIs 0.7 or 0.07 smaller?\nA decimal number is just a fractional number. Comparing 0.7 and 0.07 is clearer if we compared 7/10 to 7/100. The fraction 7/10 is equivalent to 70/100 which is clearly larger than 7/100. … If each decimal place value is the same then the decimals are equal.\nWhat does 0.01 mean in math?\nHundredth means 1/100. In decimal form, it is 0.01.\nIs 0.1 and 0.10 the same?\nFor example, 0.1 (one tenth) is equal to 0.10 (ten hundredths). Let’s take a look at a model given below to understand equivalent decimals in a better way. From the model, it is clear that 0.1 is equal to 0.10.\nIs 0.1 and 1 the same?\n0.1 is a number, but a fraction is how much OF something which could vary. So . 1 could be one-tenth of 1 but it would not one-hundredth of 10. … It the thoughts are along these lines they’re not seeing fractions as numbers.\nIs 0.5 or 0.75 greater?\n0.75 first since it’s the greatest. 0.55 is next since it’s larger than 0.5 but, smaller than 0.75.\nIs 0.5 or 0.7 smaller?\n0.7 is larger than 0.5 by 0.2. 0.7, because both 0.7 and 0.5 are positive number and 0.5 is closer to 0 than 0.7.\nWhat does 0.01 mean?\n0.01 (point zero one) which is also equal to 1/100.\nHow do you know which decimal is smaller?\nThe greater a decimal is, the closer it is to one whole. The smaller a decimal is the farther it is from one whole. The first thing you need to look at is the digit number in each decimal. These each have two digits in them, so you can compare them right away.\nWhich fraction converts to a terminating decimal number?\nAny rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal.\nWhat is a decimal equivalent to?\nIn algebra, equivalent decimals are two decimal numbers that are equivalent, that is, they represent the same value or amount. Here, both the decimal numbers show the same amount of space taken.\nIs 0.5 and 0.05 the same?\n0.5 is greater then 0.05. As, 0.5=5/10 but 0.05=5/100.\nIs 0.5 or 0.25 bigger?\n0.5 because 0.5 is the same as 0.50, which is larger than 0.25.\nWhat is .01 as a percent?\n0.1%Decimal to percent conversion tableDecimalPercent0.0010.1%0.011%0.022%0.033%20 more rows", "label": "Yes"} {"text": "Define the following terms using mathematical notations. Also provide example for each term- Subset Universal set Power set\nThe Answer to the Question\nis below this banner.\nHere's the Solution to this Question\nLet us define the following terms using mathematical notations and also provide example for each term.\nWe say that a set is a subset of a set if each elements belongs to For example, let Since impllies we conclude that is a subset of\nA universal set is a set which contains all objects that may appear in some task or class of tasks. For example, if the problem lies in finding the real roots of quadratic equations, then for this task the universal set is the set of real numbers.\nThe power set (or powerset) of a set is the set of all subsets of , including the empty set and itself, that is For examle for the set its power set where is the empty set.", "label": "Yes"} {"text": "Reviews - Hackety Hacking the Computer Science Classroom Workspace\nThis resource has not yet been reviewed.\nInformation - Hackety Hacking the Computer Science Classroom Workspace\nGraphic Organizer/Worksheet, Other\nThis wiki page contains the complete problem set developed for the OLPC SoCon project.\nCareer & Technical Education > General Career & Technical Education > Technology Mathematics > General Mathematics > Algebra Mathematics > Equations Mathematics > Number Sense & Operations Mathematics > Problem Solving", "label": "Yes"} {"text": "You found Ms. Kivi!\nWelcome to my webpage! I will be teaching Math 3 and Honors Math 3 for the 2023-24 school year and am looking forward to working with you. It is an honor to teach at Northwest!\nPlease be sure you are logged into my Remind for updates that will be posted.\nText to 81010\nMath 3 @kivi323\nHonors Math 3 @kivih323", "label": "Yes"} {"text": "High speed and high resolution. Breakthrough ADC technology switches from 8 to 16 bits in the same oscilloscope.\nFigure 2 shows a typical trace of the sound wave beating.\nQ1. Estimate the beat frequency of the sound wave.\nA1. Frequency is calculated using the frequency formula:\nFrequency = (time taken for one complete cycle to pass)-1\nFrom the graph we measured that a beat occurs every 40 ms.\nBeat frequency = (40 ms)-1 = 25 Hz\nQ2. Estimate the frequencies of the two sound waves from the signal generators.\nA2. From the graph we measured 1 cycle in 2233 ms.\nFrequency of the combined signal = (2233 ms)-1 = 448 Hz\nThe two frequencies can now be calculated using the combined frequency and the beat frequency. Frequencies of the initial waveform = Frequency of the combined waveform ± the beat frequency.\nFrequency of initial sound waves = 448 Hz ± 25 Hz\nf1= 423 Hz and f2= 473 Hz\nThe two frequencies were measured to be 423 Hz and 473 Hz using the frequency meter in PicoScope, this gave a beat frequency of 24 Hz (this should be 25 Hz, the error was probably due to the setting of the signal generators). Figure 3 below shows the output from the spectrum analyzer.\nQ3. What would happen if the amplitudes of the two sound sources were not equal?\nA3. If the two sound waves are at similar frequencies but of different amplitudes the two sound waves would not cancel each other out at the destructive interference points. This sound wave would look like the one shown in figure 4.\nFigure 5 show the spectrum of the combined waveforms, showing the difference in magnitude of the two wave forms.\nThis experiment was written by Dick Robinson of Maesydderwen School.", "label": "Yes"} {"text": "Gaspard Monge, count de Péluse, (born May 10, 1746, Beaune, France—died July 28, 1818, Paris), French mathematician who invented descriptive geometry, the study of the mathematical principles of representing three-dimensional objects in a two-dimensional plane; no longer an active discipline in mathematics, the subject\n- 1 What is descriptive geometry in math?\n- 2 What was Gaspard Monge known for?\n- 3 What is descriptive geometry in architecture?\n- 4 Which historical period has the descriptive geometry been geometrically coded?\n- 5 What does Monge mean?\n- 6 Who coined the term fractal?\n- 7 Who invented log table?\n- 8 Who discovered hyperbolic geometry?\n- 9 Who invented symplectic geometry?\n- 10 Who discovered Euclidean geometry?\n- 11 What is plane and descriptive geometry?\n- 12 What is differential geometry used for?\n- 13 Why is projective geometry important?\nWhat is descriptive geometry in math?\nDescriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions by using a specific set of procedures. All geometric aspects of the imaginary object are accounted for in true size/to-scale and shape, and can be imaged as seen from any position in space.\nWhat was Gaspard Monge known for?\nGaspard Monge (1746–1818) is considered the father of differential geometry. His classical work on the subject, Application de l’Analyse a la Géométrie, was published in 1807 and was based on his lectures at the Ecole Polytechnique in Paris. It eventually went through five editions.\nWhat is descriptive geometry in architecture?\nDescriptive geometry is a section of geometry in which different methods of three- dimensional representation of objects on a flat surface are studied. It is one of the main disciplines in professional training of an architect.\nWhich historical period has the descriptive geometry been geometrically coded?\nDescriptive geometry as a science was formed in the end of the 18th century in France by Gaspard Monge, but various methods of projection were used long before.\nWhat does Monge mean?\nnoun. monk [noun] a member of a male religious group, who lives in a monastery, away from the rest of society.\nWho coined the term fractal?\nThe term fractal, derived from the Latin word fractus (“fragmented,” or “broken”), was coined by the Polish-born mathematician Benoit B. Mandelbrot. See the animation of the Mandelbrot fractal set.\nWho invented log table?\nThe Scottish mathematician John Napier published his discovery of logarithms in 1614.\nWho discovered hyperbolic geometry?\nThe first published works expounding the existence of hyperbolic and other non-Euclidean geometries are those of a Russian mathematician, Nikolay Ivanovich Lobachevsky, who wrote on the subject in 1829, and, independently, the Hungarian mathematicians Farkas and János Bolyai, father and son, in 1831.\nWho invented symplectic geometry?\n2. Symplectic geometry as Lagrange did it. The first symplectic manifold was introduced by Lagrange [LAI] in 1808.\nWho discovered Euclidean geometry?\nEuclidean geometry, the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid (c. 300 bce). In its rough outline, Euclidean geometry is the plane and solid geometry commonly taught in secondary schools.\nWhat is plane and descriptive geometry?\nPlanes are the most fundamental and most common found in the field of descriptive geometry. A plane is defined as a flat surface that could be represented by three points that are not in a straight line, a straight line and a point not of the line, two intersecting lines, and two parallel lines.\nWhat is differential geometry used for?\nIn structural geology, differential geometry is used to analyze and describe geologic structures. In computer vision, differential geometry is used to analyze shapes. In image processing, differential geometry is used to process and analyse data on non-flat surfaces.\nWhy is projective geometry important?\nIn general, by ignoring geometric measurements such as distances and angles, projective geometry enables a clearer understanding of some more generic properties of geometric objects. Such insights have since been incorporated in many more advanced areas of mathematics.", "label": "Yes"} {"text": "...If you are a graduate student in a Master's or Doctoral program, I can help you with designing your research model and interpreting results in your dissertation project.I teach advanced statistics classes to doctoral students at a private university in Orange County. I advise students on their d...\nAltadena, CAView Tutor\n...I am a caring, intelligent and entertaining tutor with over 7 years of experience working with high schoolers in SAT prep and in all levels of Math from Algebra I and Geometry through Calculus. I have a deep love of all things mathematical, and I find teaching reading strategies, writing techniq...\nSherman Oaks, CAView Tutor\n...Whether you're totally lost in your classes, need help improving your ACT or SAT scores, or want assistance crafting an eye-catching essay, I'm here to help. In addition to providing support with the aforementioned tasks, I've also enjoyed tremendous success helping students draft razor-sharp pe...\nLos Angeles, CAView Tutor\n...Since retiring I have continued to teach statistics at such schools as UCLA, UCLA Extension, Cal State Northridge, Loyola-Marymount and Argosy University. At Argosy I have taught statistics and research design as well as directing doctoral dissertations and being on dissertation committees. I enjoy working one-on-one with motivated students in face-to-face situations.\nMarina Del Rey, CAView Tutor\n...Over 30 years experience teaching adults in vocational schools in subjects dealing with computer programming, graphics design, accounting, income tax preparation and various college level match courses (statistics and linear algebra). I have 30+ years experience in bilingual (English and Spanish)...\nHuntington Park, CAView Tutor", "label": "Yes"} {"text": "Hamiltonian Cycles in the Square of a Graph\nEKSTEIN, J. Hamiltonian Cycles in the Square of a Graph. 447 Altgeld Hall, Universityof Illinois, 2013.\n|Anglický název:||Hamiltonian Cycles in the Square of a Graph|\n|Autoři:||RNDr. Jan Ekstein Ph.D. ,|\n|Abstrakt EN:||Let G be a simple undirected graph. The square of G is the graph with the same vertex set as G, in which two vertices are adjacent if and only if their distance in G is at most 2. A famous result of Fleischner states that the square of G of any 2-connected graph is hamiltonian. We show that under certain conditions the square of the graph obtained by identifying a vertex in two graphs with hamiltonian square is also hamiltonian. Using this result, we prove necessary and sufficient conditions for hamiltonicity of the square of a connected graph such that every vertex of degree at least three in a block graph corresponds to a cut vertex and any two these vertices are at distance at least four.|", "label": "Yes"} {"text": "New Directions in Iwasawa Theory (16w5043)\nTed Chinburg (University of Pennsylvania)\nFrauke Bleher (University of Iowa)\nGeorgios Pappas (Michigan State University)\nRomyar Sharifi (University of Arizona)\nRalph Greenberg (University of Washington)\nA main goal of this workshop is to prepare the ground for anticipated significant scientific developments in the mathematical sciences. Iwasawa theory is undergoing rapid change in several directions. One goal of the workshop will be to map out some primary new objectives for Iwasawa theory over the next ten years.\nThis workshop will bring together researchers and advanced Ph.D. students working on Iwasawa theory and related topics in K-theory, commutative algebra and modular forms in order to further advance these fields. A specific objective of the workshop will be to discuss recent advances in Iwasawa theory, as discussed in the section of the proposal concerning the subject area of the workshop. Another objective is the development of deeper ties between Iwasawa theory and algebraic K-theory.\nIt will bring together researchers with a wide range of expertise in number theory, algebraic K-theory, homological algebra and arithmetic geometry. It will also introduce young researchers and members of underrepresented groups to previous work as well as new directions for research in these areas. A workshop about Iwasawa theory is timely in view of the recent proofs of a number of Main Conjectures about first Chern classes. These include the non-commutative Main Conjecture over totally real fields in 2010, the final form of the commutative Main Conjecture over imaginary quadratic fields in 2011, and recent progress on Main Conjectures relating to modular forms.\nIt is appropriate to have this workshop in 2016 because the organizers (Bleher, Chinburg, Greenberg, Pappas and Sharifi) are currently P.I.'s on a Focused Research Group award from the N.S.F. concerning Iwasawa theory and Chern classes. Two consultants on the FRG grant are Mahesh Kakde and Martin J. Taylor. This N.S.F. FRG project includes as one goal organizing a conference on Iwasawa theory in 2016.", "label": "Yes"} {"text": "Find common elements in matrix rows\nFind the jerk\nCalculate the Hamming distance between two strings\nintersection of matrices\nDivide elements by sum of elements\nInteger to boolean\nHappy Free Wednesday!\nreplace nan values iteratively.\nBridge and Torch Problem - Probability\nFind the treasures in MATLAB Central and discover how the community can help you!\nChoose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select: .\nYou can also select a web site from the following list:\nSelect the China site (in Chinese or English) for best site performance. Other MathWorks country sites are not optimized for visits from your location.\nContact your local office", "label": "Yes"} {"text": "Description: In this lecture, Prof. Adams discusses some qualitative features of quantum mechanical bound states. He then solves the problem of a particle in a finite potential well as the last example of bound state in the course.\nInstructor: Allan Adams\nThe following content is provided under a Creative Commons license. Your support will help MIT OpenCourseWare continue to offer high quality educational resources for free. To make a donation or to view additional materials from hundreds of MIT courses, visit MIT OpenCourseWare at ocw.mit.edu.\nPROFESSOR: So today is going to be our last pass at bound states. So starting next week or actually starting next lecture, we're going to look at scattering. Scattering's going to be great. But we need to close out bound states.\nSo today's topic is the finite well, finite the potential well. We've sort of sketched this when we looked at qualitative structure of wave functions of energy eigenstates. But we're going to solve the system today.\nSo good. So the system we're interested in is going to be--\nThe system we're interested in is going to be a system with a finite depth and a finite width. And I'll go into detail and give you parameters in a bit. But first I want to just think about how do we find energy eigenfunctions of a potential of this form, v of x, which is piecewise constant.\nSo first off, is this is a terribly realistic potential? Will you ever in the real world find a system that has a potential which is piecewise constant? Probably not. It's discontinuous. Right? So it's rather unphysical. But it's a very useful toy model.\nSo for example, if you take a couple of capacitor plates, then you can induce a situation where the electric field is nonzero in between the capacitor plates and zero outside of the capacitor plates. Right. So at a superficial level, this looks discontinuous. It looks like the electric field is--\nBut actually, you know that microscopically there are a bunch of charges, and everything is nice and continuous except for the behavior right at the charges. So but it's reasonable to model this as a step function for an electric field. So this is going to be an idealization, but it's going to be a very useful idealization, the constant potential.\nOK. So what's the equation? What are we trying to do? We want to find the energy eigenstates for this because we want to study the time evolution. And the easiest way to solve the Schrodinger equation, the time evolution equation, is to expand an energy eigenstates.\nSo the equation we want to solve is energy eigenvalue times phi e of x is equal to minus h bar squared on 2m phi e phi prime plus v of x. And I'm going to put it in the form we've been using. Phi prime prime e of x is equal to 2m upon h bar squared v of x minus e. OK. So this is the form that I'm going to use today to solve for the energy eigenvalue equations.\ne is some constant. Do you expect the allowed energies to be arbitrary? No. They should be discrete. Yeah, exactly.\nSo we expect that there should be discrete lowest energy state, some number of bound states. And then, eventually, if the energy is greater than the potential everywhere, the energies will be continuous. Any energy will be allowed above the potential. So we'll have a continuum of states above the potential. And we'll have a discrete set of bound states--\nProbably, it's reasonable to expect some finite number of bound states just by intuition.\n--from the infinite well. So we expect to have a finite number of discrete energies and then a continuous set of energies above zero. So if this is the asymptotic value potential of zero. OK. And this is intuition gained from our study of qualitative structure of energy eigenfunctions.\nSo we are going to talk today about the bound states. And in recitation, leaders should discuss the continuum above zero energy. OK. So to solve for the actual energy eigenfunctions and the energy eigenvalues, what we need to do is we need to solve this equation subject to some boundary conditions. And the boundary conditions we're going to want to solve are going to be finite. So it's normalizable infinity. The solution should be vanishing far away. And the wave function should be everywhere smooth. Well, at least it should be continuous.\nSo let's talk about what exactly boundary conditions we want to impose. And so in particular, we're going to want to solve for the energy eigenfunctions in the regions where the potential is constant and then patch together solutions at these boundaries. We know how to solve for the energy eigenfunctions when the potential is constant. What are the energy eigenfunctions?\nYeah. Suppose I have a potential, which is constant. v is equal to 0. What are the energy eigenfunctions of this potential?\nPROFESSOR: Yeah, e to the ikx. Yeah. Now, what if I happen to tell you--\nSo we're at h bar squared k squared upon 2m is equal to the energy. Suppose I happen to tell you that here's the potential. And I want to find the solution in this region where the energy is here less than the potential. What are the solutions?\nThat's a second order differential equation. There should be two solutions. What are the solutions to that differential equation when the energy is less than the potential?\nAUDIENCE: Decaying and growing.\nPROFESSOR: Decaying and growing exponentials. Exactly. e to the plus alpha x and e to the minus alpha x. And the reason is these are sinusoidal, and these have the opposite concavity. They are growing and dying exponentials. Cool?\nOK. So we've studied that. Yeah?\nAUDIENCE: Shouldn't that be a phi e of x?\nPROFESSOR: Sorry. Oh, oh, yes, indeed. Sorry. Thank you. Phi e of x. It's early, and I'm still working on the coffee. It won't take long. Good. So we know how to solve the energy eigenvalue equation in all these regions where the potential is constant. So our job is going to be to find a solution where we patch them together at these interfaces. We patch them together.\nAnd what condition should we impose? So the basic condition is going to be continuity of the wave functions phi e of x. And so what are the conditions that we need?\nWell, if v of x--\nHere's the way I like to think about this. Suppose v of x is continuous. So if the potential is continuous, then what can you say? You can say that phi prime prime is a continuous function times phi of x.\nSo very roughly, if we look at a region where phi isn't varying very much, so if we have a potential that's varying in some way, then phi prime prime, in a region where it's not varying much compared to its value as a function of x, does something smooth because it's varying with the potential. And so phi prime, which is just going to be the integral of this--\nThe integral of a smooth function is again a smooth function.\n--and phi, the integral of that function is also going to be a nice, smooth function. OK? I've drawn it badly, but--\nSo the key thing here is that if the potential is continuous, then the energy eigenfunction has a second derivative, which is also continuous. That means its first derivative is continuous. So that means the function itself is continuous. Everyone agree with this? Questions? So in regions where the potential's continuous, the wave function and its first two derivatives all have to be continuous.\nOn the other hand, suppose the potential has a step. v of x has a step discontinuity. OK. So the potential does one of those. So what does that tell you about phi prime prime? It's a function of x.\nSo for example, let's look at that first step. Suppose the potential is that first step down by some amount. Then phi prime prime is going to decrease precipitously at some point. And the actual amount that it decreases depends on the value of phi because the change in the potential time is the actual value of phi.\nAnd if that's true of phi prime prime what can you say of phi prime? So this is discontinuous. Phi prime of x, however, is the integral of this discontinuous function. And what does it do?\nWell, it's linearly increasing in this region because its derivative is constant. And here, it's linearly increasing less. So it's not differentiably smooth, but it's continuous.\nAnd then let's look at the actual function phi of x. OK. What is it doing? Well, it's quadratic. And then here it's quadratic a little less afterwards. But that still continuous because it's the integral of a continuous function. Everyone we cool with that? So even when we have a step discontinuity in our potential, we still have that our derivative and the value of the function are continuous. Yeah?\nHowever, imagine the potential has this delta function. Let's just really push it. What happens if our potential has a delta function singularity? Really badly discontinuous.\nThen what can you say about phi prime prime as a function of x? So it has a delta function, right? So the phi prime prime has to look like something relatively slowly varying, and then a step delta function. So what does that tell you about the derivative of the wave function?\nIt's got a step function. Exactly. Because it's the integral of this, and the integral is 0, 1. Whoops. I missed.\nSo this is a delta. This is a step. And then the wave function itself is, well, it's the integral of a step, so it's continuous. Sorry.\nIt's certainly not differentiable. Its derivative is discontinuous. Well, it's differentiable but its derivative's not supposed to be. It is not continuous, indeed.\nSo this is continuous. So we've learned something nice, that unless our potential is so stupid as to have delta functions, which sounds fairly unphysical--\nWe'll come back to that later in today's lecture.\n--unless our potential has delta functions, the wave function and its first derivative must be smooth. Yeah. This is just from the energy eigenvalue equation.\nNow, we actually argued this from the well definedness and the finiteness of the expectation value of the momentum earlier in the semester. But I wanted to give you this argument for it because it's going to play a useful role. And it also tells us that if we do have a delta function singularity in the potential, then the upshot is that the wave function is going to be continuous, but its first derivative will not. Its first derivative will jump at the wave function.\nAnd that means that the wave function--\nLet me draw this slightly differently.\n--the wave function will have a kink. Its derivative will not be continuous. OK. So anywhere where we have a delta function in the potential, we will have a kink in the wave function where the first derivative is discontinuous. Cool? Yeah.\nAUDIENCE: What does that mean as far as the expectation value of the momentum?\nPROFESSOR: Ah, that's an excellent question. So what do you expect to happen at such a point?\nAUDIENCE: Well, your momentum blows up.\nPROFESSOR: Yeah, exactly. So we're going to have some pathologies with expectation values in the momentum. Let's come back to that when we talk about the delta function potential, which should be at the end of today. Hold that question in the back of your head. It's a good question. Other questions?\nOK. So what we're going to do now is we're going to use, you know, math to find the energy eigenfunctions and eigenvalues for the finite well potential, i.e. we're going to solve this equation contingent on the boundary conditions that the wave function and its derivative are smooth everywhere. And in particular, they must be smooth here and here. I mean they've got to be smooth everywhere.\nWe know what the solution is inside here. We know what the solution is in here. All we have to worry about is what happens at the interface. And we're going to use smoothness of the wave function and its derivative to impose conditions that allow us to match across that step. Everyone cool with that?\nOK. So let's do it. By the way, just a quick side note. Let me give you a definition. I've used this phrase many times, but I haven't given you a definition of it.\nSo I've used the phrase, bound state. And its opposite is called a scattering state. So here's what I mean by a bound state. Intuitively, a bound state, if you think about this classically, imagine I have a potential well. And I have a marble, and I let go from here. This marble is bound. Right? It's never getting out of the well. It's stuck. Yeah?\nAnd so I would call that a bound marble. On the other hand, a marble that I give a huge kick to, big velocity so that it can get out, well then it's not bound to this potential well. So I'll call that a scattering state just to give it a name. And next lecture we'll see why we call it a scattering state.\nThe important thing is that bound configurations of a classical potential are things basically in a well that are stuck. OK. So the quantum version of that statement is the following.\nSuppose I take this potential, and I treat it quantum mechanically, and I consider a state with total energy like this. Well, among other things, the total energy is less than the value of the potential asymptotically far away. So what is the form of a wave function in this region with this energy? Exponential, right? It's e to the minus some alpha x, where alpha squared is roughly the difference, alpha x.\nAnd out here it's going to be e to the plus alpha x. And that's for normalizability. We want to have a single particle in this state.\nSo what that tells us is that the wave function falls off in these classically disallowed regions exponentially. And so the probability of measuring the particle at an arbitrarily far position goes to zero. And it goes to zero exponentially rapidly. Cool?\nSo I will call a bound state, a quantum bound state, an energy eigenstate, such that the probability falls off exponentially as we go far away from wherever we think is an interesting point, like the bottom of the well. Cool? A bound state is just a state which is exponentially localized. If you put it there, it will stay there. Yeah.\nAnd it's important that when I say a bound state I'm talking about energy eigenstates. And the reason is this. Bound state equals energy eigenstate. The reason is that, consider by contrast a free particle, so a free particle with constant potential. What are the wave functions? What are the energy eigenfunctions?\nWell, they're plane waves. Right. So are these bound states? No. Good.\nOK. On the other hand, I claimed that I can build a wave packet, a perfectly reasonable wave packet, which is a Gaussian. OK. This is some wave function, psi of x times 0. It's a Gaussian. It's nice and narrow. Is that a bound state?\nWell, it's localized at this moment in time. But will it remain, and in particular its probability distribution, which is this thing norm squared is localized in space--\nSorry. This was zero.\n--it's localized in space. The probability of it being out here is not just exponentially small, it's Gaussian so it's e to the minus x squared. It's really not out here. But what happens if I let go? What happens if I look at the system at time t? It's going to spread out. It's going to disperse. We're going to talk about that in more detail later.\nSo it's going to spread out. And eventually, it will get out arbitrarily far away with whatever probably you like. So the probability distribution is not time invariant. That is to say it's not a stationary state. It's not an energy eigenstate. Saying something is bound means that it never gets away.\nSo bound states are specifically energy eigenstates that are strictly localized, that fall off at least exponentially as we go away from the origin. Cool? It's just terminology, what I mean by a bound state. Questions?\nOK. So let's talk about the finite well. So I need to give you definitions of the parameters. Let's draw this more precisely. Here's my well. Asymptotically, the potential is zero. The potential depth, I'm going to call minus v naught. OK. And I'm going to center the well around zero. And I'll call the sides minus l and l.\nAnd I want to find bound states of this potential, just like we found bound states of the harmonic oscillator, i.e. states with energy e, which is less than zero. So these are going to give us bound states because we're going to have exponential fall offs far away.\nSo a couple of things to note. The first is on, I think, problem set three or four you showed that if you have a potential, which is symmetric, which is even, under x goes to minus x, then every energy eigenfunction, or at least every bound state energy eigenfunction, every energy eigenfunction can be written as phi e symmetric or phi e anti-symmetric. So it's either even or odd. It's either even or odd under the exchange of x to minus x.\nSo when our potential is symmetric, the wave function or the energy eigenfunctions are either symmetric or anti-symmetric. OK. So we want to solve for the actual eigenfunctions. So we want to solve that equation.\nAnd we have this nice simple fact that we know the solutions in this region. We know the general solution in this region. We know the general solution in this region. So I'm going to call these regions one, two, and three, just to give them a name.\nSo in region one--\nThat's actually sort of stupid. Let's call this inside, left, and right. Good. OK. So let's look at this equation.\nWe have two cases. If the energy is greater than the potential in some region, then this is of the form phi prime prime is equal to energy greater than potential. This is a negative number. And so this is a minus k squared phi. And we get exponentials. And if, on the other hand, e is less than v of x, then phi prime prime is equal to plus alpha squared phi. I should say oscillator.\nAnd in particular here, I want the k squared is equal to 2m upon h bar squared. It's just the coefficient v minus e. And alpha squared is equal to 2m over h bar squared e minus v.\nOK. So let's apply that here. So in this region, we're going to get oscillations because we're in a classically allowed region, where the energy is greater than the potential. So we'll get oscillatory solutions. And the salient value of k inside, is k is equal to the square root of 2m over h bar squared times v minus e. So that's minus v naught.\nWhat did I do? I did. It's e minus v. I thank you. Yes. And I want the other one to be l so it'd be minus v. Good. Good. Excellent.\nSo root 2 over h bar squared. And now we have e minus v naught, which is the actual value of e, which is negative. Right? But minus v naught or plus v naught is positive and greater in magnitude. So this is a nice positive number, and k is the square root of it. This is controlling how rapidly the wave function oscillates in this region.\nSimilarly, out here we have alpha is equal to--\nWell, here the potential is zero. So it's particularly easy. Alpha is equal to the square root of 2m upon h bar squared of--\nNow z minus e is zero minus e, which is a negative number. So we can just write e absolute value. So we can write the general solution of this eigenfunction, of this eigenvalue equation, as phi e of x is equal to--\nLet's break it up into inside and outside. Well, inside we know, since it's constant with this value of k, we get superpositions of oscillatory solutions. It' a second-order difference equation. There are two solutions and two integration constants.\nSo first we have a cosine of kx plus b sine kx. This is inside. And then on the left we have a combination of exponentially growing and exponentially decreasing. So the exponentially growing is e to the alpha x plus de the minus alpha x. And on the right, similarly by symmetry, we have some combination of e--\nBut I don't want to call it the energy, so I'll call it the curly e.\n--to the alpha x plus fe to the minus alpha x. OK. So that's the general solution. We solve the problem as a superposition of the two oscillatory solutions or a superposition of the two exponentially growing and damped solutions or exponentially growing and collapsing functions on the left and right. Questions?\nSo a couple of things to note at this point. So the first is we have boundary conditions to impose. We have boundary conditions at these two interfaces. But we also have boundary conditions off in infinity. What are the boundary conditions at infinity?\nYeah, exactly. It should vanish. So we want the system to be normalizable. So normalizable is going to say that phi goes to zero at minus infinity. Phi of x goes to minus infinity goes to zero, which it equals. And phi of x goes to plus infinity should also be zero. OK. And then we're also going to have the conditions at the left boundary, and we're going to have conditions at the right boundary.\nAll right. So what are the boundary condition at the left boundary condition? So first off, what are the boundary conditions we want to impose at the left and right boundaries?\nPROFESSOR: Continuous, and the derivative should be continuous. Exactly. So we have that phi is continuous, and phi prime--\n--phi prime is continuous. Similarly, phi continuous, phi prime continuous. OK. Do we have enough boundary conditions to specify our function? So we have now for our solution, we have six undetermined coefficients. And we have six boundary conditions. So that looks good.\nAre they all independent? Ponder that one. So in particular, let's start with the normalizable. So in order for phi to go to zero at minus infinity deep out on the left, what should be true? Yeah, d goes to zero. Oops, equals zero. And on the right?\nYeah, that curly e equals 0, which is nice so I don't ever have to write it again. So that's zero. And that's zero. OK. That's good.\nWe can take advantage though of something nice. We know that the wave function has to be either symmetric or anti-symmetric. Right? So we can exploit that and say, look, the wave function is going to be different from our boundary conditions, but it's a true fact, and we can take advantage of it. We can use the parody of the well. I can never--\nSo we can use the parody of the potential to say that the system is either symmetric or anti-symmetric. And these are often said as even or odd because the function will be, as a function of x, either even or odd. You either pick up a minus sign or a plus sign under taking x to minus x.\nSo if the system is even, what can we say about these coefficients? What must be true of b, for example?\nAUDIENCE: It's zero.\nPROFESSOR: Yeah. So b equals 0. And what else?\nAUDIENCE: It equals f.\nPROFESSOR: This equals f. Yeah, good. OK. This equals f. And if the system is anti-symmetric, then a equal to 0. And we see that c is equal to minus f. Yeah? So that's a useful simplification.\nSo it's easy to see that we could do this either way. We could do either symmetric or anti-symmetric. I'm going to, for simplicity in lecture, focus on the even case. b is equal to 0, and c is equal to minus f. Sorry, c is equal to f. So plus c. So now we're specifically working with the even solutions. And on your problem set, you'll repeat this calculation for the odd functions.\nSo we're going to focus on the even solutions. And now what we have to do is we have to impose the boundary conditions for phi and phi prime. So that's easy enough.\nWe have the function. All we have to do is impose that the values are the same. So for example, let's focus on the left boundary conditions. Sorry. Let's focus on the right because I don't want to deal with that minus sign. So let's focus on the right boundary conditions.\nSo this is x is equal to plus l. So when x is equal to plus l, what must be true? Phi and phi prime must be continuous. So what's phi? So phi is equal to--\nWell, from inside, it's a cosine of kl. Yeah. And b is gone because we're only looking at the even functions. On the right, however, it's equal to c e to the minus alpha l because we're evaluating at the right boundary. Yeah?\nOK. So this is cool. It allows us to determine c in terms of a. And if we solve that equation for c in terms of a, we'll get an eigenfunction, phi even, with one overall normalization coefficient, a. And then we can fix that to whatever it has to be so that everything integrates to one. Yeah? So that seems fine. It seems like we can solve for c in terms of a. c is equal to--\nThis is weight. Well, OK. So c is equal to a cosine e to the plus alpha l. On the other hand, we also have a condition on the derivative. And the condition on the derivative is that phi prime is continuous. And the derivative of this, well that's easy. It's the derivative of cosine.\nSo this is going to be minus sine. But we pull out a factor of k, because we're taking derivative with respect to x. Minus k is sine of kx. Evaluate it out, sine of kl, l. And this is going to be equal to minus alpha c e to the minus alpha l.\nAUDIENCE: You forgot an a.\nPROFESSOR: Oh, yes. There should be an a. Thank you. OK. So but now we've got a problem because this says that c is equal to minus a times k over alpha sine of kl times e to the alpha l. And that's bad because c can't be equal to two different numbers at the same time. There's a certain monogamy of mathematical equations. It just doesn't work.\nSo how do we deal with this? Well, let's think about what these equations would have meant. Forget this one for the moment, and just focus on that first expression. I'm going to rewrite this slightly. a cosine of kl. OK. So what does this expression say?\nWell, it seems like it's just saying if we fix c to be equal to this value, for fixed value of kappa l and alpha, then there's a solution. However, what is k? What are k and alpha. k and alpha are functions of the energy. So it would seem from this point of view, like for any value of the energy, we get a solution to this equation. Everyone see that?\nBut we know that can't possibly be right because we expect the solutions to be discrete. We don't expect any value of energy to lead to a solution of the energy eigenvalue equation. There should be only discrete set of energies. Yeah?\nAUDIENCE: Did you pick up an extra minus sign in the expression for c?\nPROFESSOR: You do. Thank you. The sign's cancel. Yes, excellent. I've never written this equation in my life. So thank you. Yes, extra minus sign.\nSo what's going on here? Well, what we see is that we've written down the general form of the solution. Here were imposing that we've already imposed the condition that we're normalizable at infinity. Here, we're imposing the continuity condition on the right. And if we impose just the continuity condition for the wave function, we can find a solution.\nSimilarly, if we impose only the continuity condition for the derivative, we can find a solution for arbitrary values of the energy. But in order to find a solution where the wave function and its derivative are both continuous, it can't be true that the energy takes just any value because it would tell you that c takes two different values. Right? So there's a consistency condition.\nFor what values of energy or equivalently, for what values of k and alpha are these two expressions equal to the same thing? Cool? So we can get that by saying, look we want both of these equations to be true. And this is easy. I can take this equation and divide it by this equation. And I will lose my coefficients c. I will lose my coefficients a. What do we get?\nOn the right hand side, we get--\nAnd I'm going to put a minus sign on everything. So minus, minus, minus. So if we take this equation and we divide it by this equation, on the right hand side, we get alpha, because the c exponential drops off. And on this side, we lose the a. We get a k. And then we get sine over cosine of kl, also known as tangent of kl. Here we have a kl. Here we have a k.\nThese are all dimensionful things. Let's multiply everything by an l. And this is nice and dimensionless. Both sides are dimensionless.\nSo we get this condition. This is the consistency condition, such that both the wave function and its derivative can be continuous at the right boundary. OK? And this is a pretty nontrivial condition. It says, given a value of k, you can always determine the value of alpha, such as this equation as true. But remember that k and alpha are both known functions of the energy. So this is really an equation, a complicated, nonlinear equation for the energy.\nSo this is equal to a horrible expression, a condition, badly nonlinear, in fact, transcendental condition on the energy. And where's it coming from? It's coming from normalizability and continuity everywhere. And a useful thing to check, and I invite you to do this on your own, is to check that the boundary conditions at the left wall give the same expression. Yeah.\nAUDIENCE: For our final form of that equation, is there a reason that we prefer to multiply both sides by l than divide both sides by k?\nPROFESSOR: Yeah. And it'll be little more obvious in a second. But here's the reason. So let's divide through by l. This is the form that we got. What are the units? What are the dimensions of this expression?\nk is a wave number, so it has units of 1 upon length. Right? And that's good because that's 1 upon length times the length, and you'd better have something dimensionless inside a tangent. But it seems there are two things to say about this. The first is it seems like l is playing an independent role from k in this equation. But this is dimensionless. These are both dimensionful units of 1 over length.\nSo we can make the entire expression dimensionless and make it clear that k and l don't have an independent life. The dimensionless quantity, kl, times the tangent of that dimensionless quantity is equal to this dimensionless quantity. So the reason that this is preferable is twofold.\nFirst off, it makes it sort of obvious that k and l, you can't vary them independently in this sense. But the second is that it makes it nice and dimensionless. And you'll always, whenever possible, want to put things in dimensionless form.\nI mean it's just multiplying by l. So it's obviously not all that deep. But it's a convenient bit of multiplication by l. Other questions?\nOK. So where are we? So I'd like to find the solutions of this equation. So again, just to--\nLet me write this slightly differently where k squared is equal to 2m upon h bar squared v0 plus e. And alpha squared is equal to 2m upon h bar squared e, the positive value of e. So this is a really complicated expression as a function of e. So I'd like to solve for the actual energy eigenvalues. I want to know what are the energy eigenvalues of the bound states of the finite potential well, as a function of l, for example.\nSadly, I can't solve this equation. It's a transcendental equation. It's a sort of canonically hard problem to solve. You can't write down a closed from expression for it. However, there are a bunch of ways to easily solve it.\nOne is take your convenient nearby laptop. Open up Mathematica, and ask it to numerically find solutions to this. And you can do this. It's a good exercise. I will encourage you to do so on your problem set. And in fact, on the problem set, it asks you to do a calculation. And it encourages you do it using Mathematica.\nLet me rephrase the statement in the problem set. It would be crazy for you to try to do it only by hand. You should do it by hand and on computer because they're both easy. And you can check against each other. They make different things obvious. This should be your default is to also check on Mathematica.\nThe second thing we can do is we can get a qualitative solution of this equation just graphically. And since this is such a useful technique, not just here, but throughout physics to graphically solve transcendental equations, I'm going to walk through it a little bit. So this is going to be the graphical solution. And we can extract, it turns out, an awful lot of the physics of these energy eigenstates and their energies through this graphical technique.\nSo the first thing is I write this in nice, dimensionless form. And let me give those dimensionless variables a name. Let me call kl is equal to z, just define a parameter z. And alpha l is a parameter y. And I want to note that z squared plus y squared is equal to a constant, which is, I will call if you just plug these guys out, kl squared plus al squared. That's easy. Kl squared is this guy times l squared. Al squared is this guy times l squared. And so the e and the minus e cancel when we add them together.\nSo we just get 2mv0 over h bar squared times l squared. So 2m upon h bar squared l squared v0. And I'm going to call this r naught in something of a pathological abusive notation. OK. So this is our expression. And I actually want to call this r0 squared.\nI know. I know. It's awful. But the reason I want to do this is that this is the equation for a circle. Yeah? And a circle has a radius. The thing that goes over here is r squared.\nOK. So at this point, you're thinking like, come on, circle. So let's plot it. So how are we going to solve this equation? Here's what I want to solve. I have now two equations relating z and y.\nWe have that from this equation z tangent z is equal to y. And from this equation we have that z squared plus y squared is a constant r0 squared. Where r0 squared depends on the potential and the width in a very specific way, on the depth of the potential and the width in a very specific way. So we want to find--\n--simultaneously, we want to find simultaneous solutions of these two equations. Yeah? So that's relatively easy. So here's y, and here's z.\nSo this equation has solutions. Any time that y plus z squared is equal to r0 squared, that means any time we have a circle. So solutions for fixed values of r0 lie on circles. Oh, I really should have drawn this under here. Sorry. y and z. So those are the circles.\nNotice that I'm only focusing on y and z, both positive. Why? Not yz, but W-H-Y . Why am I focusing on the variables y and z being positive? Because we started out defining them in terms of k and l, which were both positive, and alpha and l, which were both positive.\nCan we find solutions to this equation that have x and y negative? Sure. But they don't mean anything in terms of our original problem. So to map onto solutions of our original problem, we want to focus on the positive values of y and z. Cool?\nOK. So that's this one. The solutions lie on circles. So given a value of y, you can find a solution of z. But we want to also find a solution of this equation. And this equation is a little more entertaining to plot. Here's y. Here's z. So what does z tangent z do?\nOh, shoot. I want to plot y vertical. Otherwise, it's going to a giant pain. Happily, this plot can be left identical. Let's plot y vertically.\nSo the reason I want to plot y vertically is that this is z tangent z. So first off, what does tangent z look like? Yeah. This is awesome. Yeah, it looks like this. Yes, exactly.\nSo tangent is sine over cosine. Sine is zero, and cosine is one. So it does this, as you go to a value where the argument, let's call the argument z. So if we just plot tangent--\nOK. So when z is equal to pi over 2, then the denominator cosine vanishes, and that diverges. Oops. OK. So here's pi over 2. Here's pi. Whoops. Pi, pi over 2, and here's 3pi over 2, and so on.\nNow, we're only interested in the first quadrant. So I'm just ignore down here. OK. So this is pi over 2. This is pi, 3pi over 2. OK.\nBut this is not what we're interested in. We're not interested in tangent of z. We're interested in z tangent z. And what does z tangent z look like? Well, it's basically the same. Right?\nz tangent z, it has an extra factor of zero here and remains extra small at the beginning. But it still curves off roughly like this. And z is just nice and linear, nice and regular throughout this. So it doesn't change the fact that we have a divergence at pi over 2. And it doesn't change the fact that it vanishes again at pi and becomes positive again. It just changes the shape of the curve.\nAnd in fact, the way it changes the shape of the curve is this becomes a little fatter around the bottom. It's just a little more round. And when we get out to large values of z, it's going to have a more pronounced effect because that slope is, at every example where it crosses z, that slope is getting larger because the coefficient of z is getting larger. OK. So it's just going to get more and more sharp.\nBut anyway, with all that said, here's 0. Here's pi. Here's pi over 2. Here's pi. Here's 3pi over 2.\nThe second plot we want to plot, y is z tangent z. We know how to plot this. Cool? And what we want to find are simultaneous solutions of this, values of y and z, for which this equation is solved and this equation is solved for the same value of y and z. This is a graphical solution. So let's combine them together. And the combined plots look like this. First we have pi over 2. So let's plot the tangents.\nAnd then we have these circles for various values of r. So for a particular value of r, for example, suppose this is the value of r. This is r0. So how many solutions do we have?\nOne. One set of common points where at y and z solve both equations. So we immediately learn something really lovely. What happens to the radius of that circle as I make the well deeper?\nYeah, as I make the well deeper, that means v0 gets larger and larger magnitude, the radius gets larger. So does the circle. So if I make the well deeper, I make this the circle larger.\nWill I still have a solution? Yeah, I'll still have a solution. But check this out. Now, I'll have a new solution.\nAnd you can even see the critical value of the depth and the width of the well. In order to have exactly a new bound state appearing, what must the value of r0 be? Well, it's got to be that value, such that r0 squared is pi. Yeah?\nAnd similarly, let me ask you the following question. As I make the well deeper and deeper and deeper, holding the width, and make it deeper and deeper and deeper, does the number of states increase or decrease? It increases. If you make it deeper and deeper, the radius of that circle is getting bigger and bigger. There are more points where this circle intersects this point.\nSo here's another one. We've got one here, one here, one here, three solutions. And the number of solutions just goes. Every time we click over a new point by increasing the radius of the circle, we get a new solution. We get another bound state.\nBut here's the thing that I really want to focus on. Let's make the well less and less deep. Let's make it shallower and shallower. At what depth do we lose that first bound state?\nWe never do. Right? There is no circle so small that it doesn't intersect this curve. In a 1D, finite well potential, there is always at least one bound state. There are never zero bound states. This will turn out not to be true in three dimensions, which is kind of interesting. But it's true in one dimension that we always have at least one bound state.\nAnd in fact, you can decorate this. You can use this and fancy it up a bit to argue that in any potential in 1D, there's always at least one bound state unless the potential is constant, I mean any potential that varies and goes to zero infinity. Yeah?\nAnd so we still don't have any numbers. But we know an awful lot about the qualitative structure of the set of energy eigenvalues of the spectrum of the energy. Questions? Yeah?\nAUDIENCE: So what happens if r is bigger than pi or y is bigger than pi and you get two solutions?\nPROFESSOR: Great. So when we have two solutions, what does that mean? Well, you've got to bound states, two different energies. Right? It's a good question. Every solution here corresponds to some particular value of y and some particular value of z. But those values of y and z are just telling you what k and alpha are. And so that's determining the energy.\nSo a different value of k is going to give you a different value of the energy. So we can just eyeball this in particular. Let's look at alpha. Alpha is just e. Alpha squared is just e. Yes?\nSo here's a quick question. If alpha is just e, and alpha l is y--\nSo this is our y value. y is roughly alpha, the width, which means it's roughly the energy square root. So this value, the vertical value of each of these intersection points on a given circle corresponds to the square root of the energy times some coefficients. So which state has the largest value of the energy? Absolute value, which state is most deeply bound on this circle?\nYeah, the first one. Right? Because it's got the largest value of alpha. So this is nice. We see that the first state always has a higher value of alpha than the second state, which always has a higher value of alpha than the third state. And every time we add a new state, we make the depth of these guys the binding energy of the already existing states. We make it just a little bit deeper. We make them a little more tightly bound. And only eventually then do we get a new bound state appearing.\nAnd what's the energy of that new bound state when it appears? Zero energy. It's appearing just at threshold. OK. So we'll explore that in more detail in the problem set. But for now, let me leave it at that. Questions? Other questions? Yeah.\nAUDIENCE: You said that this can be generalized to any nonconstant function that you'd like. So there's always going to be at least one bound state. What about, like with delta function?\nPROFESSOR: Excellent question. What about the delta function? We're going to come back to that in just a few minutes. It's a very good question.\nSo the question is, look, if any potential that goes to zero infinity and wiggles inside, if any potential like that in 1D has a bound state, what about the delta function? We briefly talked about that. So we're going to come back to that in just a few minutes. But it's a pressing question. OK. Other questions? Yes.\nAUDIENCE: So the energy is zero, but that's not possible.\nPROFESSOR: Thank you. OK. Good. So let me talk about that in a little more detail. So I wasn't going to go into this, but--\nSo when new bound states appear, so let's consider a point where our r0 is, let's say, it's just the right value so that r0 is equal to pi. OK. And we see that we're just about to develop a new bound state. So let's think about what that bound state looks like. So this is the new bound state.\nAnd I'm going to put this in parentheses because it's got bound state. And we say at threshold. OK. At threshold, i.e. at the energy is roughly zero, and r0 is equal to pi. So this is really what we mean. This new state, when r0 is pi and we have a solution on that second branch. Cool?\nSo what does this wave function look like? What does it look like when you have a wave function that just appeared? It's just barely bound.\nWell, first off, what does it mean to be bound? Let's just step back and remember for now. What does it mean to be a bound state? It means you're an energy eigenfunction and you're localized. Your wave function falls off at infinity.\nNow, if it falls off at infinity, do these guys fall off at infinity? These wave functions, sure, they fall of with an exponential damping. And in particular, let's look at the right hand side of the well.\nThis new bound state is appearing just at zero energy. So out here, what is the wave function? It's e to the minus alpha x. But what's alpha? Zero, right? There it is, zero.\nSo this is e to the minus alpha x where alpha is equal to 0. This is constant. So what does the wave function look like? Well, the wave function, again over the same domain--\nHere's 0, l. And here's the value zero. We know that in this domain it's oscillatory, and in this domain, it's constant. And actually, since we know that it's the first excited state, we know that it does this.\nSo if we make the well ever so slightly deeper, ever so slightly deeper, which means making the radius of the circle ever so slightly larger, we will get a nonzero value for the alpha of this solution. Right? It'll be just tiny. But it'll be nonzero. So we make the well just a little tiny bit deeper. We get something. OK, good.\nSo what's going to happen to the wave function? Well, instead of going flat. This is going to curve. It's got a little more energy. There's a little more curvature. So it curves just a little tiny bit more. And then it matches onto a very gradually decaying exponential.\nOK. So what's happening as we take this bound state, the second bound state, and we make the well a little more shallow? We make the well a little more shallow. It's a little less curved inside. And the evanescent tails, the exponential tails become longer and longer and longer and broader until they go off to infinity, until they're infinitely wide.\nAnd is that normalizable anymore? No, that's not normalizable. So the state really isn't strictly localized at that point. It's not really a normalizable state. And just when the state ceases to be normalizable, it disappears. We make the well just a little deeper, and there's no state there at all.\nOK. So this tells you a very nice thing. It's a good bit of intuition that when states are appearing or disappearing, when states are at threshold as you vary the depth, those threshold bound states have exceedingly long evanescent tails, and they're just barely bound. OK? This turns out to have all sorts of useful consequences, but let me move on. Did that answer your question? Good. Yeah?\nAUDIENCE: So in this case, the radius, as you say, is proportional to the length. Right? But also we have intuition that as we increase the length of the well, the energy's going to keep increasing--\nPROFESSOR: Fantastic. OK. So what's up with that? Right. So the question is this. We already have intuition that is if we take a finite well and we make it a little bit wider, the ground state energy should decrease. The energy of the ground state should get deeper and deeper, or the magnitude should increase, another way to say it. Right? That was our intuition.\nSo let's check if that's true. What happens if I take the ground state some value of the radius, and then I make the well a little bit wider. Well, if I make the well a little bit wider, what happens to r0, the radius of the circle? Well, if I double the length of the well, the width of the well, then it will double r0, and it will double the radius of the circle.\nSo if I make it wider, r0 gets bigger, and we go to a bigger circle. And what happened to the energy of this state? Yeah, it got deeper and deeper and deeper. And meanwhile, as we make it wider, as we make the well wider, the circle is getting bigger again. And we're going to get more and more states.\nSo as we make the well wider, holding the depth fixed, we get more and more states. As we make the well deeper, holding the width fixed, we get more and more states. And so how do you trade off? If I make it twice as wide, how much--\nSo here's a good question. Suppose I take a well, and it has n states. Suppose I then make it twice as wide. What must I do to the energy so that it still has the same states with the same energies?\nAUDIENCE: Divide it by 4.\nPROFESSOR: Yep, exactly. I've got to divide it by 4. Because I've doubled the length, that means the radius has gone up by four. But I get exactly the same solutions if I just bring this out. Well, that's almost true. So if I put a factor of 1/4 here, that's almost true, except for the value of y is unchanged, but the alpha hasn't changed. Sorry. The alpha has changed because there's an l.\nSo y is fixed. But alpha's changed because of the l. So the reason that it's useful to write things in these dimensionless forms is that you can see the play off of the various different dimensionful parameters in changing the answer. Other questions.\nOK. So a couple of comments. So the first is let's just check to make sure that this makes sense. We have already solved this problem. We solved this problem a while ago, but we solved it in a particular limit. We solved it in the limit that the potential one's arbitrarily deep. Right?\nSo when the potential one's are arbitrarily deep, holding the width fixed, that was the infinite well. That was the first problem we solved. So let's make sure that we recover this in that limit.\nSo what happens as we make the well arbitrarily deep, holding the length fixed or the width fixed. So if we make this arbitrarily deep, v0 is getting arbitrarily large. That means r0 is getting--\nWe've got a huge circle. So what do these solutions look like when we have a huge circle. Let me not do that here. Let me do that here.\nSo if we make the potential nice and deep, Let's think about what that plot looks like. So again, that first plot looks identical with the tangents. So on and so forth.\nAnd what I want to do is I want to dot, dot, dot. OK. So this is way up there. So these guys are basically vertical lines at this point. So for very, very large values of y, and in particular, for very large values that are of order the gigantically deep radius r0, what does the circle look like? So what does the second equation look like, the second curve?\nWell, again it's circles. But now it's a gigantic circle. Yeah, exactly. If it's a gigantic circle, it's basically flat. It's not exactly flat, but it's almost flat. It's a circle.\nSo what are the values? And here's the key question. What are the values of--\nDid do that right? Yeah, OK. Good.\nSo what are the values of the curve, where we get a solution? The values now of z, are just exactly on these vertical lines, on the separatrices. The value of z is at pi over 2. and 3pi over 2. And then another one at 5pi over 2, and so on and so forth. Right?\nSo what we find is that the allowed values of z--\nSorry. kl, yes, good.\n--allowed values of z are equal to 2n plus 1 over pi. Whoops 2n plus 1 over 2 times pi. So let's just check that. So n is 0. That's 0 1/2 pi. n is 1. That's 3/2 pi. Good. So these are the values of z, which says that kl is equal to 2n plus 1 upon 2 pi or k is equal to 2n plus 1 over 2l, which is the width of this well because it's from minus l to l pi.\nSo is this the correct answer for the infinite square well? Are these the allowed values of k inside the well for the infinite square well? Almost. Instead of 2n plus 1, it should just be n plus 1. We seem to be missing about half of the energy eigenvalues.\nAUDIENCE: That's only the even ones.\nPROFESSOR: Yeah, thank you. This is only the even ones. We started out saying, oh, look. Let's look only at the even ones. Where do you think the odd ones are going to be? Ah, well the odd ones, so this should be k even.\nSo what about k odd? Well, we know the answer already--\nWhoops. Odd, that's an odd spelling.\n--should be equal to 2n over 2l plus 2 over 2l. Whoops. 2 capital L, pi. OK. This is our guess just from matching on to the infinite square well. So what does that mean? Well, that means it should be this one and this one.\nSo when you go through this exercise on your problem set and you find the solutions for the odd, and you repeat this analysis for the odd ground states. What should you expect? Well, you should expect to find this. And what do you think the curves are that you're going to use int he graphical solution to do your transcendental equation?\nYeah, it's really tempting to say, look. It's just going to be something shifted, like this. OK. So these are going to be the odd question mark, question mark. OK. So you'll check whether that's correct intuition or not on your problem set. OK. Questions? Yeah?\nAUDIENCE: What about the lower end of these states, where it won't have gone off high enough? Is that [INAUDIBLE]?\nPROFESSOR: Excellent. So that's a really good question. How to say it? What we've done here to make this an infinite well--\nSo the question, let me just repeat the question. The question is, look, what about all the other states? OK, it's true that r0 as gigantic. But eventually, we'll go to a large enough z, where it's the circle coming down over here too. So what's up with that? What are those states? Where are they? What do they mean in terms if the infinite square well?\nWell, first off, what are the energies of those states?\nAUDIENCE: Very low.\nPROFESSOR: They're very low in magnitude, which means they're close to what in absolute value?\nPROFESSOR: Zero. They're close to zero. So they're at the top of the finite well. These are the states bound at the top of the finite well. These are the states bound at the bottom the finite well.\nBut how many states are bound at the top of the finite well when we take the limit that the well goes infinitely deep? Yeah, none of them. Right?\nSo when we make the well infinitely deep, what we're saying is, pay no attention to the top of the well. Look only at the bottom of the well. And if it's really deep, it's a pretty good approximation.\nSo that's what we're doing here. We're saying, look. Pay no attention. There is no top of the well. There's just the bottom. And look at the energy eigenvalues. Does that make sense?\nSo what we're saying is if you have a preposterously deep well, the energies of a preposterously deep well should be a good approximation to the low-lying energies of an infinitely deep well. Because it's way up there, what difference can it make? And that's what we're seeing work out. Did that answer your question?\nAUDIENCE: Wait. I might have this backward. But when it says the high energy instead of looking right at the top of the well--\nPROFESSOR: Yeah. OK, good. So this is an important bit of intuition. So when we say this is the energy zero, and the potential has a minimum at minus v0, and we're measuring the energies relative to zero, then the states at the top of the potential well are the states with energy close to zero. And the states at the bottom of the potential well are those states with the energy of order v0. cool?\nAnd what are the energies of all these states? They're order of v0. Right? Because this is--\nAre they exactly v0? No, because this isn't linear. It's actually a circle. So there's going to be a correction, and the correction is going to be quadratic. If you work out that correction, it's correct. The depth above the bottom of the potential is correct for the energy of the corresponding infinite well problem. I'll leave that to you as an exercise. Other questions?\nOK. So there's another limit of this system that's fun to think about. So this was the infinite well limit. What I want to do is I want to take advantage of the observation we made a second ago that as we make the well deeper, we get more states. As we make the well more narrow, we get fewer states.\nTo trade that off, consider the following limit. I want to take a potential well, which has a ground state. What does the ground state look like? So the ground state wave function is going to be--\nSo here's zero. And here's exponentially growing. Here's exponentially decreasing. And if it's a ground state, how many nodes will it have inside? How many nodes will the ground state have?\nPROFESSOR: Zero. Good. OK. So the ground state will look something like this. We more conventionally draw it like this. But just for fun, I'm going to draw it in this fashion.\nIn particular, it has some slope here. And it has some slope here. Oh, shoot. Did I? Yes, I did. Dammit. I just erased the one thing that I wanted to hold onto.\nOK. So there's my wave function. It has some particular slope here. It has some particular slope here. And this is the ground state wave function, with some energy. I don't know. I'll call it this.\nNow, what I want to do is we've already shown that as we make the well more and more shallow and more and more narrow, the energy of the ground state gets closer and closer to zero. But there remains always a bound state. There is always at least one bound state. We proved that. Proved, as a physicist would.\nSo I want to do that. I want to take this seriously. But here's the limit I want to consider. Consider the limit that we make the potential v goes to infinity, v0, while making l go to zero. So what I want to do is I want to take this thing, and I want to make it deeper and deeper, but more and more narrow.\nIf I do this repeatedly, eventually I will get a delta function. And I will get a delta function if I hold the area of this guy fixed. Yeah? So if I do so, holding the area under this plot fixed, I will get a delta function. Everyone cool with that?\nSo let's think, though, quickly about what's going to happen to the ground state wave function. So as I make the potential, let's take this wave function, and let's look at this version of the potential. So as I make the potential deeper, what happens to the rate of the oscillation inside or to the curvature inside? It increases. Right?\nSo the system is oscillating more, it changes more rapidly, because phi double dot or phi double prime is equal to v minus e phi. It oscillates more rapidly. So to make it deeper, the system tends to oscillate more rapidly.\nHowever, as we make it more narrow, the system doesn't have as far to oscillate. So it oscillates more rapidly, but it doesn't oscillate as far. So what's going to happen?\nWell, as we make it more and more narrow and deeper and deeper, we again have the wave function coming in. And now it oscillates very rapidly. Let's do it again.\nThe wave function comes in, and it oscillates very rapidly. And the it evanescent tail out. And now as we have a delta function, exponential damping, it oscillates extremely rapidly over an arbitrarily short distance and gives us the kink that we knew at the very beginning we should expect when the potential is a delta function. Right? From our qualitative structure of the wave function at the very beginning we saw that when we have a delta function potential, we should see a kink in the wave function. Because again, if we have phi prime prime is delta function discontinuous, phi prime is the integral of this. This is a step, and phi is continuous.\nAnd so here we have a step function. We get a discontinuity in the second derivative. Here we have a delta function in the potential, and we get a discontinuity in the first derivative if we get a kink in the wave function. Yeah?\nAUDIENCE: Would we get a jump there?\nPROFESSOR: Sorry. Say again. For e1?\nAUDIENCE: Yeah. Would we get a jump?\nPROFESSOR: Very good question. So let me do this more seriously. Let's do this more carefully. So the question is, for the first excited state, do we get a jump? Do we get a discontinuity? What do we get for the first excited state? Right?\nSo let's talk about that in detail. It's a very good question. Example v is equal to minus v0 delta of x. Now, here I want to just warn you of something. This is totally standard notation for these problems, but you should be careful about dimensions.\nWhat are the dimensions of v0, the parameter of v0? It's tempting to say energy. That's an energy. That's an energy.\nBut wait. What are the dimensions of the delta function?\nPROFESSOR: Whatever length right? Because we know that delta of alpha x is equal to 1 over norm alpha delta of x. So if I write delta of x, which is always a slightly ballsy thing to do because this should really be dimensionless, but if I write delta of x, then this has units of 1 over length, which means this must have units of length times energy.\nOK. Just a little warning, when you check your answers on a problem, you always want to make sure that they're dimensionally consistent. And so it will be important to make sure that you use the energy times the length for the dimensions of that beast.\nSo my question here is, is there a bound state? So for this example, for this potential, the delta function potential bound state, which again is this guy, is there a bound state? So again, we just ran through the intuition where we made the potential deep and deeper and deeper, v0 divided by epsilon over width epsilon. So v0, in order for this to be an energy has to be an energy times a length because we're going to divide it by length.\nSo this is going to give us a delta function potential in the limit. We have an intuition that we should get a bound state with a kink. But let's check that intuition. We want to actually solve this problem.\nSo we'll do the same thing we did before. We now write the general solution in the places where the potential is constant, which is on the left and on the right. And then we want to impose appropriate boundary conditions at the interface and at infinity, where these are going to be normalizable, and this is whatever the right boundary conditions are. So we are going to have to derive the appropriate boundary conditions. So let's just do that quickly.\nSo phi with definite e is equal to a--\nSo in this region in the left, it's either growing or decreasing exponential. So ae to the alpha x plus be to the minus alpha x. And this is x less than 0. And ce to the alpha x plus de to the minus alpha x for x greater than 0.\nSo first off, let's hit normalizability. What must be true for normalizability? Yeah, they'd better be converging to zero here and converging to zero here, which means that c had better vanish and b had better vanish. OK. So those guys are gone from normalizability.\nAnd meanwhile, if this is symmetric, what is going to be true of the ground state? It's going to be symmetric. So a must be equal to d. Great.\nSo a is now just some overall normalization constant, which we can fix from normalization. So it looks like this should be the solution. We have an exponential. We have an exponential.\nBut there's one more boundary condition to fix. We have to satisfy some matching. We have to satisfy the boundary conditions at the delta function. So what are those? What are those matching conditions?\nSo we can get that from the energy eigenvalue equation, which says that phi prime prime is equal to h bar squared upon 2m. Sorry. Get your dimensions right.\nSo it's 2m over h bar squared v minus e. In this case, v is equal to minus v0 delta function. That's very strange. So minus 2m over h bar squared v0 delta of x minus e--\nI pulled out the minus.\n--so plus e phi. So this must be true at every point. This of course, is zero everywhere, except for at the origin. So what we want to do is we want to turn this into a boundary condition. And we know what the boundary condition is.\nIf v is a delta function, that means that phi prime prime is also a delta function or proportional to a delta function. That means that phi prime is a step function. And how did I get that? I got that by integrating phi prime prime. You integrate a delta function, you get a step function.\nWell, that's cool. How do we figure out what step function discontinuity gives us? Let's integrate. Let's integrate right across the delta function and figure out what the discontinuity is. So let's take this equation, integrate it from minus epsilon to epsilon, where epsilon is a very small number. And that's epsilon to epsilon.\nSo what is this going to give us on the left? Well, integral of a total derivative is just the value of the thing at a value to the point. So this is going to be phi prime at epsilon minus phi prime and minus epsilon. What does that mean?\nThe difference between the derivative just after the origin and just before the origin. This is the discontinuity for very small epsilon. This is the discontinuity of the derivative at the origin at the delta function. And we already expected it to have a step discontinuity. And there it is.\nAnd how big is it? Well on the right hand side we have 2m minus 2m upon h bar squared. And we're going to get two terms. We get a term from integrating the first term. But over this narrow window, around, let's say epsilon was here, over this narrow window we can treat the wave function as being more or less constant.\nBut in any case, it's continuous. And this is a delta function. So we know what we get from the integral of the delta function. We just get the value v0 phi at the delta function. Phi of the zero at the delta functions, so phi 0.\nWe get a second term, which is plus the energy integrated against phi. The energy's a constant. And phi is continuous. So this, whatever else you can say about it, is roughly the constant value of phi at the origin times the energy times the width, which is epsilon. So plus-order epsilon terms. Everyone cool with that?\nSo now what I'm going to do is I'm going to take the limit as epsilon goes to zero. So I'm just going to take that the discontinuity just across zero. So this is going to give me, of this gives me the change in the slope at the origin. OK. The derivative just after the origin minus the derivative just before the origin is equal to--\nThese order epsilon terms go away.\n--minus 2m upon h bar squared v0 phi. So that's my continuity. That's the condition for continuity of the derivative and appropriate discontinuity of the first derivative at the origin. And so this, when we plug-in these values of this form for the wave function, when we take a derivative, all we're going to do is we're going to pick up an alpha.\nAnd so when we work all of this out--\nI'm not going to go through the algebra. You're going to go through it on the problem set.\n--when we take this condition, when we impose this condition with this wave function, it gives us a very specific value for alpha. This is only solvable if alpha is equal to mv0 upon h bar squared. Good. So let's just check the units.\nSo this is momentum times length, momentum times length. This is mass. This is an energy times a length. So this has overall units of, p squared over m, overall units of 1 upon length, which is what we wan. So that's good.\nSo we get alpha is equal to mv0 upon h bar. And that gives us the form of the potential. And it also tells us that the energy, plugging this back in, is equal to minus h bar squared alpha squared upon 2m, which we could then plug-in the value of alpha and solve for v0.\nSo what we found is that there is a single bound state of the delta function potential, which we could have gotten by just taking this limit. It's a fun way to rederive the same result. It's a nice check on your understanding. So we find that there's a single bound state of the delta function potential.\nNow, what about an odd bound state? We assumed at an important point that this was even. What if I assume that it was odd? One node, what if we had assumed that it was odd? What would be true of the wave function?\nWell for odd, this would be a, and this would be minus a. So the value of the wave function at the origin is what? Zero. So that tells us the value of the wave function is zero.\nWhat's the discontinuity? Zero. So it's as if there's no potential because it has a zero right at the delta function. Yeah? But that means that this wave function, an odd wave function, doesn't notice the delta function potential. So is there a bound state? No.\nSo how many bound states are there? Always exactly one for the single isolated delta function. On your problem set, you're going to use the result of the single isolated delta function, and more broadly you're going to derive the results for two delta functions.\nSo you might say, why two delta functions? And the answer is, the two delta function problem, which involves no math--\nRight? It's a totally straightforward, simple problem. You can all do it right now on a piece of paper. The two delta function problem is going to turn out to be an awesome model for the binding of atoms. And we're going to use it as intuition on your problem set to explain how quantum mechanical effects can lead to an attractive force between two atoms. See you next time.", "label": "Yes"} {"text": "The ebook contains hundreds of formulas, tables, and figures from. 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Maths is an established crucial subject for every student. Candidates those who are all preparing for ssc mains and all other competitive examination can use this material. Trigonometry formulas righttriangle definitions, reduction formulas, identities, sum and difference formulas, double angle and half angle formulas, law of sines and cosines, area of triangle.\nWe will soon also provide the pdf of maths formulas for class 5, 6, 7, 8, 9, 10, 11, and. Advanced mathematics can only be learnt with the solid foundation of class 10 maths formulas. If you are a student of class 10th and is striving hard to cope with the subject of math s, learn all the formulas and understand the meaning of each one. It will provide you the complete nda syllabus for mathematics and exact exam pattern with the importance of every topic in the exam. List of formulas useful for solving aptitude questions.\nThe most popular formulas this is a list of formulas which have most downloads. Maths formulas pdf enables students to complete the syllabus in a unique dolearndo. If you are looking for a formula to solve your basic math problems, your formula is likely here. Free basic mathematics books download ebooks online textbooks.\nDifferentiation formulae math formulas mathematics formulas basic math formulas. Jun 30, 2019 trigonometry is quite a interesting subject. Vedantu provides 10th standard maths formulas for free download in the pdf format. Maths formulas allow students for handson practice and assist them to score high both in class exam and board exam. Well, it can be as simple as a basic addition formula or complicated as an integration or differentiation. This video talks about complete basic formulas of chapter algebra. Maths is a most difficult subject for some students because solving mathematical problems acquires lots of knowledge and formulas. Maths formula pdf important maths formula pdf for class 12,11.\nJun 29, 2019 mathematics formula book pdf download. Math formulas download maths formulas pdf basic math. Contact us, in case the links dont work in this article on cbse class 10 maths formulas pdf. All of these formulas for solving aptitude questions are really helpful for us. Formulas that are in the form of equation show you how to work something out and let you do what exactly you need to solve a particular problem.987 373 864 789 1371 649 472 1235 653 383 1060 988 42 767 546 1200 1414 345 1356 1128 193 983 988 88 147 143 1451 562 450 1020 1487 1127 762 1038 1399 535 249 983", "label": "Yes"} {"text": "A pie chart is used to show frequency within groups. Histograms are often used in stats to demonstrate how many of a particular sort of variable happens within a particular selection. A pie chart is the most often utilized chart to demonstrate frequency circulations. A pie chart is similar to a vertical bar chart. A histogram is comparable to a bar chart. The histogram gives a graphical review of the form of the information’s circulation. Broadly speaking, you currently have a histogram for your input information, although it definitely requires a couple of improvements.\nSource : www.wigglestatic.com\nAt first, histograms look quite like bar graphs. Although they are comprised of bars, they are not bar charts. The 2 histograms are attracted precisely the very same window. A nonsymmetric histogram is referred to as skewedif it’s not symmetric.\nKona Kahuna 2015 review\nSource : www.thebikelist.co.uk\nThe histogram is a popular graphing tool. Pie charts provide a visual interpretation of mathematical information by indicating the amount of information points that lie within a variety of values. Establishing a pie chart is a vital portion of doing a statistical analysis for the factor that it provides a visual representation of information. A pie chart is a normal information analysis tool in the market world. The ranged histogram can be considered an innovative variation of the histogram chart that enables users to work with a non-numeric x-axis on the chart.\nSource : www.retrobike.co.uk\nFor you to know, there is another 37 Similar photos of kona mountain bike size chart that Unique McGlynn uploaded you can see below :\nThis Kona Kahuna 2015 review uploaded by Unique McGlynn from public domain that can find it from google or other search engine and it’s posted under topic kona mountain bike size chart. If you have any complain about this image, make sure to contact us from the contact page and bring your proof about your copyright image. All trademarks referenced here in are properties of their respective owners and most of the sources material is posted on this website after the “Fair use” doctrine of copyright released for non-commercial News reporting, education and discussion purposes. We will comply with all takedown requests.", "label": "Yes"} {"text": "how much difference is reasonable to expect between a sample mean and the population mean c. You must know the population variance (or standard deviation) for the z-score but not for the t statistic. On average, what value is expected for the t statistic What is the standard error of the mean (to 2 decimals)? Course Hero is not sponsored or endorsed by any college or university. http://maxspywareremover.com/what-is/what-is-the-standard-error-of-measurement-for-the-sat.php\nThe mean score is 88 with a standard deviation of five (5). Course Hero, Inc. If a sample of n = 4 ... Wallnau is Professor Emeritus of Psychology at the State University of New York College at Brockport.\nYour microphone is muted For help fixing this issue, see this FAQ. At 95% confidence, what is the margin of error (to 2 decimals)? October 17, 2014 by ivan Satistics Monthly incomes of employees at a particular company have a mean of $5954. What term is being described: Choose from these answers: (A)Central Limit Theorem (B)Normal distribution (C)Standard Error (D)Z-score (E)Transformation rules 1) If you keep taking more and more samples, the average...\nQuestion Part Points 1 –/1 Total –/1 ... Please try the request again. Firm A's inventory contains 2000 items, firm B's inventory contains 5000 items, and firm C's inventory contains 10,000 items. Which Of The Following Research Situations Is Most Likely To Use An Independent-measures Design? The sample size is large C.\nFebruary 1, 2013 by Tracy Stats A sample of n-25 students is selected from a population with mu =100 with standard deviation of 20. In A Hypothesis Test Using A T Statistic, What Is The Influence Of A Large Sample Variance? Math, Psychology Can anyone tell me what should be the answer to this question? What is the estimated standard error for the independent-measure t statistic for the following two samples? https://answers.yahoo.com/question/index?qid=20120317083043AAxNllW To simplify the arithmetic, the student first subtracted 80 points from each score to obtain a new sample consisting of 1, 7, 9, 6, and 7.\nStar this term You can study starred terms together Voice Recording HelpSign upHelp CenterMobileStudentsTeachersAboutCompanyPressJobsPrivacyTermsFollow usLanguageDeutschEnglish (UK)English (USA)Español中文 (简体)中文 (繁體)日本語© 2016 Quizlet Inc. ⌂HomeMailNewsFinanceSportCelebrityLifestyleMoviesWeatherFlickrMobileMore⋁AnswersGamesMessengerCarsTechTravel Yahoo Singapore Answers 👤 Sign Which Of The Following Terms Is Not Required When Using The T Statistic? compute the estimated standard error for M. January 23, 2013 by Jackie Math Q1. The sample mean is 99 and the standard deviation is 6.\nQuizlet is open to all ages but requires all users to provide their real date of birth to comply with local laws. click site Yes No a-2. The snakes have a mean length of 25 cm with a ... In 2006, a sample of 400 students taking the GRE, whose family income was between $70,000 and $80,000, had a quantitative GRE score of 511. Which Set Of Sample Characteristics Is Most Likely To Produce A Significant T Statistic?\nin symbols, what ... Please upload a file larger than 100 x 100 pixels We are experiencing some problems, please try again. The sample mean is 101.0. news July 22, 2015 by Lizzy statistics You want to determine if your widgets from machine 1 are the same as machine 2.\nThe mean ... The Null Hypothesis For The Independent-measures T Test States A sample of 47 observations is selected from a second population with a population standard deviation of 4.0. What will be the ...\nMay 9, 2014 by Mia Statistics/check answer If a population has a standard deviation σ of 18.2 units, what is the standard error of the mean if samples of size 25 October 20, 2009 by aaron need urgent help statistics Scores on a national writing exam are approximately normally distributed, with a mean of 490 and a standard deviation of 20. Ask a Question 890,990,898 Flashcards Browse existing sets or create your own using our digital flashcard system. If Other Factors Are Held Constant What Is The Effect Of Increasing The Sample Size Assume that the variable is normally distributed. 1.\nWhich type of the following sample characteristics is most Needed help with these questions I needed help with these questions. They claimed that the mean IQ score of new hires, , from this year is greater than or equal to the mean IQ score of new hires, , from last year. Statistics. More about the author There is a statistically significant mean difference between the two populations being compared.\nJanuary 23, 2014 by Andrew math 1. shape mean= standard ... a. what could be the intersection ?\nCan you help me with Mathematics? The sample mean is 99.3. Gravetter,Larry B. What term is being described?\nAs an example, consider an experiment that measures the speed of sound in a material along the three directions (along x, y and z coordinates). You can only upload videos smaller than 600MB. n 25 scores February 1, 2013 by Cookie statistic A random sample of size n = 72 is taken from a finite population of size N = 644 with mean In general, what is the standard score a measure of?\nQuestion: What is measured by the estimated standard error, ... This article is a part of the guide: Select from one of the other courses available: Scientific Method Research Design Research Basics Experimental Research Sampling Validity and Reliability Write a Paper The only way to answer this is to look at the standardization sample, find out what the mean score in the sample was, let's say 15, and standard deviation in the Question Part Points 1 –/1 Total –/1 ...\nMarch 28, 2011 by liam Statistics For a population with a mean of (mew) = 50 and a standard deviation of 10, how much error, on average, would you expect between April 21, 2014 by Vanessa QNT A sample of 100 students participate in a final exam. Heights of people the same sex and similiar ages are close to normal. to be compared to people of the same group is what type of design experiment? 2.\nYou can only upload a photo or video. Browse Flashcards This is just a preview. Machine 2 has a sample mean of 8 and a population standard deviation of 2 with a sample size of 4. ... the position of the sample mean relative to the critical region the actual distance between M and μ whether or Not there is a significant difference between M and μ the", "label": "Yes"} {"text": "Founded in 1989, PROMYS is an intensive summer program where strongly motivated high school students explore the creative world of mathematics. Each summer, a vibrant mathematical community of students, undergraduate counselors, and research mathematicians gathers on the campus of Boston University for six weeks of rigorous mathematical activity.\nPROMYS for Teachers\nFor three decades, PROMYS for Teachers has been a leader in teacher development in secondary mathematics education. Participants can earn free college credit and a stipend.\nPROMYS Pathways enables mathematically enthusiastic students from low-income backgrounds and those underrepresented in STEM to experience the joy of doing mathematics with like-minded peers.", "label": "Yes"} {"text": "Monitor your child's math homework do your child's math assignments only call for rote work or does the teacher include a creative “problem of the week” that tests students' understanding of mathematical concepts ask your child's teacher which techniques he uses to help students become more comfortable with math. Yes, math is different today back when i was in school, the focus was on rote memorization today's kids learn differently laurie bartels, a veteran elementary school teacher who has spent almost 20 years teaching classrooms of children how to multiply, notes that “old math was all about knowing the right. By robyn latorre “math sucks” “why are we learning physics we are only freshmen” “this is too hard my sister never even had physics and she graduated and is at college” students' words of despair fill my september, as my freshmen get back into the groove of school and begin learning the routine. Structure teaching of mathematical concepts and skills around problems to be solved (checkly 1997 wood & sellars, 1996 demonstrating acceptance of students' divergent ideas the teacher challenges students to such connections help students develop an understanding of the academic vocabulary required to. Although science for all americans emphasizes what students should learn, it also recognizes that how science is taught is equally important in planning many of those principles apply to learning and teaching in general, but clearly some are especially important in science, mathematics, and technology education. Helping your child learn mathematics is part of the president's efforts to provide parents with the latest research and practical information that can help them both to support children's learning at home and to understand what they should expect from their children's schools this booklet includes a range of activities for.\nAs classroom teachers, we must overcome this attitudinal acceptance of not being successful at math before we can create numerically literate students we must learn to teach in ways that make mathematics accessible to every child and build our students' confidence in their capacity to master the. Far more kids will learn math and enjoy it if they have great teachers and yet we continue to accept low math standards for elementary school teachers according to the it's hard to teach something you don't understand, and to help your students feel comfortable with the material inspired students. The dfe commissioned cfe research (cfe) in partnership with the university of nottingham, birmingham city university and edge hill university to undertake research to build a better understanding of, and document, approaches and strategies to effectively plan and deliver post-16 mathematics and english provision,.\nProven teaching methods that can be followed to ensure that students holistically understand math. Furthermore, our new era of educational accountability perpetuates this fallacy and clouds the message we want our students to receive in math class focusing on the process of math helps both low achieving and high achieving students learn true mathematical logic and not get discouraged because. Ewart newton of jump math, a social enterprise working with the british council as part of an international work-study exchange programme, makes some suggestions for the maths classroom teachers often face many obstacles in the classroom: a wide range in abilities, lack of support or resources, large. Those forms of work promote better understanding of theme because they go “ through the student”, they are not pressed from outside the research shows that technologies make learning environment alive and more attractive we show the preferences of ict methods in teaching math as well as show examples how.\nHelp students better understand math by presenting multiple examples, encouraging collaboration on alternative solutions, and framing the class with a clear agenda and effective summary. Developing the language of mathematics is an essential aspect of teaching mathematics to young children this process continues throughout an individual's mathematics education because the understanding of mathematical vocabulary affords access to concepts, mathematical instruction in the areas of.\nManipulatives are awesome, but math students need to learn to visualize what numbers mean in their heads as well here are some strategies to help. We've made this handy guide for parents with mini-videos explaining how children's maths skills develop and suggesting fun activities you can build into your time songs and rhymes are great for helping young children learn to count eg: “1, 2, 3, 4, 5 once i caught a fish alive” (for counting up) and “there were 10 green.\nDeveloped in 2009, littlecounters workshops focus on introducing the importance of early mathematics education at the height of a child's readiness to learn the workshops help parents, caregivers, and educators of children ages 1 –4 find ways to integrate counting principles and other mathematical concepts through.\nThe “new math” curriculum is great — and nearly guaranteed to drive children and their parents understandably insane, because teachers don't know how to teach it yet here's what to do to help your child while they learn. They are essential to helping children reach their full potential kids will gain skills through the help of dedicated teachers trained in better teaching practices and they'll also learn math outside of school hours through community activities like annual math days, and by pairing up with numeracy boost buddies to help. Aside from mothers and fathers attending class (a prospect no student would ever wish for), how can they prepare to help their kids watch and learn: here's how kids learn math today accepting or rejecting the statistics in the news will force them to use justification language as well tip 3: why. We are all math people 5) we are all math people – research has shown how having a growth mindset (understanding that everyone has the ability to learn and succeed) actually improves a student's achievement parents can use the simple strategies outlined to help foster a growth mindset in their children.", "label": "Yes"} {"text": "Chihao Zhang, Assistant Professor (tenure-track)\nJohn Hopcroft Center for Computer Science\nShanghai Jiao Tong University\nThe course mainly develops and applies probability theory to random events evolving over time. The tools developed in the course have been widely used in many disciplines, including physics, computer science, and finance. In particular, the use of stochastic processes is indispensable in the fields of artificial intelligence, machine learning and data science. In this course, we will systematically learn the basics of stochastic processes, including Markov chains, Poisson processes, Renewal processes, Martingales and Brownian motion. We will demonstrate how to use these probabilistic models to model real-world problems by studying many examples, with emphasis on applications in data science. The main focus of the course is to explain how to apply probabilistic tools to rigorously analyze these models.", "label": "Yes"} {"text": "Generally, a slot machine is a machine that allows you to win cash or credits by spinning the reels. It can also be a game that features interactive elements and bonus rounds. If you are looking for a slot to play, you can find a variety of games at online casinos.\nMost slot games have a specific theme, and symbols will usually be associated with that theme. Classic symbols may include fruits, bells, and stylized lucky sevens. Some may even include advanced bonus rounds. In addition, some games feature high-payout rates. You can play slot games online for free or for real money. You can also practice in demo mode. The pay tables will usually be listed above or below the wheels. You can also find these on the machine face.\nUsually, the payout table will tell you how much you can win for each symbol that lines up on a pay line. You will also find other statistics related to the game. For example, the payout percentage is one of the most important statistics. The payout percentage is the probability that you will win the largest amount. This is important because you will want to bet as much as you can on a slot to increase your chances of winning.\nThe manufacturer of the slot machine will program the machine to assign different probabilities to different symbols. For example, if you are playing a machine with five reels, the symbols on each of those reels have a different probability of appearing. If the machine is programmed to assign the same probability to all of the symbols, the machine will have a high probability of paying out the maximum amount. However, this would be a very high risk. If the machine could pay out the maximum amount, you would not be likely to win. This is because the chances of losing all of the symbols would be disproportionate to the frequency with which they appear on the physical reels.\nIn addition to a great variety of slot games, you can also find a lot of interesting graphics and sound effects. These games are available in HTML5 format, so you can play them on your desktop, mobile phone, or tablet. If you are looking for a slot that features fast spins, you should try Pragmatic Play. They offer a variety of slot games that are incredibly popular.\nA slot machine is usually activated by pressing a button, and it will spin the reels to reveal symbols. If you are lucky, you will be able to win cash or credits. You can also find slot games that feature bonus features and advanced bonus rounds. In addition, some offer increased payout rates based on how much you bet. You can also find games that feature high-payout rates, and they are often aligned with the theme of the game.\nA three-reel slot machine has about 1,000 possible combinations. A four-reel machine has about 5,000. A five-reel machine has about 10,000. You can also find slot machines that feature nine, fifteen, or as many as 1024 paylines.", "label": "No"} {"text": "Inserting a title into a table, if it is a duplicate, I need to number it, such as Title Title 2 Title 3, etc. I thought I could just compare the new title with those in the table by getting the length, then doing something like\n\"SELECT field FROM tablename WHERE LEFT(field,\".$Length.\") = '$NewTitle'\"\nthen just count the rows and increment to create the new title and store it. Guess that's not legal. Can't seem to find a simple solution. The entries come through an API, so I can't easily ask users to rename a title if it conflicts.\nI came up with this, which doesn't work, but I really don't understand why.\nEven if this DID work, it would still pose a problem, as, if you have the title \"This Title\", and you send another title called \"This\", since you are using the Title string length, you would find everything that starts with the name \"This\", so it might be your first entry, but gets saved as \"This 250\".\n$NameLength = strlen($DocName);\nSELECT DocName, count(DocName) FROM Pickup GROUP BY DocName HAVING LEFT(DocName,'$NameLength') = '$DocName'\";\nSo, if I have three titles, \"Title\"; \"Title 2\"; \"Title 3\", I thought I could then do\n$D = mysql_fetch_array($Result);\n$RCount = ($D[count(DocName)]) + 1;\n$NewTitle = $DocName.' '.$RCount;", "label": "No"} {"text": "In the next few days, it's mostly sunny. A raincoat is needless this day. It's getting colder: From 0 degrees on Saturday the daily highs drop to -6 degrees on Sunday.\n|Th Oct 27||Fr Oct 28||Sa Oct 29||Su Oct 30|\n|Nearby Forecast Locations - Xi Ujimqin Qi||Distance|", "label": "No"} {"text": "No more than 24 on any single day.\nAbout 4 to 5 hours a day every day.\nIt is reported that over 72 hours of video are uploaded on YouTube every minute, but that is not the same as 4 billion hours of actual video watched a month. With the 72 hours of video uploaded multiplying it by each day would be a total of 1,440 hours a day totaling to 43,200 hours of video uploaded in a 30 day period.\nhow many hours do u work a day\n5-6 hours every day\n21 hours every week\nMany women worked 8 or more hours every day.\nOn average a televison set gets about 4.7 hours of use per day", "label": "No"} {"text": "No, but is your problem getting the initial link to the video wall, or getting a timestamped link to the video wall?\nDepending on how many video walls you have....the video wall links take the same \"timestamp\" parameter as an individual camera, so you could manually create your own list of links to your video walls and then generate timestamped links programmatically by just adding the timestamps as follows\nThe API gives an example of linking to a camera as such\nwhich is basically the URL of the camera + \"?timestamp=