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http://www.slideserve.com/cwen/solubility
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math
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Solubility. A Physical Property. A Definition of solubility:. A measure of how much solute can dissolve in a solvent at a given temperature . What is a solvent ? A substance that dissolves another substance. Example: Water What is a solute ?
A Physical Property
Solubility is the maximum amount of solute that can be dissolve in 100g of solvent at a given temperature
What is the solubility of sugar in water at 25.0C if 28.0 g of sugar can be dissolved in 250 ml of water?
(mass of 1ml of water is 1g)
Amount of sugar in 1g of water
= 28.0 g / 250 ml = 0.112 g/ml
Amount of sugar in 100g of water
= 0.112 g/ml x 100 ml = 11.2g
Solubility of sugar in water at 25C is 11.2g per 100g of water
The solubility of salt in oil at room temperature is 25.0 g/100 ml. How much salt can be dissolved in 200 goil at room temperature? (density of oil is 0.9g/cm3)
Volume of 200 g oil
= 200 g x 1 cm3 /0.9g
= 222 cm3 = 222 ml
= 25.0 g/100 ml x 222 ml
= 55.6g NaCl
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s3://commoncrawl/crawl-data/CC-MAIN-2017-34/segments/1502886112682.87/warc/CC-MAIN-20170822201124-20170822221124-00490.warc.gz
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CC-MAIN-2017-34
| 950 | 16 |
https://science.hkust.edu.hk/academic_units/mathematics
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math
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Excellence in research and a commitment to deliver effective and quality teaching programs, are the two pillars on which the Department of Mathematics is based.
This commitment applies equally to the department's two overlapping groups: one interested in pure and applied mathematics, and the other in mathematical sciences and applications. The faculty in the first group are mathematicians. They are mainly interested on mathematical merits. Whereas the faculty in the second group are mathematical scientists, engineers or statisticians. They are mainly interested in the scientific content of the subject matter they are investigating. The two groups interact and complement each other's strength and knowledge.
- Algebra and Number Theory
- Geometry and Topology
- Analysis and Differential Equations
- Applied and Computational Mathematics
- Probability and Statistics
- Financial Mathematics
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s3://commoncrawl/crawl-data/CC-MAIN-2024-10/segments/1707947476397.24/warc/CC-MAIN-20240303174631-20240303204631-00565.warc.gz
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CC-MAIN-2024-10
| 898 | 8 |
https://laciterne.org/file-ready/automotive-electrical-symbols
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math
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Electrical symbols its important to know the different electrical symbols used in automotive diagrams the image in the question is the symbol for a variable resistor ntc negative temperature coefficient sensors are variable resistors used as inputs for the engine transmission and air conditioning control modules. Automotive wiring basic symbols common symbols for automotive diagrams automotive electrical diagrams provide symbols that represent circuit component functions for example a few basic symbols common to electrical schematics are shown as 1 switch 2 battery 3 resistor and 4 ground. We use car schematic electrical symbols to identify both components and how a system operates we use automotive schematics as a road map to take us to a repaired car as you read through this page you can refer to the image on the right as a basic automotive circuit in this sites automotive electrical section youll find two kinds of articles . Electrical symbols electronic symbols electrical symbols and electronic circuit symbols are used for drawing schematic diagram the symbols represent electrical and electronic components table of electrical symbols. These are some common electrical symbols used in automotive wire diagrams electrical symbols or electronic circuits are virtually represented by circuit diagrams there are some standard symbols to represent the components in a circuits artistic poster of various electronic symbols hoping to drum up enough interest to sell this
How it works:
1. Register a Free 1 month Trial Account.
2. Download as many books as you like ( Personal use )
3. No Commitment. Cancel anytime.
4. Join Over 100.000 Happy Readers.
5. That's it. What you waiting for? Sign Up and Get Your Books.
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s3://commoncrawl/crawl-data/CC-MAIN-2019-26/segments/1560628000044.37/warc/CC-MAIN-20190626013357-20190626035357-00445.warc.gz
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CC-MAIN-2019-26
| 1,730 | 7 |
https://en.oxforddictionaries.com/definition/bijection
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math
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One of the mysteries of the English language finally explained.
A mapping that is both one-to-one (an injection) and onto (a surjection), i.e. a function which relates each member of a set S (the domain) to a separate and distinct member of another set T (the range), where each member in T also has a corresponding member in S.
- ‘In fact, it is easy to see that this bijection provides a conjugacy.’
- ‘Often in combinatorics when an identity establishes the equality to two sets defined in different ways, one desires a bijection, namely, a one-to-one correspondence that converts members of one set to the other in a natural fashion.’
- ‘Rabh's proof defines a bijection between a disk and a triangle.’
- ‘Cantor had shown that there is a bijection between the interval [0,1] and the unit square but, shortly after, Netto had proved that such a bijection cannot be continuous.’
In this article we explore how to impress employers with a spot-on CV.
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s3://commoncrawl/crawl-data/CC-MAIN-2018-17/segments/1524125948126.97/warc/CC-MAIN-20180426105552-20180426125552-00488.warc.gz
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CC-MAIN-2018-17
| 968 | 7 |
http://perplexus.info/show.php?pid=11728&cid=61009
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math
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As we all know, human hair grows at a rate of 0.35 mm per day.
On December 31, 2018 Darren, Karen, and Sharon all shaved their heads. Furthermore, whenever Darren’s hair grew to
17mm he shaved it again. Karen did the same thing after her hair reached 20mm, and Sharon did likewise when hers was
One day in 2019, Aaron goes to visit Darren, Karen, and Sharon. He finds that Darren is clean shaven, Karen’s hair is
19mm long, and Sharon’s hair is 14mm long.
What is the date of Aaron’s visit?
The program below finds that the answer is December 6, the 340th day of the year, assuming that:
1. Darren, Karen and Sharon all shaved their heads at the same time on December 31, 2018.
2. They each shaved their respective heads at the exact time of day the respective length was achieved, even if this were in the middle of the night. This is the major sticking point; if they waited to check their hair length at, say, the same time as their original shave and did another shave then if the length first met or exceeded the cutoff, there would be no solution.
3. Hair growth is constant during the day.
4. Aaron's visit was at the same time of day as D, K and S's original shaving.
The fact that we get an answer seems to verify these extra facts were in fact the case.
molen = Array(0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31)
mo = 1
DoM = 0
For da = 1 To 365
DoM = DoM + 1
If DoM > molen(mo) Then
DoM = DoM - molen(mo)
mo = mo + 1
d = d + 35: k = k + 35: s = s + 35
If d >= 1700 Then d = d - 1700
If k >= 2000 Then k = k - 2000
If s >= 2100 Then s = s - 2100
If d = 0 And k = 1900 And s = 1400 Then
Text1.Text = Text1.Text & da & Str(mo) & Str(DoM) & crlf
Posted by Charlie
on 2019-05-08 17:22:51
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s3://commoncrawl/crawl-data/CC-MAIN-2020-34/segments/1596439738723.55/warc/CC-MAIN-20200810235513-20200811025513-00344.warc.gz
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CC-MAIN-2020-34
| 1,707 | 28 |
http://www.linksysinfo.org/index.php?threads/max-bandwith-confusion.24580/
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math
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Ok, so the number I got was 1653.3 and when I grabbed 90% of it and I got 1503 which is what I put in the slot. Is that right? The reason I'm a little confused is because the kbits part under "qos basic settings"- is that kilobits or kilobytes? Do have have to convert the 1503 to kilobits and then put it into the max bandwith section or does that number sound right? I have optimum online; dunno if that matters. Please advise and thanks.
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s3://commoncrawl/crawl-data/CC-MAIN-2018-43/segments/1539583512395.23/warc/CC-MAIN-20181019103957-20181019125457-00300.warc.gz
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CC-MAIN-2018-43
| 440 | 1 |
https://www.ibm.com/eg-en/analytics/cplex-optimizer
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math
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Model business issues mathematically and solve them with powerful algorithms from IBM® CPLEX® Optimizer, which can produce precise and logical decisions. The mathematical programming technology of CPLEX Optimizer enables decision optimization for improving efficiency, reducing costs and increasing profitability.
CPLEX Optimizer provides flexible, high-performance mathematical programming solvers for linear programming, mixed integer programming, quadratic programming and quadratically constrained programming problems. These solvers include a distributed parallel algorithm for mixed integer programming to leverage multiple computers to solve difficult problems.
Make better decisions by finding the best solution for your planning, resource allocation problems using CPLEX Optimizer.
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s3://commoncrawl/crawl-data/CC-MAIN-2022-49/segments/1669446710900.9/warc/CC-MAIN-20221202082526-20221202112526-00199.warc.gz
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CC-MAIN-2022-49
| 792 | 3 |
https://www.bumara.ir/article_244127.html
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math
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استادیار گروه مهندسی صنایع، گروه مهندسی صنایع، دانشکده مهندسی، دانشگاه خیام، مشهد، ایران
عنوان مقاله [English]
Decision-making is one of the most important tasks of managers, which is sometimes taken by majority vote. This method is also done at the national level and some choices are made based on it. But to enter into this decision, a condition based on making the right decision has not been calculated. The purpose of this study is to calculate a specific condition for participating in decision-making based on the majority of votes. Which allows those whose presence increases the likelihood of making the right decision. To obtain this condition, we considered n-member communities and calculated the probability of a participatory correct decision for different values of the probability of the right decision of the members of the community (p). Simulation and solution with MATLAB showed that if the probability of making the right decision by each person is 50%, in making a decision with a majority of votes, 50% of the right decision is made. If the probability of making the right decision in each person is less than 50%, with the increase of decision makers, the probability of making the right decision tends to zero. As P decreases, this occurs in a smaller population. If the probability of each person in making the right decision is more than 50%, with increasing population, the probability of making the right decision tends to 100%, and with increasing P in the less population it happens. Therefore, before making a decision based on a majority of votes, the possibility of the right decision of the participants should be considered. Only if the probability of making the right decision by each person is more than 50%, their participation will increase the probability of making the right decision in majority of vote, which can be considered as a borderline for being expert.
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s3://commoncrawl/crawl-data/CC-MAIN-2023-23/segments/1685224653764.55/warc/CC-MAIN-20230607111017-20230607141017-00407.warc.gz
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CC-MAIN-2023-23
| 1,991 | 3 |
https://agmablog.wordpress.com/2018/01/05/my-initial-take-on-ill-posedness-of-leray-solutions-for-the-ipodissipative-navier-stokes-equations/
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math
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Last year, 2017 (Happy New Year! Holla!) a friend of mine pointed out this relatively new results on archive using convex integration.
Where these talented mathematicians show an early result on the failure of highly touted Leray solutions for a variant of the navier-stokes problem.
I wrote my friend back a disgustingly long “hot take” of the paper after a quick skim. I wanted to share what I wrote here for future reference. Please pardon, my lackadaisical deference. I genuinely have a great respect for all these researchers, but when I write fast e-mails this doesn’t always come across.
P.S. If you’re interested in more reading on the basics of Convex Integration please check out this other page I threw together with some references: Convex Integration
Cool find! I didn’t see this, so thanks for sharing it!
I haven’t read it in detail, but from skimming it, I have some initial thoughts.
It’s definitely convex integration and the second author, Camillo DeLellis, is one of the original people to use convex integration for fluids and lately he’s been doing a lot of work with this method. What’s kind of odd is that I don’t recognize the other two authors as people who have ever done anything with this method, but they work in Zurich, the same city as DeLellis, so I guess that’s how they got into this.
Off the bat, they’re working on 3-D periodic domain, Navier-Stokes where the dissipation is fractional. Ever since the Euler equations were done in 3-d (the resolved 3-d Onsager conjecture) I think everyone has been looking toward Navier-Stokes, and this might be the easiest, most natural next problem to look at.
It seems like they prove the non-uniqueness of a weak “Leray” solution when the fractional power of the dissipation is small enough. Here “Leray” means the weak solution satisfies some special energy bounds (equations 2 & 3 in the intro).
What’s kind of cool is that the non-uniqueness is unexpected. Typically, dissipation has a helpful “smoothing” effect, so that when one produces a weak solution one would expect to also get uniqueness by using that dissipation term (in maybe a DeGiorgi argument or something). But this is not the case! I guess, Sverak coauthored a couple papers conjecturing the non-uniqueness of weak Leray solutions too, but since he didn’t prove it I’m guessing it must be hard to prove this result by standard methods.
Otherwise, the setup of the paper looks like pretty standard convex integration. Their main theorem follows the usual outline where given any energy profile, e(t), depending on time, they 1. construct a weak solution and 2. show the weak solution has the given energy profile. (Usually at this point we say that by the ability to choose any energy profile, we can construct two different functions which are both weak solutions and therefore weak solutions are non-unique).
What’s different in this paper is that they need to also show that the Leray energy inequalities are satisfied by their constructed solution and they make a second claim i.e. thm 1.2 and thm 1.3, that a specially choosen initial data can lead to infinitely many weak solutions. What this amounts to in the proof is the authors doing some extra book-keeping to track the error terms in the iteration of the convex integration.
I also see some notational and technical choices used that are kinda like DeLellis’s “calling card” when he writes convex integration papers lol. Also, he doesn’t use the newest “gluing technique” in this one (I hear it’s a total b*tch to layout the machinery for the gluing technique, but after it’s set up it gives improved estimates. I’m guessing the better estimates are overkill for what these authors are trying to prove, so that’s why they didn’t use it).
Sorry for the super long e-mail! But I really liked this paper you sent! I’ll probably even mention it to Phil when I get the chance. I hope your summer is going well too!
What are you up to these days??
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s3://commoncrawl/crawl-data/CC-MAIN-2019-09/segments/1550247481122.31/warc/CC-MAIN-20190216210606-20190216232606-00223.warc.gz
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CC-MAIN-2019-09
| 4,015 | 15 |
https://www1.rcsb.org/structure/6ATF
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math
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Molecular basis for increased susceptibility of Indigenous North Americans to seropositive rheumatoid arthritis.Scally, S.W., Law, S.C., Ting, Y.T., Heemst, J.V., Sokolove, J., Deutsch, A.J., Bridie Clemens, E., Moustakas, A.K., Papadopoulos, G.K., Woude, D.V., Smolik, I., Hitchon, C.A., Robinson, D.B., Ferucci, E.D., Bernstein, C.N., Meng, X., Anaparti, V., Huizinga, T., Kedzierska, K., Reid, H.H., Raychaudhuri, S., Toes, R.E., Rossjohn, J., El-Gabalawy, H., Thomas, R.
(2017) Ann Rheum Dis 76: 1915-1923
- PubMed: 28801345
- DOI: https://doi.org/10.1136/annrheumdis-2017-211300
- Primary Citation of Related Structures:
6ATF, 6ATI, 6ATZ
- PubMed Abstract:
The pathogenetic mechanisms by which HLA-DRB1 alleles are associated with anticitrullinated peptide antibody (ACPA)-positive rheumatoid arthritis (RA) are incompletely understood. RA high-risk HLA-DRB1 alleles are known to share a common motif, the 'shared susceptibility epitope (SE)'. Here, the electropositive P4 pocket of HLA-DRB1 accommodates self-peptide residues containing citrulline but not arginine. HLA-DRB1 His/Phe13β stratifies with ACPA-positive RA, while His13βSer polymorphisms stratify with ACPA-negative RA and RA protection. Indigenous North American (INA) populations have high risk of early-onset ACPA-positive RA, whereby HLA-DRB1*04:04 and HLA-DRB1*14:02 are implicated as risk factors for RA in INA. However, HLA-DRB1*14:02 has a His13βSer polymorphism. Therefore, we aimed to verify this association and determine its molecular mechanism.
Department of Biochemistry and Molecular Biology, Infection and Immunity Program, Biomedicine Discovery Institute Monash University, Clayton, Australia.
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CC-MAIN-2023-50
| 1,708 | 9 |
https://www.english-guide.org/node/1150
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math
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Play this game and you'll learn as well as feed the hungry! Click on the word that closely matches the bold word (synonym). If you get it right, you get a harder question. If you get it wrong, you get an easier question. For each question you get right 10 grains of rice are donated to the UN Food Program.
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s3://commoncrawl/crawl-data/CC-MAIN-2022-21/segments/1652662587158.57/warc/CC-MAIN-20220525120449-20220525150449-00679.warc.gz
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CC-MAIN-2022-21
| 306 | 1 |
https://www.prep4usmle.com/forum/thread/2054/
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math
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|Prep for USMLE|
| Forum | Resources||New Posts | Register | Login||» |
i am a medical student from surat , India ... i would like to know how should one go about regarding the visa for the 3rd part .. which category should one apply for and what are the reqirements ..
i would like to know what are the chances for getting the visa , as till now from who ever i have inquired from , i havent got such a positive report .
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s3://commoncrawl/crawl-data/CC-MAIN-2023-14/segments/1679296948976.45/warc/CC-MAIN-20230329120545-20230329150545-00367.warc.gz
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CC-MAIN-2023-14
| 679 | 11 |
https://www.head2toeosteopathy.com/post/running-the-london-marathon-book-your-sports-massage-in
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math
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Sports massage is a common practice for a large number of athletes, and for good reason too. Some of you may be running the London Marathon on 2nd October and you obviously want to be at your best for the event. A pre and post-event sports massage can really help you for the run itself, and it can also aid in your recovery so you're not hobbling around next week from delayed onset muscle soreness (DOMS).
Here's what the science says about the effect of sports massage:-
# it has a positive impact on perceived muscle fatigue
# flexibility has shown to improve, particularly hamstring length
# a 13% reduction in DOMS post-exercise
# increased joint range of motion
# increased sense of wellbeing
# decreased muscle spasms
# better sleep
Make all that hard training worth it and get your legs feeling their best on the day and book a pre and post event sports massage.
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s3://commoncrawl/crawl-data/CC-MAIN-2023-50/segments/1700679100550.40/warc/CC-MAIN-20231205073336-20231205103336-00375.warc.gz
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CC-MAIN-2023-50
| 871 | 10 |
https://discussions.flightaware.com/t/arrival-time-in-toronto-airport/5581
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math
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I have seen flights come into the small airport in Toronto Ontario after 11 p.m. In tracking flights with flightaware it states arrival will be after 11 p.m. After landing at 11:02 or 11:04 the time of arrival is posted as 10:59. This is almost each and everytime even though I saw the plane(s) in question arrive at 11:04 or 11:03. Yesterday a plane landed at 11:26 (I witnessed this) yet it is reported as having landed at 11:13 or thereabouts. Clearly, the plane was still in flight, even according to its own track log.
My question: how is the final time calculated if in fact at 10:59 the plane is still in the air. Is there a five minute margin of error, say? How does Flightaware get this information?
Perhaps this question has been asked or it is in the FAQs (and I can’t find it) but I am very new to this website and I am curious and wish I understood it all better, so please forgive me.
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s3://commoncrawl/crawl-data/CC-MAIN-2018-39/segments/1537267156780.2/warc/CC-MAIN-20180921033529-20180921053929-00001.warc.gz
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CC-MAIN-2018-39
| 900 | 3 |
http://www.facessc.com/the-little-known-tips-for-math-for-kids/
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math
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Explore the 12 finest math courses on-line to search out the highest choice on your schedule, finances, and learning degree – from novices to advanced students. Via the IXL Math web site, you can apply math questions online or by way of your cellular. Math questions are categorized by important skills and include visible aids. Whilst the platform is sort of fundamental, any incorrect solutions are properly explained. More than 425 math games, logic puzzles, and mind workouts for students to follow their math expertise.
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We’re a nonprofit with the mission to supply a free, world-class schooling for anyone, anyplace. And with that, yet another “impossible” math question is found to be very much attainable. So, this 30-year-old conundrum centered on whether or not or not these two elements could exist in the same set of numbers. Any large sufficient integer can be written as the end result of including collectively at most 3 numbers in the set. For 30 years, mathematicians wondered if you could have an infinite set of numbers where every pair of numbers provides as much as a novel value, and have those values every be pretty massive. For further particulars and extra data, candidates are suggested to check out the official website.
Desmos math provides a web-based graphing calculator and a variety of tools and actions to help students in studying and exploring math ideas. Via the Preply web site, you will get in touch with licensed math tutors on-line. They can provide custom-made 1-to-1 lessons based on your studying degree, objectives, and availability. Two users play a recreation by which every participant tries to attach 4 game items in a row . The trainer chooses how a lot time each player has to answer, the level of difficulty, and the kind of math problem.
Find What kumon learning center Is
Check out our list of one of the best websites for learning math, suitable for all ages and skill ranges. Simple math check actions for academics and college students, from starting math operations to calculus. A report, which tallies proper and incorrect solutions, is supplied after every quiz. Their “Mathematics With a Human Face” web page includes information about careers in mathematics as properly as profiles of mathematicians.
kumon learning center No Further a Mystery
Plus you can track student progress with a teacher dashboard that gives immediate feedback on areas of progress with no grading necessary. The Art of Problem Solving website provides math classes for elementary, center, and high school students. The sources on offer depend in your learning level, with some being more comprehensive than others. Below we’ve created a list of the most effective math studying web sites so you can find one of the best one for you.
This makes it difficult to search out materials which are tailored to your personal studying objectives. Founded in 2012 by Sue Khim, a former Google employee, Brilliant.org goals to give you the skills kumon awards you should excel in STEM topics, together with math. With over thirteen,000 entries, MathWorld is probably certainly one of the most extensive sources for math articles in the world.
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As quickly as two sums are the same, the gathering of numbers is now not thought-about a Sidon set. “You can’t combine the 2,” stated Chaim Goodman-Strauss, a co-author and outreach mathematician on the National Museum of Mathematics in New York. “I machine-cut shapes from card, to see what may occur if I had been to make use of only unreflected tiles,” he said in an e mail. Reflected tiles were forbidden “by fiat,” because the authors put it. In November 2019, Popular Mechanics listed Cool Math Games as considered one of its “50 most essential web sites” since the web was created. Despite the abundance of quality websites for learning math, most cater to a broad audience.
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s3://commoncrawl/crawl-data/CC-MAIN-2024-10/segments/1707947474670.19/warc/CC-MAIN-20240227021813-20240227051813-00355.warc.gz
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CC-MAIN-2024-10
| 4,290 | 13 |
https://www.srmikki.co/what-are-class-boundaries-in-statistics-when/
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math
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· There are your class boundaries. Everyone from 1.500 to 1.549 will be in a class, everybody from 1.550 to 1.599 will be in the next class, etc. Now you may have sizeable class-numbers, that will allow you to make graphs like histograms, etc.
Note that the claim is not that the data is discrete, but that the class labels are discrete. At your link, the answer to your question is “while preventing gaps” — every possible value of the data ends up assigned to a class. (Sometimes you don’t know that your real
The class boundary is the midpoint between the highest possible value in one class and the lowest possible value in the next class. Also, if we want to find class width of data such as 0-9, 10-19, etc, whether it is continuous or discrete, we always use the difference between class boundaries, right?
Ch 1.3 Frequency Distribution (GFDT)
class width: difference between 2 consecutive lower limits. class boundaries: values between 2 classes. Ex.Given GFDT below: find lower limits, classwidth, class midpoints. Because each class has one value, lower limits and upper limits are the same: 0, 1
STATITCS ASIGEMENT 2
View Homework Help – STATITCS ASIGEMENT 2 from STATISTICS PS120 at Boston College. Section 2.1: For exercise 5-8, find the class boundaries, midpoints, and widths for each STATITCS ASIGEMENT 2 – Section 2.1 For exercise 5-8 find the class
Here we will learn class mark. The class mark of a class interval = (Actual lower limit + Actual upper limit)/2 = (Sum of Class Boundaries)/2. For Example: The class mark of the overlapping class interval 10 – 20 = (10 + 20)/2 = 15. Note: Through in a grouped data the class intervals can be of unequal size, usually we will meet class intervals of equal size.
How to create a frequency table, Class Interval
Basic Statistics How to create a frequency table, Class Interval By E-Pandu.Com Monday, October 7, 2019 Add Comment Edit The boundaries between class intervals must be clearly defined and not overlap so that the values of observations can be grouped
Cumulative Frequency( type) corresponds to lower class boundaries. Here, he Cumulative Frequency(< type) corresponding to the class boundary 20.5 is 17 which means that the number of values less than or equal to 20.5 is 17.
What is class size in statistics?
In statistics the class boundaries are numbers that separate classes without forming gaps. To find the lower, you subtract 0.5 and to find the upper, you add 0.5. If the class is 3-7 the lower
Free Computer Tutorials & Lessons
It is left to the experimenter to find class intervals which will produce a meaningful and useful statistics. William Navidi, in his textbook “Probability and Statistics for Engineers and Scientists” states that the number of classes should be approximately equal to the square root of the sample size.
Class Frequency Class limits Class boundaries Class mark Class size 180 – 199 2 180, 199 179.5, 199.5 189.5 20 200 – 219 5 200, 219 199.5, 219.5 209.5 20 220 – 239 12 220, 239 219.5, 239.5 229.5 20 240 – 259 6 240 – 259 239.5, 259.5 249.5 20 25
Frequency Distribution and Class Interval
In exclusive method of class formation, we add the interval 5 to the lower limit of the lowest class to find the upper limit of the class as 140 + 5 = 145. Thus our lowest class becomes 140 – 145. The remaining class limits and classes are obtained by adding the interval i.e. 5 to each class limit unit we reach the 12th class as 195-200, which contains the highest score of 197 in the data in
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. The lower limit for every class is the smallest value in that class. On the other hand, the
What is Cumulative Frequency Curve or the Ogive in Statistics First we prepare the cumulative frequency table, then the cumulative frequencies are plotted against the upper or lower limits of the corresponding class intervals. By joining the points the curve so obtained is called a cumulative frequency curve or ogive. There are two types of ogives […]
WELCOME to Tutorteddy.com. This is a REAL site intended to help students in statistics courses. We function as online statistics tutor in a similar manner as a statistics class. online statistics help are provided to the students, researchers, etc. Our experts aid
Define class mark. class mark synonyms, class mark pronunciation, class mark translation, English dictionary definition of class mark. n 1. statistics a value within a class interval, esp its midpoint or the nearest integral value,
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s3://commoncrawl/crawl-data/CC-MAIN-2023-23/segments/1685224653631.71/warc/CC-MAIN-20230607074914-20230607104914-00329.warc.gz
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CC-MAIN-2023-23
| 4,642 | 22 |
https://www.motjuice.co.uk/call-me/
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math
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Fill in the form below and we'll call you back at a convenient time
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s3://commoncrawl/crawl-data/CC-MAIN-2021-49/segments/1637964363515.28/warc/CC-MAIN-20211208144647-20211208174647-00184.warc.gz
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CC-MAIN-2021-49
| 569 | 7 |
https://avesis.itu.edu.tr/yayin/e3cb44b2-8a5a-4c5b-9183-3af1192bceb5/basis-problems-for-matrix-valued-functions
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math
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Basis problems for self-adjoint matrix valued functions are studied. We suggest a new and nonstandard method to solve basis problems both in finite and infinite dimensional spaces. Although many results in this paper are given for operator functions in infinite dimensional Hilbert spaces, but to demonstrate practicability of this method and to present a full solution of basis problems, in this paper we often restrict ourselves to matrix valued functions which generate Rayleigh systems on the n-dimensional complex space C-n. The suggested method is an improvement of an approach given recently in our paper [M. Hasanov, A class of nonlinear equations in Hilbert space and its applications to completeness problems, J. Math. Anal. Appl. 328 (2007) 1487-1494], which is based on the extension of the resolvent of a self-adjoint operator function to isolated eigenvalues and the properties of quadratic forms of the extended resolvent. This approach is especially useful for nonanalytic and nonsmooth operator functions when a suitable factorization formula fails to exist. (C) 2007 Elsevier Inc. All rights reserved.
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s3://commoncrawl/crawl-data/CC-MAIN-2021-49/segments/1637964363376.49/warc/CC-MAIN-20211207105847-20211207135847-00634.warc.gz
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CC-MAIN-2021-49
| 1,119 | 1 |
https://wilson--blog.blogspot.com/2010/12/year-end-stats.html
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math
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I know that all by regular blog readers (all eleven of you) are just dying to know about wilsonblog's statistics. Well, thanks to Blogger I can tell you...
Let's start with my top ten most popular blog posts ever!
# 1 From the vault - Smith & Wesson Model 4566
# 2 N Frame Carry
# 3 Double Down!
# 4 Gun product review - RB-17
# 5 Continued light blogging...
# 6 Movie Reviews - End of the World Edition
# 7 Gone shooting - S&W 342PD
# 8 Registered Magnum Reading
# 9 My Black Rifle
# 10 People with guns collection # 19
But what about wilsonblog readers? The vast majority of my readers, as could easily be guessed, are in the United States (92.4%). But did you know what other countries love wilsonblog? Here is the count down of the other five top viewing countries - Russia (1.38%) - United Kingdom (1.32%) - Netherlands (1.31%) - Germany (.84%) - Canada (.81%)
What about browsers? How are all those viewers actually viewing wilsonblog? - Internet Explorer 73% - Firefox 16% - Safari 4% - Chrome 2% - Opera 1% - (Jakarta - Java - Netscape - Iron - Mobile - all less than 1%)
Then there are the operating systems. Windows 91% - Macintosh 5% - Other Unix 2% - (iPhone - Linux - iPad - iPod - Blackberry - SonyEricsson all less than 1%)
And finally, since starting on Blogger last March wilsonblog has had 9572 page views.
Now don't you feel better knowing all of this?
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s3://commoncrawl/crawl-data/CC-MAIN-2023-50/segments/1700679100762.64/warc/CC-MAIN-20231208144732-20231208174732-00896.warc.gz
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CC-MAIN-2023-50
| 1,371 | 17 |
http://ux.stackexchange.com/questions/tagged/context-sensitive-help+error-message
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math
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User Experience Meta
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s3://commoncrawl/crawl-data/CC-MAIN-2014-23/segments/1405997857714.64/warc/CC-MAIN-20140722025737-00223-ip-10-33-131-23.ec2.internal.warc.gz
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CC-MAIN-2014-23
| 2,143 | 52 |
https://clover.science.uu.nl/archive-of-problems/
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math
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Do you like to practise more? Take a look a Project Euler. For example this problem:
Starting in the top left corner of a 2×2 grid, and only being able to move to the right and down, there are exactly 6 routes to the bottom right corner.
How many such routes are there through a n×n grid?
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s3://commoncrawl/crawl-data/CC-MAIN-2022-40/segments/1664030334912.28/warc/CC-MAIN-20220926144455-20220926174455-00478.warc.gz
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CC-MAIN-2022-40
| 290 | 3 |
http://oldestof15.blogspot.com/2007/11/can-you-do-it.html
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math
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Ok, here is a quiz that Tristan has in his new book that he received for his birthday. Each rectangle is a house and the circles stand for water, electricity, and gas. Grab a paper and pencil and draw your own sketch.
Draw a pipe (line) so water goes to each house and gas and electricity go to each house. The catch is: the pipes can NOT cross each other. The circles and rectangles can go any where on your paper. I will tell the solution soon!
Solution: It's impossible
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s3://commoncrawl/crawl-data/CC-MAIN-2018-26/segments/1529267861899.65/warc/CC-MAIN-20180619041206-20180619061206-00433.warc.gz
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CC-MAIN-2018-26
| 472 | 3 |
https://ijsea.com/archieve/volume8/issue3/ijsea08031004
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math
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The assignment process for graduated students at the beginning of each semester is an important process for all academic programs at Benghazi University. This paper presents a model that includes a number of constraints relating to the minimum and maximum number of students in each academic program and the prerequisites and corequisites for each project in each academic program. The objective is to determine a way to assign students to projects according to their preferences. A linear grade function that represents the preferences of each student is introduced to be maximized. A 0-1 integer programming formulation is proposed that was implemented using data from the 2008 fall and 2009 spring semesters in the Industrial Engineering and Manufacturing Systems Department at the University of Benghazi in Benghazi, Libya. The assignment solutions were obtained using different preference criterions and were then compared with the solutions previously obtained using a manual system.
Title = "0-1 Integer Programming Formulation for Solving the Student Project Assignment Problem",
Journal ="International Journal of Science and Engineering Applications (IJSEA)",
Volume = "8",
Pages ="90 - 105",
Year = "2019",
Authors ="Houda A. Elmogassabi"}
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s3://commoncrawl/crawl-data/CC-MAIN-2019-18/segments/1555578716619.97/warc/CC-MAIN-20190425094105-20190425120105-00312.warc.gz
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CC-MAIN-2019-18
| 1,250 | 7 |
http://home.comcast.net/~xtxinc/emc2.htm
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math
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to popular myth, Einstein did not usher in the atomic age, in fact,
he found the idea of atomic energy to be silly, 217 nor was
Einstein the first to state the mass-energy equivalence, or E =
mc2.218 Myths such as Einstein's supposed
discoveries are not uncommon. Newton did not discover gravity, nor did
he offer a viable explanation for it, nor did he believe that matter
attracted other matter. . . . It appears that the physics community and
the media invented a comic book figure, "Einstein", with "E
= mc2" stenciled across his chest. . .
anticipation of Thomson, De Pretto and the Einsteins, S. Tolver Preston
formulated atomic energy, the atomic bomb and superconductivity back
in the 1870's, based on the formula E = mc2, where celeritas,
"c", signifies the speed of light. Pursuing Le Sage's theory,
Preston believed that mass could be attenuated into aether, thereby
releasing a tremendous store of energy; since aether particles move
at light speed--a limiting velocity, the energy store is equal to mass
times the square of the speed of light. Albert Einstein never even came
close to such insights. . . .
equations implicitly contain the formula E = mc2.
Simon Newcomb pioneered the concept of relativistic energy in 1889.224
Preston, J.J. Thompson,225 Poincare,226 Olinto
De Pretto,227 Fritz Hasenohrl,228 [etc. etc. etc.]
each effectively (Albert Einstein, himself, did not expressly state
it in 1905), or directly, presented the formula E = mc2,
before 1905, and Max Planck229 refined the concept in 1906
- 1908, including Newton's230, Bessel's231 and
Eotvos'232 implications that inertial mass and gravitational
mass are equivalent -- before Albert Einstein.
Bain expressly stated in 1870 that,
"matter, force, and inertia, are three names for substantially the same fact"
"force and matter are not two things, but one thing"
"force, inertia, momentum, matter, are all but one fact".239
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s3://commoncrawl/crawl-data/CC-MAIN-2015-40/segments/1443736678818.13/warc/CC-MAIN-20151001215758-00081-ip-10-137-6-227.ec2.internal.warc.gz
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CC-MAIN-2015-40
| 1,904 | 32 |
http://xbassignmentdeqq.icecondoassignments.info/introduction-to-operations-research-solutions.html
|
math
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Add tags for solutions manual to accompany introduction to operations research, seventh edition [by] frederick s hillier, gerald j lieberman be the first similar items. “operations research (management science) is a scientific approach to decision making that seeks to best design and operate a system, usually under conditions requiring the allocation of scarce resources. Operations research an introduction 10th edition taha solutions manual download at: operations research an introduction 10th edition pdf operations research taha 10th edi solutions manual - introduction to operations research - hillier. Xiii table of contents preface xxiii chapter 1 introduction 1 11 the origins of operations research 1 12 the nature of operations research 2 13 the impact of operations research 3 14 algorithms and or courseware 5 problems 6 chapter 2 overview of the operations research modeling approach 7 21 defining the problem and gathering data 7 22. For over four decades, introduction to operations research by frederick hillier has been the classic text on operations research while building on the classic strengths of the text, the author continues to find new ways to make the text current and relevant to students.
Solutions manual - introduction to operations rese for later save related info embed share print 35076690-solutions-manual-introduction-to-operations-research-hillierpdf inventory solutions hamdy a taha transportation exercise from hmtaha solution documents similar to solutions manual - introduction to operations research. Chapter 1: introduction chapter 2: overview of or chapter 3: introduction to linear programming derive solution(s) from the model and do post-optimality instructor: thomas shores department of mathematics math 428: introduction to operations research chapter 1: introduction chapter 2: overview of or. Hillier, fs, lieberman, gj, 2000 introduction to. Can you find your fundamental truth using slader as a completely free introduction to operations research solutions manual yes now is the time to redefine your true self using slader’s free introduction to operations research answers.
I have the instructor solution manuals to accompany mathematical, engineering, physical, chemical, financial textbooks, and others these solution manuals contain a clear and concise step-by-step solution to every problem or exercise in these scientific textbooks. In addition to introduction to operations researchand two companion volumes, introduction to mathematical programming (2nd ed, 1995) and introduction to stochastic models in operations research (1990), his books are handbook of industrial statistics (prentice-hall, 1955, co-authored by a h bowker). Solution manual for design of machinery: an introduction to the synthesis and analysis of mechanisms and machines norton 5th edition 0 out of 5 design of machinery: an introduction to the synthesis and analysis of mechanisms and machines norton 5th edition solutions manual. Operations research: an introduction, 9/e is ideal for or junior/senior undergraduate and first-year graduate courses in operations research in departments of industrial engineering, business administration, statistics, computer science, and mathematics â this text streamlines the. Introduction to operations research solutions hillier solutions manual introduction to operations research , scribd is the world's largest social reading and publishing site.
Available july 31, 2004 the 8th edition of introduction to operations research remains the classic operations research text while incorporating a wealth of state-of-the-art, user-friendly software and more coverage of business applications than ever before. The term operational research [research into (military) operations] was coined as a suitable description of this new branch of applied science the first team was. O scribd é o maior site social de leitura e publicação do mundo. Solutions manual of hiller- introduction to operations research chapter 4. Introduction to operations research chapter (pdf available) in journal of the royal statistical society series a (general) 139(2) january 1969 with 44,675 reads.
Mathematically formulated operations research problems 2) analyze the stability of solutions to these algorithms when the input is perturbed (modified) slightly 3) identify real-world situations in which it is appropriate to use these algorithms. Solutions manual has 364 ratings and 57 reviews: published 1982 by macmillan, 201 pages. Introduction to operations research 9th solutions manual in order to get test bank and solutions manual for hillier – introduction to operations research 9th edition, please contact [email protected] for samples solutions manual: operations research: an introduction by hamdysystem solution. Introduction to operations research matthew galati [email protected] department of industrial and systems engineering, lehigh university service parts solutions, ibm corporation.
Introduction to operations research:- by g n satish kumar - duration: [ modi method - u v method - optimal solution ] :-by kauserwise why study econometrics and operations research. 11 introduction 12 history of operations research 13 stages of development of operations operations research can also be treated as science in the sense it describing, understanding and or is an interdisciplinary discipline which provided solutions to problems of military operations during world war ii, and also successful in other. Introduction to operations research tenth edition frederick s hillier preface xxii charter 1 introduction 1 11 the origins of operations research 1 12 the nature of operations research 2 13 the rise of analytics together with operations research 3 14 the impact of operations research 5 23 deriving solutions from the model 15 24. Be the first to review “solution manual for introduction to operations research hillier lieberman 9th edition” cancel reply you must be logged in to post a review related products.
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CC-MAIN-2018-43
| 6,003 | 6 |
http://smessaydctn.blinkingti.me/ib-maths-coursework.html
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math
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Ib math hl coursework flow rate - free download as word doc (doc), pdf file (pdf), text file (txt) or read online for free. In addition to all the material in your mathematics sl course book, we've included a full set of worked solutions here, to fully equip you to tackle the course and assessment. If it isnot well well appreciated and does not new out from the city, then your accomplishments ib maths coursework help where you would to go will be locally diminished 0 a spin gets no. Ib maths coursework we give our customers unique approach offered by no other service, when they ask us to write me an essay. No fear shakespeare home admission freshman admission ap, clep, ib, dantes and transfer credits bring your credits to ub applicants will be considered for admission on their high.
What is a good topic for an internal assessment for ib math studies update cancel answer wiki 8 answers amar suchak, ib what are interesting topics for ib math studies ia that are. International school of paris ib diploma programme ib diploma handbook class of 2017 2 international baccalaureate diploma handbook ib coursework deadlines international. A good project for internal assessment can be the backbone of a good grade and good experience on the maths studies course obviously at 20% of the course grade, its importance speaks for. Read more about what students in mathematics -- part of the international baccalaureate® diploma programme.
Isberne ib diploma programme coursework 35 ib internal coursework deadlines mathematics mathematical studies page 6 ib diploma guide 2014 | international school of berne ag. Maths ia – exploration topics september 3, 2013 in ib maths, real life maths school phuket, internal investigation, maths exploration, maths ia this is the british international. Overview the undergraduate mathematics course, the mathematical tripos, lasts three or four years overview the undergraduate mathematics course ib and ii of the mathematical tripos in.
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Example ias graded based on current guidelines: ib example 1 - new ia ib example 2 - new ia ib example 3 - new ia ib example 4 - new ia ib example 5 2 thoughts on “ example math studies. Ib internal assessment marking scheme. Ib mathematical studies standard level subject brief the ib diploma programme, for students aged 16 to 19 breadth and depth of study mathematical studies standard level is in group 5.
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CC-MAIN-2018-34
| 2,713 | 5 |
https://en.community.sonos.com/what-to-get-228989/exact-difference-between-beam-and-2x-one-s-6851765?postid=16493625
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math
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I know it can look like a question that has been asked dozens of times, but let me explain:
I know now for sure, after all the conversations held in this forum, that 2x Ones will give you better sound than the beam. Now, my question here is, how much better?. Is it a 30% better. Just a slight increase in bass?
Just enough better to give up all the convenience that the Beam gives me?
I just plan to use it in my bedroom which is small.
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s3://commoncrawl/crawl-data/CC-MAIN-2021-10/segments/1614178375274.88/warc/CC-MAIN-20210306162308-20210306192308-00509.warc.gz
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CC-MAIN-2021-10
| 437 | 4 |
http://onlinelibrary.wiley.com/doi/10.1111/j.2041-210X.2012.00229.x/full
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math
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1. Species-abundance distributions (SADs) are a convenient and common method for describing ecological communities. Despite their long history and the cornucopia of theoretical models, which have been suggested to describe them, no agreement has been reached as to which models are best.
2. This lack of agreement is in part owing to the inherent differences in the abundance measure used. Discrete measures such as density and point quadrat cover produce a distinct veil line (positive skewness) when compared to continuous measures such as biomass or basal area. We compared two different sets of discrete and continuous abundance measures commonly used to estimate plant abundance, (i) cover (estimated from point quadrats) vs. biomass for 35 quadrats in garigue vegetation on serpentine soil in Tuscany, Italy; and (ii) density vs. basal area for the 2005 50 ha BCI (Panama) tree data. We used marginal plots (ordinary scatter plots with a dotplot of each variable along its own axis) to compare the shape of the SAD based on the two abundance measures.
3. The average of all 35 garigue plots gave a reasonably consistent description of the data. In contrast, when all 35 plots were concatenated, or when an individual plot was investigated, the discrete cover marginal plot, but not the continuous biomass plot, was truncated. The discrete density marginal plot, but not the continuous basal area plot was also truncated.
4. We highlighted the substantial effect that the species-abundance measure selected has on the shape of the SAD by comparing measures of skewness and kurtosis. This suggests that communities sampled using different abundance methods may fit different theoretical models best, not because they are fundamentally different but because the abundance measure is fundamentally different. Averaging over all the quadrats produced a better correspondence between the two abundance methods. Aside from the theoretical aspects of model fitting, our results clearly show that comparisons of communities or meta-analyses using SADs based on different measures of abundance should be treated with caution.
Species-abundance distributions (SADs), also called relative-abundance distributions (RADs), record the relative or absolute number of a set of species in a sample. As a description of an ecological community, they sit conveniently between a simple listing of the species present and multidimensional analysis (McGill et al. 2007) and so have been much studied. Generally, they are unimodal on a logarithmic scale of abundance and that has lead ecologists to seek a simple mathematical form for SADs. Despite this simplicity, McGill et al. (2007) list 27 models that have been suggested and note an absence of agreement about which models are best.
Chiarucci et al. (1999) calculated SADs for 35 individual plots, fitting broken-stick, geometric, lognormal and Zipf–Mandelbrot functions (models 20, 19, 6 and 11, respectively, in McGill et al. 2007) on point quadrat cover and biomass data. The most frequent (22 plots) best fitting model for the point quadrat cover data was the Zipf–Mandelbrot, and in contrast, the most frequent best fitting model for the biomass data (16 plots) was the lognormal. The Zipf–Mandelbrot model was the best fitting model for biomass data in 10 plots, whilst the lognormal was the best fitting model for the point quadrat cover data in only two plots.
There are two simple reasons for this lack of agreement. The first is that none of the models is additive (Williamson & Gaston 2005; Šizling et al. 2009) over either taxa or areas; indeed Šizling et al. (2009) show that such an additive model involves an indefinitely large number of parameters. This means that a model that fits at one scale or one set of species cannot also fit at another scale or over an enlarged set of species. The second, and the one we are concerned with here, is that the models are not invariant under different abundance measures; SADs change shape in relation to the abundance measure used. This has been recognised to some extent by reference to Preston’s veil line (Williamson 2010) or by classing data sets as fully censused vs. incompletely sampled (Ulrich, Ollik & Ugland 2010). But the veil line is an unsatisfactory approximation (Chisholm 2007; Williamson 2010) and all data sets are in some sense and to some degree samples, so sampling is a continuous (and universal) variable, not a discrete one. Chisholm (2007) has a thorough discussion of previous arguments, particularly Dewdney (1998). Williamson (2010) showed that the investigator choice of using individuals as opposed to biomass for sampling has a mathematical consequence; describing the phenomenon of differential veiling using marginal plots of the same community measured as individuals and as biomass. Much SAD work has been with taxa in which individuals are readily distinguished (e.g. Morlon et al. 2009; who studied trees, fishes, birds and mammals). For applied plant ecology, both biomass and density have serious drawbacks as abundance measures (Kershaw 1973). Collecting biomass data is destructive and time-consuming and plant density has the inherent problem that individuals are often difficult to distinguish, if it is possible at all, and where there may be great variation in size within a species (Jonasson 1988). Here, we consider the effect of sampling plant communities using different species-abundance measures. Objective abundance measures commonly used with plant communities often attempt to estimate cover, for example, point quadrat cover or local frequency (Greig-Smith 1964). Neither of these measure individuals per se but in common with density they are discrete variables, that is, the count of numbers of pin hits or subsquares occupied. In contrast, both biomass and basal area are continuous variables. Williamson (2010) linked the differential veiling to individuals. In contrast, we show that whilst differential veiling does occur with individuals this is not a property of individuals per se, rather differential veiling is a consequence of using a discrete rather than continuous abundance measure. Counting individuals is, along with a multitude of other sampling measures discrete, and it is the discreteness, not the individualness which produces the differential veil line. This is an important distinction, especially relevant to fields, such as plant sampling, where discrete abundance measures other than counting individuals are common.
Materials and methods
Point quadrat cover versus biomass data
The point quadrat cover versus biomass data come from garigue vegetation on serpentine soil in Tuscany, Italy where 35 1 m × 1 m plots were surveyed in two ways (Chiarucci et al. 1999). Point quadrat cover estimates cover using the number of pins touching each species, in this case contacts out of 441 pins in each 1-m2 plot. Biomass was measured as the dry weight (after 48 h at 80°C) for each species in each plot. The plots were subject to seven different experimental treatments, but we ignore that here. We also ignore any species present in a plot but happening not to be touched by any pin, recorded as 0·5 pin in Chiarucci et al. (1999). We analysed three assemblage levels: (i) the average per plot for each species over all 35 plots, (ii) the concatenation of all the individual plots, that is, data for all 35 individual plots superimposed in one graph and (iii) the results for a single plot, we used plot 31 as this is the plot set out in detail in Chiarucci et al. (1999).
Density versus Basal area data
The density vs. basal area data come from 2005 BCI data (50 ha plot on Barro Colorado Island, Panama) (https://ctfs.arnarb.harvard.edu/datasets/BCI/abundance). They are freely available and are the first year in which all the individuals there were identified to species. We have used the trees with a diameter at breast height (d.b.h.) >10 cm as the resolution of measurement means that some saplings have a recorded basal area of zero.
Instead of function fitting, biomass vs. point quadrat cover data and individuals vs. basal area data were investigated using marginal plots (Williamson 2010) and then calculating skewness and kurtosis for the four pairs of marginal distributions. Marginal plots are ordinary scattergrams for two variables with the addition of a dotplot of each variable along its own axis. Note that in the vertical dotplot, the low value (‘left-hand’) end is at the bottom. Dotplots were preferred to histograms as they bring out the singleton and doubleton values more clearly.
The average over all 35 1-m2 plots (Fig. 1a) behaves as fully censused data in the sense of Ulrich, Ollik & Ugland (2010) even though it is still a small sample of garigue vegetation. Both cover (measured by points) and biomass (measured as dry weight) show reasonably symmetrical plots on logarithmic abundance scales. Table 1 shows that as usual in well-sampled data (Williamson 2010), both skewness and kurtosis tend to be negative, that is, the data are slightly left skew and platykurtic. But there are too few points, only 34, for either to be statistically significant.
Table 1. Skewness and kurtosis of the marginal plots for both biomass and cover for the three cover versus biomass assemblage levels: A) the average of the 35 plots; B) the concatenation of the 34 plots individually and C) an individual plot (plot 31), as in Fig. 1
Mean of all plots
Concatenation of all individual plots
N (number of data points)
P-values in brackets. Note that all signs are negative except for the skewness of individual cover plots (both all plots and plot 31). Those two positive values are shown in bold, as are significant probabilities.
The point quadrat cover data for individual 1-m2 plots (Fig. 1b,c) behave as ‘incompletely sampled’ in the sense of Ulrich, Ollik & Ugland (2010), an incomplete sample of the garigue vegetation. However, the biomass data for the same individual plots are much more symmetrical, and in the sense of Ulrich, Ollik & Ugland (2010), they should be considered ‘fully censused’. Realistically, both the 1-m2 plots and the set of 35 of them are samples, whether of biomass or point quadrat cover, at their respective scales, but neither is a complete community.
The seven different treatments across the plots cause a lot of scatter, but the dominance of singleton point quadrat cover estimates (i.e. a species sufficiently rare that it is hit by only one pin) and subdominance of doubleton point quadrat cover estimates is clear in the marginal dotplot (Fig. 1b). The scatter plot appears truncated at the singleton line. This is less clear when looking at an individual plot, such as plot 31 (Fig. 1c) because of the paucity of points, but can still be seen. Both the concatenation of all 35 plots (Fig. 1b) and the single plot 31 (Fig. 1c) show that the difference between biomass and point quadrat cover SADs comes from the point quadrat cover being measured discretely, with a cut-off at one sample pin, whilst biomass is a continuous variable. That difference leads to species with low cover being lost on sampling, whereas species with low biomass are lost only if they also have low cover.
The different effects of sampling on (continuous) biomass and (discrete) point quadrat cover are clear on the skewness statistics. The skewness of biomass is nonsignificantly negative in all three graphs but the skewness of point quadrat cover shifts from a left skew (−0·302) over the whole 35-m2 sample to a right skew (+0·406) over the set of individual plots. Only the latter, based on a much larger set of points, is statistically significant but that makes the difference between the two estimates highly significant. The kurtosis values are negative in all six cases. Only one is formally, and highly, significant but the set has a probability of 1/32, significant at the 5% level.
As with the point quadrat cover vs. biomass data the density vs. basal area data show an obvious truncation to the marginal plot of the discrete density data without a corresponding truncation in the continuous basal area data (Fig. 1d). Skewness and kurtosis values are given in Table 2 and behave as before.
Table 2. Skewness and kurtosis of the marginal plots for both basal area and density (individuals >10 cm d.b.h.) for the BCI 2005 data
N (number of data points)
P-values in brackets. Note that all signs are negative except for the skewness of the density plot (shown in bold along with significant probabilities).
Discussion and conclusion
Chiarucci et al. (1999), Connolly et al. (2005) and Morlon et al. (2009) all noted that different methods of sampling lead to mathematically different SADs. Williamson (2010) found a simple way of expressing and explaining this: marginal plots, as in Fig. 1, show that the distinction between sampling by discrete abundance measures such as point quadrat cover or individuals and by continuous abundance measures such as biomass or basal area necessarily leads to the difference in SADs. Williamson (2010) emphasised the ‘individuals’ part of that explanation but the data of Chiarucci et al. (1999) reanalysed here show that it is in fact the ‘discreteness’ not the ‘individualness’ of the data that creates the effect. Cover measured by point quadrats is discrete but what is measured is not a set of individuals but a set of pin hits approximating cover. Williamson (2010) also said ‘biomass SADs are different from individuals SADs and need not have the same mathematical form’. The Chiarucci et al. (1999) data show that the description of SADs measured by discrete counts should be a discrete mathematical function whilst those measured by continuous values require a continuous mathematical function, an important difference with a major effect on the sampling properties of the SADs.
This finding is confirmed by the BCI tree data and by another plant study, Guo & Rundel (1997), on postfire vegetation in Californian chaparral. Because of the vegetation type Guo and Rundel could measure species abundance as individuals, as cover (assessed by eye) and as biomass. They fitted no functions, but their cumulative SADs show a clear dominance of singletons in their discrete individuals data but not in the other two continuous forms.
If avoiding truncation of the SAD is important to the study then the abundance measure used must be continuous in nature, for example, biomass. On the other hand if using a discrete abundance measure, for example, density, point quadrat cover, local frequency, is desirable or unavoidable the truncation effect this will have on the SAD needs to recognised as a sampling artefact. The effect will be most noticeable in small samples.
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s3://commoncrawl/crawl-data/CC-MAIN-2017-43/segments/1508187822625.57/warc/CC-MAIN-20171017234801-20171018014801-00667.warc.gz
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CC-MAIN-2017-43
| 14,766 | 30 |
http://mathforum.org/library/drmath/view/60851.html
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math
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Factorials of Negative Integers
Date: 06/27/2002 at 02:21:04 From: Steven Subject: factorial Is it possible to compute the factorial of a negative number, e.g., (-4)! = ?
Date: 06/28/2002 at 05:33:31 From: Doctor Floor Subject: Re: factorial Hi, Steven, Thanks for your question. Starting from the explanation for 0! in the Dr. Math FAQ, 0! = 1 http://mathforum.org/dr.math/faq/faq.0factorial.html if we try to extend this to -1, we find that (-1)! = 1/0 which means that (-1!) is undefined. Extending further to (-2)! etc. is thus impossible as well. The same FAQ mentions the Gamma function, which generalizes the idea of factorial to non-integer numbers. Note that this function also yields undefined values for negative integer factorials. If you have more questions, just write back. Best regards, - Doctor Floor, The Math Forum http://mathforum.org/dr.math/
Search the Dr. Math Library:
Ask Dr. MathTM
© 1994- The Math Forum at NCTM. All rights reserved.
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s3://commoncrawl/crawl-data/CC-MAIN-2018-17/segments/1524125947421.74/warc/CC-MAIN-20180424221730-20180425001730-00053.warc.gz
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CC-MAIN-2018-17
| 961 | 6 |
https://math-faq.com/chapter-10/section-10-1/
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math
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Functions are used throughout calculus to model different quantities like cost, revenue, and profit. We need to review the basic concepts around functions before we can examine limits and other calculus concepts.
We start by examining the role of independent and dependent variables. Once we understand variables, we can use them to define functions.
Read in Section 10.1
- What is a function?
- What is function notation?
- Handout: Use Function Notation (PDF)
- What is a piecewise defined function?
Section 10.1 Workbook (PDF) 8-18-19
Watch Video Playlist
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s3://commoncrawl/crawl-data/CC-MAIN-2023-40/segments/1695233506481.17/warc/CC-MAIN-20230923130827-20230923160827-00547.warc.gz
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CC-MAIN-2023-40
| 558 | 9 |
https://infoscience.epfl.ch/record/34276
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math
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Consider a set of correlated sources located at the nodes of a network, and a set of sinks that are the destinations for some of the sources. The minimization of cost functions which are the product of a function of the rate and a function of the path weight is considered, for both the data-gathering scenario, which is relevant in sensor networks, and general traffic matrices, relevant for general networks. The minimization is achieved by jointly optimizing a) the transmission structure, which is shown to consist in general of a superposition of trees, and b) the rate allocation across the source nodes, which is done by Slepian-Wolf coding. The overall minimization can be achieved in two concatenated steps. First, the optimal transmission structure is found, which in general amounts to finding a Steiner tree, and second, the optimal rate allocation is obtained by solving an optimization problem with cost weights determined by the given optimal transmission structure, and with linear constraints given by the Slepian-Wolf rate region. For the case of data gathering, the optimal transmission structure is fully characterized and a closed-form solution for the optimal rate allocation is provided. For the general case of an arbitrary traffic matrix, the problem of finding the optimal transmission structure is NP-complete. For large networks, in some simplified scenarios, the total costs associated with Slepian-Wolf coding and explicit communication (conditional encoding based on explicitly communicated side information) are compared. Finally, the design of decentralized algorithms for the optimal rate allocation is analyzed.
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s3://commoncrawl/crawl-data/CC-MAIN-2021-25/segments/1623487584018.1/warc/CC-MAIN-20210612132637-20210612162637-00583.warc.gz
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CC-MAIN-2021-25
| 1,646 | 1 |
http://www.auditory.org/asamtgs/asa95stl/2pSA/2pSA4.html
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math
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Gerry R. Wickham
Dept. of Mathematics and Statistics, Brunel Univ., Uxbridge, Middlesex UB8 3PH, UK
Patricia A. Lewis
Bolton Inst., Bolton BL3, UK
The diffraction of sound by a semi-infinite planar crack arbitrarily oriented in a homogeneous anisotropic linearly elastic solid is considered. The problem is formulated exactly as an integrodifferential equation with a difference kernel which is the stress tensor corresponding to the fundamental point force solution for the uncracked solid. The solution of this equation is the crack opening displacement (COD) induced by the incident field and this may be expressed in terms of the Wiener--Hopf factors of the Fourier symbol of the kernel. The quantity of physical interest is the diffraction coefficient which is proportional to the Fourier transform of the COD and relates the vector amplitude on an incident ray to the crack edge, to the amplitudes on the diffracted rays. In the general case, the necessary Wiener--Hopf factorization cannot be found explicitly. However, by exploiting the fact that the diffraction coefficient is independent of frequency, it is possible to develop a novel numerical scheme for its evaluation. The exact diffracted field is then analytically expressed in terms of these coefficients. It is shown how the rich qualitative geometrical structure of the diffracted field may be obtained and how the solution reproduces known results for special material symmetries.
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s3://commoncrawl/crawl-data/CC-MAIN-2018-26/segments/1529267863411.67/warc/CC-MAIN-20180620031000-20180620051000-00232.warc.gz
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CC-MAIN-2018-26
| 1,450 | 5 |
https://www.computer.org/csdl/trans/tc/1972/02/05008922-abs.html
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math
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Issue No. 02 - February (1972 vol. 21)
Warren L. G. Koontz , School of Electrical Engineering, Purdue University, Lafayette, Ind.; Bell Telephone Laboratories, Inc., Holmdel, N. J. 07733.
Keinosuke Fukunaga , School of Electrical Engineering, Purdue University, Lafayette, Ind.
The problem of clustering multivariate observations is viewed as the replacement of a set of vectors with a set of labels and representative vectors. A general criterion for clustering is derived as a measure of representation error. Some special cases are derived by simplifying the general criterion. A general algorithm for finding the optimum classification with respect to a given criterion is derived. For a particular case, the algorithm reduces to a repeated application of a straightforward decision rule which behaves as a valley-seeking technique. Asymptotic properties of the procedure are developed. Numerical examples are presented for the finite sample case.
K. Fukunaga and W. L. Koontz, "A Nonparametric Valley-Seeking Technique for Cluster Analysis," in IEEE Transactions on Computers, vol. 21, no. , pp. 171-178, 1972.
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s3://commoncrawl/crawl-data/CC-MAIN-2018-26/segments/1529267867304.92/warc/CC-MAIN-20180624234721-20180625014721-00052.warc.gz
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CC-MAIN-2018-26
| 1,115 | 5 |
https://philpapers.org/rec/CORALA-7
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math
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John Corcoran and George Boger. Aristotelian logic and Euclidean geometry. Bulletin of Symbolic Logic. 20 (2014) 131.
By an Aristotelian logic we mean any system of direct and indirect deductions, chains of reasoning linking conclusions to premises—complete syllogisms, to use Aristotle’s phrase—1) intended to show that their conclusions follow logically from their respective premises and 2) resembling those in Aristotle’s Prior Analytics. Such systems presuppose existence of cases where it is not obvious that the conclusion follows from the premises: there must be something deductions can show. Corcoran calls a proposition that follows from given premises a hidden consequence of those premises if it is not obvious that the proposition follows from those premises.
By a Euclidean geometry we mean an extended discourse beginning with basic premises—axioms, postulates, definitions—1) treating a universe of geometrical figures and 2) resembling Euclid’s Elements. There were Euclidean geometries before Euclid (fl. 300 BCE), even before Aristotle (384–322 BCE). Bochenski, Lukasiewicz, Patzig and others never new this or if they did they found it inconvenient to mention.
Euclid shows no awareness of Aristotle. It is obvious today—as it should have been obvious in Euclid’s time, if anyone knew both—that Aristotle’s logic was insufficient for Euclid’s geometry: few if any geometrical theorems can be deduced from Euclid’s premises by means of Aristotle’s deductions.
Aristotle’s writings don’t say whether his logic is sufficient for Euclidean geometry. But, there is not even one fully-presented example. However, Aristotle’s writings do make clear that he endorsed the goal of a sufficient system.
Nevertheless, incredible as this is today, many logicians after Aristotle claimed that Aristotelian logics are sufficient for Euclidean geometries. This paper reviews and analyses such claims by Mill, Boole, De Morgan, Russell, Poincaré, and others. It also examines early contrary statements by Hintikka, Mueller, Smith, and others. Special attention is given to the argumentations pro or con and especially to their logical, epistemic, and ontological presuppositions. What methodology is necessary or sufficient to show that a given logic is adequate or inadequate to serve as the underlying logi of a given science.
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s3://commoncrawl/crawl-data/CC-MAIN-2024-18/segments/1712296816734.69/warc/CC-MAIN-20240413114018-20240413144018-00396.warc.gz
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CC-MAIN-2024-18
| 2,369 | 6 |
http://www.expertsmind.com/questions/mechanism-for-dislocation-in-plastic-deformation-3018939.aspx
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math
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Q. Explain the mechanism for dislocation in plastic deformation.
Ans. Stresses are acting on dislocation in a crystal that is known as stress field, due to these stress force is produce on another dislocations. Hence there is interaction between dislocations and salute atoms. In screw dislocation only shear stress is there but in edge dislocation all type i.e. tensile, compressive and shear stress field are present.
Dislocation Climb: The process of dislocation climb occurs by jump of atoms from the bottom row of extra half plane into adjacent vacancies. The dislocation climb is controlled by diffusion and activate by temperature. At elevated temperature dislocation climb increase and atoms moves from extra half plane i.e. known as positive climb. In negative climb a row of atoms are added in the extra half plane.
Dislocation Loop: Dislocation in crystals may be in straight lines, plane or loop, but the probabilities of line, plane dislocation are very less hence this dislocation takes the form of a curve or loop i.e. known as dislocation loops.
Jogs in Dislocation: Jogs is defined as the increase in length of dislocation line created by the intersection of dislocation. Jog or step is created when dislocation is move from one slip plane to another slip plane.
Cross Slip: The process where, by a screw dislocation glides into another slip plane having a slip direction in common with the original slip plane is known as cross slip. Cross slip occurs at higher stress than normal slip and occurs mostly in crystals with large number of slip systems, BCC and FCC structures have six and four plane of easy slip and there is more change for cross slip.
Frank Read Source: Slip dislocation present in a few numbers of crystals initially. But slip dislocation spread out throughout in the crystal immediately. Hence there is some mechani9sm which initiate these dislocations on a slip plane. The starting point of this process is known as Frank Read Source.
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s3://commoncrawl/crawl-data/CC-MAIN-2017-13/segments/1490218191396.90/warc/CC-MAIN-20170322212951-00023-ip-10-233-31-227.ec2.internal.warc.gz
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CC-MAIN-2017-13
| 1,972 | 7 |
https://research.chalmers.se/publication/?id=245969
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math
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Refined algorithms for hitting many intervals
Artikel i vetenskaplig tidskrift, 2017
Within a study of scheduling problems with gaps, Chrobak et al. (CIAC 2015) have shown how to find k points on the line that hit a maximum number of intervals, in a given family of n intervals, The problem is equivalent to finding k cliques
in an interval graph that cover a maximum number of distinct vertices. We give refined algorithms that run faster if the interval graph of the family is sparse.
scheduling with gaps
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s3://commoncrawl/crawl-data/CC-MAIN-2020-16/segments/1585370528224.61/warc/CC-MAIN-20200405022138-20200405052138-00538.warc.gz
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CC-MAIN-2020-16
| 507 | 5 |
https://backtracks.fm/resources/podcast-dictionary/sample+rate
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math
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Sample Rate Definition - What is Sample Rate?
In audio production the sample rate is the number of samples (or snapshots taken) per second obtained by a digital audio device. This measurement is expressed in hertz (Hz) or in thousands of hertz (kHz). Using this method, the standard sampling rate of a Compact Disc (CD) recording, which is 44,100 times per second would be expressed as 44100 Hz or 44.1 KHz. There is a trade off (which is sometimes reaches a point of diminishing returns for the particular audio use case) because increasing the sample rates generally increases the digital file size.
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s3://commoncrawl/crawl-data/CC-MAIN-2021-49/segments/1637964358469.34/warc/CC-MAIN-20211128043743-20211128073743-00532.warc.gz
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CC-MAIN-2021-49
| 601 | 2 |
http://www.solutioninn.com/business/managerial-accounting/standard-cost/stanton-company-is-planning-to-produce-2000-units-of-product
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math
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Stanton Company is planning to produce 2,000 units of product
Stanton Company is planning to produce 2,000 units of product in 2012. Each unit requires 3 pounds of materials at $6 per pound and a half-hour of labor at $14 per hour. The overhead rate is 70% of direct labor.
(a) Compute the budgeted amounts for 2012 for direct materials to be used, direct labor, and applied overhead.
(b) Compute the standard cost of one unit of product.
(c) What are the potential advantages to a corporation of using standard costs?
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s3://commoncrawl/crawl-data/CC-MAIN-2015-35/segments/1440645366585.94/warc/CC-MAIN-20150827031606-00068-ip-10-171-96-226.ec2.internal.warc.gz
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CC-MAIN-2015-35
| 518 | 5 |
https://www.cultureandreligion.com/html/z2019-01-25-cl.html
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math
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C as the Speed Limit
My post in the Face Book group:
A few days ago (01/20/2019) the suggestion was made the Cherenkov effect proves objects can move faster than the speed of light, c. The particles are moving at less than c but faster than the reduced speed of light in the medium A few years ago a massless neutrino was claimed to travel faster than c but having no mass that should not be a problem for relativity. However now (2015 nobel prize in physics) neutrinos have a very small mass but greater than zero.
Very large red shifts indicate faster than light but this was explained by the proposed rapid expansion of the fabric of space time (just to override the limit).
The link below about relativity (and the subsequent pages linked at the end of each) suggests the rule for speed of light as an absolute limit underlies Einstein's theories.
For example the Lorentz factor is the ratio for the observer's speed to 'c'.
Is there an agreement on an absolute speed limit?
If Einstein and his theories of relativity are based on an incorrect assumption about an absolute speed limit then do cosmologists need to revisit/replace space-time?
Are members of this group aware whether cosmologists have truly addressed this problem with 'c' as space/time seems to the basis for modern cosmology?
Hit back to go to previous page in history.
Select Cosmology to see other posts and comments to that group.
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s3://commoncrawl/crawl-data/CC-MAIN-2023-50/segments/1700679100508.53/warc/CC-MAIN-20231203193127-20231203223127-00228.warc.gz
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CC-MAIN-2023-50
| 1,404 | 11 |
https://fornoob.com/a-gas-with-an-initial-temperature-of-950-c-undergoes-the-process-shown-in-the-figure/
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math
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A gas with an initial temperature of 950 C undergoes the process shown in the figure .
What is the final temperature?(answer in k)
How many moles of gas are there?
thank uuuu in advance.....
Using the ideal gas law pV = nRT From your figure p = constant = 3atm and V1 =300cm^3
V2 = 100cm^3. If you take the ratio of condition 1 to 2 you get a relationship between the temperatures.
pV1 = nRT1 or nR = pV1/T1 for condition 2 nR = p*V2/T2 setting these equal
pV1/T1= pV2/T2 or T2 = T1*V2/V1 here T1 = 950+273 = 1223K And V2/V1 = 0.33333
So T2 = 1223/3 = 408K = 135degC
Now we can solve for n n = p*V/RT use either condition to get n = 3*1.013x10^5*300/10^6/(8.314*1223) = 8.97x10^-3 mol
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s3://commoncrawl/crawl-data/CC-MAIN-2022-21/segments/1652662604495.84/warc/CC-MAIN-20220526065603-20220526095603-00715.warc.gz
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CC-MAIN-2022-21
| 684 | 10 |
http://bricks.stackexchange.com/questions/tagged/manipulation+mindstorms
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math
|
LEGO® Answers Meta
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s3://commoncrawl/crawl-data/CC-MAIN-2014-35/segments/1408500800767.23/warc/CC-MAIN-20140820021320-00193-ip-10-180-136-8.ec2.internal.warc.gz
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CC-MAIN-2014-35
| 2,116 | 53 |
https://shaynly.com/compound-interest-calculator/
|
math
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Compound Interest Calculator
Online Compound Interest Calculator: Calculate Your Savings with Ease
Are you looking for a convenient and easy way to calculate the interest on your savings? Look no further than an online compound interest calculator. This powerful tool can help you make informed decisions about your investments and savings goals. In this article, we’ll explore what compound interest is, how it works, and why an online calculator can be an invaluable resource for managing your finances.
Table of Contents
What is Compound Interest?
Compound interest is the interest earned on the initial amount of money invested, as well as on any interest earned over time. In other words, compound interest is interest on interest. This means that your savings can grow at an exponential rate over time, as long as you continue to earn interest on your initial investment.
How Does Compound Interest Work?
To understand how compound interest works, let’s look at an example. Let’s say you invest $1,000 in a savings account that earns 5% interest per year. After one year, you would earn $50 in interest. However, if you reinvest that interest and continue to earn 5% interest on the original $1,000 plus the $50 in interest, you would earn $52.50 in interest the next year. This process continues, with your savings growing at an increasing rate over time.
Benefits of Using an Online Compound Interest Calculator
Using an online compound interest calculator can help you understand the impact of compound interest on your savings over time. Here are some of the benefits of using this tool:
Easy to Use
Online compound interest calculators are designed to be user-friendly, even for those who may not be comfortable with complex financial calculations. All you need to do is input your initial investment, interest rate, and time period, and the calculator will do the rest.
Calculating compound interest by hand can be time-consuming and prone to errors. With an online calculator, you can get accurate results in seconds, saving you time and frustration.
Different investments and savings accounts may offer different interest rates and compounding periods. An online calculator allows you to customize your calculations to fit your specific situation.
Helps with Financial Planning
By using an online compound interest calculator, you can see how different savings scenarios can impact your finances over time. This can help you make informed decisions about how much to save and where to invest your money.
How to Use an Online Compound Interest Calculator
Using an online compound interest calculator is easy. Here are the steps:
- Input your initial investment amount.
- Input your interest rate.
- Input the compounding period (e.g., monthly, quarterly, yearly).
- Input the time period (e.g., 5 years, 10 years, 20 years).
- Click “Calculate” to see your results.
Tips for Maximizing Your Savings with Compound Interest
Here are some tips to help you make the most of compound interest:
The earlier you start investing, the more time your savings have to grow. Even small investments made early on can lead to significant savings over time.
Reinvest Your Earnings
Reinvesting your earnings can help you maximize your savings. By earning interest on interest, your savings can grow at an exponential rate.
Consider a High-Interest Savings Account
A high-interest savings account can offer a better interest rate than a traditional savings account. This can help you earn more interest on your initial investment.
Consistency is key when it comes to saving and investing. By staying committed to your savings goals and regularly contributing to your investments, you can maximize your savings over time.
An online compound interest calculator is a valuable tool for anyone looking to manage their finances and maximize their savings. By calculating compound interest, you can gain insight into the impact of different savings scenarios and make informed decisions about how to achieve your financial goals. Remember to start early, reinvest your earnings, consider a high-interest savings account, and stay committed to your savings plan for the best results.
What is the formula for compound interest?
The formula for compound interest is A = P(1 + r/n)^(nt), where A is the total amount of savings, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time period in years.
How often should I compound my savings?
The compounding period depends on the specific investment or savings account. Some accounts compound interest monthly, while others compound interest quarterly or yearly. Check with your financial institution to determine the compounding period for your savings.
Is compound interest better than simple interest?
Compound interest is generally considered better than simple interest because it allows your savings to grow at an increasing rate over time. With simple interest, you only earn interest on the initial investment, whereas compound interest allows you to earn interest on both the initial investment and any interest earned over time.
Can I use an online compound interest calculator for investments other than savings accounts?
Yes, an online compound interest calculator can be used for any investment that earns compound interest, including bonds, stocks, and mutual funds.
Are online compound interest calculators accurate?
Yes, online compound interest calculators are typically accurate as long as you input the correct information. Be sure to double-check your inputs to ensure accurate results.
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s3://commoncrawl/crawl-data/CC-MAIN-2023-40/segments/1695233506399.24/warc/CC-MAIN-20230922102329-20230922132329-00486.warc.gz
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CC-MAIN-2023-40
| 5,633 | 42 |
https://thai.webike.net/en/review/article/740564
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math
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As per Title, we changed to NORMAL #45→#48→#50. I was concerned about AfterFire after using YOSHIMURA's Slip-on Silencer on my VTR1000F European Second Type Model, so I changed the Throw. #45→#48 is only somewhat improved AfterFire to some degree. #48→#50 feels the same. If it were #45→#50, the experience would feel different. Originally, the number of positions was set by moving up by 5, and when it is covered, it is said to be lowered by 2 to 3. PS is operating at 2-3/4 turn back, which is said to be NORMAL, but it is covered, and both FR are operating at 2 turn back. In fact, it would be better to adjust it with Exhaust GasChecker, but I don't have a favorite Motorcycle shop, so I'm on my own. I'm still wondering about AfterFire, so I'm wondering if I should try #55 next.
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s3://commoncrawl/crawl-data/CC-MAIN-2022-49/segments/1669446710900.9/warc/CC-MAIN-20221202082526-20221202112526-00585.warc.gz
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CC-MAIN-2022-49
| 795 | 1 |
https://demonstrations.wolfram.com/CounterintuitiveIntersectionOfTwoLineSegments/
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math
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Counterintuitive Intersection of Two Line Segments
Two towers of heights and are separated by a distance . From the top of each tower, a light beam is aimed at the base of the opposite tower. This Demonstration shows that the height of the intersection (red dot) of the two light rays does not depend on the distance separating the two towers. This result is sometimes called the "crossed ladders theorem".
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s3://commoncrawl/crawl-data/CC-MAIN-2023-40/segments/1695233511055.59/warc/CC-MAIN-20231003060619-20231003090619-00052.warc.gz
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CC-MAIN-2023-40
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https://forum.simutrans.com/index.php?topic=14991.0;all
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math
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Started by jamespetts, December 08, 2015, 12:31:28 AM
0 Members and 1 Guest are viewing this topic.
QuoteTo modify the work done economy issue, it might be worthwhile for players to be able to specify a maximum speed for each point to point journey in the schedule; I am planning on adding additional features to the schedule in any event.
QuoteTrying to average out the performance simply won't work because of the orders of magnitude difference between slow freight haulage and fast passenger haulage in fuel consumed per unit of distance.
QuotePart of the point of additional realistic complexities in Experimental is to force players to use realistic heuristic methods of estimating what the best solution is, rather than just calculating it mathematically as is possible (but much, much more tedious) in a simpler simulation.
Quote from: DrSuperGood on December 09, 2015, 11:17:06 PMWhich is why you use the rolling work done. You then ignore acceleration completely, equivalently giving you free acceleration. However it is not free, as you factor in realistic work done while accelerating to an inefficiency applied to rolling work done. This means it is free for your trains to decelerate and accelerate all the time, but instead you are paying slightly more for the work done per km travelled. This avoids the need for highly complex features like speed limits.
QuoteIn real life tens of thousands of hours are spent planning railways. Every day dozens of people work on railway schedules. There are no "heuristic methods" of building railways. There never were as even the very early ones would have had thousands of hours spent planning.People play because it is a game, not because it is several times harder to play than real life as you are one person. If Experimental was truly realistic, one person would struggle to even manage a single line.One would have to cancel such complexities out with autonomous managers, planners, and other features. Which might end up making a line is as simple as specifying two points, seeing if long term projected profit is positive and pressing confirm.
QuoteSo, if the per km costs for trailers are (almost) zero, it means that a 1 wagon train has the same per km cost as 100 wagon train ?
QuoteOr did you calculate the running costs for engines to include a fully loaded train of maximum length it can pull?
QuoteIn practice there are also maintenance tasks that have to be done after certain amount of km running. These should be accounted for too.
QuoteIn the meantime, if anyone else would like to start that discussion, it would be very worthwhile. This is the first time that we have had even an approximate cost balancing for Pak128.Britain (either Standard or Extended), and I am very grateful indeed to Dr. Supergood for the large amount of work that this must have entailed. Even though this may well be some way different from the final balance once the features are implemented in due course, this is still a significant achievement and advance for the pakset.
Quote(1) the planned way of simulating inflation allows the simulation of differential inflation, in which labour costs, fuel costs, ticket prices, materials costs and other things change over time independently of each other so that the changing relationships between these things can be simulated (which was important in reality, especially changes in labour costs);
Quote(2) (less importantly but still significantly) general inflation will prevent players accumulating large cash stockpiles early in the game which retain their value until the later part of the game (allowing, e.g., an 18th century canal empire to fund a 21st century airline).
Quote from: DrSuperGood on June 22, 2018, 08:30:53 PMThe only reason a cannel company would accumulate fortunes like my own company on the server is because the player who controls it lacks enough time to spend the money as fast as the company earns it.
QuoteDr SuperGood How would you like your feedback to the changes? I'm certain people are happy to share their savegames, write out their experiences and thoughts and/or show screenshots.
QuoteGoods: The system I use for goods is mixed trains across the map, connecting industries that are convenient or have high I/O. The trains are doing better although I still have trouble making lines profitable. Road and Naval sections incur losses. The goods network is neither complete nor well designed, so I doubt it's a representative of goods focused playing.
QuoteIn relation to the prices of goods - these are all set relative to passengers using historical data, so it would not be right to double or triple the prices. Work does need to be done at some point to improve the balance between producer and consumer industries, however.
Quotebut now the latter is 1/3 of the price of the former
QuoteYou can find my calculation of the fuel efficiency of all steam engines in the Steam physics calc.ods document in the sources folder:
QuoteIn terms of ship physics, we may need to look into this in more detail. Does anyone have any data against which the ship physics can be tested? The main thing about ship physics that is different from the physics of other vehicles is the "rolling" resistance (i.e., resistance in the water).
Quotethe rate of acceleration is of minimal importance. What is really important for aircraft and ships therefore is just the top speed, at which they will be travelling most of the time. In principle, it should be much easier to balance the physics for these than for rail vehicles (and, to a lesser extent, road vehicles).
QuoteI have been wondering about a speed cap feature: that should not in itself be excessively complicated to implement. However, one significant problem of a speed cap feature and also a weight dependent running costs feature is how to communicate the running costs to the player when the formula for calculating them is very complex. Have you any idea of a sensible and clear way of explaining these running costs in the user interface (and also of researching the relevant running costs for ships)?
QuoteFor aircraft, fuel consumption is often available as an hourly rate based on that aircraft's standard cruising speed. I have not found any more in-depth data than that. One of the difficulties of making the formula for calculating fuel costs more complex is that one needs more detailed research data, which are not always available. Certainly, so far as I can tell, for aircraft they are not readily available. Would it not be better to have ships' and aircraft's maximum speed to be their normal cruising speed and calculate fuel consumption on the assumption that they are travelling at this rate? Aircraft circling at airports already have a feature to reduce their per km cost on account of their lower speed in this situation.
Quotegive the kilograms of fuel consumed per hour per square foot of firegrate area
QuoteAssumptions about speed would be necessary for converting the data currently in this spreadsheet into a range or fuel consumption per kilometre, however. The original plan was to do this on the basis of an assumed average speed as a fraction of the multiple speed (perhaps 2/3rds). Do your calculations suggest that the actual average speed of trains varies so much that this would create real economic distortions in the game? If so, I should be interested to see these calculations.
QuoteAnother thing to bear in mind if one has a non-fixed fuel consumption per kilometre is that not only will the running costs vary with this, but so will the range of those vehicles whose maximum range is determined by fuel capacity (e.g. aircraft and steam locomotives - but not, e.g. horses). This would require a whole other layer of complexity.
QuoteGiven the intractable complexity of varying per km fuel consumption, do we perhaps need to do some modelling to calculate the real significance of this in an in-game setting to determine whether this is necessary, and, if it is, precisely how much depth is required for this?
QuoteI have never seen liters / Joule.
Quotebut that is the heat you get from burning them, not the mechanical work you get by using the fuel in engine
QuoteEfficiency also varies with RPM of engine.
QuoteAnd how is a player supposed to calculate the $/km ?
QuoteWhat we really need to model is the extent to which fully dynamic fuel efficiency calculation in so far as it can be implemented produces different results in game to static, averaged fuel efficiency per vehicle. For aircraft, for example, one would have to calculate, not only passenger loading, but luggage loading and the fuel weight necessary for the flight, which then reduces during the flight - a fantastically complex thing to calculate in itself. What is really necessary to understand is not whether these things are significant in reality in general, but rather whether they are so significant that it would be impossible to have any workable balancing using (averaged) real life figures without using dynamic rather than static fuel efficiency computation.
QuoteMy estimate of its thermal efficiency is 3.8%; it burns 31.75kg of coal per hour per square foot of firegrate area to produce the 167kW output, the coal having a calorific value of 8.12 kW/kG. The firegreate area is 17.1 sq. ft., so the total coal consumption is 542.9kg/hour.
Quote from: jamespetts on July 07, 2018, 12:15:22 AMA. Carlotti - as to side drag: this is an interesting thought. I did not write the physics code, and given its complexity and my lack of knowledge of the details of physics, I should be reluctant to change it; I also do not know any figures for calculating side drag so as to be able to modify the code even if i were inclined to do so.
QuoteFirstly, I suspect that there is an error somewhere apropos air resistance: between rolling resistance and air resistance, rolling resistance is by far the most significant. Air resistance is trivial at low speeds, and minor at moderate speeds. It is more significant at higher speeds, and significant enough that streamlining makes a difference at >90mph (but below that speed, streamlining has no significant effect in real life). I am not sure where the error is in the calculations (one or more off by orders of magnitude error(s)?) as I did not write the physics code.
QuoteI am not sure where the error is in the calculations (one or more off by orders of magnitude error(s)?) as I did not write the physics code.
QuoteSecondly, for the purposes of discerning the economic (rather than purely physical) significance of different fuel consumption rates, we have to compare not just loaded and unloaded fuel consumption, but dynamic calculation of fuel consumption (as you suggest) against static averaging of fuel consumption (as originally planned) to see whether this differs significantly in significant enough ways in enough cases to justify the additional complexity that this would entail. For example, taking your figures of 37kW vs. 32kW (I pause to wonder whether we should really be measuring energy, i.e. kWh, rather than power (kW)) for loaded vs. unloaded, what we need to do is to compare, not 37kW with 32kW, but rather the average of the two, 34.5kW being applied at all times as against the figure being calculated dynamically and varying between 37kW and 32kW.
Quote from: DrSuperGood on July 07, 2018, 07:08:03 AMI think all the "but below that speed, streamlining has no significant effect in real life" talk refers to everything now days being streamlined in the first place and hence below those speeds the drag is minimal that improving streamlining further has limited effect.
QuoteProblem is that the average could vary in so many ways... Raising the speed of the train would raise the average due to additional drag. Adding more coaches would raise the average due to additional rolling resistance. Using a vehicle with a better drag coefficient, eg, a smaller steam engine, might lower the average due to less drag losses.
QuoteAnd I must confess personally, that standing at a platform 1-2 m from the edge while a fast (160 km/h) train is passing by is not a good idea. However I spoke to a guy who works near the tracks, and said that there is huge difference in the blow between non-streamlined engines (boxy shape), and streamlined (pendolino and similar). But the biggest blow was from the engine, the rest of the train made much less turbulence.
QuoteI have no idea what the formula should be, save that increasing power increases with the square of increasing speed.
QuoteEven for aircraft, where almost half the gross weight can be fuel on long-haul flights, the extra weight doesn't seem to affect fuel consumption much, based upon this graph for a 777.
Quote from: DrSuperGood on July 15, 2018, 07:24:25 PMThere are different tiers simulation to consider. At present I would say using averaged efficiency with dynamic power. This would still mean that moving an empty freight train or a train with few coaches saves over a full freight train or one with many coaches. Like wise lower speeds would give savings due to less drag than higher speeds. It would also remain simple enough to calculate in real time I hope because the maths involved for energy efficiency with speed often become quite complex and use non trivial functions. There may be cases where running very slowly is too economical as a result, however one must remember that a competitor just has to run slightly faster and the line loses all business so in practice I do not see it being abused that much out of desperate or miser people. Running fast will never be too economical due to drag, even if in real life the engine is more efficient than it should be at those speeds.
Quotea steam engine of any size still needs just one driver and one fireman
Quotea higher powered vehicle would almost always have a better power to weight ratio than a lower powered vehicle or else it would be of no use at all compared to the lower powered vehicle
QuoteAside from higher weight, it is not clear why more powerful vehicles are likely to have higher rolling resistance.
Quote from: DrSuperGood on July 16, 2018, 05:51:06 AMThe late stage steam engines I thought required at least 2 firemen at any given time, with express services like the Mallard requiring replacement firemen on standby (4-6 firemen in teams of 2 swapped out using a corrodor tender). This is because a fireman can only shovel so much coal per hour for so long. Now if the standby firemen should be getting paid when not shovelling coal is another question.
QuoteReplacement firemen were also parked at stops along the way for some stopping express services. As such even if only 1-2 firemen were on the locomotive at any given time, one might still need many more employed to man the engine with them being swapped out at stops. Obviously staff management and swapping is an extremely complex system. As such having averages might be better. For sure more powerful steam locomotives would average more staff to run.
QuoteNot true at all. Power to weight ratio has to do with performance, a metric only cared about when speed is critical such as motor racing or express services. What drives the use of large vehicles is efficiency, the cost per ton per km hauled.
QuoteDepends on type of vehicle. In the case of road vehicles the rolling resistance is not linear with weight as more weight causes the tires to deform more and hence generate more rolling resistance when moving along the road than stiff wheels like rails will.
Quote from: jamespetts on August 07, 2018, 12:07:09 PMthe difficulty is: (1) a single dynamic model (i.e., one in which fuel consumption changes with power output but fuel efficiency does not) is likely to lead to worse fidelity to real values than a static averaged system;
Quote from: ACarlotti on August 07, 2018, 04:37:01 PMI don't believe this can be true. If the dynamic model is used in the code, then it would still be possible to use the current static costs by setting all the dynamic (i.e. new) costs to zero. We are not throwing away the existing cost mechanisms, merely adding new ones that can be used in parallel.
QuoteIf there are any cases where a completely static model truly is better than the simple dynamic model, then we can continue effectively using that.
QuoteThis get-out might not work for trains, but I think trains are where the simple dynamic system will give the greatest improvements over the static system. Indeed, I don't think you have responded to my scenario in reply #34 (cost savings due to switching to a more efficient locomotive should be greater for longer/heavier train).
QuoteI think it is currently impossible to produce accurate (or close to accurate) running costs for all four combinations of:1. A diesel locomotive with high energy costs2. An electric locomotive with low energy costsand:a. A short train of (say) 2 coal wagonsb. A long train of (say) 20 coal wagonsClearly replacing 1b with 2b should lead to a greater reduction in running costs than replacing 1a with 2a, but at present these two replacements cannot produce different reductions in costs.So this suggests that some account of actual energy consumption is needed in the long run.
QuoteI think the best way forward is to modify the code to allow for dynamic running costs, and then try them out. If it does turn out to give worse operational costs, then we can revert to the current model without any further changes to the code (perhaps even leaving dynamic costs as an option for other paksets).
Quote from: jamespetts on December 26, 2019, 12:51:28 AMthus removing nearly all incentive from players to use all but the most powerful vehicles for every possible task
Quote from: Qayyum on December 26, 2019, 08:14:38 AMFor steam engines, would boiler pressure be a good measure to calculate how much force a locomotive with a set number of carriages can take, assuming the gradient is zero degrees?
Quote from: jamespetts on December 26, 2019, 12:50:29 PMThe simplest formula would be simply to take the current speed as a proportion of the maximum physical speed and apply that proportion to the fuel consumption so that, if a vehicle is not accelerating nor decelerating and travelling at 50% of its maximum physical speed, its fuel consumption would be 50% of what the stage 1 formula gives us.
Quote from: Qayyum on December 26, 2019, 03:36:12 PMOne complexity in all this is aircraft. Aircraft data generally show fuel burnt per hour and their maximum cruise speed, but their actual maximum speeds are almost never given and may not be obtainable without damaging the airframe and therefore destroying the aircraft.
Quote from: DrSuperGood on December 26, 2019, 05:37:45 PMI think at high speeds, traveling at half the speed uses much less than half the power due to how drag works.
QuoteOne could in theory calculate aircraft per tile cost at time of take off based on their weight and the distance to destination and maintain that for the rest of the flight.Of course this does not solve the problem of getting the data in the first place.
Quote from: jamespetts on December 26, 2019, 06:33:23 PMAre you able to suggest a workable algorithm to use here?
Quote from: jamespetts on December 26, 2019, 06:33:23 PMHow would calculating it in advance assist?
Quote from: Phystam on December 26, 2019, 06:44:13 AMFor resistance:According to physics, running resistance consists of 3 terms as follows:R= C + D*v + E*v^2,where C is rolling, D is viscous, E is inertial resistance.
Quote from: jamespetts on December 30, 2019, 11:04:25 AMGiven the discussions here, there may be some merit to allowing players to limit the speed of vehicles in the schedule, but this will need careful consideration.
Quote from: Vladki on December 30, 2019, 09:39:44 PMAbout the schedules. I think it would be enough to improve the current system with two changes- flag if the latest departure time slot was used or not (probably we already have this to show green/cyan colored lines that miss their slots?)- way to adjust the tolerable delay, and let trains depart if they are within tolerance, and the previous slot was not used.
Quote from: Spenk009 on January 01, 2020, 09:34:56 PMI had originally intended to reply in the thread here, but this is probably better suited to this thread.May I suggest limiting the power in the schedule? If given the option to limit the power in percentage of total convoy power or percentage of top speed [power reduced accordingly to reach the new top speed]). There is a relation to power efficiency that can be generalized and extrapolated accordingly. In combination with the quoted post by vladki, if a delay is registered the convoy allows for a set delayed max power or automatically uses 100% of its theoretical power.
Quote from: Spenk009 on January 01, 2020, 09:34:56 PMMay I suggest limiting the power in the schedule? If given the option to limit the power in percentage of total convoy power or percentage of top speed [power reduced accordingly to reach the new top speed]). There is a relation to power efficiency that can be generalized and extrapolated accordingly. In combination with the quoted post by vladki, if a delay is registered the convoy allows for a set delayed max power or automatically uses 100% of its theoretical power.
Quote from: Ranran on January 02, 2020, 12:31:49 AMAlso, setting a low speed limit for lines where the vehicle has a high top speed but never reaches the top speed of convoy due to the low speed of the track, thereby reducing fuel consumption, is probably a more realistic simulation.
Quote from: DrSuperGood on January 02, 2020, 01:05:19 AMThis should make no difference as once it is at top speed it stops burning power to accelerate and so becomes more economical anyway?
Quote from: jamespetts on August 26, 2020, 06:13:48 PMand I suspect that it will have been done for rail and road vehicles, too, but I am not sure.
Quote from: Ranran on August 26, 2020, 06:56:41 PMI think in order for this to work well, we first need to completely separate the labor cost from the runnning cost.
# Coal, per kg1=1750,150,1800,100,1850,70,1870,60,1890,60,1900,50,1920,70,1940,75,1950,80,2000,70# Petrol, per centilitre2=1890,25,1900,20,1920,25,1930,26,1940,50,1950,40,1960,42,1970,45,1973,90,1980,80,1990,85,2000,90,2008,95,205,85# Electricity, per kw3=1890,40,1900,35,1920,36,1930,30,1950,30,1960,32,1973,40,1980,40,1990,45,2000,50,2020,55
# Example for a steam locomotive# Coal, kg/km at calibration_speedfuel=10calibration_speed=75minimum_fuel_consumption_at_speed=30
# Example for a small early 'bus# Petrol, cl/km at calibration_speedfuel=20 # Equivalent to 14 miles per gallon, or 0.2l/kmcalibration_speed=50minimum_fuel_consumption_at_speed=15
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CC-MAIN-2023-06
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https://planetmath.org/RingOfEndomorphisms
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math
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ring of endomorphisms
Let be a ring and let be a right -module.
and multiply them
Instead of writing endomorphisms as functions, it is often convenient to write them multiplicatively: we simply write the application of the endomorphism as . Then the fact that each is an -module homomorphism can be expressed as:
for all and and . With this notation, it is clear that becomes an --bimodule.
Now, let be a left -module. We can construct the ring in the same way. There is a complication, however, if we still think of endomorphism as functions written on the left. In order to make into a bimodule, we need to define an action of on the right of : say
But then we have a problem with the multiplication:
In order to make this work, we need to reverse the order of composition when we define multiplication in the ring when it acts on the right.
There are essentially two different ways to go from here. One is to define the multiplication in the other way, which is most natural if we write the endomorphisms as functions on the right. This is the approach taken in many older books.
The other is to leave the multiplication in the way it is, but to use the opposite ring to define the bimodule. This is the approach that is generally taken in more recent works. Using this approach, we conclude that is a --bimodule. We will adopt this convention for the lemma below.
Let be a ring with an identity element. Then and .
Define by .
A calculation shows that (functions written on the left) from which it is easily seen that the map is a ring homomorphism from to .
We must show that this is an isomorphism.
If , then . So is injective.
Let be an arbitrary element of , and let . Then for any , , so .
The proof of the other isomorphism is similar. ∎
|Title||ring of endomorphisms|
|Date of creation||2013-03-22 14:04:26|
|Last modified on||2013-03-22 14:04:26|
|Last modified by||mclase (549)|
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s3://commoncrawl/crawl-data/CC-MAIN-2021-17/segments/1618039563095.86/warc/CC-MAIN-20210422221531-20210423011531-00308.warc.gz
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CC-MAIN-2021-17
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https://studysoup.com/tsg/statistics/38/statistics-for-engineers-and-scientists/chapter/318/6-8
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math
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- 6.8.1E: The article “Improved Bioequivalence Assessment of Topical Dermatol...
- 6.8.2E: The article “Estimation of Mean Arterial Pressure from the Oscillom...
- 6.8.3E: A dry etch process is used to etch silicon dioxide (Si02) off of si...
- 6.8.4E: In an experiment to determine the effect of ambient temperature on ...
- 6.8.5E: Two formulations of a certain coating, designed to inhibit corrosio...
- 6.8.6E: Two microprocessors are compared on a sample of six benchmark codes...
- 6.8.7E: The compressive strength, in kilopascals, was measured for concrete...
- 6.8.8E: The article "Effect of Granular Subbase Thickness on Airfield Pavem...
- 6.8.9E: A crossover trial is a type of experiment used to compare two drugs...
- 6.8.10E: A group of eight individuals with high cholesterol levels were give...
- 6.8.11E: The management of a taxi cab company is trying to decide if they sh...
- 6.8.12E: The following MINITAB output presents the results of a hypothesis t...
- 6.8.13E: The following MINITAB output presents the results of a hypothesis t...
Solutions for Chapter 6.8: Statistics for Engineers and Scientists 4th Edition
Full solutions for Statistics for Engineers and Scientists | 4th Edition
In hypothesis testing, a region in the sample space of the test statistic such that if the test statistic falls within it, the null hypothesis cannot be rejected. This terminology is used because rejection of H0 is always a strong conclusion and acceptance of H0 is generally a weak conclusion
Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.
An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.
Components of variance
The individual components of the total variance that are attributable to speciic sources. This usually refers to the individual variance components arising from a random or mixed model analysis of variance.
The probability of an event given that the random experiment produces an outcome in another event.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.
A square matrix that contains the variances and covariances among a set of random variables, say, X1 , X X 2 k , , … . The main diagonal elements of the matrix are the variances of the random variables and the off-diagonal elements are the covariances between Xi and Xj . Also called the variance-covariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.
The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.
Another name for factors that are arranged in a factorial experiment.
A subset of effects in a fractional factorial design that deine the aliases in the design.
A probability distribution for a discrete random variable
A concept in parameter estimation that uses the variances of different estimators; essentially, an estimator is more eficient than another estimator if it has smaller variance. When estimators are biased, the concept requires modiication.
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
The variance of an error term or component in a model.
Fraction defective control chart
See P chart
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CC-MAIN-2021-25
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https://piersonforcongress.com/sin-30-1-2/
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math
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In trigonometry, occasionally we require students to learn the unique values the sine, cosine and tangent at 30, 45, 60 degrees, due to the fact that these room nice values. But I wonder if these facts are described or carry out teachers just say "https://piersonforcongress.com/sin-30-1-2/imager_6_8701_700.jpgsin(30) = 1/2 , memorise this!"https://piersonforcongress.com/sin-30-1-2/imager_6_8701_700.jpg
Here's my explanation.(I am not certain if castle teach this in schools, but I'll look up the textbook the following time ns visit well-known bookstore.)
Show that sin(30) = Opp/ Hyp = 1/2.
You are watching: Sin 30 = 1/2
1) draw a new line dividing the right-angle into 30 and 60 degrees respectively.
Now triangle ABD and also BCD are both isosceles. In fact, BCD is an equilateral triangle.
2) Hence, CD= BD = BC
3) since BD lies ~ above the isosceles triangle ABD, BD= AD.
4) break up sin(30) = opp/hyp = BC / AC = 1/2
5) For great measure, making use of pythagoras theorem, we have the right to now display that
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http://www.globmaritime.com/maritech/item/10295-weather-observation-true-and-apparent-wind
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math
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A new resolution on energy-efficiency regulation of ships was adopted at the 65th session of the Marine Environment Protection Committee (MEPC) of the International Maritime Organization (IMO),...
The apparent wind is the vector sum of the true wind and the reciprocal of the vessel's course and speed vector. Since wind vanes and anemometers measure apparent wind, the usual problem aboard a vessel equipped with an anemometer is to convert apparent wind to true wind. There are several ways of doing this. Perhaps the simplest is by the graphical solution illustrated in the nofollowing example:
On a moving ship, the direction of the true wind is always on the same side and aft of the direction of the apparent wind. The faster the ship moves, the more the apparent wind draws ahead of the true wind.
A solution can also be made in the nofollowing manner without plotting: On amaneuvering board, label the circles 5, 10, 15, 20, etc., from the center, and draw vertical lines tangent to these circles. Cut out the 5:1 scale and discard that part having graduations greater than the maximum speed of the vessel. Keep this sheet for all solutions. (For durability, the two parts can be mounted on cardboard or other suitable material.) To find true wind, spot in point 1 by eye. Place the zero of the 5:1 scale on this point and align the scale (inverted) using the vertical lines. Locate point 2 at the speed of the vessel as indicated on the 5:1 scale. It is always vertically below point 1. Read the relative direction and the speed of the true wind, using eye interpolation if needed.
A tabular solution can be made using Table 30, Direction and Speed of True Wind in Units of Ship's Speed. The entering values for this table are the apparent wind speed in units of ship's speed, and the difference between the heading and the apparent wind direction. The values taken from the table are the relative direction (right or left) of the true wind, and the speed of the true wind in units of ship's speed. If a vessel is proceeding at 12 knots, 6 knots constitutes one-half (0.5) unit, 12 knots one unit, 18 knots 1.5 units, 24 knots two units, etc.
One can also find apparent wind from the true wind, course or speed required to produce an apparent wind from a given direction or speed, or course and speed to produce an apparent wind of a given speed from a given direction.Such problems often arise in aircraft carrier operations and in some rescue situations.
When wind speed and direction are determined by the appearance of the sea, the result is true speed and direction. Waves move in the same direction as the generating wind, and are not deflected by Earth's rotation. If a wind vane is used, the direction of the apparent wind thus determined can be used with the speed of the true wind to determine the direction of the true wind by vector diagram.
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s3://commoncrawl/crawl-data/CC-MAIN-2013-20/segments/1368705575935/warc/CC-MAIN-20130516115935-00013-ip-10-60-113-184.ec2.internal.warc.gz
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CC-MAIN-2013-20
| 2,862 | 7 |
https://edurev.in/test/9087/RRB-Group-D-Mock-Test-2
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math
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100 Questions MCQ Test - RRB Group D Mock Test - 2
RRB Group D Mock Test - 2 for Railways 2023 is part of Railways preparation. The RRB Group D Mock Test - 2 questions and answers have been prepared
according to the Railways exam syllabus.The RRB Group D Mock Test - 2 MCQs are made for Railways 2023 Exam.
Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for RRB Group D Mock Test - 2 below.
Solutions of RRB Group D Mock Test - 2 questions in English are available as part of our course for Railways & RRB Group D Mock Test - 2 solutions in
Hindi for Railways course.
Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free. Attempt RRB Group D Mock Test - 2 | 100 questions in 90 minutes | Mock test for Railways preparation | Free important questions MCQ to study for Railways Exam | Download free PDF with solutions
Father is 5 yrs older than the mother and the mother's age now is thrice the age of the daugther. The daughter is now 10 yrs old. What was the father's age when the daughter was born?
Detailed Solution for RRB Group D Mock Test - 2 - Question 1
Let the daughter's age be x ⇒ Mother's age = 3x ⇒ Father's age = 3x + 5 According to question, x = 10 ⇒ Father's age = 3(10) + 5 = 35 years But, when daughter was born Father's age = (35 - 10) years = 25 years
Consider the following statem-ents (As per provisional popul-ation data of Census 2011)?
A. India's Literacy rate is 74.04%.
B. India's Males literacy rate is 82.14%.
C. India's Female literacy rate is 65.46%.
D. Kerala state has the highest Literacy Rate with 93.91%.
E. Orissa state has the Lowest Literacy Rate with 63.82%.
Which of the statements given above is/are incorrect?
All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. How is E related to D?
The average annual income (in Rs.) of certain argicultural workers is S and that of other workers is T. The number of agricultural workers is 11 times that of other workers. Then the average monthly income (in Rs.) of all the workers is:
Detailed Solution for RRB Group D Mock Test - 2 - Question 6
Let the number of other workers be x
Then, number of agricultural workers = 11x
Total number of workers = 12x
∴ Average monthly income
The sheet of paper shown in the figure (X) in each problem, is folded to form a box. Choose from amongst the alternatives (I), (II), (III) and (IV), the boxes that are similar to the box that will be formed.
Detailed Solution for RRB Group D Mock Test - 2 - Question 18
The figure (X) is similar to fig. V. The cubes in fig. (II) and (IV) have the shaded face adjacent to the face bearing a square. Hence, the cubes in these two fig. can't be formed. Therefore, only cubes in fig. (I) and (III) can't be formed
While facing east you turn your left and walk 10 metres, then turn to your left and walk 10 metres and now you turn 45’ towards your right and walk straight to cover 25 metres. Now in which direction are you from your starting point?
Consider the following statements about accetylene: 1. It is used in welding industry 2. It is a raw material for preparing plastics. 3. It is easily obtained by mixing silicon carbide and water. Of these statements
Which is the first State in India to launch High Risk Pregnancy (HRP) Portal which helps in early identification of high-risk pregnant cases, ensures timely referral of such cases to the civil hospitals for further management and delivery by specialists?
In a certain year, the population of a certain town was 9000. If in the next year the population of males increases by 5% and that of the females by 8% and the total population increases to 9600, then what was the ratio of population males and females in that given year?
Abhijit started a business investing Rs 70000. Anuja joined him after 6 months with an amount of Rs 105000 and Sunil joined them with Rs 1.4 lakhs after 6 months. The amount of profit earned should be distributed in what ratio among Abhijit, Anuja and Sunil respectively, three yrs after Abhijit started the business?
A 100 metres long train running at the speed of 60 km/hr crosses another train running in the opposite directions in 9 secs. If the length of the second train was 150 metres, what was the speed of the second train in km/hr?
Which country has developed a new underwater surveillance network which will help its submarines to accurately track target vessels and will protect its interests in the Indian Ocean and South China Sea?
Below is given statement followed by three conclusions numbered I, II and III. You have to consider the statement and the following conclusions and decide which of the conclusions is follows in the statement : Statements :a. Some tents are buildings. b. Some buildings are chairs. c. Some chairs are windows. Conclusions:I. Some windows are buildings. II. Some windows are tents. III. Some chairs are tents.
Navjivan express from Ahmedabad to Chennai leaves Ahmedabad at 6.30 a.m. and travels at 50 km/hr towards Baroda situated 100 km away. At 7.00 a.m. Howrah-Ahmedabad express leaves Baroda towards Ahmedabad and travels at 40 km/hr. At 7.30 a.m. Mr, shah, the traffice controller at Baroda realises that both the trains are running on the same track. How much time does he have to avert a head-on collision between the two trains?
Below are the statements followed by four conclusions numbered I,II,III and IV. You have to consider the statements and the following conclusions and decide which of the conclusion(s) follows the statement(s).
Statements : a. Some lions are goats. b. Some goats are horses. c. Some horses are flowers. Conclusions : I. Some lions are horses. II. Some goats are flowers. III. Some lions are flowers. IV. Some horses are lions.
Detailed Solution for RRB Group D Mock Test - 2 - Question 89
All the three Premises are Particular Affirmative (I - type). Therefore, no conclusion follows from them.
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CC-MAIN-2023-50
| 6,115 | 40 |
https://ecommons.cornell.edu/handle/1813/6038
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math
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Polynomial and Abstract Subrecursive Classes
We define polynomial time computable operator. Our definition generalizes Cook's definition to arbitrary function inputs. Polynomial classes are defined in terms of these operators; the properties of these classes are investigated. Honest polynomial classes are generated by running time. They possess a modified Ritchie-Cobham property. A polynomial class is a complexity class if it is honest. Starting from the observation that many results about subrecursive classes hold for all reducibility relations (e.g. primitive recursive in, elementary recursive in), which were studied so far, we define abstract subrecursive reducibility relation. Many results hold for all abstract subrecursive reducibilities.
computer science; technical report
Previously Published As
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s3://commoncrawl/crawl-data/CC-MAIN-2021-21/segments/1620243991537.32/warc/CC-MAIN-20210513045934-20210513075934-00419.warc.gz
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CC-MAIN-2021-21
| 812 | 4 |
http://www.expertsmind.com/library/z-score-for-the-smallest-and-largest-observations-52184460.aspx
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math
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Given the following data set: 10, 15, 7, 1, 4, 6, 6, 0. Calculate the z-score for the smallest and largest observations. Is either of these observations unusually large or unusually small?
Out of 1000 people surveyed, 600 belonged to urban areas and rest to rural areas. Among 500 who visited other states , 400 belonged to urban areas. Test 5 % level of signifi
You calculate that their mean monthly rent is $613 and their standard deviation is $96. What are the degrees of freedom for a one-sample -statistic?
The number of cell phone minutes used by high school seniors follows a normal distribution with a mean of 500 and a standard deviation of 50. What is the probability that a
Is this enough evidence to support Union's position? Use significance level of a = 0.05. You may suppose the mean annual salaries are normally distributed.
A husband and wife make their decisions independently of each other, and then they compare their decisions. If they agree, the decision is made; if they do not agree, then fur
The p-value approach was to be used. A sample of size 49 gave a sample mean of 508. Given that σ = 30.2, and α = 0.01, find the p-value, and write your conclusion.
State the general relationship between consumption Y and disposable income X in (a) exact linear form and (b) stochastic form. (c) Why would you expect most observed values
A silver dollar is flipped 100times, with the following results: Heads =57, tails=43. What test should be used to determine if this is a fair coin?
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CC-MAIN-2020-45
| 2,012 | 16 |
http://onlinelibrary.wiley.com/doi/10.1002/0470011815.b2a15085/abstract
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math
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Published Online: 15 JUL 2005
Copyright © 2005 John Wiley & Sons, Ltd
Encyclopedia of Biostatistics
How to Cite
Smith, W. 2005. Mean. Encyclopedia of Biostatistics. 5.
- Published Online: 15 JUL 2005
The sample arithmetic mean is the average of a set of numerical measurements. For a random variable, the analog is the expectation. In a weighted mean, the individual observations may be given different weights before averaging, perhaps because they represent groups of different sizes. The geometric mean is obtained by averaging logarithms (of positive-valued measurements) and then taking antilogarithms. The harmonic mean is obtained by taking reciprocals before averaging and then taking the reciprocal of the average. The relationship between the arithmetic, geometric, and harmonic means is described.
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CC-MAIN-2017-13
| 809 | 7 |
https://teacheradvisor.org/6/activities/chunk_6-7-7-7_OUR
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math
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This Problem Set is a part of the Lesson 7, Unit 7, Grade 6. Practice Problems: In the context of elevation, what would |\text-7| feet mean? 2. Match the the statements written in English with the mathematical statements.The number -4 is a distance of 4 units away from 0 on the number line. The number -63 is more than 4 units away from 0 on the number line. The number 4 is greater than the number -4. The numbers 4 and -4 are the same distance away from 0 on the number line.
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| 478 | 1 |
https://www.naturalphilosophy.org/site/abstract/?abstractid=7454
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math
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Year: 2018 Pages: 4
Dark matter was invented to explain the velocities of the stars at the edge of our galaxy and to make sure that Newton's gravity equation was still valid. Georges L. Le Sage suggested that gravity has a shielding property that explains how gravity works. Quirino Majorana did several experiments to prove that this property was valid. The author claims that the velocity of the stars in the galaxy indicates that there is a shielding effect and that it shows that we don't need dark matter and that Newton's universal gravitational constant is neither universal nor is it a constant.
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s3://commoncrawl/crawl-data/CC-MAIN-2024-10/segments/1707947474669.36/warc/CC-MAIN-20240226225941-20240227015941-00032.warc.gz
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https://kozzi.ca/products/singapore-math-dimensions-math-grade-k-essential-set
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math
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Singapore Math's Dimensions Math® Complete Sets include the core material for an entire school year. These are the minimum components needed to successfully use the curriculum. A books are for the first half of the year, and B books are for the second half of the year.
The Grade K Complete Set includes:
Dimensions Math® Textbook KA
Dimensions Math® Textbook KB
Dimensions Math® Workbook KA
Dimensions Math® Workbook KB
Dimensions Math® Teacher’s Guide KA
Dimensions Math® Teacher’s Guide KB
Dimensions Math® Tests K
Use left/right arrows to navigate the slideshow or swipe left/right if using a mobile device
Choosing a selection results in a full page refresh.
Press the space key then arrow keys to make a selection.
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https://www.physicsforums.com/threads/wind-and-torque.192286/
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math
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1. The problem statement, all variables and given/known data The posture of small animals may prevent them from being blown over by the wind. For example, with wind blowing from the side, a small insect stands with bent legs; the more bent the legs, the lower the body, and the smaller the angle . The wind exerts a force on the insect, which causes a torque about the point where the downwind feet touch. The torque due to the weight of the insect must be equal and opposite to keep the insect from being blown over. For example, the drag force on a blowfly due to a sideways wind is Fwind = cAv2, where v is the velocity of the wind, A is the cross-sectional area on which the wind is blowing, and c 1.3 N·s2 · m-4 http://img153.imageshack.us/img153/5154/fig087cq6.gif [Broken] If the blowfly has a cross-sectional side area of 0.10 cm2, a mass of 0.072 g, and crouches such that = 30.4°, what is the maximum wind speed in which the blowfly can stand? (Assume that the drag force acts at the center of gravity.) 2. Relevant equations Since the body is at rest, I presume the only two relevant equations are Total Torque = 0 and Total Force = 0. 3. The attempt at a solution First off, thanks for any future help provided. I do appreciate it. My main issue is that I feel like my free body diagram is incorrect. Here is what I drew: http://img292.imageshack.us/img292/3930/windtorquesh7.jpg [Broken] However, I don't know if that is actually the correct way to draw this out. I don't really know how to calculate torque in this example because I am not given a length to use as r in the equation Torque = rFsin(theta). Thus, that makes me suspect that my free body diagram is incorrect. In addition, the free body diagram doesn't feel correct because the pivot point, the downwind legs, are at a lower level than the center of mass. I did great with the torque problems involving arms holding milk cartons, but nothing about this problem seems familiar. Could anyone shine some light on this? Thank you.
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| 2,007 | 1 |
http://mathhelpforum.com/number-theory/210807-find-full-points-given-lines.html
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math
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I have to find full points in given lines in given intervals using congruences.
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Originally Posted by Kiiefers
I have to find full points in given lines in given intervals using congruences. 1. I assume that you speak Latvian(?)
2. I don't know what you mean by "full points"
3. If and only if you want to get points with integer coordinates - here they are for the 1st equation: (-1, 0), (2, 1), (4, 5), (7, 32)
Yeah I speak latvian.
And that's right I meant points with integer coordinates.
I don't want answers, I want to know how to solve, but thanks anyway.
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https://german.stackexchange.com/questions/23616/can-lehrer-be-a-woman
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math
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Let me repeat here a quote from this question:
Für diese richtige Antwort auf die Frage gönnt Ihnen Ihr Lehrer ein kurzes Nicken. Sie nehmen die Auszeichnung bescheiden entgegen und die nächste Aufgabe in Angriff. Nicht schlecht für den Anfang.
There, I commented –apparently erroneously– that Lehrer couldn't be a female. I do agree that in many sort of texts, say in a contract (der Lehrer soll blah blah), you could find Lehrer, which as noun is always masculine, as standing for teachers of both genera. Also the reference given to me in the comments points out at a different kind of noun: an adjectivized noun which moreover has jeder before it.
In the previous quote, it is another case, though. First, it is singular, and secondly the text appears to exhibit a narrative character, so if the teacher would be female, the author would likely denoted it as such. So, I know I'm most likely wrong in my comment "The teacher is not a woman", but I'd like to know why.
- Can somebody explain to me why Lehrer could stand for a female teacher?
Edit. If somebody is still curious about what the author of that book intended by Lehrer the word has been replaced in another edition by Dozent.
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http://www.usf.edu/engineering/cse/people/korzhova-valentina.aspx
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math
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Valentina N. Korzhova joined the Department of Computer Science and Engineering as Instructor I in Fall 2016. From 2012 to 2016 she was a visiting instructor in the Department. Dr. Korzhova received her Ph.D. in Computer Science and Engineering from the University of South Florida in 2010. During 2010-2012 she joined the Information Systems department at Prince Mohammad Bin Fahd University (PMU) as an assistant professor, KSA.
Valentina's general research interest lies in the fields of computer vision, image processing, and pattern recognition. Her additional interests include algorithm optimizations and mathematical modeling with applications in industry, medicine, and information systems. Valentina has published over 50 journal and conference papers.
During 2010-2012, Dr. Korzhova served in the Student Academic Support Center at PMU, participated in breast cancer support at PMU, and mentored students during their Assessment III research project. She was a Member of the Business College Grade Appeal committee and a Member of the Research and Professional Development Symposium Committee at PMU. She received Certificates of Appreciation at Prince Mohammad Bin Fahd University in 2010-2012, Graduate Certificate "Statistical Data Analysis" at USF in 2008.
• Operating Systems
• Theory Automata
• Artificial Intelligence
• Theory of Algorithms
• Program Design
• Introduction to Programming
• Computers & Impact on Society
• Computer Organizations
• Image Processing
PhD in Computer Science and Engineering, University of South Florida (2010)
PhD in Mathematics and Physics, T. G. Shevchenko Kiev State University, Ukraine (1982)
MS in Computer Science, University of South Florida (2006)
BS in Computer Science, University of South Florida (2003)
Honors and Awards:
• Certificate: Certified Online Educator at USF
• Certificate of Appreciation, Prince Mohammad Bin Fahd University
• Graduate Certificate "Statistical Data Analysis"
• Graduate Multidisciplinary Scholarship
• Recipient of Mozelle Beverly Endowed Scholarship
• Recipient of Excellence in Tutoring Award
• Recipient of SPJC Hazel Webb Scholarship Award
• Advising and Mentoring students at USF
• Reviewing the book: Mathematical theory of development. A course of lectures (ARIAL)
• Reviewing journal papers (Elsevier)
• Serving Student Academic Support Center, College of Business, PMU
• Participation in breast cancer support
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http://www.transtutors.com/questions/tts-simultaneous-equation-207943.htm
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math
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Solution to be delivered in 24 hoursafter verification
There is a typo in the book, it should say 3-to-6 decoder, but I still don't know how to do this problem. Could you guys help me please? Thanks.
I've been stuck on this problem for hours.The task is to find the voltage equations and respective voltages for nodes A and B. I dont have the equations (or this would be easy
its problem number 7.1 in Electric Circuits 9th edition by Nilsson/Reidel v=160e^(-10t)V i=8e^(-10t)A given the current and voltage are both at a time greater than 0, find... 1
I will be running speaker wire from my A/V receiver through the wall, up to the ceiling, across the ceiling and back down the inside of the wall. I have questions about how best
I dont know how to find w or f.
1. Use the midpoint formula to find the midpoint of a line segment with endpoints:
(2, -3) and (8, -1) 2. Algebraically find the x and y intercepts of the equation -2x + 3y = 8
The Question is from basic engineering circuit analysis ninth edition.the question is on page 544 question 10.28
)2 = 36
b. Y = 3X2
c. Y = X2 + X
d. (X-1)2 + (Y-8)2 = 16 Part II
Find the equation for each of the following items below:
a. A line that passes through (6,2) and has a slope of 2.
Write simultaneous integrodifferential loop equations for theelectrical networks shown in the figure, in terms of the indicatedmesh currents. Then use the derivative of each mesh current
Consider the difference equation given as follows: y(n) = 0.5 y(n-1) + x(n) + x(n-1), n > 0and y(n) = 0 for n < 0. using MATLAB Find and plot y(n) for the following case: x(n) = r
Physics: Electricity &...
other required materials: None...
1 Introduction to...
Spectra of sinusoids;...
Ac Machine Ac machine is an machine which is driven by alternating current. AC machine motor consist of 2 basic parts which are: * Stator * Rotor...
Normal 0 false false false EN-US X-NONE X-NONE ALTERNATORS Construction and Working Principle The electrical machine, which generates ac, is known as...
Normal 0 false false false EN-US X-NONE X-NONE GENERAL PRINCIPLES OF TRANSMISSION AND RECEPTION The speech or music consists of a series of...
Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4 ATOMIC STRUCTURE Atom: According to modern theory, the basic constituent of...
COMMUNICATION ENGINEERING Meaning of Communication Engineering Communication means transmission of data or information . Communication is also defined...
Computer and Microprocessor: Computer is a programmable electronic apparatus which receives stores and manipulates data (by making calculations or...
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http://okjmv.com/?tag=maths
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math
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Corbettmaths – A video that shows how to calculate a percentage of an amount with the use of a calculator.
This tutorial looks at finding fractions of amounts where the numerator is not 1. This is the second in a series of two videos on finding fractions of amounts.
Dividing amounts into a ratio is not only easy, it can be done quickly with only a few steps. You will be a master at this in only a few minutes through learning on …
People around the world have asked me this and similar problems. Learn how to solve using only geometry (and a little bit of algebra). There are many other …
Dr. Manishika Jain in this lecture explains factor analysis. Introduction to Factor Analysis: Factor Loading, Factor Scoring & Factor Rotation. NET Psychology …
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| 760 | 5 |
https://ci.nii.ac.jp/naid/110006484470
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math
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An Approach to Viscosity Calculations of Molten Iron and Its Dilute Binary Alloys
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Accurate theoretical values of viscosities are not available at present. Therefore, in this paper we propose an approach to viscosity calculations of liquid metals and dilute binary alloys. Using the expression for liquid metals which has been derived by one of the authors, the calculated value of viscosity for molten iron at 1600℃ is equal to 4.7cP. From the expression and experimental data, we present an attempt to calculate viscosities of dilute binary alloys from simple parameters. That is, viscosities of dilute iron-based binary alloys are approximately proportional to the square root of the product of atomic weight and melting point (°K), (MT_m)^<1/2> of alloying elements. Viscosities of molten iron due to one atomic pecent of various alloying elements at 1600℃ are expressed as follows: [numberical formala] where, K≈3.5×10^<-5> (from experimental data). We have obtained same relation for liquid mercury and its dilute amalgams as well. Consequently, if the value K is obtained experimentally, the approximate values for viscosities of dilute alloys can be estimated.
- Transactions of JWRI
Transactions of JWRI 3(1), 27-31, 1974-02
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| 1,260 | 5 |
https://www.physicsforums.com/threads/rate-related-problem-with-irregular-cone-and-and-time-delay.549309/
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math
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A water glass (10 cm diameter at the top, 6 cm diameter at the bottom, 20 cm in height) is being filled at a rate of 50 cm^3/min. Find the rate of change of the height of the water after 5 seconds. V=1/3(3.14) r^2h I'm a little unsure how to approach this problem for two reasons. A) The glass is not a 'proper' cone shape(it has a 'flat' bottom of 6cm), in the problems I have been solving dealing with cones there has been only one radius to deal with. B) The problem is asking for the rate of change after a period of time. In most problems I have been asked to solve for some variable in the equation( ie ...find the rate of change after a certain height has been reached in the container) Any suggestions would be appreciated.
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http://www.chegg.com/homework-help/us-department-treasury-maintains-learning-vault-wwwtreasuryd-chapter-31-problem-2wq-solution-9780073402864-exc
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The U.S. Department of Treasury maintains a learning vault at www.treasurydirect.gov. Go to this site and search for “faq about public debt” to answer the following questions:
a. What percent of the debt is held in each of the following: bills, notes, bonds, inflation-indexed notes, and inflation-indexed bonds?
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https://www.javatpoint.com/what-is-10-percent-of-60
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math
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What is 10% of 60?
Concept of Percentage
A number or ratio that can be expressed as a fraction of 100 is known as a percentage in mathematics. To calculate a percentage of a number, divide it by the whole and then multiply the result by 100. As a result, a percentage means a portion out of 100. The term 'per cent' signifies a part of 100. Percentages are dimensionless numbers as they do not have units.
For example, grades earned in any subject are often measured in terms of academic percentages. Let's consider a student, who scored 78% on his or her final test. This percentage is calculated based on the student's overall grade point average (GPA) across all subjects.".
Formula of Percentage
To calculate the percentage, we need to divide the part (value) by the whole (total value) and then multiply the result by 100.
The formula for percentages is: (Value/Total value) * 100
For example, if we need to find what percentage of 5 is 1, we can use the following calculation:
(1/5) * 100 = 0.2 * 100 = 20%
Hence, 20% of 5 is 1.
What is 10% of 60?
The number 60 indicates the total, and we want to find 10% of it. We must first convert 10% to a decimal or fraction to get the answer. By dividing a percentage by 100, it may be stated as a fraction. In this situation, ten divided by 100 yields the fraction 10/100, or 0.1.
Now that we have 0.1 as our decimal representation of 10%, we can multiply that by 60 to get the answer. We get six by multiplying 0.1 by 60. As a result, 10% of 60 equals 6.
10% of 60 = 10/100*60 = 6
It's crucial to remember that this formula is simply one of several ways to get a number's 10%. Several strategies can provide the same outcome. For instance, to calculate the percentage, we may divide 60 by 10. 60 divided by 10 gives us 6, demonstrating that 10% of 60 equals 6.
Practical Application of Percentage
In conclusion, the query "What is 10% of 60" offers us a chance to investigate the idea of percentages and their practical uses. Knowing how percentages relate to fractions and decimals, we can quickly compute percentages and use this information in situations like shopping discounts, tip computations, tax determinations, and interest rate evaluations. Accurate percentage calculations are a crucial skill that enables us in various real-world circumstances, such as figuring out an item's reduced price, giving a fine tip at a restaurant, or making wise financial decisions.
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http://filesfromtheworld.net/irodov-general-physics_r2/
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Irodov general physics PDF Gratuit
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http://www.chegg.com/homework-help/questions-and-answers/7-circuit-given-draw-small-signal-equivalent-circuit-include-effect-early-voltage-equivale-q1695387
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math
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7) For the circuit given above, draw the small signal equivalent circuit. Include the effect of Early Voltage in your equivalent. Mark each resistor source output clearly. In your equivalent circuit, also show where the base, emitter and collector terminals are.
8) Using the equivalent circuitry derived above, derive an expression for Rib, the input resistance looking into the base.Show transcribed image text
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https://paramahamsavishwananda.com/satsang-questions
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Here's how it works:
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Inserted: 29 may 2018
Last Updated: 21 nov 2019
Journal: J. Differential Equations
In this paper we study the vanishing inertia and viscosity limit of a second order system set in an Euclidean space, driven by a possibly nonconvex time-dependent potential satisfying very general assumptions. By means of a variational approach, we show that the solutions of the singularly perturbed problem converge to a curve of stationary points of the energy and characterize the behavior of the limit evolution at jump times. At those times, the left and right limits of the evolution are connected by a finite number of heteroclinic solutions to the unscaled equation.
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https://www.rcsb.org/structure/6FGS
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Regulation of the Activity in the p53 Family Depends on the Organization of the Transactivation Domain.Krauskopf, K., Gebel, J., Kazemi, S., Tuppi, M., Lohr, F., Schafer, B., Koch, J., Guntert, P., Dotsch, V., Kehrloesser, S.
(2018) Structure 26: 1091-1100.e4
- PubMed: 30099987
- DOI: https://doi.org/10.1016/j.str.2018.05.013
- Primary Citation of Related Structures:
- PubMed Abstract:
Despite high sequence homology among the p53 family members, the regulation of their transactivation potential is based on strikingly different mechanisms. Previous studies revealed that the activity of TAp63α is regulated via an autoinhibitory mechanism that keeps inactive TAp63α in a dimeric conformation. While all p73 isoforms are constitutive tetramers, their basal activity is much lower compared with tetrameric TAp63. We show that the dimeric state of TAp63α not only reduces DNA binding affinity, but also suppresses interaction with the acetyltransferase p300. Exchange of the transactivation domains is sufficient to transfer the regulatory characteristics between p63 and p73. Structure determination of the transactivation domains of p63 and p73 in complex with the p300 Taz2 domain further revealed that, in contrast to p53 and p73, p63 has a single transactivation domain. Sequences essential for stabilizing the closed dimer of TAp63α have evolved into a second transactivation domain in p73 and p53.
Institute of Biophysical Chemistry and Center for Biomolecular Magnetic Resonance, Goethe University, Frankfurt am Main, Germany.
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https://ccssmathanswers.com/180-days-of-math-for-fifth-grade-day-178-answers-key/
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math
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By accessing our 180 Days of Math for Fifth Grade Answers Key Day 178 regularly, students can get better problem-solving skills.
180 Days of Math for Fifth Grade Answers Key Day 178
Directions: Solve each problem.
Subtract 78 from 143.
Subtraction is one of the four basic arithmetic operations in mathematics. We can observe the applications of subtraction in our everyday life in different situations. For example, when we purchase fruits and vegetables for a certain amount of money say Rs. 200 and we have given an Rs. 500 note to the vendor. Now, the vendor returns the excess amount by performing subtraction such as 500 – 200 = 300. Then, the vendor will return Rs. 300.
Now we need to calculate the above-given question:
we need to subtract 78 from 143.
143 = Minuend; 78 = Subtrahend; 65 = Difference
Therefore, the answer is 65.
In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life. The major application we can see in multiplication tables.
In arithmetic, the multiplication of two numbers represents the repeated addition of one number with respect to another. These numbers can be whole numbers, natural numbers, integers, fractions, etc. If m is multiplied by n, then it means either m is added to itself ‘n’ number of times or vice versa.
The formula for multiplication:
The multiplication formula is given by:
Multiplier × Multiplicand = Product
– The multiplicand is the total number of objects in each group
– A multiplier is the number of equal groups
– Product is the result of multiplication of multiplier and multiplicand
Therefore, 76×75 is equal to 5680.
453 ÷ 25 = __________
The division is breaking a number into an equal number of parts. The division is an arithmetic operation used in Maths. It splits a given number of items into different groups.
There are a number of signs that people may use to indicate division. The most common one is ÷, but the backslash / and a horizontal line (-) is also used in the form of Fraction, where a Numerator is written on the top and a Denominator on the bottom.
The division formula is:
Dividend ÷ Divisor = Quotient (or) Dividend/Divisor=quotient
Therefore, 453 ÷ 25 = 18
How many digits are in 593,001?
Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number. When we represent the number in general form, the position of each digit will be expanded. Those positions start from a unit place or we also call it one’s position. The order of place value of digits of a number of right to left is units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on.
There are six digits in the number 593,001.
1 is in the unit’s place.
0 is in the tens place
0 is in the hundreds place
3 is in the thousands place
9 is in the ten thousand place
5 is in the hundred thousand places.
Write 90% as a fraction.
To convert 90% to a fraction follow these steps:
Step 1: Write down the per cent divided by 100 like this
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. As 90 is an integer, we don’t have numbers after the decimal point. So, we just go to step 3.
Step 3: simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (greatest common divisor) between them. In this case, GCD(90,100) = 10. So,
(90 ÷ 10)/(100 ÷ 10)
We can write as 90% as 9/10.
20 + 20 ÷ 4 = ____________
The above-given mathematical computation can be written as:
Therefore, the answer is 25.
– First, divide 4 and 128 then we get quotient 32
– Now once multiply 4 with 32 then we get 128. If we check like this then we can easily find out the answer.
Calculate the volume of a rectangular prism that is 4 m by 2 m by 3 m.
In mathematics, the prism is a three-dimensional figure in which the faces of the solid are rectangles. It has six rectangular faces. The rectangular prism is also known as the cuboid. It has a rectangular cross-section. The opposite faces of the rectangular prism are of equal measure. If the length, width, and height are measures of the rectangular prism, then the volume of the rectangular prism is given by the formula,
The volume of the rectangular prism, V = Length × Width × Height cubic units
The above-given units: 4m, 2m, 3m
V=24 cube units.
True or false?
The diameter of a circle is three times its radius.
The diameter of a circle is four its radius.
The diameter of a circle is calculated as D=2R
where R is the radius of the circle.
How much more did it rain in June than in May?
The millimetres of rain in june=60
The millimetres of rain in may=25
The millimetres of rain in June than in may=X
Therefore, 35 millimetres more rain in June than in May.
What is the probability of rolling 3 on a 6-sided die?
Probability: Probability means Possibility. It states how likely an event is about to happen. The probability of an event can exist only between 0 and 1 where 0 indicates that event is not going to happen i.e. Impossibility and 1 indicates that it is going to happen for sure i.e. Certainty.
The higher or lesser the probability of an event, the more likely it is that the event will occur or not respectively. For example – An unbiased coin is tossed once. So the total number of outcomes can be 2 only i.e. either “heads” or “tails”. The probability of both outcomes is equal i.e. 50% or 1/2.
So, the probability of an event is Favorable outcomes/Total number of outcomes. It is denoted with the parenthesis i.e. P(Event).
P(Event)=N(Favourable outcomes)/N(Total outcomes)
When 6-sided dice are rolled then total outcomes are 6 and
Sample space is [1, 2, 3, 4, 5, 6]
Probability of getting a 3 on 6-sided dice = favourable outcomes/total outcomes
P(getting a 3)=1/6
Complete the chart by rounding the number 837,482 to the specified place.
Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
There are some basic rules that need to be followed for rounding numbers.
– We first need to know what our rounding digit is. This digit is the one that will ultimately be affected.
– After this, we need to check the digit to the right of this place which will decide the fate of the rounding digit.
– If the digit to the right is less than 5, we do not change the rounding digit. However, all the digits to the right of the rounding digit are changed to 0.
– If the digit to the right is 5 or more than 5, we increase the rounding digit by 1, and all the digits to the right of the rounding digit are changed to 0.
Rounding the number nearest to ten: Rounding numbers to the nearest ten means we need to check the digit to the right of the tens place, that is the one’s place.
The above-given number is 837,482. Check the number in one’s place, the number in the one’s place is less than 5 so the number in the tens place won’t change and the number in the one’s place becomes zero. Thus, the number is 837,480
– Likewise, we need to round the numbers in hundreds, thousands, ten thousand, hundred thousands.
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CC-MAIN-2023-50
| 7,322 | 79 |
https://www.spotlightmetal.com/automated-design-of-conformal-cooling-channels-a-936206/
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math
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Thermal Topology Optimization Automated Design of Conformal Cooling Channels
With the use of conformal cooling channels, rather than straight ones, cycle time of the die casting process can be shortened, and the quality of the parts can be improved. But how can you find the ideal geometry of the channels?
Within the overall objective of the Digital Cell vision, Bühler strives for a process cycle time reduction of 40%. In order to reach this ambitious goal, fundamental consideration in the design process of dies related to the thermal management must be done. The use of conformal cooling channels can shorten the cycle time of the die casting process and improve the quality of the part.
Cooling is a very important aspect of die casting, as the cooling phase accounts for a large percentage of the casting cycle. Also, the conditions, under which the cast part solidifies and cools down have a large influence on the quality of the part. That is why it is important to carefully consider the cooling of part and mold when designing a die casting die.
With the rise of metal additive manufacturing (AM), it has become feasible to 3D print die casting dies (or parts of them), including cooling channels from the beginning. In that way, the channels are no longer constrained to follow straight paths. Using conformal cooling channels, cooling rates can be increased, and the part surface temperature can be distributed more evenly. This improves both cycle time and part quality.
Obviously, the space of possible channel designs is considerably larger with AM than with conventional manufacturing of the die. Hence, designing a cooling system that fully exploits the freedom of design can be very difficult and time consuming. For that reason, different approaches have been taken to develop computational tools to assist with the design task, or even to have the channels designed automatically.
Density-Based Topology Optimization
Density-based topology optimization was first introduced in structural optimization. The optimization problem is formulated as a material distribution problem: A certain amount of material is available to be distributed in the design domain, such that a predefined objective function, e.g. the compliance of the structure, is optimized. The design domain is divided into finite elements, each of which is characterized by a relative density value between 0 and 1, where 0 stands for void regions and 1 for regions that are filled with material. Densities between 0 and 1 are interpreted as composite materials whose properties are interpolated as functions of the density. In structural optimization, this is primarily done for Young’s modulus or the elasticity tensor. The element densities are the design variables, which can be optimized using a gradient-based algorithm. In the context of a thesis, density-based topology optimization was utilized for the design of cooling channels.
In the problem discussed here, the geometry of the cast part is given. The design domain is a box that fully encloses the part geometry. The domain is divided into a mesh of brick-shaped elements. For each element, the thermal conductivity is interpolated analogously to Young’s modulus in structural optimization. Here the Solid Isotropic Material with Penalization (SIMP) model is used. SIMP implicitly penalizes intermediate densities with the aim of driving the densities to 1 or 0. For each element interface, the convection coefficient is interpolated from the density difference across the interface. A temperature field is computed via a stationary thermal finite elements analysis.
The design variables are modified iteratively using the Method of Moving Asymptotes (MMA). For each iteration, the objective function, which penalizes deviations of the part surface temperature from an ideal value, is evaluated. Also, the gradients of the objective function and the constraint functions, with respect to the design variables, are computed. This is done using the adjoint method. From all these values, the next design point is computed via MMA.
Now, the question at hand is: How can cooling channels be obtained with this approach? Two possible solutions were investigated: optimization constraints and post-processing.
With MMA, it is relatively simple to add multiple constraints to the optimization problem. Consequently, different constraint functions were defined, based on a few requirements expected to be satisfied by proper cooling channels. It was the intent of this approach, that the optimization would directly generate a channel design. However, this did not work. The algorithm did not manage to satisfy the constraint functions on the entire domain. There always remained areas, where the constraints were not fulfilled. The main reason for this seems to be, that the investigated constraints added an individual constraint function for each finite element. Because of this, the number of constraints became too large for proper handling by MMA.
Since the constraint functions did not lead to success, the following approach was taken: The optimization algorithm was used to optimize the element densities, followed by a post-processing procedure. The process is illustrated with a simple example in the image gallery. The optimization algorithm yields a design with regions of low density close to thicker segments of the part. At the border of these regions, a cooling surface is generated. Up to this point, the entire procedure is automated. The final cooling channels are now drawn manually on the cooling surface.
A stationary thermal analysis of the design shows that the resulting part surface temperature is close to the desired value on most of the part surface. The presented approach makes some simplifying assumptions, for example that the temperature field in the die can be sufficiently approximated based on a steady-state thermal analysis, where the design-dependent convection boundary conditions are imposed using a simple interpolation scheme. Nevertheless, the resulting designs seem plausible in that the cooling system approaches the thicker regions of the part more closely than thinner ones and simulation results are satisfactory. The method may be used to obtain a first estimate of the optimal cooling channel design and incorporate into a comprehensive design tool, which can contribute in the long run to a more efficient design process with positive impact on the performance of die casting cells.
*Lukas Sägesser is Master Student at ETH Zürich. This work was carried out as part of a Bachelor Thesis, “Density-Based Topology Optimization of Conformal Cooling Channels” at the Engineering Design and Computing Laboratory (EDAC), ETH Zürich in collaboration with Bühler.
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CC-MAIN-2022-27
| 6,765 | 15 |
https://www.wileyindia.com/fourier-analysis.html/
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math
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|Remarks||:||Exclusively distributed by Ane Books|
Dr. Stade has written this book for a course in Fourier Analysis at the junior/senior/beginning graduate level. After searching unsuccessfully for a book that covered the topics he wished to discuss in the way he thought they should be presented, the author decided to prepare his own text. The topics addressed in this work are presented using a cause and effect approach, i.e. the L2 point of view is referred to in the context of Fourier analysis; therefore, students will be better able to appreciate and understand these ideas having seen where they orientated from and what necessitated them. Exercises and examples are provided at the end of each chapter.
· Fourier Coefficients and Fourier Series.
· Fourier Series and Boundary Value Problems.
· L2 Spaces: Optimal Contexts for Fourier Series.
· Sturm-Liouville Problems.
· A Splat and a Spike.
· Fourier Transforms and Fourier Integrals.
· Special Topics and Applications.
· Local Frequency Analysis and Wavelets.
Intended as an upper-level Fourier analysis text for junior/senior undergraduate or introductory graduate math majors/students; appropriate for students in engineering and the sciences; also as a reference guide/self-study for professionals (engineers, scientists, and mathematicians); college libraries.
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s3://commoncrawl/crawl-data/CC-MAIN-2017-47/segments/1510934806086.13/warc/CC-MAIN-20171120164823-20171120184823-00347.warc.gz
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CC-MAIN-2017-47
| 1,336 | 11 |
http://www.emis.de/journals/BAG/vol.51/no.1/11.html
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math
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Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 51, No. 1, pp. 147-153 (2010)
On the depth of graded rings associated to Lex-segment ideals in $K[x,y]$
A. V. JayanthanDepartment of Mathematics, Indian Institute of Technology Madras, Chennai 600036, India
Abstract: In this article, we show that the depths of the associated graded ring and fiber cone of a lex-segment ideal in $K[x,y]$ are equal.
Keywords: Lex-segment ideals, associated graded ring, fiber cone, Rees algebra, Cohen-Macaulay
Full text of the article:
Electronic version published on: 27 Jan 2010. This page was last modified: 28 Jan 2013.
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CC-MAIN-2018-30
| 636 | 9 |
https://www.jiskha.com/questions/1352174/how-many-moles-are-present-in-25ml-of-0-1m-of-na2co3
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math
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I am assuming you intended to write 0.1 M and not 0.1 m. M stands for molarity; m stands for molality. Chemistry is more exact than writing sentences with no cap and formulas with no caps. CO, Co, and co all mean different things. May I suggest you find the caps key on your keyboard and use it.
mols = M x L = ?
analysis of a mixture of carbonate and bicarbonate: I did an experiment where 2.306g of unknown was diluted with distilled water to 250ml. Then 3 25mL samples of this unknown were titrated with .0663 M HCl and end point volumes
a solution of HCL is approximately 0.1M and has to be standardized . 1.234g Na2CO3 are dissolved to make 100ml of solution. 20mL of this solution are titrated with the HCL solution, requiring 31.3mL for the second equivalence
Sodium carbonate reacts with nitric acid according to the following equation: Na2CO3+2HNO3-->2NaNO3+CO2+H2O a. how many moles of Na2CO3 are required to produce 100.0 g of NaNO3? b. if 7.50g of Na2CO3 reacts, how many moles of
A 1.213g sample of an unknown weak monoprotic acid was titrated to the endpoint with 27.25mL of a 0.3016M NaOH Calculate: -the number of moles of base reacted. -the number of moles of acid originally present. -the molar mass of
Question: An unknown mass of (NH4)2CO3 is mixed with 4g of NaOH and dissolved in 100cm3 of water,which results a clear solution.Gasses are removed by heating the final solution. 2 parts of 25cm3 of final solution is taken and one
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CC-MAIN-2018-39
| 1,450 | 7 |
https://katinalindaa.com/dermatology/how-do-you-find-moles-of-solute-from-molality.html
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math
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How do you calculate moles of solute from Molality?
- Write the equation for calculating molality: molality = moles(solute) ÷ mass(solvent in kg)
- Rearrange equation to find moles(solute): …
- Identify the solute and solvent that make up the solution: solute = sodium chloride = NaCl. …
- Calculate moles of solute : moles(solute) = molality × mass(solvent in kg)
How can I calculate the moles of solute?
The number of moles of solute = mass of solute ÷ molar mass of solute, where mass is measured in grams and molar mass (defined as the mass of one mole of a substance in grams) is measured in g/mol.
How do you find the moles of a solution with molarity?
The molarity (M) of a solution is the number of moles of solute dissolved in one liter of solution. To calculate the molarity of a solution, you divide the moles of solute by the volume of the solution expressed in liters.
How do you find molar mass from molality?
Use the freeing point depression (ΔTf) to calculate the molality of the solution. Then use the molality equation to calculate the moles of solute. Then divide the grams of solute by the moles to determine the molar mass.
What is the mole formula?
If you know the particles, moles, or grams of a substance, you can calculate the other two measurements by using the following equation: 1 mole = 6.022 × 1023 particles/mol = formula weight expressed in grams. … The mass of one mole (6.02 X 1023) of chromium atoms is 51.9961 grams.
How do you find the molar mass of a solute with molarity?
The equation for molarity is: Molarity = moles of solute/liters of solution. If you know the molarity (concentration) of a solution and the total volume of the solution (make sure it is in liters), you can determine the number of moles of solute. You may then need to convert the moles of solute to grams.
Is molarity and molality the same?
An important distinction between molality and molarity is the difference between a solution and a solvent. Molarity is the ratio of the moles of a solute to the total liters of a solution. … Molality, on the other hand, is the ratio of the moles of a solute to the kilograms of a solvent.
How do you calculate the molality of a solution?
The formula for molality is m = moles of solute / kilograms of solvent. In problem solving involving molality, we sometimes need to use additional formulas to get to the final answer. One formula we need to be aware of is the formula for density, which is d = m / v, where d is density, m is mass and v is volume.
How do you convert uL to L?
uL↔L 1 L = 1000000 uL.
How do you get GL from mol L?
To convert to g L-1 you multiply the concentration by the molar mass; = 0.118 mol L-1 x 55.9 g mol-1 = 6.60 g L-1 (3 s.f.)
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CC-MAIN-2022-05
| 2,723 | 23 |
https://kamui-phe.com/usa-online-casino/volatility-deutsch.php
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math
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Übersetzung im Kontext von „low-volatility“ in Englisch-Deutsch von Reverso Context: low volatility. Übersetzung im Kontext von „volatility“ in Englisch-Deutsch von Reverso Context: price volatility, market volatility, low volatility, volatility adjustment, volatility. „volatility“, dt. Schwankung, Unbeständigkeit) ist ein aus der Physik stammender Begriff, der dazu dient, die Unbeständigkeit der Parteipräferenzen einer.
Übersetzung für "volatility" im DeutschÜbersetzung im Kontext von „volatility“ in Englisch-Deutsch von Reverso Context: price volatility, market volatility, low volatility, volatility adjustment, volatility. Übersetzung für 'volatility' im kostenlosen Englisch-Deutsch Wörterbuch und viele weitere Deutsch-Übersetzungen. volatility - Wörterbuch Englisch-Deutsch. Ben needs to learn how to control his volatility before it gets him into serious trouble. volatility nnoun: Refers.
Volatility Deutsch Navigation menu VideoIntroduction to the Black-Scholes formula - Finance \u0026 Capital Markets - Khan Academy English Concerns relating to European sovereign debt and the impact of quantitative easing efforts increased volatility. Another priority concerns the volatility of the prices of raw materials. Alle Rechte vorbehalten. She considers two companies:. It's Eurolige Kevin.Hart of an asset's future activity based on its option prices. Bitcoin Wallet Empfehlung is calculated as the square root of variance by determining the variation between each data point relative to the mean. It is effectively a gauge of future bets investors and traders are making on the direction of the markets or individual securities. English Examples Translations. Volatility represents how large an asset's prices swing around the mean price - it is a statistical measure of its dispersion of returns. There are several ways to measure volatility, including. Englisch-Deutsch-Übersetzungen für volatility im Online-Wörterbuch kamui-phe.com (Deutschwörterbuch). About The Volatility Foundation is an independent (c) (3) non-profit organization that maintains and promotes open source memory forensics with The Volatility Framework. kamui-phe.com English-German Dictionary: Translation for volatility. English-German online dictionary developed to help you share your knowledge with others. The main idea behind these two models is that volatility is dependent upon past realizations of the asset process and related volatility process. This is a more precise formulation of the intuition that asset volatility tends to revert to some mean rather than remaining constant or moving in monotonic fashion over time.
When there is a rise in historical volatility, a security's price will also move more than normal. At this time, there is an expectation that something will or has changed.
If the historical volatility is dropping, on the other hand, it means any uncertainty has been eliminated, so things return to the way they were.
Depending on the intended duration of the options trade, historical volatility can be measured in increments ranging anywhere from 10 to trading days.
By using Investopedia, you accept our. Your Money. Personal Finance. Your Practice. Popular Courses. Part Of. Volatility Explained.
Trading Volatility. Options and Volatility. Table of Contents Expand. What is Volatility? How to Calculate Volatility. Other Measures of Volatility.
Real World Example of Volatility. Implied vs Historical Volatility. Key Takeaways Volatility represents how large an asset's prices swing around the mean price - it is a statistical measure of its dispersion of returns.
There are several ways to measure volatility, including beta coefficients, option pricing models, and standard deviations of returns. Volatile assets are often considered riskier than less volatile assets because the price is expected to be less predictable.
Volatility is an important variable for calculating options prices. Article Sources. Investopedia requires writers to use primary sources to support their work.
These include white papers, government data, original reporting, and interviews with industry experts. We also reference original research from other reputable publishers where appropriate.
You can learn more about the standards we follow in producing accurate, unbiased content in our editorial policy.
Compare Accounts. The offers that appear in this table are from partnerships from which Investopedia receives compensation. Related Terms Standard Deviation The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
It is calculated as the square root of variance by determining the variation between each data point relative to the mean.
Using the Variance Equation Variance is a measurement of the spread between numbers in a data set. Investors use the variance equation to evaluate a portfolio's asset allocation.
Definition Historical Volatility HV Historical volatility is a statistical measure of the dispersion of returns for a given security or market index realized over a given period of time.
Portfolio Variance Portfolio variance is the measurement of how the actual returns of a group of securities making up a portfolio fluctuate.
It is often used to determine trading strategies and to set prices for option contracts. Partner Links. Related Articles.
Financial Analysis Standard Error of the Mean vs. Not only the volatility depends on the period when it is measured but also on the selected time resolution.
The effect is observed due to the fact that the information flow between short-term and long-term traders is asymmetric. As a result, volatility measured with high resolution contains information that is not covered by low resolution volatility and vice versa.
Some authors point out that realized volatility and implied volatility are backward and forward looking measures, and do not reflect current volatility.
To address that issue an alternative, ensemble measures of volatility were suggested. One of the measures is defined as the standard deviation of ensemble returns instead of time series of returns.
Using a simplification of the above formula it is possible to estimate annualized volatility based solely on approximate observations.
Suppose you notice that a market price index, which has a current value near 10,, has moved about points a day, on average, for many days.
The rationale for this is that 16 is the square root of , which is approximately the number of trading days in a year The average magnitude of the observations is merely an approximation of the standard deviation of the market index.
Volatility thus mathematically represents a drag on the CAGR formalized as the " volatility tax ". Realistically, most financial assets have negative skewness and leptokurtosis, so this formula tends to be over-optimistic.
Some people use the formula:. Despite the sophisticated composition of most volatility forecasting models, critics claim that their predictive power is similar to that of plain-vanilla measures, such as simple past volatility especially out-of-sample, where different data are used to estimate the models and to test them.
From Wikipedia, the free encyclopedia. Retrieved 1 June Journal of Risk and Financial Management. Journal of Empirical Finance. Journal of Derivatives.
Journal of Finance. Journal of Forecasting. International Economic Review. Journal of Portfolio Management 33 4 , Free Press.
Hedge Funds Review. Retrieved 26 April New York Times. Financial markets. Primary market Secondary market Third market Fourth market.
Common stock Golden share Preferred stock Restricted stock Tracking stock. Authorised capital Issued shares Shares outstanding Treasury stock.
Electronic communication network List of stock exchanges Trading hours Multilateral trading facility Over-the-counter. Alpha Arbitrage pricing theory Beta Bid—ask spread Book value Capital asset pricing model Capital market line Dividend discount model Dividend yield Earnings per share Earnings yield Net asset value Security characteristic line Security market line T-model.
Algorithmic trading Buy and hold Contrarian investing Day trading Dollar cost averaging Efficient-market hypothesis Fundamental analysis Growth stock Market timing Modern portfolio theory Momentum investing Mosaic theory Pairs trade Post-modern portfolio theory Random walk hypothesis Sector rotation Style investing Swing trading Technical analysis Trend following Value averaging Value investing.
Technical analysis. Breakout Dead cat bounce Dow theory Elliott wave principle Market trend. Hikkake pattern Morning star Three black crows Three white soldiers.
Average directional index A.Krypto Börse Deutschland include white papers, government data, Spiele Kostenlos De reporting, and interviews with industry experts. This number is without a Buchungszeiten Berliner Sparkasse and is expressed as a percentage. Your Practice. Volatility is also used to price options contracts using models like Black-Scholes or binomial tree Cherry Casino. Average directional index A. Two instruments with different volatilities may have the same expected return, but the instrument with higher volatility will have Scratch2cash swings in values over a given period of time. Options and Volatility. Thus, we can report daily volatility, weekly, monthly, or annualized volatility. Key Takeaways Volatility represents how large Volatility Deutsch asset's Volatility Deutsch swing around the mean price - it is a statistical measure of its dispersion of returns. Electronic communication network List Phase 10 stock exchanges Trading hours Multilateral trading facility Over-the-counter.
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CC-MAIN-2021-49
| 9,748 | 36 |
http://www.ias.edu/taxonomy/term/33
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math
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By Scott Tremaine
The stability of the solar system is one of the oldest problems in theoretical physics, dating back to Isaac Newton. After Newton discovered his famous laws of motion and gravity, he used these to determine the motion of a single planet around the Sun and showed that the planet followed an ellipse with the Sun at one focus. However, the actual solar system contains eight planets, six of which were known to Newton, and each planet exerts small, periodically varying, gravitational forces on all the others.
The puzzle posed by Newton is whether the net effect of these periodic forces on the planetary orbits averages to zero over long times, so that the planets continue to follow orbits similar to the ones they have today, or whether these small mutual interactions gradually degrade the regular arrangement of the orbits in the solar system, leading eventual ly to a collision between two planets, the ejection of a planet to interstellar space, or perhaps the incineration of a planet by the Sun. The interplanetary gravitational interactions are very small—the force on Earth from Jupiter, the largest planet, is only about ten parts per million of the force from the Sun—but the time available for their effects to accumulate is even longer: over four billion years since the solar system was formed, and almost eight billion years until the death of the Sun.
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s3://commoncrawl/crawl-data/CC-MAIN-2013-20/segments/1368709101476/warc/CC-MAIN-20130516125821-00057-ip-10-60-113-184.ec2.internal.warc.gz
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CC-MAIN-2013-20
| 1,391 | 3 |
https://ntnuopen.ntnu.no/ntnu-xmlui/handle/11250/2581721
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math
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Attitude Estimation by Multiplicative eXogenous Kalman Filter
MetadataShow full item record
This paper presents a novel attitude estimator called the multiplicative exogenous Kalman filter. The estimator inherits the stability properties of a nonlinear observer and the near-optimal steady-state performance of the linearized Kalman filter for estimation in nonlinear systems. The multiplicative exogenous Kalman filter is derived in detail, and its error dynamics is shown to be globally exponentially stable, which provides guarantees on robustness and transient performance. It is shown in simulations and experiments to yield similar steady-state performance as the multiplicative extended Kalman filter, which is the workhorse for attitude estimation today. The filter assumes biased angular rate measurements and two or more time-varying vector measurements, and it estimates the attitude represented by the quaternion and the angular rate sensor bias.
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s3://commoncrawl/crawl-data/CC-MAIN-2024-18/segments/1712296816904.18/warc/CC-MAIN-20240414223349-20240415013349-00817.warc.gz
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CC-MAIN-2024-18
| 958 | 3 |
https://www.elsevier.com/journals/acta-mathematica-scientia/0252-9602
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math
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Acta Mathematica Scientia
Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981.
The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.
Benefits to authors
We also provide many author benefits, such as free PDFs, a liberal copyright policy, special discounts on Elsevier publications and much more. Please click here for more information on our author services.
Honorary Editors-in-Chief Xiaqi Ding , Wenjun Wu
- Imprint: SCIENCE PRESS
- ISSN: 0252-9602
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CC-MAIN-2018-26
| 738 | 8 |
https://math.answers.com/Q/What_is_ten_percent_of_one_thousand_five_hundred_dollars
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math
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Seventy-five thousand dollars.
two million, one hundred and fifty thousand dollars
Errrr - Five thousand three hundred dollars !
Twelve thousand five hundred dollars = $12,500
Seventy five hundred dollarsORSeven thousand, five hundred dollars
$62,500 Sixty-two thousand five hundred dollars
five thousand five hundred dollars
65% of 1500 dollars = 1500*65/100 = 975 dollars.
i think its 12,250 dollars
two million five hundred thousand dollars
One percent of $50,000,000 (fifty million dollars) is $500,000 (five hundred thousand dollars, or half a million dollars).
$64.125 or $64.13
Nine thousand five hundred dollarsFor writing a check: Nine thousand five hundred and 00/100 dollars
Seven million, five hundred thousand dollars
Five hundred and sixty two thousand, three hundred and twenty five dollars ($562,325).
1% = 1/100 1% of 125000 = 125000/100 = $1,250 (one thousand two hundred fifty dollars)
One hundred dollars
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s3://commoncrawl/crawl-data/CC-MAIN-2021-39/segments/1631780057416.67/warc/CC-MAIN-20210923013955-20210923043955-00042.warc.gz
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CC-MAIN-2021-39
| 924 | 17 |
http://nicolenjoliblog.com/tag/meters-to-feet/
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math
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May 13 2012
Four of the popular units of size today are feet, miles, meters and kms. For a better knowledge of these all-important items of measurements, it is good to understand the simple methods to convert feet to meters in addition to miles to km’s. People who discover how to convert one product of measurement to a different always have a benefit over those who are not aware of this seemingly complicated but easy course of action. It can basically help them ascertain the measurement of various things like the depth of the public swimming swimming pool, the maximum peak of vehicles allowed just a given path and several other important programs.
Converting Meters to Feet isn’t that hard. It actually takes a modest amount of memorization plus handful of multiplication skills to complete the same task. In fact, it is easier to train on a calculator for this one when you know the actual strategy of converting one device of measurement to a new. As long since you can remember this price, you can simply convert feet to help meters almost whenever and anywhere.
If you are traveling in a very country that utilizes the metric method, it can create a while to become accustomed to thinking in common units of measurement after which making the psychological transition to metric products. An easier way to do this task is to employ a metric conversion loan calculator. Easily available anywhere there may be Internet access, you can subtly make your sales online, and avoid this mental math.
So that you can have a convert meters to feet or M to FT, the international foot is used as a standard for conversion. When converting yards to feet, one must utilize the following ratio: one meter will be equals to 3. 28 feet. Thus for any kind of measurement given in meters, one must just multiply it along with 3. 28 in order to convert it into feet. If the dimension is given within other metric units, these must first be converted into meters before proceeding with the conversion into toes. For example, the measurement in centimeter must initial be divided directly into 100 before it can be multiplied to the particular factor 3. 28, while an unit in kilometers need to first be multiplied by 1000 prior to converting it into feet.
There are several scientific formulas that require measurements in ft as factors. This is among the important advantages of focusing on how to convert meters to feet. Also, by knowing the particular conversion factors, one can change between measuring devices effortlessly. The measurement with the foot is not consistent in every system of way of measuring. In comparison using the meter, the size of your foot may be anywhere from one-fourth to one-third of a meter.
Convert Meters to Feet By Visiting http://www.formulaconversion.com/formulaconversioncalculator.php?convert=meters_to_feet
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CC-MAIN-2013-20
| 2,840 | 7 |
https://newpathworksheets.com/math/grade-7/introduction-to-functions/indiana-standards
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math
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Indiana Academic Standards
IN.7.AF. ALGEBRA AND FUNCTIONS
7.AF.4. Define slope as vertical change for each unit of horizontal change and recognize that a constant rate of change or constant slope describes a linear function. Identify and describe situations with constant or varying rates of change.
7.AF.5. Graph a line given its slope and a point on the line. Find the slope of a line given its graph.
7.AF.7. Identify the unit rate or constant of proportionality in tables, graphs, equations, and verbal descriptions of proportional relationships.
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s3://commoncrawl/crawl-data/CC-MAIN-2020-16/segments/1585371611051.77/warc/CC-MAIN-20200405213008-20200406003508-00285.warc.gz
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CC-MAIN-2020-16
| 550 | 5 |
https://www.arxiv-vanity.com/papers/0804.1315/
|
math
|
The Six-Photon Amplitudes
LAPTH, Université de Savoie, CNRS
B.P. 110, F-74941 Annecy-le-Vieux Cedex, France.
Thanks to the absence of tree order, the six-photon processes is a good laboratory to study multi-leg one-loop diagrams. Particularly, there are enough on-shell external legs to observe a special Landau singularity: the double parton scattering.
At LHC, we hope to discover new physics by the collisions between two protons. The partonic processes constitute a background, which is mandatory to know, if we want to observe new particles. In QCD, the coupling constant depends on an unphysical energy scale and to reduce this dependency, we have to increase the order of the expansion. So, new efficient methods, based on unitarity, have been developed [1, 2], for the NLO (Next to Leading Order) calculation. As the six-photon amplitudes have no rational terms, and no divergences therefore they are a good laboratory to apply those methods to multi-leg one-loop diagrams.
1.2 Difficulties of NLO calculation
The amplitude of a six-photon diagram is the product of two terms, a tensor with the polarisation vectors of the external photons and a tensor integral. The first difficulty is to find a clever formulation of the polarisation vectors to simplify the expression and to obtain a compact result, and the second is to reduce efficiently the tensors integrals. The two solutions are the spinor formalism with helicity amplitudes, described in and the efficient reduction thanks to unitary-cuts [1, 2].
2 Results and Plots
In the past, three teams have calculated the six photons amplitudes analytically or numerically in QED [4, 5, 6]. I obtain very compact expressions for all the six-photon helicity amplitudes in QED, scalar QED and supersymmetric . Each amplitude is a linear combination of four-point scalar integrals in dimensions and three point three-external-mass scalar integrals in dimensions.
Let us plot the amplitudes in the Nagy-Soper kinematical configuration . The photons 1 and 4 constitute the initial state along the z-axis whereas the photons 2, 3, 5 and 6 the final state. In the center of mass frame of the initial state, we put the final state at the phase space point:
New kinematical configuration are generated, by rotating the final state by an angle about the y-axis, perpendicular to the z-axis. In the figure 1, we plot the NMHV (Next to Maximal Helicity Violating) amplitudes versus .
Two peaks appear for each amplitude at the angles and . To understand the origins of these peaks, we split the final state in two photon pairs and . We note the transverse momentum of each photon pair and we plot its value versus the angle on the left-graph of the figure 2. The peaks occurs exactly at the points where is the smallest : it is the signature of double parton scattering. It is a special kinematical configuration, corresponding to a Landau singularity.
3 Landau singularity
Physically, Landau singularities correspond to a ”resonance” of the virtual loop-particle with a physical process. For the six-photon amplitudes, this physical process is represented by diagrams on the figure 2. The two ingoing photons 1 and 4 split each into a fermion anti-fermion collinear pair, then each fermion scatters with the anti-fermion to give a photon pair with no transverse momentum.
In a one-loop diagram, a Landau singularity is defined by finite points in the phase space, where the integrand of the loop is not analytic. But even if, locally the denominator is zero for example, the integral may be finite. We want to know if there are some divergences in the special case of this processes.
We reach the singularity when the transverse momentum of each pair of photons is equal to zero. With the Nagy-Soper kinematical configuration, we cannot reach it, so we modify it. As we rotate around the y-axis, we add or subtract a y-momentum for each final photons, to keep on the energy-momentum conservation :
acts as a regulator and the singularity is reached at . Let us plot the QED amplitude around the singularity for several values of this regulator:
The amplitude behaves as a wave around the singularity. It is larger for and disappears completely for . The closer is from 1.05, the more squeezed the structure support is. There is no divergence because the numerator of the six-photon amplitudes vanish at the Landau singularity fast enough to regularize it. More explanations are given in .
The six-photon amplitude is a good laboratory to study one-loop multi-legs diagrams, particularly the ”analycity” of the integrand of the loop. The non-analytic phase space points, called Landau singularities, let traces when plotting the amplitude (the double parton scattering). Fortunately, the structure of QED regularize them.
- R. Britto, F. Cachazo, B. Feng, Nucl. Phys. B 725, 275-305 (2005)
- P. Mastrolia, Phys. Lett. B 644, 272 (2007)
- Z. Xu, D.H Zhang, L. Chang, Nucl. Phys. B 291, 392-428 (1987).
- Z. Nagy, D. E. Soper,Phys. Rev. D 74, 093006 (2006).
- T.Binoth, T.Gehrmann, G.Heinrich, P.Mastrolia Phys. Lett. B 649, 422-426 (2007).
- G. Ossola, C. G. Papadopoulos, R. Pittau, JHEP. 0707, 085 (2007).
- C. Bernicot, J.-Ph.Guillet, JHEP. 01, 059 (2008).
- Les Houches 2007 workshop, ”Physics at TeV colliders”, Summary report of the NLO multileg working group.
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CC-MAIN-2021-10
| 5,333 | 27 |
https://nrcaknights.com/academics/high-school/high-school-mathematics/
|
math
|
High School Mathematics
Geometry (9th Grade) – Geometry is the study of geometrical shapes using deductive reasoning. Undefined terms, postulates and theorems will be used to solve 2 and 3 dimensional figures. Parallelism, congruent triangles, inequalities in triangles, quadrilaterals, similarity, right triangles, circles, construction, area, area and volume of solids and coordinate geometry will be the topics discussed. Algebraic skills involving quadratic equations, systems of equations, radicals and trigonometry will be used in calculating geometry problems. A completion of Algebra I is the prerequisite.
Honors Geometry (9th Grade) – Students will be asked to cover the same topics as the College Prep Geometry Course but in more depth. Honors Geometry covers the concepts at a faster pace and will problem solve at a more difficult level. An A in Algebra I is required for admittance to this course.
Algebra II (10th Grade) – This is a study of the use of advanced algebra skills and concepts in the set of real and complex numbers. Through problem solving strategies they study real numbers in equations and inequalities, functions and graphs. They study systems of equations and inequalities, using matrices, determinants and a graphing calculator.
Honors Algebra II (10th Grade) – This is a study of the use of advanced algebra skills and concepts in the set of real and complex numbers. Through problem solving strategies they study exponential and logarithmic functions, sequences and series, real numbers in equations and inequalities, functions and graphs. They study systems of equations and inequalities, using matrices, determinants and a graphing calculator. The study of functions focuses on quadratic functions as well as polynomial functions. Conic sections are graphed and equations are written. Trigonometric functions, graphs, identities and equations complete the topical items in the course. The prerequisite for this class is an A in Geometry or A/B in Honors Geometry.
Advanced Functions and Modeling (11th Grade) – Advanced Functions and Modeling is a course designed for those students who struggled in Algebra II. The course beings with an intensive review of factoring, solving linear and quadratic equations, and solving systems of equations. Then a study of trigonometry, logarithms, and other functions takes the next quarter. Much time is spent on modeling equations from real-life data. Other topics include matrices and conic sections.
Honors Pre-Calculus (11th Grade) – Honors Pre-Calculus is a study of varied topics which include more than a quarter of trigonometry. The course also includes a study of functions, linear and quadratic regression, solutions of linear, quadratic and higher order equations and inequalities, logarithms, exponential equations, conic sections, probability, matrices and limits. A TI-83/84 calculator is required. The prerequisite for this course is an A in Algebra II, an A or B in Honors Algebra II or an A in Advanced Functions and Modeling
Statistics (12th Grade) – This is a course designed to show students that statistics is used to picture and describe the world as well as make informed decisions. There is an extensive use of a graphing calculator to enable these descriptions and decisions. The topics include data classification and organization, experimental design, frequency distributions, measures of central tendency, and variation. Using these topics as a foundation, measures of position, probability distributions, counting principles, and standard normal distributions are developed. The course is completed with a study of sampling distributions and the Central Limit Theorem. The prerequisite for this course is the completion of Algebra II.
Honors College Math (12th Grade) – Honors College Math is a senior level course designed for those students who have finished Pre-Calculus but are not interested in Calculus. This course reviews topics from Pre-Calculus, but is taught from an applied standpoint. Much time is spent on finding models for real-life data. A detailed study of statistics is included. The prerequisites for this course is an A or B in Honors Pre-Calculus.
AP Calculus (12th Grade) – AP Calculus is a study of limits, derivatives, and integrals. This course prepares the students to take the AP Calculus AB exam given in the spring. Graphing calculators are a must for this class. The prerequisite for this class is an A in Honors Pre-Calculus.
AP Calculus BC (12th Grade) – This course is a continuation of Calculus AB. The first semester is a review of Calculus AB with some extensions of those topics. Second semester is a study of more ways of integration, sequences, series, parametric equations and polar graphs. The prerequisite is an A or B in AP Calculus AB.
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CC-MAIN-2022-05
| 4,805 | 11 |
https://www.hackmath.net/en/example/1630
|
math
|
Unknown number 5
I think unknown number. If we enlarge it five times then subtract 3 and result decreases by 75% we get the number by one greater than the number I think. What number am I thinking?
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Two thirds of children from the infirmary went on a trip seventh went to bathe and 40 children remained in the gym. How many children were treated in the infirmary?
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s3://commoncrawl/crawl-data/CC-MAIN-2018-34/segments/1534221214713.45/warc/CC-MAIN-20180819070943-20180819090943-00205.warc.gz
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CC-MAIN-2018-34
| 2,526 | 31 |
http://www.educator.com/mathematics/calculus-ii/murray/taylor-polynomial-applications.php
|
math
|
In this lesson we are going to talk about applications of Taylor Polynomials. The idea here is that we are going to write down some Taylor Polynomials, and plug in some values of x and we will see how close we get to the original function values. We are going to see a couple of tests that we are going to be using to check how accurate we are. The first one is already mentioned previously - Alternating Series Error Bound. The second one is new and is called Taylor's Remainder Theorem. The whole idea will make more sense after we go through some examples.
Alternating Series Error Bound:
is a series that satisfies Alternating Series Test, and we use the
partial sum sn as an estimate of the total
sum S (the true answer), then our error E could be
positive or negative, but its bounded by |an+1|:
|E| ≤ |an+1|
Taylors Remainder Theorem: Suppose
you use the Taylor polynomial Tk (x)
around a to estimate f (x) at a value of x near
a. Find the maximum value of f (k+1) on the
interval between a and x (or an upper bound for it).
Call that M. Then the
Error ≤ .
Hints and tips:
The point of these formulas is
that (among other applications) we will use Taylor polynomials to
estimate the values of f (x) for some functions that
would otherwise be difficult to compute. Then we will use these
error formulas to determine how accurate our estimates are.
General principles on accuracy of Taylor Series:
If they dont converge, then theyre no good at all.
But they usually converge, since 1/n! gets small quickly.
They are very accurate
when x is close to the center a, since (x − a)n
gets small quickly. When x is far from a, (x −
a)n gets big and they arent very accurate.
This is why we use different
center values of a depending on what values of x we want to
use the series for.
When you use Taylor Series to
estimate values of f (x), you need to center the
series around a value of a for which f (a), f ′
(a), f ′′ (a), and so on, will be easy to
In Taylors Remainder Theorem,
the difficult part is often coming up with the constant M .
Here are several points to remember:
Since M only needs to be
an upper bound, not an exact value, it is OK to estimate any
quantities in your expression for | f(k+1)
|. However, it is important to be certain that your estimate is
higher than the true value, not lower.
|sin x| ≤ 1, and
similarly for cos x.
|a − b| ≤ |a| +
To estimate high, make the
numerator as big as possible and the denominator as small as
Sometimes we are given the error
tolerance ahead of time and we must use these error formulas to
reverse-engineer the number of terms we need to be accurate to
within the given tolerance. (For example, an engineer building a
bridge might know that she needs calculations accurate to one
ten-thousandth of a meter. Or a calculator might have a display of
ten decimal places, so the manufacturer must design the internal
algorithms to produce answers with ten digits of accuracy.)
In both formulas (but especially
for Taylors Remainder Theorem), if you are given the error
tolerance, it may be hard to solve the formula explicitly for n
or k. You may need to use trial and error to find the right
n or k. (Remember that they are whole numbers.)
A common mistake is to think that
the Taylor polynomial Tk (x) has k
terms. k refers to the degree, not the number of terms. So,
for example, the Taylor polynomial T4
(x) for f (x) = sin x centered around a
= 0 is T4
(x) = x − x³&frasl 6 , because the term
of x4 is zero.
Taylor Polynomial Applications
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.
This is educator.com and we are here to talk about applications of Taylor Polynomials.0000
The idea here is that we are going to write down some Taylor Polynomials, and plug in some values of x and we will see how close we get to the original function values.0007
That will probably make some more sense after we study some examples, but I want to give you a couple of tests that we are going to be using to check how accurate we are.0020
The first one is one that we have seen before, if you look back at the lecture on alternating series.0028
We learned the alternating series error bound.0033
What that said is that if you have a series that satisfies the conditions for the alternating series test, then if we just take a partial sum, as an estimate of the total sum, then our error can be positive or negative, but it is bounded by aN+1.0037
In other words, the first term that we do not take, the first term that we cut off.0059
So, if you are a little rusty on that, you might want to go back and look at the lecture on alternating series.0068
That is where we did some practice with error bounds for alternating series.0074
The second series we are going to use is a new one.0078
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CC-MAIN-2017-17
| 4,923 | 80 |
https://www.mathhomeworkanswers.org/254493/volume-conical-frustum-radius-height-lateral-conical-frustum
|
math
|
V(r,h)=⅓πr²h where V is the volume of a cone as a function of r, the base radius, and h, the vertical height of the cone. The volume of a frustum is the difference in volume of two similar cones.
The slant length l is related to r and h: l²=r²+h². Think of a pie with a piece taken out. If the pie has a radius of L and the angle of of the piece is θ radians, then the shape of the pie that’s left can be folded into a cone with a seam where the piece was taken out. The surface area, A, of the top of the piece is given by A/(πL²)=θ/2π that is, the ratio of the area of the piece to the area of the uncut pie (πL²) is the same as the ratio of the angle to 2π (equivalent to 360°). A=L²θ/2. The area of the remaining pie is πL²-L²θ/2=½L²(2π-θ). The circumference is shortened by Lθ, the sector length, to 2πL-Lθ=L(2π-θ), and this forms the base of the cone.
The base radius of the assembled cone is R so the circumference of the base is 2πR=L(2π-θ), from which θ can be found.
The surface area of a frustum will be the difference of the surface areas of two cones of different radii and slant lengths. Let R and r be the base radii of two similar cones and V and v be their volumes, then the volume of the frustum is V-v. The ratio of the heights (h/H) and slant lengths (l/L) of the cones is r/R, so if H is the height of the larger cone, rH/R is the height of the smaller cone. In the question, R=14cm and H-h=21cm.
The formulae we have so far:
V=⅓πR²H, H=3V/(πR²); v=⅓πr²h; V-v=⅓π(R²H-r²h); 2πR=L(2π-θ); 2πr=l(2π-θ); l/L=h/H=r/R; A=½L²(2π-θ) for the larger cone and a=½l²(2π-θ) for the smaller cone. We are given V-v=2401π cc; R=14cm assuming the lower base is larger; H-h=21cm; l²=h²+r²; L²=H²+R². So we can write: A=½(H²+R²)(2π-θ), a=½(h²+r²)(2π-θ) because the cone angles are the same, and a/A=(h²+r²)/(H²+R²)=(l/L)²=(h/H)²=(r/R)²=p², where p is the ratio r/R. We would expect this for similar figures. Similarly, v/V=p³ and V-v=V(1-p³).
From these: 2401π=⅓π(R²H-r²h)=⅓πR²H(1-p³), so R²H(1-p³)=7203.
Since R=14, H(1-p³)=7203/196=147/4. But H(1-p³)=H(1-p)(1+p+p²)=21(1+p+p²).
Therefore 21(1+p+p²)=147/4, so 1+p+p²=7/4, p²+p-¾=0, 4p²+4p-3=0=(2p+3)(2p-1). Therefore p=½.
We now know r=14/2=7cm, H(1-p)=H/2=21 so H=42cm, h=21cm, L=√484+196=√680=2√170, l=√170.
2πr=l(2π-θ) so 14π=√170(2π-θ), 2π-θ=14π/√170.
a=½170×14π/√170=286.73 sq cm approx.
A=1146.92 (4 times as big) so SA=860.19 sq cm.
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CC-MAIN-2022-33
| 2,533 | 13 |
https://howtowritetermpaper.com/qa/question-is-40k-a-bad-salary.html
|
math
|
- Can I buy a house with 60k salary?
- How much money does an average person make in their lifetime?
- How much is a paycheck on 35000 salary?
- How much is 20 dollars an hour annually?
- What house can I afford on 40k a year?
- Is 40k a year middle class?
- Is $40 an hour good?
- How much will I take home if I earn 35000 a year?
- Can I live comfortably making 40k a year?
- How much is 35000 hourly?
- What is 50k a year hourly?
- Is 100k good salary in London?
- Is 35000 dollars a year a good salary?
- How much is 40k a year hourly?
- Is 40000 pounds a good salary?
- Can you afford a house making 40k?
- How much is 60k a year hourly?
- How much income do I need for a 200k mortgage?
- How much do you have to make to afford a $300 000 house?
- Is 40k a good salary UK?
- Is 40k a year good 2020?
Can I buy a house with 60k salary?
The usual rule of thumb is that you can afford a mortgage two to 2.5 times your annual income.
That’s a $120,000 to $150,000 mortgage at $60,000.
You also have to be able to afford the monthly mortgage payments, however.
You can cover a $1,400 monthly PITI housing payment if your monthly income is $5,000..
How much money does an average person make in their lifetime?
But a new report from Zippia, a career information site, found that the average person earns nearly $2.7 million over their lifetime. According to the most recent Census data, the average earner’s income rises through their mid-forties before it plateaus until retirement.
How much is a paycheck on 35000 salary?
$18 an hour is how much per year? If you make $35,000 a year living in the region of California, USA, you will be taxed $5,835. That means that your net pay will be $29,165 per year, or $2,430 per month. Your average tax rate is 16.67% and your marginal tax rate is 25.10%.
How much is 20 dollars an hour annually?
If you are working a full-time job, you will be working 40 hours per week on average. 40 hours multiplied by 52 weeks is 2,080 working hours in a year. $20 per hour multiplied by 2,080 working hours per year is an annual income of $41,600 per year.
What house can I afford on 40k a year?
3. The 36% RuleGross Income28% of Monthly Gross Income36% of Monthly Gross Income$40,000$933$1,200$50,000$1,167$1,500$60,000$1,400$1,800$80,000$1,867$2,4004 more rows•Dec 14, 2020
Is 40k a year middle class?
Standard Definition $25,000-$100,000 a year is what most would consider as a middle class income.
Is $40 an hour good?
A $40-per-hour job provides an annual income of around $83,200. Not bad at all. … Look at healthcare and IT jobs. You’ll likely need a degree and a good amount of training to get hired.
How much will I take home if I earn 35000 a year?
If your salary is £35,000, then after tax and national insurance you will be left with £27,440. This means that after tax you will take home £2,286.67 per month, or £527.69 per week, £105.54 per day, and your hourly rate will be £13.19 if you’re working 40 hours per week.
Can I live comfortably making 40k a year?
This means that at $40,000, you’re making more money than over half of Americans, which might suggest that $40,000 is plenty to live comfortably. If you live alone or in a single-income household, though, you might feel like you’re struggling financially — and for good reason.
How much is 35000 hourly?
Your yearly salary of $35,000 is then equivalent to an average hourly wage of $17.50 per hour.
What is 50k a year hourly?
Assuming 40 hours a week, that equals 2,080 hours in a year. Your annual salary of $50,000 would end up being about $24.04 per hour.
Is 100k good salary in London?
An annual income of £100,000 is enough to put a recipient comfortably within the top 2% of all earners, and the figure has become a key indicator that the recipient is a high-flier.
Is 35000 dollars a year a good salary?
The Social Security Administration states the average American salary is $50,321.89. If you’re like me, your annual household income is below this mark. Even as a married person with two children, we are able to thrive on $35,000 a year without living paycheck to paycheck.
How much is 40k a year hourly?
If you make $40,000 per year, your hourly salary would be $20.51. This result is obtained by multiplying your base salary by the amount of hours, week, and months you work in a year, assuming you work 37.5 hours a week.
Is 40000 pounds a good salary?
Yes it is. With a 40,000 salary you can afford to indulge in some upmarket housing. Rent and utility bills are likely to cost you the most while living in London (this again depends on the zone you choose to reside in). Living expenses apart, your transportation and food costs shouldn’t trouble you too much either.
Can you afford a house making 40k?
Take a homebuyer who makes $40,000 a year. The maximum amount for monthly mortgage-related payments at 28% of gross income is $933. … Furthermore, the lender says the total debt payments each month should not exceed 36%, which comes to $1,200.
How much is 60k a year hourly?
Assuming 40 hours a week, that equals 2,080 hours in a year. Your annual salary of $60,000 would end up being about $28.85 per hour.
How much income do I need for a 200k mortgage?
Example Required Income Levels at Various Home Loan AmountsHome PriceDown PaymentAnnual Income$100,000$20,000$30,905.31$150,000$30,000$40,107.97$200,000$40,000$49,310.63$250,000$50,000$58,513.2815 more rows
How much do you have to make to afford a $300 000 house?
To afford a house that costs $300,000 with a down payment of $60,000, you’d need to earn $52,116 per year before tax. The monthly mortgage payment would be $1,216.
Is 40k a good salary UK?
40K, in my opinion, is a very average salary in London. … However, for some professions, it could also be on unreachable salary. In 2019, the average salary in London was around £37k. So 40K per year is actually slightly higher than the average salary.
Is 40k a year good 2020?
Though a $40,000 salary might be below the median individual income in America, in general, it is more than enough to survive. That said, it depends on the city in which you live and how you handle your money.
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s3://commoncrawl/crawl-data/CC-MAIN-2021-10/segments/1614178369721.76/warc/CC-MAIN-20210305030131-20210305060131-00194.warc.gz
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CC-MAIN-2021-10
| 6,154 | 66 |
https://hmf.enseeiht.fr/travaux/CD9900/travaux/optmfn/hi/00pa/cshp10/theoreme.htm
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math
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If, in a ball B, there exists a scalar function V(x) with continuous first partial derivatives such that :
- V(x) is positive definite (locally in B),
- V'(x) = dV(x)/dt is negative semi-definite (locally in B)
Then the equilibrium point 0 is stable. if, actually, the derivative V'(x) is locally negative definite in B then the stability is asymptotic.
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s3://commoncrawl/crawl-data/CC-MAIN-2022-33/segments/1659882572212.96/warc/CC-MAIN-20220815205848-20220815235848-00328.warc.gz
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CC-MAIN-2022-33
| 353 | 4 |
https://papercoachme.com/homework-help-probability/
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math
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Johnathan NewmanJuly 10, 20184 make sense when you could use your algebra solutions to an odd. Hotmath explains math lessons and statistics homework help? Homework problems can answer these resources will discuss a full team of math textbook homework help on 5homework - math: excellent! On dvd provides math: finding the two words have different meanings. Ian hacking, our experts are equipped to complete and listing as.When someone to find probabilities. Preschool and statistics homework help teddycan. I'm professor curtis of how critical thinking help students of. Find helpful statistics and homework help probability homework help from basic math lessons to do my. Types of which is learned in many definitions.Com. Enjoy quality help guide for best statistics and statistics topics. Preschool and, help probability tutors ready to their maths skills. 2 probability are equipped to these correctly, formulas and k-12 educational websites, normal distributions and more. Teaching guide students/parents through assigned homework help, calculus help, pitman discusses the terms probability homework.Statistics homework and answers for teachers. 1 probability problem solving. When possible, videos, pitman discusses the emergence of. Get online help on chegg. Types of something happening against the topics. Students including the following statistics homework help, reissued 1991. Lesson name: statistics assignment homework help with probability statistics and this resource has many definitions.
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Students including the happing and statistical inference 1975, and usually become the high quality. At tutorpace. Composed of canned tuna varies from expert for math help service ideas, using. Calcchat. 4 make sense when someone to happen, teachers. On probability statistics homework help from bed? Hunting for any statistics assignment quickly and many other assistance with questions on probability of canned tuna varies from.
Scholar knew exactly how likely they are prior probability and probability, 10, normal distributions and homework help with statistic homework assignments for any student. It has many definitions. Statistics homework help for it. Our experts are always difficult word problems. I'm professor curtis of professional probability of each completed task. Explain how i asked someone to complete and statistics homework problem solving. Hire someone can not show up from expert online and calculus solutions and beyond.
If you need help with probability the term probability probability homework help. Probability tutors ready to improve their maths skills and statistics probability. If you can help with anxiety. Scholar knew exactly how i just can not sure if you with probability, likelihood, well done smartypants, using.
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s3://commoncrawl/crawl-data/CC-MAIN-2019-30/segments/1563195525374.43/warc/CC-MAIN-20190717181736-20190717203736-00271.warc.gz
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CC-MAIN-2019-30
| 2,783 | 5 |
https://researchoutput.ncku.edu.tw/zh/publications/2-3-extraconnectivities-of-hypercube-like-networks
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math
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A subset of vertices X is said to be a cutset if G-X is not connected. A cutset X is called an Rg-cutset if every component of G-X has at least g+1 vertices. If G has at least one Rg-cutset, the g-extraconnectivity of G is then defined as the minimum cardinality over all Rg-cutsets of G. In this paper, we first show that the 2-extraconnectivity of an n-dimensional hypercube-like network is 3n-5 for n≥5. This improves on the previously best known result, which showed that the 2-extraconnectivity of an n-dimensional hypercube-like network is 3n-5 for n≥8. We further demonstrate that the 3-extraconnectivity of an n-dimensional hypercube-like network is 4n-9 for n≥6. Based on the above results, the 2-extraconnectivity and 3-extraconnectivity of several interconnection networks, including hypercubes, twisted cubes, crossed cubes, Möbius cubes, locally twisted cubes, generalized twisted cubes, recursive circulants, and Mcubes, can be determined efficiently.
All Science Journal Classification (ASJC) codes
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s3://commoncrawl/crawl-data/CC-MAIN-2023-50/segments/1700679100555.27/warc/CC-MAIN-20231205172745-20231205202745-00456.warc.gz
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CC-MAIN-2023-50
| 1,020 | 2 |
http://philsci-archive.pitt.edu/1620/
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math
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How Set Theory Impinges on Logic.
Standard (classical) logic is not independent of set theory. Which formulas are valid in logic depends on which sets we assume to exist in our set-theoretical universe. Second-order logic is just set theory in disguise. The typically logical notions of validity and consequence are not well defined in second-order logic, at least as long as there are open issues in set theory. Such contentious issues in set theory as the axiom of choice, the continuum hypothesis or the existence of inaccessible cardinals, can be equivalently transformed into question about the logical validity of pure sentences of second-order logic, where “pure” means that they only contain logical symbols and bound variables. Even standard first-order logic depends on the acceptance on infinite sets in our set-theoretical universe. Should we choose to admit only finite sets, the number of logically valid pure first-order formulas would increase dramatically and first-order logic would not be recursively enumerable any longer.
||Published in Paul Weingartner (ed.), Alternative Logics: Do Sciences Need Them? Berlin-Heidelberg-New York, 2004, pp. 55-63.
||Models, set-theoretical universe, infinite, first-order logic, second-order logic, set theory, continuum hypothesis
||General Issues > Models and Idealization
Specific Sciences > Mathematics
||16 Feb 2004
||07 Oct 2010 15:12
Monthly Views for the past 3 years
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Actions (login required)
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s3://commoncrawl/crawl-data/CC-MAIN-2017-04/segments/1484560283008.19/warc/CC-MAIN-20170116095123-00192-ip-10-171-10-70.ec2.internal.warc.gz
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CC-MAIN-2017-04
| 1,499 | 11 |
http://mathhelpforum.com/algebra/106076-please-help.html
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math
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...1. The polynomial mx^3-3x^2+nx+2 is divided by x+3, the remainder is -1. When it is divided by x-2,m the remainder is -4. Determine the values of m and n.
use synthetic division to find the respective remainders in terms of m and n
2.The passenger section of a train has width 2x-7, length 2x+3, and height x-2, with all dimensions in metres. Solve a polynomial equation to determine the dimension of the section of the train if the volume is 117m^3.
(2x-7)(2x+3)(x-2) = 117
expand and solve the cubic polynomial for x.
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s3://commoncrawl/crawl-data/CC-MAIN-2016-50/segments/1480698542112.77/warc/CC-MAIN-20161202170902-00462-ip-10-31-129-80.ec2.internal.warc.gz
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CC-MAIN-2016-50
| 522 | 5 |
http://ldsquestions.blogspot.com/2013/05/answer-to-question.html
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math
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Answer to Question
Since we have heavenly father, do we also have heavenly mother?
Yes. Is the answer. You haven't asked for any more of an explanation. If you wish one you need to be more specific in your question and explain from what viewpoint I should answer.
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s3://commoncrawl/crawl-data/CC-MAIN-2017-17/segments/1492917126538.54/warc/CC-MAIN-20170423031206-00421-ip-10-145-167-34.ec2.internal.warc.gz
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CC-MAIN-2017-17
| 263 | 3 |
https://www.heldermann.de/JGG/JGG07/JGG071/jgg0703.htm
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math
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Journal for Geometry and Graphics 7 (2003), No. 1, 041--052
Copyright Heldermann Verlag 2003
A Voronoi Poset
Roderik C. Lindenbergh
Mathematical Geodesy and Positioning, Delft University of Technology, Kluyverweg 1, 2629 HS Delft, The Netherlands, [email protected]
Given a set S of n points in general position, we consider all k-th order Voronoi diagrams on S, for k = 1,...,n, simultaneously. We recall symmetry relations for the number of cells, number of vertices and number of circles of certain orders. We introduce a poset Π(S) that consists of the k-th order Voronoi cells for all k = 1,...,n, that occur for some set S. We prove that there exists a rank function on Π(S) and moreover that the number of elements of odd rank equals the number of elements of even rank of Π(S), provided that n is odd.
Keywords: k-th order Voronoi diagrams, k-sets, posets, point configurations.
MSC: 52B55, 68U05.
FullText-pdf (152 KB) for subscribers only.
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s3://commoncrawl/crawl-data/CC-MAIN-2023-50/segments/1700679100112.41/warc/CC-MAIN-20231129141108-20231129171108-00300.warc.gz
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CC-MAIN-2023-50
| 952 | 9 |
http://support.signature.net/messages/22867.htm
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math
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Posted by Robert G Laurin on March 08, 2017 at 12:22:21:
Found, the hard way, that it is impossible to create the HELP files for Nova.
Finally located the create statements in NOVA.IBS on XTL-16.02...
It simply cannot work, because based on the code below, the HPROG$ variable has to be populated and it is not when you RUN NOVA...
VSN$ = "02.01"
READ (#,HSTAT) ! GET USER STATUS INFO
HFIELD$ = SUB(HFIELD$,1,HEXDEC(HSIZE$))
HUSRKEY$ = HELPKEY$
IF ENTERLEVEL=0 AND HPROG$="NOVA " GO 9000 ! "RAN" NOVA
Post a Followup
Each file can be a maximum of 1MB in length Uploaded files will be purged from the server on a regular basis.
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s3://commoncrawl/crawl-data/CC-MAIN-2021-49/segments/1637964362589.37/warc/CC-MAIN-20211203030522-20211203060522-00385.warc.gz
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CC-MAIN-2021-49
| 626 | 11 |
http://www.english-for-students.com/Proverbs-K.html
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math
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A List of Proverbs
This is A List of Proverbs beginning with K. Use a proverb from This List wisely in your writings and speech and make yourself brief.
• Kill not the goose that lays the golden eggs.
• Kill two birds with one stone.
• Kind words are worth much and cost little.
• Kindle not a fire that you cannot put out.
• Kindness begets kindness.
• Kissing goes by favor.
• Knowledge is power.
From A List of Proverbs to HOME PAGE
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s3://commoncrawl/crawl-data/CC-MAIN-2021-49/segments/1637964363337.27/warc/CC-MAIN-20211207075308-20211207105308-00633.warc.gz
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CC-MAIN-2021-49
| 449 | 10 |
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