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https://stats.stackexchange.com/questions/116770/reml-or-ml-to-compare-two-mixed-effects-models-with-differing-fixed-effects-but?noredirect=1	[ "# REML or ML to compare two mixed effects models with differing fixed effects, but with the same random effect?\n\nBackground: Note: My dataset and r-code are included below text\n\nI wish to use AIC to compare two mixed effects models generated using the lme4 package in R. Each model has one fixed effect and one random effect. The fixed effect differs between models, but the random effect remains the same between models. I've found that if I use REML=T, model2 has the lower AIC score, but if I use REML=F, model1 has the lower AIC score.\n\nSupport for using ML:\n\nZuur et al. (2009; PAGE 122) suggest that \"To compare models with nested fixed effects (but with the same random structure), ML estimation must be used and not REML.\" This indicates to me that I ought to use ML since my random effects are the same in both models, but my fixed effects differ. [Zuur et al. 2009. Mixed Effect Models and Extensions in Ecology with R. Springer.]\n\nSupport for using REML:\n\nHowever, I notice that when I use ML, the residual variance associated with the random effects differs between the two models (model1 = 136.3; model2 = 112.9), but when I use REML, it is the same between models (model1=model2=151.5). This implies to me that I ought instead to use REML so that the random residual variance remains the same between models with the same random variable.\n\nQuestion:\n\nDoesn't it make more sense to use REML than ML for comparisons of models where the fixed effects change and the random effects remain the same? If not, can you explain why or point me to other literature that explains more?\n\n# Model2 \"wins\" if REML=T:\nREMLmodel1 = lmer(Response ~ Fixed1 + (1\|Random1),data,REML = T)\nREMLmodel2 = lmer(Response ~ Fixed2 + (1\|Random1),data,REML = T)\nAIC(REMLmodel1,REMLmodel2)\nsummary(REMLmodel1)\nsummary(REMLmodel2)\n\n# Model1 \"wins\" if REML=F:\nMLmodel1 = lmer(Response ~ Fixed1 + (1\|Random1),data,REML = F)\nMLmodel2 = lmer(Response ~ Fixed2 + (1\|Random1),data,REML = F)\nAIC(MLmodel1,MLmodel2)\nsummary(MLmodel1)\nsummary(MLmodel2)\n\n\n# Dataset:\n\nResponse Fixed1 Fixed2 Random1\n5.20 A A 1\n32.50 A A 1\n6.57 A A 2\n24.77 A B 3\n41.69 A B 3\n34.29 A B 4\n1.80 A B 4\n10.00 A B 5\n15.56 A B 5\n4.44 A C 6\n21.65 A C 6\n9.20 A C 7\n4.11 A C 7\n12.52 B D 8\n0.25 B D 8\n27.34 B D 9\n11.54 B E 10\n0.86 B E 10\n0.68 B E 11\n4.00 B E 11\n\n• Faraway's (2006) Extending the linear model with R (p. 156): \"The reason is that REML estimates the random effects by considering linear combinations of the data that remove the fixed effects. If these fixed effects are changed, the likelihoods of the two models will not be directly comparable.\" – jvh_ch Sep 25 '14 at 16:56\n• Even though AIC is likelihood based, to the best of my knowledge, it was developed for the purposes of prediction. How would one exactly apply a mixed model for prediction? – AdamO Sep 25 '14 at 20:47\n• @AdamO, could you be more precise? A fitted mixed model can be used for prediction, either at the population level (predict responses for an unspecified/unknown unit by setting conditional modes/BLUPs to zero) or at the individual level (condition prediction on the estimates of the conditional modes/BLUPs). If you can be more specific, that might make a good new CV question. – Ben Bolker Sep 25 '14 at 22:10\n• It was just unclear to me how you were intended to apply this model. Nothing in the problem suggested what kind of prediction, if any, was being done or if it was necessary and if so for what purpose. – AdamO Sep 25 '14 at 23:03\n\nZuur et al., and Faraway (from @janhove's comment above) are right; using likelihood-based methods (including AIC) to compare two models with different fixed effects that are fitted by REML will generally lead to nonsense.\n\n• Thanks @janhove, AdamO and Ben Bolker. I also found this link from Aaron to be helpful in answering this question. It says, \"The REML likelihood depends on which fixed effects are in the model, and so are not comparable if the fixed effects change. REML is generally considered to give better estimates for the random effects, though, so the usual advice is to fit your best model using REML for your final inference and reporting.\" – It Figures Sep 26 '14 at 12:04\n\nI'll give an example to illustrate why the REML likelihood cannot be used for things like AIC comparisons. Imagine that we a normal mixed effects model. Let $X$ denote the design matrix and assume that this matrix has full rank. We can find a reparametrization of the mean value space, given by the matrix $\\tilde{X}$. The two matrices span the same linear subspace of $\\mathbb{R}^n$. Thus, the columns of $\\tilde{X}$ can be written as linear combinations of the columns of $X$. Therefore, we can find a quadratic matrix, $B$, such that\n\n$\\tilde{X} = XB$.\n\nFurthermore, $B$ has full rank (this can be proven by assuming that it didn't; then neither would $X$, a contradiction). This means that $B$ is invertible.\n\nIf we start out be using the second parametrization of the mean value space and let $V$ be a covariance matrix then let's consider the REML criterion we should maximize (I'm omitting a constant)\n\n$\|V\|^{-1/2}\|\\tilde{X}'V^{-1}\\tilde{X}\|^{-1/2}\\exp((y-\\tilde{X}\\tilde{\\beta})'V^{-1}(y-\\tilde{X}\\tilde{\\beta})/2)$,\n\nover the parameter set, where $\\beta = (\\tilde{X}V^{-1}\\tilde{X})^{-1}y$. Using the fact that $X = \\tilde{X}B$, we can realize that this can be rewritten as\n\n$\|B\|\|V\|^{-1/2}\|\|X'V^{-1}X\|^{-1/2}\|\\exp((y-X\\bar{\\beta})'V^{-1}(y-X\\bar{\\beta})/2)$,\n\nwhere $\\bar{\\beta} = (XV^{-1}X)^{-1}y$. This is the REML likelihood for the other parametrization times the determinant of $\|B\|$.\n\nWe therefore have an example of two different parametrizations of the same model, giving different likelihood values, assuming that $\|B\| \\neq 1$ (such a matrix can easily be found). The same parameter value will maximize the criterion in both cases but the value of the likelihood will be different. This shows that there is an arbitrary element in the likelihood value and therefore illustrates why one cannot use the value of the likelihood for comparison between models with different fixed effects: you would be able to change the results simply be changing the mean value space parametrization in one of the models.\n\nThis an example of why REML should not be used when comparing models with different fixed effects. REML, however, often estimates the random effects parameters better and therefore it is sometimes recommended to use ML for comparisons and REML for estimating a single (perhaps final) model." ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8116933,"math_prob":0.987316,"size":2178,"snap":"2019-51-2020-05","text_gpt3_token_len":680,"char_repetition_ratio":0.14949402,"word_repetition_ratio":0.035532996,"special_character_ratio":0.31955922,"punctuation_ratio":0.13772455,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.997894,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-12-13T12:32:32Z\",\"WARC-Record-ID\":\"<urn:uuid:5547e891-615c-48cf-a3b5-936c4a2996d0>\",\"Content-Length\":\"151744\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:d8ece07e-60bf-4344-a4b8-0df9b4be2d29>\",\"WARC-Concurrent-To\":\"<urn:uuid:fb84461f-394f-4f16-8ff2-d08b4a173eae>\",\"WARC-IP-Address\":\"151.101.65.69\",\"WARC-Target-URI\":\"https://stats.stackexchange.com/questions/116770/reml-or-ml-to-compare-two-mixed-effects-models-with-differing-fixed-effects-but?noredirect=1\",\"WARC-Payload-Digest\":\"sha1:VZJNRLPURCOG7MVEJL7JUH7JE23E6XNB\",\"WARC-Block-Digest\":\"sha1:7P74EY3L2VKFDTTOYXSL6ZQ2JHHBXHC3\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-51/CC-MAIN-2019-51_segments_1575540555616.2_warc_CC-MAIN-20191213122716-20191213150716-00032.warc.gz\"}"}
http://myriverside.sd43.bc.ca/annabelles2019/category/grade-11/page/3/	[ "### Archive of ‘Grade 11’ category\n\nIn week 10 of my precalc 11 class, we learned about three different forms of equations that can be graphed, and how to convert them from one to another. Here are the different forms (with examples below):\n\nGeneral Form: y = ax² + bx + c\n\ny = x² – 2x + 4\n\ny = -2x² + 5x -16\n\nStandard or Vertex Form: y = a(x – p)² + q\n\ny = (x – 4)² + 7\n\ny = 3(x – 2)² – 1\n\nFactored Form: y = a(x – x₁)(x – x₂)\n\ny = 2(x + 7)(x – 3)\n\ny = (x – 5)(x – 2)\n\nEach of these equation types can show different things about what the graph will look like. For example, the last number (with no variable) in general form tells you the y-intercept. The 2 numbers after the x in factored form are the roots of the equation (make sure to change the signs first). In order to fully graph a quadratic equation, sometimes you need to convert one form of the equation into another. Here is how to convert general form into factored or standard:", null, "This is how to change standard/vertex form into general or factored:", null, "Finally, here is how to convert factored form into general or standard:", null, "This week in precalc 11, I continued learning about the connection between graphing and quadratic equations. One thing specifically that I learned about was how to plot the vertex on a graph, when given a quadratic equation. The “parent function” is like the original graph. It is created from the equation y=x². For this graph, the vertex is at the coordinates (0,0). This is what the parent function graph looks like:", null, "When graphing an equation different than y=x², there are a few ways to find the coordinates of the vertex. First, see if there is a last number (without a variable) in the equation. This tells you where the vertex will be on the y-axis. If the number is positive, move the vertex upwards (the amount of spaces the number says). If it is negative, move down. As you can see below, the parabola is still the same shape and size as the parent function, just shifted in a different direction. Here are some examples:\n\ny = x² + 2", null, "y = x² – 7", null, "If there is a number either added or subtracted from the x, this tells you where the vertex is on the x-axis. If the number is positive, move the vertex to the left. If it is negative, move to the right. Here are some examples:\n\ny = (x + 1)²", null, "y = (x – 3)²", null, "Finally, these two things can be combined in an equation, so the vertex has coordinates that do not include zero. Here are a few more examples:\n\ny = (x – 3)² + 4", null, "y = (x – 1)² + 1", null, "In my precalc 11 this week, we learned about the quadratic formula. This is another way to solve quadratic equations, other than factoring or completing the square. The quadratic formula looks like this:", null, "It is easy to solve an equation using the quadratic formula because all you do is put in the numbers, and use algebra to find the variable. To do this, you must find out what numbers in the polynomial are A, B and C. A is always the number with the x², B is always with the x, and C is always the last number, without a variable. Remember that when there is no number with an x, there is an invisible 1. Here are some examples of what A, B, and C are in the following polynomials.", null, "This is how to solve a polynomial using the quadratic formula:", null, "In the next equation, the quadratic formula is used, but the answers are 2 rational roots. This shows that the equation could have been factored from the start, rather than doing the quadratic formula, which sometimes takes longer. When you need to solve a quadratic equation, first check if the numbers can be factored, or if you can use the technique of completing the square. If not, using the quadratic formula will guarantee the correct answer.", null, "In my precalc 11 class this week, I learned about graphing, and how it can relate to a quadratic equation or function. A quadratic function is in the form y=ax² + bx + c\n\nThese are all quadratic equations: Even if they don’t look like it at the start, they can be moved around into the correct form.", null, "These graphs in curved shapes are called parabolas:", null, "", null, "", null, "", null, "When an equation creates a graph in a parabola, it is a quadratic function. Parabolas have a vertex, which is either the highest or lowest point. If it is the highest point on the graph, it is called the maximum point. If it is at the bottom, it is the minimum point. Here are some examples:", null, "This week in precalc 11, I learned how to factor a polynomial, specifically when there is a fraction within it. Here are some examples of polynomials with fractions, that can be factored:", null, "To be able to factor these easily, there should be only integers with the variables. This means you must find a greatest common denominator (GCD), so all the terms have the same number at the bottom of the fraction. Then, the fraction can be removed as a greatest common factor (GCF), and the polynomial can be factored. Here are the above examples, with the steps to take to factor:\n\nRemember, if there is a variable by itself without a number in front, there is always an invisible 1. Also, don’t forget that all numbers/variables are fractions, even if they aren’t shown that way at first. If a variable, like x, is not written as a fraction, it has a denominator of 1.", null, "", null, "You can also verify your answer when you are done, to check if it is correct. To do this, just take the final answer and use the distributive property with FOIL to get back to the polynomial you started with.\n\nIn week 5 of precalc 11, we started learning about factoring. This is a continuation of grade 10, but new factoring skills are being added on. One concept we learned about is factoring with a greatest common factor (GCF). This is when you remove a common factor from all the terms, so it becomes easier to factor. The GCF has to be something that is present in ALL terms. Remember, a variable, like x, can also be a part of the common factor. Here are some examples of binomials with a GCF:", null, "When you remove the GCF from a binomial or trinomial to factor, make sure to remove the same GCF from all terms. If there is a variable like x in two of the terms but not the other, then it cannot be part of the GCF that gets removed. For example:", null, "Finally, here are some more examples of how to remove the GCF from a binomial or trinomial. When you do this, the GCF is written in front, and the remaining the numbers are inside brackets. Sometimes this is all you do to simplify the question, but make sure to check if you can factor any further.\n\nIn my precalc 11 class this week, I learned how to rationalize a denominator. This happens when there is a fraction with a square root on the bottom. For example:", null, "When fractions are being simplified, it is better to show them with an integer on the bottom. If the denominator is not an integer, but a radical, you can rationalize it. To make the denominator a rational number, or a non-radical, multiply the whole fraction by 1. This is done my multiplying it by the radical on the bottom, that you want to get rid of. (Since the radical is on the top and bottom of a fraction it equals 1).\n\nThese fractions below are all equal to 1, because the numerator and denominator are the same:", null, "When you multiply the two fractions, make sure to multiply the radicals only with other radicals, and integers in front of the radicals (if it’s a mixed radical) with other integers. If there is no number in front of a radical, pretend there is a 1. Make sure not to multiply a radical with an integer! Here are a few examples of how to rationalize the denominator:\n\nIn precalc 11 class this week, we learned about adding and subtracting radical expressions. This involves combining like terms that are radicals. Like terms is something I had learned about before, but I didn’t realize it was possible with radicals. Terms are numbers, variables, and/or exponents in groups. Here are four examples of terms:", null, "When the variables and exponents in more than one term are the same, the terms are “like”. The coefficients (number in front of the variable) can be different. For example:", null, "When multiple radicands and their index are the same, they can be combined. For example, these radicals are like terms, because they have the same radicand and index (the square root of 4):", null, "It is important to remember that the coefficient can be different for each term, because that is what’s being combined. To combine like terms, add/subtract the coefficients based on the sign in front of them. If there is no sign, it is positive. Here are the steps to combine like terms that are radicals:", null, "If the radical has no number in front, there is an invisible coefficient of 1. Don’t forget to add or subtract it as well! Here is one final example:", null, "This week in precalc 11, I learned how to evaluate an exponent that is a fraction. In the textbook, this is known as “writing powers with rational exponents”. Since all fractions are rational numbers, it is possible to make fractions into exponents on numbers. Here is an example:", null, "Below are some other examples. As you can see, the fraction can be positive or negative:", null, "To solve a fractional exponent, you change the base number from being a power, into a radicand within a radical. In my class I learned the saying “flower power, because the root is always on the bottom”. This is a helpful way to remember that the denominator (or bottom number) in the fractional exponent becomes the index in the radical.\n\nThis example below demonstrates the steps of changing a number with a positive fractional exponent into a radical. The numerator (top of fraction), can be placed as the exponent either on just the radicand, or the entire radical. I prefer to do it whichever way makes the numbers easier to solve. After this is done, the radical can be further evaluated.", null, "This example shows the same steps, with a negative exponent. There are different ways to do this, but I chose the one I like best:", null, "This week in Pre-calculus 11, I learned about roots and powers. Something I hadn’t learned about before were mixed radicals, and how to create one from a regular radical. A mixed radical is similar to a mixed fraction, where there is a whole number and a fraction together. Here are some examples of mixed fractions:", null, "A mixed radical looks like the photo below, where there is a number inside the square root sign, as well as a number outside:", null, "To change a radical from being entire (only a number inside the square root sign) to mixed, you can follow the steps below. In step 2, make sure one of the numbers is a perfect square (9, 25, 49, etc.)", null, "To change a radical from mixed back to entire, follow the steps below. In step 2, don’t forget to add the outside number in twice. This will make sure you multiply it by itself, so it becomes a perfect square number.", null, "Here are two more examples:", null, "" ]	[ null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/11/IMG-1274.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/11/IMG-1275-1024x561.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/11/IMG-1273.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/11/IMG-1164.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/11/IMG-1165.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/11/IMG-1166.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/11/IMG-1167.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/11/IMG-1168.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/11/IMG-1170.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/11/IMG-1169.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/10/IMG-0818.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/10/IMG-0817.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/10/IMG-0819.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/10/IMG-0820.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/10/IMG-1073.jpg", null, "https://th.bing.com/th/id/OIP.t6sg7myBZwb8UVqlfnyWvgHaEk", null, "https://saylordotorg.github.io/text_elementary-algebra/section_12/f9c2941e92b902743bd9e5fcfd33a7df.jpg", null, "https://prod-qna-question-images.s3.amazonaws.com/answer/39aa0f1c-cb40-4f79-af32-b8d2d7a315c3/66d20e84-9537-49d9-a859-8234688c7f66/x54csdb.png", null, "https://www.rbjlabs.com/wp-content/uploads/2019/01/vertical-parabola-opens-down.png", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/10/IMG-1074.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/10/IMG-0749.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/10/IMG-0748.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/10/IMG-0747.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/10/IMG-0631.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/10/IMG-0627.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/10/IMG-0365.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/10/IMG-0359.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/09/IMG_0281.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/09/IMG_0282.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/09/IMG_0283.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/09/IMG_0284.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/09/IMG_0286.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/09/IMG_0235.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/09/IMG_0237.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/09/IMG_0238.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/09/IMG_0239.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/09/IMG_0118.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/09/IMG_0119.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/09/IMG_0120.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/09/IMG_0121.jpg", null, "https://myriverside.sd43.bc.ca/annabelles2019/files/2021/09/IMG_0122.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9348792,"math_prob":0.99491745,"size":10698,"snap":"2023-40-2023-50","text_gpt3_token_len":2489,"char_repetition_ratio":0.14793342,"word_repetition_ratio":0.03575025,"special_character_ratio":0.23051037,"punctuation_ratio":0.11383928,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99939156,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82],"im_url_duplicate_count":[null,10,null,10,null,10,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,null,8,null,8,null,8,null,8,null,8,null,null,null,null,null,null,null,7,null,7,null,null,null,null,null,10,null,10,null,10,null,10,null,10,null,9,null,9,null,9,null,9,null,9,null,9,null,9,null,9,null,9,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-12-08T03:04:47Z\",\"WARC-Record-ID\":\"<urn:uuid:d24a7cab-c156-4ea1-82ff-24cf75470d9c>\",\"Content-Length\":\"99987\",\"Content-Type\":\"application/http; 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https://dev.opencascade.org/content/curve-control-polygone	[ "# Curve from control polygone\n\nHi,\nI just started using this powerful OCC library (on a LINUX system) and I would very appreciate your help with the following problem: I am generating a curve from a given set of points by two methods: The points are interpolated or set as control points. Both curves seems to be generated as expected. In case of control points and writing points to file in between curve.FirstParameter() and curve.LastParameter() the curve is too short at both ends, as to see in the attached figure.\nAny suggestions where this comes from?\n\nThe curve is generated with the following code:\n\nint i;\nint degree=0;\n\n// Determine the degree\nif (controlPoints->Length() == 1)\n{\ncout exit(0);\n}\nif (controlPoints->Length() > maxDegree )\ndegree = maxDegree;\nelse if (controlPoints->Length() == 2)\ndegree = 1;\nelse if (controlPoints->Length() == 3)\ndegree = 2;\n\ncout TColgp_Array1OfPnt A_Poles(1, controlPoints->Length());\nTColStd_Array1OfReal A_Weights(1, controlPoints->Length());\nTColStd_Array1OfReal A_Knots(1, controlPoints->Length()+degree+1-2(degree-1));\nTColStd_Array1OfInteger A_Mult(1, controlPoints->Length()+degree+1-2(degree-1));\n\nfor (i=1;iLength();i++)\n{\nA_Poles.SetValue(i,controlPoints->Value(i));\nA_Weights.SetValue(i,1.0);\n}\nfor (i=1; i {\nA_Knots.SetValue(i,(double)(i-1)/(A_Knots.Length()-1));\nif(i==1 \|\| i==A_Knots.Length())\n{\nA_Mult.SetValue(i, degree);\n}\nelse\n{\nA_Mult.SetValue(i,1);\n}\ncout }\n\nreturn new Geom_BSplineCurve(A_Poles, A_Weights, A_Knots, A_Mult, degree, 0);", null, "Here the figure with the curve (plotted inbetween curve.FirstParameter() and curve.LastParameter()) and the control polygone.\n\nAttachments:", null, "SplineByControlPoints.png", null, "This is the expected behaviour when constructing a new nurbs curve. What you are looking for is probably Geom_Interpolate", null, "Jelle, thanks for helping! I actually want to use both methods of curve construction:\n\na) Array is taken as CONTROL POINTS: In this case I have the problem that the resulting curve is too short in case I use curve.FirstParameter() and curve.LastParameter() to get points. But, as to see from the latest figure, the curve looks nice!\n\nb) Array is to be INTERPOLATED: The resulting curve (see the latest figure) looks somewhat strange, especially at the second points. I used the following code:\n\nTColgp_HArray1OfPnt array = new TColgp_HArray1OfPnt(1, arrayIn->Length()); // sizing harray\n\nfor (i=1; i<=arrayIn->Length(); i++)\narray->SetValue(i , arrayIn->Value(i));\n\nGeomAPI_Interpolate anInterpolation(array, / Periodicity /Standard_False, / Precision */ Precision::Approximation());\nanInterpolation.Perform();\nreturn anInterpolation.Curve();\n\nAny ideas for my problems?\n\nAttachments:", null, "Curves.png", null, "Sure thing.\nWith Geom_Interpolate you can set tangent directions. If you do that for the first and last vertices you should be able to get a better result.\nFinally, what happens if you go with the 1st method and use a curve of degree 2?\n\n-jelle", null, "Ulrich,\n\nFor bspline curve to start and end in the first and last control points, you need to set multiplicity of first and last knots to degree+1, not degree as you do in the code snapshot above.\n\nAndrey" ]	[ null, "https://dev.opencascade.org/sites/default/files/images/userpic_default.png", null, "https://dev.opencascade.org/modules/file/icons/image-x-generic.png", null, "https://dev.opencascade.org/sites/default/files/images/userpic_default.png", null, "https://dev.opencascade.org/sites/default/files/images/userpic_default.png", null, "https://dev.opencascade.org/modules/file/icons/image-x-generic.png", null, "https://dev.opencascade.org/sites/default/files/images/userpic_default.png", null, "https://dev.opencascade.org/sites/default/files/images/userpic_default.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.81837827,"math_prob":0.95019025,"size":3177,"snap":"2021-04-2021-17","text_gpt3_token_len":886,"char_repetition_ratio":0.14024583,"word_repetition_ratio":0.0,"special_character_ratio":0.28360087,"punctuation_ratio":0.17540984,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9939273,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14],"im_url_duplicate_count":[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-04-22T02:55:44Z\",\"WARC-Record-ID\":\"<urn:uuid:87883b1b-ddb2-4dea-929d-fecb67fbe79d>\",\"Content-Length\":\"33277\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:7116d85b-b23e-40d6-b6f3-003276cc3c6b>\",\"WARC-Concurrent-To\":\"<urn:uuid:9dbad1dc-e6e2-454a-853f-6a058bc61cc3>\",\"WARC-IP-Address\":\"188.165.114.136\",\"WARC-Target-URI\":\"https://dev.opencascade.org/content/curve-control-polygone\",\"WARC-Payload-Digest\":\"sha1:S7LXXVPBVGBCSEVKQLHKHJDZZXPT5WYL\",\"WARC-Block-Digest\":\"sha1:MXWLBIX6BD5SBXROHSRZQBJD6D2YTLVL\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-17/CC-MAIN-2021-17_segments_1618039560245.87_warc_CC-MAIN-20210422013104-20210422043104-00487.warc.gz\"}"}
https://www.calculatoratoz.com/en/diagonal-of-decagon-across-five-sides-given-diagonal-across-two-sides-calculator/Calc-27880	[ "## Credits\n\nSt Joseph's College (SJC), Bengaluru\nMona Gladys has created this Calculator and 1000+ more calculators!\nWalchand College of Engineering (WCE), Sangli\nShweta Patil has verified this Calculator and 1000+ more calculators!\n\n## Diagonal of Decagon across five sides given diagonal across two sides Solution\n\nSTEP 0: Pre-Calculation Summary\nFormula Used\ndiagonal_across_5_sides = ((2Diagonal across two sides)/(sqrt(10+2sqrt(5))))(1+sqrt(5))\nd5 = ((2d2)/(sqrt(10+2sqrt(5))))(1+sqrt(5))\nThis formula uses 1 Functions, 1 Variables\nFunctions Used\nsqrt - Squre root function, sqrt(Number)\nVariables Used\nDiagonal across two sides - Diagonal across two sides is a straight line joining two opposite sides which is across two sides of the given polygon. (Measured in Meter)\nSTEP 1: Convert Input(s) to Base Unit\nDiagonal across two sides: 5 Meter --> 5 Meter No Conversion Required\nSTEP 2: Evaluate Formula\nSubstituting Input Values in Formula\nd5 = ((2d2)/(sqrt(10+2sqrt(5))))(1+sqrt(5)) --> ((25)/(sqrt(10+2sqrt(5))))(1+sqrt(5))\nEvaluating ... ...\nd5 = 8.5065080835204\nSTEP 3: Convert Result to Output's Unit\n8.5065080835204 Meter --> No Conversion Required\n8.5065080835204 Meter <-- Diagonal across five sides\n(Calculation completed in 00.016 seconds)\n\n## < 9 Diagonal of Decagon across five sides Calculators\n\nDiagonal of Decagon across five sides given area\ndiagonal_across_5_sides = (sqrt((2Area)/(5sqrt(5+2sqrt(5)))))(1+sqrt(5)) Go\nDiagonal of Decagon across five sides given diagonal across three sides\ndiagonal_across_5_sides = ((2Diagonal across three sides)/(sqrt(14+6sqrt(5))))(1+sqrt(5)) Go\nDiagonal of Decagon across five sides given diagonal across two sides\ndiagonal_across_5_sides = ((2Diagonal across two sides)/(sqrt(10+2sqrt(5))))(1+sqrt(5)) Go\nDiagonal of Decagon across five sides given diagonal across four sides\ndiagonal_across_5_sides = (Diagonal across four sides/(sqrt(5+2sqrt(5))))(1+sqrt(5)) Go\nDiagonal of Decagon across five sides given inradius\nDiagonal of Decagon across five sides given height\ndiagonal_across_5_sides = (Height/((sqrt(5+2sqrt(5)))))(1+sqrt(5)) Go\nDiagonal of Decagon across five sides given circumradius\nDiagonal of Decagon across five sides given perimeter\ndiagonal_across_5_sides = (Perimeter/10)(1+sqrt(5)) Go\nDiagonal of Decagon across five sides\ndiagonal_across_5_sides = Side(1+sqrt(5)) Go\n\n### Diagonal of Decagon across five sides given diagonal across two sides Formula\n\ndiagonal_across_5_sides = ((2Diagonal across two sides)/(sqrt(10+2sqrt(5))))(1+sqrt(5))\nd5 = ((2d2)/(sqrt(10+2sqrt(5))))(1+sqrt(5))\n\n## What is a decagon?\n\nDecagon is a polygon with ten sides and ten vertices. A decagon, like any other polygon, can be either convex or concave, as illustrated in the next figure. A convex decagon has none of its interior angles greater than 180°. To the contrary, a concave decagon (or polygon) has one or more of its interior angles greater than 180°. A decagon is called regular when its sides are equal and also its interior angles are equal.\n\n## How to Calculate Diagonal of Decagon across five sides given diagonal across two sides?\n\nDiagonal of Decagon across five sides given diagonal across two sides calculator uses diagonal_across_5_sides = ((2Diagonal across two sides)/(sqrt(10+2sqrt(5))))(1+sqrt(5)) to calculate the Diagonal across five sides, The Diagonal of decagon across five sides given diagonal across two sides formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across two sides of decagon and diagonal across five sides of decagon. Diagonal across five sides and is denoted by d5 symbol.\n\nHow to calculate Diagonal of Decagon across five sides given diagonal across two sides using this online calculator? To use this online calculator for Diagonal of Decagon across five sides given diagonal across two sides, enter Diagonal across two sides (d2) and hit the calculate button. Here is how the Diagonal of Decagon across five sides given diagonal across two sides calculation can be explained with given input values -> 8.506508 = ((25)/(sqrt(10+2sqrt(5))))(1+sqrt(5)).\n\n### FAQ\n\nWhat is Diagonal of Decagon across five sides given diagonal across two sides?\nThe Diagonal of decagon across five sides given diagonal across two sides formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across two sides of decagon and diagonal across five sides of decagon and is represented as d5 = ((2d2)/(sqrt(10+2sqrt(5))))(1+sqrt(5)) or diagonal_across_5_sides = ((2Diagonal across two sides)/(sqrt(10+2sqrt(5))))(1+sqrt(5)). Diagonal across two sides is a straight line joining two opposite sides which is across two sides of the given polygon.\nHow to calculate Diagonal of Decagon across five sides given diagonal across two sides?\nThe Diagonal of decagon across five sides given diagonal across two sides formula is defined as a straight line joining two opposite corners of the decagon , where diagonal = diagonal across two sides of decagon and diagonal across five sides of decagon is calculated using diagonal_across_5_sides = ((2Diagonal across two sides)/(sqrt(10+2sqrt(5))))(1+sqrt(5)). To calculate Diagonal of Decagon across five sides given diagonal across two sides, you need Diagonal across two sides (d2). With our tool, you need to enter the respective value for Diagonal across two sides and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.\nHow many ways are there to calculate Diagonal across five sides?\nIn this formula, Diagonal across five sides uses Diagonal across two sides. We can use 9 other way(s) to calculate the same, which is/are as follows -\n• diagonal_across_5_sides = Side(1+sqrt(5))\n• diagonal_across_5_sides = (Diagonal across four sides/(sqrt(5+2sqrt(5))))(1+sqrt(5))\n• diagonal_across_5_sides = ((2Diagonal across three sides)/(sqrt(14+6sqrt(5))))(1+sqrt(5))\n• diagonal_across_5_sides = ((2Diagonal across two sides)/(sqrt(10+2sqrt(5))))(1+sqrt(5))\n• diagonal_across_5_sides = (Perimeter/10)(1+sqrt(5))\n• diagonal_across_5_sides = (sqrt((2Area)/(5sqrt(5+2sqrt(5)))))(1+sqrt(5))\n• diagonal_across_5_sides = (Height/((sqrt(5+2sqrt(5)))))*(1+sqrt(5))", null, "" ]	[ null, "https://www.calculatoratoz.com/Images/share.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.91923076,"math_prob":0.998733,"size":1547,"snap":"2021-43-2021-49","text_gpt3_token_len":354,"char_repetition_ratio":0.24821776,"word_repetition_ratio":0.17768595,"special_character_ratio":0.22624435,"punctuation_ratio":0.071428575,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99999475,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-12-05T08:50:16Z\",\"WARC-Record-ID\":\"<urn:uuid:93f423e4-21f0-43bf-9783-aabd61d2f2cc>\",\"Content-Length\":\"116691\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:0d2185a8-dce5-42f3-b045-20b785b39bf4>\",\"WARC-Concurrent-To\":\"<urn:uuid:69b0cf13-6c26-46e9-bb6c-e2e41bb18e47>\",\"WARC-IP-Address\":\"67.43.15.151\",\"WARC-Target-URI\":\"https://www.calculatoratoz.com/en/diagonal-of-decagon-across-five-sides-given-diagonal-across-two-sides-calculator/Calc-27880\",\"WARC-Payload-Digest\":\"sha1:S2ZRJGQOAIQDFIXVDVUMQHHIAAQWBLDM\",\"WARC-Block-Digest\":\"sha1:7KMBT4LB3WFMPJQJJRXUFCMA4QX3QTEF\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-49/CC-MAIN-2021-49_segments_1637964363149.85_warc_CC-MAIN-20211205065810-20211205095810-00277.warc.gz\"}"}
https://www.saving.org/area-calculator/m/87/sk	[ "#### 87 square miles to square Kilometers\n\nHow many km2 in 87 sq mi?\n\n#### Calculate Area\n\n87 square miles to square Kilometers. How many? What's the calculation? How much? What is 87 square miles in square Kilometers? 87sq mi in km2? How many km2 are there in 87 sq mi? Calculate between square miles and square Kilometers. How big is 87 square miles in km2?" ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.89001113,"math_prob":0.99631035,"size":268,"snap":"2022-27-2022-33","text_gpt3_token_len":74,"char_repetition_ratio":0.23106061,"word_repetition_ratio":0.044444446,"special_character_ratio":0.26492536,"punctuation_ratio":0.15517241,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99424416,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-08-18T10:52:04Z\",\"WARC-Record-ID\":\"<urn:uuid:0848abdf-cf3d-44f2-82d5-ddbeb427aa86>\",\"Content-Length\":\"7697\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:79149f2d-86f2-4f75-98a6-d030f91a3e67>\",\"WARC-Concurrent-To\":\"<urn:uuid:620d16f3-8d13-468f-8605-02ad974903ca>\",\"WARC-IP-Address\":\"50.17.191.130\",\"WARC-Target-URI\":\"https://www.saving.org/area-calculator/m/87/sk\",\"WARC-Payload-Digest\":\"sha1:GZOWBZPURZW5VHD7BURAYKZMO4V3WVPD\",\"WARC-Block-Digest\":\"sha1:DTSNWT546WXDBWVQZPEDIOTSWPGGWYVL\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-33/CC-MAIN-2022-33_segments_1659882573193.35_warc_CC-MAIN-20220818094131-20220818124131-00609.warc.gz\"}"}
https://unitchefs.com/meters/feet/1.55/	[ "# 1.55 Meters to Feet\n\n=\n1.55 Meters =\n5.0853018372703\n(decimal)\n5.0853018372703 x 100\n(scientific notation)\n3,875\n762\n(fraction)\nFeet\n\n## Meters to Feet Conversion Formula\n\n[X] ft = 3.2808398950131 × [Y] m\nwhere [X] is the result in ft and [Y] is the amount of m we want to convert\n\n## 1.55 Meters to Feet Conversion breakdown and explanation\n\n1.55 m to ft conversion result above is displayed in three different forms: as a decimal (which could be rounded), in scientific notation (scientific form, standard index form or standard form in the United Kingdom) and as a fraction (exact result). Every display form has its own advantages and in different situations particular form is more convenient than another. For example usage of scientific notation when working with big numbers is recommended due to easier reading and comprehension. Usage of fractions is recommended when more precision is needed.\n\nIf we want to calculate how many Feet are 1.55 Meters we have to multiply 1.55 by 1250 and divide the product by 381. So for 1.55 we have: (1.55 × 1250) ÷ 381 = 1937.5 ÷ 381 = 5.0853018372703 Feet\n\nSo finally 1.55 m = 5.0853018372703 ft" ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8999834,"math_prob":0.98894113,"size":796,"snap":"2019-35-2019-39","text_gpt3_token_len":196,"char_repetition_ratio":0.09217171,"word_repetition_ratio":0.0,"special_character_ratio":0.29522613,"punctuation_ratio":0.11464968,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9964854,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-09-22T11:00:02Z\",\"WARC-Record-ID\":\"<urn:uuid:6ba1de19-76c8-4f57-8789-617c62b06fd9>\",\"Content-Length\":\"16879\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:8855b294-4e02-4b7f-9d91-d85ae252b62d>\",\"WARC-Concurrent-To\":\"<urn:uuid:a7b4a8e6-8658-4e4c-8fc1-ee013673453d>\",\"WARC-IP-Address\":\"104.25.108.8\",\"WARC-Target-URI\":\"https://unitchefs.com/meters/feet/1.55/\",\"WARC-Payload-Digest\":\"sha1:XL5YK3NNWAT37DM76W2N5JINSBMNCE2L\",\"WARC-Block-Digest\":\"sha1:ND6R5TSDSXDOTQVKBUB2AOQ32WZEATQM\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-39/CC-MAIN-2019-39_segments_1568514575484.57_warc_CC-MAIN-20190922094320-20190922120320-00547.warc.gz\"}"}
https://maharashtraboardsolutions.in/class-6-maths-solutions-chapter-4-practice-set-12/	[ "# Maharashtra Board Practice Set 12 Class 6 Maths Solutions Chapter 4 Operations on Fractions\n\nBalbharti Maharashtra State Board Class 6 Maths Solutions covers the Std 6 Maths Chapter 4 Operations on Fractions Class 6 Practice Set 12 Answers Solutions.\n\n## 6th Standard Maths Practice Set 12 Answers Chapter 4 Operations on Fractions\n\nQuestion 1.\nMultiply:\ni. $$\\frac{7}{5} \\times \\frac{1}{4}$$\nii. $$\\frac{6}{7} \\times \\frac{2}{5}$$\niii. $$\\frac{5}{9} \\times \\frac{4}{9}$$\niv. $$\\frac{4}{11} \\times \\frac{2}{7}$$\nv. $$\\frac{1}{5} \\times \\frac{7}{2}$$\nvi. $$\\frac{9}{7} \\times \\frac{7}{8}$$\nvii. $$\\frac{5}{6} \\times \\frac{6}{5}$$\nviii. $$\\frac{6}{17} \\times \\frac{3}{2}$$\nSolution:\ni. $$\\frac{7}{5} \\times \\frac{1}{4}$$", null, "ii. $$\\frac{6}{7} \\times \\frac{2}{5}$$", null, "iii. $$\\frac{5}{9} \\times \\frac{4}{9}$$", null, "iv. $$\\frac{4}{11} \\times \\frac{2}{7}$$", null, "v. $$\\frac{1}{5} \\times \\frac{7}{2}$$", null, "vi. $$\\frac{9}{7} \\times \\frac{7}{8}$$", null, "vii. $$\\frac{5}{6} \\times \\frac{6}{5}$$", null, "viii. $$\\frac{6}{17} \\times \\frac{3}{2}$$", null, "Question 2.\nAshokrao planted bananas on $$\\frac { 2 }{ 7 }$$ of his field of 21 acres. What is the area of the banana plantation?\nSolution:\nArea of banana plantation is $$\\frac { 2 }{ 7 }$$ of 21\n∴ Area of banana plantation", null, "∴ Area of banana plantation is 6 acres\n\nQuestion 3.\nOf the total number of soldiers in our army, $$\\frac { 4 }{ 9 }$$ are posted on the northern border and one-third of them on the north-eastern border. If the number of soldiers in the north is 5,40,000, how many are posted in the north-east?\nSolution:\nNumber of soldiers posted on northern border = 5,40,000\nSince, number of soldiers in north-east = one third of the soldiers on northern border\n∴ Number of soldiers in the north-east", null, "∴ The number of soldiers in the north-east is 1,80,000." ]	[ null, "https://www.learncram.com/wp-content/uploads/2019/08/Maharashtra-Board-Class-6-Maths-Solutions-Chapter-4-Operations-on-Fractions-Practice-Set-12-1.png", null, "https://www.learncram.com/wp-content/uploads/2019/08/Maharashtra-Board-Class-6-Maths-Solutions-Chapter-4-Operations-on-Fractions-Practice-Set-12-2.png", null, "https://www.learncram.com/wp-content/uploads/2019/08/Maharashtra-Board-Class-6-Maths-Solutions-Chapter-4-Operations-on-Fractions-Practice-Set-12-3.png", null, "https://www.learncram.com/wp-content/uploads/2019/08/Maharashtra-Board-Class-6-Maths-Solutions-Chapter-4-Operations-on-Fractions-Practice-Set-12-4.png", null, "https://www.learncram.com/wp-content/uploads/2019/08/Maharashtra-Board-Class-6-Maths-Solutions-Chapter-4-Operations-on-Fractions-Practice-Set-12-5.png", null, "https://www.learncram.com/wp-content/uploads/2019/08/Maharashtra-Board-Class-6-Maths-Solutions-Chapter-4-Operations-on-Fractions-Practice-Set-12-6.png", null, "https://www.learncram.com/wp-content/uploads/2019/08/Maharashtra-Board-Class-6-Maths-Solutions-Chapter-4-Operations-on-Fractions-Practice-Set-12-7.png", null, "https://www.learncram.com/wp-content/uploads/2019/08/Maharashtra-Board-Class-6-Maths-Solutions-Chapter-4-Operations-on-Fractions-Practice-Set-12-8.png", null, "https://www.learncram.com/wp-content/uploads/2019/08/Maharashtra-Board-Class-6-Maths-Solutions-Chapter-4-Operations-on-Fractions-Practice-Set-12-9.png", null, "https://www.learncram.com/wp-content/uploads/2019/08/Maharashtra-Board-Class-6-Maths-Solutions-Chapter-4-Operations-on-Fractions-Practice-Set-12-10.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7976489,"math_prob":0.99999106,"size":1663,"snap":"2022-05-2022-21","text_gpt3_token_len":597,"char_repetition_ratio":0.22724533,"word_repetition_ratio":0.29508197,"special_character_ratio":0.40288636,"punctuation_ratio":0.10951009,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99983245,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20],"im_url_duplicate_count":[null,4,null,4,null,4,null,4,null,4,null,4,null,4,null,4,null,4,null,4,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-05-26T17:54:25Z\",\"WARC-Record-ID\":\"<urn:uuid:9b7e2c86-60cb-4ef4-8058-61b20ec891b5>\",\"Content-Length\":\"37920\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:dfc12fc8-cd95-4a54-8adf-c7cb42558e53>\",\"WARC-Concurrent-To\":\"<urn:uuid:a281ec0b-1c41-4c9e-866e-f22631092359>\",\"WARC-IP-Address\":\"172.105.50.56\",\"WARC-Target-URI\":\"https://maharashtraboardsolutions.in/class-6-maths-solutions-chapter-4-practice-set-12/\",\"WARC-Payload-Digest\":\"sha1:WZQKV7JSRJOVIXHY5NXJWLADHOWEHCPU\",\"WARC-Block-Digest\":\"sha1:WX4J4MT3D4PMKA6HBYYNH7C7KKQGGNZW\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-21/CC-MAIN-2022-21_segments_1652662619221.81_warc_CC-MAIN-20220526162749-20220526192749-00029.warc.gz\"}"}
https://snapessays.com/study/question/question/94447575_view.html	[ "Solution In the short run a firm s total costs of producing 100 units\nSolution In the short run a firm s total costs\nSolution In the short run a firm\nthe short run a firm s total costs of producing units\nSolution In the short run a\nfirm s total costs of producing units\nSolution In the short run\nSolution In\n(Solution) - In the short run, a firm's total costs of producing 100 units\n\n Category:- Words: Amount: \\$13 Writer: 0\n\nPaper instructions\n\n\"In the short run, a firm's total costs of producing 100 units of output equal \\$10,000. If it produces one more unit, its total costs will increase to \\$10,150.;a. What is the marginal cost of the 101st unit of output?;b. What is the firm's average total cost of producing 100 units?;c. What is the firm's average total cost of producing 101 units?", null, "" ]	[ null, "https://www.paypalobjects.com/digitalassets/c/website/marketing/apac/C2/logos-buttons/optimize/Full_Online_Tray_RGB.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7550398,"math_prob":0.9213175,"size":365,"snap":"2023-40-2023-50","text_gpt3_token_len":84,"char_repetition_ratio":0.19944598,"word_repetition_ratio":0.47457626,"special_character_ratio":0.21917808,"punctuation_ratio":0.05970149,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9982603,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-29T10:40:54Z\",\"WARC-Record-ID\":\"<urn:uuid:a2b09170-ac12-4bc4-8e69-f3aea79e8217>\",\"Content-Length\":\"33857\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:0e92d322-fe5b-4971-a64a-e489efda13e1>\",\"WARC-Concurrent-To\":\"<urn:uuid:2b1dd6f6-b5ac-472f-a841-87e068021284>\",\"WARC-IP-Address\":\"104.21.74.243\",\"WARC-Target-URI\":\"https://snapessays.com/study/question/question/94447575_view.html\",\"WARC-Payload-Digest\":\"sha1:KOKA2NLRTILB4CJJD5DPM4AYQIIXOUX7\",\"WARC-Block-Digest\":\"sha1:UFDVOU27WPB6SRCWWZIHUGB4N4MASDN4\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233510501.83_warc_CC-MAIN-20230929090526-20230929120526-00498.warc.gz\"}"}
https://ru.scribd.com/document/114161967/Fluid-Sys-w-Chart	[ "You are on page 1of 7\n\n# Engs 22 Systems\n\nSummer 2004\n\n## LUMPED FLUID SYSTEMS\n\nI. General Introduction and Applications:\nApplications: Fluid delivery systems; plumbing. For water or other fluids, for direct use by people, or for industrial operations, such as in chemical plants. Fluid cooling systems. Fluid (hydraulic) power systems, used in industry, aerospace, and automotive applications. Medical: blood flow, etc. Hydrology; transport of nutrients, and pollutants as well as water in groundwater and in streams, rivers, and lakes.\n\nFluid systems either involve essentially non-compressible liquids in which case they are often called hydraulic systems or compressible gases in which case they are often called pneumatic systems. The terms hydraulic and pneumatic are most common in referring to systems that use pressurized fluid used to provide power, for the purpose of causing motion (actuation). For example, hydraulic systems are used to control flaps on airplane wings as well as apparatus on bulldozers. We will focus primarily on hydraulic systems, which are simpler to analyze than pneumatic systems. In commenting on hydraulic power systems, Woods and Lawrence (Modeling and Simulation of Dynamic Systems, Prentice Hall, 1997) state: The main reason that hydraulic and pneumatic systems are so popular compared to their electro-mechanical counterparts is the power density capability of pumps and actuators. Electromagnetic motors, generators, and actuators are limited by magnetic field saturation and can produce up to about 200 pounds per square inch of actuator. In hydraulic systems, 3000 to 8000 pounds per square inch of actuator is common in aircraft applications, and 1000 pounds per square inch of actuator is common in industrial applications. Therefore, the hydraulic systems required to produce a given force output are much smaller. A second advantage of fluid control systems is that the fluid circulating to and from an actuator removes the heat generated by the actuator that is doing the work. This heat follows the fluid back to a reservoir to be dissipated in a better location than inside the actuator. Electromechanical actuators and motors have limited ability to dissipate heat to the surrounding environment. Heat is the predominate damaging mechanism in electric and electronic systems. Although fluid systems are often taught in terms of hydraulic power systems (just as chemical dynamics is often taught in terms in industrial reactor design), the applications of lumped analysis of fluid systems is much broader (just as the principles of chemical dynamics apply to modeling resource systems). The list at the start of this section hints at some of the wide range of other applications of lumped fluid system analysis.\n\nII.\n\n## State Variables, Components, and Accounting Equations\n\nA. State Variables\nThe following variables are important in characterization and analysis of fluid systems: q = volumetric flow (m3/s or other units) v = volume (m3)(e.g., volume of fluid contained in a vessel.) h = height of fluid in a vessel (m)\n\n## Fluid Systems Analysis\n\nPage 1\n\nEngs 22 Systems\n\nSummer 2004\n\np = pressure (N/m2) Pressure is the force per unit area exerted by a fluid. Just as in electrical systems we are typically only interested in voltage differences, in fluid systems we are typically interested in pressure differences. Thus, it is usually possible to interchange absolute pressure and gauge pressure, pg, which is defined as the pressure relative to atmospheric pressure (Pa = 1.01 x 105 N/m2).\n\nB. Elements\nThe primary elements in fluid systems are resistance, capacitance and intertance, which are analogous to electrical resistance, capacitance, and inductance, respectively. Resistance. In electrical systems, the linear approximation v = iR, is usually so close to exact that it can be considered a physical law (Ohms law). In fluid systems, however, linear behavior of fluid resistance, p = qR is rare, and most practical valves, pipes, etc. behave nonlinearly, following a law such as q = K p . The detailed analysis of which model is appropriate for which situation is a topic for a fluid dynamics course, not a systems course. Our goal is to figure out how to model a system given models of the individual elements. For using either the linear fluid resistance relationship p = qR or the nonlinear relationship q = K p , the key thing to remember is that the pressure of interest is the pressure difference across the element of interest. A pipe with resistance R between two chambers each with 100 kPa pressure in them will not have any flow in it, even though the pressure in the pipe is 100 kPa. But if one has 100 kPa and the other 99 kPa, there will be a pressure difference of 1 kPa, and there will be flow (from the higher pressure to the lower pressure). If there were 1 kPa in one and 2 kPa in the other, the flow would be the same as with 99 kPa and 100 kPa. Thus, when setting up an analysis of the system, it is important to label the pressures of interest on the diagram, and be sure to write equations using the only the defined variables. Capacitance. An electrical capacitor has increasing charge storage with increasing voltage. A fluid capacitor has increasing fluid storage with increasing pressure, and is defined by the equation\n\nVL = Cp .\n\n\n\nExample of a physical device that provides fluid capacitance: an open-top tank as shown in Fig. 1.\nFigure 1. An open reservoir fluid capacitor The force at the bottom of a reservoir due to the weight of the fluid is mg = VLg where g is the earths gravitational constant, Top of reservoir and m is the mass of fluid, equal to VL where is the density open to the atmosphere of the fluid, and VL is the volume of fluid in the tank, assuming the side walls of the tank are vertical. The total pressure on the inside of the bottom tank wall is a result of this pressure plus the Pa atmopheric pressure Pa. However, we are more likely to be interested in the pressure difference between inside and outside, Liquid at the bottom of the tank where the pipe connects, as labeled p h VL in Fig.1. The pressure difference is just\n\np=\n\ngVL\nA\n\n= gh\n\n\n\n## + P Liquid flow into the capacitor q Page 2\n\nwhere A is the area of the base of the tank, which must be the\nFluid Systems Analysis\n\nEngs 22 Systems\n\nSummer 2004\n\nsame all the way up since we assumed the side walls were vertical. What we see is a proportionality between pressure and volume, which is the defining characteristic of a fluid capacitor. We can write it in a more standard form as:\n\nA VL = p g\n\n\n\nThis equation is the same as , the definition of fluid capacitance, with C = g . Note that if the walls were not vertical, the volume/pressure relationship would not be as simple as , and we would have a nonlinear fluid capacitance. When the fluid capacitance C is large, corresponding to a tank with a large area, a large increase in volume is accompanied by a small increase in pressure. The units of capacitance are volume/pressure, or m3/(N/m2) = m5/N. The open top tank is one way to achieve fluid capacitance. Others include a spring-loaded chamber, or the same thing with an air spring, as shown in Fig. 2. Calculations of the capacitance achieved from these devices is addressed in the linearization and nonlinear fluid elements handout.\n\nAir space\n\nPiston\n\nFluid\n\nFluid\n\n## Fig. 2. Two other types of fluid capacitors.\n\nAs with electrical capacitance, differentiation of provides a very useful differential equation that can be directly applied to set up a state-variable equation, in this case using pressure as a state variable: dp/dt = q/C Note that definitions of the polarity of each variable are essential; this equation is correct for the polarities shown in Fig. 1, but would be incorrect for flow defined in the opposite direction.\n\n## Fluid Systems Analysis\n\nPage 3\n\nEngs 22 Systems\n\nSummer 2004\n\nInertance. Inertance arises as the result of the momentum of a flowing fluid. Consider an incompressible fluid element flowing down a pipe with constant cross sectional area A with as shown in Figure 3. Treating this as a mass subject to two forces p1A and p2A, we find: m v = A(p1 p2) = LA v\n\np1 A\n\np2 A\n\nL 1 2\n\n\n\np =\n\nL\nA\n\n& q\n\n## Figure 4. Variables for intertance.\n\n\n\nThis equation is a lot like the equation for an inductor, di v = L dt . Considering this analogy, we define\n\n& intertance I = L/A, and can be written p = Iq . Here, the p must be understood to be the pressure difference across the inertance, as defined in Fig. 4.\n\nPumps. Pumps act as sources, analogous to voltage or current sources in electrical systems. Just as real power supplies dont quite maintain constant voltage, real pumps dont maintain constant pressure or flow. The deviations tend to be large for pumps. The detailed modeling of pumps is beyond the scope of this courseit is the study of an element, not of a system. However, it may be useful to know that centrifugal pumps (which use centrifugal force to generate pressure) can maintain roughly constant pressure at low flow rates, and so act approximately as pressure sources. However, their pressure drops rapidly and nonlinearly with increasing flow. Positive displacement pumps such as piston pumps deliver a fixed amount of fluid each cycle, and so behave like flow sources.\n\nC. Accounting Equations.\nMass Balance. At any given node, where pipes connect, mass balance requires that flow in equals flow out. If flows are all defined inwards, this can be written as the sum of flows equal to zero. qin1 + qin2 + = qout1 + qout2 + or qin = 0 \n\nIn either case, this is directly analogous to Kirchoffs current law. Kirchoffs Pressure Law As discussed above, both fluid resistor behavior and intertance effects depend on the pressure difference across an element. Thus we are often interested in pressure differences rather than absolute pressures. The most commonly used pressure measurement, gauge pressure, is also defined as a pressure difference: the difference between measured pressure and atmospheric pressure.\nFluid Systems Analysis Page 4\n\nEngs 22 Systems\n\nSummer 2004\n\nIn electrical systems, we saw that Kirchoffs voltage law was not a physical law related to pressure, but rather is just a consequence of defining voltage as a difference. Thus, if we discuss pressures as differences, we have an analogous law: the sum of pressure differences around a loop must be zero. Note that the loop may be any path through space it need not follow a pipe. Example: A tank emptying through a pipe. Consider the tank shown at right emptying through a pipe. With the pressures defined as shown, we can follow the dotted line and write that the total pressure around that loop is equal to zero. Starting in the air, we go into the tank (across the wall) and the pressure increases by pc. Next, we follow the dotted line into the pipe, and along the pipe back into the air. Thus, the total of the pressure differences around that loop is pC - pP = 0 \nC Figure 5. An open reservoir fluid capacitor emptying through a pipe Top of reservoir open to the atmosphere\n\nPa Liquid VC + qC + qP pp pC -\n\nThis is assuming that the pressure drop in the fittings at the bottom of the tank is negligible. If not, we could include them in the resistance of the pipe and put the plus sign for the pressure drop across the pipe up in the tank. From mass balance we have qC = -qP \n\nIf we assume that the pipe has negligible intertance, we can consider just its resistance, and we have the two element laws: dpC/dt = qC/C qp = pP/RP , \n\nThats all the equations we need. The rest of the work is just substituting to get the RHS of the capacitor equation in terms of the state variable for the capacitor, pC. We obtain: dpC/dt = - pC/( RP C) Head We discussed the effect of fluid height on pressure in the context of an open tank as a capacitor. Often, however, different elements may be located at different elevations, and these differences may be large compared to the elevation difference between the top and bottom of a tank. These height differences also affect pressure. These pressures are termed head, a term that may refer to either the height or the resulting pressure. Head may be an unavoidable consequence of the locations of system components, or it may be deliberately employed to achieve pressure, as in a water tank located atop a tower. \n\n## Fluid Systems Analysis\n\nPage 5\n\nEngs 22 Systems\n\nSummer 2004\n\nC Figure 6. An open reservoir fluid capacitor emptying through a pipe Head complicates pressure calculations, and it usually must be considered when writing KPL Top of reservoir open to the (Kirchoffs pressure law) equations. In principal, atmosphere KPL is not changed. The sum of pressure differences is still zero around a loop. Consider the tank in Figure 6. Simply by definitions of the Pa two pressures, the same equation must hold.\n\npC - pP = 0\n\n\n\nLiquid VC + qC + qP pp pC -\n\nThus, it is tempting to conclude that the system equations are identical, and the head has no effect. However, what is different is that the pipe can no longer be simply treated as a fluid resistance, as it also includes some head. Writing the equation for that resistance with head and getting the signs right is tricky. An easier way to approach the problem is to separate the head and the resistance, and draw the model as in Fig. 7. Now, with the signs defined in Fig. 7, it is easy to write the correct pressure equation: p C + ph - p R = 0 \n\n## Perhaps less obvious is the sign on the equation: ph = ghh \n\nThe sign here is can be chosen by simply considering the case in which there is nothing else going on but the headno flow. The pressure at the + sign for ph will clearly be larger than the pressure at the sign, as a result of the head. Hence the signs as marked in Fig. 7 and in . Now we can derive a complete system model, from , , , , and a modified version of , which only needs a minor modification to substitute pressure across the resistance effect of the pipe, pR where had total pressure across the pipe pP. qp = pR/RP \n\n## Pa Liquid VC + qC Zero resistance, zero intertance fictional pipe. pC -\n\nhC\n\nhh\n\nph\n\n+ +\n\nqP pR\n\nSubstituting, we obtain the new system model: dpC/dt = -(ghh + pC)/( RP C) \n\nBoth and can be solved by any of the methods we have developed in the course, but since they are first-order linear equations, the first-order solution method would be a good choice. Fluid systems often have nonlinear elements and must be solved numerically.\n\n## Fluid Systems Analysis\n\nPage 6\n\nEngs 22 Systems\n\nFluid Elements\nSymbol Description A through variable. What goes in comes out (except for a capacitor). An across variabledefined as the difference of this quantity across the element. Resistance, due to pipe or constriction. In real life, it is often nonlinear. Dissipation Units m3/s (`/s) Pa = N/m2 R = p/q = Pa/( m3/s) Can also write: Pas/m3 = Ns/m5 W Calculation\n\nSummer, 2004\n\n## Electrical Analogy i (current) v (voltage)\n\nDiscussed separately\n\nv = iR i2R = v2/R\n\nThis is a valve symbol; sometimes used without the handle for a non-variable resistor. Often just a pipe is shown.\n\ndq p=I dt\n\n## Pa/(m3/s2) = Pas2/m3 kg/m4 = Ns2/m5\n\n= `/A where ` and A are length and crosssectional area of the pipe, and is density of the fluid.\n\nv=L\n\ndi dt\n\n## E = Iq2 P(s) = Q(s)Is\n\ndp dt (one end usually grounded) q=C\n\nEnergy Impedance\n\nFluid capacitor, such as a tank or pressure chamber. Sometimes called an accumulator. Energy Impedance\n\nJ 3 Pas/m = Ns/m5 (same as resistance) (m3/s)/(Pa/s) = m3/Pa = m5/N J Pas/m = Ns/m5 (same as resistance)\n3\n\nE = Li2 V(s)=I(s)Ls C = A/( g) For an open tank; pressure chambers discussed separately.\ni=C dv dt\n\nE = C p2\nP( s) = Q( s) 1 sC\n\nE = Cv2\nV (s) = I (s) 1 sC\n\nFluid Elements\n\nPage 1" ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.93160164,"math_prob":0.9811638,"size":14671,"snap":"2019-35-2019-39","text_gpt3_token_len":3395,"char_repetition_ratio":0.15149656,"word_repetition_ratio":0.022674866,"special_character_ratio":0.22684208,"punctuation_ratio":0.09628852,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9915178,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-08-20T12:27:56Z\",\"WARC-Record-ID\":\"<urn:uuid:fa4a81e9-582d-4770-95be-952de89b2d05>\",\"Content-Length\":\"258800\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:08aa1f6d-3cf8-4dd9-bc0b-c9cd6429cabf>\",\"WARC-Concurrent-To\":\"<urn:uuid:ae2f34c5-be41-4085-bb21-4109322bab25>\",\"WARC-IP-Address\":\"151.101.202.152\",\"WARC-Target-URI\":\"https://ru.scribd.com/document/114161967/Fluid-Sys-w-Chart\",\"WARC-Payload-Digest\":\"sha1:KD2AKYO6ZWCKNOIYAOLWRHSAT6VS7EIG\",\"WARC-Block-Digest\":\"sha1:4HUI46CNMYGJ6VRJDRZUERVGRTASSE7D\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-35/CC-MAIN-2019-35_segments_1566027315329.55_warc_CC-MAIN-20190820113425-20190820135425-00044.warc.gz\"}"}
https://cci.lbl.gov/docs/cctbx/script_1/	[ "## Create a random model and calculate its density\n\nThis example script shows how to generate a small centrosymmetric unit cell in P-1 with 15 atoms, and how to calculate phases and amplitudes to reconstruct the electron density.\n\n### Required imports\n\nThis script requires the following imports:\n\nfrom __future__ import absolute_import, division, print_function\nimport iotbx.pdb\nimport iotbx.mrcfile\nimport mmtbx.model\nimport mmtbx.real_space\nfrom scitbx.array_family import flex\nfrom cctbx.development import random_structure\nfrom cctbx import sgtbx\nfrom cctbx import maptbx\n\n\n### Create a random structure and save as PDB\n\nUse the random_structure() method from cctbx.development to generate a random structure that has:\n\n• spcae group P-1\n• unit cell dimensions a=10, b=20, c=30, alpha=70, beta=80, gamma=120\n• 15 carbon atoms\n# Create random structure\nxrs = random_structure.xray_structure(\nspace_group_info = sgtbx.space_group_info(\"P-1\"),\nelements = [\"C\"]*15,\nunit_cell = (10, 20, 30, 50, 60, 80))\n\n\nCreate a model object from this structure:\n\n# Create model object\nmodel = mmtbx.model.manager.from_sites_cart(\nsites_cart = xrs.sites_cart(),\ncrystal_symmetry = xrs.crystal_symmetry(),\nresname = 'DUM')\n\n\nfrom_sites_cart() is a convenience function to create a model object from a list of cartesian coordinates. The default is to use atom name CA, scatterer C, occ 1, b_iso 30, resname GLY, residue numbers starting with 1. Here, the residue name is set to 'DUM', which stands for dummy residue. Note that even if we specify different elements in random_structure(), we will get CA atoms, unless the from_sites_cart() method is supplied with a list of atom names and scatterer names.\n\nSave the model as PDB file:\n\n# Write it into PDB file\nwith open(\"model.pdb\",\"w\") as fo:\nfo.write(model.model_as_pdb())\n\n\nHere is an example for a model that was created using this procedure (your model will look different, as the procedue will place the atoms at random places):", null, "### Create a map from a PDB file\n\nCreate a model object from a file.\n\n # Read the model file\npdb_inp = iotbx.pdb.input(file_name = \"model.pdb\")\nmodel = mmtbx.model.manager(model_input = pdb_inp)\nxrs = model.get_xray_structure()\n\n\nCalculate structure factors from the model using a high resolution limit of 2 Angstrom. This will give a Fourier map:\n\n# Calculate structure factors at given resolution.\nf_calc = xrs.structure_factors(d_min = 2.0).f_calc()\n\n\nFor book-keeping: save the Fourier map as MTZ file:\n\n# Write them down as MTZ file\nmtz_dataset = f_calc.as_mtz_dataset(column_root_label=\"F-calc\")\nmtz_object = mtz_dataset.mtz_object()\nmtz_object.write(file_name = \"f_calc.mtz\")\n\n\nPerform a fast-Fourier-transform (FFT) to convert the structure factors into a real map:\n\n# Convert Fcalc into real map (just do FFT)\nfft_map = f_calc.fft_map(resolution_factor=1./4)\nfft_map.apply_sigma_scaling()\n\n\nWrite the map data into an MRC file:\n\n# Write real Fourier map into MRC file\niotbx.mrcfile.write_ccp4_map(\nfile_name = \"fourier_map.mrc\",\nunit_cell = f_calc.unit_cell(),\nspace_group = f_calc.crystal_symmetry().space_group(),\nmap_data = map_data.as_double(),\nlabels = flex.std_string([\"Some text\"]))\n\n\nThe figure below shows the density overlayed to the model. Note that there are density peaks that are (seemingly) without model. This is because the density was calculated for the unit cell, which is P-1 (centrosymmetric). The spheres only represent the atoms in the asymmetric unit.", null, "Another option is to calculate the exact map. This requires first the computation of the grid (crystal_gridding).\n\n# Calculate exact map and write it down\ncrystal_gridding = maptbx.crystal_gridding(\nunit_cell = xrs.unit_cell(),\nspace_group_info = xrs.space_group_info(),\nsymmetry_flags = maptbx.use_space_group_symmetry,\nstep = 0.3)\nm = mmtbx.real_space.sampled_model_density(\nxray_structure = xrs,\nn_real = crystal_gridding.n_real())\nmap_data = m.data()\n\n\nSave the exact map in the file exact_map.mrc\n\niotbx.mrcfile.write_ccp4_map(\nfile_name = \"exact_map.mrc\",\nunit_cell = f_calc.unit_cell(),\nspace_group = f_calc.crystal_symmetry().space_group(),\nmap_data = map_data.as_double(),\nlabels = flex.std_string([\"Some text\"]))" ]	[ null, "https://cci.lbl.gov/docs_static/cctbx/img/script_1_fig1.png", null, "https://cci.lbl.gov/docs_static/cctbx/img/script_1_fig2.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.6419714,"math_prob":0.972644,"size":3921,"snap":"2023-40-2023-50","text_gpt3_token_len":995,"char_repetition_ratio":0.11743681,"word_repetition_ratio":0.043137256,"special_character_ratio":0.24713084,"punctuation_ratio":0.18086697,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99529743,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,2,null,2,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-12-10T09:41:48Z\",\"WARC-Record-ID\":\"<urn:uuid:4fd49587-c4c5-4f55-b506-e338806b8c96>\",\"Content-Length\":\"20943\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:dcc666a5-65b1-4343-b6aa-9b77b5272439>\",\"WARC-Concurrent-To\":\"<urn:uuid:6b7cbae1-eaae-49e5-b32a-c76116258c04>\",\"WARC-IP-Address\":\"172.64.154.72\",\"WARC-Target-URI\":\"https://cci.lbl.gov/docs/cctbx/script_1/\",\"WARC-Payload-Digest\":\"sha1:EO7BZQD3NY3XLZXWUMZ2TBP2ALO3KCW4\",\"WARC-Block-Digest\":\"sha1:GKWW5F4T7354QBUPKFIGIR76AZ4SGW3J\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-50/CC-MAIN-2023-50_segments_1700679101779.95_warc_CC-MAIN-20231210092457-20231210122457-00391.warc.gz\"}"}
https://spaces.ac.cn/archives/1765	[ "\\begin{aligned} a_{11}x_{1}+a_{12}x_{2}+a_{13}x_{3}=b_{1}\\\\ a_{21}x_{1}+a_{22}x_{2}+a_{23}x_{3}=b_{2}\\\\ a_{31}x_{1}+a_{32}x_{2}+a_{33}x_{3}=b_{3} \\end{aligned}\n\n$$\\begin{pmatrix} a_{11} & a_{12} & a_{13} \\\\ a_{21} & a_{22} & a_{23} \\\\ a_{31} & a_{32} & a_{33} \\end{pmatrix}$$\n\n$$Ax=b$$\n\n$$(AB)x=A(Bx)$$\n\n$$A= \\begin{pmatrix} a & b\\\\ c & d \\end{pmatrix},\\quad B=\\begin{pmatrix} e & f\\\\ g & h \\end{pmatrix},\\quad AB=\\begin{pmatrix} p & q\\\\ r & s \\end{pmatrix}$$\n\n$$[px+qy,rx+sy]^{\\top}$$\n\n$$\\frac{1}{1-x}=1+x+x^{2}+x^{3}+...\\approx 1+x$$\n\n$$(I-A)^{-1}=I+A+A^{2}+A^{3}+...\\approx I+A$$\n\n$$\\sqrt{1+x}\\approx 1+\\frac{1}{2}x$$" ]	[ null ]	{"ft_lang_label":"__label__zh","ft_lang_prob":0.95586026,"math_prob":1.00001,"size":4444,"snap":"2020-45-2020-50","text_gpt3_token_len":4264,"char_repetition_ratio":0.06081081,"word_repetition_ratio":0.0,"special_character_ratio":0.2770027,"punctuation_ratio":0.105797105,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":1.0000086,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-10-28T02:55:22Z\",\"WARC-Record-ID\":\"<urn:uuid:0de20fb9-7690-4d72-b8c5-17419d9f174d>\",\"Content-Length\":\"78056\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:666e1606-d401-4159-b95a-924f4926957d>\",\"WARC-Concurrent-To\":\"<urn:uuid:82e5d45a-76b2-45d8-bc65-4afeda01604d>\",\"WARC-IP-Address\":\"39.108.122.106\",\"WARC-Target-URI\":\"https://spaces.ac.cn/archives/1765\",\"WARC-Payload-Digest\":\"sha1:5GVWXYNSCSQY4BD7JLIFWTPSS3QBCKNL\",\"WARC-Block-Digest\":\"sha1:LURY3JHVJ2TRJPEVK77DF4ZXZU4YOC32\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-45/CC-MAIN-2020-45_segments_1603107896048.53_warc_CC-MAIN-20201028014458-20201028044458-00202.warc.gz\"}"}
https://www.chemistrylearner.com/henderson-hasselbalch-equation.html	[ "# Chemistry Learner\n\nHome / Physical chemistry / Henderson-Hasselbalch Equation\n\n# Henderson-Hasselbalch Equation\n\n## What is the Henderson-Hasselbalch Equation\n\nThe Henderson-Hasselbalch equation is an equation used in chemistry and biochemistry to determine the pH value of a buffer solution during the dissociation of a weak acid. A weak acid does not dissociate completely. A property of the buffer solution is that the mixture can resist changes in pH when a small amount of acid is added [1-5].\n\n## How to Use Henderson Hasselbalch Equation\n\nThe Henderson-Hasselbalch equation is used to determine the amount of acid and conjugate base needed to make a buffer solution of a certain pH. Therefore, it is often used to perform the calculations necessary to prepare buffers for use in the laboratory or other applications.\n\nGeneral Formula of the Henderson-Hasselbalch Equation\n\nA simple buffer solution consists of a weak acid solution and a salt of the acid’s conjugate base. The equation is given by,\n\npH = pKa + log10[conjugate base/weak acid]\n\nwhere,\n\npH: pH value\n\nKa: acid dissociation constant\n\n[conjugate base]: Concentration of the conjugate base in moles per liter\n\n[weak acid]: Concentration of the acid in moles per liter\n\nAmerican chemist Lawrence Joseph Henderson first derived the equation in 1908 and, later, by Danish chemist Karl Albert Hasselbalch in 1917.\n\n## Derivation of Henderson-Hasselbalch Equation\n\nThe Henderson-Hasselbalch equation can be derived from the equilibrium constant expression for the dissociation of a weak acid. Consider the dissociation of the acid HA in water H2O [2-6].\n\nHA + H2O ⇄ A + H3O+\n\nThe acid dissociation constant is given by,\n\nKa = [A] [H3O+]/[HA]\n\nor, Ka[HA]/ [A] = [H3O+]\n\nor, [H3O+] = Ka[HA]/ [A]\n\nor, log10 [H3O+] = log10 (Ka[HA]/ [A]) = log10 Ka + log10 ([HA]/[A])\n\nor, – log10 [H3O+] = – log10 Ka – log10 ([HA]/[A])\n\nor, pH = pKa – log10 ([HA]/[A])\n\nor, pH = pKa + log10 ([A]/[HA])\n\nFrom the above equation, the following points can be noted.\n\n1. The value of [A]/[HA] is dependent on the values of the pH and pKa. When pH < pKa, [A]/[HA] < 1. When pH > pKa, [A]/[HA] > 1.\n\n2. When the pH changes relatively to pKa by one unit, then pH – pKa = 1. Therefore,\n\n1 = log10 [[A]/[HA]]\n\nor, [[A]/[HA]] = 101 = 10\n\nThus, the ratio of the dissociated form to the associated form changes by a factor of 10.\n\n3. When the acid is 50% dissociated, the acid and the conjugate base concentrations are the same. Thus,\n\n[HA] = [A]\n\nor, [HA]/[A] = 1\n\nTherefore,\n\npH = pKa\n\nThe pH value of the solution is equal to the pKa value of the acid.\n\n### Henderson-Hasselbalch Equation for Base\n\nSimilarly, a weak base dissociates as follows,\n\nB + H2O ⇄ OH + HB+\n\nThe Henderson-Hasselbalch equation can be derived using the same principles as that for acid and gives,\n\npOH = pKb + log10 ([HB+]/[B])\n\n## Limitations of Henderson-Hasselbalch Equation\n\n• It fails to predict the pH values of strong acids because it assumes that the acid and its conjugate base concentrations remain constant at equilibrium.\n• It can be applied to a polybasic acid only if its consecutive pK values differ by at least 3.\n• It does not consider the self-dissociation by water. It fails to give an accurate pH value for extremely buffer solutions.\n\n## Examples and Problems\n\nP.1. The dissociation of acetic acid (CH3CO2H) in acetate ion (CH3CO2) is given as follows:\n\nCH3CO2H + H2O ⇄ CH3CO2 + H3O+\n\nCalculate the pH of a buffer solution made from 0.25 M of CH3CO2H and 0.45 M of CH3CO2 that has an acid dissociation constant for CH3CO2H of 1.76 x 10-5 at 25 ͦC.\n\nSoln. Given,\n\n[CH3CO2H] = 0.25 M\n\n[CH3CO2] = 0.45 M\n\nKa = 1.76 x 10-5\n\nThe Henderson-Hasselbalch equation is given by,\n\npH = pKa + log10 ([A]/[HA])\n\nTherefore,\n\npH = -log10 (1.76 x 10-5) + log10 (0.45 M /0.25 M) = 5\n\nP.2. How much sodium formate (HCOONa), 68.0069 g/mol) do you need to add to 500 mL of 0.50 M formic acid (HCOONa) for a pH 3 buffer. Ka = 1.77 x 10¯4.\n\nSoln. Given,\n\n[HCOONa] = 0.5 ML-1\n\npH = 3\n\nKa = 1.77 x 10¯4\n\nThe Henderson-Hasselbalch equation is given by,\n\npH = pKa + log10 ([A]/[HA])\n\nTherefore,\n\n3 = – log10 (-1.77 x 10¯4) + log10 ([A]/0.5)\n\nor, 3 = 3.752 + log10 ([A]/0.5)\n\nor, log10 ([A]/0.5) = -0.752\n\nor, [A]/0.5 = 0.177\n\nor, [A] = 0.177 x 0.5 = 0.0885 ML-1\n\nThe relationship between the concentration and the molecular weight is,\n\nConcentration x volume = weight/molecular weight\n\n0.0885 ML-1 x 0.5 L = w/ 68.0069 gM-1\n\nOr, w = 0.0885 ML-1 x 0.5 L x 68.0069 gM-1 = 3 g\n\nReferences" ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8165221,"math_prob":0.99685854,"size":4494,"snap":"2021-43-2021-49","text_gpt3_token_len":1473,"char_repetition_ratio":0.15634744,"word_repetition_ratio":0.056050956,"special_character_ratio":0.32554516,"punctuation_ratio":0.12795699,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9992098,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-12-05T02:24:19Z\",\"WARC-Record-ID\":\"<urn:uuid:c41538e2-4cf4-4623-8d98-a7230fd9a701>\",\"Content-Length\":\"46106\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:2a834a00-1197-422e-9458-44ee70826956>\",\"WARC-Concurrent-To\":\"<urn:uuid:870e4f1d-7b83-46d4-bcf9-8fc234697819>\",\"WARC-IP-Address\":\"199.250.207.207\",\"WARC-Target-URI\":\"https://www.chemistrylearner.com/henderson-hasselbalch-equation.html\",\"WARC-Payload-Digest\":\"sha1:AMZ3YTKX5LOCL3DL2RBI25NZWXFCB6YT\",\"WARC-Block-Digest\":\"sha1:JVSC2R46M6MBNKNOCTQ6MK5VFT5ZGNQN\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-49/CC-MAIN-2021-49_segments_1637964363134.25_warc_CC-MAIN-20211205005314-20211205035314-00239.warc.gz\"}"}
https://mathematica.stackexchange.com/questions/193858/finding-ndsolve-method-details	[ "# Finding NDSolve method details\n\nI have eqs about the NDSolve, I know this code given the solving automatically.\n\nHow can I find out what method is used behind the scenes? How can I gauge the reliability level, find how many iterations have been used, the order of method. How can I estimate the error?\n\nI found hints on this site, but I still do not fully understand.\n\nIt is impossible to say NDSolve has automatically solution for publishing paper?\n\nI used this code related to my system:\n\nr = 0.431201; β = 2.99 10^-6; σ = 0.7; δ = 0.57;\n{m = 0.3, η = 0.1, μ = 0.1, ρ = 0.3};\n\nS = {N1'[t] == r N1[t] (1 - β N1[t]) - η N1[t] I1[t],\nI1'[t] == σ + (ρ N1[t] I1[t])/( m + N1[t]) - δ I1[t] - μ N1[t] I1[t]};\n\nc = {N1 == 1, I1 == 1.22};\n\nSelect[Flatten[\nTrace[\nNDSolve[{S, c}, {N1, I1}, {t, 0, 30}],\nTraceInternal -> True]],\n!FreeQ[#, Method \| NDSolveMethodData] &]\n\n\nbut I don't understand the output.\n\n• Partial duplicate: mathematica.stackexchange.com/questions/145/… – Michael E2 Mar 24 at 1:17\n• Another partial duplicate: mathematica.stackexchange.com/questions/102704/… – Michael E2 Mar 24 at 1:37\n• You say you don't understand some technique or other, nor the output of your Trace[] command. But the first is a very general statement about things already explained and the second is about a command that no one else can reproduce – Michael E2 Mar 24 at 1:44\n• \"It is impossible to say NDSolve has automatically solution for publishing paper. \" Simply saying \"I've used NDSolve function of software Mathematica\" is enough in many cases, AFAIK. – xzczd Mar 24 at 3:39\n• Well, if the reviewer insists on such stuff, given that your system isn't that difficult, a possible workaround at this point is to choose a primary method like classical RK4 to solve the problem. The way to choose classical RK4 in NDSolve can be found in tutorial/NDSolveExplicitRungeKutta#1456351317, then you just need to set Method -> {\"ExplicitRungeKutta\", \"DifferenceOrder\" -> 4, \"Coefficients\" -> ClassicalRungeKuttaCoefficients}, StartingStepSize -> 1/20000, MaxSteps -> Infinity in NDSolve. The solving process is slower but gives the same result as given by default. – xzczd Mar 24 at 3:59\n\nComment\n\nIn response to your question, you already got very valuable comments. I will just try to comment on\n\nHow can I estimate the error?\n\nFor this I am going to plot residual error at steps and time, which will show the reliability and accuracy of NDSolve,\n\nr = 0.431201; \\[Beta] = 2.9910^-6; \\[Sigma] = 0.7; \\[Delta] = 0.57;\nm = 0.3; \\[Eta] = 0.1; \\[Mu] = 0.1; \\[Rho] = 0.3;\n\node = {N1'[t] == r N1[t] (1 - \\[Beta] N1[t]) - \\[Eta] N1[t] I1[t],\nI1'[t] == \\[Sigma] + (\\[Rho] N1[t] I1[t])/(m + N1[t]) - \\[Delta] I1[t] - \\[Mu] N1[t] I1[t]};\n\nbcs = {N1 == 1, I1 == 1.22};\n\nresiduals = ode /. Equal -> Subtract;\n\n{s} = NDSolve[{ode, bcs}, {N1, I1}, {t, 20}, InterpolationOrder -> All];\n\nN1[\"Coordinates\"] /. s;\n\nresiduals /. t -> N1[\"Coordinates\"] /. s;\n\nListPlot[Abs[Flatten /@ (residuals /. t -> N1[\"Coordinates\"] /. s)], Frame -> True]", null, "With[{data = {Table[{t, Abs@residuals[]} /. s, {t, N1[\"Coordinates\"] /. s // Flatten}]}},\nListLogPlot[data, Frame -> True, PlotRange -> All]]\n`", null, "Note: I adopted the above from this website but unable to find the link.\n\n• Thank you so much @zhk but how can defend the axes for both figures? the first as x represented steps and y residual error. the second one x represents the t time and y residual error. sorry if my question is trivial but it is first time to see the code – sana alharbi Mar 24 at 9:13" ]	[ null, "https://i.stack.imgur.com/H2B6I.png", null, "https://i.stack.imgur.com/HtSDi.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8028986,"math_prob":0.9476383,"size":1545,"snap":"2019-51-2020-05","text_gpt3_token_len":517,"char_repetition_ratio":0.09669046,"word_repetition_ratio":0.014981274,"special_character_ratio":0.34951457,"punctuation_ratio":0.17177914,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99215233,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,1,null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-12-14T21:47:45Z\",\"WARC-Record-ID\":\"<urn:uuid:7853aedd-ef9b-4f0c-820f-f651f700e52a>\",\"Content-Length\":\"140432\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:925c0522-65d9-445f-ab84-ba4e8998cd54>\",\"WARC-Concurrent-To\":\"<urn:uuid:982cd012-27b7-4a1e-bfd0-cbfd5cb88481>\",\"WARC-IP-Address\":\"151.101.129.69\",\"WARC-Target-URI\":\"https://mathematica.stackexchange.com/questions/193858/finding-ndsolve-method-details\",\"WARC-Payload-Digest\":\"sha1:YS7IE4E73HI2AVHTR66VLPU4FIPK3KE4\",\"WARC-Block-Digest\":\"sha1:KQVUD565UOMH7IQ42AZLTUU3ROAL2JVA\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-51/CC-MAIN-2019-51_segments_1575541294513.54_warc_CC-MAIN-20191214202754-20191214230754-00528.warc.gz\"}"}
https://discuss.codechef.com/t/weirdwoods-age-wage-editorial/24006	[ "", null, "# A Weirwood’s Age - EDITORIAL\n\nTester: Sana Pagarkar\n\nEasy\n\nMaths\n\n## PROBLEM:\n\nYou’re given 3 integers a, b, X.\n\n• a = radius of the first ring,\n• b = radius of the last ring,\n• X = distance between 2 rings.\n\nYou have to find the age of the tree by counting the number of rings.\n\n## EXPLANATION:\n\n• We can solve this problem very easily. First, take the 3 integers as input and check their constraints.\n• Then, we find the difference between the first and last rings’ radii, (b-a). We are given the distance between each ring, X.\n• We divide the difference calculated between the two radii by the distance to find the number of rings.\n• If the result is a floating point number, round it off with the floor value, because we need the answer in years.\n\n## AUTHOR’S AND TESTER’S SOLUTIONS:\n\nAuthor Solution can be found here\nTester Solution can be found here\n\n4 Likes" ]	[ null, "https://s3.amazonaws.com/discourseproduction/original/3X/7/f/7ffd6e5e45912aba9f6a1a33447d6baae049de81.svg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.87871,"math_prob":0.9843316,"size":928,"snap":"2020-34-2020-40","text_gpt3_token_len":244,"char_repetition_ratio":0.115800865,"word_repetition_ratio":0.012269938,"special_character_ratio":0.23275863,"punctuation_ratio":0.14814815,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9981195,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-09-22T05:08:13Z\",\"WARC-Record-ID\":\"<urn:uuid:b6a7c7f3-3df8-4357-8bc0-e446f69a42d8>\",\"Content-Length\":\"13103\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:16b1c6c0-1655-404c-8360-ed817e4d9ea6>\",\"WARC-Concurrent-To\":\"<urn:uuid:849075b4-c52f-4a3e-b394-0e2e22bbe46b>\",\"WARC-IP-Address\":\"18.213.158.143\",\"WARC-Target-URI\":\"https://discuss.codechef.com/t/weirdwoods-age-wage-editorial/24006\",\"WARC-Payload-Digest\":\"sha1:K2PXFWWL7W7E6EJSOXQWYS25OBSOEDPQ\",\"WARC-Block-Digest\":\"sha1:UVS6OVFUC54CMC6VFT5BIBX3JXDAMUPZ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-40/CC-MAIN-2020-40_segments_1600400203096.42_warc_CC-MAIN-20200922031902-20200922061902-00771.warc.gz\"}"}
https://stackoverflow.com/questions/14568970/perl-regular-expression-finding-pattern-only-in-the-front-of-the-text	[ "perl regular expression finding pattern only in the front of the text\n\nSuppose there is a text like this:\n\n\|-SAMPLE-D2\n\|---SAMPLE-D1\n\|---SAMPLE3\n\nI want to count the number of \"-\" after \|. I tried to parse that by using the following regular expression in perl\n\n\\$count=()= /-/g;\n\nbut this is problematic because the first two has \"-\" somewhere else in the text as well as in the front. How should I form my regex or use other function in perl to get the number of \"-\" right after \"\|\"?\n\n• /^\|(-)/, then get the length of \\$1? – Marc B Jan 28 '13 at 18:49\n• @MarcB I assume you meant /^\\\|(-)/ or /^[\|](-)/ – Brad Gilbert Jan 29 '13 at 16:18\n\nRegex to match the dashes after the starting \|:\n/^\\\|([\\-])/\n\n• You don't need to escape the - or the character class. – Chris Seymour Jan 28 '13 at 18:54\n• No, it's not incorrect just unnecessary and regexp can be complicated enough. – Chris Seymour Jan 28 '13 at 18:58\n• You do have to escape \| though. – TLP Jan 28 '13 at 19:30\n• @TLP: updated, thanx – CSᵠ Jan 28 '13 at 19:39\n\nTo count dashes that are not preceded by a letter, use a negative look-behind assertion.\n\n\\$count = () = /(?<!\\w)-/g\n\nIf the vertical line only ever comes at the start you can get the string of repeating minuses with:\n\nmy (\\$match) = \\$txt =~ /^\\\|(-*)/;\n\nThe brackets around \\$match cause the captured portion of the regex to be put into it\n\nthen get the number of minuses using\n\nmy \\$minus_count = length(\\$match \|\| '');\n\nThe\n\n\|\| '')\n\nbit\n\nInitialises \\$match if the regex above found no matches at all, to stop length moaning about uninitialised variables (if you have warnings on)\n\nNot sure if you can count in Regex directly but you can extract capture groups and do a simple arithmetic with their string lengths:\n\n#!/usr/bin/perl\nuse warnings;\nmy \\$inFile = \\$ARGV;\nopen(FILEHANDLE, \"<\", \\$inFile) \|\| die(\"Could not open file \".\\$inFile);\nmy @fileLines = <FILEHANDLE>;\nmy \\$lineNo = 0;\nmy \\$rslt;\n\nforeach my \\$line(@fileLines) {\nchomp(\\$line);\n\\$line =~ s/^\\s+//;\n\\$line =~ s/\\s+\\$//;\n\\$lineNo++;\nprint \"\\n\".\\$lineNo.\" = <\".\\$line.\">\";\nif(\\$line =~ m/^\\\|-+(.+)/) {\nmy \\$text = \\$1;\nprint \"\\n\\ttext = <\".\\$text.\">\";\nmy \\$minCnt = length(\\$line) - length(\\$text) - 1;\nprint \"\\n\\tminus count = <\".\\$minCnt.\">\";\n}\n}\nclose(FILEHANDLE);\n• Why do you use chomp() and s/\\s+\\$//? Also I would like to point out that s/^\\s+\|\\s+\\$//g is faster than having two separate substitutions. – Brad Gilbert Jan 29 '13 at 16:24\n• good point but i've had experience in the past where chomp() didn't do and the s&r did. thanks for noting – amphibient Jan 29 '13 at 17:05" ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.89617366,"math_prob":0.8741311,"size":533,"snap":"2019-43-2019-47","text_gpt3_token_len":156,"char_repetition_ratio":0.105860114,"word_repetition_ratio":0.0,"special_character_ratio":0.36585367,"punctuation_ratio":0.08490566,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.96701896,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-10-22T20:50:42Z\",\"WARC-Record-ID\":\"<urn:uuid:90f2e94a-9282-463b-9eef-f18621a7887a>\",\"Content-Length\":\"165161\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:88a2144a-40be-4198-a08c-66d514facf6c>\",\"WARC-Concurrent-To\":\"<urn:uuid:2913d34d-2bc1-45ee-8dba-67d0c3d2cbd9>\",\"WARC-IP-Address\":\"151.101.129.69\",\"WARC-Target-URI\":\"https://stackoverflow.com/questions/14568970/perl-regular-expression-finding-pattern-only-in-the-front-of-the-text\",\"WARC-Payload-Digest\":\"sha1:BVPA3HE2YET3CHRR5ORIA5CPRPLBM2GM\",\"WARC-Block-Digest\":\"sha1:KZ5FMKX7E673JX4235A4NUDADV65IZF6\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-43/CC-MAIN-2019-43_segments_1570987823061.83_warc_CC-MAIN-20191022182744-20191022210244-00372.warc.gz\"}"}
http://www.computerchess.org.uk/ccrl/4040/cgi/engine_details.cgi?print=Details&each_game=1&eng=Minic%202.46%2064-bit	[ "Contents: CCRL 40/15 Downloads and Statistics September 19, 2020 Testing summary: Total: 1'178'235 games played by 2'711 programs White wins: 406'134 (34.5%) Black wins: 300'016 (25.5%) Draws: 472'085 (40.1%) White score: 54.5%\n\n## Engine Details\n\n Options Show each game results\nMinic 2.46 64-bit#50 (3050+26\n−25\n)Quote\n Author: Vivien Clauzon (France) Link: Homepage\nThis is one of the 13 Minic versions we tested: Compare them!\n Opponent Elo Diff Results Score LOS Perf – Arasan 22.1 64-bit 3147 +25−25 (+97) 6.5 − 13.5(+1−8=11) 32.5%6.5 / 20 0.0% −5 = 0 = = = = 0 0 = 0 = = 1 0 = = = 0 0 0 – Xiphos 0.4 64-bit 3145 +11−11 (+95) 8.5 − 11.5(+3−6=11) 42.5%8.5 / 20 0.0% +54 1 0 = = 0 0 0 = 0 = 0 = = 1 = = 1 = = = – Roc 1.7 64-bit 3140 +42−42 (+90) 12 − 8(+6−2=12) 60.0%12.0 / 20 0.0% +145 = = 1 = 0 1 1 = = = = = = 1 = 1 = = 1 0 – Laser 1.6 64-bit 3131 +11−11 (+81) 7 − 13(+1−7=12) 35.0%7.0 / 20 0.0% −5 = 0 = 0 0 = = 0 = 0 0 = = = = 0 = = = 1 – Nemorino 5.00 64-bit 3086 +12−13 (+36) 2.5 − 1.5(+2−1=1) 62.5%2.5 / 4 0.6% +131 1 1 0 = – Winter 0.8 64-bit 3082 +21−21 (+32) 2 − 2(+1−1=2) 50.0%2.0 / 4 2.9% +32 = 0 1 = – chess22k 1.14 64-bit 3075 +18−18 (+25) 6.5 − 13.5(+1−8=11) 32.5%6.5 / 20 5.6% −76 = = = = 0 0 0 1 = 0 = = 0 = 0 = = 0 = 0 – Lc0 0.23.2 wLD2 64-bit 3065 +36−36 (+15) 8 − 12(+3−7=10) 40.0%8.0 / 20 24.1% −44 = = 0 0 0 0 0 1 = = 1 = 0 0 = = = 1 = = – Combusken 1.3.0 64-bit 3052 +24−24 (+2) 10.5 − 13.5(+4−7=13) 43.8%10.5 / 24 46.1% −36 = 1 1 = 0 = 0 = 0 = = = = = 1 1 = 0 0 = 0 = = 0 – Pirarucu 3.3.5 64-bit 3027 +19−19 (−23) 2 − 2(+1−1=2) 50.0%2.0 / 4 92.4% −33 1 = 0 = – Fat Fritz Junior w510 64-bit 3023 +35−35 (−27) 7 − 13(+2−8=10) 35.0%7.0 / 20 90.0% −116 = 1 = 0 0 = = = 0 0 = = 0 = = 0 0 = 0 1 – Rybka 4 32-bit 3018 +15−15 (−32) 10 − 10(+5−5=10) 50.0%10.0 / 20 98.3% −30 = 0 1 = 1 0 1 0 = 0 0 = 1 = = = 1 = = = – Marvin 3.6.0 64-bit 3013 +21−21 (−37) 16.5 − 7.5(+12−3=9) 68.8%16.5 / 24 98.8% +82 1 0 1 1 1 1 = 1 1 = 1 = = = 1 = 1 = 0 = 1 0 = 1 – Monolith 2 64-bit 3001 +19−19 (−49) 12 − 12(+5−5=14) 50.0%12.0 / 24 99.9% −49 1 = = = = 0 0 = = = = 1 0 1 1 = = = = = = 0 1 0 – Bagatur 2.2 64-bit 2994 +21−22 (−56) 12.5 − 11.5(+5−4=15) 52.1%12.5 / 24 100.0% −45 0 = = 1 1 0 0 = = = 0 = = = 1 = = = = 1 = 1 = = – Amoeba 3.2 64-bit 2993 +25−25 (−57) 3.5 − 0.5(+3−0=1) 87.5%3.5 / 4 99.9% +231 1 = 1 1 – Rodent IV 022 64-bit 2989 +22−22 (−61) 13 − 11(+9−7=8) 54.2%13.0 / 24 100.0% −31 = 0 1 1 1 0 1 = = = 1 0 1 1 = 0 0 = 0 1 1 0 = = – Stockfish 1.8 32-bit 2989 +17−17 (−61) 10.5 − 9.5(+7−6=7) 52.5%10.5 / 20 100.0% −43 1 = 0 0 = 0 0 1 1 = = 1 = 1 1 1 0 = = 0 – Topple 0.7.5 64-bit 2984 +18−18 (−66) 11.5 − 8.5(+7−4=9) 57.5%11.5 / 20 100.0% −18 = = 1 1 0 = 0 = = = = 1 1 1 1 1 0 = = 0 – Godel 7.0 64-bit 2979 +19−19 (−71) 12.5 − 11.5(+8−7=9) 52.1%12.5 / 24 100.0% −56 1 0 = = = = 0 0 1 = 1 = 0 0 1 1 = 1 = 0 1 = 1 0 – Amoeba 3.1 64-bit 2968 +20−20 (−82) 15 − 5(+10−0=10) 75.0%15.0 / 20 100.0% +67 = 1 = 1 1 = 1 = 1 1 = = 1 = = = 1 1 = 1 – FabChess 1.15 64-bit 2942 +22−22 (−108) 19 − 5(+17−3=4) 79.2%19.0 / 24 100.0% +124 1 1 0 1 1 1 1 = 1 1 1 1 1 = = 1 1 = 1 1 1 0 0 1 – Naum 4 32-bit 2930 +14−14 (−120) 13 − 7(+9−3=8) 65.0%13.0 / 20 100.0% −22 1 1 1 = 1 = = = = = 1 1 = = 0 1 1 1 0 0 – Francesca MAD 0.29 64-bit 2914 +25−25 (−136) 21 − 5(+17−1=8) 80.8%21.0 / 26 100.0% +86 = 1 1 0 = 1 1 1 = 1 1 1 = 1 1 1 1 = = 1 1 1 1 1 = = – Counter 3.5 64-bit 2905 +21−21 (−145) 14.5 − 5.5(+11−2=7) 72.5%14.5 / 20 100.0% +4 1 1 1 0 = 1 1 1 1 = 1 = = = = = 1 1 1 0\n\n### Rating changes by day", null, "### Rating changes with played games", null, "Created in 2005-2013 by CCRL team Last games added on September 19, 2020" ]	[ null, "http://www.computerchess.org.uk/ccrl/4040/rating-history-by-day-graphs/Minic_2_46_64-bit.png", null, "http://www.computerchess.org.uk/ccrl/4040/rating-history-by-day-graphs-2/Minic_2_46_64-bit.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.5631488,"math_prob":1.0000095,"size":3316,"snap":"2020-34-2020-40","text_gpt3_token_len":2206,"char_repetition_ratio":0.29619566,"word_repetition_ratio":0.34375,"special_character_ratio":0.9146562,"punctuation_ratio":0.12836438,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9986695,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,1,null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-09-22T02:11:53Z\",\"WARC-Record-ID\":\"<urn:uuid:ecedb569-491a-4be5-af0b-5dda1e49b94d>\",\"Content-Length\":\"26894\",\"Content-Type\":\"application/http; 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https://www.bartleby.com/solution-answer/chapter-78-problem-52e-calculus-an-applied-approach-mindtap-course-list-10th-edition/9781305860919/evaluating-a-double-integral-in-exercises-51-58-use-a-symbolic-integration-utility-to-evaluate-the/ffc68b0d-6361-11e9-8385-02ee952b546e	[ "", null, "", null, "", null, "Chapter 7.8, Problem 52E", null, "### Calculus: An Applied Approach (Min...\n\n10th Edition\nRon Larson\nISBN: 9781305860919\n\n#### Solutions\n\nChapter\nSection", null, "### Calculus: An Applied Approach (Min...\n\n10th Edition\nRon Larson\nISBN: 9781305860919\nTextbook Problem\n1 views\n\n# Evaluating a Double Integral In Exercises 51-58, use a symbolic integration utility to evaluate the double integral. ∫ 0 2 ∫ x 2 2 x ( x 3 + 3 y 2 ) d y d x\n\nTo determine\n\nTo calculate: The simplified value of the double integral 02x22x(x3+3y2)dydx by application of symbolic integration utility.\n\nExplanation\n\nGiven Information:\n\nThe provided double integral is 02x22x(x3+3y2)dydx.\n\nCalculation:\n\nConsider the double integral 02x22x(x3+3y2)dydx\n\n### Still sussing out bartleby?\n\nCheck out a sample textbook solution.\n\nSee a sample solution\n\n#### The Solution to Your Study Problems\n\nBartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!\n\nGet Started\n\n#### x3a+b3\n\nApplied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach\n\n#### What is the integrating factor for xy′ + 6x2y = 10 − x3?\n\nStudy Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th\n\n#### True or False: converges.\n\nStudy Guide for Stewart's Multivariable Calculus, 8th", null, "" ]	[ null, "https://www.bartleby.com/static/search-icon-white.svg", null, "https://www.bartleby.com/static/close-grey.svg", null, "https://www.bartleby.com/static/solution-list.svg", null, "https://www.bartleby.com/isbn_cover_images/9781305860919/9781305860919_largeCoverImage.gif", null, "https://www.bartleby.com/isbn_cover_images/9781305860919/9781305860919_largeCoverImage.gif", null, "https://www.bartleby.com/static/logo.svg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.622807,"math_prob":0.8910673,"size":2116,"snap":"2019-51-2020-05","text_gpt3_token_len":443,"char_repetition_ratio":0.18323864,"word_repetition_ratio":0.10769231,"special_character_ratio":0.15548204,"punctuation_ratio":0.085910656,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.97079575,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12],"im_url_duplicate_count":[null,null,null,null,null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-12-10T09:16:14Z\",\"WARC-Record-ID\":\"<urn:uuid:dad1d7a4-76f8-4bb9-bd4a-a1618fc73adb>\",\"Content-Length\":\"966341\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:8fb8df16-038b-418d-b6ef-a2709d3effa3>\",\"WARC-Concurrent-To\":\"<urn:uuid:4ed81ffe-fa9c-474d-93da-fbf0294e3a50>\",\"WARC-IP-Address\":\"13.249.44.109\",\"WARC-Target-URI\":\"https://www.bartleby.com/solution-answer/chapter-78-problem-52e-calculus-an-applied-approach-mindtap-course-list-10th-edition/9781305860919/evaluating-a-double-integral-in-exercises-51-58-use-a-symbolic-integration-utility-to-evaluate-the/ffc68b0d-6361-11e9-8385-02ee952b546e\",\"WARC-Payload-Digest\":\"sha1:VFOHS6AQJ7F7HX3KLPA3K2IGN7YGT5CX\",\"WARC-Block-Digest\":\"sha1:5TZJ4QXG6TMIL7D7UTBOHAGGLZ7E4NS2\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-51/CC-MAIN-2019-51_segments_1575540527010.70_warc_CC-MAIN-20191210070602-20191210094602-00066.warc.gz\"}"}
https://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/Tao/TAOBRGN.html	[ "petsc-3.11.3 2019-06-26\nReport Typos and Errors\n\n# TAOBRGN\n\nBounded Regularized Gauss-Newton method for solving nonlinear least-squares problems with bound constraints. This algorithm is a thin wrapper around TAOBNTL that constructs the Gauss-Newton problem with the user-provided least-squares residual and Jacobian. The algorithm offers both an L2-norm proximal point (\"l2prox\") regularizer, and a L1-norm dictionary regularizer (\"l1dict\"), where we approximate the L1-norm \|\|x\|\|_1 by sum_i(sqrt(x_i^2+epsilon^2)-epsilon) with a small positive number epsilon. The user can also provide own regularization function.\n\n### Options Database Keys\n\n+ -tao_brgn_regularization_type - regularization type (\"user\", \"l2prox\", \"l1dict\") (default \"l2prox\") . -tao_brgn_regularizer_weight - regularizer weight (default 1e-4) - -tao_brgn_l1_smooth_epsilon - L1-norm smooth approximation parameter: \|\|x\|\|_1 = sum(sqrt(x.^2+epsilon^2)-epsilon) (default 1e-6)\n\nbeginner\n\n### Location\n\nsrc/tao/leastsquares/impls/brgn/brgn.c\n\n### Examples\n\nsrc/tao/leastsquares/examples/tutorials/cs1.c.html\nsrc/tao/leastsquares/examples/tutorials/tomography.c.html\n\nIndex of all Tao routines" ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.67036223,"math_prob":0.9138332,"size":1182,"snap":"2019-26-2019-30","text_gpt3_token_len":334,"char_repetition_ratio":0.11629881,"word_repetition_ratio":0.0,"special_character_ratio":0.2360406,"punctuation_ratio":0.094736844,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9786156,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-07-17T11:44:17Z\",\"WARC-Record-ID\":\"<urn:uuid:62514c24-0bf2-4a47-9b65-0103ea70c617>\",\"Content-Length\":\"2764\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:79b238e5-22cb-4250-acda-dafd993b9b1b>\",\"WARC-Concurrent-To\":\"<urn:uuid:8f56a3bc-2ee9-42fc-a40e-c8b74671a358>\",\"WARC-IP-Address\":\"140.221.6.95\",\"WARC-Target-URI\":\"https://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/Tao/TAOBRGN.html\",\"WARC-Payload-Digest\":\"sha1:YX766R7NQWEYVZPK452DDJT4WRX5IGYR\",\"WARC-Block-Digest\":\"sha1:VHB3C67OUFFDZEEDOMUYEDIQT7C5SKFF\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-30/CC-MAIN-2019-30_segments_1563195525136.58_warc_CC-MAIN-20190717101524-20190717123524-00342.warc.gz\"}"}
https://freevideolectures.com/course/3390/advanced-numerical-analysis/2	[ "# Advanced Numerical Analysis\n\nIIT Bombay Course , Prof. Sachin C. Patwardhan\n\n•", null, "•", null, "•", null, "109 students enrolled\n\n# Overview\n\nIntroduction and Overview - Fundamentals of Vector Spaces - Basic Dimension and Sub-space of a Vector Space - Introduction to Normed Vector Spaces - Examples of Norms,Cauchy Sequence and Convergence, Introduction to Banach Spaces - Introduction to Inner Product Spaces - Cauchy Schwaz Inequality and Orthogonal Sets - Gram-Schmidt Process and Generation of Orthogonal Sets - Problem Discretization Using Appropriation Theory - Weierstrass Theorem and Polynomial Approximation - Taylor Series Approximation and Newton's Method - Solving ODE - BVPs Using Firute Difference Method - Solving ODE - BVPs and PDEs Using Finite Difference Method - Finite Difference Method (contd.) and Polynomial Interpolations - Polynomial and Function Interpolations,Orthogonal Collocations Method for Solving - Orthogonal Collocations Method for Solving ODE - BVPs and PDEs - Least Square Approximations :Necessary and Sufficient ConditionsLinear Least Square Estimation and Geometric Interpretation - Geometric Interpretation of the Least Square Solution (Contd.) and Projection - Projection Theorem in a Hilbert Spaces (Contd.) and Approximation - Discretization of ODE-BVP using Least Square Approximation - Discretization of ODE-BVP using Least Square Approximation and Gelarkin Method - Model Parameter Estimation using Gauss-Newton Method - Solving Linear Algebraic Equations and Methods of Sparse Linear Systems\n\nMethods of Sparse Linear Systems (Contd.) and Iterative Methods for Solving - Iterative Methods for Solving Linear Algebraic Equations: Convergence - Iterative Methods for Solving Linear Algebraic Equations: Convergence Analysis - Optimization Based Methods for Solving Linear Algebraic Equations: Gradient Method - Conjugate Gradient Method, Matrix Conditioning and Solutions - Matrix Conditioning and Solutions and Linear Algebraic Equations and Solving Nonlinear Algebraic Equations - Solving Nonlinear Algebraic Equations: Wegstein Method and Variants of Newton's Method - Solving Nonlinear Algebraic Equations: Optimization Based Methods - Solving Nonlinear Algebraic Equations: Introduction to Convergence analysis - Solving Ordinary Differential Equations - Initial Value Problems (ODE-IVPs) - Solving Ordinary Differential Equations - Initial Value Problems - Solving ODE-IVPs : Runge Kutta Methods (contd.) and Multi-step Methods - Solving ODE-IVPs : Generalized Formulation of Multi-step Methods - Solving ODE-IVPs : Multi-step Methods (contd.) and Orthogonal Collocations Method - Solving ODE-IVPs: Selection of Integration Interval and Convergence Analysis - Solving ODE-IVPs: Convergence Analysis of Solution Schemes - Methods for Solving System of Differential Algebraic Equations\n\n### Lecture 2: Fundamentals of Vector Spaces", null, "Up Next\nYou can skip ad in\n• 2x\n• 1.5x\n• 1x\n• 0.5x\n• 0.25x\nCOPY\nPRIVATE CONTENT\nOK\nEnter password to view\n0:00\n0 (0 Ratings)\n\n# Lecture Details\n\nAdvanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit httpnptel.ac.in\n\n# 0\n\n0 Rates\n1\n0%\n0\n2\n0%\n0\n3\n0%\n0\n4\n0%\n0\n5\n0%\n0", null, "" ]	[ null, "https://freevideolectures.com/images/profile_images/110259644284292174841.jpg", null, "https://freevideolectures.com/images/profile_images/113890836099098103865.jpg", null, "https://freevideolectures.com/images/profile_images/100278858322528008065.jpg", null, "https://freevideolectures.com/course/3390/advanced-numerical-analysis/2", null, "https://freevideolectures.com/assets/captcha/CaptchaSecurityImages.php", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7180085,"math_prob":0.8098365,"size":2917,"snap":"2019-13-2019-22","text_gpt3_token_len":626,"char_repetition_ratio":0.18777892,"word_repetition_ratio":0.12628865,"special_character_ratio":0.17003772,"punctuation_ratio":0.08040201,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.992847,"pos_list":[0,1,2,3,4,5,6,7,8,9,10],"im_url_duplicate_count":[null,null,null,5,null,null,null,1,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-03-23T01:25:35Z\",\"WARC-Record-ID\":\"<urn:uuid:a4fbd7b9-1331-4aa6-9392-4e7ae0980cd6>\",\"Content-Length\":\"72163\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:b88e87a8-b9af-44c4-923f-26a4cbd74650>\",\"WARC-Concurrent-To\":\"<urn:uuid:1502cad0-bc52-4add-a300-f6fdc48349e7>\",\"WARC-IP-Address\":\"104.27.156.84\",\"WARC-Target-URI\":\"https://freevideolectures.com/course/3390/advanced-numerical-analysis/2\",\"WARC-Payload-Digest\":\"sha1:MIQZNLYTXJC3Y4YEFHJIABTIBWVJWLLJ\",\"WARC-Block-Digest\":\"sha1:O6OY76DQQXOMZQPWVFTVCTU5E7QH55QZ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-13/CC-MAIN-2019-13_segments_1552912202704.58_warc_CC-MAIN-20190323000443-20190323022443-00115.warc.gz\"}"}
http://book.caltech.edu/bookforum/showpost.php?s=322ca778c42f9aef53909a3778ab5530&p=10360&postcount=8	[ "View Single Post\n#8", null, "yaser", null, "Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,478", null, "Re: Is the Hoeffding Inequality really valid for each bin despite non-random sampling\n\nQuote:\n Originally Posted by grozhd", null, "I have the same concern as scottedwards2000 and I still don't understand how it is resolved. As I understand the bin symbolizes the probability space of all possible inputs", null, ". Sample of balls drawn randomly from the bin symbolizes our training set", null, ". Now we pick a hypothesis", null, "(suppose we are running PLA). We look at our sample", null, ", compute", null, "and use Hoeffding's Inequality. We do one step of PLA and come up with new hypothesis", null, "which automatically gives us", null, "and professor is saying that we can write down Hoeffding inequality for", null, "and", null, "? I guess, we can. But that inequality tells us something about random variable", null, ", i.e. about:", null, "where", null, "is a random sample. But it seems like we are using", null, "where", null, "is hardly random with regard to", null, "since we built", null, "using that sample. Here is an example that illustrates my point: say we tried some random", null, ", compared it with target function", null, "on our training sample", null, ", wrote down Hoeffding's inequality. Now let's construct", null, "as follows:", null, "and", null, ". Let's write down Hoeffding's ineqaulity for this hypothesis. If we are indeed using", null, "then here it would be equal to 1 since", null, "on", null, "and we would have:", null, "is small. So somehow we are saying with high probability that", null, "does an excellent job out of sample though we didn't change it much from", null, ". This example shouldn't be correct, right? If it isn't how is the one with PLA correct?\nIt is a subtle point, so let me try to explain it in the terms you outlined. Let us take the sample", null, "(what you call", null, ", just to follow the book notation). Now evaluate", null, "for all hypotheses", null, "in your model", null, ". We didn't start at one", null, "and moved to another. We just evaluated", null, "for all", null, ". The question is, does Hoeffding inequality apply to each of these", null, "'s by itself? The answer is clearly yes since each of them could be in principle the hypothesis you started with (which you called", null, ").\n\nHoeffding states what the probabilities are before the sample is drawn. When you choose one of these hypotheses because of its small", null, ", as in the scenario you point out, the probability that applies now is conditioned on the sample having small", null, ". We can try to get conditional version of Hoeffding to deal with the situation, or we can try to get a version of Hoeffding that applies regardless of which", null, "we choose and how we choose it. The latter is what we did using the union bound.\n\nFinally, taking the example you illustrated, any hypothesis you use has to be in", null, "(which is decided before the sample is drawn). The one you constructed is not guaranteed to be in", null, ". Of course you can guarantee that it is in", null, "by taking", null, "to be the set of all possible hypotheses, but in this case,", null, "is thoroughly infinite", null, "and the multiple-bin Hoeffding does not guarantee anything at all.\n__________________\nWhere everyone thinks alike, no one thinks very much" ]	[ null, "http://book.caltech.edu/bookforum/image.php", null, "http://book.caltech.edu/bookforum/images/statusicon/user_offline.gif", null, "http://book.caltech.edu/bookforum/images/icons/icon1.gif", null, "http://book.caltech.edu/bookforum/images/buttons/viewpost.gif", null, "http://book.caltech.edu/vblatex/img/02129bb861061d1a052c592e2dc6b383-1.gif", null, "http://book.caltech.edu/vblatex/img/42729c0523a80663f3c69418b4a8784d-1.gif", null, "http://book.caltech.edu/vblatex/img/de8465d723217241a3096b8763f598fe-1.gif", null, "http://book.caltech.edu/vblatex/img/b713c135d3ab65afe2a509dd2f6a39f4-1.gif", null, 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https://physics.stackexchange.com/questions/480596/how-to-prove-%CE%B1-%CF%83%CE%B2-%CF%83-%CE%B1-%CE%B2-i%CE%B1%C3%97%CE%B2-%CF%83-where-%CE%B1-and-%CE%B2-are-3-dimensional-ve	[ "How to prove $(α·σ)(β·σ) = α·β +iα×β·σ$ (where, $α$ and $β$ are 3 dimensional vectors and $σ$ represents Pauli matrices)?\n\nI tried to evaluate the LHS first and obtained the first term of RHS easily. Then i tried to use the commutation relations of $$\\mathrm{SU}(2)$$ group to proceed further to obtain the second term of the LHS from remaining quantities but got stuck there. Can somebody show how it's done?\n\n• WP. – Cosmas Zachos May 17 at 10:28\n• Unless you know a smarter way, try writing out all of the components. – my2cts May 17 at 11:40\n\nThe commutation relation $$[\\sigma_i,\\sigma_j] = 2i\\epsilon_{ijk}\\sigma_k$$ is strictly insufficient for what you want to achieve, and it needs to be supplemented with the anticommutation relations between the Pauli matrices, $$\\{\\sigma_i,\\sigma_j \\} = 2\\delta_{ij}.$$ As the Wikipedia page points out, adding those two will get you an expression for the individual products, $$\\sigma_i\\sigma_j = \\delta_{ij} + i\\epsilon_{ijk}\\sigma_k,$$ and you can then contract this with the two relevant vectors on either side to get the expression you're after." ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.87889165,"math_prob":0.9965338,"size":1431,"snap":"2019-43-2019-47","text_gpt3_token_len":369,"char_repetition_ratio":0.12894183,"word_repetition_ratio":0.0,"special_character_ratio":0.25925925,"punctuation_ratio":0.09056604,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9995912,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-10-21T15:58:09Z\",\"WARC-Record-ID\":\"<urn:uuid:199850ab-9b19-4376-b914-1ce715ee3dbe>\",\"Content-Length\":\"145229\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f75f3e9b-eadf-4cc2-b926-2ad86b706185>\",\"WARC-Concurrent-To\":\"<urn:uuid:38fe8ea6-514c-4034-aa40-6c15efb09034>\",\"WARC-IP-Address\":\"151.101.65.69\",\"WARC-Target-URI\":\"https://physics.stackexchange.com/questions/480596/how-to-prove-%CE%B1-%CF%83%CE%B2-%CF%83-%CE%B1-%CE%B2-i%CE%B1%C3%97%CE%B2-%CF%83-where-%CE%B1-and-%CE%B2-are-3-dimensional-ve\",\"WARC-Payload-Digest\":\"sha1:IZOZG3HSIVOKWJY5CCUDI4VU63RCMVBN\",\"WARC-Block-Digest\":\"sha1:ZD2VTWTGMG5U6OFTXEFBNTS2DYEJ4LPX\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-43/CC-MAIN-2019-43_segments_1570987779528.82_warc_CC-MAIN-20191021143945-20191021171445-00305.warc.gz\"}"}
https://old.cescg.org/CESCG97/boros/	[ "Image Processing for fine arts\n\nAbstract:\n\nThe contribution deals with image transformations applicable to the fine arts and to the correction of photographic images. The program includes image filters for image blurring, correction of the shade value, softening of the drawing - blurring, rotation and various special and deformation effects, e.g. map relief of the image, effect of an oil painting, solarization, fish eye effect or whirlpool and other interesting transformations. The library of these special image filters is focussed on the application to user's programs.\n\nBy means of this library, interesting and useful transformations of actual images can be produced which may extend the limits of the mere entertainment.\n\nContents\n\n2. Mathematical principle of raster image transformation\n\nGeneral description of raster transformation\n\nMathematical notation of raster filters\n\n3. Description of implementation\n\nImplementation of image filters\n\n4. Summary\n\nReferences\n\nA. Appendix - images\n\n1. Introduction\n\nOne can hardly find any answer to the question \"What is computer based fine arts?\". Creative arts that use the computer as its media is used in various other branches of art, such as music. In any case, computer is used as a tool for creation - instead of brush one uses mouse. Herbert W. Franke, one of the inventors of computer art, touched this subject in this question: \"Is the image created using computer really an art?\" We could also ask whether tones played using violin are also music. In both cases we just used tools to produce the art.\n\nIn some tasks, computer is more suitable than traditional artistic tools. An example of such task is filtering and geometrical transformation of an image. It could be expected, that some time the expression \"Computer Art\" will be dead, but the technology is not the key point to the art - the human is - when equipped with some technical means.\n\nClearly, oil painting is always done on the paper or cloth using brush and colors. The purpose is not that the filter when applied to a photograph creates painting, but that the filtered image has nice and interesting appearance.\n\nThe above situation resembles the situation with traditional and digital photography. The fact that digital photographs could be easily grabbed, archived, marked, transferred through telephone lines, etc. does not have to say anything to a creative user. The situation starts to be more interesting from the moment when it is possible to change the technical quality or layout of the image. Very few computer \"amateurs\" who have once \"simply created\" the effect of plastic relief know how difficult it would be to do similar effects using traditional photography. It would be necessary to produce both positive and negative versions of the image, then offset them a little, and finally expose on the positive photographic paper. After the paper is developed, the image (hopefully) shows the plastical effect. The fancy \"solarisation\", that is traditionally produced with difficult to control overexposure, can be easily simulated on a computer. Now, it is not necessary to use special lenses to produce \"soft\" images. Moreover, filters can be applied to the image at any time.\n\nThe differences in the processing are straightforward. Using the digital technology, every change to the image can be seen on the screen more or less immediately. If the user does not like the changes, he can revert them usually by pressing single button. The costs of material are zero evens when the most complicated operations are performed. Changes of colors, brightness, or contrast cost only a little bit of electricity. Moreover, most of the image processing programs offers functions that are not possible to do with a standard photography at all, or that have very high technological requirements.\n\nSeveral image-processing programs are available on the market in these days, like Adobe Photoshop, Aldus Gallery Effects, PhotoFusion, or Aldus Photostyler. However, none of these programs offers its functions to be used by other programs. Unfortunately, literature describing special image transformations is also nearly non-existent.\n\nThis contribution describes a library that offers programmers a possibility to use several image-processing algorithms, like sharpening, softening, several brightness corrections, and special geometrical and other transformations.\n\nThe purpose of all the filters is to make the work of professional photographers Easier and allow them to correct the digital photographs in a simple way. They can improve damaged images, sharpen the images that require improvement of resolution, or do the opposite to achieve artistic impression. It is also possible to lighten or darken the image, create a negative image, or clip the image with arbitrary shape.\n\nThe library contains filters that have purely artistic effect. These can convert photographed images to images that look like that they have been painted, increase a granularity, deform them, or change their appearance in a way that they look like seen in a broken mirror. Effect of a lens or fish eye are achieved by projecting the image on a spherical surface, also available are geometrical transformations as skew, zoom, etc.\n\nAll the effects mentioned above are contained in a single library, which is implemented in C++ and which is platform independent.\n\nGeneral description of raster transformation\n\nThe transformation of a raster image is based on the transformation function, which assigns the values calculated from the original raster values to the new raster. It means that each point [x,y]of the new raster is assigned a value of the transformation function corresponding with the original raster.\n\n New[x,y] = f(Old[i,j]) iÎ á 0..X) , jÎ á 0..Y) , (1)\n\nWhere f is the transformation function, X and Y are the width and height of the original raster, resp. and [x,y] are the Cartesian raster coordinates. New is the identification of the new raster and Old is the identification of the original raster. The equation (1) is valid for each point [x,y] of the new raster where\n\nxÎ á 0..NX), yÎ á 0..NY),\n\nNX is the width and NY is the height of the new image (they may, but not necessarily, be identical with the X,Y values of the original image).\n\nFor the transformation\n\n g(x,y) = [x',y'], (2)\n\nWhere [x,y] are the coordinates of the original raster and [x',y'] are the coordinates of the new raster a situation may occur where x',y' are values of a real type which means that the value of the [x,y] point of the original image Old[x,y] must be distributed over the neighboring points of the raster by means of an interpolation function.\n\n[nx,ny], [nx+1,ny],\n\n[nx,ny+1], [nx+1,ny+1],\n\nwhere it is valid that\n\n nx < x' < nx+1, ny < y' < ny+1. (3)\n\nFig. 1.\n\n Old New", null, "0 = [x,y], 0'= [x',y'], 1 = [nx, ny ], 2 = [nx+1,ny], 3 = [nx,ny+1], 4 = [nx+1,nx+1].\n\nThe resulting value of the [x',y'] point must be interpolated into the points 1,2,3,4 of the new raster .\n\nMathematical notation of raster filters\n\nMany of the raster transformations may be described by mathematical equations. The conventions for the description of these operations will be given.\n\nX,Y - dimension of the raster\n\nA - maximum angle of the polar coordinates (here 360°),\n\nR - maximum radius of the polar coordinates\n\nZ - maximum point intensity\n\n% - operator modulo,\n\n[x,y] - Cartesian coordinates of the raster point\n\n{r,a} - polar coordinates of the raster point , r is the radius (distance from the center) and a is the angle.\n\nOld[x,y] - value of the color of the original image in the [x,y] point\n\nq(x,y,N) - value of the most frequently used color in the original raster from the [x-N,y-N] to the[x+N,y+N] point\n\nThe transformations will be recorded in the following form:\n\n New[x,y] = f(Old[dx,dy]), (4)\n\nkde y = 0..Y, x = 0 .. X.\n\nIn the transformations the Cartesian coordinates are converted to polar coordinates and vice versa:\n\na = atan(y/x),\n\nr = sqrt(x2 + y2),\n\nxval = r * cos(a),\n\nyval = -r * sin(a).\n\nEffect of an image painted by oil (Oil)\n\nThe following equation refers to this effect:\n\n New[x,y] = q(x,y,N), (5)\n\nWhere N equals 1..5.\n\nEffect of a random shear image (Shear)\n\nThis effect is difficult to be described by an equation:\n\n New[x,y] = Old[dx,dy], (6)\n\nWhere the dx,dy differ from the previous dx,dy values (in the previous point) by o ± 1 (at random). An impression of an image waved at random in both directions is created.\n\nEffect of the random shifted image parts (Slice)\n\nThis the equation for this effect:\n\n New[x,y] = Old[x+xshift[y],y+yshift[x]], (7)\n\nWhere the xshift,yshift values represent the random shifts in the range of ± 31 in blocks from 8 to 39 points at random in both directions.\n\nMelt Effect (Melt)\n\nAn impression is made of an icy image, which is melting. This transformation first requires the copy of the original image (it operates in situ):\n\nNew[x,y] = Old[x,y],\n\nThe x, y coordinates are chosen at random for which the following is true:\n\n:\n\n If New[x,y] Ł New[x,y+1], then swap(New[x,y],New[x,y+1]), (8)\n\nWhere swap is the function for values exchange. This is repeated for the total number of the raster points.\n\nTile Effect (Tile)\n\nThe image is divided into square parts of a constant size which are distributed at random distances from the original site:\n\n New[dx+ox,dy+oy] = Old[dx,dy], (9)\n\nWhere dx passes from x to TileSize and dy passes from y to TileSize, where x,y are the multiples of TileSize. The ox,oy are random values in the range of ± 16 and they are constant for a particular section of the raster.\n\nMatte Effect (Effect of the inversive image thresholding)\n\nThe image according to the GAMMA value is inversibly thresholded:\n\n New[x,y] = lookup[Old[x,y]], (10)\n\nWhere the following is defined for each color:\n\nlookup[color] = (Z(color/Z)GAMMA < 3.0)? Z : 0.\n\nGamma Correction (Intensity Correction)\n\nMathematical equation for this transformation:\n\n New[x,y] = Old[x,y]Koef, (11)\n\nIf koef>1, the image intensity increases, if Koef<1, the image intensity decreases.\n\nNegative Image (Negative)\n\nOne of simple transformations:\n\n New[x,y] = Z - Old[x,y]. (12)\n\nCut Circle\n\nThe transformation is based on the circle equation:\n\n If (x-X/2)2/(X/2)2 +(y-Y/2)2/(Y/2)2 < 1 Then new[x,y] = Old[x,y], Or New[x,y] = 0. (13)\n\nImage Solarization\n\nSolarization process which disappears from the left to the right:\n\n New[x,y] = (Old[x,y] > (Zx)/(2X)) ? Old[x,y]:Z-Old[x,y]. (14)\n\nRelief Map Effect\n\nThe plastic relief is created by the combination of the original and shifted half negatives:\n\n New[x,y] = Old[x,y] + (Z/2 - Old[x+2,y+2]). (15)\n\nImage Shrink\n\nThe coordinates of the original raster are multiplied by the coefficient:\n\n New[x,y] = Old[xKoef,yKoef], (16)\n\nwhere Koef > 1.\n\nEffect of an interesting caricature (Caricature)\n\nIn this transformation, polar coordinates are used:\n\n New[x,y] = Old{sqrt(rR),a}, (17)\n\nWhere sqrt is the root of the number.\n\nFish Eye Effect (Fish Eye)\n\nThe transformation results in a convex image.\n\n New[x,y] = Old{r2/R,a}. (18)\n\nSwirled image Effect (Swirled)\n\nSwirled image is formed by:\n\n New[x,y] = Old{r,a + r/Koef}. (19)\n\nCylinder Mirror Effect (Cylinder)\n\nThe upper edge of the raster is drawn to the center, the left and right edges are fused.:\n\n New[x,y] = Old[aX/A,rY/R]. (20)\n\nHorizontal Mirror Effect (Horizontal Mirror)\n\nDepending on the value identifying the side, the left or right side may be reflected.\n\n New[x,y] = xX/2 ? Old[x,y]:Old[X-x,y]. (21) (22)\n\nBathroom (Bathroom 2) Window Effect\n\nThese transformations are in [Holzm] called bathroom window views.\n\n New[x,y] = Old[x + (x%32)-16,y], New[x,y] = Old[x + ((a+r/10)%32)-16,y]. (23) (24)\n\nImage Blur (Blurred Image)\n\nThe mean value of the surrounding points is calculated by this transformation.\n\n New[x,y] = avr(x,y,N), (25)\n\nWhere avr(x,y,N)calculates the mean in the surrounding of the point [x,y] in the distance ± N/2.\n\nPixelized Image (Pixelize)\n\nThis transformation calculates the mean value of the surrounding points and poses this mean value to all these points:\n\n New[x,y] = avr(dx,dy,N), (26)\n\nwhere avr(dx,dy,N)calculates the mean in the [dx,dy] field , where the size of this field (area) is N2.\n\nBasic equations for the operations with convolution masks:\n\nThe filters are defined by a matrix having dimensions either 3x3 or 5x5. This will be illustrated by the matrix which produces identity from the original image.\n\n Mask: M = 0 0 0 (27) 0 1 0 0 0 0\n\nCalculation of the point value New[x,y]:\n\n New[x,y] = Old[x-1,y-1] Old[x,y-1] Old[x+1,y-1] Old[x-1,y ] Old[x ,y ] Old[x+1,y ] Old[x-1,y+1] Old[x ,Y+1] Old[x+1,y+1] M[1,1] + * M[2,1] + * M[3,1] + * M[1,2] + * M[2,2] + * M[3,2] + * M[1,3] + * M[2,3] + * M[3,3] (28)\n\nSome masks are assigned a coefficient koef, by which the resulting value should be divided, and some masks are, moreover, assigned the Bias, which is added to the resulting value:\n\n New[x,y] = New[x,y]/koef + Bias (29)\n\nThe koef and Bias values equal 1 and 0, resp. in other filters.\n\nEdge detection\n\n This filter is defined by three matrixes: Heavy edge detection 1 -2 1 (30) -2 4 -2 1 -2 1\n\n Medium edge detection -1 -1 -1 (31) -1 8 -1 -1 -1 -1\n\n Light edge detection 0 1 0 (32) 1 -4 1 0 1 0\n\nEmboss filter\n\n Bias = Z/2 value is set for this filter -1 0 0 (33) 0 0 0 0 0 1\n\nEnhanced detail\n\n The coefficient koef for this mask equals 6. 0 -1 0 (34) -1 10 -1 0 -1 0\n\n Enhanced edges -1 -1 -1 (35) -1 9 -1 -1 -1 -1\n\n Enhanced focus -1 0 -1 (36) Koef = 3 0 7 0 -1 0 -1\n\n Reduce jaggies 0 0 -1 0 0 (37) 0 0 3 0 0 -1 3 7 3 -1 0 0 3 0 0 0 0 -1 0 0\n\nSoften filter\n\n Heavy soften filter koef = 99 11 11 11 (38) 11 11 11 11 11 11\n\n Medium soften filter koef = 100 10 10 10 (39) 10 20 10 10 10 10\n\n Light soften filter koef = 97 6 12 6 (40) 12 25 12 6 12 6\n\n Blur light 1 2 1 (41) koef = 14 2 2 2 1 2 1\n\nImplementation of image filters\n\nSo far, all the image transformations take into account the same size of the original and transformed snaps. Therefore the same variables for raster sizes are used for implementation:\n\nXsize - raster width\n\nYsize - raster height\n\nTherefore, the basic algorithm implementation is used for each transformation:\n\nfor y varying from 0 to Ysize\n\nfor x varying from 0 to Xsize\n\nexecute transformation.\n\nEffect of an image painted by oil\n\nThe field of 256 items for histogram storage (number of the colors used in the section given) was necessary for this effect. In the environment (surroundings) of each point [x,y] in the range limited by the points [x-N,y-N], [x+N,y+N], the multiplicity of the colors used is stored in the field declared. After this, the most frequently used color is chosen out of this histogram and recorded into the allocated structure for storing the image to the [x,y] position. The algorithm is repeated for each item of the image raster in this way. To calculate the RGB components for the intensity in the range of 256 levels the following equation is used:\n\nI = 0.299r + 0.587g + 0.114b .\n\nEffect of a random shear image\n\nIn the main cycle, the shift in the direction given, which is prepared in the allocated shift field yshift[], is added to each coordinate. This field contains random figures having maximum difference of ±1. The X-shift is calculated as early as in the main cycle.\n\nEffect of the random shifted image parts (Slice)\n\nFor two declared fields, the shift of blocks in the range from 8 to 39 pixels is designed in two independent cycles. These blocks can be shifted by ± 31 points. In the main cycle only the precalculated shifts are added to the original coordinates. Three RGB image components are always presented.\n\nMelt Effect\n\nThis effect operates \"in situ\" - therefore, an original raster copy must be first made in the allocated space. The program identifies the number of raster points (the number of transformation cycles). In each cycle the random x,y coordinates are chosen. The color value in this location is compared with that of the point chosen on the x,y+1 coordinates. If the value of the color under an accidentally chosen point is higher or equals the value of the point chosen, these two color values are interchanged.\n\nTile Effect\n\nBoth the immersed cycles increase the x,y values by the size of the TileSize section. In the interior of these cycles the random relative shift of these sections is calculated. After this, these shifts are added to the coordinates of the original image, and the complete parts are simultaneously transformed into the allocated memory. It must be also checked if the calculated shift does not happen to exceed the raster.\n\nMatte Effect (Effect of the inversive image thresholding)\n\nFor the intensity level values, each level will be calculated from the equation given in the previous chapter (under the equation designed by (10)) or this intensity will be marked by white or black colors. These values will be stored in the field lookup[], to which each intensity of the original raster will be referred. The intensity which will be inserted as index into the lookup field is calculated from the RGB components on the x,y coordinates. The value in the lookup[] field will be assigned to the new raster in the x,y position.\n\nGamma Correction (Intensity Correction)\n\nIn the new transformation cycle, the original component multiplied by the coefficient given will be assigned to each RGB component. However, the exceeding of the value of the color component must be observed (if this occurs, maximum value of the component must be set).\n\nNegative Image (Negative)\n\nThe new RGB components are assigned the value of the difference of the maximum component value and the original RGB component.\n\nCut Circle\n\nThe condition in the immersed cycle determines if the point is copied into the new raster or clear to zero depending on the fact if the point coordinates are situated inside the circle which is determined by the quotation with the parameters of the image size.\n\nImage Solarization\n\nThe value of the image intensity is calculated for each point. This is compared by the equation (14). This condition being met, the original value of the RGB component is recorded. Otherwise, the inversion value of the component is recorded.\n\nRelief Map Effect\n\nIntensities are calculated for the points [x,y], [x+2,y+2] from the RGB components. Next, each RGB component of the new raster is assigned an intensity value on the original site added up to intensity value produced by subtracting the half value of the maximum intensity and the intensity in the point [x+2,y+2].\n\nImage Shrink\n\nThe point value of the new raster is assigned the value from the position [xKoef,y*Koef] of the original raster\n\nwhere Koef is the initial value of this transformation.\n\nEffect of an interesting caricature (Caricature)\n\nThe r,a values of the polar coordinates are calculated for the Cartesian coordinates values x,y. The r,a values are introduced into the equation (17) and are retransformed to Cartesian coordinates. The point of the new raster is assigned the value of the of these retransformed coordinates.\n\nFish Eye Effect\n\nThe transformation is the same as in the previous case except for the polar coordinates, which are introduced into the equation (18).\n\nSwirled image Effect\n\nThe same procedure as in the previous transformations. Equation (19).\n\nCylinder Mirror Effect\n\nThe polar coordinates are calculated and introduced into the Cartesian coordinates according to the equation (20). All the RGB components are transformed and it is tested if the retransformed coordinates are not located beyond the range of the raster.\n\nHorizontal Mirror Effect\n\nThe transformation of all the RGB components is performed according to the equations (21) and (22), resp., depending on the half of the image to be reflected.\n\nBathroom (Bathroom 2) Window Effect\n\nEach of the components is assigned equation (23) or (24) for Bathroom or Bathroom 2, resp. These equations are applied to each of the components of the original image.\n\nImage Blur (Blurred Image)\n\nIn two immersed cycles all the RGB components of the original snap are added in the range from the point [x-N/2, y-N/2] to the point [x+N/2, y+N/2] and the mean value of the components is calculated which is then introduced into the new raster to the [x,y] position.\n\nPixelized Image\n\nThe mean values of the relevant areas are calculated for the pixel size given. These calculated means of the components are then assigned to the corresponding area.\n\nMatrix Transformations\n\nAccording to the convolution mask and the equations (28) and (29) the values of all the image points are calculated.\n\n4. Summary\n\nFrom the point of view of the fine art, these effects are to be regarded as suitable creative tools producing further opportunities to change the images and photographs. An area of creation with incredible possibilities has been formed. Next to the transformation and the filters, which particularly depend on the technology, the individual images can be re-painted and re-drawn. However, these processes call for a more individual approach. In no case, the deformation and filtration can be regarded as \"automatic\" techniques. This classification may result only from ignorance. On the contrary, these techniques demand much time and effort especially if an above-average result is strived after.\n\nCurrently, there is only little published data describing the range of problems concerning the image filters in greater detail. Nevertheless, these transformations are used for professional image processing of actual images - the digital photographs. In future, the association of these programs with digital cameras having high distinguishing abilities can be expected. The images of these cameras contain as many as several megabytes (a good image contains approximately 50 MB). Therefore, fast algorithms are preferred for processing by effective computers.\n\nThe library of special image filters has been compiled for the applications in the users programs, which deal with scanning and modification of actual images. The range of the library is designed to meet the needs of the users own application. The raster procedures of the library are implemented in the C++ language in a way to be independent on the particular technical equipment. The limitations are posed only by the size of the operation memory. The memory allocation is not associated with the above transformations. So far, this library has been tested by PCs under operation systems MS DOS, Windows 3.1, Windows 95 and Windows NT.\n\nThe characteristics of the library produced depend on the representation of numeral types in different operational systems. E.g. the numeral type integer is defined for 32 bites in the UNIX system while it is defined only for 16 bites in MS DOS. However, the library is implemented to be limited to the range of the values of the long type. As a result, the images, which cannot be displayed in the standard sets, can be processed. In some more complicated procedures, the rates of the transformations depend on the speed of the processor and the size of the image.\n\nThere are great possibilities to continue this project, as there are many interesting and useful image filters, which can complement this library.\n\nBy means of this project, interesting and useful transformations of actual images can be produced exceeding the entertainment purposes.\n\nReferences:\n\n [Holzm] Holzmann, G.J.: Beyond Photography - The Digital Darkroom, AT&T Bell Laboratories, Murray Hill, New Jersey, 1990 [Knapp] Knapp, M.: Digitální fotografie, 1.edition, catalog no.: CH011, VOGEL Publishing, s.r.o., Prague, May 1995 [Bernd] Bernd, D.: Malování a kreslení, 2.edition, catalog no.: CH016, VOGEL Publishing, s.r.o., Prague, October 1996 [POPI] Frede, S.: Perform Interactive Digital Image Transformations, reference manual pages, Softway Pty Ltd, Australia, 1989 [Xview] Bradley, J.: Xview 3.10, reference manual pages, University of Pennsylvania - GRASP Lab, 1994 [Hall] Hall, R.A., Greenberg, D.P.: A Testbed for Realistic Image Synthesis, Computer Graphics & Animation, November 1993 [Sochor] Sochor, J., Žára, J.: Algoritmy počítačové grafiky, Vydavatelství ČVUT, 1993\n\nSome transformations of the image chosen will be presented.\n\nOriginal pictures:", null, "", null, "Oil painting:", null, "", null, "Slice effect: Shear effect:", null, "", null, "Melt effect: Tile effect:", null, "", null, "Solarisation effect: Negative:", null, "", null, "Caricature: Fish Eye effect:", null, "", null, "Cylinder effect: Whirlpool (swirled):", null, "", null, "Bathroom: Bathroom2:", null, "", null, "", null, "", null, "Pixelized image: Blur image:", null, "", null, "Horizontal mirror: Sharpen image:", null, "", null, "LIC algorithm with L = 10: LIC algorithm with L = 25:", null, "", null, "LIC algorithm with L = 50: LIC algorithm with L = 30:", null, "", null, "Emboss filter (Relief map): Filter combination Oil-painting and Sharp (99%):", null, "", null, "Oil-painting and Sharp (80%): LIC and Enhanced edges:", null, "", null, "" ]	[ null, "https://old.cescg.org/CESCG97/boros/picture/image27.gif", null, "https://old.cescg.org/CESCG97/boros/picture/strauss.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/rose2.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/oil_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/oil_r.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/slice_r.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/shear_r.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/melt_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/tile_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/solar_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/neg_r.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/caric_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/fish_r.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/cylin_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/swirl_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/bath_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/bath2_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/rotate_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/spread_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/pixel_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/blur_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/mirror_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/sharp_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/wave10_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/wave25_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/wave50_s.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/wave30_r.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/emb_r.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/shoilr.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/shoilr2.jpg", null, "https://old.cescg.org/CESCG97/boros/picture/edgwa_s.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8616827,"math_prob":0.9856605,"size":25152,"snap":"2021-31-2021-39","text_gpt3_token_len":6271,"char_repetition_ratio":0.17150469,"word_repetition_ratio":0.05560683,"special_character_ratio":0.262007,"punctuation_ratio":0.13224638,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.97648275,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62],"im_url_duplicate_count":[null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null,3,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-08-03T00:52:25Z\",\"WARC-Record-ID\":\"<urn:uuid:6f2de42c-51b3-497c-8dc3-99119ea8a6b9>\",\"Content-Length\":\"72726\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:db5cf324-356c-418d-a4a4-ae5900380fde>\",\"WARC-Concurrent-To\":\"<urn:uuid:b25e89f6-ea23-4d8c-ae04-08818c99b774>\",\"WARC-IP-Address\":\"128.130.118.33\",\"WARC-Target-URI\":\"https://old.cescg.org/CESCG97/boros/\",\"WARC-Payload-Digest\":\"sha1:JHZUKRJFS2N5VVSLLXOMARHCV6YJVXOQ\",\"WARC-Block-Digest\":\"sha1:BY4HRFHHFVMNSKPIU726Z62VJ32RN2PN\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-31/CC-MAIN-2021-31_segments_1627046154408.7_warc_CC-MAIN-20210802234539-20210803024539-00445.warc.gz\"}"}
https://www.caretxdigital.com/how-to-calculate-amperage-in-a-parallel-circuit/	[ "# How To Calculate Amperage In A Parallel Circuit\n\nBy \| January 15, 2022\n\nSeries and parallel circuits learn sparkfun com simple electronics textbook how to calculate voltage in circuit example problems detailed facts sources formula add electrical4u electrical electronic physics tutorial the cur a with r1 100 r2 250 r3 350 r4 200 quora does distribute itself for equal resistance 11 2 ohm s law electric siyavula that flows through relation diffe branches gcse electricity what is science solve 10 steps pictures wikihow calculations inst tools electrotech text alternative solved finding khan academy please help calculation questions 1 chegg divider kirchhoff laws rl resistors course hero", null, "Series And Parallel Circuits Learn Sparkfun Com", null, "Simple Parallel Circuits Series And Electronics Textbook", null, "How To Calculate Voltage In Parallel Circuit Example Problems And Detailed Facts", null, "Voltage In Parallel Circuits Sources Formula How To Add Electrical4u", null, "Electrical Electronic Series Circuits", null, "Physics Tutorial Parallel Circuits", null, "Electrical Electronic Series Circuits", null, "Series And Parallel Circuits Learn Sparkfun Com", null, "How To Calculate The Cur In A Series Parallel Circuit With R1 100 R2 250 R3 350 And R4 200 Quora", null, "How To Calculate Voltage In Parallel Circuit Example Problems And Detailed Facts", null, "How Does Voltage Distribute Itself In A Parallel Circuit For Equal Resistance Quora", null, "11 2 Ohm S Law Electric Circuits Siyavula", null, "How To Calculate The Cur In A Series Parallel Circuit With R1 100 R2 250 R3 350 And R4 200 Quora", null, "How To Calculate The Cur That Flows Through A Parallel Circuit In Relation Resistance Diffe Branches Quora", null, "Physics Tutorial Parallel Circuits", null, "Gcse Physics Electricity What Is The Cur In A Parallel Circuit How To Calculate Science", null, "How To Solve Parallel Circuits 10 Steps With Pictures Wikihow", null, "Electrical Electronic Series Circuits", null, "Parallel Circuit Cur Calculations Inst Tools", null, "Electrotech Text Alternative\n\nSeries and parallel circuits learn sparkfun com simple electronics textbook how to calculate voltage in circuit example problems detailed facts sources formula add electrical4u electrical electronic physics tutorial the cur a with r1 100 r2 250 r3 350 r4 200 quora does distribute itself for equal resistance 11 2 ohm s law electric siyavula that flows through relation diffe branches gcse electricity what is science solve 10 steps pictures wikihow calculations inst tools electrotech text alternative solved finding khan academy please help calculation questions 1 chegg divider kirchhoff laws rl resistors course hero" ]	[ null, "https://i1.wp.com/cdn.sparkfun.com/assets/d/a/4/1/3/51ba2522ce395f0f4e000002.png", null, "https://i0.wp.com/www.allaboutcircuits.com/uploads/articles/table-2.jpg", null, 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https://homework.cpm.org/category/CCI_CT/textbook/int1/chapter/A/lesson/A.1.3/problem/A-34	[ "", null, "", null, "### Home > INT1 > Chapter A > Lesson A.1.3 > ProblemA-34\n\nA-34.\n\nAlicia used $4$ gallons of gasoline to travel $90$ miles.\n\n1. Is this a proportional situation?\n\n2. At the same rate, how far can she travel on a full tank that holds $18$ gallons?\n\nSet up a proportion problem to find how many miles Alicia can travel with $18$ gallons of gasoline.\n\n$\\frac{90}{4}=\\frac{x}{18}$" ]	[ null, "https://homework.cpm.org/dist/7d633b3a30200de4995665c02bdda1b8.png", null, 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https://www.lsforum.net/board/viewthread.php?tid=292692	[ "本區搜索:\nYahoo!字典\n\n# [Core] 請教中四數學題\n\n## 請教中四數學題", null, "[ 本帖最後由 rchan626 於 2020-11-3 05:22 PM 編輯 ]\n\nTOP\n\n ehbb", null, "資深版主", null, "", null, "", null, "發短消息加為好友當前離線 2# 大中小發表於 2020-11-3 06:28 PM (第 325 天) 只看該作者 [顯示] [隱藏]", null, "known: 1. DE = FG = k 2. AC = 5 (pyth thm) 3. shortest distance from B to AC thus height of triangle BDG = (a) - k let DG = EF = y, Area of DEFG = ky let AE = x, then FC = 5-x-y AND, Area DEFG = Area of triangle ABC - (Area of triangle BDG + Area of triangle ADE + Area of triangle FCG) = 3x4/2 - {y[(a)-k]/2 + kx/2 + k(5-x-y)/2} = 6 - {y[(a)-k]/2 + kx/2 + (5k-kx-ky)/2} = 6 - {y[(a)-k]/2 + kx/2 + 5k/2 - kx/2 - ky/2} = 6 - {y[(a)-k]/2 + 5k/2 - ky/2} Solve for y 如果佢等於5/12(12-5k)可以嗎? p.s. Area of DEFG = ky = k [5/12(12-5k)] UID221576 帖子2468 精華0 積分150 閱讀權限100 在線時間3078 小時註冊時間2011-6-6 最後登錄2021-9-23 查看詳細資料 TOP\n 風之男", null, "學院師父", null, "發短消息加為好友當前離線 3# 大中小發表於 2020-11-3 07:38 PM (第 325 天) 只看該作者 My first instinct with these \"rectangle inscribed in a polygon\" questions is to look out for similar triangles. Note that triangles ABC, AED, DBG and GFC are all similar [Why? That's your homework]. Now, by considering AE and FC, can you express EF in terms of k? This hint basically spoils the outline of the solution. Surprisingly, you don't need to use (a) at all to complete (b) or (c) [Ugh], although it does raise the interesting question \"what does it mean by k=12/5 [hmm... where did you see this number before?] or, as odd as it sounds, k=0?\". Btw, your answer might end up looking similar but not quite the same. Don't worry, they are equivalent when you expand out the \"to show\" expression. [ 本帖最後由風之男於 2020-11-3 07:57 PM 編輯 ] UID216418 帖子934 精華0 積分115 閱讀權限40 在線時間1610 小時註冊時間2011-5-4 最後登錄2021-9-23 查看詳細資料 TOP\n##### 引用:\n\nknown:\n1. DE = FG = k\n2. AC = 5 (pyth thm)\n3. shortest distance from B to AC\nthus height of triangle BDG = (a) - k\n\nlet DG = EF = y, Area of DEFG = ky\nlet AE = x, then FC = 5-x-y\n\nAND, Area D ...\n\nTOP\n\n##### 引用:\n\nI'm not sure how exactly did you get to that expression, maybe there are some algebra errors or something.\nNow let me rephrase ehbb's method a little bit, so it \"looks\" nicer.\n\nSuppose AE = x, EF = y, FC = 5-x-y\n[It doesn't make a difference, but adding things up instead of subtracting things away \"feels\" nicer]\n\nOne way of expressing the area of ABC is, well, the obviously way - it's just 3*4/2 = 6.\nThe other way is adding up all the 4 parts - 3 triangles and a rectangle. ehbb did a great job as to what the 4 small parts' areas are.\nThe trickiest one is DBG, where the base is DG, and the height is what you get from (a) minus k [Why? Pause and ponder]\nTherefore, the long chain of adding up areas should equal to 6, which then you have to simplify...\nNow don't forget our goal, we want to know what EF (i.e. y) is in terms of k.\n\nI still prefer utilizing similar triangles more, but this approach works.\n\n[ 本帖最後由風之男於 2020-11-3 10:58 PM 編輯 ]\n\nTOP\n\n 風之男", null, "學院師父", null, "發短消息加為好友當前離線 6# 大中小發表於 2020-11-3 11:19 PM (第 325 天) 只看該作者 Here's a bonus desmos for you. https://www.desmos.com/calculator/xspfchzosk?lang=zh-TW For now just assume c as any number that dictates how the rectangle looks. You can see how the k value (length of FG) as the rectangle varies, which answers the question \"what does it mean by k=12/5\". [ 本帖最後由風之男於 2020-11-3 11:21 PM 編輯 ] UID216418 帖子934 精華0 積分115 閱讀權限40 在線時間1610 小時註冊時間2011-5-4 最後登錄2021-9-23 查看詳細資料 TOP\n rchan626", null, "初級學徒發短消息加為好友當前離線 7# 大中小發表於 2020-11-4 11:25 AM (第 324 天) 只看該作者計到了, 原本自己計既方向都係正確, 只係去到埋尾突然個腦轉唔到, 唔該晒各位. Area of DEFG=[12-5k+y(2k-2.4)]/2 yk=[12-5k+y(2k-2.4)]/2 2yk=12-5k+y(2k-2.4) 2yk=12-5k+2yk-2.4y 2.4y=12-5k y=(12-5k)/2.4 y=5(12-5k)/12 therefore yk=5k(12-5k)/12 UID502614 帖子3 精華0 積分0 閱讀權限5 在線時間1 小時註冊時間2020-11-3 最後登錄2020-11-4 查看詳細資料 TOP\n 重要聲明:小卒資訊論壇是一個公開的學術交流及分享平台。論壇內所有檔案及內容都只可作學術交流之用，絕不能用商業用途。所有會員均須對自己所發表的言論而引起的法律責任負責(包括上傳檔案或連結)，本壇並不擔保該等資料之準確性及可靠性，且概不會就因有關資料之任何不確或遺漏而引致之任何損失或損害承擔任何責任(不論是否與侵權行為、訂立契約或其他方面有關 ) 。" ]	[ null, "https://www.linkpicture.com/q/math.jpeg", null, "https://www.lsforum.net/board/images/avatars/noavatar.gif", null, "https://www.lsforum.net/board/images/default/star_level3.gif", null, "https://www.lsforum.net/board/images/default/star_level3.gif", null, "https://www.lsforum.net/board/images/default/star_level2.gif", null, "https://servedby.adsfactor.net/adv.php", null, "https://www.lsforum.net/board/images/avatars/noavatar.gif", null, "https://www.lsforum.net/board/images/default/star_level3.gif", null, "https://www.lsforum.net/board/images/avatars/noavatar.gif", null, "https://www.lsforum.net/board/images/default/star_level3.gif", null, "https://www.lsforum.net/board/images/avatars/noavatar.gif", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.90037906,"math_prob":0.97444403,"size":1152,"snap":"2021-31-2021-39","text_gpt3_token_len":395,"char_repetition_ratio":0.08362369,"word_repetition_ratio":0.0,"special_character_ratio":0.3012153,"punctuation_ratio":0.13207547,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9509689,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22],"im_url_duplicate_count":[null,1,null,null,null,null,null,null,null,7,null,8,null,null,null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-09-23T20:17:59Z\",\"WARC-Record-ID\":\"<urn:uuid:02e58c8c-368e-4940-a902-f63d0dc1cb58>\",\"Content-Length\":\"50534\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f1cbaa76-1330-4d07-8a32-cf37c9b16686>\",\"WARC-Concurrent-To\":\"<urn:uuid:5672ef1f-7bb2-4ef5-8a9a-2106b44e0a0d>\",\"WARC-IP-Address\":\"172.67.200.195\",\"WARC-Target-URI\":\"https://www.lsforum.net/board/viewthread.php?tid=292692\",\"WARC-Payload-Digest\":\"sha1:HKBZX3PAIY34YRQBS4FUGUHFR7AEVJUF\",\"WARC-Block-Digest\":\"sha1:ZVGGRFKWRG4QT6UGIKF4WQIITQNZ66RJ\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-39/CC-MAIN-2021-39_segments_1631780057447.52_warc_CC-MAIN-20210923195546-20210923225546-00002.warc.gz\"}"}
https://www.flexiprep.com/NCERT-Exercise-Solutions/Mathematics/Class-7/Ch-5-Linear-And-Angles-Exercise-5-1-Solutions-Part-2.html	[ "# NCERT Class 7 Mathematics Solutions: Chapter 5 – Linear and Angles Exercise 5.1 Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)\n\nGet unlimited access to the best preparation resource for CBSE/Class-7 : get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-7.\n\n1. Identify which of the following pairs of angles are complementary and which are supplementary:\n\n(i)\n\n(ii)\n\n(iii)\n\n(iv)\n\n(v)\n\n(vi)\n\nThe sum of the measures of complementary angles is and that of supplementary angles .\n\n(i)\n\nSum of the measures of these angles\n\nThese angles are supplementary angles.\n\n(ii)\n\nSum of the measures of these angles\n\nThese angles are complementary angles.\n\n(iii)\n\nSum of the measures of these angles\n\nThese angles are supplementary angles.\n\n(iv)\n\nSum of the measures of these angles\n\nThese angles are supplementary angles.\n\n(v)\n\nSum of the measures of these angles\n\nThese angles are complementary angles.\n\n(vi)\n\nSum of the measures of these angles\n\nThese angles are complementary angles.\n\n2. Find the angle which is equal to its complement." ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8916908,"math_prob":0.95064497,"size":1162,"snap":"2021-43-2021-49","text_gpt3_token_len":266,"char_repetition_ratio":0.26943004,"word_repetition_ratio":0.27083334,"special_character_ratio":0.22977625,"punctuation_ratio":0.12162162,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9949663,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-11-28T20:16:08Z\",\"WARC-Record-ID\":\"<urn:uuid:959efbcf-7a62-4550-a981-6b09651c8adc>\",\"Content-Length\":\"18291\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:4a2836bb-d19c-4868-b659-a05aa3c11371>\",\"WARC-Concurrent-To\":\"<urn:uuid:4e1b2f30-b8bc-43b6-9cfc-41640671ad34>\",\"WARC-IP-Address\":\"104.21.77.56\",\"WARC-Target-URI\":\"https://www.flexiprep.com/NCERT-Exercise-Solutions/Mathematics/Class-7/Ch-5-Linear-And-Angles-Exercise-5-1-Solutions-Part-2.html\",\"WARC-Payload-Digest\":\"sha1:F6RUMFGUOB4NL2SOPQKHWWIOJA54NLDO\",\"WARC-Block-Digest\":\"sha1:DJQR3IHZN3YPDBMNZ7N5TRDONYC33YFP\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-49/CC-MAIN-2021-49_segments_1637964358591.95_warc_CC-MAIN-20211128194436-20211128224436-00293.warc.gz\"}"}
https://www.arxiv-vanity.com/papers/0709.3244/	[ "arXiv Vanity renders academic papers from arXiv as responsive web pages so you don’t have to squint at a PDF. Read this paper on arXiv.org.\n\n# Spin currents in rough graphene nanoribbons: Universal fluctuations and spin injection\n\nMichael Wimmer These authors contributed equally to this work. Institut für Theoretische Physik, Universität Regensburg, D-93040, Germany İnanç Adagideli These authors contributed equally to this work. Institut für Theoretische Physik, Universität Regensburg, D-93040, Germany Savas Berber Institut für Theoretische Physik, Universität Regensburg, D-93040, Germany Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824-2320, USA David Tománek Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824-2320, USA Institut für Theoretische Physik, Universität Regensburg, D-93040, Germany Klaus Richter Institut für Theoretische Physik, Universität Regensburg, D-93040, Germany\nApril 9, 2020\n###### Abstract\n\nWe investigate spin conductance in zigzag graphene nanoribbons and propose a spin injection mechanism based only on graphitic nanostructures. We find that nanoribbons with atomically straight, symmetric edges show zero spin conductance, but nonzero spin Hall conductance. Only nanoribbons with asymmetrically shaped edges give rise to a finite spin conductance and can be used for spin injection into graphene. Furthermore, nanoribbons with rough edges exhibit mesoscopic spin conductance fluctuations with a universal value of .\n\n###### pacs:\n85.75.-d 73.63.-b 72.25.-b 73.22.-f\n\nAfter their experimental discovery in 2004 Geim , monolayers of graphite have attracted much experimental and theoretical attention owing to their unusual band structure GrapheneReviews . Graphene has also been suggested as a good candidate for spin based quantum computing and spintronics Trauzettel , as it is expected to have long spin decoherence/relaxation times MacDonald_dani06 . This prospect led to the recent interest in generating and manipulating net spin distributions in graphene. Recently, spin injection from ferromagnetic metal contacts into graphene has been achieved vanWees ; Fuhrer ; Hill ; Shiraishi .\n\nTransport properties of graphene nanoribbons (GNR) are expected to depend strongly on whether they have an armchair or zigzag edge orient_cond . In GNRs with zigzag edges, transport is dominated by edge states which have been observed in scanning tunneling microscopy ES:exp . Moreover, owing to their high degeneracy, these states are expected to be spin polarized FujitaJPSJ , making zigzag GNRs attractive for spintronics Son06 . In addition, edge states are expected to occur also in nanoribbons with other edge orientations Akhmerov . Recently, the first transport experiments have been performed in narrow ribbons of graphene Kim , albeit with not well defined edges. Recent theoretical work focused on charge transport through rough GNRs Blanter_CastroNeto , but spin transport properties have not been explored yet.\n\nIn the present work, we focus on spin transport in GNRs with rough zigzag edges. Ideal zigzag GNRs are not efficient spin injectors due to the symmetry between the edges with opposite magnetization. In order to obtain net spin injection, this symmetry must be broken. Existing proposals to achieve this require very large transverse electric fields Son06 . We sidestep this difficulty by showing that edge imperfections (such as vacancies), which usually cannot be avoided experimentally, break the symmetry between the edges and lead to a finite spin conductance of the GNR. Thus, rough zigzag GNRs can be used as spin injectors or detectors in graphene spintronics.", null, "Figure 1: (color online) Ground state spin density for (a) an ideal and (b) an imperfect zigzag GNR. Blue (red) corresponds to up (down) spin density. (c) Band structures of an ideal GNR obtained from DFT and tight-binding approaches.\n\nWe start with a description of the electronic ground state properties of the zigzag GNR, which captures the essential physics relevant to spin transport, given by the single band tight-binding Hamiltonian FujitaJPSJ\n\n H=∑ij,stijc†i,scj,s+∑i,s,s′mi⋅c†i,sσs,s′ci,s′. (1)\n\nHere if and are nearest neighbors, if and are next nearest neighbors TBGraphene , and are the Pauli matrices corresponding to the spin degree of freedom. The local magnetization can be obtained from the self consistency condition or ab initio calculations.\n\nOur ab initio results, obtained using the spin-polarized density functional formalism (DFT) Siesta , agree with the reported finding FujitaJPSJ ; Okada ; Son06 that the local magnetization is staggered in the electronic ground state, as shown in Fig. 1(a). At zero doping the antiferromagnetic (AF) ordering generates a gap in the single particle spectrum. We now dope the GNR in order to move into a regime with open conduction channels. This can be achieved in practice by applying a gate voltage or chemical doping. Our DFT results indicate that a finite amount of doping reduces the AF gap and the local magnetization, but does not destroy the AF ordering. We obtain the critical value of this doping as electrons ( holes) per zigzag edge atom. Furthermore, our DFT calculations show that not only perfect, but also rough zigzag ribbons exhibit spin polarization (Fig. 1(b)). In addition, the formation of multiple spin domains at zigzag edges is energetically prohibitive. In summary, our DFT calculations show that it is possible (i) to dope the GNR to make them conductive and (ii) to introduce disorder at the edges while retaining the magnetic ordering.", null, "Figure 2: (color online) Spin injection profile from (a) an ideal GNR and (b) a GNR with a distorted edge into a region of n-doped graphene. Nonequilibrium densities for spin up (down) electrons are shown in blue (red).\n\nNext, we further simplify the mean field description of Eq. (1) by ignoring the variation of within a sublattice. A spatial dependence of changes the amount of band dispersion, modifying the energy window, within which the transport predominantly involves the edge states. This leads to the single particle Hamiltonian\n\n Hmf=ϵ(k)τ1+Δ(k)τ2+A(k)I+m⋅στ3, (2)\n\nwhere , and are obtained by Fourier transforming Eq. (1), and are the Pauli matrices corresponding to pseudospin(sublattice) degrees of freedom Haldane . The AF exchange field is obtained by fitting the band structure to DFT results (see Fig. 1(c)).\n\nIn the following, we focus on transport properties of the GNR. We work in the linear response regime so that all the transport properties of the GNR are specified by the effective single-particle Hamiltonian (2). The spin conductance SCunit of a GNR is given by where is the transmission probability for spin up (down). The conducting channels with energies closest to the Fermi energy of the undoped system reside on a single sublattice and are fully spin polarized owing to the staggered magnetization. These states are extended along the ribbon axis, but localized near the (zigzag) edges, with the spin up channel localized at one edge and the down channel on the opposite edge. The transverse localization length of these states depends on their Fermi momentum that may be modified by shifting the Fermi energy . As one moves away from the point, the transverse localization length increases as , where is the hexagonal lattice constant FujitaJPSJ . Owing to the spatial separation of the edge states, the scattering of spin up and spin down carriers occurs only at the edge, where they reside, and is unaffected by the opposite edge. Distinguishing a left (l) and right (r) edge of the nanoribbon, we approximate by , where is the transmission probability of the corresponding edge state, assuming the opposite edge is not disordered. The transport properties of the zigzag GNR are thus essentially those of two independent wires, oppositely spin polarized and connected in parallel between the reservoirs. We note that previous studies of edge state transport MunozNikolic assumed vanishing next nearest neighbor hopping , and obtained results in apparent contradiction to the picture presented above: If were zero, the charge density would be localized at the edges, but the current density would be extended through the GNR. This leads to the incorrect conclusion that edge states would scatter equally from impurities at both edges. In reality, the edge states show non-zero dispersion (such as due to ). In this case, the current flow is also localized at the edges ourselves validating the two-wire model, as we show below.\n\nFor an ideal, impurity-free GNR, we have , which leads to vanishing spin conductance. This is confirmed by quantum transport simulations recursiveAlgo1 and an illustrative example is shown in Fig. 2(a): Both edge channels transmit equally. However, as the edge states enter the bulk graphene, they are deflected: In the GNR, the pseudospin is predominantly in -direction and tied to the electron spin, whereas in the bulk pseudospin is in-plane and tied to the current direction. At the interface, the -component splits into states with positive and negative velocity perpendicular to the boundary. The state with velocity towards the boundary is scattered ourselves and thus, upon entry, states at opposite edges (which carry opposite spins) deflect in opposite directions, leading to a finite spin Hall conductance (Fig. 2(a)). Finite spin conductance can be obtained, however, for imperfect GNRs: An obstacle scatters the spin channel localized at the same edge more effectively, leading to a non-vanishing spin conductance and spin injection (Fig. 2(b)). Whereas the efficiency of the spin Hall effect is limited by the mean free path, and thus ballistic microstructures are needed to observe it, the efficiency of spin injection with edge defects is limited only by the spin relaxation length and can be used to inject spins into diffusive systems.", null, "Figure 3: Step disorder: edge disorder created by a random walk, where the width of the nanoribbon is changed by one hexagon at every step. Steps are made with probability a/d and the maximum deviation of the width is ≤s hexagons. Single vacancies: edge atoms are removed randomly with the probability a/d. Extended vacancies: similar to single vacancies, but also neighboring edge atoms are removed.\n\nFrom an experimental perspective, unless the GNRs are specifically fabricated with edges of different roughness, the average conductance of both spin channels is equal, quenching the ensemble-averaged spin conductance. Yet, in the mesoscopic regime, sample-to-sample fluctuations of lead to a non-vanishing variance of the spin conductance. In the two-wire model we have\n\n VarGs=(ℏ2e)2VarGtot=(e4π)2(VarTl+VarTr).\n\nTreating both edges as one-dimensional wires, we map the transport problem onto that of a disordered 1D chain. Transmission eigenvalue statistics in 1D disordered chains is known to be described by the Dorokhov-Mello-Pereyra-Kumar (DMPK) equation DMPK . Using the full distribution function of resistance GertsenshteinBeenakkerMelsen , we find that the universal maximum value of the root mean square (rms) spin conductance . In order to demonstrate this universality, we investigate GNRs of different length and width and various models of edge disorder (see Fig. 3).", null, "Figure 4: (color online) Average total conductance, ⟨Gtot⟩ (blue solid line), rms of the total conductance, rmsGtot (black dashed line), and rms of the spin conductance, rmsGs (red solid line), as a function of EF (EF=0 is chosen to correspond to zero gate voltage). The data were averaged over 1000 configurations of single vacancies with d=40a and L=800a. For comparison, the inset shows the same quantities for for the singular case of t′=0. In this situation, the spin conductance and its fluctuations vanish completely.\n\nFirst, we focus on dilute disorder, where the average distance between scatterers . The typical behavior of charge and spin conductances (average, fluctuations) is shown in Fig. 4. We first note that over the whole energy region, where the edge states are present, , confirming the validity of the two-wire model. As the Fermi level is raised by gating or doping, the relevant states are extended and feel both edges. Then, the assumption of uncorrelated channels breaks down, and .\n\nFor an n-type GNR, when the Fermi level is near the band edge, the states at are localized and both the average conductance and the fluctuations are suppressed exponentially. Raising , we observe in Fig. 4 a crossover to the ballistic regime, where the conductance rises up to the quantum limit of conductance . Correspondingly, we see a maximum in the conductance fluctuations before they vanish again in the ballistic regime.\n\nThe average/fluctuations of the conductances of a p-doped GNR are different from an n-doped one, but a description based on the DMPK equation holds well for either case. The scattering strength of impurities depends on the overlap of the impurity potential with the unperturbed channel wavefunction and therefore on . In the n-doped GNR, there is one channel whose momentum is a monotonic function of . On the other hand, in the p-doped GNR, due to the band dispersion (Fig. 1), there are two channels: One localized near the edge, the other extended further into the ribbon, but still with a considerable density at the edge. Lowering thus localizes one state even more towards the edge, whereas the other state spreads out, making the density more uniform. This leads to different functional dependences of the localization length on the Fermi energy for n- and p-doped ribbons.", null, "Figure 5: (color online) Spin conductance fluctuations: (a) rmsGs as a function of ξ/L for n- and p-doped graphene: step disorder for n-type, d=20a, s=3 (black), single vacancies for n- and p-type, d=40a (red and blue, respectively) and extended vacancies for n-type, d=30a (green). Inset: ξ/a as a function of EF for different disorder models (colors as in the main panel). (b) rmsGs as a function of ξ/L for step disorder in n-doped graphene: d=20a and s=3 (red; orange for W=92a/√3 ), d=35a and s=2 (black), d=35a and s=6 (blue; violet for W=92a/√3), d=20a and s=6 (green). Inset: maximum value of rmsGs as a function of d/a for the step disorder models. In both (a) and (b), the solid line corresponds to the DMPK prediction. The data is shown for GNR lengths L=800a (◯), 1000a (□), 1200a (△), 1400a (+), and 1600a (×), width W=32/√3a unless specified otherwise. The rmsGs is estimated from 1000 (W=32a/√3) and 750 (W=92a/√3) disorder configurations.\n\nIn order to compare n- and p-doped ribbons as well as different disorder models, we extract the energy dependence of the longitudinal (transport) localization length from Anderson ; Beenakker , as shown in the inset of Fig. 5(a). In Fig. 5(a) we show as a function of for all three disorder models (see Fig. 3) with different values of and a wide range of ribbon lengths . The data collapse onto a single curve, demonstrating the universality of the spin conductance fluctuations (SCF), independent of the particular type of edge disorder. Slight deviations from this universality can be observed in Fig. 5(a), in the ballistic regime for the special case of single vacancies. In this case, the system reaches the ballistic limit only for high Fermi energy values, where the two-wire model breaks down. The rms spin conductance of the n-doped GNR agrees very well with the results obtained from the DMPK equation. For the p-doped ribbon, where there are two conducting channels, we see a small increase in the rms conductance, presumably due to the crossover to a multi-channel quasi-1D wire, where Beenakker . In Fig. 5(b) we concentrate on n-doped graphene for step disorder (upper panels of Fig. 3) and show again the universality of the SCF with respect to a wide range of parameters characterizing edge roughness, ribbon length and width. There is little dependence on the ribbon width , confirming that the observed effect is entirely due to the edges.\n\nCurrently there is not much experimental control over the edges of nanoribbons. Considering GNRs with dense disorder, , the observed maximum of SCF decreases with increasing disorder density, i.e. decreasing , as shown in the inset of Fig. 5(b). We observe that for the SCF are independent of the maximum height of the steps. Moreover, we find that the maximum value of the SCF is retained for . As an example, the system depicted in the upper right corner of Fig. 3 shows spin conductance . The finite spin conductance of GNRs predicted above, and thus the existence of the edge state magnetism, can be detected by measuring charge conductance, e.g. by attaching ferromagnetic leads in a two- or four-probe measurement similar to Ref. vanWees , with one lead being a zigzag GNR.\n\nIn conclusion, we have discussed the spin transport properties of graphene nanoribbons. We have shown that an ideal GNR has zero spin conductance but nonzero spin Hall conductance. Moreover, only GNRs with imperfect edges exhibit a nonzero spin conductance The fluctuations of the spin conductance are universal with a maximum rms conductance . Thus, graphene nanoribbons can be used as an efficient alternative to ferromagnetic leads, paving the way to all-graphene spintronics devices.\n\nWe thank B.J. van Wees, A. Morpurgo and M. Shiraishi for discussions. I.A., M.W., S.B. and K.R. acknowledge financial support by DFG (SFB689, GRK638) and D.T. by NSF NIRT grant ECS-0506309, NSF NSEC grant EEC-425826 and the A. v. Humboldt Foundation." ]	[ null, "https://media.arxiv-vanity.com/render-output/2844860/x1.png", null, "https://media.arxiv-vanity.com/render-output/2844860/x2.png", null, "https://media.arxiv-vanity.com/render-output/2844860/x4.png", null, "https://media.arxiv-vanity.com/render-output/2844860/x5.png", null, "https://media.arxiv-vanity.com/render-output/2844860/x6.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8796401,"math_prob":0.9517697,"size":16798,"snap":"2020-34-2020-40","text_gpt3_token_len":4226,"char_repetition_ratio":0.13737048,"word_repetition_ratio":0.011965192,"special_character_ratio":0.2493154,"punctuation_ratio":0.18343195,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.97037756,"pos_list":[0,1,2,3,4,5,6,7,8,9,10],"im_url_duplicate_count":[null,1,null,1,null,1,null,1,null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-08-05T19:13:31Z\",\"WARC-Record-ID\":\"<urn:uuid:33994a45-f50f-4a5c-8228-b1e8e6462598>\",\"Content-Length\":\"209950\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:d600f3b8-2059-4610-9d8d-45358ac6b1a9>\",\"WARC-Concurrent-To\":\"<urn:uuid:23420830-4b17-440e-954a-6f86eaa177c9>\",\"WARC-IP-Address\":\"172.67.158.169\",\"WARC-Target-URI\":\"https://www.arxiv-vanity.com/papers/0709.3244/\",\"WARC-Payload-Digest\":\"sha1:UICBPGJKSR7HZNVU5C6EORAYCJXOGVHY\",\"WARC-Block-Digest\":\"sha1:K3K32CU6DSSQUB65QCAODF73IBMJDNHC\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-34/CC-MAIN-2020-34_segments_1596439735964.82_warc_CC-MAIN-20200805183003-20200805213003-00089.warc.gz\"}"}
https://www.bartleby.com/questions-and-answers/a-meter-stick-balances-horizontally-on-a-knifeedge-at-the-50.0-cm-mark.-with-two-5.37-g-coins-stacke/c1d4d7d6-2be2-416b-8f8a-84e2d81d05d8	[ "# A meter stick balances horizontally on a knife-edge at the 50.0 cm mark. With two 5.37 g coins stacked over the 30.0 cm mark, the stick is found to balance at the 46.3 cm mark. What is the mass of the meter stick?\n\nQuestion\n\nA meter stick balances horizontally on a knife-edge at the 50.0 cm mark. With two 5.37 g coins stacked over the 30.0 cm mark, the stick is found to balance at the 46.3 cm mark. What is the mass of the meter stick?\n\ncheck_circle\n\nStep 1\n\nThe meter stick is in equilibrium when the 50.0 cm mark (center of mass) is placed on the knife edge. Two coins of mass 5.37 g are placed at the 30.0 cm mark. Then the new equilibrium position is 46.3 cm.\n\nStep 2\n\nAccording to principle of moments, the net anticlockwise moment about a pivot point is equal to the net clockwise moment about the same point. The moment of force is given by the product of the force and its perpendicular distance from the pivot point.\n\nStep 3\n\nEquate the moments about the new equilibrium position\n\nHere, m1 is the mass of the coins, m2 is the mass of the stick, g is the acceleration due to gravity, r1 is the distance between the new equilibrium...\n\n### Want to see the full answer?\n\nSee Solution\n\n#### Want to see this answer and more?\n\nSolutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.\n\nSee Solution\nResponse times may vary by subject and question.\nTagged in\n\n### Kinematics", null, "" ]	[ null, "https://www.bartleby.com/static/logo.svg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.92289746,"math_prob":0.98863727,"size":2534,"snap":"2019-51-2020-05","text_gpt3_token_len":641,"char_repetition_ratio":0.112252966,"word_repetition_ratio":0.01039501,"special_character_ratio":0.26716653,"punctuation_ratio":0.16833334,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9891784,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-12-10T10:33:23Z\",\"WARC-Record-ID\":\"<urn:uuid:8aec17ee-b33c-4c2c-ba10-69b7f4e272f9>\",\"Content-Length\":\"105946\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:06bc33b3-dddd-45b7-b1d1-025a2eca0cd3>\",\"WARC-Concurrent-To\":\"<urn:uuid:9a8b4790-cc00-4911-bed1-7a40586aed1e>\",\"WARC-IP-Address\":\"99.84.181.117\",\"WARC-Target-URI\":\"https://www.bartleby.com/questions-and-answers/a-meter-stick-balances-horizontally-on-a-knifeedge-at-the-50.0-cm-mark.-with-two-5.37-g-coins-stacke/c1d4d7d6-2be2-416b-8f8a-84e2d81d05d8\",\"WARC-Payload-Digest\":\"sha1:FKNVOW7HL555VFVHIRYWXWJFHLOMH6MT\",\"WARC-Block-Digest\":\"sha1:7E4Z5BYYRYNWSYUDA3G3VWXVFLCVYWVB\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-51/CC-MAIN-2019-51_segments_1575540527205.81_warc_CC-MAIN-20191210095118-20191210123118-00067.warc.gz\"}"}
https://searchfox.org/mozilla-central/source/memory/build/mozmemory_wrap.h	[ "#### Other Tools\n\n```/* -- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -- / ```\n```/ vim: set ts=8 sts=2 et sw=2 tw=80: / ```\n```/ This Source Code Form is subject to the terms of the Mozilla Public ```\n``` * License, v. 2.0. If a copy of the MPL was not distributed with this ```\n``` * file, You can obtain one at http://mozilla.org/MPL/2.0/. / ```\n``` ```\n```#ifndef mozmemory_wrap_h ```\n```#define mozmemory_wrap_h ```\n``` ```\n```// This header contains #defines which tweak the names of various memory ```\n```// allocation functions. ```\n```// ```\n```// There are several types of functions related to memory allocation ```\n```// that are meant to be used publicly by the Gecko codebase: ```\n```// ```\n```// - malloc implementation functions: ```\n```// - malloc ```\n```// - posix_memalign ```\n```// - aligned_alloc ```\n```// - calloc ```\n```// - realloc ```\n```// - free ```\n```// - memalign ```\n```// - valloc ```\n```// - malloc_usable_size ```\n```// - malloc_good_size ```\n```// Some of these functions are specific to some systems, but for ```\n```// convenience, they are treated as being cross-platform, and available ```\n```// as such. ```\n```// ```\n```// - duplication functions: ```\n```// - strndup ```\n```// - strdup ```\n```// - wcsdup (Windows only) ```\n```// ```\n```// - jemalloc specific functions: ```\n```// - jemalloc_stats ```\n```// - jemalloc_stats_num_bins ```\n```// - jemalloc_purge_freed_pages ```\n```// - jemalloc_free_dirty_pages ```\n```// - jemalloc_thread_local_arena ```\n```// - jemalloc_ptr_info ```\n```// (these functions are native to mozjemalloc) ```\n```// ```\n```// These functions are all exported as part of libmozglue (see ```\n```// \\$(topsrcdir)/mozglue/build/Makefile.in), with a few implementation ```\n```// peculiarities: ```\n```// ```\n```// - On Windows, the malloc implementation functions are all prefixed with ```\n```// \"je_\", the duplication functions are prefixed with \"wrap_\", and jemalloc ```\n```// specific functions are left unprefixed. All these functions are however ```\n```// aliased when exporting them, such that the resulting mozglue.dll exports ```\n```// them unprefixed (see \\$(topsrcdir)/mozglue/build/mozglue.def.in). The ```\n```// prefixed malloc implementation and duplication functions are not ```\n```// exported. ```\n```// ```\n```// - On MacOSX, the system libc has a zone allocator, which allows us to ```\n```// hook custom malloc implementation functions without exporting them. ```\n```// However, since we want things in Firefox to skip the system zone ```\n```// allocator, the malloc implementation functions are all exported ```\n```// unprefixed, as well as duplication functions. ```\n```// Jemalloc-specific functions are also left unprefixed. ```\n```// ```\n```// - On Android all functions are left unprefixed. ```\n```// ```\n```// - On other systems (mostly Linux), all functions are left unprefixed. ```\n```// ```\n```// On all platforms, C++ allocation functions are also exported. ```\n```// ```\n```// Proper exporting of the various functions is done with the MOZ_MEMORY_API ```\n```// and MOZ_JEMALLOC_API macros. MOZ_MEMORY_API is meant to be used for malloc ```\n```// implementation and duplication functions, while MOZ_JEMALLOC_API is ```\n```// dedicated to jemalloc specific functions. ```\n```// ```\n```// ```\n```// All these functions are meant to be called with no prefix from Gecko code. ```\n```// In most cases, this is because that's how they are available at runtime. ```\n```// However, on Android, this relies on faulty.lib (the custom dynamic linker) ```\n```// resolving mozglue symbols before libc symbols, which is guaranteed by the ```\n```// way faulty.lib works (it respects the DT_NEEDED order, and libc always ```\n```// appears after mozglue ; which we double check when building anyways) ```\n```// ```\n```// ```\n```// Within libmozglue (when MOZ_MEMORY_IMPL is defined), all the functions ```\n```// should be suffixed with \"_impl\" both for declarations and use. ```\n```// That is, the implementation declaration for e.g. strdup would look like: ```\n```// char strdup_impl(const char *) ```\n```// That implementation would call malloc by using \"malloc_impl\". ```\n``` ```\n```#if defined(MOZ_MEMORY_IMPL) && !defined(IMPL_MFBT) ```\n```# ifdef MFBT_API // mozilla/Types.h was already included ```\n```# error mozmemory_wrap.h has to be included before mozilla/Types.h when MOZ_MEMORY_IMPL is set and IMPL_MFBT is not. ```\n```# endif ```\n```# define IMPL_MFBT ```\n```#endif ```\n``` ```\n```#include \"mozilla/Types.h\" ```\n``` ```\n```#ifndef MOZ_EXTERN_C ```\n```# ifdef __cplusplus ```\n```# define MOZ_EXTERN_C extern \"C\" ```\n```# else ```\n```# define MOZ_EXTERN_C ```\n```# endif ```\n```#endif ```\n``` ```\n```#ifdef MOZ_MEMORY_IMPL ```\n```# define MOZ_JEMALLOC_API MOZ_EXTERN_C MFBT_API ```\n```# if defined(XP_WIN) ```\n```# define mozmem_malloc_impl(a) je_##a ```\n```# else ```\n```# define MOZ_MEMORY_API MOZ_EXTERN_C MFBT_API ```\n```# endif ```\n```#endif ```\n```#ifdef XP_WIN ```\n```# define mozmem_dup_impl(a) wrap_##a ```\n```#endif ```\n``` ```\n```#if !defined(MOZ_MEMORY_IMPL) ```\n```# define MOZ_MEMORY_API MOZ_EXTERN_C MFBT_API ```\n```# define MOZ_JEMALLOC_API MOZ_EXTERN_C MFBT_API ```\n```#endif ```\n``` ```\n```#ifndef MOZ_MEMORY_API ```\n```# define MOZ_MEMORY_API MOZ_EXTERN_C ```\n```#endif ```\n```#ifndef MOZ_JEMALLOC_API ```\n```# define MOZ_JEMALLOC_API MOZ_EXTERN_C ```\n```#endif ```\n``` ```\n```#ifndef mozmem_malloc_impl ```\n```# define mozmem_malloc_impl(a) a ```\n```#endif ```\n```#ifndef mozmem_dup_impl ```\n```# define mozmem_dup_impl(a) a ```\n```#endif ```\n``` ```\n```// Malloc implementation functions ```\n```#define malloc_impl mozmem_malloc_impl(malloc) ```\n```#define posix_memalign_impl mozmem_malloc_impl(posix_memalign) ```\n```#define aligned_alloc_impl mozmem_malloc_impl(aligned_alloc) ```\n```#define calloc_impl mozmem_malloc_impl(calloc) ```\n```#define realloc_impl mozmem_malloc_impl(realloc) ```\n```#define free_impl mozmem_malloc_impl(free) ```\n```#define memalign_impl mozmem_malloc_impl(memalign) ```\n```#define valloc_impl mozmem_malloc_impl(valloc) ```\n```#define malloc_usable_size_impl mozmem_malloc_impl(malloc_usable_size) ```\n```#define malloc_good_size_impl mozmem_malloc_impl(malloc_good_size) ```\n``` ```\n```// Duplication functions ```\n```#define strndup_impl mozmem_dup_impl(strndup) ```\n```#define strdup_impl mozmem_dup_impl(strdup) ```\n```#ifdef XP_WIN ```\n```# define wcsdup_impl mozmem_dup_impl(wcsdup) ```\n```# define _aligned_malloc_impl mozmem_dup_impl(_aligned_malloc) ```\n```#endif ```\n``` ```\n```// String functions ```\n```#ifdef ANDROID ```\n```// Bug 801571 and Bug 879668, libstagefright uses vasprintf, causing malloc()/ ```\n```// free() to be mismatched between bionic and mozglue implementation. ```\n```# define vasprintf_impl mozmem_dup_impl(vasprintf) ```\n```# define asprintf_impl mozmem_dup_impl(asprintf) ```\n```#endif ```\n``` ```\n```#endif // mozmemory_wrap_h ```" ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.61385375,"math_prob":0.88419574,"size":5801,"snap":"2023-40-2023-50","text_gpt3_token_len":1427,"char_repetition_ratio":0.19699845,"word_repetition_ratio":0.02567394,"special_character_ratio":0.2542665,"punctuation_ratio":0.10654686,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98143095,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-11-28T09:13:15Z\",\"WARC-Record-ID\":\"<urn:uuid:8aa4b7fb-d145-4490-b6ec-d6c111b03e5f>\",\"Content-Length\":\"106079\",\"Content-Type\":\"application/http; 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https://www.proprofs.com/quiz-school/story.php?title=mjq5mjy1nqw6jp	[ "# Skill Innovation & Employability Program Quiz\n\n30 Questions \| Total Attempts: 155", null, "", null, "Settings", null, "Create your own Quiz", null, "• 1.\nA 470 resistor and a 0.2 F capacitor are in parallel across a 2.5 kHz ac source. The admittance, Y, in rectangular form, is\n• A.\n\n212\n\n• B.\n\n2.12 mS + j3.14 mS\n\n• C.\n\n3.14 mS + j2.12 mS\n\n• D.\n\n318.3\n\n• 2.\nA positive angle of 30° is equivalent to a negative angle of\n• A.\n\n–30°\n\n• B.\n\n–330°\n\n• C.\n\n–60°\n\n• D.\n\n–180°\n\n• 3.\nIn a series RC circuit, 12 V(rms) is measured across the resistor and 15 V(rms) is measured across the capacitor. The rms source voltage is\n• A.\n\n3 V\n\n• B.\n\n27 V\n\n• C.\n\n19.2 V\n\n• D.\n\n1.9 V\n\n• 4.\nSolve the following equation for the two roots of x: x2 — 16 = 0\n• A.\n\nX = 2i, –2i\n\n• B.\n\nX = 4i, –4i\n\n• C.\n\nX = 4, –4\n\n• D.\n\nX = 2, –2\n\n• 5.\nSolve the following equation for xy, and z: x – y + z = –1 –x + y + z = –1 x + 2y – 2z = 5\n• A.\n\nX = 1, y = 1, z = –1\n\n• B.\n\nX = 5/3, y = 7/6, z = –1/2\n\n• C.\n\nX = –2/3, y = –2/3, z = –1\n\n• D.\n\nX = –1, y = 1, z = 1\n\n• 6.\nAt room temperature the current in an intrinsic semiconductor is due to\n• A.\n\nHoles\n\n• B.\n\nElectrons\n\n• C.\n\nIons\n\n• D.\n\nHoles and electrons\n\n• 7.\nWork function is the maximum energy required by the fastest electron at 0 K to escape from the metal surface.\n• A.\n\nTrue\n\n• B.\n\nFalse\n\n• 8.\nIf the valve clearances are excessively large, the problem that can arise is\n• A.\n\nOverheating of the engine\n\n• B.\n\nIncomplete valve closure\n\n• C.\n\nFouling of spark plug by gasoline\n\n• D.\n\nNone of these\n\n• 9.\nThe brake pedal during ABS operation\n• A.\n\nIs pushed upward forcefully\n\n• B.\n\nPedal stroke becomes longer\n\n• C.\n\nTransmits slight kickback to the driver's foot\n\n• D.\n\nAll of the above\n\n• 10.\nTwo speed reverse gear arrangement is generally provided in case of\n• A.\n\nPassenger cars\n\n• B.\n\n• C.\n\nTractors\n\n• D.\n\nTrucks\n\n• 11.\nOdometer is an instrument used for measurement of\n• A.\n\nPower\n\n• B.\n\nFuel consumption\n\n• C.\n\nEngine r.p.m.\n\n• D.\n\nDistance\n\n• 12.\nA heat treated glass generally used in automobiles bursts into __________ upon cracking,\n• A.\n\nSharp edged fragments\n\n• B.\n\nSmall particles\n\n• 13.\nIn a four wheel drive (4WD), the number of gear boxes are\n• A.\n\n1\n\n• B.\n\n2\n\n• C.\n\n3\n\n• D.\n\n4\n\n• 14.\nHow many cells are used in a 12 volt car battery ?\n• A.\n\n2\n\n• B.\n\n4\n\n• C.\n\n6\n\n• D.\n\n8\n\n• 15.\nAn over-inflated tyre will wear the tread most near the\n• A.\n\nEdges\n\n• B.\n\nCorners\n\n• C.\n\nCentre\n\n• D.\n\nNone of these\n\n• 16.\nF a tyre is designated as 175/65 R14 82 S, then the aspect ratio for the tyre is\n• A.\n\n175\n\n• B.\n\n65\n\n• C.\n\n14\n\n• D.\n\n82\n\n• 17.\nToe-in ensures parallel rolling of the wheel thus stabilizing steering in addition to preventing both sides slipping and excessive tyre wear.\n• A.\n\nTrue\n\n• B.\n\nFalse\n\n• 18.\nThe specific gravity of petrol is about\n• A.\n\n0.75\n\n• B.\n\n0.85\n\n• C.\n\n0.95\n\n• D.\n\n1.25\n\n• 19.\nWhich one of the following statement correctly describe the construction of a bevel-gear type differential?\n• A.\n\nThe drive shafts are splined to the differential carrier.\n\n• B.\n\nThe left side gear and the differential carrier rotate in constant unison.\n\n• C.\n\nThe differential carrier houses differential pinion gears and side gears, each pinion gear meshes with a different side gear.\n\n• D.\n\nThe differential carrier houses differential pinion gears and side gears\n\n• 20.\nThe brake warning light warns the driver of\n• A.\n\nWater in the master cylinder\n\n• B.\n\nAir in the hydraulic system\n\n• C.\n\nFailure of the primary or secondary circuit of hydraulic system\n\n• D.\n\nPower-brake failure\n\n• 21.\nHighest useful compression ratio (HUCR) is the highest compression ratio at which the\n• A.\n\nEngine can run\n\n• B.\n\nEngine gives maximum output\n\n• C.\n\nEngine is most efficient\n\n• D.\n\nFuel can be used in a test engine without knocking\n\n• 22.\nThe formula for Iso-octane is\n• A.\n\nC8H18\n\n• B.\n\nC7H17\n\n• C.\n\nC6H18\n\n• D.\n\nC7H18\n\n• 23.\nThe function of a governor in automobiles is to\n• A.\n\nLimit the power\n\n• B.\n\nLimit the vehicle speed\n\n• C.\n\nMaintain constant engine speed\n\n• D.\n\nMaximise the fuel economy\n\n• 24.\nWhich one of the following statements correctly describes the construction of a planetary gear type differential ?\n• A.\n\nThe six planetary pinions rotate in constant mesh with the internal gears.\n\n• B.\n\nOne drive shaft is splined to the central gear and the other to the planetary gear.\n\n• C.\n\nEach planetary pinion gear meshes with both the central gear and the internal gear.\n\n• D.\n\nThe internal gear is fixed to the planetary gear.\n\n• 25.\nA petrol engine of a car develops 125 N-m torque at 2700 r.p.m. The car is driven in second gear having gear ratio of 1.75. The final drive ratio is 4.11. If the overall transmission efficiency is 90%, then the torque available at the driving wheels is\n• A.\n\n8.091 N-m\n\n• B.\n\n80.91 N-m\n\n• C.\n\n809.1 N-m\n\n• D.\n\n8091 N-m\n\nRelated Topics", null, "Back to top\n×\n\nWait!\nHere's an interesting quiz for you." ]	[ null, "https://www.proprofs.com/quiz-school/images/story_settings_gear.png", null, "https://www.proprofs.com/quiz-school/images/story_settings_gear_color.png", null, "https://www.proprofs.com/quiz-school/loader.gif", null, "https://media.proprofs.com/images/QM/user_images/1826446/1657535779.jpg", null, "https://www.proprofs.com/quiz-school/img/top.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.7390361,"math_prob":0.8860466,"size":3900,"snap":"2022-40-2023-06","text_gpt3_token_len":1194,"char_repetition_ratio":0.18916838,"word_repetition_ratio":0.13449565,"special_character_ratio":0.31871796,"punctuation_ratio":0.18867925,"nsfw_num_words":1,"has_unicode_error":false,"math_prob_llama3":0.9802291,"pos_list":[0,1,2,3,4,5,6,7,8,9,10],"im_url_duplicate_count":[null,null,null,null,null,null,null,1,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-10-03T12:23:52Z\",\"WARC-Record-ID\":\"<urn:uuid:11523786-3848-4359-a163-c39a7c73104b>\",\"Content-Length\":\"298862\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:91b9d6b2-fa3c-42f3-aacc-05156f7b4062>\",\"WARC-Concurrent-To\":\"<urn:uuid:f51e922c-0c7e-467a-ae84-c59bbcb299dd>\",\"WARC-IP-Address\":\"104.26.12.111\",\"WARC-Target-URI\":\"https://www.proprofs.com/quiz-school/story.php?title=mjq5mjy1nqw6jp\",\"WARC-Payload-Digest\":\"sha1:ZITACZXT4LADWVRZQI4CBYPDGMGFQL7R\",\"WARC-Block-Digest\":\"sha1:VXKH3WY5YM7E3EZFVN3VL6RVMGS6UJG6\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-40/CC-MAIN-2022-40_segments_1664030337415.12_warc_CC-MAIN-20221003101805-20221003131805-00430.warc.gz\"}"}
https://jp.mathworks.com/matlabcentral/cody/problems/361-energy-of-a-photon/solutions/1293524	[ "Cody\n\n# Problem 361. Energy of a photon\n\nSolution 1293524\n\nSubmitted on 17 Oct 2017 by Aditya Deshpande\nThis solution is locked. To view this solution, you need to provide a solution of the same size or smaller.\n\n### Test Suite\n\nTest Status Code Input and Output\n1 Pass\nF = 1; E_correct = 3/10^15; assert(photon_energy(F)>E_correct)\n\n2 Pass\nF = 100; E_correct = 500/10^15; assert(photon_energy(F)<E_correct)\n\n3 Pass\nF = 500; E_correct = 2100/10^15; assert(photon_energy(F)<E_correct)" ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.51042885,"math_prob":0.8746358,"size":479,"snap":"2019-51-2020-05","text_gpt3_token_len":153,"char_repetition_ratio":0.15789473,"word_repetition_ratio":0.0,"special_character_ratio":0.36951983,"punctuation_ratio":0.09090909,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.96200126,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-12-10T00:32:43Z\",\"WARC-Record-ID\":\"<urn:uuid:0d3fcef6-3dae-48e6-bebc-e0a8ba9c23ef>\",\"Content-Length\":\"73418\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:ddcfa33c-e590-4919-b0d0-9868c841998c>\",\"WARC-Concurrent-To\":\"<urn:uuid:fc42563d-39cb-4c42-8661-657325ef2c60>\",\"WARC-IP-Address\":\"104.110.193.39\",\"WARC-Target-URI\":\"https://jp.mathworks.com/matlabcentral/cody/problems/361-energy-of-a-photon/solutions/1293524\",\"WARC-Payload-Digest\":\"sha1:3H7UMEDX7V7IB3PXQROA2A3MTC2F5LVV\",\"WARC-Block-Digest\":\"sha1:Q54PF53G4NNF4N2Z64FD24QG5O4XEWVH\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-51/CC-MAIN-2019-51_segments_1575540525598.55_warc_CC-MAIN-20191209225803-20191210013803-00046.warc.gz\"}"}
https://isabelle.in.tum.de/repos/isabelle/rev/a5ee3b8e5a90?revcount=1	[ "author blanchet Wed, 15 Dec 2010 11:26:28 +0100 changeset 41145 a5ee3b8e5a90 parent 41144 509e51b7509a child 41146 be78f4053bce\nimprove partially tagged encoding by adding a helper fact that coalesces consecutive \"ti\" tags\n```--- a/src/HOL/Metis_Examples/HO_Reas.thy\tWed Dec 15 11:26:28 2010 +0100\n+++ b/src/HOL/Metis_Examples/HO_Reas.thy\tWed Dec 15 11:26:28 2010 +0100\n@@ -12,67 +12,98 @@\n\nlemma \"id True\"\nsledgehammer [expect = some] (id_apply)\n+sledgehammer [type_sys = tags, expect = some] (id_apply)\n+sledgehammer [full_types, type_sys = tags, expect = some] (id_apply)\nby (metis id_apply)\n\nlemma \"\\<not> id False\"\nsledgehammer [expect = some] (id_apply)\n+sledgehammer [type_sys = tags, expect = some] (id_apply)\n+sledgehammer [full_types, type_sys = tags, expect = some] (id_apply)\nby (metis id_apply)\n\nlemma \"x = id True \\<or> x = id False\"\nsledgehammer [expect = some] (id_apply)\n+sledgehammer [type_sys = tags, expect = some] (id_apply)\n+sledgehammer [full_types, type_sys = tags, expect = some] (id_apply)\nby (metis id_apply)\n\nlemma \"id x = id True \\<or> id x = id False\"\nsledgehammer [expect = some] (id_apply)\n+sledgehammer [type_sys = tags, expect = some] (id_apply)\n+sledgehammer [full_types, type_sys = tags, expect = some] (id_apply)\nby (metis id_apply)\n\nlemma \"P True \\<Longrightarrow> P False \\<Longrightarrow> P x\"\nsledgehammer [expect = none] ()\n-sledgehammer [full_types, expect = some] ()\n+sledgehammer [type_sys = tags, expect = some] ()\n+sledgehammer [full_types, type_sys = tags, expect = some] ()\nby metisFT\n\nlemma \"id (\\<not> a) \\<Longrightarrow> \\<not> id a\"\nsledgehammer [expect = some] (id_apply)\n+sledgehammer [type_sys = tags, expect = some] (id_apply)\n+sledgehammer [full_types, type_sys = tags, expect = some] (id_apply)\nby (metis id_apply)\n\nlemma \"id (\\<not> \\<not> a) \\<Longrightarrow> id a\"\nsledgehammer [expect = some] ()\n+sledgehammer [type_sys = tags, expect = some] ()\n+sledgehammer [full_types, type_sys = tags, expect = some] ()\nby metis\n\nlemma \"id (\\<not> (id (\\<not> a))) \\<Longrightarrow> id a\"\nsledgehammer [expect = some] (id_apply)\n+sledgehammer [type_sys = tags, expect = some] (id_apply)\n+sledgehammer [full_types, type_sys = tags, expect = some] (id_apply)\nby (metis id_apply)\n\nlemma \"id (a \\<and> b) \\<Longrightarrow> id a\"\nsledgehammer [expect = some] (id_apply)\n+sledgehammer [type_sys = tags, expect = some] (id_apply)\n+sledgehammer [full_types, type_sys = tags, expect = some] (id_apply)\nby (metis id_apply)\n\nlemma \"id (a \\<and> b) \\<Longrightarrow> id b\"\nsledgehammer [expect = some] (id_apply)\n+sledgehammer [type_sys = tags, expect = some] (id_apply)\n+sledgehammer [full_types, type_sys = tags, expect = some] (id_apply)\nby (metis id_apply)\n\nlemma \"id a \\<Longrightarrow> id b \\<Longrightarrow> id (a \\<and> b)\"\nsledgehammer [expect = some] (id_apply)\n+sledgehammer [type_sys = tags, expect = some] (id_apply)\n+sledgehammer [full_types, type_sys = tags, expect = some] (id_apply)\nby (metis id_apply)\n\nlemma \"id a \\<Longrightarrow> id (a \\<or> b)\"\nsledgehammer [expect = some] (id_apply)\n+sledgehammer [type_sys = tags, expect = some] (id_apply)\n+sledgehammer [full_types, type_sys = tags, expect = some] (id_apply)\nby (metis id_apply)\n\nlemma \"id b \\<Longrightarrow> id (a \\<or> b)\"\nsledgehammer [expect = some] (id_apply)\n+sledgehammer [type_sys = tags, expect = some] (id_apply)\n+sledgehammer [full_types, type_sys = tags, expect = some] (id_apply)\nby (metis id_apply)\n\nlemma \"id (\\<not> a) \\<Longrightarrow> id (\\<not> b) \\<Longrightarrow> id (\\<not> (a \\<or> b))\"\nsledgehammer [expect = some] (id_apply)\n+sledgehammer [type_sys = tags, expect = some] (id_apply)\n+sledgehammer [full_types, type_sys = tags, expect = some] (id_apply)\nby (metis id_apply)\n\nlemma \"id (\\<not> a) \\<Longrightarrow> id (a \\<longrightarrow> b)\"\nsledgehammer [expect = some] (id_apply)\n+sledgehammer [type_sys = tags, expect = some] (id_apply)\n+sledgehammer [full_types, type_sys = tags, expect = some] (id_apply)\nby (metis id_apply)\n\nlemma \"id (a \\<longrightarrow> b) \\<longleftrightarrow> id (\\<not> a \\<or> b)\"\nsledgehammer [expect = some] (id_apply)\n+sledgehammer [type_sys = tags, expect = some] (id_apply)\n+sledgehammer [full_types, type_sys = tags, expect = some] (id_apply)\nby (metis id_apply)\n\nend```\n```--- a/src/HOL/Tools/Sledgehammer/sledgehammer_atp_translate.ML\tWed Dec 15 11:26:28 2010 +0100\n+++ b/src/HOL/Tools/Sledgehammer/sledgehammer_atp_translate.ML\tWed Dec 15 11:26:28 2010 +0100\n@@ -95,6 +95,20 @@\n\| mk_ahorn (phi :: phis) psi =\nAConn (AImplies, [fold (mk_aconn AAnd) phis phi, psi])\n\n+fun close_universally phi =\n+ let\n+ fun term_vars bounds (ATerm (name as (s, _), tms)) =\n+ (is_atp_variable s andalso not (member (op =) bounds name))\n+ ? insert (op =) name\n+ #> fold (term_vars bounds) tms\n+ fun formula_vars bounds (AQuant (_, xs, phi)) =\n+ formula_vars (xs @ bounds) phi\n+ \| formula_vars bounds (AConn (_, phis)) = fold (formula_vars bounds) phis\n+ \| formula_vars bounds (AAtom tm) = term_vars bounds tm\n+ in\n+ case formula_vars [] phi [] of [] => phi \| xs => AQuant (AForall, xs, phi)\n+ end\n+\nfun combformula_for_prop thy eq_as_iff =\nlet\nfun do_term bs t ts =\n@@ -264,7 +278,7 @@\nmetis_helpers \|> map fst \|> sort_distinct string_ord \|> map (rpair 0)\n\|> Symtab.make\n\n-fun get_helper_facts ctxt type_sys formulas =\n+fun get_helper_facts ctxt explicit_forall type_sys formulas =\nlet\nval no_dangerous_types = types_dangerous_types type_sys\nval ct = init_counters \|> fold count_formula formulas\n@@ -274,15 +288,26 @@\nfalse), th)\nfun make_facts eq_as_iff = map_filter (make_fact ctxt eq_as_iff false)\nin\n- metis_helpers\n- \|> filter (is_used o fst)\n- \|> maps (fn (c, (needs_full_types, ths)) =>\n- if needs_full_types andalso not no_dangerous_types then\n- []\n- else\n- ths ~~ (1 upto length ths)\n- \|> map (dub c needs_full_types)\n- \|> make_facts (not needs_full_types))\n+ (metis_helpers\n+ \|> filter (is_used o fst)\n+ \|> maps (fn (c, (needs_full_types, ths)) =>\n+ if needs_full_types andalso not no_dangerous_types then\n+ []\n+ else\n+ ths ~~ (1 upto length ths)\n+ \|> map (dub c needs_full_types)\n+ \|> make_facts (not needs_full_types)),\n+ if type_sys = Tags false then\n+ let\n+ fun var s = ATerm (`I s, [])\n+ fun tag tm = ATerm (`I type_tag_name, [var \"X\", tm])\n+ in\n+ [Fof (helper_prefix ^ ascii_of \"ti_ti\", Axiom,\n+ AAtom (ATerm (`I \"equal\", [tag (tag (var \"Y\")), tag (var \"Y\")]))\n+ \|> explicit_forall ? close_universally)]\n+ end\n+ else\n+ [])\nend\n\nfun translate_atp_fact ctxt = `(make_fact ctxt true true)\n@@ -571,20 +596,6 @@\nelse\nt \|> not (is_predicate pred_const_tab s) ? boolify\n\n-fun close_universally phi =\n- let\n- fun term_vars bounds (ATerm (name as (s, _), tms)) =\n- (is_atp_variable s andalso not (member (op =) bounds name))\n- ? insert (op =) name\n- #> fold (term_vars bounds) tms\n- fun formula_vars bounds (AQuant (_, xs, phi)) =\n- formula_vars (xs @ bounds) phi\n- \| formula_vars bounds (AConn (_, phis)) = fold (formula_vars bounds) phis\n- \| formula_vars bounds (AAtom tm) = term_vars bounds tm\n- in\n- case formula_vars [] phi [] of [] => phi \| xs => AQuant (AForall, xs, phi)\n- end\n-\nfun repair_formula thy explicit_forall type_sys const_tab =\nlet\nval pred_const_tab = case type_sys of Tags _ => NONE \| _ => const_tab\n@@ -627,12 +638,14 @@\nval const_tab = const_table_for_problem explicit_apply problem\nval problem =\nproblem \|> repair_problem thy explicit_forall type_sys const_tab\n- val helper_facts =\n- get_helper_facts ctxt type_sys (maps (map (#3 o dest_Fof) o snd) problem)\n+ val (helper_facts, raw_helper_lines) =\n+ get_helper_facts ctxt explicit_forall type_sys\n+ (maps (map (#3 o dest_Fof) o snd) problem)\nval helper_lines =\n- helper_facts\n- \|> map (problem_line_for_fact ctxt helper_prefix type_sys\n- #> repair_problem_line thy explicit_forall type_sys const_tab)\n+ (helper_facts\n+ \|> map (problem_line_for_fact ctxt helper_prefix type_sys\n+ #> repair_problem_line thy explicit_forall type_sys const_tab)) @\n+ raw_helper_lines\nval (problem, pool) =\nproblem \|> AList.update (op =) (\"Helper facts\", helper_lines)" ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.5032502,"math_prob":0.98035324,"size":7865,"snap":"2023-14-2023-23","text_gpt3_token_len":2396,"char_repetition_ratio":0.27439258,"word_repetition_ratio":0.45893312,"special_character_ratio":0.33986014,"punctuation_ratio":0.10550887,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99220705,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-06-09T08:50:57Z\",\"WARC-Record-ID\":\"<urn:uuid:b9ec6fec-ca34-4aae-9870-1e49b8e850ca>\",\"Content-Length\":\"26350\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:6f5f77e7-370e-4410-ad82-55c27b4b35b3>\",\"WARC-Concurrent-To\":\"<urn:uuid:262f7e0c-9131-4935-a034-9b15c999ef63>\",\"WARC-IP-Address\":\"131.159.46.82\",\"WARC-Target-URI\":\"https://isabelle.in.tum.de/repos/isabelle/rev/a5ee3b8e5a90?revcount=1\",\"WARC-Payload-Digest\":\"sha1:D7NKRFQIB2JVFPZ7QMAURPCPB7JY7AX6\",\"WARC-Block-Digest\":\"sha1:HB54EH3Y3SYNMKVXXJEMV235AGXAKL2K\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-23/CC-MAIN-2023-23_segments_1685224655446.86_warc_CC-MAIN-20230609064417-20230609094417-00512.warc.gz\"}"}
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Balancing an equation for a reaction ensures that the number of each balancing chemical equations homework help type of atom is _____ balance each of the following chemical equations;" ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.9046065,"math_prob":0.93584067,"size":16792,"snap":"2020-24-2020-29","text_gpt3_token_len":3067,"char_repetition_ratio":0.2730522,"word_repetition_ratio":0.03732504,"special_character_ratio":0.17960934,"punctuation_ratio":0.07799853,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99399936,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-07-14T15:26:38Z\",\"WARC-Record-ID\":\"<urn:uuid:cb3e1323-4c61-4728-a8fd-1482905456f6>\",\"Content-Length\":\"21041\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:76ab1d74-e783-43d3-a9c9-16afef5285ed>\",\"WARC-Concurrent-To\":\"<urn:uuid:dfdcb7bb-3e55-4224-bda7-f4c643a0ed90>\",\"WARC-IP-Address\":\"67.222.7.185\",\"WARC-Target-URI\":\"http://inspirebee.com/glacier.php?balancing-chemical-equations-homework-help\",\"WARC-Payload-Digest\":\"sha1:O5SION3JTNYMGSA6ODVPA42AACRHOKE6\",\"WARC-Block-Digest\":\"sha1:KJ7QPWEMQN5HQW32V62KFWCAOHXJKRBZ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-29/CC-MAIN-2020-29_segments_1593655897168.4_warc_CC-MAIN-20200714145953-20200714175953-00578.warc.gz\"}"}
https://eccc.weizmann.ac.il/report/2018/156/	[ "", null, "", null, "Under the auspices of the Computational Complexity Foundation (CCF)", null, "", null, "", null, "", null, "", null, "REPORTS > DETAIL:\n\n### Revision(s):\n\nRevision #2 to TR18-156 \| 7th October 2021 19:03\n\n#### Quantum algorithms and approximating polynomials for composed functions with shared inputs", null, "Revision #2\nAuthors: Mark Bun, Robin Kothari, Justin Thaler\nAccepted on: 7th October 2021 19:03\nKeywords:\n\nAbstract:\n\nWe give new quantum algorithms for evaluating composed functions whose inputs may be shared between bottom-level gates. Let $f$ be a Boolean function and consider a function $F$ obtained by applying $f$ to conjunctions of possibly overlapping subsets of $n$ variables. If $f$ has quantum query complexity $Q(f)$, we give an algorithm for evaluating $F$ using $\\tilde{O}(\\sqrt{Q(f) \\cdot n})$ quantum queries. This improves on the bound of $O(Q(f) \\cdot \\sqrt{n})$ that follows by treating each conjunction independently and is tight for worst-case choices of $f$. Using completely different techniques, we prove a similar tight composition theorem for the approximate degree of $f$.\n\nBy recursively applying our composition theorems, we obtain a nearly optimal $\\tilde{O}(n^{1-2^{-d}})$ upper bound on the quantum query complexity and approximate degree of linear-size depth-$d$ AC$^0$ circuits. As a consequence, such circuits can be PAC learned in subexponential time, even in the challenging agnostic setting. Prior to our work, a subexponential-time algorithm was not known even for linear-size depth-3 AC$^0$ circuits. We also show that any substantially faster learning algorithm will require fundamentally new techniques.\n\nAs an additional consequence, we show that AC0 circuits of depth $d+1$ require size $\\tilde{\\Omega}(n^{1/(1?2^{-d})})=\\Omega(n^{1+2^{-d}})$ to compute the Inner Product function even on average. The previous best size lower bound was $\\Omega(n^{1+4^{-(d+1)}})$ and only held in the worst case (Cheraghchi et al., JCSS 2018).\n\nChanges to previous version:\n\nMinor changes. This version appears in Quantum.\n\nRevision #1 to TR18-156 \| 30th March 2020 00:41\n\n#### Quantum algorithms and approximating polynomials for composed functions with shared inputs\n\nRevision #1\nAuthors: Mark Bun, Robin Kothari, Justin Thaler\nAccepted on: 30th March 2020 00:41\nKeywords:\n\nAbstract:\n\nWe give new quantum algorithms for evaluating composed functions whose inputs may be shared between bottom-level gates. Let $f$ be a Boolean function and consider a function $F$ obtained by applying $f$ to conjunctions of possibly overlapping subsets of $n$ variables. If $f$ has quantum query complexity $Q(f)$, we give an algorithm for evaluating $F$ using $\\tilde{O}(\\sqrt{Q(f) \\cdot n})$ quantum queries. This improves on the bound of $O(Q(f) \\cdot \\sqrt{n})$ that follows by treating each conjunction independently, and is tight for worst-case choices of $f$. Using completely different techniques, we prove a similar tight composition theorem for the approximate degree of $f$.\n\nBy recursively applying our composition theorems, we obtain a nearly optimal $\\tilde{O}(n^{1-2^{-d}})$ upper bound on the quantum query complexity and approximate degree of linear-size depth-$d$ AC$^0$ circuits. As a consequence, such circuits can be PAC learned in subexponential time, even in the challenging agnostic setting. Prior to our work, a subexponential-time algorithm was not known even for linear-size depth-3 AC$^0$ circuits.\n\nAs an additional consequence, we show that AC$^0 \\circ \\oplus$ circuits of depth $d+1$ require size $\\tilde{\\Omega}(n^{1/(1- 2^{-d})}) \\geq \\omega(n^{1+ 2^{-d}} )$ to compute the Inner Product function\neven on average. The previous best size lower bound was $\\Omega(n^{1+4^{-(d+1)}})$ and only held in the worst case (Cheraghchi et al., JCSS 2018).\n\nChanges to previous version:\n\nAdded circuit lower bound for AC$^0 \\circ \\oplus$ circuits as a corollary of the quantum algorithm for circuit evaluation.\n\n### Paper:\n\nTR18-156 \| 8th September 2018 20:41\n\n#### Quantum algorithms and approximating polynomials for composed functions with shared inputs\n\nTR18-156\nAuthors: Mark Bun, Robin Kothari, Justin Thaler\nPublication: 9th September 2018 16:58\nWe give new quantum algorithms for evaluating composed functions whose inputs may be shared between bottom-level gates. Let $f$ be a Boolean function and consider a function $F$ obtained by applying $f$ to conjunctions of possibly overlapping subsets of $n$ variables. If $f$ has quantum query complexity $Q(f)$, we give an algorithm for evaluating $F$ using $\\tilde{O}(\\sqrt{Q(f) \\cdot n})$ quantum queries. This improves on the bound of $O(Q(f) \\cdot \\sqrt{n})$ that follows by treating each conjunction independently, and is tight for worst-case choices of $f$. Using completely different techniques, we prove a similar tight composition theorem for the approximate degree of $f$.\nBy recursively applying our composition theorems, we obtain a nearly optimal $\\tilde{O}(n^{1-2^{-d}})$ upper bound on the quantum query complexity and approximate degree of linear-size depth-$d$ AC$^0$ circuits. As a consequence, such circuits can be PAC learned in subexponential time, even in the challenging agnostic setting. Prior to our work, a subexponential-time algorithm was not known even for linear-size depth-3 AC$^0$ circuits. We also show that any substantially faster learning algorithm will require fundamentally new techniques." ]	[ null, "https://eccc.weizmann.ac.il/resources/gf/logoNew.png", null, "https://eccc.weizmann.ac.il/resources/gf/subtitle.png", null, "https://eccc.weizmann.ac.il/resources/txt2img/6477d27f5652481c8709ce20804beef47000ddfacb628eb8f3e1424aa319da92d9706a1b9969c3beea6d0d0579f8c3574dfe71145b9a63e0f4cc7e59723f9d59-000000-13.png", null, "https://eccc.weizmann.ac.il/resources/txt2img/734cc234b69ec76be631e268baeba4246056bc255901fd92951a0836428e49f37084bbbfa3c4e253e31cc4d576b67f6cd530e1bb77f0ecc98955de6ba9eb86c4-000000-13.png", null, "https://eccc.weizmann.ac.il/resources/txt2img/112d9535943722a86180ae44a5a638b4f2c8b88f2b35a2161475927f703e4959e03e1c231f19ff9bb2aff902b0183e2db60085b49f5c3b501624b17f86a1b036-000000-13.png", null, "https://eccc.weizmann.ac.il/resources/txt2img/734cc234b69ec76be631e268baeba4246056bc255901fd92951a0836428e49f37084bbbfa3c4e253e31cc4d576b67f6cd530e1bb77f0ecc98955de6ba9eb86c4-000000-13.png", null, "https://eccc.weizmann.ac.il/resources/txt2img/94b19a5a52ca45c018ed1cb67a8f8a31a33b54a97551ad8a99f802714d157423de95da10ff4cd42551e3995e26f1c3c4c437b5c95fd23fd10cb8195fe86f48f1-000000-13.png", null, "https://eccc.weizmann.ac.il/resources/gf/rss.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.8643747,"math_prob":0.9975627,"size":4493,"snap":"2023-40-2023-50","text_gpt3_token_len":1072,"char_repetition_ratio":0.10581421,"word_repetition_ratio":0.87091756,"special_character_ratio":0.2412642,"punctuation_ratio":0.07453416,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9988527,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16],"im_url_duplicate_count":[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-24T03:27:28Z\",\"WARC-Record-ID\":\"<urn:uuid:733a66b2-1fed-4a0f-926f-63c7ec56da7e>\",\"Content-Length\":\"27349\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:49672811-4c28-4f19-90c0-9e280627e0c8>\",\"WARC-Concurrent-To\":\"<urn:uuid:3f0a93fd-d716-46ac-92da-68fe899a6285>\",\"WARC-IP-Address\":\"132.77.150.87\",\"WARC-Target-URI\":\"https://eccc.weizmann.ac.il/report/2018/156/\",\"WARC-Payload-Digest\":\"sha1:VAOBDLKDX44ZZYGWWVDY4J7Q2V4EA3XR\",\"WARC-Block-Digest\":\"sha1:2GHLAPDGCV27D6HPNBWIKOWOBC4SESJ5\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233506559.11_warc_CC-MAIN-20230924023050-20230924053050-00727.warc.gz\"}"}
https://help.scilab.org/docs/6.0.0/ru_RU/gainplot.html	[ "Scilab Home page \| Wiki \| Bug tracker \| Forge \| Mailing list archives \| ATOMS \| File exchange\nChange language to: English - Français - Português - 日本語 -\n\nSee the recommended documentation of this function\n\nСправка Scilab >> CACSD > Linear Analysis > Frequency Domain > gainplot\n\n# gainplot\n\nmagnitude plot\n\n### Syntax\n\ngainplot(sl,fmin,fmax [,step] [,comments] )\ngainplot(frq, repf [,comments])\n\n### Arguments\n\nsl\n\nlist (syslin SIMO linear system).\n\nfmin,fmax\n\nreal scalars (frequency interval).\n\nstep\n\nreal (discretization step (logarithmic scale))\n\nstring\n\nfrq\n\nmatrix (row by row frequencies)\n\ndb,phi\n\nmatrices (magnitudes and phases corresponding to frq)\n\nrepf\n\ncomplex matrix. One row for each frequency response.\n\n### Description\n\nSame as bode but plots only the magnitude.\n\n### Examples\n\ns=poly(0,'s')\nh1=syslin('c',(s^2+20.910s+100)/(s^2+20.310.1s+102.01))\nh2=syslin('c',(s^2+20.115.1s+228.01)/(s^2+20.915s+225))\nclf();gainplot([h1;h2],0.01,100,..\n[\"$\\frac{s^2+18 s+100}{s^2+6.06 s+102.1}$\";\n\"$\\frac{s^2+3.02 s+228.01}{s^2+27 s+225}$\"])\ntitle('Gainplot')", null, "• bode — Bode plot\n• black — Black-Nichols diagram of a linear dynamical system\n• nyquist — nyquist plot\n• repfreq — frequency response\n• g_margin — gain margin and associated crossover frequency\n• datatips — Tool for placing and editing tips along the plotted curves." ]	[ null, "https://help.scilab.org/docs/6.0.0/ru_RU/gainplot_ru_RU_1.png", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.6103843,"math_prob":0.94196063,"size":736,"snap":"2019-51-2020-05","text_gpt3_token_len":203,"char_repetition_ratio":0.1284153,"word_repetition_ratio":0.0,"special_character_ratio":0.22826087,"punctuation_ratio":0.17777778,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9970652,"pos_list":[0,1,2],"im_url_duplicate_count":[null,2,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-12-12T09:19:13Z\",\"WARC-Record-ID\":\"<urn:uuid:26cd8b7a-58cf-49f3-b354-5452a7ea820c>\",\"Content-Length\":\"29237\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:406b4644-b9d2-4f49-8cdd-a1076d08f53e>\",\"WARC-Concurrent-To\":\"<urn:uuid:95bfa4c7-7650-4ab0-88bb-23533754d9bf>\",\"WARC-IP-Address\":\"176.9.3.186\",\"WARC-Target-URI\":\"https://help.scilab.org/docs/6.0.0/ru_RU/gainplot.html\",\"WARC-Payload-Digest\":\"sha1:YK2FKQBRV2VD2FWXVMC2GFKTLD4FCYMF\",\"WARC-Block-Digest\":\"sha1:LR3O63OBP5CA66XK3X73XTFNJ2GZZSED\",\"WARC-Identified-Payload-Type\":\"application/xhtml+xml\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-51/CC-MAIN-2019-51_segments_1575540542644.69_warc_CC-MAIN-20191212074623-20191212102623-00168.warc.gz\"}"}
https://commons.apache.org/proper/commons-math/javadocs/api-3.6.1/org/apache/commons/math3/optimization/BaseMultivariateVectorOptimizer.html	[ "org.apache.commons.math3.optimization\n\n## Interface BaseMultivariateVectorOptimizer<FUNC extends MultivariateVectorFunction>\n\n• ### Method Summary\n\nMethods\nModifier and Type Method and Description\nPointVectorValuePair optimize(int maxEval, FUNC f, double[] target, double[] weight, double[] startPoint)\nDeprecated.\nAs of 3.1. In 4.0, this will be replaced by the declaration corresponding to this method.\n• ### Methods inherited from interface org.apache.commons.math3.optimization.BaseOptimizer\n\ngetConvergenceChecker, getEvaluations, getMaxEvaluations\n• ### Method Detail\n\n• #### optimize\n\n@Deprecated\nPointVectorValuePair optimize(int maxEval,\nFUNC f,\ndouble[] target,\ndouble[] weight,\ndouble[] startPoint)\nDeprecated. As of 3.1. In 4.0, this will be replaced by the declaration corresponding to this method.\nOptimize an objective function. Optimization is considered to be a weighted least-squares minimization. The cost function to be minimized is ∑weighti(objectivei - targeti)2\nParameters:\nf - Objective function.\ntarget - Target value for the objective functions at optimum.\nweight - Weights for the least squares cost computation.\nstartPoint - Start point for optimization.\nmaxEval - Maximum number of function evaluations.\nReturns:\nthe point/value pair giving the optimal value for objective function.\nThrows:\nDimensionMismatchException - if the start point dimension is wrong.\nTooManyEvaluationsException - if the maximal number of evaluations is exceeded.\nNullArgumentException - if any argument is null." ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.55883515,"math_prob":0.9450864,"size":1178,"snap":"2022-40-2023-06","text_gpt3_token_len":254,"char_repetition_ratio":0.1294719,"word_repetition_ratio":0.08510638,"special_character_ratio":0.1910017,"punctuation_ratio":0.16568047,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9559317,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-09-24T17:06:00Z\",\"WARC-Record-ID\":\"<urn:uuid:e2dfc848-7dc4-4f6d-92bf-d71e0390c516>\",\"Content-Length\":\"16985\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:33c62f73-3e91-4688-aca2-f3062653ecea>\",\"WARC-Concurrent-To\":\"<urn:uuid:6752910a-c672-47e6-961b-dc45be84639d>\",\"WARC-IP-Address\":\"151.101.2.132\",\"WARC-Target-URI\":\"https://commons.apache.org/proper/commons-math/javadocs/api-3.6.1/org/apache/commons/math3/optimization/BaseMultivariateVectorOptimizer.html\",\"WARC-Payload-Digest\":\"sha1:GBNJ2X7VXRBCHNMTR4HMBP6QKAEUCS32\",\"WARC-Block-Digest\":\"sha1:ZSRMMG5TEDRGDLNXF3SATV7UN77KGVSK\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-40/CC-MAIN-2022-40_segments_1664030331677.90_warc_CC-MAIN-20220924151538-20220924181538-00270.warc.gz\"}"}
https://oeis.org/A098033	[ "The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.", null, "Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)\n A098033 Parity of p(p+1)/2 for n-th prime p. 1\n 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0 (list; graph; refs; listen; history; text; internal format)\n OFFSET 1,1 COMMENTS The following sequences (possibly with a different offset for first term) all appear to have the same parity: A034953 = triangular numbers with prime indices; A054269 = length of period of continued fraction for sqrt(p), p prime; A082749 = difference between the sum of next prime(n) natural numbers and the sum of next n primes; A006254 = numbers n such that 2n-1 is prime; A067076 = numbers n such that 2n+3 is a prime. Analogous to the prime race (mod 3). - Robert G. Wilson v, Sep 17 2004 See also A089253 = 2n-5 is a prime. For n>1, if A000040(n) == 1 (mod 4), then a(n) = 1, otherwise a(n)=0, so (for n>1) also a(n) = number of representations of A000040(n) as a difference of hexagonal numbers (A000384) (cf. [Nyblom, p. 262]). - L. Edson Jeffery, Feb 16 2013 LINKS M. A. Nyblom, On the representation of the integers as a difference of nonconsecutive triangular numbers, Fibonacci Quarterly 39:3 (2001), pp. 256-263. FORMULA a(n) = parity of (p(p+1)/2) for n-th prime p(n) a(n) = (p(n) mod 4) mod 3, n>1 for n-th prime p(n). - Gary Detlefs, Oct 27 2011 EXAMPLE a(1) = parity of (2(2+1)/2 = 3) = 1 (odd). MAPLE seq((ithprime(n) mod 4)mod 3, n= 2..105] # Gary Detlefs, Oct 27 2011 MATHEMATICA Table[ Mod[ Prime[n](Prime[n] + 1)/2, 2], {n, 105}] (* Robert G. Wilson v, Sep 17 2004 ) Mod[(#(#+1))/2, 2]&/@Prime[Range] ( Harvey P. Dale, Mar 29 2015 ) PROG (PARI) a(n)=prime(n)%4<3 \\\\ Charles R Greathouse IV, Oct 27 2011 CROSSREFS Cf. A034953, A054269, A082749, A006254, A067076. equal to 1 minus A100672. - Steven G. Johnson (stevenj(AT)math.mit.edu), Sep 18 2008 Sequence in context: A295892 A120522 A157423 A284471 A135022 A286726 Adjacent sequences: A098030 A098031 A098032 * A098034 A098035 A098036 KEYWORD easy,nonn AUTHOR Jeremy Gardiner, Sep 10 2004 EXTENSIONS More terms from Robert G. Wilson v, Sep 17 2004 STATUS approved\n\nLookup \| Welcome \| Wiki \| Register \| Music \| Plot 2 \| Demos \| Index \| Browse \| More \| WebCam\nContribute new seq. or comment \| Format \| Style Sheet \| Transforms \| Superseeker \| Recent\nThe OEIS Community \| Maintained by The OEIS Foundation Inc.\n\nLast modified September 28 17:43 EDT 2020. Contains 337393 sequences. (Running on oeis4.)" ]	[ null, "https://oeis.org/banner2021.jpg", null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.56045854,"math_prob":0.9972068,"size":2423,"snap":"2020-34-2020-40","text_gpt3_token_len":1093,"char_repetition_ratio":0.20421661,"word_repetition_ratio":0.23279352,"special_character_ratio":0.5340487,"punctuation_ratio":0.27203646,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9784034,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-09-28T22:48:53Z\",\"WARC-Record-ID\":\"<urn:uuid:9ec8148d-2ed7-4d70-9733-c34b291c7353>\",\"Content-Length\":\"20045\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:950bb52b-cb12-43cd-9dd4-9dab80398e48>\",\"WARC-Concurrent-To\":\"<urn:uuid:a257ee8e-1a6e-42da-8a24-537b41fdd2aa>\",\"WARC-IP-Address\":\"104.239.138.29\",\"WARC-Target-URI\":\"https://oeis.org/A098033\",\"WARC-Payload-Digest\":\"sha1:NHFC5TDYBPKGFYFPDCQ4E6544APN6TOJ\",\"WARC-Block-Digest\":\"sha1:LGMRVLINC3PXUBXFGFTHAJJEH4COBM2P\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-40/CC-MAIN-2020-40_segments_1600401614309.85_warc_CC-MAIN-20200928202758-20200928232758-00025.warc.gz\"}"}
https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/Matrix/Invertible.html	[ "# Documentation\n\nMathlib.Data.Matrix.Invertible\n\n# Extra lemmas about invertible matrices #\n\nA few of the Invertible lemmas generalize to multiplication of rectangular matrices.\n\nFor lemmas about the matrix inverse in terms of the determinant and adjugate, see Matrix.inv in LinearAlgebra/Matrix/NonsingularInverse.lean.\n\n## Main results #\n\n• Matrix.invertibleConjTranspose\n• Matrix.invertibleTranspose\n• Matrix.isUnit_conjTranpose\n• Matrix.isUnit_tranpose\ntheorem Matrix.invOf_mul_self_assoc {m : Type u_1} {n : Type u_2} {α : Type u_3} [] [] [] (A : Matrix n n α) (B : Matrix n m α) [] :\nA * (A * B) = B\n\nA copy of invOf_mul_self_assoc for rectangular matrices.\n\ntheorem Matrix.mul_invOf_self_assoc {m : Type u_1} {n : Type u_2} {α : Type u_3} [] [] [] (A : Matrix n n α) (B : Matrix n m α) [] :\nA * (A * B) = B\n\nA copy of mul_invOf_self_assoc for rectangular matrices.\n\ntheorem Matrix.mul_invOf_mul_self_cancel {m : Type u_1} {n : Type u_2} {α : Type u_3} [] [] [] (A : Matrix m n α) (B : Matrix n n α) [] :\nA * B * B = A\n\nA copy of mul_invOf_mul_self_cancel for rectangular matrices.\n\ntheorem Matrix.mul_mul_invOf_self_cancel {m : Type u_1} {n : Type u_2} {α : Type u_3} [] [] [] (A : Matrix m n α) (B : Matrix n n α) [] :\nA * B * B = A\n\nA copy of mul_mul_invOf_self_cancel for rectangular matrices.\n\ninstance Matrix.invertibleConjTranspose {n : Type u_2} {α : Type u_3} [] [] [] [] (A : Matrix n n α) [] :\n\nThe conjugate transpose of an invertible matrix is invertible.\n\ntheorem Matrix.conjTranspose_invOf {n : Type u_2} {α : Type u_3} [] [] [] [] (A : Matrix n n α) [] :\ndef Matrix.invertibleOfInvertibleConjTranspose {n : Type u_2} {α : Type u_3} [] [] [] [] (A : Matrix n n α) :\n\nA matrix is invertible if the conjugate transpose is invertible.\n\nInstances For\n@[simp]\ntheorem Matrix.isUnit_conjTranspose {n : Type u_2} {α : Type u_3} [] [] [] [] (A : Matrix n n α) :\ninstance Matrix.invertibleTranspose {n : Type u_2} {α : Type u_3} [] [] [] (A : Matrix n n α) [] :\n\nThe transpose of an invertible matrix is invertible.\n\ntheorem Matrix.transpose_invOf {n : Type u_2} {α : Type u_3} [] [] [] (A : Matrix n n α) [] [] :\ndef Matrix.invertibleOfInvertibleTranspose {n : Type u_2} {α : Type u_3} [] [] [] (A : Matrix n n α) [] :\n\nAᵀ is invertible when A is.\n\nInstances For\n@[simp]\ntheorem Matrix.transposeInvertibleEquivInvertible_apply {n : Type u_2} {α : Type u_3} [] [] [] (A : Matrix n n α) [] :\n@[simp]\ntheorem Matrix.transposeInvertibleEquivInvertible_symm_apply {n : Type u_2} {α : Type u_3} [] [] [] (A : Matrix n n α) [] :\ninst✝ =\ndef Matrix.transposeInvertibleEquivInvertible {n : Type u_2} {α : Type u_3} [] [] [] (A : Matrix n n α) :\n\nTogether Matrix.invertibleTranspose and Matrix.invertibleOfInvertibleTranspose form an equivalence, although both sides of the equiv are subsingleton anyway.\n\nInstances For\n@[simp]\ntheorem Matrix.isUnit_transpose {n : Type u_2} {α : Type u_3} [] [] [] (A : Matrix n n α) :" ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.65130293,"math_prob":0.9889579,"size":1023,"snap":"2023-40-2023-50","text_gpt3_token_len":238,"char_repetition_ratio":0.20117763,"word_repetition_ratio":0.10084034,"special_character_ratio":0.15933529,"punctuation_ratio":0.13815789,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99983734,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2023-09-27T06:08:36Z\",\"WARC-Record-ID\":\"<urn:uuid:02f7b2b0-cc90-41a0-976b-9ea5e0a96ae6>\",\"Content-Length\":\"48663\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:da6b602c-5b42-4637-a51c-19d9020e88ce>\",\"WARC-Concurrent-To\":\"<urn:uuid:f3f2b0c2-4592-4e7a-8fbe-22c707ca52c2>\",\"WARC-IP-Address\":\"185.199.111.153\",\"WARC-Target-URI\":\"https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/Matrix/Invertible.html\",\"WARC-Payload-Digest\":\"sha1:FBQTW474JJLLYSEWHOBXQKISEI4GZBG6\",\"WARC-Block-Digest\":\"sha1:GBT2NWRB2RGRFNNTZ4OEPALYWTYQ2RWF\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2023/CC-MAIN-2023-40/CC-MAIN-2023-40_segments_1695233510259.52_warc_CC-MAIN-20230927035329-20230927065329-00734.warc.gz\"}"}
https://git.sesse.net/?p=ccbs;a=blobdiff;f=sql/cc04/cc3-04.sql;h=7f01806926ba11d0f3f79f4130f0cb4e099c5287;hp=90eaad17eb70ad897b26176628a208f1b4c03d6c;hb=1f60fb5390460b3db78b28cadc8790cce5da267c;hpb=1c54093a61bb4f6633bc7649e72a33a2ccb3bb40;ds=sidebyside	[ "@@ -40,24 +40,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Ted Kristian'),\n1\n);\n(SELECT player FROM players WHERE nick='Ted Kristian'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Ted Kristian'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Ted Kristian'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n4475);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n4475);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Ted Kristian'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Ted Kristian'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love')),\n'f',\n5340);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love')),\n'f',\n5340);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Ted Kristian'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Ted Kristian'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n7032);\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n7032);\n@@ -68,24 +71,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Pål Andre'),\n2\n);\n(SELECT player FROM players WHERE nick='Pål Andre'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Pål Andre'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Pål Andre'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n4760);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n4760);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Pål Andre'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Pål Andre'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love')),\n'f',\n5946);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love')),\n'f',\n5946);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Pål Andre'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Pål Andre'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n't',\n5875);\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n't',\n5875);\n@@ -96,24 +102,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Mulefisk'),\n3\n);\n(SELECT player FROM players WHERE nick='Mulefisk'),\n3\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Mulefisk'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Mulefisk'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n5734);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n5734);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Mulefisk'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Mulefisk'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love')),\n'f',\n7095);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love')),\n'f',\n7095);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Mulefisk'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Mulefisk'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8047);\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8047);\n@@ -124,24 +133,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Haggar'),\n4\n);\n(SELECT player FROM players WHERE nick='Haggar'),\n4\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Haggar'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Haggar'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n6356);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n6356);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Haggar'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Haggar'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love')),\n'f',\n7560);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love')),\n'f',\n7560);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Haggar'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Haggar'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n't',\n7720);\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n't',\n7720);\n@@ -152,24 +164,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Snute'),\n5\n);\n(SELECT player FROM players WHERE nick='Snute'),\n5\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n6480);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n6480);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love')),\n'f',\n7646);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love')),\n'f',\n7646);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 1,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U')),\n't',\n7702);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U')),\n't',\n7702);\n@@ -199,24 +214,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Jim Andre'),\n1\n);\n(SELECT player FROM players WHERE nick='Jim Andre'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Jim Andre'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Jim Andre'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Don\\'t Try to Stop It')),\n'f',\n5809);\n(SELECT song FROM songs WHERE lower(title)=lower('Don\\'t Try to Stop It')),\n'f',\n5809);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Jim Andre'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Jim Andre'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Make A Jam!')),\n'f',\n5338);\n(SELECT song FROM songs WHERE lower(title)=lower('Make A Jam!')),\n'f',\n5338);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Jim Andre'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Jim Andre'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love')),\n't',\n6198);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love')),\n't',\n6198);\n@@ -227,24 +245,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Andre'),\n2\n);\n(SELECT player FROM players WHERE nick='Andre'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Andre'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Andre'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Don\\'t Try to Stop It')),\n'f',\n4264);\n(SELECT song FROM songs WHERE lower(title)=lower('Don\\'t Try to Stop It')),\n'f',\n4264);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Andre'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Andre'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Make A Jam!')),\n'f',\n3773);\n(SELECT song FROM songs WHERE lower(title)=lower('Make A Jam!')),\n'f',\n3773);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Andre'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Andre'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Afronova')),\n't',\n5277);\n(SELECT song FROM songs WHERE lower(title)=lower('Afronova')),\n't',\n5277);\n@@ -255,24 +276,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Dabi'),\n3\n);\n(SELECT player FROM players WHERE nick='Dabi'),\n3\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Dabi'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Dabi'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Don\\'t Try to Stop It')),\n'f',\n5388);\n(SELECT song FROM songs WHERE lower(title)=lower('Don\\'t Try to Stop It')),\n'f',\n5388);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Dabi'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Dabi'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Make A Jam!')),\n'f',\n5249);\n(SELECT song FROM songs WHERE lower(title)=lower('Make A Jam!')),\n'f',\n5249);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Dabi'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Dabi'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Jam Jam Reggae (AM Swing Mix)')),\n't',\n7228);\n(SELECT song FROM songs WHERE lower(title)=lower('Jam Jam Reggae (AM Swing Mix)')),\n't',\n7228);\n@@ -283,24 +307,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Oliyzia'),\n4\n);\n(SELECT player FROM players WHERE nick='Oliyzia'),\n4\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Don\\'t Try to Stop It')),\n'f',\n6226);\n(SELECT song FROM songs WHERE lower(title)=lower('Don\\'t Try to Stop It')),\n'f',\n6226);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Make A Jam!')),\n'f',\n6708);\n(SELECT song FROM songs WHERE lower(title)=lower('Make A Jam!')),\n'f',\n6708);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Groove 2001')),\n't',\n6445);\n(SELECT song FROM songs WHERE lower(title)=lower('Groove 2001')),\n't',\n6445);\n@@ -311,24 +338,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='OJK'),\n5\n);\n(SELECT player FROM players WHERE nick='OJK'),\n5\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='OJK'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='OJK'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Don\\'t Try to Stop It')),\n'f',\n7353);\n(SELECT song FROM songs WHERE lower(title)=lower('Don\\'t Try to Stop It')),\n'f',\n7353);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='OJK'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='OJK'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Make A Jam!')),\n'f',\n7214);\n(SELECT song FROM songs WHERE lower(title)=lower('Make A Jam!')),\n'f',\n7214);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='OJK'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 2,\n(SELECT player FROM players WHERE nick='OJK'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('www.blonde girl (MOMO Mix)')),\n't',\n6791);\n(SELECT song FROM songs WHERE lower(title)=lower('www.blonde girl (MOMO Mix)')),\n't',\n6791);\n@@ -358,24 +388,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Glukko'),\n1\n);\n(SELECT player FROM players WHERE nick='Glukko'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Glukko'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Glukko'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('5, 6, 7, 8')),\n'f',\n4346);\n(SELECT song FROM songs WHERE lower(title)=lower('5, 6, 7, 8')),\n'f',\n4346);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Glukko'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Glukko'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('So Deep (Perfect Sphere Mix)')),\n'f',\n3531);\n(SELECT song FROM songs WHERE lower(title)=lower('So Deep (Perfect Sphere Mix)')),\n'f',\n3531);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Glukko'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Glukko'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n't',\n5270);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n't',\n5270);\n@@ -386,17 +419,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Ole-Christian'),\n2\n);\n(SELECT player FROM players WHERE nick='Ole-Christian'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Ole-Christian'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Ole-Christian'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('5, 6, 7, 8')),\n'f',\n0);\n(SELECT song FROM songs WHERE lower(title)=lower('5, 6, 7, 8')),\n'f',\n0);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Ole-Christian'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Ole-Christian'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('So Deep (Perfect Sphere Mix)')),\n'f',\n0);\n(SELECT song FROM songs WHERE lower(title)=lower('So Deep (Perfect Sphere Mix)')),\n'f',\n0);\n@@ -407,24 +442,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Zyc'),\n3\n);\n(SELECT player FROM players WHERE nick='Zyc'),\n3\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Zyc'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Zyc'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('5, 6, 7, 8')),\n'f',\n4898);\n(SELECT song FROM songs WHERE lower(title)=lower('5, 6, 7, 8')),\n'f',\n4898);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Zyc'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Zyc'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('So Deep (Perfect Sphere Mix)')),\n'f',\n3333);\n(SELECT song FROM songs WHERE lower(title)=lower('So Deep (Perfect Sphere Mix)')),\n'f',\n3333);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Zyc'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Zyc'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Jam Jam Reggae (AM Swing Mix)')),\n't',\n5149);\n(SELECT song FROM songs WHERE lower(title)=lower('Jam Jam Reggae (AM Swing Mix)')),\n't',\n5149);\n@@ -435,24 +473,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Ylini'),\n4\n);\n(SELECT player FROM players WHERE nick='Ylini'),\n4\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Ylini'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Ylini'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('5, 6, 7, 8')),\n'f',\n5189);\n(SELECT song FROM songs WHERE lower(title)=lower('5, 6, 7, 8')),\n'f',\n5189);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Ylini'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Ylini'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('So Deep (Perfect Sphere Mix)')),\n'f',\n4391);\n(SELECT song FROM songs WHERE lower(title)=lower('So Deep (Perfect Sphere Mix)')),\n'f',\n4391);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Ylini'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='Ylini'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Jam Jam Reggae (AM Swing Mix)')),\n't',\n7298);\n(SELECT song FROM songs WHERE lower(title)=lower('Jam Jam Reggae (AM Swing Mix)')),\n't',\n7298);\n@@ -463,24 +504,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='DufF'),\n5\n);\n(SELECT player FROM players WHERE nick='DufF'),\n5\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('5, 6, 7, 8')),\n'f',\n5822);\n(SELECT song FROM songs WHERE lower(title)=lower('5, 6, 7, 8')),\n'f',\n5822);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('So Deep (Perfect Sphere Mix)')),\n'f',\n8510);\n(SELECT song FROM songs WHERE lower(title)=lower('So Deep (Perfect Sphere Mix)')),\n'f',\n8510);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 3,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Trip Machine (Luv Mix)')),\n't',\n8504);\n(SELECT song FROM songs WHERE lower(title)=lower('Trip Machine (Luv Mix)')),\n't',\n8504);\n@@ -510,24 +554,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Th0rny'),\n1\n);\n(SELECT player FROM players WHERE nick='Th0rny'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Th0rny'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Th0rny'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Look to the sky')),\n'f',\n5789);\n(SELECT song FROM songs WHERE lower(title)=lower('Look to the sky')),\n'f',\n5789);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Th0rny'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Th0rny'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Burnin\\' the Floor')),\n'f',\n6214);\n(SELECT song FROM songs WHERE lower(title)=lower('Burnin\\' the Floor')),\n'f',\n6214);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Th0rny'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Th0rny'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n8348);\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n8348);\n@@ -538,24 +585,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Nameless'),\n2\n);\n(SELECT player FROM players WHERE nick='Nameless'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Nameless'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Nameless'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Look to the sky')),\n'f',\n5618);\n(SELECT song FROM songs WHERE lower(title)=lower('Look to the sky')),\n'f',\n5618);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Nameless'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Nameless'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Burnin\\' the Floor')),\n'f',\n6326);\n(SELECT song FROM songs WHERE lower(title)=lower('Burnin\\' the Floor')),\n'f',\n6326);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Nameless'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Nameless'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8278);\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8278);\n@@ -566,24 +616,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Matsi'),\n3\n);\n(SELECT player FROM players WHERE nick='Matsi'),\n3\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Matsi'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Matsi'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Look to the sky')),\n'f',\n4525);\n(SELECT song FROM songs WHERE lower(title)=lower('Look to the sky')),\n'f',\n4525);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Matsi'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Matsi'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Burnin\\' the Floor')),\n'f',\n6008);\n(SELECT song FROM songs WHERE lower(title)=lower('Burnin\\' the Floor')),\n'f',\n6008);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Matsi'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Matsi'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n7040);\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n7040);\n@@ -594,24 +647,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Draconia'),\n4\n);\n(SELECT player FROM players WHERE nick='Draconia'),\n4\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Draconia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Draconia'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Look to the sky')),\n'f',\n5716);\n(SELECT song FROM songs WHERE lower(title)=lower('Look to the sky')),\n'f',\n5716);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Draconia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Draconia'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Burnin\\' the Floor')),\n'f',\n6169);\n(SELECT song FROM songs WHERE lower(title)=lower('Burnin\\' the Floor')),\n'f',\n6169);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Draconia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='Draconia'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n7682);\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n7682);\n@@ -622,24 +678,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='RiChY'),\n5\n);\n(SELECT player FROM players WHERE nick='RiChY'),\n5\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='RiChY'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='RiChY'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Look to the sky')),\n'f',\n6023);\n(SELECT song FROM songs WHERE lower(title)=lower('Look to the sky')),\n'f',\n6023);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='RiChY'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='RiChY'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Burnin\\' the Floor')),\n'f',\n6628);\n(SELECT song FROM songs WHERE lower(title)=lower('Burnin\\' the Floor')),\n'f',\n6628);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='RiChY'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 4,\n(SELECT player FROM players WHERE nick='RiChY'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Healing Vision (Angelic Mix)')),\n't',\n8179);\n(SELECT song FROM songs WHERE lower(title)=lower('Healing Vision (Angelic Mix)')),\n't',\n8179);\n@@ -669,24 +728,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Eruanna'),\n1\n);\n(SELECT player FROM players WHERE nick='Eruanna'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Eruanna'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Eruanna'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n'f',\n5410);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n'f',\n5410);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Eruanna'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Eruanna'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n'f',\n4383);\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n'f',\n4383);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Eruanna'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Eruanna'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Jam Jam Reggae (AM Swing Mix)')),\n't',\n6040);\n(SELECT song FROM songs WHERE lower(title)=lower('Jam Jam Reggae (AM Swing Mix)')),\n't',\n6040);\n@@ -697,24 +759,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Advena'),\n2\n);\n(SELECT player FROM players WHERE nick='Advena'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Advena'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Advena'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n'f',\n6729);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n'f',\n6729);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Advena'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Advena'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n'f',\n7069);\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n'f',\n7069);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Advena'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Advena'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n7624);\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n7624);\n@@ -725,24 +790,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Tassen'),\n3\n);\n(SELECT player FROM players WHERE nick='Tassen'),\n3\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Tassen'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Tassen'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n'f',\n6911);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n'f',\n6911);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Tassen'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Tassen'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n'f',\n6693);\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n'f',\n6693);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Tassen'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Tassen'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n7298);\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n7298);\n@@ -753,24 +821,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Duckling'),\n4\n);\n(SELECT player FROM players WHERE nick='Duckling'),\n4\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Duckling'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Duckling'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n'f',\n8252);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n'f',\n8252);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Duckling'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Duckling'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n'f',\n7357);\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n'f',\n7357);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Duckling'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Duckling'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Jam Jam Reggae (AM Swing Mix)')),\n't',\n7321);\n(SELECT song FROM songs WHERE lower(title)=lower('Jam Jam Reggae (AM Swing Mix)')),\n't',\n7321);\n@@ -781,24 +852,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Olemann'),\n5\n);\n(SELECT player FROM players WHERE nick='Olemann'),\n5\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Olemann'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Olemann'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n'f',\n7471);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n'f',\n7471);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Olemann'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Olemann'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n'f',\n7919);\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n'f',\n7919);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Olemann'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='Olemann'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n8043);\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n8043);\n@@ -809,24 +883,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='T\|na'),\n6\n);\n(SELECT player FROM players WHERE nick='T\|na'),\n6\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='T\|na'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='T\|na'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n'f',\n8546);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n'f',\n8546);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='T\|na'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='T\|na'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n'f',\n7881);\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n'f',\n7881);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='T\|na'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 5,\n(SELECT player FROM players WHERE nick='T\|na'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Jam Jam Reggae (AM Swing Mix)')),\n't',\n7740);\n(SELECT song FROM songs WHERE lower(title)=lower('Jam Jam Reggae (AM Swing Mix)')),\n't',\n7740);\n@@ -856,24 +933,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Bonzo'),\n1\n);\n(SELECT player FROM players WHERE nick='Bonzo'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Bonzo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Bonzo'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('The Reflex')),\n'f',\n4564);\n(SELECT song FROM songs WHERE lower(title)=lower('The Reflex')),\n'f',\n4564);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Bonzo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Bonzo'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n'f',\n6212);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n'f',\n6212);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Bonzo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Bonzo'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n7211);\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n7211);\n@@ -884,24 +964,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Gollum'),\n2\n);\n(SELECT player FROM players WHERE nick='Gollum'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Gollum'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Gollum'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('The Reflex')),\n'f',\n3139);\n(SELECT song FROM songs WHERE lower(title)=lower('The Reflex')),\n'f',\n3139);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Gollum'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Gollum'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n'f',\n5655);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n'f',\n5655);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Gollum'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Gollum'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Jam Jam Reggae (AM Swing Mix)')),\n't',\n6369);\n(SELECT song FROM songs WHERE lower(title)=lower('Jam Jam Reggae (AM Swing Mix)')),\n't',\n6369);\n@@ -912,24 +995,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Hugo'),\n3\n);\n(SELECT player FROM players WHERE nick='Hugo'),\n3\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('The Reflex')),\n'f',\n6888);\n(SELECT song FROM songs WHERE lower(title)=lower('The Reflex')),\n'f',\n6888);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n'f',\n8521);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n'f',\n8521);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n't',\n7439);\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n't',\n7439);\n@@ -940,24 +1026,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Auran'),\n4\n);\n(SELECT player FROM players WHERE nick='Auran'),\n4\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Auran'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Auran'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('The Reflex')),\n'f',\n3300);\n(SELECT song FROM songs WHERE lower(title)=lower('The Reflex')),\n'f',\n3300);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Auran'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Auran'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n'f',\n3813);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n'f',\n3813);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Auran'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Auran'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Silent Hill')),\n't',\n4377);\n(SELECT song FROM songs WHERE lower(title)=lower('Silent Hill')),\n't',\n4377);\n@@ -968,24 +1057,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Smiph'),\n5\n);\n(SELECT player FROM players WHERE nick='Smiph'),\n5\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Smiph'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Smiph'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('The Reflex')),\n'f',\n5696);\n(SELECT song FROM songs WHERE lower(title)=lower('The Reflex')),\n'f',\n5696);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Smiph'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Smiph'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n'f',\n7569);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n'f',\n7569);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Smiph'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Smiph'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n7703);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n7703);\n@@ -996,24 +1088,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Stream'),\n6\n);\n(SELECT player FROM players WHERE nick='Stream'),\n6\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Stream'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Stream'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('The Reflex')),\n'f',\n5989);\n(SELECT song FROM songs WHERE lower(title)=lower('The Reflex')),\n'f',\n5989);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Stream'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Stream'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n'f',\n7689);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n'f',\n7689);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Stream'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n1, 6,\n(SELECT player FROM players WHERE nick='Stream'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n8064);\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n8064);\n@@ -1048,24 +1143,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Smiph'),\n1\n);\n(SELECT player FROM players WHERE nick='Smiph'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Smiph'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Smiph'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Love This Feelin\\'')),\n'f',\n5825);\n(SELECT song FROM songs WHERE lower(title)=lower('Love This Feelin\\'')),\n'f',\n5825);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Smiph'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Smiph'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n4790);\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n4790);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Smiph'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Smiph'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n7961);\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n7961);\n@@ -1076,24 +1174,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Mulefisk'),\n2\n);\n(SELECT player FROM players WHERE nick='Mulefisk'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Mulefisk'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Mulefisk'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Love This Feelin\\'')),\n'f',\n6533);\n(SELECT song FROM songs WHERE lower(title)=lower('Love This Feelin\\'')),\n'f',\n6533);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Mulefisk'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Mulefisk'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n5504);\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n5504);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Mulefisk'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Mulefisk'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n't',\n7989);\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n't',\n7989);\n@@ -1104,24 +1205,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Oliyzia'),\n3\n);\n(SELECT player FROM players WHERE nick='Oliyzia'),\n3\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Love This Feelin\\'')),\n'f',\n7101);\n(SELECT song FROM songs WHERE lower(title)=lower('Love This Feelin\\'')),\n'f',\n7101);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n5725);\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n5725);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n8713);\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n8713);\n@@ -1132,24 +1236,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Th0rny'),\n4\n);\n(SELECT player FROM players WHERE nick='Th0rny'),\n4\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Th0rny'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Th0rny'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Love This Feelin\\'')),\n'f',\n6377);\n(SELECT song FROM songs WHERE lower(title)=lower('Love This Feelin\\'')),\n'f',\n6377);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Th0rny'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Th0rny'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n4994);\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n4994);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Th0rny'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='Th0rny'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n't',\n8140);\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n't',\n8140);\n@@ -1160,24 +1267,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='OJK'),\n5\n);\n(SELECT player FROM players WHERE nick='OJK'),\n5\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='OJK'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='OJK'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Love This Feelin\\'')),\n'f',\n7140);\n(SELECT song FROM songs WHERE lower(title)=lower('Love This Feelin\\'')),\n'f',\n7140);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='OJK'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='OJK'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n5515);\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n5515);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='OJK'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='OJK'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Trip Machine (Luv Mix)')),\n't',\n8310);\n(SELECT song FROM songs WHERE lower(title)=lower('Trip Machine (Luv Mix)')),\n't',\n8310);\n@@ -1188,24 +1298,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='T\|na'),\n6\n);\n(SELECT player FROM players WHERE nick='T\|na'),\n6\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='T\|na'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='T\|na'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Love This Feelin\\'')),\n'f',\n6447);\n(SELECT song FROM songs WHERE lower(title)=lower('Love This Feelin\\'')),\n'f',\n6447);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='T\|na'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='T\|na'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n5518);\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n5518);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='T\|na'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 1,\n(SELECT player FROM players WHERE nick='T\|na'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n8271);\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n8271);\n@@ -1235,24 +1348,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Dabi'),\n1\n);\n(SELECT player FROM players WHERE nick='Dabi'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Dabi'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Dabi'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('La Senorita')),\n'f',\n4394);\n(SELECT song FROM songs WHERE lower(title)=lower('La Senorita')),\n'f',\n4394);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Dabi'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Dabi'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Ecstasy')),\n'f',\n4295);\n(SELECT song FROM songs WHERE lower(title)=lower('Ecstasy')),\n'f',\n4295);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Dabi'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Dabi'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n6188);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n6188);\n@@ -1263,24 +1379,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Duckling'),\n2\n);\n(SELECT player FROM players WHERE nick='Duckling'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Duckling'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Duckling'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('La Senorita')),\n'f',\n5898);\n(SELECT song FROM songs WHERE lower(title)=lower('La Senorita')),\n'f',\n5898);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Duckling'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Duckling'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Ecstasy')),\n'f',\n5857);\n(SELECT song FROM songs WHERE lower(title)=lower('Ecstasy')),\n'f',\n5857);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Duckling'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Duckling'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n8053);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n8053);\n@@ -1291,24 +1410,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Ylini'),\n3\n);\n(SELECT player FROM players WHERE nick='Ylini'),\n3\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Ylini'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Ylini'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('La Senorita')),\n'f',\n5873);\n(SELECT song FROM songs WHERE lower(title)=lower('La Senorita')),\n'f',\n5873);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Ylini'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Ylini'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Ecstasy')),\n'f',\n5881);\n(SELECT song FROM songs WHERE lower(title)=lower('Ecstasy')),\n'f',\n5881);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Ylini'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Ylini'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n8283);\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n8283);\n@@ -1319,24 +1441,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Stream'),\n4\n);\n(SELECT player FROM players WHERE nick='Stream'),\n4\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Stream'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Stream'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('La Senorita')),\n'f',\n5820);\n(SELECT song FROM songs WHERE lower(title)=lower('La Senorita')),\n'f',\n5820);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Stream'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Stream'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Ecstasy')),\n'f',\n6437);\n(SELECT song FROM songs WHERE lower(title)=lower('Ecstasy')),\n'f',\n6437);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Stream'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Stream'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n8232);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n8232);\n@@ -1347,24 +1472,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Snute'),\n5\n);\n(SELECT player FROM players WHERE nick='Snute'),\n5\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('La Senorita')),\n'f',\n6509);\n(SELECT song FROM songs WHERE lower(title)=lower('La Senorita')),\n'f',\n6509);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Ecstasy')),\n'f',\n6858);\n(SELECT song FROM songs WHERE lower(title)=lower('Ecstasy')),\n'f',\n6858);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Dynamite Rave')),\n't',\n8420);\n(SELECT song FROM songs WHERE lower(title)=lower('Dynamite Rave')),\n't',\n8420);\n@@ -1375,24 +1503,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Hugo'),\n6\n);\n(SELECT player FROM players WHERE nick='Hugo'),\n6\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('La Senorita')),\n'f',\n6424);\n(SELECT song FROM songs WHERE lower(title)=lower('La Senorita')),\n'f',\n6424);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Ecstasy')),\n'f',\n6499);\n(SELECT song FROM songs WHERE lower(title)=lower('Ecstasy')),\n'f',\n6499);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 2,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Trip Machine Climax')),\n't',\n8601);\n(SELECT song FROM songs WHERE lower(title)=lower('Trip Machine Climax')),\n't',\n8601);\n@@ -1422,24 +1553,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Zyc'),\n1\n);\n(SELECT player FROM players WHERE nick='Zyc'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Zyc'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Zyc'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n'f',\n3711);\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n'f',\n3711);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Zyc'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Zyc'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Stomp')),\n'f',\n3767);\n(SELECT song FROM songs WHERE lower(title)=lower('Stomp')),\n'f',\n3767);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Zyc'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Zyc'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Max 300')),\n't',\n0);\n(SELECT song FROM songs WHERE lower(title)=lower('Max 300')),\n't',\n0);\n@@ -1450,24 +1584,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Nameless'),\n2\n);\n(SELECT player FROM players WHERE nick='Nameless'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Nameless'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Nameless'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n'f',\n8621);\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n'f',\n8621);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Nameless'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Nameless'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Stomp')),\n'f',\n5773);\n(SELECT song FROM songs WHERE lower(title)=lower('Stomp')),\n'f',\n5773);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Nameless'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Nameless'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n6811);\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n6811);\n@@ -1478,24 +1615,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Haggar'),\n3\n);\n(SELECT player FROM players WHERE nick='Haggar'),\n3\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Haggar'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Haggar'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n'f',\n8853);\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n'f',\n8853);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Haggar'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Haggar'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Stomp')),\n'f',\n5898);\n(SELECT song FROM songs WHERE lower(title)=lower('Stomp')),\n'f',\n5898);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Haggar'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Haggar'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8750);\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8750);\n@@ -1506,24 +1646,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Olemann'),\n4\n);\n(SELECT player FROM players WHERE nick='Olemann'),\n4\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Olemann'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Olemann'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n'f',\n6836);\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n'f',\n6836);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Olemann'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Olemann'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Stomp')),\n'f',\n5513);\n(SELECT song FROM songs WHERE lower(title)=lower('Stomp')),\n'f',\n5513);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Olemann'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='Olemann'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n't',\n7941);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n't',\n7941);\n@@ -1534,24 +1677,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='RiChY'),\n5\n);\n(SELECT player FROM players WHERE nick='RiChY'),\n5\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='RiChY'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='RiChY'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n'f',\n8490);\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n'f',\n8490);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='RiChY'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='RiChY'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Stomp')),\n'f',\n6341);\n(SELECT song FROM songs WHERE lower(title)=lower('Stomp')),\n'f',\n6341);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='RiChY'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='RiChY'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8630);\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8630);\n@@ -1562,24 +1708,27 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='DufF'),\n6\n);\n(SELECT player FROM players WHERE nick='DufF'),\n6\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n'f',\n8781);\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n'f',\n8781);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Stomp')),\n'f',\n6211);\n(SELECT song FROM songs WHERE lower(title)=lower('Stomp')),\n'f',\n6211);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n2, 3,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 2,\n(SELECT song FROM songs WHERE lower(title)=lower('Afronova')),\n't',\n8384);\n(SELECT song FROM songs WHERE lower(title)=lower('Afronova')),\n't',\n8384);\n@@ -1609,17 +1758,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Stream'),\n1\n);\n(SELECT player FROM players WHERE nick='Stream'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Stream'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Stream'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n6565);\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n6565);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Stream'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Stream'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n't',\n7765);\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n't',\n7765);\n@@ -1630,17 +1781,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='T\|na'),\n2\n);\n(SELECT player FROM players WHERE nick='T\|na'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='T\|na'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='T\|na'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n6520);\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n6520);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='T\|na'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='T\|na'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n8489);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n8489);\n@@ -1651,17 +1804,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='DufF'),\n3\n);\n(SELECT player FROM players WHERE nick='DufF'),\n3\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n7553);\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n7553);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Trip Machine Climax')),\n't',\n8621);\n(SELECT song FROM songs WHERE lower(title)=lower('Trip Machine Climax')),\n't',\n8621);\n@@ -1672,17 +1827,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='OJK'),\n4\n);\n(SELECT player FROM players WHERE nick='OJK'),\n4\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='OJK'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='OJK'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n7015);\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n7015);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='OJK'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='OJK'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Candy')),\n't',\n8627);\n(SELECT song FROM songs WHERE lower(title)=lower('Candy')),\n't',\n8627);\n@@ -1693,17 +1850,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Hugo'),\n5\n);\n(SELECT player FROM players WHERE nick='Hugo'),\n5\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n7258);\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n7258);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Tsugaru')),\n't',\n8228);\n(SELECT song FROM songs WHERE lower(title)=lower('Tsugaru')),\n't',\n8228);\n@@ -1714,17 +1873,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='RiChY'),\n6\n);\n(SELECT player FROM players WHERE nick='RiChY'),\n6\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='RiChY'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='RiChY'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n7143);\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n7143);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='RiChY'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='RiChY'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n't',\n8453);\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n't',\n8453);\n@@ -1735,17 +1896,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Snute'),\n7\n);\n(SELECT player FROM players WHERE nick='Snute'),\n7\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n7605);\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n7605);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('So Deep (Perfect Sphere Mix)')),\n't',\n8374);\n(SELECT song FROM songs WHERE lower(title)=lower('So Deep (Perfect Sphere Mix)')),\n't',\n8374);\n@@ -1756,17 +1919,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Oliyzia'),\n8\n);\n(SELECT player FROM players WHERE nick='Oliyzia'),\n8\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n7185);\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n7185);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Tsugaru')),\n't',\n8475);\n(SELECT song FROM songs WHERE lower(title)=lower('Tsugaru')),\n't',\n8475);\n@@ -1777,17 +1942,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Haggar'),\n9\n);\n(SELECT player FROM players WHERE nick='Haggar'),\n9\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Haggar'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Haggar'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n6892);\n(SELECT song FROM songs WHERE lower(title)=lower('Memories')),\n'f',\n6892);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Haggar'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n3, 0,\n(SELECT player FROM players WHERE nick='Haggar'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n't',\n8468);\n(SELECT song FROM songs WHERE lower(title)=lower('Dead End')),\n't',\n8468);\n@@ -1817,17 +1984,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Haggar'),\n1\n);\n(SELECT player FROM players WHERE nick='Haggar'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Haggar'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Haggar'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n'f',\n7528);\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n'f',\n7528);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Haggar'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Haggar'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Trip Machine Climax')),\n't',\n8273);\n(SELECT song FROM songs WHERE lower(title)=lower('Trip Machine Climax')),\n't',\n8273);\n@@ -1838,17 +2007,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Hugo'),\n2\n);\n(SELECT player FROM players WHERE nick='Hugo'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n'f',\n7376);\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n'f',\n7376);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n8693);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n8693);\n@@ -1859,17 +2030,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='RiChY'),\n3\n);\n(SELECT player FROM players WHERE nick='RiChY'),\n3\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='RiChY'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='RiChY'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n'f',\n7371);\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n'f',\n7371);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='RiChY'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='RiChY'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n8723);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n8723);\n@@ -1880,17 +2053,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='OJK'),\n4\n);\n(SELECT player FROM players WHERE nick='OJK'),\n4\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='OJK'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='OJK'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n'f',\n7282);\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n'f',\n7282);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='OJK'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='OJK'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n8778);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n8778);\n@@ -1901,17 +2076,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Oliyzia'),\n5\n);\n(SELECT player FROM players WHERE nick='Oliyzia'),\n5\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n'f',\n7352);\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n'f',\n7352);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n8808);\n(SELECT song FROM songs WHERE lower(title)=lower('Paranoia KCET (Clean Mix)')),\n't',\n8808);\n@@ -1922,17 +2099,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Snute'),\n6\n);\n(SELECT player FROM players WHERE nick='Snute'),\n6\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n'f',\n7606);\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n'f',\n7606);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n't',\n8748);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n't',\n8748);\n@@ -1943,17 +2122,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='DufF'),\n7\n);\n(SELECT player FROM players WHERE nick='DufF'),\n7\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n'f',\n7572);\n(SELECT song FROM songs WHERE lower(title)=lower('era (nostalmix)')),\n'f',\n7572);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n4, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('So Deep (Perfect Sphere Mix)')),\n't',\n8555);\n(SELECT song FROM songs WHERE lower(title)=lower('So Deep (Perfect Sphere Mix)')),\n't',\n8555);\n@@ -1983,17 +2164,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Hugo'),\n1\n);\n(SELECT player FROM players WHERE nick='Hugo'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U')),\n'f',\n7573);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U')),\n'f',\n7573);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n't',\n8539);\n(SELECT song FROM songs WHERE lower(title)=lower('Exotic Ethnic')),\n't',\n8539);\n@@ -2004,17 +2187,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='RiChY'),\n2\n);\n(SELECT player FROM players WHERE nick='RiChY'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='RiChY'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='RiChY'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U')),\n'f',\n7586);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U')),\n'f',\n7586);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='RiChY'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='RiChY'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Max 300')),\n't',\n8349);\n(SELECT song FROM songs WHERE lower(title)=lower('Max 300')),\n't',\n8349);\n@@ -2025,17 +2210,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='DufF'),\n3\n);\n(SELECT player FROM players WHERE nick='DufF'),\n3\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U')),\n'f',\n7742);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U')),\n'f',\n7742);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n8914);\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n8914);\n@@ -2046,17 +2233,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Oliyzia'),\n4\n);\n(SELECT player FROM players WHERE nick='Oliyzia'),\n4\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U')),\n'f',\n7692);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U')),\n'f',\n7692);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8612);\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8612);\n@@ -2067,17 +2256,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Snute'),\n5\n);\n(SELECT player FROM players WHERE nick='Snute'),\n5\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U')),\n'f',\n7830);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U')),\n'f',\n7830);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n5, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8782);\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8782);\n@@ -2107,17 +2298,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Hugo'),\n1\n);\n(SELECT player FROM players WHERE nick='Hugo'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n6376);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n6376);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8635);\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8635);\n@@ -2128,17 +2321,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Oliyzia'),\n2\n);\n(SELECT player FROM players WHERE nick='Oliyzia'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n6094);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n6094);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='Oliyzia'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n8264);\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n8264);\n@@ -2149,17 +2344,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Snute'),\n3\n);\n(SELECT player FROM players WHERE nick='Snute'),\n3\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n6623);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n6623);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n8828);\n(SELECT song FROM songs WHERE lower(title)=lower('Crash!')),\n't',\n8828);\n@@ -2170,17 +2367,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='DufF'),\n4\n);\n(SELECT player FROM players WHERE nick='DufF'),\n4\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n6455);\n(SELECT song FROM songs WHERE lower(title)=lower('B4U (B4 Za Beat Mix)')),\n'f',\n6455);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n6, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8728);\n(SELECT song FROM songs WHERE lower(title)=lower('PARANOiA Rebirth')),\n't',\n8728);\n@@ -2210,17 +2409,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Hugo'),\n1\n);\n(SELECT player FROM players WHERE nick='Hugo'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n7, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n7, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Tsugaru')),\n'f',\n8273);\n(SELECT song FROM songs WHERE lower(title)=lower('Tsugaru')),\n'f',\n8273);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n7, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n7, 0,\n(SELECT player FROM players WHERE nick='Hugo'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n't',\n8169);\n(SELECT song FROM songs WHERE lower(title)=lower('Can\\'t Stop Fallin\\' in Love (SPEED MIX)')),\n't',\n8169);\n@@ -2231,17 +2432,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='DufF'),\n2\n);\n(SELECT player FROM players WHERE nick='DufF'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n7, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n7, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Tsugaru')),\n'f',\n8420);\n(SELECT song FROM songs WHERE lower(title)=lower('Tsugaru')),\n'f',\n8420);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n7, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n7, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Healing Vision (Angelic Mix)')),\n't',\n8678);\n(SELECT song FROM songs WHERE lower(title)=lower('Healing Vision (Angelic Mix)')),\n't',\n8678);\n@@ -2252,17 +2455,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Snute'),\n3\n);\n(SELECT player FROM players WHERE nick='Snute'),\n3\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n7, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n7, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('Tsugaru')),\n'f',\n8604);\n(SELECT song FROM songs WHERE lower(title)=lower('Tsugaru')),\n'f',\n8604);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n7, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n7, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n8794);\n(SELECT song FROM songs WHERE lower(title)=lower('Electro Tuned (the SubS Mix)')),\n't',\n8794);\n@@ -2294,17 +2499,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='DufF'),\n1\n);\n(SELECT player FROM players WHERE nick='DufF'),\n1\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n8, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n8, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n5640);\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n5640);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n8, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n8, 0,\n(SELECT player FROM players WHERE nick='DufF'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Max 300')),\n'f',\n8906);\n(SELECT song FROM songs WHERE lower(title)=lower('Max 300')),\n'f',\n8906);\n@@ -2315,17 +2522,19 @@ INSERT INTO roundparticipation (tournament, round, parallel, player, position) V\n(SELECT player FROM players WHERE nick='Snute'),\n2\n);\n(SELECT player FROM players WHERE nick='Snute'),\n2\n);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n8, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n8, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 0,\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n5750);\n(SELECT song FROM songs WHERE lower(title)=lower('I Want You To Want Me')),\n'f',\n5750);\n-INSERT INTO scores (tournament, round, parallel, player, song, chosen, score) VALUES (\n+INSERT INTO scores (tournament, round, parallel, player, songnumber, song, chosen, score) VALUES (\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n8, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n(SELECT tournament FROM tournaments WHERE name='Challenge Cup 3'),\n8, 0,\n(SELECT player FROM players WHERE nick='Snute'),\n+ 1,\n(SELECT song FROM songs WHERE lower(title)=lower('Max 300')),\n'f',\n9496);\n(SELECT song FROM songs WHERE lower(title)=lower('Max 300')),\n'f',\n9496);" ]	[ null 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http://www.kylesconverter.com/acceleration/milligals-to-feet-per-hour-per-second	[ "Convert Milligals to Feet Per Hour Per Second\n\nKyle's Converter > Acceleration > Milligals > Milligals to Feet Per Hour Per Second\n\n Milligals (mGal) Feet Per Hour Per Second (fph/s) Precision: 0 1 2 3 4 5 6 7 8 9 12 15 18\nReverse conversion?\nFeet Per Hour Per Second to Milligals\n(or just enter a value in the \"to\" field)\n\nPlease share if you found this tool useful:\n\nUnit Descriptions\n1 Milligal:\n1 Milligal is equal to one thousandth of a gal. In SI units one milligal equals 0.000 01 meters per second squared. 1 mGal = 0.00001 m/s2\n1 Foot per Hour per Second:\n1 ft/(h*s)\n\nConversions Table\n1 Milligals to Feet Per Hour Per Second = 0.118170 Milligals to Feet Per Hour Per Second = 8.2677\n2 Milligals to Feet Per Hour Per Second = 0.236280 Milligals to Feet Per Hour Per Second = 9.4488\n3 Milligals to Feet Per Hour Per Second = 0.354390 Milligals to Feet Per Hour Per Second = 10.6299\n4 Milligals to Feet Per Hour Per Second = 0.4724100 Milligals to Feet Per Hour Per Second = 11.811\n5 Milligals to Feet Per Hour Per Second = 0.5906200 Milligals to Feet Per Hour Per Second = 23.622\n6 Milligals to Feet Per Hour Per Second = 0.7087300 Milligals to Feet Per Hour Per Second = 35.4331\n7 Milligals to Feet Per Hour Per Second = 0.8268400 Milligals to Feet Per Hour Per Second = 47.2441\n8 Milligals to Feet Per Hour Per Second = 0.9449500 Milligals to Feet Per Hour Per Second = 59.0551\n9 Milligals to Feet Per Hour Per Second = 1.063600 Milligals to Feet Per Hour Per Second = 70.8661\n10 Milligals to Feet Per Hour Per Second = 1.1811800 Milligals to Feet Per Hour Per Second = 94.4882\n20 Milligals to Feet Per Hour Per Second = 2.3622900 Milligals to Feet Per Hour Per Second = 106.2992\n30 Milligals to Feet Per Hour Per Second = 3.54331,000 Milligals to Feet Per Hour Per Second = 118.1102\n40 Milligals to Feet Per Hour Per Second = 4.724410,000 Milligals to Feet Per Hour Per Second = 1181.1024\n50 Milligals to Feet Per Hour Per Second = 5.9055100,000 Milligals to Feet Per Hour Per Second = 11811.0236\n60 Milligals to Feet Per Hour Per Second = 7.08661,000,000 Milligals to Feet Per Hour Per Second = 118110.2362" ]	[ null ]	{"ft_lang_label":"__label__en","ft_lang_prob":0.5683871,"math_prob":0.9318094,"size":1587,"snap":"2019-26-2019-30","text_gpt3_token_len":524,"char_repetition_ratio":0.3979785,"word_repetition_ratio":0.40268457,"special_character_ratio":0.40390673,"punctuation_ratio":0.10233918,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9731148,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-06-17T07:16:14Z\",\"WARC-Record-ID\":\"<urn:uuid:6b3f8bf7-a966-4e84-ad48-c3d578058304>\",\"Content-Length\":\"19213\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:3aadee55-25e9-4759-a39d-e5cfa63b066d>\",\"WARC-Concurrent-To\":\"<urn:uuid:694cfbd6-489f-4289-a7f8-d4c88f0e95b6>\",\"WARC-IP-Address\":\"13.249.39.126\",\"WARC-Target-URI\":\"http://www.kylesconverter.com/acceleration/milligals-to-feet-per-hour-per-second\",\"WARC-Payload-Digest\":\"sha1:6GMD2BACJML4EZX5O52XPPH34W2TKWEI\",\"WARC-Block-Digest\":\"sha1:7RSS6LWUO2FRKBJ22QPE7WPW6GMN474F\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-26/CC-MAIN-2019-26_segments_1560627998440.47_warc_CC-MAIN-20190617063049-20190617085049-00530.warc.gz\"}"}