3 Answers. First consider the simplest case where a(x) = a a ( x) = a and b(x) = b b ( x) = b for all x x. Then the Leibniz formula becomes. d dx(∫b a f(x, t)dt) =∫b a ∂ ∂xf(x, t)dx d d x ( ∫ a b f ( x, t) d t) = ∫ a b ∂ ∂ x f ( x, t) d x. i.e. it is reduced to moving the derivative inside the integral. In this special case, the ...You must have a total score of 100 in at least 20 non-community wiki answers to achieve this badge. 14.6k awarded. Silver Badge. You must have a total score of 400 in at least 80 non-community wiki answers to achieve this badge. 2.7k awarded.Stack Exchange - Wikipedia. Stack Exchange is a network of question-and-answer (Q&A) websites on topics in diverse fields, each site covering a specific topic, …As one activist says, “the world has become a village from which Chadians are excluded.” For almost a year now, people across Chad Republic have not been able to access social medi...The second part, containing problems from the British Mathematical Olympiad, is much more challenging.) _ [Beginner-Intermediate] E. Lozansky and C. Rousseau, Winning solutions, A good introduction to some useful background material from number theory, algebra, and combinatorics, and to problem-solving techniques.MathJax basic tutorial and quick reference - Mathematics Meta Stack Exchange. Ask Question. Asked 11 years, 6 months ago. Modified 13 days ago. …Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange The vertices of a triangle are three random points on a unit circle. The side lengths are a, b, c. Show that P(ab > c) = 12. The vertices of a triangle are three unifomly random points on a unit circle. The side lengths are, in random order, a, b, c . Show that P(ab > c) = 1 2 . The result is strongly suggested by ... The first derivative is f ′ (x) = ex − 1 − 1 and the second derivative is f ″ (x) = ex − 1. f is convex everywhere because f ″ (x) > 0, and has a minimum at x = 1. Therefore x ≤ ex − 1 for all x, and the equation is only equal when x = 1. Using this inequality we get. x1 a x2 a ⋯xn a ≤ ex1 a − 1ex2 a − 1⋯exn a − 1.15. I am trying to derive the LU decomposition time complexity for an n × n matrix. Eliminating the first column will require n additions and n multiplications for n − 1 rows. Therefore, the number of operations for the first column is 2n(n − 1). For the second column, we have n − 1 additions and n − 1 multiplications, and we do this ... Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. The second level is a course typically taken by upper level math, physics, and (sometimes) engineering students. At some colleges and universities, students may elect to skip the first level linear algebra course and begin with this level. [This was the case where I did most of my undergraduate work.MathOverflow is for research level math questions. Math.stackexchange.com is not restricted to any particular level of difficulty (though one expects that it won't get much in the way of research level questions since those are at MO). There was a lot of feeling on SO and MO that it'd be good if there was a site for more …SEAT: Get the latest Vivid Seats stock price and detailed information including SEAT news, historical charts and realtime prices. The most overbought stocks in the communication s...34. Cries logical Bobby to Ned, will you dare // A bet, which has most legs, a mare, or no mare. // A mare, to be sure, replied Ned, with a grin, // And fifty I’ll lay, for I’m certain to win. // Quoth Bob, you have lost, sure as you are alive, // A mare has but four legs, and no mare has five. – Pål GD.we get for each pair of points : h = b1 a1k − c1 and another reduced equation for the other pair of points would give: h = b2 a2k − c2. Solving above equations , we get : k = a1a2(c1 − c2) (b1a2 − b2a1) Consider the general (implicit) equation that defines a circle, with parameters α, β, γ.This tag is for questions that are asking for online resources in mathematics (references, dictionaries, encyclopaedic collections, online tools, videos and lectures, etc), or asking about the mathematics behind tools and technology found on the internet. Learn more….Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeStack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeCombining these steps, the overall 1-norm projection of a vector x can be written as: y = RT(Proj∞(Rx × √2) ÷ √2) This formula represents the entire process of projecting a vector onto the 1-norm unit ball using rotation and scaling in conjunction with the infinity-norm projection. I've tried this in R2 and it is correct.This tag is for questions that are asking for online resources in mathematics (references, dictionaries, encyclopaedic collections, online tools, videos and lectures, etc), or asking about the mathematics behind tools and technology found on the internet. Learn more….Method to difference between two continuous fractions and keep continued fraction form. elementary-number-theory. fractions. continued-fractions. Nishi. 1. modified 8 mins ago. 0 votes. 2 answers.Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeI am a second year studying math at university, and have taken theoretical linear algebra, group and ring theory, real and complex analysis, and general topology, as well as some miscellaneous technical courses like probability theory, statistical inference, and algorithms. ... $\begingroup$ Recommendations for inquiry-based learning: math ...2. Obviously I'm late to answer this, but I have some recommendations. As for a nice introduction, I can recommend Introduction to Probability and Mathematical Statistics by Bain and Engelhardt or Statistical Inference by Casella and Berger. On a slightly higher level is Mathematical Statistics by Shao. Finally, an older but still …I am a high school student and we firstly learn something about abstract algebra this week.I want to learn the idea behing the difference between a ∗ b a ∗ b and b ∗ a b ∗ a It is given that a ∗ b = a3 −b2 + 4a + 3b a ∗ b = a 3 − b 2 + 4 a + 3 b ... abstract-algebra. pauli. 27.SEAT: Get the latest Vivid Seats stock price and detailed information including SEAT news, historical charts and realtime prices. The most overbought stocks in the communication s...Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeStack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeP ( A, B, C) = P ( C) P ( B | C) P ( A | C). From a computational perspective, the key thing to note is that conditional dependence here means we can write the 3-variable function P(A, B, C) P ( A, B, C) in terms of 1-variable and 2-variable functions. In a nutshell, conditional independence means that joint distributions are simpler than they ...A tensor field of type (1, 0) is a vector field. A tensor field of type (0, 1) is a differential 1 -form. A tensor field of type (1, 1) is a morphism of vector fields. A tensor field of type (0, 2) which is symmetric and nondegenerate is a metric tensor. If it is also positive-definite, it is a Riemannian metric. A brief guide to markdown can be found by clicking the question mark above the text box for writing questions or answers: In addition to markdown, many html tags are supported. You know, that page doesn't mention the [La]TeX (like) syntax support. That would probably be a good thing to add... Closed form of ∑ m=0∞ (a)mBp(b+m,c−b)zm m! ∑ m = 0 ∞ ( a) m B p ( b + m, c − b) z m m! with the Incomplete Beta function. This question comes from related “sum of incomplete gamma function” problems. Also,there are many research papers trying to make the Hypergeometric Incomplete. Here is one confluent example from ... Mathematics Stack Exchange. Help center. Asking. What topics can I ask about here? What to ask here. Mathematics Stack Exchange is for people studying …The simplest heuristic approximation method is the one proposed by Tiller and Hanson. They just offset the legs of the control polygon in perpendicular directions: The blue curve is the original one, and the three blue lines are the legs of its control polygon. We offset these three lines, and intersect/trim them to get the points A and B. How does it work? Meta Mathematics Stack Exchange is the part of the site where users discuss the workings and policies of Mathematics Stack Exchange rather than discussing math itself. It is separated from the main Q&A to reduce noise there while providing a legitimate space for people to ask how and why this site works the way it does. Meta ... Approach0 is a math-aware search engine. “Math-aware” means you can add math expression (s) as some of your keywords to have search engine help you find similar expressions. Check out here: https://approach0.xyz. To restrict matches to this site paste the string "AND site:math.stackexchange.com" into the search window (this …Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeP ( A, B, C) = P ( C) P ( B | C) P ( A | C). From a computational perspective, the key thing to note is that conditional dependence here means we can write the 3-variable function P(A, B, C) P ( A, B, C) in terms of 1-variable and 2-variable functions. In a nutshell, conditional independence means that joint distributions are simpler than they ...Mar 28, 2014 · Math Stack Exchange's default style uses a light-colored page background, so avoid using light colors for text. Stick to darker colors like maroon, green, blue, and purple, and remember also that 7–10% of men are color-blind and have difficulty distinguishing red and green. Saving for retirement can be difficult in the best of times, but even harder during a pandemic and challenging economy. An underutilized tax credit… April 14, 2021 • By Catherine C...Prove that if p ≡ 7 (mod 8), the solutions to the congruence x2 − 34x + 1 ≡ 0 (mod p) are both quadratic residues modulo p. elementary-number-theory. modular-arithmetic. quadratic-residues.Technically, the answer is yes. But the painter does much more than that. In fact, it is clear that while the painter must possess quite a large amount of skill in placing paint on canvas, this skill is the least relevant (while absolutely necessary) for the creative process of painting. So it is with mathematics.For mathematical questions about MATLAB; questions purely about the language, syntax, or runtime errors would likely be better received on Stack Overflow. MATLAB is a high-level language and interactive programming environment for numerical computation and visualization developed by MathWorks. Learn more…. What happens when I comment? The following community members will be automatically notified of your comment: the owner of the post you're commenting on. one additional user when your comment contains a @username 1 reply. 1 You can only @reply to users who have already left a comment, or edited the post. The first three non-whitespace characters ... R. geometry. There are exactly four compact manifolds with S2 × R S 2 × R geometry. They are. where M2 M 2 denotes the mapping torus of an orientation reversing isometry of the sphere S2 S 2. RP2 ×S1,M2 R P 2 × S 1, M 2 are both nonorientable. And RP2 ×S1 R P 2 × S 1 has orientable double cover S2 ×S1 S 2 × S 1.President Trump bans travel to Europe for 30 days to combat coronavirus spread. Americans will be allowed to return home. President Donald Trump has ordered a ban on travel from Eu...Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange$\begingroup$ @ParamanandSingh The point of the answer is to show that to 'turn-the-crank' you have to put on your 'abstract hat', and so really, for the $\varepsilon / \delta$ there are cookie cutter solutions - the interested student just has to cross over into mathematical maturity when they are ready.Q&A for people studying math at any level and professionals in related fields Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.10. The Lebesgue integral is a generalization of the usual Riemann integral taught in basic calculus. If the Riemann integral of a function over a set exists then it equals the Lebesgue integral. So the Lebesgue integral of x2 x 2 over [0, 1] is just the old (1/3)13 − (1/3)03.Apr 7, 2014 · Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. How does it work? Meta Mathematics Stack Exchange is the part of the site where users discuss the workings and policies of Mathematics Stack Exchange rather than discussing math itself. It is separated from the main Q&A to reduce noise there while providing a legitimate space for people to ask how and why this site works the way it does. Meta ... Getting credit for something you’ve accomplished can be a struggle in the business world, but with Microsoft PowerPoint, you’ve got multiple options to put your name or your compan...Kiwis can now get paid in crypto, the US securities regulator isn't so sure about bitcoin funds, and news from elsewhere. Kiwis can now get paid in crypto. Bitcoin faces legal unce...Questions tagged [algebraic-geometry] The study of geometric objects defined by polynomial equations, as well as their generalizations: algebraic curves, such as elliptic curves, and more generally algebraic varieties, schemes, etc. Problems under this tag typically involve techniques of abstract algebra or complex-analytic methods. This tag ...As one activist says, “the world has become a village from which Chadians are excluded.” For almost a year now, people across Chad Republic have not been able to access social medi...Does watching Outer Banks on Netflix make you want to book a trip to the place the popular show was inspired by? If you're looking to live out your "Pogue Life" dreams, here are th...History of Science and Mathematics Stack Exchange. Explore our questions. Ask Question. Active 1 Bountied Hot Week Month. 0 votes. 1 answer. 27 views. F = …Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeConsider A $\\Rightarrow$ B, A $\\models$ B, and A $\\vdash$ B. What are some examples contrasting their proper use? For example, give A and B such that A $\\models$ B is true but A $\\Rightarrow$ B is...I am a second year studying math at university, and have taken theoretical linear algebra, group and ring theory, real and complex analysis, and general topology, as well as some miscellaneous technical courses like probability theory, statistical inference, and algorithms. ... $\begingroup$ Recommendations for inquiry-based learning: math ...Limit of a sequence defined by xn + 1 = arctan(sin(xn)) This question involves a sequence xn which is defined as follow: xn + 1 = g(xn) where 0 < x1 < π / 2 and where g(x) = arctan(sin(x)) . Prove that the sequence converges and …We would like to show you a description here but the site won’t allow us.1. This might be useful to notice both on main and on meta: You can use several tabs: such as Newest, Active, Bountied, Unanswered, Frequent. Depending on the choice of tab, you're shown different question. If you choose newest, the name of the user which is displayed is the poster of the question.Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeLaTeX. Mathematics Stack Exchange uses MathJax to render LaTeX syntax. You can use single dollar signs to delimit inline equations, and double dollars for blocks: The equation $ 3x^2 + 5x +1 = 0 $ has the solutions. $$. x_{1,2} = \frac{-5 \pm \sqrt{5^2-12}}{6} $$.Equality case in the Frobenius rank inequality. 3. Rank of the product of 3 matrices. 8. The rank and eigenvalues of the operator T(M) = AM − MA on the space of matrices. 2. On the rank inequality rank(A) + rank(A3) ≥ 2rank(A2) 2. Matrix rank inequality.Ask Question. On standards or conventions specific to mathematics as an academic discipline, and programs that lead to a degree in this field. For regular mathematics questions, visit our sister sites Math Stack Exchange and …Add a comment. 6. There are ways to calculate it, modulo is remainder counting basically. 7 = 2 mod 5 because 7 = 5 ∗ 1 + 2 12 = 2 mod5 because 12 = 5 ∗ 2 + 2 and so on, so if you want to calculate for example 73 = a mod 7 you can do this, that is want to get a, take 73 and continue subtracting 7 until you no longer can. 73 − 7 = 66, 66 ...Proofs for the properties of μ(σ) μ ( σ), the order of ζ(s) ζ ( s) The following is a text from Section 5.1 of Titchmarsh's book The Theory of the Riemann Zeta-Function: For each σ σ we define a number μ(σ) μ ( σ) as the lower bound of numbers ξ ξ such that $... soft-question. proof-explanation. book-recommendation. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeConfusion regarding the nth term in a binomial expansion (positive integral index) The expansion for a binomial is - (a + b)n = ∑n k = 0 (n k)an − kbk But it could also be this (a + b)n = ∑n k = 0 (n k)akbn − k Both of the expansions are correct because the ... binomial-coefficients. binomial-theorem.Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeIn the second case, A ′ is not right invertible, since the last row of A ′ D is completely zero for any D. Therefore A cannot be right invertible, since if AB = I, then A ′ (BC − 1) = CABC − 1 = CC − 1 = I. Conclusion: if A has a right inverse B, we must be in the first case, so A is (two-sided) invertible. P.S.An added note, since the wiki article does not mention it: one can look at ∈ meaning 'is' through the prism of sets representing the common property held by all its elements. e.g. Even = {0,2,4,..} and 'a ∈ Even' can be read as 'a is Even'. Add a comment. 6. ∈ (mathematics) means that it is an element in the set of….You must have a total score of 100 in at least 20 non-community wiki answers to achieve this badge. 14.6k awarded. Silver Badge. You must have a total score of 400 in at least 80 non-community wiki answers to achieve this badge. 2.7k awarded.Dec 15, 2014 · For mathematical questions about MATLAB; questions purely about the language, syntax, or runtime errors would likely be better received on Stack Overflow. MATLAB is a high-level language and interactive programming environment for numerical computation and visualization developed by MathWorks. Learn more…. Mar 3, 2024 · Reputation is a rough measure of: These friendly are an informal way of tracking your reputation within the community on a particular Stack Exchange. Reputation is capped at 200 per day, but remember that bounty awards and accepted answers are immune to this daily reputation cap. We make Stack Overflow and 170+ other community-powered Q&A sites. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeAdd a comment. 12. The square of an expectation is distinct from the expectation of a square; that's what variance is all about. Var(Z) = E(Z2) − E(Z)2. And so the mean of the X-measured variation is distinct from the variation of the X-measured mean. Though they sum to the total variation by no coincidence. E(Var(Y ∣ X)) = = …2. Obviously I'm late to answer this, but I have some recommendations. As for a nice introduction, I can recommend Introduction to Probability and Mathematical Statistics by Bain and Engelhardt or Statistical Inference by Casella and Berger. On a slightly higher level is Mathematical Statistics by Shao. Finally, an older but still …Math.stackexchange
It might be a good idea to say something about the connection between the axiom of choice and the Banach-Tarski paradox. The reason the Banach-Tarski paradox is counterintuitive is that we expect that if you split up a sphere into finitely many pieces, the total "mass" of all the pieces is still the same - so you shouldn't be able to put those …Approach0 is a math-aware search engine. “Math-aware” means you can add math expression (s) as some of your keywords to have search engine help you find similar expressions. Check out here: https://approach0.xyz. To restrict matches to this site paste the string "AND site:math.stackexchange.com" into the search window (this … Many posts at Mathematics Stack Exchange include mathematical notation, written using $\mathrm\LaTeX$ commands surrounded by dollar signs. If you see dollar signs with what appears to be gibberish between them, it just means that MathJax, the math rendering we use, isn't working properly for you. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Many posts at Mathematics Stack Exchange include mathematical notation, written using $\mathrm\LaTeX$ commands surrounded by dollar signs. If you see dollar signs with what appears to be gibberish between them, it just means that MathJax, the math rendering we use, isn't working properly for you. $\begingroup$ @ParamanandSingh The point of the answer is to show that to 'turn-the-crank' you have to put on your 'abstract hat', and so really, for the $\varepsilon / \delta$ there are cookie cutter solutions - the interested student just has to cross over into mathematical maturity when they are ready.Aug 6, 2013 at 17:51. Besides Amzoti's two suggestions, see also the stackexchange question High-level linear algebra book. – Dave L. Renfro. Aug 6, 2013 at 18:07. You could consider reading the relevant sections of Lang's Algebra, Jacobson's Basic Algebra I, II, or, if you're feeling very ambitious, Bourbaki's Algebra. – David.I have one triangle in $3D$ space that I am tracking in a simulation. Between time steps I have the previous normal of the triangle and the current normal of the triangle along with both the current and previous $3D$ vertex positions of the triangles.. Using the normals of the triangular plane I would like to determine a rotation matrix that would align the …Stack Exchange Q&A communities are different. Here's how: Expert communities. Each of our 182 communities is built by people passionate about a focused topic. The right answer. Right on top. Experts like you can vote on posts, so the most helpful answers are easy to find. Share knowledge. Earn trust.The second part, containing problems from the British Mathematical Olympiad, is much more challenging.) _ [Beginner-Intermediate] E. Lozansky and C. Rousseau, Winning solutions, A good introduction to some useful background material from number theory, algebra, and combinatorics, and to problem-solving techniques. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Aside from the mathematical answers provided by others, the computational verification of the Collatz problem is a good exercise for programmers. There are many optimization opportunities (e.g., time-space trade-off using lookup tables, parallelism), many pitfalls (e.g., integer type overflow), possibilities of exploiting various implementation ... Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Some kids just don’t believe math can be fun, so that means it’s up to you to change their minds! Math is essential, but that doesn’t mean it has to be boring. After all, the best ...Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange$\begingroup$ Note that to use this we must have a basis already chosen (to write down matrices) and that our inner product must match the standard dot product in terms of this basis (so that matrix multiplication corresponds to taking inner product of rows of the left matrix with columns of the right matrix). Also, to apply the first comment, the number of …we get for each pair of points : h = b1 a1k − c1 and another reduced equation for the other pair of points would give: h = b2 a2k − c2. Solving above equations , we get : k = a1a2(c1 − c2) (b1a2 − b2a1) Consider the general (implicit) equation that defines a circle, with parameters α, β, γ.Okay, so everyone knows the usual methods of solving integrals, namely u-substitution, integration by parts, partial fractions, trig substitutions, and reduction formulas. But what else is there? E...Solutions to ODE/SDE with singular coefficients dXt = −Xt/tdt + gdWt d X t = − X t / t d t + g d W t. stochastic-processes. differential-equations. stochastic-calculus. …Mar 28, 2014 · Math Stack Exchange's default style uses a light-colored page background, so avoid using light colors for text. Stick to darker colors like maroon, green, blue, and purple, and remember also that 7–10% of men are color-blind and have difficulty distinguishing red and green. Proofs for the properties of μ(σ) μ ( σ), the order of ζ(s) ζ ( s) The following is a text from Section 5.1 of Titchmarsh's book The Theory of the Riemann Zeta-Function: For each σ σ we define a number μ(σ) μ ( σ) as the lower bound of numbers ξ ξ such that $... soft-question. proof-explanation. book-recommendation.5. Please help me understand swapping the bounds of an integral better. I learned that. ∫b a f(x)dx = −∫a b f(x)dx ∫ a b f ( x) d x = − ∫ b a f ( x) d x. Now when I try to visualize this, take sin(x) sin ( x) for example, ∫2π π sin(x)dx ∫ π 2 π sin ( x) d x and −∫π 2π sin(x)dx − ∫ 2 π π sin ( x) d x both give ...In mathematics, the median value is the middle number in a set of sorted numbers. For example, in the set of numbers 10, 11, 13, 15, 16, 23 and 26, the median is 15 because exactly...$\begingroup$ @ParamanandSingh The point of the answer is to show that to 'turn-the-crank' you have to put on your 'abstract hat', and so really, for the $\varepsilon / \delta$ there are cookie cutter solutions - the interested student just has to cross over into mathematical maturity when they are ready.The vertices of a triangle are three random points on a unit circle. The side lengths are a, b, c. Show that P(ab > c) = 12. The vertices of a triangle are three unifomly random points on a unit circle. The side lengths are, in random order, a, b, c . Show that P(ab > c) = 1 2 . The result is strongly suggested by ...France continues to ease restrictions leading up to its June 9 reopening to tourists. Here's what you need to know. The Louvre and Versailles are about to throw open their doors on...Newest Questions - Mathematics Meta Stack Exchange. All Questions. Ask Question. 9,522 questions. Newest. Active. Filter. 2 votes. 0 answers. 95 views. …Mathematics Educators Stack Exchange. Explore our questions. Ask Question. undergraduate-education secondary-education mathematical-pedagogy calculus …Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeCombining these steps, the overall 1-norm projection of a vector x can be written as: y = RT(Proj∞(Rx × √2) ÷ √2) This formula represents the entire process of projecting a vector onto the 1-norm unit ball using rotation and scaling in conjunction with the infinity-norm projection. I've tried this in R2 and it is correct.Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange Many posts at Mathematics Stack Exchange include mathematical notation, written using $\mathrm\LaTeX$ commands surrounded by dollar signs. If you see dollar signs with what appears to be gibberish between them, it just means that MathJax, the math rendering we use, isn't working properly for you. Limit of a sequence defined by xn + 1 = arctan(sin(xn)) This question involves a sequence xn which is defined as follow: xn + 1 = g(xn) where 0 < x1 < π / 2 and where g(x) = arctan(sin(x)) . Prove that the sequence converges and …It might be a good idea to say something about the connection between the axiom of choice and the Banach-Tarski paradox. The reason the Banach-Tarski paradox is counterintuitive is that we expect that if you split up a sphere into finitely many pieces, the total "mass" of all the pieces is still the same - so you shouldn't be able to put those … The proportion of primes where the sum of the digits of the prime is also prime. elementary-number-theory. prime-numbers. arithmetic. NotMath. 185. modified 30 mins ago. 0 votes. 0 answers. Stack Exchange - Wikipedia. Stack Exchange is a network of question-and-answer (Q&A) websites on topics in diverse fields, each site covering a specific topic, …Spain’s Jobandtalent, a digital temp staffing agency startup which operates a dual-sided platform that matches temps with employers needing casual labor in sectors like ecommerce, ... Help to write the domain in a forma correct way. The question is simple: the domain of f(x, y) = ln( xy−−√ + 1) f ( x, y) = ln ( x y + 1) . Now this is just xy ≥ 0 x y ≥ 0, which means either x ≥ 0 x ≥ 0 and y ≥ 0 y ≥ 0 or y ≤ 0 y ≤ 0 and y ≤ 0 y ≤ 0. This is easy to say and ... calculus. analysis. The diverging rate of r1 rn in a p -summable sequence {ri}i ∈ N. ∫R2e − ( x2 + y2) = [∫Re − x2]2, provided the first of these integrals exists. Munkres Analysis on Manifolds. Add a comment. 6. There are ways to calculate it, modulo is remainder counting basically. 7 = 2 mod 5 because 7 = 5 ∗ 1 + 2 12 = 2 mod5 because 12 = 5 ∗ 2 + 2 and so on, so if you want to calculate for example 73 = a mod 7 you can do this, that is want to get a, take 73 and continue subtracting 7 until you no longer can. 73 − 7 = 66, 66 ...Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeThe road to Cardiology fellowship can be a confusing one. Residency, with its breakneck pace and punishingly long hours, is already a Herculean challenge in and of itself. Simply c...n) For n = 0 n = 0 there isn't any number greater then 0 and lesser or equal to n n, so the product is empty; the empty product is defined by convention as 1. It has many reasons. For example, we can have a power series: ex = ∑nxn/n! e x = ∑ n x n / n! and we would like the first term to be 1 1.Apply Stokes theorem on a curve which is intersection of a sphere and plane. Apply Stokes theorem to prove that ∫cydx + zdy + xdz = − 2√2πa2 Where C is the curve given by x2 + y2 + z2 − 2ax − 2ay = 0, x + y = 2a ; and begins at the point (2a,0,0) and it goes first below ... vector-analysis. surface-integrals.The vertices of a triangle are three random points on a unit circle. The side lengths are a, b, c. Show that P(ab > c) = 12. The vertices of a triangle are three unifomly random points on a unit circle. The side lengths are, in random order, a, b, c . Show that P(ab > c) = 1 2 . The result is strongly suggested by ...Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeProve that if p ≡ 7 (mod 8), the solutions to the congruence x2 − 34x + 1 ≡ 0 (mod p) are both quadratic residues modulo p. elementary-number-theory. modular-arithmetic. quadratic-residues. Closed form of ∑ m=0∞ (a)mBp(b+m,c−b)zm m! ∑ m = 0 ∞ ( a) m B p ( b + m, c − b) z m m! with the Incomplete Beta function. This question comes from related “sum of incomplete gamma function” problems. Also,there are many research papers trying to make the Hypergeometric Incomplete. Here is one confluent example from ... Good morning, Quartz readers! Good morning, Quartz readers! South Korea commemorates comfort women. Japan issued a travel advisory warning visitors about anti-Japanese sentiment in...Technically, the answer is yes. But the painter does much more than that. In fact, it is clear that while the painter must possess quite a large amount of skill in placing paint on canvas, this skill is the least relevant (while absolutely necessary) for the creative process of painting. So it is with mathematics.3 Answers. First consider the simplest case where a(x) = a a ( x) = a and b(x) = b b ( x) = b for all x x. Then the Leibniz formula becomes. d dx(∫b a f(x, t)dt) =∫b a ∂ ∂xf(x, t)dx d d x ( ∫ a b f ( x, t) d t) = ∫ a b ∂ ∂ x f ( x, t) d x. i.e. it is reduced to moving the derivative inside the integral. In this special case, the ...I am a second year studying math at university, and have taken theoretical linear algebra, group and ring theory, real and complex analysis, and general topology, as well as some miscellaneous technical courses like probability theory, statistical inference, and algorithms. ... $\begingroup$ Recommendations for inquiry-based learning: math ...France continues to ease restrictions leading up to its June 9 reopening to tourists. Here's what you need to know. The Louvre and Versailles are about to throw open their doors on...About. (Officially John M. Lee.) Professor Emeritus of math at University of Washington, Seattle; author of Introduction to Topological Manifolds, Introduction to Smooth Manifolds, Introduction to Riemannian Manifolds, and Axiomatic Geometry.Stack Exchange Q&A communities are different. Here's how: Expert communities. Each of our 182 communities is built by people passionate about a focused topic. …Three players toss an unfair coin - Give an intuitive explanation of dependent. Three players toss an unfair coin each, independently of each other, with the same probability p = 1/3 that the coin shows heads. Let X = 1 if player #2 gets the same result as player #1 - Call this a ... probability. independence.Total variation distance is a measure for comparing two probability distributions (assuming that these are unit vectors in a finite space- where basis corresponds to the sample space ($\omega$)).I know a distance measure need to obey triangle inequality and it should satisfy that orthogonal vectors have maximum distance and the same …Some kids just don’t believe math can be fun, so that means it’s up to you to change their minds! Math is essential, but that doesn’t mean it has to be boring. After all, the best ...Q&A for those involved in the field of teaching mathematics. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeStack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeEach year, millions of students in India rush to get an admission in universities abroad. Often they don’t know which program they should focus on, or the college that is right for... Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. To search within specific tag (s), enter them in square brackets: [maintenance] seat searches for mentions of "seat" within the [maintenance] tag. To find a specific phrase, enter it in quotes: "flat tire". To limit your search to just the title of a question, use title: followed by the search term. Likewise, search the body only (exclude the ... In page 92, of Serre's book "Lie algebras and Lie groups" Springer LNM 1500, there is a criterion for X/R X / R to be a manifold, which is named after Godement and says the following. The quotient X/R X / R is a manifold if and only if. 1, R R is a sub manifold of X × X X × X (which means R → X × X R → X × X is a closed embedding), and. The diverging rate of r1 rn in a p -summable sequence {ri}i ∈ N. ∫R2e − ( x2 + y2) = [∫Re − x2]2, provided the first of these integrals exists. Munkres Analysis on Manifolds. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange$\begingroup$ @Om3ga Incidentally, there are at least three different Discord servers of significant size "called 'Mathematics' where people can ask for help to certain questions.", in addition to others not named "Mathematics" (e.g. general STEM help servers - advanced math servers - subject-area-specific servers - servers for math people at a ...we get for each pair of points : h = b1 a1k − c1 and another reduced equation for the other pair of points would give: h = b2 a2k − c2. Solving above equations , we get : k = a1a2(c1 − c2) (b1a2 − b2a1) Consider the general (implicit) equation that defines a circle, with parameters α, β, γ.President Trump bans travel to Europe for 30 days to combat coronavirus spread. Americans will be allowed to return home. President Donald Trump has ordered a ban on travel from Eu...Parameterisation that enforces positivity of linear combination of projections. I have a set of n vectors that form a basis for a subspace, vi. Suppose I take a linear combination w = ∑n i = 0viαi, αi ∈ R such that for a set of vectors, $... linear-algebra. vector-spaces.The first derivative is f ′ (x) = ex − 1 − 1 and the second derivative is f ″ (x) = ex − 1. f is convex everywhere because f ″ (x) > 0, and has a minimum at x = 1. Therefore x ≤ ex − 1 for all x, and the equation is only equal when x = 1. Using this inequality we get. x1 a x2 a ⋯xn a ≤ ex1 a − 1ex2 a − 1⋯exn a − 1.n) For n = 0 n = 0 there isn't any number greater then 0 and lesser or equal to n n, so the product is empty; the empty product is defined by convention as 1. It has many reasons. For example, we can have a power series: ex = ∑nxn/n! e x = ∑ n x n / n! and we would like the first term to be 1 1.Are you looking for a fun and interactive way to improve your mathematical skills? Look no further than free online math games. These games not only make learning math enjoyable, b...Mathematics Educators Stack Exchange. Explore our questions. Ask Question. undergraduate-education secondary-education mathematical-pedagogy calculus …It might be a good idea to say something about the connection between the axiom of choice and the Banach-Tarski paradox. The reason the Banach-Tarski paradox is counterintuitive is that we expect that if you split up a sphere into finitely many pieces, the total "mass" of all the pieces is still the same - so you shouldn't be able to put those …. Badminton ct