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19. As a side comment, you should not cite this particular stackexchange answer unless you have a really good reason to cite it specifically. This is a standard topic in combinatorics ("compositions of n into k parts"), and it can be found in lots of textbooks. For example, it's in Section 1.2 of Stanley's Enumerative Combinatorics volume 1, as ...FAQ for math.stackexchange. Right now, the faq only contains the boilerplate explanations of the stackoverflow engine, reputation levels, etc. This page serves as an index of other important support questions for the community. Please post each faq as a separate answer, and as community wiki so we can collaboratively edit the faq.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.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...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

By contrast, the current top response since 2012 on math.stackexchange correctly solves a different problem, in particular the prior probability of winning if you commit to switching regardless of which door Monty opens. What that response is missing is an argument connecting the posterior (conditional) probability to the prior.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.

21. I am pursuing mathematics through distance education and I find that it takes me a long time to understand the concepts (e.g. sigma fields, …

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. 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. 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 ExchangeQ&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.

let 𝛼𝑖 + 𝑗 and 𝑖 − 2𝛼𝑗 be the position vectors of two points 𝐴 and 𝐵 [closed] Let 𝛼 > 0 and in the usual notation, let 𝛼𝑖 + 𝑗 and 𝑖 − 2𝛼𝑗 be the position vectors of two points 𝐴 and 𝐵, respectively, with respect to a fixed origin O. Also, let C be the point on AB ... vectors. marry. 19.

the quality and relevancy of your questions and answers. These friendly reputation leagues 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. Rep …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 ExchangeSaving 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...An addition to Martin Scharrer's answer. \textcolor has a side effect in math, that the contents is put in curly braces (see definition of \@textcolor).The color implementation of package color is based on groups (the color is restored at the end of the group automatically), but curly braces also make a subformula in math. This affects the …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...

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…. The algebraic degree of a particular sum of algebraic numbers. Let p p be a prime number and let m m be a positive integer. We know that β:=p−1/m β := p − 1 / m is an m m -degree algebraic number (in fact, its minimal polynomial is pXm − 1 p X m − 1 ). I would like to prove that ... number-theory. 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 ... This site is for discussion about Mathematics Stack Exchange. You must have an account there to participate. Help. Visit chat. Related. 4015. MathJax basic tutorial and quick reference. 14. Mathjax 2.1 beta. 2. New Line without Space Afterwards. 5. How to indent text and make indents. 18.34. 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.Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …Mathematics Stack Exchange. Help center. Our model. How can I format mathematics here? Many posts at Mathematics Stack Exchange include …

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...

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 ExchangeEquality 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.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 ExchangeMathJax basic tutorial and quick reference - Mathematics Meta Stack Exchange. Ask Question. Asked 11 years, 6 months ago. Modified 13 days ago. … 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 ... Understanding predicates and quantifiers ∀ , ∃ (my reasoning) So lets say we are trying to figure out if: P (x, y) is the predicate of x2 < y as defined for x, y ∈ Z. This means using quantifiers: ∀ and ∃, I can logically say: 1. ∀x∃y of P (x,y) is ... discrete-mathematics. logic. first-order-logic. quantifiers. coolcat.

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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.. Visit Stack ExchangeThe two equations simplify to x2 + y2 = r21 and (x − d)2 + y2 = r22 Use the first to find y2 and substitute in the second. (x − d)2 + r21 − x2 = r22 expand and simplify − 2xd + d2 + r21 = r22 so the points of intersections are (x, y), (x, − y) with x = r21 − r22 + d2 2d and from Pythagorus y = √r21 − x2. This part came from ...Paper published in the February 2013 issue of Mathematics Magazine. December 2011: TEX T E X support for chat is introduced by robjohn. January 2012: Math.SE becomes the first SE 2.0 site with a 100K user ( Arturo Magidin ), excluding Stack Overflow. August 2012: 100000th 100000 t h answer posted.$\begingroup$ @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 ...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 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 algebraic degree of a particular sum of algebraic numbers. Let p p be a prime number and let m m be a positive integer. We know that β:=p−1/m β := p − 1 / m is an m m -degree algebraic number (in fact, its minimal polynomial is pXm − 1 p X m − 1 ). I would like to prove that ... number-theory.In any case, I think the problem with your proof (at least with your geodesic argument), is that the exponential map, while it is a local diffeomorphisme on some neighborhood of $0_{\mathfrak g}$, isn't necessarily a local diffeomorphism near all points of $\mathfrak g$.A cluster in math is when data is clustered or assembled around one particular value. An example of a cluster would be the values 2, 8, 9, 9.5, 10, 11 and 14, in which there is a c...

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. 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 ExchangeAbout. (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. Find a positive integer n n, m m, p p, q q ( p ≠ q p ≠ q, m > 1 m > 1) such that p p and q q divide mn2 − 1 m n 2 − 1 and mn m n divides p − q p − q. modular-arithmetic. arithmetic. Etanche. 310. modified 2 hours ago. 1 vote. Instagram:https://instagram. video wall tvaffordable denver hotelsgetting a permhow much is it to get cremated A very beautiful introduction to algebraic geometry is the book "Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra" in the Springer undergraduate texts in mathematics series. (It only requires basic abstract algebra as a prerequisite). The second "half" of Munkres' 2000 Topology ...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 ... solid wood bathroom vanitiesbasking ridge restaurants 1 answer. 10 views. Minimum k k for which every positive integer of the interval (kn, (k + 1)n) ( k n, ( k + 1) n) is composite. number-theory. prime-numbers. prime …$\begingroup$ @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 ... blue moon beer flavors Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their … 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.