^{2024 Math.stackexchange - 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.} ^{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 ExchangeThe 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.I am very interested in mathematics, particularly mathematical physics, but I currently do not have access to an institution or any professors. ... You can also look on Math StackExchange (e.g., questions with the [book-recommendation] tag) for recommendations about books for either your particular interests, problem solving, proof … 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. 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. 27.15. 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 ...Add 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)) = = …Add 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)) = = …There are many branches of mathematics and each branch has its main vocabularies. For example, in number theory, one's main vocabulary is an "integer". Just like this, "openness" is a main vocabulary in general topology. (The question of asking why openness is a main vocabulary is a completely different question and this is well … Jul 9, 2013 at 16:12. @JackM if you are searching for a2 +b2 =c2 a 2 + b 2 = c 2 the Uniquation seems to also get you x2 +y2 =z2 x 2 + y 2 = z 2 and the equivalents. So searching a formula becomes a tricky search for a concept. – Maesumi. Jul 9, 2013 at 21:18. 1. $\begingroup$ FYI, you can do something similar to "explain" the Chain Rule: Define a space curve by < f(t), h(t), t > where h(t) = g(f(t)), and (assuming it makes sense) let its tangent vector be < a, b, 1 > (with a != 0). The zx-graph is x = f(z), with slope-of-tangent-line dx/dz = a/1 = a; the zy-graph is y = h(z), with tangent slope dy/dz = b/1 = b; the bridging …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 ExchangeUnderstanding 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.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 ...Sep 11, 2016 · 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 removes AoPS ... 1. I definitely agree with the advice of "coming up with your own exercises". It is certainly the best way to learn mathematics. Let me also add the advice of "coming up with your own proofs of results in the text". If you find it difficult to come up with your own exercises, then it is also a good idea to search online or look at many ... This question is only concerned with a proof of the dimension formula using the Coquand-Lombardi characterization below. If you post something that doesn't ... ring-theory. commutative-algebra. noetherian. krull-dimension. dimension-theory-algebra. Martin Brandenburg. 163k. 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 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 Exchange 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. 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 ... 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 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 ExchangeThree 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.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 asking this in the math stack exchange because ... calculus; integration; maple; electromagnetism; xoux. 4,845; asked May 10, 2023 at 20:21-1 votes. 2 answers. 82 views. How to use Maple to eliminate parameters in surface vector equation to obtain equation in Cartesian coordinates?I have a hazy notion of some stuff in differential geometry and a better, but still not quite rigorous understanding of basics of differential topology. I have decided to fix this lacuna once for all.... differential-geometry. reference-request. differential-topology. book-recommendation. Harddaysknight. 2,271.2 Answers. To be separable means to have a countable dense subset. Suppose that (M, d) is a metric space and that U ⊆ M be an uncountable subset and r > 0. Suppose that for all x ≠ y ∈ U, d(x, y) ≥ r. Let C be any countable subset of M. Then C can only meet a countable number of the balls Br / 2(x) for x ∈ U.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 ...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 …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 Exchange 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. 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 …As with many mathematical concepts, there are slight variations in how they are defined. Some authors require that all rings have an identity, and describe what we called a ring a rng (the omission of the letter i signals that it is unnecessary for there to be an identity).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$\approx$ is used mostly for the approximate (read: calculated) value of a mathematical expression like $\pi \approx 3.14$ In LaTeX it is coded as \approx. $\cong$ is used to show a congruency between two mathematical expressions, which could be geometrical, topological, and when using modulo arithmetic you can get different numbers that are …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.Apr 13, 2017 · 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 elementary math questions. If not, you should post your attempted solutions online on, say, math.stackexchange or r/learnmath for feedback. In general, effective learning cannot occur when the only thing you do is absorb information. You must practice using that information--memorization becomes the side effect.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. An inner product space is a vector space for which the inner product is defined. The inner product is also known as the 'dot product' for 2D or 3D Euclidean space. An arbitrary number of inner products can be defined according to three rules, though most are a lot less intuitive/practical than the Euclidean (dot) product.2. It's simple to discover determinants just by solving Ax = b by hand, using high school algebra, in the case where A is 2 × 2 or 3 × 3. You immediately see that the system can be solved for any choice of b if the determinant is nonzero (because you will try to divide by the determinant). It's so easy.Advertisement While in prison, cons are subject to the rules set by prison officials. If a con commits an infraction, he gets a hearing before the warden or some lower ranking offi...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. LaTeX. 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. $$. x_{1,2} = \frac{-5 \pm \sqrt{5^2-12}}{6} $$. What does mathematical logic mean?. In the book Analysis 1 by Terence Tao, it says:. The purpose of this appendix is to give a quick introduction to mathematical logic, which is the language one uses to conduct rigourous mathematical proofs. Checking Wikipedia:. Mathematical logic is often divided into the fields of set theory, model …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 ExchangeA mathematical sentence combines two expressions with a comparison operator to create a fact that may be either true or false. A mathematical sentence makes a statement about the r...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...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 ...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.$\begingroup$ @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.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.$\begingroup$ @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 ...I have coordinates of 3d triangle and I need to calculate its area. I know how to do it in 2D, but don't know how to calculate area in 3d. I have developed data as follows. (119.91227722167969, 122.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….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 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... 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. 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.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...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 Exchange3 Answers. Sorted by: 376. The two sites are meant for very different audiences, and have very different types of questions. From the MathOverflow …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.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 ...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 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. 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...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, ...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. 27.51. StackOverflow has quite the reputation as a toxic site, mostly for being unwelcoming to new users. But what's MathSE's general reputation? For users …The 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 ...Solving a second order differential question where one solution is known. Problem: Given that y = e2x is a solution of (2x + 1)y ″ − 4(x + 1)y + 4y = 0 find a linearly independent solution by reducing the order. Write the general solution. Answer: Let y = e2xv. ... ordinary-differential-equations. Bob.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 ExchangeWe read it so that you don't have to. The first US government to be led by a full-time businessman with no political background is being run like a terrible business overruled by i...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. 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 ... 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. …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.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 ExchangeSolutions 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. …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.1. I definitely agree with the advice of "coming up with your own exercises". It is certainly the best way to learn mathematics. Let me also add the advice of "coming up with your own proofs of results in the text". If you find it difficult to come up with your own exercises, then it is also a good idea to search online or look at many ...Mathematics Educators Stack Exchange. Explore our questions. Ask Question. undergraduate-education secondary-education mathematical-pedagogy calculus …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 … A set of lines, each of which intersect the others, are either coplanar or share a single common point. geometry. solution-verification. induction. euclidean-geometry. solid-geometry. Anne Bauval. 33.2k. modified 24 mins ago. Accessing an array element is O(1) like in a regular array. Just to point out a small detail - initialize the array A (of length 2n^3) so A [i] = 0 in constant time. Now: for all pairs 0 < a < b < n do: A [a^3 + b^3] = A [a^3 + b^3] + 1 and if A [a^3 + b^3] == 2 then print a^3 + b^3.Best dog food for shepherds, How to add signature line in word, Sell pallets, Legacy north apartments in plano texas, Starbucks birthday drink, Build redux review, Suitshop reviews, Cardamaro, Theater chairs for home, Sunday stuff to do, Pork tenderloin smoker recipe, Samsung cloud storage, Cotco travel, Fannie may s'mores snack mixThe 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.. Plug in hybrid lexus rxtree removal costsStack 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 ExchangePaper 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.Mathematics Educators Stack Exchange. Explore our questions. Ask Question. undergraduate-education secondary-education mathematical-pedagogy calculus …Sep 16, 2021 at 16:58. Show 3 more comments. 59. The Fourier transform of the derivative is (see, for instance, Wikipedia ) F(f ′)(ξ) = 2πiξ ⋅ F(f)(ξ). Why? Use integration by parts: u = e − 2πiξt dv = f ′ (t)dt du = − 2πiξe − 2πiξtdt v = f(t) This yields F(f ′)(ξ) = ∫∞ − ∞e − 2πiξtf ′ …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 ExchangeGetting 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...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.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...Peter Winkler included this problem in his puzzle collection Mathematical Puzzles (2020), and gave the following very elegant solution, which I quote below: Since the probability of seeing HHHHH in a particular series of five coin flips is $1/32$, you might think it would take $32$ flips on average to get HHHHH. A set of lines, each of which intersect the others, are either coplanar or share a single common point. geometry. solution-verification. induction. euclidean-geometry. solid-geometry. Anne Bauval. 33.2k. modified 24 mins ago. 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. 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 ExchangeMathematics Stack Exchange is moderated by you. Review queues contain posts (also known as review tasks) that might need community attention, as determined by the system or other community users. You see posts one at a time so that you can evaluate what, if any, action is needed.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.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, ...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.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 ...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 ...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 ExchangeMathOverflow 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 …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...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.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.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. I have coordinates of 3d triangle and I need to calculate its area. I know how to do it in 2D, but don't know how to calculate area in 3d. I have developed data as follows. (119.91227722167969, 122. A set of lines, each of which intersect the others, are either coplanar or share a single common point. geometry. solution-verification. induction. euclidean-geometry. solid-geometry. Anne Bauval. 33.2k. modified 24 mins ago. 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 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. 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. 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... 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. 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. Questions on advanced topics - beyond those in typical introductory courses: higher degree algebraic number and function fields, Diophantine equations, geometry of numbers / lattices, quadratic forms, discontinuous groups and and automorphic forms, Diophantine approximation, transcendental numbers, elliptic curves and arithmetic algebraic geometry, exponential and character sums, Zeta and L ... 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...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.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 ...Mathematics Stack Exchange. Explore our questions. Ask Question. Interesting 41 Bountied Hot Week Month. 0 votes. 0 answers. 3 views. Show that the function is …Each 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...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, ...StackOverflow has quite the reputation as a toxic site, mostly for being unwelcoming to new users.But what's MathSE's general reputation? For users who are teachers, have you heard any of your students' opinions of this site? For users who work in a math/tech/science job, how do your colleagues feel about this site?Sorted by: 30. For my work in this area, I refer to: Richard Epstein "Classical Mathematical Logic". Wolfgang Rautenberg "A Concise Introduction to Mathematical Logic". Jon Barwise "Handbook of Mathematical Logic". Jean Heijenoort "From Frege to Gödel". Wei Li "Mathematical Logic: Foundations for Information Science". 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 ... 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. StackOverflow has quite the reputation as a toxic site, mostly for being unwelcoming to new users.But what's MathSE's general reputation? For users who are teachers, have you heard any of your students' opinions of this site? For users who work in a math/tech/science job, how do your colleagues feel about this site?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.Make your title interesting for others. Mathematics.SE is designed to be a repository of good mathematical questions and answers. Thus, there is no need to refer to your personal situation in the title. Make your title a question of universal value. For example, the title Help me solve a2 + b2 = c2 for my exam preparation is very specific to ...We would like to show you a description here but the site won’t allow us.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.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 …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 …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.I think a great book for doing calculus problems that may prepare you for the Putnam is Titu Andreescu's book- "Problems in Real Analysis: Advanced Calculus on the Real Line". Andreescu's texts are known to be useful in preparing students for mathematics competitions. In this textbook, Andreescu exposes you to a lot of techniques (especially …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 asking this in the math stack exchange because ... calculus; integration; maple; electromagnetism; xoux. 4,845; asked May 10, 2023 at 20:21-1 votes. 2 answers. 82 views. How to use Maple to eliminate parameters in surface vector equation to obtain equation in Cartesian coordinates?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 …In 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.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. 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 ... Questions tagged [mathematics] Ask Question. On standards or conventions specific to mathematics as an academic discipline, and programs that lead to a degree in … Newest Questions - Mathematics Meta Stack Exchange. All Questions. Ask Question. 9,522 questions. Newest. Active. Filter. 2 votes. 0 answers. 95 views. Was the style of the up/down-vote arrows changed? I noticed that the style of the up/down-votes button has changed (for me at least). This question is only concerned with a proof of the dimension formula using the Coquand-Lombardi characterization below. If you post something that doesn't ... ring-theory. commutative-algebra. noetherian. krull-dimension. dimension-theory-algebra. Martin Brandenburg. 163k. 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. 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. Mathematics Meta Stack Exchange. Top Questions. Ask Question. Active Hot Week Month. 124 votes. 17 answers. 21k views. Sandbox for drafts of long, complex …Math.StackExchange Math.StackExchange. 1,197 1 1 gold badge 8 8 silver badges 18 18 bronze badges. 5. 7. Is your first sentence saying that your university 1) is a small liberal arts college, 2) is one of the top 15 universities in the country, and 3) does not have a strong mathematics or physics department? I don't think all three of these … 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. I am asking this in the math stack exchange because ... calculus; integration; maple; electromagnetism; xoux. 4,845; asked May 10, 2023 at 20:21-1 votes. 2 answers. 82 views. How to use Maple to eliminate parameters in surface vector equation to obtain equation in Cartesian coordinates?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 …P ( 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. 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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 ExchangeApproach0 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 …We read it so that you don't have to. The first US government to be led by a full-time businessman with no political background is being run like a terrible business overruled by i.... 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