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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.

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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 ... 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 ExchangeWhether you’re a teacher in a school district, a parent of preschool or homeschooled children or just someone who loves to learn, you know the secret to learning anything — particu... 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. 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...

Revatio (Oral) received an overall rating of 7 out of 10 stars from 4 reviews. See what others have said about Revatio (Oral), including the effectiveness, ease of use and side eff...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 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.

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….

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 …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 Meta Stack Exchange. Top Questions. Ask Question. Active Hot Week Month. 124 votes. 17 answers. 21k views. Sandbox for drafts of long, complex …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.

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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. In a nutshell, conditional independence means that joint distributions are simpler than they ...

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 ′ …There cannot be explicit algebraic formulas for the general solutions to higher-degree polynomials, but proving this requires mathematics beyond precalculus (it is typically proved with Galois Theory now, though it was originally proved with other methods). This fact is known as the Abel-Ruffini theorem.3 Answers. Sorted by: 376. The two sites are meant for very different audiences, and have very different types of questions. From the MathOverflow …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...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. 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.

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.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 ...Find the center of all circles that touch the x -axis and a circle centered at the origin. Given a circle C of radius 1 centered at the origin, I want to determine the locus of the centers of all circles that touch C and the x -axis. This is the red curve in the following Desmos ... geometry. inverse-function. locus.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.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 ...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.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...

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.

3 Answers. Sorted by: 376. The two sites are meant for very different audiences, and have very different types of questions. From the MathOverflow …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 ... 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 ... 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. 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...$\begingroup$ @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.4 Answers. A classical theoretical book on ODE is Hartman. A very good book, and slightly less demanding than Hartman is Hale's book. A geometric picture of differential equations is given in two Arnold's books: one and two. ODE from a dynamical system theory point of view are presented in Wiggins' book.

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.

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.

In mathematics, inequalities are a set of five symbols used to demonstrate instances where one value is not the same as another value. The five symbols are described as “not equal ...Leopard's new and improved iChat boasts two features that are sure to enhance both workplace productivity and friends and family tech support: screen sharing and document sharing. ...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.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 ... In mathematics, inequalities are a set of five symbols used to demonstrate instances where one value is not the same as another value. The five symbols are described as “not equal ...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 ExchangeSorted 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".Torsion group over Q of Y2 = X3 + DX for D ≡ 2 (mod 3). Let D ∈ N with D ≡ 2 (mod3). Describe the torsion group over Q of the elliptic curve Y2 = X3 + DX. Idea: Firstly we recall that for an ... number-theory. elementary-number-theory. elliptic-curves. algebraic-curves. 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.

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 ... 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. 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. …Instagram:https://instagram. how do nuclear power plants worknon stick pan stickingbest burger in phoenixweb development training 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. best pdf editorsaltig Reducing an inseparable polynomial over the same field to a separable polynomial over a field. Description: Let F be a field and p(x) a polynomial over F with multiple roots. Show that there is a polynomial q(x) over F whose distinct roots are the same as the distinct roots of p(x), ... polynomials. field-theory. 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. purple hair on dark hair 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 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.