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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.

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 a 2 + b 2 = c 2 for my exam preparation is very specific to your personal situation.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 ...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) = 1 2. probability. integration. definite-integrals. intuition. geometric-probability. Dan. 21.5k.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 ...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.Definition 1: Let f(x) f ( x) be defined on an interval that contains x = a x = a. Then we say that, limx→a f(x) = L lim x → a f ( x) = L. if for every number ϵ ϵ there is some number λ λ such that. |f(x) − L| < ϵ whenever 0 <|x − a| < λ. | f ( x) − L | < ϵ whenever 0 < | x − a | < λ. I understand what this theorem is trying ...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 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. 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 = …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….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 …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

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 …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...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. 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. 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, …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….

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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, ...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. – … 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. 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. ...Confusion 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.

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.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 …Consider 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...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. $$. x_{1,2} = \frac{-5 \pm \sqrt{5^2-12}}{6} $$.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.Whether 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... Mathematics Educators Stack Exchange. Explore our questions. Ask Question. undergraduate-education secondary-education mathematical-pedagogy calculus reference-request algebra textbooks geometry proofs primary-education more tags. Active Hot Week Month. 0 votes. 0 answers. 7 views. 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 …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.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...

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...

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. 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".We would like to show you a description here but the site won’t allow us.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 ExchangeIt 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 … 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. 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. 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. Topology (Undergraduate Texts in Mathematics) K. Jänich (Author), S. Levy (Translator) I should have also noted that many undergraduate students find the transition to these subjects difficult and they want to see and do problems. It doesn't hurt to make these two also available because cost is very reasonable.

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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.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.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. 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 knowledge, and build their careers.. Visit Stack ExchangeIt has always been difficult for me to connect the linguistic sense of the terms "necessary" and "sufficient" with mathematics. However, with practice with the following table, this skill becomes automatic. I'm assuming you understand the meaning of the implication. In any case it is helpfull to think about simple example when looking at this ...3 Answers. Sorted by: 376. The two sites are meant for very different audiences, and have very different types of questions. From the MathOverflow …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 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. 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...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 ′ …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. 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. – …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…. 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 call from Consumer Reports is a more aggressive one than the CDC is making, as the second E. coli scare linked to lettuce this year spreads across the US. A major US consumer w...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... Math.stackexchange, [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1]