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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.
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. President Trump bans travel to Europe for 30 days to combat coronavirus spread. Americans will be allowed to return home. President Donald Trump has ordered a ban on travel from Eu...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.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 ...
The road to Cardiology fellowship can be a confusing one. Residency, with its breakneck pace and punishingly long hours, is already a Herculean challenge in and of itself. Simply c...The largest operator of Boeing 737 MAX aircraft in the US announced Thursday that the plane would remain off its schedule through September. Southwest Airlines, the largest operato... 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 …
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.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 ...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 …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.
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 ...
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Jun 14, 2023 · She holds a master's degree in science journalism from Columbia University's Graduate School of Journalism and is also a graduate of New York University's Tisch School of the Arts. More by Carin ... 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. 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 ...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 ...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 …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. 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. …
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 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 ... 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 …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 …
44. This question is inspired by the popular "Best Sets of Lecture Notes and Articles". Indeed, I would like to collect a "big-list" of open source (that is, with LATEX L A T E X code available) high-quality (according to strictly mathematical and pedagogical standard) lecture notes or textbooks on as many mathematical topics as possible.
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.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.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 ...44. This question is inspired by the popular "Best Sets of Lecture Notes and Articles". Indeed, I would like to collect a "big-list" of open source (that is, with LATEX L A T E X code available) high-quality (according to strictly mathematical and pedagogical standard) lecture notes or textbooks on as many mathematical topics as possible.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.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 ExchangeThere 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 …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 ...
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.
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.
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. 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 $\mathfrak g$.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.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? Welcome to Mathematics Stack Exchange. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's built and run by you as part of the Stack Exchange network of Q&A sites. With your help, we're working together to build a library of detailed answers to every question ... 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. Questions tagged [mathematics] Ask Question. On standards or conventions specific to mathematics as an academic discipline, and programs that lead to a degree in …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.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 ...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.. Visit Stack ExchangeSome 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 ...$\begingroup$ I don't find this graphical example helpful in explaining the Fourier Transform. If anything, it is going to add to existing confusion people have with the Fourier Series. The sin and cos expression shown is too general to be meaningful, and the graphic shown for the "transform" is really just a visualization of the magnitudes of 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 ExchangeInstagram:https://instagram. new orleans pet friendly hotelsinfluencerssgonewildtrim pubic hairfree cdl training in texas Technically, the answer is yes. But the painter does much more than that. In fact, it is clear that while the painter must possess quite a large amount of skill in placing paint on canvas, this skill is the least relevant (while absolutely necessary) for the creative process of painting. So it is with mathematics.For mathematical questions about MATLAB; questions purely about the language, syntax, or runtime errors would likely be better received on Stack Overflow. MATLAB is a high-level language and interactive programming environment for numerical computation and visualization developed by MathWorks. Learn more…. inexpensive sofasstream ravens game MathJax basic tutorial and quick reference - Mathematics Meta Stack Exchange. Ask Question. Asked 11 years, 6 months ago. Modified 13 days ago. …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 ... yellowstone to grand teton Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Stack Exchange 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. 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.