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.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.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 …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.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.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.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. 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. Prove that if p ≡ 7 (mod 8), the solutions to the congruence x2 − 34x + 1 ≡ 0 (mod p) are both quadratic residues modulo p. elementary-number-theory. modular-arithmetic. quadratic-residues.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 …Emily Riehl's recently published book Category theory in context is a fantastic introductory text for those interested in seeing lots of examples of where category theory arises in various mathematical disciplines. Understand the examples from other branches of mathematics requires some mathematical maturity (e.g., a bit of exposure …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….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….Kiwis can now get paid in crypto, the US securities regulator isn't so sure about bitcoin funds, and news from elsewhere. Kiwis can now get paid in crypto. Bitcoin faces legal unce...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.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.Emily Riehl's recently published book Category theory in context is a fantastic introductory text for those interested in seeing lots of examples of where category theory arises in various mathematical disciplines. Understand the examples from other branches of mathematics requires some mathematical maturity (e.g., a bit of exposure …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.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 ExchangeIf 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.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.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 … 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. 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 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. 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 …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. 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. Showing that for every acute angle x x in a right triangle 1sin x + 1cos x ≥ 2 2–√ 1 sin x + 1 cos x ≥ 2 2 is always true. inequality. trigonometry. Rezha Adrian Tanuharja. 11.9k. answered Mar 1 at 4:06. 2 votes. We would like to show you a description here but the site won’t allow us.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.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...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 ...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 …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 ExchangeProve that if p ≡ 7 (mod 8), the solutions to the congruence x2 − 34x + 1 ≡ 0 (mod p) are both quadratic residues modulo p. elementary-number-theory. modular-arithmetic. quadratic-residues.$\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 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.The short answer is: 'This is the definition, live with it!' While that may sound haughty, it emphasizes the principle that in math we occasionally need to define a precise meaning to a word, and natural languages may fall short in providing a suitable one, so it is up to us the users of math to absorb a possibly new meaning.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. …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?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.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... 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. 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 ExchangeYou 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.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...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...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...Equality case in the Frobenius rank inequality. 3. Rank of the product of 3 matrices. 8. The rank and eigenvalues of the operator T(M) = AM − MA on the space of matrices. 2. On the rank inequality rank(A) + rank(A3) ≥ 2rank(A2) 2. Matrix rank inequality.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. 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. 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.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.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.How do you know when to replace a furnace? Check out this guide to learn how to see the writing on the wall that your furnace might be failing. Expert Advice On Improving Your Home...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 …Kiwis can now get paid in crypto, the US securities regulator isn't so sure about bitcoin funds, and news from elsewhere. Kiwis can now get paid in crypto. Bitcoin faces legal unce...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...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 ...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 ...This site is for discussion about Mathematics Stack Exchange. You must have an account there to participate. Help. Visit chat. Related. 4015. MathJax basic tutorial and quick reference. 14. Mathjax 2.1 beta. 2. New Line without Space Afterwards. 5. How to indent text and make indents. 18.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. This tag is for questions that are asking for online resources in mathematics (references, dictionaries, encyclopaedic collections, online tools, videos and lectures, etc), or asking about the mathematics behind tools and technology found on the internet. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack 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 …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. 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. 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.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.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.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.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.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. 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. let 𝛼𝑖 + 𝑗 and 𝑖 − 2𝛼𝑗 be the position vectors of two points 𝐴 and 𝐵 [closed] Let 𝛼 > 0 and in the usual notation, let 𝛼𝑖 + 𝑗 and 𝑖 − 2𝛼𝑗 be the position vectors of two points 𝐴 and 𝐵, respectively, with respect to a fixed origin O. Also, let C be the point on AB ... vectors. marry. 19.
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. $$. x_{1,2} = \frac{-5 \pm \sqrt{5^2-12}}{6} $$. . Car service to newark airport
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 ...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 …I received this question from my mathematics professor as a leisure-time logic quiz, and although I thought I answered it right, he denied. Can someone explain the reasoning behind the correct solution? Which answer in this list is the correct answer to this question? All of the below. None of the below. All of the above. One of the above. 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 ... 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 = …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.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 ... 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 ... How do you know when to replace a furnace? Check out this guide to learn how to see the writing on the wall that your furnace might be failing. Expert Advice On Improving Your Home...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 …$\approx$ 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 …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 ...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 ′ …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 ….