Math.stackexchange - 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.

 
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.. Cvs receipt

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...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.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 Exchange21. 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, … 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 ExchangeTopology (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.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 ...Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their … 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 ... the quality and relevancy of your questions and answers. These friendly reputation leagues 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. Rep … 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. 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...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. 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 …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, …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 Exchange21. 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, …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 …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.$\begingroup$ @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 ...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 = …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 ...$\begingroup$ 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 …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.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)) = = …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.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 ...$\approx$ 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 … 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. Mathematics Stack Exchange. Help center. Our model. How can I format mathematics here? Many posts at Mathematics Stack Exchange include …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 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.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. 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, $... linear-algebra. vector-spaces. Saving for retirement can be difficult in the best of times, but even harder during a pandemic and challenging economy. An underutilized tax credit… April 14, 2021 • By Catherine C... Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. 10. The Lebesgue integral is a generalization of the usual Riemann integral taught in basic calculus. If the Riemann integral of a function over a set exists then it equals the Lebesgue integral. So the Lebesgue integral of x2 x 2 over [0, 1] is just the old (1/3)13 − (1/3)03.Ask Question. On standards or conventions specific to mathematics as an academic discipline, and programs that lead to a degree in this field. For regular mathematics questions, visit our sister sites Math Stack Exchange and …$\begingroup$ Note that to use this we must have a basis already chosen (to write down matrices) and that our inner product must match the standard dot product in terms of this basis (so that matrix multiplication corresponds to taking inner product of rows of the left matrix with columns of the right matrix). Also, to apply the first comment, the number of …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 Q&A communities are different. Here's how: Expert communities. Each of our 182 communities is built by people passionate about a focused topic. …Is there a bijection of Rn with itself such that the forward map is connected but the inverse is not? Let (X, τ), (Y, σ) be two topological spaces. We say that a map f: P(X) →P(Y) between their power sets is connected if for every S ⊂ X connected, f(S) ⊂ Y ... general-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. 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. 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 ...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 A brief guide to markdown can be found by clicking the question mark above the text box for writing questions or answers: In addition to markdown, many html tags are supported. You know, that page doesn't mention the [La]TeX (like) syntax support. That would probably be a good thing to add... 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 ...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. Help to write the domain in a forma correct way. The question is simple: the domain of f(x, y) = ln( xy−−√ + 1) f ( x, y) = ln ( x y + 1) . Now this is just xy ≥ 0 x y ≥ 0, which means either x ≥ 0 x ≥ 0 and y ≥ 0 y ≥ 0 or y ≤ 0 y ≤ 0 and y ≤ 0 y ≤ 0. This is easy to say and ... calculus. analysis. 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.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.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... 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 ... Mathematics Stack Exchange. Help center. Asking. What topics can I ask about here? What to ask here. Mathematics Stack Exchange is for people studying …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 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.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.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 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 ExchangeEmily 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 …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.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. 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. 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. 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.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...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. 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 ... 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 …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.Dec 15, 2014 · 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…. 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. ...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...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...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, ...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 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 ... 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. Help center. Asking. What topics can I ask about here? What to ask here. Mathematics Stack Exchange is for people studying …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.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 ...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 ...SEAT: Get the latest Vivid Seats stock price and detailed information including SEAT news, historical charts and realtime prices. The most overbought stocks in the communication s... 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. 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 ...

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Good morning, Quartz readers! Good morning, Quartz readers! The US takes stock of its economy. Fed chair Jerome Powell steps onto the congressional stage over the next two days to ... 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. 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.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...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...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 … 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. About. (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. 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. If you just upgraded to macOS Sierra and your Dropbox app is acting up, you’re not alone. Even with the latest version of the app, some users are experiencing strange behavior—erro...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...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. 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 ExchangeMathematics Stack Exchange. Help center. Our model. How can I format mathematics here? Many posts at Mathematics Stack Exchange include … 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. 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 = …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.SEAT: Get the latest Vivid Seats stock price and detailed information including SEAT news, historical charts and realtime prices. The most overbought stocks in the communication s....

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