Find answers to your questions about Mathematics or help others by answering their Mathematics questions.
Consider $mathbb{R}^n$ with the canonical scalar product $(cdot,cdot)$and the associated euclidean norm.Let $f: mathbb{R}^n to mathbb{R}$ of class $mathcal{C}^1$ be $omega$-convex, i.e....
Asked on 02/09/2021 by earth
1 answerI have to organize a tournament with following numbers: I have a total of 1338 participants from different schools, and we need to distribute the 16 finalist's places as fair...
Asked on 02/08/2021 by math2hard
2 answerCalculate $displaystylelim_{xto 0}frac{1}{x}int_0^x e^{t^2} dt$An answer given online that uses fundamental theorem of calculus is that let $displaystyle F(x)=int_0^x e^{t^2} dt$, then $$lim_{x→0}frac{1}{x}int_0^x e^{t^2} dt=F'(0)=e^0=1.$$ But this...
Asked on 02/08/2021 by Abdul Sami
2 answerLet $alpha(t) = re^{it}$ where $|a|<r<|b|$ and $t in [0,2pi]$. I'd like to compute$$int_{alpha}frac{1}{(z-a)^n(z-b)^m}dz n, m in mathbb{N}.$$It appears that...
Asked on 02/08/2021 by Vic Ryan
2 answerLet $(X, tau)$ be a Hausdorff space, and let $mathbb{B}(X)$ be the Borel $sigma$ algebra on $X$. The question is,Is it true that, if $xin...
Asked on 02/08/2021 by James2020
1 answerI have encountered the following definition of a manifold:A manifold $M$ is a space satisfying the following properties. 1- There exists a family of open neighborhoods $U_i$...
Asked on 02/08/2021
1 answerI have come across a question in my book which goes as follows: Consider a finite set $S$ of points in a euclidiean plane such that not all of...
Asked on 02/08/2021 by Devansh Kamra
0 answerTheorem: Suppose $x in mathbb{Q}$ with $x neq 0$ and $y in mathbb{R - Q}$. Then $xy$ is irrational. Proof. We proceed by contradiction. Suppose ...
Asked on 02/08/2021 by Hugo
2 answerA password for a bank need to include 11 letters can be made from the $A,B,..Z$ letters (only upper case) such that the password must include the letter ...
Asked on 02/08/2021 by Sagigever
3 answerIf $a,b,c,d$ are non negatives and $a^2+b^2+c^2+d^2=3$ prove that $$abcd+3ge a+b+c+d$$The inequality is not as simple as it looks.The interesting part is that the equality occurs...
Asked on 02/08/2021
4 answerGet help from others!
Recent Questions
Recent Answers
© 2024 TransWikia.com. All rights reserved. Sites we Love: PCI Database, UKBizDB, Menu Kuliner, Sharing RPP