Mathematics Questions, Problems & Solutions : TransWikia.com ~ Page 176

A boundary condition

Given $dcolon [0,1]to mathbb{R}^2$, with $d(0)=d(1)=0$, I want to find a function $ccolon [0,1]^2to mathbb{R}^2$ such that $c(x,0)-c(1,0)+c(0,1)-c(x,1)+c(1,x)-c(0,x)=d(x)$, for all $xin [0,1]$.I was thinking...

Asked on 12/15/2020 by Lorenzo Andreaus

0 answer

Solving the Fractional Fourier Integral Transform of $e^{j omega_{0} t}$

I want to solve the integral: begin{align}F_{alpha}(omega) = frac{1}{sqrt{2 pi}} cdot sqrt{1 - j text{cot}(alpha)} cdot e^{j frac{1}{2} text{cot}(alpha) omega^{2} } int_{-infty}^{infty} e^{-j text{csc}(alpha) omega t +...

Asked on 12/15/2020 by The Dude

0 answer

A complete bipartite graph is unique

Let G be a complete bipartite graph with bipartition {X, Z} in independent sets. Prove that G is unique. I have the idea about the statement but I have some...

Asked on 12/15/2020 by ItsNotMe

1 answer

Global minimum for $frac{2(q - 1)(q^k + 1)}{q^{k+1} + q - 1}$, if $q geq 5$ and $k geq 1$

Let $q$ be a prime number, and let $k$ be an integer. THE PROBLEMDoes the function$$f(q,k) = frac{2(q - 1)(q^k + 1)}{q^{k+1} + q - 1}$$...

Asked on 12/15/2020 by Arnie Bebita-Dris

1 answer

Behaviour of orthogonal matrices

I am given that A is an orthogonal matrix of order $n$, and $u, v$ are Vectors in the $R^n $ space. I need to prove that...

Asked on 12/15/2020 by a9302c

2 answer

A single reference of Real Analysis/Calculus with following content

There are many books on this subject. Since, for teaching the course, I am searching, whether there is a single book which can be completely followed during the semester, and...

Asked on 12/15/2020 by Beginner

0 answer

How do I find the average rate of change of two points in a contour map?

Been struggling with this problem. It seems like C is at (6,5) and A is at (2,4) so when I...

Asked on 12/15/2020

1 answer

Winning money from random walks?

The same question was posted on MathOverflow.Informal problem descriptionAssume that we have a stock whose price behaves exactly like a Wiener process. (There are multiple reasons...

Asked on 12/15/2020 by Maximilian Janisch

0 answer

Is every vector space isomorphic to a direct product of one-dimensional vector spaces?

Question: Is every vector space isomorphic to a direct product of one-dimensional vector spaces? I know every vector space is a direct sum of one-dimensional vector spaces, since every vector...

Asked on 12/14/2020 by Zhang

0 answer

There are operations that are not rotations?

(I'm doing the first steps in group theory, so don't be harsh) Since reflections in a plane are rotations around some 3D axis, the question is: if the number of...

Asked on 12/14/2020 by Raxi Ral

0 answer

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