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If I have a rectangle ABCD such that A and B touch two points of the outer circle and CD's touches one point of the inner circle, how could the maximum dimensions of the rectangle be calculated? Exam …

Why are the homeomorphisms from the unit circle to the unit circle preserving measure affine? The affine is composition of rotation and continue automorphism.

Consider derivative of the convolution of a given function $f(\cdot)$ with a fixed $C^\infty$ function $s(\cdot)$, evaluated say at $1/2$. Is there a measure which generates the functional so defined? …

I am told that by means of continued fractions, Lusin or somebody else, has constructed examples of Lebesgue measurable sets which are not Borel measurable. Please, if you know a reference help me.

John Nash and his wife Alicia tragically passed away in 2015. According to Sylvia Nasar's book "A Beautiful Mind", their son is apparently a good mathematician. What works is he known for?

I need it to show that $\displaystyle\sum_{k=1}^\infty \frac{\sin k}{k^3} = \frac{2\pi^2-3\pi+1}{12}$

I found this formula for calculating maximum number of regions created by r hyper-planes in n-dimensional space (n<=r) rC0 + rC1 + ....... + rCn How can this formula be proved?? …

Suppose that $X$ is a Banach space. How to prove that the center of the algebra $B(X)$ (the algebra of bounded operators on $X$) consists only of operators of the form $aI$, where $a$ is scalar and $I …

Let $S$ be a compact connected surface. Let $K$ be a compact subset of $S$ and suppose that $K$ has a finite number of connected components. Let $U$ be a connected component of $S \setminus K$ and con …

I hope that this question is okay to post here. I'm in my final year of my master's degree in Sweden, and I'm starting to feel that some doors are closing in regards to applying for a postgraduate deg …

Can some body help me with some source code for finding automorphism groups of regular maps?. For example: the type of graph is denoted as $\{p, q\}$, which means that they are tessellations of the pl …

Let us have a list of vectors in a $3$D space. Is there a more efficient way to find the greatest difference between any two of them than combining each, computing the size of their difference, and th …

Is it possible to solve a function with both exponential and logarithm such as $$ a x^2 - b\cdot\log(x) = c $$ in closed form; where $a,b,c$ are constants and $a>0$ and $b>0$?

I am trying to figure out the least number of directed edges that would be bi-directional after constructing a graph with $2k-1$ nodes that are each $k$ in-degree. For example, $2(2)-1=3$ nodes that a …

We know that framing structure means the trivialization of tangent bundle of manifold $M$. string structure means the trivialization of Stiefel-Whitney class $w_1$, $w_2$ and half of the first Pontr …