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There is also the book Mathemecum of Joseph Maurer. The book is in German and contains a collection of mathematical theorems and the names of the theorems are also given in English and in French; s …

Question: Are there any measures for how much the shape of a strictly convex smooth closed manifold of genus 0 deviates from that of a hyper-sphere of equal dimension? In euclidean 2-space an …

It is a well known fact, that ellipses can be defined as $$\{x\in\mathbb{R}^2\ \ |\ \ \|x-A\|+\|x-B\|-\|B-A\|=e\in\mathbb{R}_0^+;\ A,B\in\mathbb{R}^2\}$$ Question: has the generalization $$\{x …

In this question the number of unique sortings has been discussed. As a follow-up, I would like to know, whether the problem of sorting the sequence of subset sums has ever been studied. There shou …

After some fruitless efforts to devise a tree-structure based on subset inclusion and after some investigations on the usability of de Bruijn sequences, I finally arrived at a surprisingly simple meth …

I am currently doing some investigations on Sylvester's 4 Point Problem Probability of 4 Points being in Convex Configuration and repeatedly face the problem of solving equations between sums of eucli …

What is the complexity of the following task: given a sequence $p_1, ..., p_n, p_1$ that defines a closed polyline in the euclidean plane, what is the complexity of finding a reordering of the points, …

It is known, that $\phi := \frac{sqrt(5)-1}{2}$, is the number, that is hardest to approximate by rationals (cf e.g. the section properties of the golden ratio $\phi$ here: http://en.wikipedia.org/wik …

$ \newcommand{\valArg}{\mathop{\rm arg_{val}}\nolimits} \newcommand{\essSup}{\mathop{\rm sup_{ess}}\nolimits} \newcommand{\essArg}{\mathop{\rm arg_{ess}}\nolimits} $ As there se …

Suppose an optimal tour through a set $P=\lbrace p_1, ...,\ p_n\rbrace$ of $n$ points is known and also an optimal tour through $Q:=P\cup p_{n+1}$. Let $T_{opt}\left(P\right)$ denote the set of edg …

Question: does the following mean value have a name? $$v^*=\sqrt{\frac{\sum_{i=1}^{n}\alpha_iv_i^2}{\sum_{i=1}^{n}\alpha_i}}, \alpha_i\in\mathbb{R}^+$$ where the $v_i$ are individual speed limits …

Gauss has proven in his famous Theorema Egregium, that it is possible, to calculate the gaussian curvature from measuring angles and distances on the surface, irrespective of how the surface is embedd …

Question: have there been serious attempts to design divide and conquer heuristics for generating near optimal Hamilton Cycles in complete symmetric graphs? For clarification: by a divide and con …

I recently "stumbled upon" the article Pedal coordinates, Dark Kepler and other force problems by Petr Blaschke from 2017; further search about Pedal Coordinates didn't bring up any other relevant on …

The Riemann mapping theorem (cf e.g. http://en.wikipedia.org/wiki/Riemann_mapping_theorem) essentially guarantees the existence of a biholomorphic mapping of a simply connected, open subset of the com …