# All Questions

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### Irreducible linear set of quadratics over $\Bbb F_p$

Given $f(x)\in\Bbb F_p[x],\gamma\in\Bbb F_p$ with $\mathsf{deg}(f(x))=2$. Denote $S(f(x),\gamma)$ to be set of polynomials of form $$f(x)+x(x-\gamma)\beta$$ where $\beta\in\Bbb F_p$. Denote ...
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### Generating (or availability of) large strongly regular graphs

Are there collections of already generated large strongly regular graphs available to download? By large I mean $n >= 200$ where $n$ is the number of vertices. I found Ted Spence's page on srgs, ...
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### Conditions for existence of Penrose diagrams

A Penrose diagram (also known as a conformal diagram or Carter-Penrose diagram) is a technique for visualizing the causal (light-cone) structure of a 3+1-dimensional manifold. Usually the diagram is ...
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### summation of non-linear function [on hold]

Can anyone have idea for dealing with the two following series summations ∑_(i=1)^n▒1/(a+bx_i )=c ∑_(i=1)^n▒x_i/(a+bx_i )=d I need to find the values of 'a' and 'b'; 'c' and 'd' are known. x_i is ...
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### vector spaces with uncountable dimension and a nice basis

Unlike the reals considered as a vector space over the rationals, I know of a number of nice examples of vector spaces with uncountable dimension that have a nice basis. For example, the space of ...
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### Segal's 1999 Stanford lecture notes on TQFT, where to find them?

I am trying to track down a copy of Graeme Segal's 1999 lecture notes on topological field theory. These are sometimes referred to as the "Stanford lectures" or something similar. For many years ...
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### Are polls good approximations [on hold]

Let $X$ be a finite set and $A\subseteq X$ and $m$ be a natural number satisfying $m\le |X|$ and $\epsilon$ be a small positive number. I'm interested to know if one selects a random $Y\subseteq X$ ...
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### Important formulas in Combinatorics

Motivation: The poster for the conference celebrating Noga Alon's 60th birthday, fifteen formulas describing some of Alon's work are presented. (See this post, for the poster, and cash prizes offered ...
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### Eigenvalues of a random matrix [on hold]

For test cases i generated a random real uniform distributed matrix with entries from the intervall $[0,1]$. Here is the MATLAB Code i used ...
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### Connectedness of moduli of vector bundles

Let $X$ be a smooth projective variety. Given two vector bundles $V_1$ and $V_2$ such that $[V_1]=[V_2]\in K^0(X)$, can one expect that $V_1$ and $V_2$ can be connected by a family of vector bundles? ...
I can't understand the following example of measure of non-compactness, which was given in this article. Definition: A non-negative function $\phi$ defined on the bounded subsets of $X$ will be ...