The algebraic closure of a finite field has infinite dimension over that field

Grid deformation problem

Is there a prime of the form $\ (9n)!+n!+1\ $?

Binomial upper bound for the bi-color Ramsey numbers (Erdős-Szekeres)

Why can I solve an impossible equation using linear algebra?

Uniqueness of the limit on random variable

$| \int fg|\leq 1$ for any $g\in C_{0}^{\infty}$, $\|g\|_{L^{2}}=1$ then $\|f\|_{L^{2}}\leq1$

On the existence a symmetric positive definite matrix

Exponential generating function of the falling factorial

How can I justify this without determining the determinant?

Two guys and a horse

Find all positive integers $x, y, z$ so that $(x+2y)(y+2z)(z+2x)$ is equal to prime power

The fundamental group(s) of $\Bbb Q$ and of $\Bbb R$.

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