Sign of the first derivative

When is a category the colimit of its slice categories

How to integrate $\int_0^{\infty} \frac{x}{e^x+1} dx$

Is there a way to find the sum of an infinite series (not geometric)

Show that $\frac{46!}{48}+1$ is not a power of 47

If $A, B$ are Morita equivalent, then $\underline{\text{Nat}}(I_A, I_A)\cong\underline{\text{Nat}}(I_B, I_B)$.

Value of $i^\sqrt3$

Infection spread on a torus chessboard

Evaluating $\lim_{x\to\infty}(\sqrt{x^2+1} - x)(x+1) $

$\arccos(1/2)$ products

Evaluating $\int_{0}^{\pi} \frac{1}{\sqrt{u^2+2u\cos x +1}} \mathrm{d}x$

Prove that limit doesn't exists at all

A simple graph must have at least one pair of vertices whose degrees are equal.

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