A curious property of an acute triangle

Solving the functional equation $f(n^2+m)=f(n+m^2)$

Is there a different approach to evaluate $\int \ln(x)\,\mathrm{d}x?$

Operator norm is equal to max eigenvalue

Is this proof that every strictly increasing $f\colon\mathbb{R\to R}$ is injective flawed?

Is there a way to sum $\sum_{n=1}^{\infty}\left[ \frac{y}{n} - \tan^{-1}\left( \frac{y}{n} \right)\right]$

Why do people study algebraic extension?

Confusion with regards to the phrase "exactly one of the events occurs"

Find all rational points on $x^2 + y^2 = 17$

Prove the existence of graph, which doesn't contain three vertices with same degree.

Show that $\sum_{k=1}^{\infty}\frac{2^{-k}}{k}=\sum_{k=1}^{\infty}\frac{(-1)^{k-1}}{k}$ without evaluating either sum

Connectedness and path connectedness of a set whose intersection with lines is open

Does there exist a nontrivial rational function which satisfies $f(f(f(f(x))))=x$?

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