New posts in alternative-proof

How did I solve this (triply logarithmic) equation?

Elegant proof that maximum of sums is, at most, sum of maximums

Christmas Cryptarithm: "HERES+MERRY+XMAS=READER"

Prove that any positive number has an $n$th root

Another point of view that $\mathbb{Z}/m\mathbb{Z} \times\mathbb{Z}/n\mathbb{Z}$ is cyclic.

Proof of the Reverse Triangle Inequality

$A = \sum_{n=0}^\infty a_n$ and $b_n \to B$ implies $\sum_{k=0}^n a_k b_{n-k} \to AB$

The "Crucial lemma" in Fermat n=3 proof [duplicate]

Very indeterminate form: $\lim_{x \to \infty} \left(\sqrt{x^2+2x+3} -\sqrt{x^2+3}\right)^x \longrightarrow (\infty-\infty)^{\infty}$

Insightful proofs for Sherman-Morrison Formula and Matrix Determinant Lemma

If $x+y+z=xyz$, prove $\frac{2x}{1-x^2}+\frac{2y}{1-y^2}+\frac{2z}{1-z^2}=\frac{2x}{1-x^2}\times\frac{2y}{1-y^2}\times\frac{2z}{1-z^2}$ [duplicate]

Proving that a matrix is invertible without using determinants

Is it possible to shorten the solution for this 2014 RMO question?

Charming approximation of $\pi$: $2\left(\frac{1}{2}\right)^{\phi/2}+2< \pi$, where $\phi$ is the golden ratio

Prove that a continuous function on a closed interval attains a maximum

Prove: $\lim_{n\to\infty}{\sum_{m=0}^{n}{\sum_{k=0}^{n-m}{\frac{2^{n-m-k}}{n-m+1}\,\frac{{{2k}\choose{k}}{{2m}\choose{m}}}{{{2n}\choose{n}}}}}}=\pi$

A simply-connected closed surface is a sphere

Writing a group element as $ghg^{-1} h^{-1}$ and as $g^2 h^2$

An interesting identity involving Jacobi $\theta_4$ and $\zeta(2)$

Prove that if the identity is written as the product of $r$ transpositions, then $r$ is an even number