New posts in alternative-proof

The ring of integers of a number field is finitely generated.

Is my proof correct for: $\sqrt[7]{7!} < \sqrt[8]{8!}$

How to show that $\lim_{n\to \infty} \frac{a_1 +a_2 + \cdots + a_n}{n} = 0?$ [duplicate]

Abel-Ruffini theorem, Galois theory and minima and maxima

A Question on Epsilon-Delta Proofs in Measure Theory

Prove that there is no smallest positive real number

Elegant solution to $\lim\limits_{n \to \infty}{[n(\sqrt[n]{a} - 1)]}$

If $a_0+\frac{a_1}{2}+\dots + \frac{a_n}{n+1}=0$ then $a_nx^n+\dots + a_0$ has a root in $[0,1]$ [duplicate]

How to prove that $\lim\limits_{x\to0}\frac{\tan x}x=1$?

Is there a way to prove $\pi$ is irrational using any of its infinite series?

A very interesting question: intersection point of $x^y=y^x$

What is $x$ if $x^{x^x} = {(1/2)}^{\sqrt 2}$?

Direct combinatorial proof of a sum identity on formal Lagrange polynomials

Prob. 2(b), Sec. 25, in Munkres' TOPOLOGY, 2nd ed: The iff-condition for two points to be in the same component of $\mathbb{R}^\omega$

Proving a sequence is bounded under given conditions

Is there a way to avoid uniform convergence in Urysohn's extension theorem?

Characteristic Polynomial of Restriction to Invariant Subspace Divides Characteristic Polynomial

Inscribing Platonic solids in each other: why can't you put a dodecahedron in an octahedron?

Does the functional equation $p(x^2)=p(x)p(x+1)$ have a combinatorial interpretation?

Proving inequality $|\sin(n\theta) |\le n\sin\theta$