New posts in Proof Explanation

$2^{3^{n}}+1=(2+1)\left(2^{2}-2+1\right)\left(2^{2 \cdot 3}-2^{3}+1\right) \cdots\left(2^{2 \cdot 3^{n-1}}-2^{3^{n-1}}+1\right)$

Corners are cut off from an equilateral triangle to produce a regular hexagon. Are the sides trisected?

Consider $\dot{x}=4x^{2}-16$.

If $M$ is a compact Riemannian manifold and $g$ and $\tilde{g}$ are metrics on $M$, then $\frac{1}{C} g \leq \tilde{g} \leq C g$ for $C > 1$

Why does $\frac{|\sin\theta|}{2}<\frac{|\theta|}{2}<\frac{|\tan\theta|}{2}$ not imply that $1>\lim_{\theta\to 0}\frac{\sin\theta}{\theta}>1$?

Question about product of generating functions in a proof that for positive integer $n$, $\sum_{k=0}^n(-1)^k\binom nk\binom{2n-k}n=1$.

Understanding Fraleigh's proof of: Every finite integral domain is a field

A Combinatorics Question: Why Is My Solution Wrong, And The Given Solution Correct?

If $f$ is uniformly continuous on two open sets with a non-empty intersection, then $f$ is uniformly continuous on their union

Find the smallest real $c$ such that $(e^x + e^{-x})/(2e^{cx^2}) \leq 1$ for all $x \in \Bbb{R}$