Prove that the trace of $\alpha$ is contained in a sphere of radius $r>0$ if and only if $\frac{1}{k(s)^2}+\frac{k'(s)^2}{k(s)^4\tau(s)^2}=r^2$
66185
condition for curve on a sphere
129875
Fixed point theorem on spheres
36700
Quotient space of closed unit ball and the unit 2-sphere $S^2$
112329
Show that $d(z,a)=|\frac{z-a}{1-\overline{a}z}|$ is a metric on the unit disk
135129
Proving an entire  function which misses a ball is constant
94469
How to prove that $|HK| = \dfrac{|H| \; |K|}{|H \cap K|}$?
141194
Prove that $\frac{(n-2)s^2}{\sigma^2}\sim \chi^{2}_{n-2}$
42677
Proving $(\alpha + \beta)^{p^n} = \alpha^{p^n} + \beta^{p^n}$ in a finite field
101286
How show that $|a_{n}-1|\le c\lambda ^n,\lambda\in (0,1)$
49061
Show that $\int_{\partial P}z\frac {f'(z)} {f(z)} dz $ is on the lattice $\Lambda$
143608
Show the Trace$(B)^{2} \leq$ nTrace$(B^{T}B)$
133870
if $\alpha\leq\beta$ then there is $\gamma$ such as $\alpha+\gamma=\beta$
7164
Proof of Darboux's theorem
145632
Proving $\frac{1}{\cos^2\alpha}<\frac{\tan\beta-\tan\alpha}{\beta-\alpha}<\frac{1}{\cos^2\beta}$
68275
Primitive Root Theorem Proof
118049
Show that $\mathbb{R}^{\mathbb{R}} = U_{e} \oplus U_{o}$
75639
Showing that $\sqrt[3]{2}\notin\Bbb Q(\alpha_1,...,\alpha_k)$ where $\alpha_i^2\in\Bbb Q\ \forall i$