prove existence of a, such that a^2 = e
2731
Groups of even order have an element whose order is 2.
77026
Proof with inequalities
151806
Prove that $A^k = 0 $ iff $A^2 = 0$
106609
Show that $e^{iy} = 1 + iy + \frac{\mu_1 y^2}{2}$ for all $y \in \mathbb{R}$ with $|\mu_1| \leq 1$
40009
Show that $e^{\sqrt 2}$ is irrational
60036
How to prove this limit exists: $a_{n+2}=\sqrt{a_{n+1}}+\sqrt{a_{n}}$
125267
Prove that $2^{1/2}$ is irrational
56464
Proving the irrationality of $e^n$
108237
Show $a^p \equiv b^p \mod p^2$
58741
Operator Exponential $e^A e^B = e^{A+B}$
155864
Prove or disprove: if $y'=y-y^2$ and $y(0)=a$ where $00$
131844
When does $(e^a)^b = e^{ab}$ hold?
52930
Prove or disprove : $a^3\mid b^2 \Rightarrow a\mid b$
117680
Prove that $|e^{i\theta_1}-e^{i\theta_2}| \leq |\theta_1 - \theta_2|$
111406
Proving that a definition of e is unique
145397
How to prove that for every $i$, $a_i = i$
135465
Group theory proof of existence of a solution to $x^2\equiv -1\pmod p$ iff $p\equiv 1 \pmod 4$