If $f(tx,ty)=t^n f(x,y)$, For all $t$, and $n$ is an integer $\ge 1$, prove this result
450
euler's theorem of homogeneuos function
57193
Prove that $f$ has derivatives of all orders at $x=0$, and that $f^{(n)}(0)=0$ for $n=1,2,3\ldots$
103801
$xT=x$ iff $x=e$ implies that every $g$ may be written as $x^{-1}(xT)$ for some $x\in G$.
70304
Prove there are $\xi$, $\eta$ with $f'(\xi)f'(\eta)=1$
48081
Prove that for all $n \in \mathbb{N}$: $2^{n-1}(a^n + b^n) \ge (a + b)^n$
113141
Prove that $\lim_{n \to \infty}\bigg[\int_0^1f(t)^n \text{dt}\bigg]^{1/n}=M$
22573
Volume of $T_n=\{x_i\ge0:x_1+\cdots+x_n\le1\}$
32149
Proof of the inequality $(x+y)^n\leq 2^{n-1}(x^n+y^n)$
11715
Prove that if $\langle Tx,x\rangle =0$ for all $x \in X$, then $T = 0$
42976
How do you prove the follwing $|\sqrt[n]{x}-\sqrt[n]{y}| \le \sqrt[n]{|x-y|}$
15262
Prove $\exists \xi, \eta \in (0,1)$, such that $f(\xi)+f'(\eta)=\xi+\eta$.
14677
Proving the exponential inequality: $x^y+y^x\gt1$
147627
Relation between condition numbers $\kappa(A^T A)$ and $\kappa(A)$
70128
Prove that $(fg)^{(n)} = \sum_{k=0}^n \binom{n}{k}f^{(k)}(x)g^{(n-k)}(x)$
157924
$\forall x\in\mathbb{N}[(\exists y\in\mathbb{N}(2\leq y\land y<x\land y\ |\ x))\to(\exists z\in\mathbb{N}(2\leq z\land z\leq\sqrt x\land z\ |\ x))]$
94571
How can we prove that $N_G(H)=H$ implies $N_{f(G)}(f(H))=f(H)$
149801
prove that $TS = ST$