If $X,Y,Z$ are iid unif[0,1], then $(XY)^Z \sim \text{unif}[0,1]$.
22117
Distribution of $(XY)^Z$ if $(X,Y,Z)$ is i.i.d. uniform on $[0,1]$
72841
Proof that if $Z$ is standard normal, then $Z^2$ is distributed Chi-Square (1).
88598
Property of $\{0^n, 1^n, \ldots\}$
23517
Presentation $\langle x,y,z\mid xyx^{-1}y^{-2},yzy^{-1}z^{-2},zxz^{-1}x^{-2}\rangle$ of group equal to trivial group
42516
If every $x\in X$ is uniquely $x=y+z$ then $\|z\|+\|y\|\leq C\|x\|$
28088
When is $f_{xy}(x,y)\neq f_{yx}(x,y)?$
58242
Does $[x]\cdot [y]=[xy]$? Here $[.]$ is the GIF
61472
If $0<x<y$, then prove that $\sqrt{x} <\sqrt{y}$ and $x <\sqrt{xy} <y$
18484
Show that $k[x,y,z]/(xz-y^2)$ is not a UFD.
92054
$X$ and $Y$ i.i.d., $X+Y$ and $X-Y$ independent, $\mathbb{E}(X)=0 $ and $\mathbb{E}(X^2)=1$. Show $X \sim N(0,1)$
152311
Proving expression$\geq 2$, where variables are $x,y,z$
105769
Prove that $\exists a, b\in(0,1)$ such that $\int_0^{a} xf(x)dx=0\text{ and }\int_0^bxf(x)dx=\frac{b^2f(b)}{2}.$
21891
If $f(xy)=f(x)f(y)$ then show that $f(x) = x^t$ for some t
145752
Aut $\mathbb Z_p\simeq \mathbb Z_{p-1}$
95106
If $Y|X \sim \mathcal{N}(0,1)$ then is $Y^2|X \sim \chi^2(1)$?
81711
Joint CDF of 2 Unif(0,1) that are based on 3 other Unif(0,1)?
137982
Show that $\textbf{ZF}$ shows $\phi$ is $\Delta_1$