Equidistribution of $\big(\frac{1+ \sqrt{5}}{2}\big)^n$ in $[0,1]$
70040
The fractional parts of the powers of the golden ratio are not equidistributed in [0,1]
143701
About logistic distribution and showing $Y=\frac{1}{1+e^{-X}}$ has an uniform distribution over (0,1)
119278
The number $\frac{1}{\sqrt{5}}\left[\left(\frac{1+\sqrt{5}}{2}\right)^{n}-\left(\frac{1-\sqrt{5}}{2}\right)^n\right]$ is always an integer
157336
What is the result of $\bigcap_{n=1}^{\infty}{(-1/n; 1/n)}$
72904
Evaluation of $\prod_{n=1}^\infty e\left(\frac{n}{n+1}\right)^{n}\sqrt{\frac{n}{n+1}}$
65715
Distribution of sums
66082
Using $\sqrt{1-t}\leq 1-\frac t2$ to show that $\frac{1\cdot3\cdot5\cdots(2n-1)}{2\cdot4\cdot6\cdots2n}\geq\frac1{2\sqrt n}$
18880
Distribution of extremal values
13814
Limiting distribution of $\frac {X_n -Y_m -(n-m)}{\sqrt{X_n+Y_m}}$ where $X_n,Y_m$ are independent Poisson
122929
Prove that $Y=-2\sum_{i=1}^n \ln F_{X_i}(X_i)$ have distribution $\chi^2(2n)$
157762
Showing $f_n(x):=\frac{x}{1+n^2x^2}$ uniformly convergent in $\mathbb R$ using $\epsilon-n_0$
141438
If $X$ is distributed $\mathcal{N}\sim(\mu,1)$ then what is the PDF of $X^2$?
29578
Why is $\binom{2n}{n} \asymp \Theta \big(\frac{2^{2n}}{\sqrt{n}}\big)$?
158463
Analyzing $\biggl\lfloor{\frac{x}{5}}\bigg\rfloor=\bigg\lfloor{\frac{x}{7}}\bigg\rfloor$
22117
Distribution of $(XY)^Z$ if $(X,Y,Z)$ is i.i.d. uniform on $[0,1]$
27347
Verify that $\left|\int_{\gamma} \exp(iz^2)dz\right| \leq \frac{\pi\big(1-\exp(-r^2)\big)}{4r}$ where $\gamma(t)=re^{it}$, for $0\leq t \leq \pi/4$.
116722
Simplifying $\big(\sum_{i=0}^n\binom{k}{i}\binom{M-k}{n-i}\frac{k-i}{M-n}\big)/{\binom{M}{n}}$