Intereting Posts

What's the right way to calculate hyperbolic distance on the hyperboloid model?
Can this approach to showing no positive integer solutions to $p^n = x^3 + y^3$ be generalized?
Proof of the second Bianchi identity
the largest integer $n$ for which $n+5$ divivides $n^5+5$?
How to reproduce the Mathematica solution for $\int(\cos x)^{\frac23}dx$?
How to prove $\prod _{a=0}^{9}\prod_{b=0}^{100}\prod_{c=0}^{100}(w^a+z^b+z^c)\equiv?\pmod {101}$
Choosing subsets of a set with a specified amount of maximum overlap between them
Formula for working out the number of dice combinations resulting in a given value
For any rng $R$, can we attach a unity?
Solution of $ f \circ f=f'$
Is it always possible to factorize $(a+b)^p – a^p – b^p$ this way?
When does the inverse limit preserve the localisation?
find all self-complementary graphs on five vertices
what is the relation of smooth compact supported funtions and real analytic function?
$1^n +2^n + \cdots +(p-1)^n \mod p =$?

Since $e=\sum_{n=0}^\infty\frac{1}{n!}=1+1+\frac12(1+\frac13(1+\frac14(1+\dots)))$

We have $4^{e-2}=\sqrt{4\cdot\sqrt[3]{4\cdot\sqrt[4]{4\cdots}}}$

Is there however a nice way to express the radical in the title too?

- Evaluating the infinite product $\prod\limits_{k=2}^\infty \left ( 1-\frac1{k^2}\right)$
- A closed form of $\sum_{n=1}^{\infty}(-1)^{n}\ln \!\left(1+\frac1{2n}\right) \!\ln\!\left(1+\frac1{2n+1}\right)$?
- How do solve this integral $\int_{-1}^1\frac{1}{\sqrt{1-x^2}}\arctan\frac{11-6\,x}{4\,\sqrt{21}}\mathrm dx$?
- Infinite Series $\sum\limits_{n=2}^{\infty}\frac{\zeta(n)}{k^n}$
- What is $\, _4F_3\left(1,1,1,\frac{3}{2};\frac{5}{2},\frac{5}{2},\frac{5}{2};1\right)$?
- Infinite Series $\sum_{m=0}^\infty\sum_{n=0}^\infty\frac{m!\:n!}{(m+n+2)!}$

- Multi-index power series
- General formula for the higher order derivatives of composition with exponential function
- Closed form for $\int_1^\infty\int_0^1\frac{\mathrm dy\,\mathrm dx}{\sqrt{x^2-1}\sqrt{1-y^2}\sqrt{1-y^2+4\,x^2y^2}}$
- Show that $\sqrt{2+\sqrt{2+\sqrt{2…}}}$ converges to 2
- Generalized Logarithmic Integral - reference request
- Closed form for $\prod_{n=1}^\infty\sqrt{\tanh(2^n)},$
- Infinite Series $\sum\limits_{n=1}^\infty\frac{H_{2n+1}}{n^2}$
- Need help with $\int_0^\pi\arctan^2\left(\frac{\sin x}{2+\cos x}\right)dx$
- Improper Integral $\int_0^1\frac{\arcsin^2(x^2)}{\sqrt{1-x^2}}dx$
- Value of $\sin(\pi/18)$ by nested radicals

- Example of different topologies with same convergent sequences
- Cauchy's Mean Value Theorem. What can we say about $c$ with more information.
- What are some examples of notation that really improved mathematics?
- Accessible proof of Carleson's $L^2$ theorem
- Subgroups of $\Bbb{R}^n$ that are closed and discrete
- Complex Mean Value Theorem: Counterexamples
- Classification of the decomposable primitive permutation groups
- Number of fixed points of automorphism on Riemann Surface
- Prove variant of triangle inequality containing p-th power for 0 < p < 1
- $f:\mathbb R \to \mathbb R$ be differentiable such that $f(0)=0$ and $f'(x)>f(x),\forall x \in \mathbb R$ ; then is $f(x)>0,\forall x>0$?
- Moments of Particular System of Stochastic Differential Equations (SDEs)
- Question about Conditional Expectation
- Pairing function for ordered pairs
- Explicit bijection between ordered trees with $n+1$ vertices and binary trees with $n+1$ leaves
- Why is $L_A$ not $\mathbb K$ linear (I can prove that it is)