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TheSimpliFire
  • Member for 6 years, 1 month
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question
42
Is $\int_0^\infty{dx\over x^{x^{x^x}}}<\int_0^\infty{dx\over x^{x^{x^{x^{x^x}}}}}<\int_0^\infty{dx\over x^{x^{x^{x^{x^{x^{x^x}}}}}}}<\cdots$ true?
Feb 26, 2022
question
11
Are these continued fractions of integrals known?
Jun 7
question
9
Is $(m,n)=(2,3)$ the only solution to $\sum_\limits{k \in\Bbb Z}\frac1{(W_k(x)+1)^m}=\sum_\limits{k \in\Bbb Z}\frac1{(W_k(x)+1)^n}$?
Jan 24
question
8
Is there a real-analytic approach to evaluate a definite integral (with an elementary integrand) whose value involves Lambert $W$?
Aug 11, 2022
question
6
Signs of Kravchuk matrix asymptotically produce a large circular region with hyperbolic sinks. Why?
Feb 16
question
5
Is there a meaningful interpretation of an $L^i$-space?
Jun 16
answer
5
Analytic expression for $\int_0^\infty \mathrm{d}p\frac{e^{-p \sin (\phi )} \sin (p \cos (\phi ))}{p \left(e^{c p}+1\right)}$
Apr 30
question
4
Maximal increasing behaviour of $\sqrt{-\log x}\operatorname{Li}_{1/2}(x)$
Dec 21, 2021
question
4
Dividing a spherical cap into three equal wedges
Dec 27, 2022
answer
4
$\int_L^\infty \exp(- t - y/t) \, dt = \text{?}$
Jun 6
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107
Can we remove any prime number with this strange process?
65
Make 0 0 0 0 = 8
47
How to evaluate double limit of multifactorial $\lim\limits_{k\to\infty}\lim\limits_{n\to 0} \sqrt[n]{n\underbrace{!!!!\cdots!}_{k\,\text{times}}}$
45
Is each of $\int_0^\infty\frac{dx}{x^x},\int_0^\infty\frac{dx}{x^{x^{x^x}}},\int_0^\infty\frac{dx}{x^{x^{x^{x^{x^x}}}}},\cdots$ less than $2$?
36
Is $100$ the only square number of the form $a^b+b^a$?

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