TheSimpliFire

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PhD student and maths hobbyist interested in its wider applications. Discord

Слава Україні! Перемога близько!

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Can we remove any prime number with this strange process?

number-theory prime-numbers recreational-mathematics recursive-algorithms asked Jul 8, 2019 at 9:20

math.stackexchange.com

47 votes

How to evaluate double limit of multifactorial $\lim\limits_{k\to\infty}\lim\limits_{n\to 0} \sqrt[n]{n\underbrace{!!!!\cdots!}_{k\,\text{times}}}$

real-analysis limits factorial closed-form gamma-function asked Feb 18, 2021 at 10:31

math.stackexchange.com

45 votes

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 $2$?

integration inequality special-functions power-towers asked Feb 15, 2022 at 17:52

math.stackexchange.com

42 votes

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?

ca.classical-analysis-and-odes inequalities integration asked Feb 26, 2022 at 14:40

mathoverflow.net

36 votes

Is $100$ the only square number of the form $a^b+b^a$?

number-theory modular-arithmetic square-numbers conjectures pythagorean-triples asked Jul 14, 2019 at 10:19

math.stackexchange.com

36 votes

In molecular mechanics, how are van der Waals forces modelled?

molecular-dynamics intermolecular-forces molecular-mechanics interatomic-potentials asked Apr 28, 2020 at 19:45

mattermodeling.stackexchange.com

34 votes

Are these continued fractions of integrals known?

integration reference-request maxima-minima continued-fractions asked Jul 6, 2019 at 19:55

math.stackexchange.com

33 votes

Show that the maximum value of this nested radical is $\phi-1$

functions recursion maxima-minima nested-radicals golden-ratio asked Jan 5, 2019 at 16:41

math.stackexchange.com

33 votes

Sum of digits of $a^b$ equals $ab$

number-theory decimal-expansion conjectures asked Feb 24, 2019 at 17:10

math.stackexchange.com

30 votes

Cubic programming and beyond?

reference-request nonlinear-programming asked Jul 11, 2019 at 18:41

or.stackexchange.com

Top Answers

Make 0 0 0 0 = 8

puzzling.stackexchange.com

What is a good programming language for matter modeling?

mattermodeling.stackexchange.com

Let $A=(a_{ij})$ be an $n\times n$ matrix. Suppose that $A^2$ is diagonal. Must $A$ be diagonal?

math.stackexchange.com

Why did I lose on time with three pawns versus a knight? Shouldn't it be a draw?

chess.stackexchange.com

Are there any OR challenges that are similar to Kaggle's competitions?

or.stackexchange.com

Who were the 12 countries that voted against condemning Russia at the World Health Assembly yesterday?

politics.stackexchange.com

Counter-intuitive results in OR

or.stackexchange.com

Why is the West ignoring Belarus when threatening with sanctions related to the current Ukraine and Russia situation?

politics.stackexchange.com

Polyhedra, Polyhedron, Polytopes and Polygon

or.stackexchange.com

Make 2019 with single digits

puzzling.stackexchange.com

Why is $\sum\limits_{n=1}^{\infty}e^{-(n/10)^2}$ almost equal to $5\sqrt\pi-\frac12$ (agreeing up to $427$ digits)?

math.stackexchange.com

Does there exist a real function with domain $\Bbb{R}$ such that $f'(x)>0$ and $f''(x)+(f'(x))^2<0$ for all $x$?

math.stackexchange.com

How to write numbers and percentage?

english.stackexchange.com

Is this a new characteristic function for the primes?

math.stackexchange.com

Did Fischer really have a 180 IQ?

chess.stackexchange.com

Some changes to the profile while we make it responsive

meta.stackexchange.com

Where is the original Dantzig Simplex 1947 paper?

or.stackexchange.com

Maximum value of $ab+bc+ca$ given that $a+2b+c=4$

math.stackexchange.com

Evaluating $\int_0^1\frac{3x^4+ 4x^3 + 3x^2}{(4x^3 + 3x^2 + 2x+ 1)^2}\, dx$

math.stackexchange.com

What is quadratization?

or.stackexchange.com

Is every $N$th Fibonacci number where $N$ is divisible by $5$ itself divisible by $5$

math.stackexchange.com

Dividing the first 20 numbers into 3 lists

puzzling.stackexchange.com

Are there any "nonstandard" special angles for which trig functions yield radical expressions?

math.stackexchange.com

Do they have to be integers?

puzzling.stackexchange.com

How to evaluate the limit of multifactorial $\lim_{n\to 0} \sqrt[n]{n!!!!\cdots !}$

math.stackexchange.com

What is the value of $\lim\limits_{n\to\infty}2^{n}x_{n}$ if $x_1\in(0,1)$ and $x_{n+1}=\frac{\sqrt{1+x_n}-\sqrt{1-x_n}}2$ for every $n\ge1$?

math.stackexchange.com

Forced mate: 2 queens vs king

chess.stackexchange.com

How to prove :$\sqrt{1!\sqrt{2!\sqrt{3!\sqrt{\cdots\sqrt{n!}}}}} <3$

math.stackexchange.com

How are continued fractions related to quantum materials?

mattermodeling.stackexchange.com

Great Unsolved Problems in O.R

or.stackexchange.com