List questions from recreational-mathematics

Published on 08 Apr 2026 - 19:05

71

Views

How can I derive $\cos s = \cos x \cdot \cos y$ from the spherical triangle?

Published on 14 Apr 2026 - 13:05

30

Views

Formula for the summation of $2^i$ where $i$ has bounds $[0, n)$.

Published on 12 Apr 2026 - 17:58

43

Views

Parameterize matrix with disnict values, same row sums and sum of any 2 values in a row is perfect square.

Published on 16 Apr 2026 - 14:13

98

Views

Optimal control of posterior belief over a finite horizon

Published on 12 Apr 2026 - 10:17

176

Views

A functional equation problem: $f(f(x))=x^2-x+1$

Published on 22 Apr 2026 - 20:44

86

Views

Irreducible factors of Mandelbrot polynomials

Published on 13 Apr 2026 - 11:49

592

Views

What is the greatest possible value of a^b^c^d?

Published on 16 Apr 2026 - 20:16

76

Views

Arc length of a sine wave kinda

Published on 13 Apr 2026 - 2:03

69

Views

Look for the smallest n of colors to color and make the keys distinguishable

Published on 14 Apr 2026 - 18:30

31

Views

General properties of "weakly linked" families of sets

Published on 12 Apr 2026 - 13:38

128

Views

The map $m \to m\sigma(m)$ is not injective.

Published on 16 Apr 2026 - 2:38

42

Views

If $km$ is a Descartes number with quasi-Euler prime $m$, must $\sqrt{k}$ be a squarefree palindrome?

Published on 14 Apr 2026 - 10:41

110

Views

In how many ways one can arrange the numbers $0,1,2,\dots,n$ using each number exactly once so that no two adjacent numbers sum greater than $n+1$?

Published on 14 Apr 2026 - 7:45

203

Views

Number of ways to cover half of a grid by an orthogonally connected region

Published on 14 Apr 2026 - 4:16

List Question

An 8th grade contest-math puzzle

How can I derive $\cos s = \cos x \cdot \cos y$ from the spherical triangle?

Formula for the summation of $2^i$ where $i$ has bounds $[0, n)$.

Parameterize matrix with disnict values, same row sums and sum of any 2 values in a row is perfect square.

Optimal control of posterior belief over a finite horizon

A functional equation problem: $f(f(x))=x^2-x+1$

Irreducible factors of Mandelbrot polynomials

What is the greatest possible value of a^b^c^d?

Arc length of a sine wave kinda

Look for the smallest n of colors to color and make the keys distinguishable

General properties of "weakly linked" families of sets

The map $m \to m\sigma(m)$ is not injective.

If $km$ is a Descartes number with quasi-Euler prime $m$, must $\sqrt{k}$ be a squarefree palindrome?

In how many ways one can arrange the numbers $0,1,2,\dots,n$ using each number exactly once so that no two adjacent numbers sum greater than $n+1$?

Number of ways to cover half of a grid by an orthogonally connected region

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