Question

All solutions for $f(g(x))=g(f(x))$ on $f$

score 123 · Answer 1 · 2026-04-17 07:03:41

123

Views

All solutions for $f(g(x))=g(f(x))$ on $f$

Published on 17 Apr 2026 - 7:03

score 66 · Answer 2 · 2026-04-10 14:02:39

66

Views

Lambert W of a constant multiple

Published on 10 Apr 2026 - 14:02

score 59 · Answer 3 · 2026-04-14 14:18:38

59

Views

How to solve $2f(x+y) = f(x-y)f(x)$ for $f: \mathbb{R} \rightarrow \mathbb{R}$

Published on 14 Apr 2026 - 14:18

score 59 · Answer 4 · 2026-04-12 07:08:51

59

Views

Why not $e=2$? (result from a functional equation)

Published on 12 Apr 2026 - 7:08

score 43 · Answer 5 · 2026-04-17 07:51:43

43

Views

Scaling Invariant Functions for Weights

Published on 17 Apr 2026 - 7:51

score 39 · Answer 6 · 2026-04-12 23:43:41

39

Views

Substitute extremum back into functional (envelope theorem for functional)

Published on 12 Apr 2026 - 23:43

score 115 · Answer 7 · 2026-04-15 22:48:07

115

Views

Functional Equation $G(x^2) = \frac{1}{2} (G(x) + G(-x))$

Published on 15 Apr 2026 - 22:48

score 1k · Answer 8 · 2026-04-09 02:08:17

1k

Views

Does there exist a function which converts exponentiation into addition?

Published on 09 Apr 2026 - 2:08

score 35 · Answer 9 · 2026-04-13 01:45:30

35

Views

What is the motivation to minimize the length of the boundary in the Mumford and Shah energy?

Published on 13 Apr 2026 - 1:45

score 162 · Answer 10 · 2026-04-12 07:34:07

162

Views

Only commutators solve this functional equation

Published on 12 Apr 2026 - 7:34

score 229 · Answer 11 · 2026-04-15 19:44:08

229

Views

$F$ such that $F(A_{0}B_{0}+A_{1}B_{1})=F(A_{0})+F(B_{0})+F(A_{1})+F(B_{1})$?

Published on 15 Apr 2026 - 19:44

score 235 · Answer 12 · 2026-04-15 23:20:44

235

Views

Find All function $f(x)\in \Bbb{R}[x]$ satisfying $f(x)f(x+1)=f(x^2+x)$

Published on 15 Apr 2026 - 23:20

score 55 · Answer 13 · 2026-04-14 05:15:08

55

Views

Existence of function $f^{s}=tn$ for fix s,t natural numbers and for all $n\in\mathbb{N}$

Published on 14 Apr 2026 - 5:15

score 219 · Answer 14 · 2026-04-16 02:57:14

219

Views

What makes $\frac{x(x+1)}{2}$ a "better" interpolant of the sum of the first $n$ positive integers than any other, and likewise in similar cases?

Published on 16 Apr 2026 - 2:57

score 51 · Answer 15 · 2026-04-12 19:16:15

51

Views

TMO2022 question 5

Published on 12 Apr 2026 - 19:16

List Question

All solutions for $f(g(x))=g(f(x))$ on $f$

Lambert W of a constant multiple

How to solve $2f(x+y) = f(x-y)f(x)$ for $f: \mathbb{R} \rightarrow \mathbb{R}$

Why not $e=2$? (result from a functional equation)

Scaling Invariant Functions for Weights

Substitute extremum back into functional (envelope theorem for functional)

Functional Equation $G(x^2) = \frac{1}{2} (G(x) + G(-x))$

Does there exist a function which converts exponentiation into addition?

What is the motivation to minimize the length of the boundary in the Mumford and Shah energy?

Only commutators solve this functional equation

$F$ such that $F(A_{0}B_{0}+A_{1}B_{1})=F(A_{0})+F(B_{0})+F(A_{1})+F(B_{1})$?

Find All function $f(x)\in \Bbb{R}[x]$ satisfying $f(x)f(x+1)=f(x^2+x)$

Existence of function $f^{s}=tn$ for fix s,t natural numbers and for all $n\in\mathbb{N}$

What makes $\frac{x(x+1)}{2}$ a "better" interpolant of the sum of the first $n$ positive integers than any other, and likewise in similar cases?

TMO2022 question 5

Trending Questions

Popular # Hahtags

Popular Questions