Question

The functional equation $f(-x+b)=f(x)$

score 119 · Answer 1 · 2026-03-25 07:43:11

119

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The functional equation $f(-x+b)=f(x)$

Published on 25 Mar 2026 - 7:43

score 90 · Answer 2 · 2026-03-25 12:24:20

90

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Solving functional equation $\sin f = f^2-3if+\pi$

Published on 25 Mar 2026 - 12:24

score 246 · Answer 3 · 2018-10-17 01:48:54

246

Views

Proof that solutions to Cauchy F.E. over $\mathbb{Q}$ are linear

Published on 17 Oct 2018 - 1:48

score 51 · Answer 4 · 2018-10-17 05:52:42

51

Views

Solving functional equation by comparising sides

Published on 17 Oct 2018 - 5:52

score 694 · Answer 5 · 2018-10-18 03:23:01

694

Views

Is there a bijective seacucumber?

Published on 18 Oct 2018 - 3:23

score 66 · Answer 6 · 2018-10-18 13:45:53

66

Views

Solutions to $-t\ f'(t)+(1+r t)\ f(t)=f(t/2)$

Published on 18 Oct 2018 - 13:45

score 164 · Answer 7 · 2018-10-18 22:40:38

164

Views

Solving $f(x) = f(x/2) + f(x/3) + x$

Published on 18 Oct 2018 - 22:40

score 282 · Answer 8 · 2026-03-26 01:14:32

282

Views

Mean of two i.i.d. random variables follows the same distribution, Cauchy distribution?

Published on 26 Mar 2026 - 1:14

score 262 · Answer 9 · 2018-10-21 11:34:45

262

Views

Solving functional equations using Partial Derivatives(High School Level)

Published on 21 Oct 2018 - 11:34

score 1.7k · Answer 10 · 2018-10-23 22:36:03

1.7k

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IMO 2017: Determine all functions $f: \mathbb{R} \to\mathbb{R}$ such that, for all real numbers $x$ and $y$, $f(f(x)f(y)) + f(x +y) = f(xy)$.

Published on 23 Oct 2018 - 22:36

score 232 · Answer 11 · 2026-02-23 01:16:35

232

Views

Functional derivative normalization sensitive to normalization of test function?

Published on 23 Feb 2026 - 1:16

score 274 · Answer 12 · 2018-10-25 06:27:15

274

Views

When is adding a random variable to itself equivalent to multiplying the random variable by two?

Published on 25 Oct 2018 - 6:27

score 105 · Answer 13 · 2018-10-26 01:45:57

105

Views

Does this a function $x+y \rightarrow x^2+y^2$ exist?

Published on 26 Oct 2018 - 1:45

score 109 · Answer 14 · 2018-10-27 09:13:38

109

Views

Prove a function is constant function with the given conditions.

Published on 27 Oct 2018 - 9:13

score 207 · Answer 15 · 2018-10-27 23:16:52

207

Views

Existence of two functions $f$ and $g$ for which $f\circ g (x)=x^2 , g\circ f (x)=x^3$

Published on 27 Oct 2018 - 23:16

List Question

The functional equation $f(-x+b)=f(x)$

Solving functional equation $\sin f = f^2-3if+\pi$

Proof that solutions to Cauchy F.E. over $\mathbb{Q}$ are linear

Solving functional equation by comparising sides

Is there a bijective seacucumber?

Solutions to $-t\ f'(t)+(1+r t)\ f(t)=f(t/2)$

Solving $f(x) = f(x/2) + f(x/3) + x$

Mean of two i.i.d. random variables follows the same distribution, Cauchy distribution?

Solving functional equations using Partial Derivatives(High School Level)

IMO 2017: Determine all functions $f: \mathbb{R} \to\mathbb{R}$ such that, for all real numbers $x$ and $y$, $f(f(x)f(y)) + f(x +y) = f(xy)$.

Functional derivative normalization sensitive to normalization of test function?

When is adding a random variable to itself equivalent to multiplying the random variable by two?

Does this a function $x+y \rightarrow x^2+y^2$ exist?

Prove a function is constant function with the given conditions.

Existence of two functions $f$ and $g$ for which $f\circ g (x)=x^2 , g\circ f (x)=x^3$

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