List questions from function-and-relation-composition

Published on 26 Dec 2019 - 19:20

49

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$f:A\to B, h:=(g\circ f):A\to C$ both bijective $\implies g:B\to C$ bijective?

Published on 07 Jan 2020 - 13:00

311

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Composition of a monotonic and periodic function.

Published on 09 Jan 2020 - 19:42

57

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Creating a function out of long nested composite functions and finding a value

Published on 21 Jan 2020 - 21:58

34

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Name for a specific relationship between two functions

Published on 29 Jan 2020 - 21:01

88

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Formal definition of function composition.

Published on 30 Jan 2020 - 11:44

98

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Commuting functions

Published on 25 Mar 2026 - 5:09

211

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For real univariate polynomials $f, g$, $f \circ f \circ f = g \circ g \circ g \implies f = g$?

Published on 09 Feb 2020 - 9:10

257

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Arbitrary continuous function expressed by purely discontinuous composition

Published on 09 Feb 2020 - 19:34

1.7k

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Composition Proof

Published on 25 Mar 2026 - 18:43

43

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Function composition and commutation exercise

Published on 26 Feb 2020 - 20:57

66

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Express $f + g$ and $f\cdot g$ as compositions involving $f$ and $g$ and various of other functions.

Published on 09 Mar 2020 - 10:20

76

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Composition of functions is a power function. Can I say anything general about these functions?

Published on 12 Mar 2020 - 14:30

28

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$(m, m') \in \mathit R^{n}$ only when sequence $c_0, ..., c_n$ $\mathit M$ with $m = c_0, (c_1, c_{i+1}) \in \mathit R$ and $c_n = m'$ exists

Published on 14 Mar 2020 - 19:51

90

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Irreducible Factorization of polynomial functions in finite fields

Published on 16 Mar 2020 - 3:53

List Question

Given composition of functions find the "inner"

$f:A\to B, h:=(g\circ f):A\to C$ both bijective $\implies g:B\to C$ bijective?

Composition of a monotonic and periodic function.

Creating a function out of long nested composite functions and finding a value

Name for a specific relationship between two functions

Formal definition of function composition.

Commuting functions

For real univariate polynomials $f, g$, $f \circ f \circ f = g \circ g \circ g \implies f = g$?

Arbitrary continuous function expressed by purely discontinuous composition

Composition Proof

Function composition and commutation exercise

Express $f + g$ and $f\cdot g$ as compositions involving $f$ and $g$ and various of other functions.

Composition of functions is a power function. Can I say anything general about these functions?

$(m, m') \in \mathit R^{n}$ only when sequence $c_0, ..., c_n$ $\mathit M$ with $m = c_0, (c_1, c_{i+1}) \in \mathit R$ and $c_n = m'$ exists

Irreducible Factorization of polynomial functions in finite fields

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