List questions from function-and-relation-composition

Published on 04 Oct 2012 - 20:52

132

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Conventions for notation of function exponentation.

Published on 06 Oct 2012 - 20:19

5.5k

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half iterate of $x^2+c$

Published on 25 Mar 2026 - 16:00

478

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A question about the limit of a composite function: $\lim_{n\to\infty}\frac{\sin n}{n}$

Published on 26 Oct 2012 - 1:48

966

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Composition of two functions is constant

Published on 29 Oct 2012 - 19:45

109

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Composition of two functions in $\mathbb{Z^2}\to \mathbb{Z^2}$

Published on 01 Nov 2012 - 23:00

309

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Composition function

Published on 04 Nov 2012 - 14:51

1k

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If $f \circ g$ is onto then $f$ is onto and if $f \circ g$ is one-to-one then $g$ is one-to-one

Published on 04 Nov 2012 - 18:57

14.2k

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What is the composition of relations like this? With no transitive relations between them?

Published on 05 Nov 2012 - 14:10

17.1k

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show that: $f$ is injective $\iff$ there exists a $g: Y\rightarrow X$ such that $g \circ f = idX$

Published on 08 Nov 2012 - 5:21

1.4k

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how to find two right-inverse functions of a function

Published on 11 Nov 2012 - 11:32

172

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Writing functions without 'x' - using only composition and partial-application of other functions?

Published on 18 Nov 2012 - 1:30

174

Views

Iterations of $f(x)=\dfrac{ax+b}{cx+d}$

Published on 19 Nov 2012 - 1:53

117

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How to prove the periodicity of an iterated function?

Published on 20 Nov 2012 - 3:56

3.5k

Views

Prove that if $f \circ g = f\circ h$, then $g = h$

Published on 21 Nov 2012 - 16:44

List Question

How to prove that monos are injective?

Conventions for notation of function exponentation.

half iterate of $x^2+c$

A question about the limit of a composite function: $\lim_{n\to\infty}\frac{\sin n}{n}$

Composition of two functions is constant

Composition of two functions in $\mathbb{Z^2}\to \mathbb{Z^2}$

Composition function

If $f \circ g$ is onto then $f$ is onto and if $f \circ g$ is one-to-one then $g$ is one-to-one

What is the composition of relations like this? With no transitive relations between them?

show that: $f$ is injective $\iff$ there exists a $g: Y\rightarrow X$ such that $g \circ f = idX$

how to find two right-inverse functions of a function

Writing functions without 'x' - using only composition and partial-application of other functions?

Iterations of $f(x)=\dfrac{ax+b}{cx+d}$

How to prove the periodicity of an iterated function?

Prove that if $f \circ g = f\circ h$, then $g = h$

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