List questions from function-and-relation-composition

Published on 12 Jun 2013 - 4:37

92

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Is the statement true?

Published on 18 Jun 2013 - 12:08

1k

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A question about the composite function of a derivative

Published on 24 Jun 2013 - 17:22

552

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Show that the set of functions under composition is isomorphic to $S_3$

Published on 02 Jul 2013 - 23:38

296

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Sum of terms in a composition cycle

Published on 03 Jul 2013 - 3:12

174

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Relation $R$: $R\circ R \subseteq R \implies R$ is transitive

Published on 10 Jul 2013 - 20:58

204

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Injectivity and Compositionality

Published on 13 Jul 2013 - 2:44

798

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Example of an injective function $g$ and function $f$ such that $g\circ f$ is not injective

Published on 13 Jul 2013 - 3:38

346

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On the Definition of Surjectivity

Published on 13 Jul 2013 - 4:03

83

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(Revisted) Surjectivity: Examples for Compositions

Published on 13 Jul 2013 - 19:05

515

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Must the composition of a function with a surjective function be surjective?

Published on 13 Jul 2013 - 20:07

255

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(Revisted) Invertibility is necessary and sufficient for bijectivity...

Published on 13 Jul 2013 - 22:15

1.4k

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Left Inverse: An Analysis on Injectivity

Published on 14 Jul 2013 - 0:49

264

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(Revisited$_2$) Injectivity Relies on The Existence of an Onto Function Mapping Back to Its Preimage

Published on 14 Jul 2013 - 21:42

1.3k

Views

What is the contrapositive of the definition of onto?

Published on 15 Jul 2013 - 4:39

List Question

How would I go about finding a closed form solution for $g(x,n) = f(f(f(...(x))))$, $n$ times?

Is the statement true?

A question about the composite function of a derivative

Show that the set of functions under composition is isomorphic to $S_3$

Sum of terms in a composition cycle

Relation $R$: $R\circ R \subseteq R \implies R$ is transitive

Injectivity and Compositionality

Example of an injective function $g$ and function $f$ such that $g\circ f$ is not injective

On the Definition of Surjectivity

(Revisted) Surjectivity: Examples for Compositions

Must the composition of a function with a surjective function be surjective?

(Revisted) Invertibility is necessary and sufficient for bijectivity...

Left Inverse: An Analysis on Injectivity

(Revisited$_2$) Injectivity Relies on The Existence of an Onto Function Mapping Back to Its Preimage

What is the contrapositive of the definition of onto?

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