Compose

A name from the enumeratio catalogue with no kernel of its own yet; this page carries its crosswalk only.

Wolfram's own Composition, mapped through for the transpiler and the oracle but not yet written up here.

✓ checked against that system · ! checked, with disagreements (hover a chip)Wolfram LanguageComposition!↗

Compose(...)Wolfram's own Composition, mapped through for the transpiler and the oracle but not yet written up here.

Typed signatures

Type	Package	Applies
(any+) -> function	combinatorics	always

Domain: Wolfram

Examples

Basic #

live ↗

In$\mathrm{Compose}(f, g, h)\lhd x$Out$f(g(h(x)))$

Scope #

live ↗

In$\mathrm{Compose}(f, g, h)\lhd\bigl\lbrack x, y, z\bigr\rbrack$Out$f(g(h(\bigl\lbrack x, y, z\bigr\rbrack)))$

live ↗

In$\mathrm{Compose}(f, \mathrm{Identity}, g)$Out$(\operatorname{\_composed}\colon any)↦\mathrm{ComposeApply}(\bigl\lbrack f, \mathrm{Identity}, g\bigr\rbrack, \operatorname{\_composed})$

Applications #

live ↗

In$\mathrm{Compose}(\mathrm{Array}(\operatorname{\_1}↦\operatorname{f^1}, 10))\lhd x$Out$\mathrm{Compose}(\bigl\lbrack\operatorname{f^1}, \operatorname{f^1}, \operatorname{f^1}, \operatorname{f^1}, \operatorname{f^1}, \operatorname{f^1}, \operatorname{f^1}, \operatorname{f^1}, \operatorname{f^1}, \operatorname{f^1}\bigr\rbrack)\lhd x$

Properties #

live ↗

In$\mathrm{Compose}(f)$Out$(\operatorname{\_composed}\colon any)↦\mathrm{ComposeApply}(\bigl\lbrack f\bigr\rbrack, \operatorname{\_composed})$

live ↗

In$\mathrm{Compose}(f, g)\lhd x$Out$f(g(x))$

live ↗

In$\mathrm{Compose}(f, f, f)\lhd x$Out$f(f(f(x)))$

About

Examples	7
Checked against	Wolfram Language 5 agree2 differ
Crosswalk	Wolfram Language