Composition

Composition[f1,f2,f3,]

represents a composition of the functions f1, f2, f3, .

Details

Examples

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Basic Examples  (2)

Apply a composition of functions to arguments:

Apply a composition using infix notation:

Scope  (6)

Use pure functions inside Composition:

Use InverseFunction on Composition:

Use Apply with Composition:

Identity inside a composition is simplified:

InverseFunction inside a composition is simplified if possible:

Create a compound operator that looks for symbols and then multiplies them by 2:

Apply that function to a list:

Applications  (2)

Create a composition of a sequence of functions:

Create a sum of numbers to be displayed in held form:

Properties & Relations  (7)

Composition composes on the left:

RightComposition composes on the right:

Pure functions let you set up objects that work like Composition:

Different ways of entering compositions:

Compose a function with itself times using Nest:

Compose a function with itself times using RSolve:

Compose TransformationFunction objects:

Use ComposeSeries to do composition of series expansions:

Neat Examples  (1)

Tabulate square roots of values without using auxiliary variables:

Introduced in 1991
 (2.0)
 |
Updated in 2014
 (10.0)