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Iterated function

In mathematics, an iterated function is a function that is obtained by composing another function with itself two or several times. The process of repeatedly applying the same function is called iteration.

Science, Definition & Abelian property and iteration sequences

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Overview

Definition

Abelian property and iteration sequences

Fixed points

Limiting behaviour

Invariant measure

Fractional iterates and flows, and negative iterates

Conjugacy

Markov chains

Examples

Means of study

In computer science

Definitions in terms of iterated functions

Functional derivative

Lie's data transport equation

Advanced semantic analysis

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Map overview Semantic statistics

Iterated function

Nodes97
Edges96
Triples30
Avg. degree1.98
Density0.020619
Components1

How this topic connects Entity context

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Iterated function

Top relations

related to Invariant measure · 7
Iterated function → If, In, It, Koopman, Ruelle-Frobenius-Perron, Smaller, The
related to Conjugacy · 5
Iterated function → As, Clearly, For, If, Thus
related to Examples · 4
Iterated function → Ernst Schröder, Mandelbrot, There, Well-known
related to Means of study · 3
Iterated function → Artin, Iterated, Mazur
related to Definition · 2
Iterated function → Let, The
related to Definitions in terms of iterated functions · 2
Iterated function → These, Two
related to Lie's data transport equation · 2
Iterated function → Given, Iterated
see also · 2
Iterated function → Irrational, TetrationFunctional
is a · 1
Iterated function → function that is obtained by composing another function with itself two or several times
related to Functional derivative · 1
Iterated function → The

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Important terminology

function iterated point iteration fixed functions orbit example one set called case series given may points fractional functional equation also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Iterated functionis afunction that is obtained by composing another function with itself two or several times0.90text
Iterated functionrelated to ConjugacyIf0.60section
Iterated functionrelated to ConjugacyClearly0.60section
Iterated functionrelated to ConjugacyThus0.60section
Iterated functionrelated to ConjugacyFor0.60section
Iterated functionrelated to ConjugacyAs0.60section
Iterated functionrelated to DefinitionThe0.60section
Iterated functionrelated to DefinitionLet0.60section
Iterated functionrelated to Definitions in terms of iterated functionsTwo0.60section
Iterated functionrelated to Definitions in terms of iterated functionsThese0.60section
Iterated functionrelated to ExamplesThere0.60section
Iterated functionrelated to ExamplesWell-known0.60section

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