Iterated function
In mathematics, an iterated function is a function X → X (that is, a function from some set X to itself) which is obtained by composing another function f : X → X with itself a certain number of times. The process of repeatedly applying the same function is called iteration. In this process, starting from some initial number, the result of applying a given function is fed again in the function as input, and this process is repeated. Iterated functions are objects of study in computer science, fractals, dynamical systems, mathematics and renormalization group physics.
1 − 2 + 3 − 4 + ⋯Abel equationAdjugate matrixAitken's delta-squared processAliquot sumAmbiguityAmorphous setArithmetic dynamicsArtin–Mazur zeta functionBanach fixed-point theoremButterfly effectCantor setCarleman matrixCauchy condensation testChaotic scatteringCharles BabbageCobweb plotComplete partial orderComplex dynamicsComplex quadratic polynomialContraction mappingCycle detectionDenotational semanticsDyadic transformationDynamical systemDynamical system (definition)Dynamical systems theoryEntropy (arrow of time)Escaping setExpansive homeomorphismExponentiationFilled Julia setFixed-point iterationFixed point (mathematics)Flow (mathematics)Fractional Fourier transformFractional iterationFunction IterationFunction compositionFunction iteration
Link from a Wikipage to another Wikipage
primaryTopic
Iterated function
In mathematics, an iterated function is a function X → X (that is, a function from some set X to itself) which is obtained by composing another function f : X → X with itself a certain number of times. The process of repeatedly applying the same function is called iteration. In this process, starting from some initial number, the result of applying a given function is fed again in the function as input, and this process is repeated. Iterated functions are objects of study in computer science, fractals, dynamical systems, mathematics and renormalization group physics.
has abstract
Em matemática, função iterada ...... fractais e sistemas dinâmicos.
@pt
En matemáticas, función iterad ...... ractales y sistemas dinámicos.
@es
En mathématiques, une fonction ...... sont à la base des fractales.
@fr
In mathematics, an iterated fu ...... renormalization group physics.
@en
Un algoritmo iterativo è una t ...... una condizione di ripetizione.
@it
Итерация (от лат. iteratio «по ...... теории интегральных уравнений.
@ru
在数学中，迭代函数是在碎形和动力系统中深入研究的对象。迭代函数是重复的与自身复合的函数，这个过程叫做迭代。
@zh
数学における写像の反復適用および反復合成（はんぷくごうせい、 ...... るいは数学および繰り込み群の物理学において研究の対象となる。
@ja
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,015,419,803
Link from a Wikipage to another Wikipage
cs1-dates
y
@en
date
May 2019
@en
group
"nb"
@en
wikiPageUsesTemplate
subject
hypernym
comment
Em matemática, função iterada ...... fractais e sistemas dinâmicos.
@pt
En matemáticas, función iterad ...... ractales y sistemas dinámicos.
@es
En mathématiques, une fonction ...... sont à la base des fractales.
@fr
In mathematics, an iterated fu ...... renormalization group physics.
@en
Un algoritmo iterativo è una t ...... una condizione di ripetizione.
@it
Итерация (от лат. iteratio «по ...... теории интегральных уравнений.
@ru
在数学中，迭代函数是在碎形和动力系统中深入研究的对象。迭代函数是重复的与自身复合的函数，这个过程叫做迭代。
@zh
数学における写像の反復適用および反復合成（はんぷくごうせい、 ...... るいは数学および繰り込み群の物理学において研究の対象となる。
@ja
label
Algoritmo iterativo
@it
Fonction itérée
@fr
Función iterada
@es
Função iterada
@pt
Iterated function
@en
Итерация (математика)
@ru
反復合成写像
@ja
迭代函数
@zh