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Итерация (математика) Iterated function Fonction itérée 写像の反復 Função iterada Algoritmo iterativo Función iterada 迭代函数
rdfs:comment
Итерация (от лат. iteratio «повторение») — результат повторного применения какой-либо математической операции. Так, если есть некоторая функция от (отображающая область определения в себя), то функции называются соответственно второй, третьей,..., n-й итерациями функции . Например, полагая , получают . Индекс n называют показателем итерации, а переход от функции к — итерированием. Итерации появляются при решении различного рода уравнений и систем уравнений итерационными методами (например метод итерации), которые играют важную роль в теории интегральных уравнений. Итеративные методы играют важную роль в теории игр и математическом программировании. Un algoritmo iterativo è una tipologia di algoritmo costituito da una sequenza di azioni che viene ripetuta, finché è necessaria la ripetizione stessa (un ciclo). Tutte le operazioni che richiedono la ripetizione di una stessa azione più volte, ma in numero finito sono dette procedure iterative. Ad ogni iterazione, l'esecutore svolge un compito. Al termine verifica se tale compito vada ripetuto mediante una condizione di ripetizione. En matemáticas, función iterada es una función que es compuesta consigo misma, en forma repetida, en un proceso llamado iteración. Las funciones iteradas son objeto de profundos estudios en el campo de los fractales y sistemas dinámicos. 写像あるいは函数の反復(はんぷく、英: iteration)とは、同じ写像あるいは函数を繰り返し適用する操作である。写像の繰り返しや反復合成とも呼ぶ。ある初期値に写像の反復を適用することで得られる点列を軌道という。 年利で増える残高計算、世代ごとに増減する生物の個体数の計算、ニュートン法のような数値計算で方程式の解を求める問題など、反復によって表すことができるさまざまな科学・数学の問題がある。 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。 En mathématiques, une fonction itérée est une fonction obtenue par composition répétée d’une autre fonction avec elle-même un certain nombre de fois.La procédure consistant à appliquer la même fonction à plusieurs reprises s’appelle itération. Les fonctions itérées apparaissent en informatique, dans les systèmes dynamiques, les groupes de renormalisation et sont à la base des fractales. 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 object, the result of applying a given function is fed again in the function as input, and this process is repeated. For example on the image on the right: L = ( K ), M = ( K ) = ( K ),with the circle‑shaped symbol of function composition. Em matemática, função iterada é uma função que é composta consigo mesma, em forma repetida, em um processo chamado iteração.As funções iteradas são objeto de profundos estudos no campo dos fractais e sistemas dinâmicos.
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写像あるいは函数の反復(はんぷく、英: iteration)とは、同じ写像あるいは函数を繰り返し適用する操作である。写像の繰り返しや反復合成とも呼ぶ。ある初期値に写像の反復を適用することで得られる点列を軌道という。 年利で増える残高計算、世代ごとに増減する生物の個体数の計算、ニュートン法のような数値計算で方程式の解を求める問題など、反復によって表すことができるさまざまな科学・数学の問題がある。 En matemáticas, función iterada es una función que es compuesta consigo misma, en forma repetida, en un proceso llamado iteración. Las funciones iteradas son objeto de profundos estudios en el campo de los fractales y sistemas dinámicos. 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 object, the result of applying a given function is fed again in the function as input, and this process is repeated. For example on the image on the right: L = ( K ), M = ( K ) = ( K ),with the circle‑shaped symbol of function composition. Iterated functions are objects of study in computer science, fractals, dynamical systems, mathematics and renormalization group physics. Un algoritmo iterativo è una tipologia di algoritmo costituito da una sequenza di azioni che viene ripetuta, finché è necessaria la ripetizione stessa (un ciclo). Tutte le operazioni che richiedono la ripetizione di una stessa azione più volte, ma in numero finito sono dette procedure iterative. Ad ogni iterazione, l'esecutore svolge un compito. Al termine verifica se tale compito vada ripetuto mediante una condizione di ripetizione. Итерация (от лат. iteratio «повторение») — результат повторного применения какой-либо математической операции. Так, если есть некоторая функция от (отображающая область определения в себя), то функции называются соответственно второй, третьей,..., n-й итерациями функции . Например, полагая , получают . Индекс n называют показателем итерации, а переход от функции к — итерированием. Итерации появляются при решении различного рода уравнений и систем уравнений итерационными методами (например метод итерации), которые играют важную роль в теории интегральных уравнений. Итеративные методы играют важную роль в теории игр и математическом программировании. En mathématiques, une fonction itérée est une fonction obtenue par composition répétée d’une autre fonction avec elle-même un certain nombre de fois.La procédure consistant à appliquer la même fonction à plusieurs reprises s’appelle itération. Les fonctions itérées apparaissent en informatique, dans les systèmes dynamiques, les groupes de renormalisation et sont à la base des fractales. 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。 Em matemática, função iterada é uma função que é composta consigo mesma, em forma repetida, em um processo chamado iteração.As funções iteradas são objeto de profundos estudos no campo dos fractais e sistemas dinâmicos.
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dbo:wikiPageWikiLink
dbr:Iterated_function
Subject Item
dbr:Topological_conjugacy
dbo:wikiPageWikiLink
dbr:Iterated_function
Subject Item
dbr:Steinhaus–Moser_notation
dbo:wikiPageWikiLink
dbr:Iterated_function
Subject Item
dbr:Iterated_map
dbo:wikiPageWikiLink
dbr:Iterated_function
dbo:wikiPageRedirects
dbr:Iterated_function
Subject Item
dbr:Iteration_orbit
dbo:wikiPageWikiLink
dbr:Iterated_function
dbo:wikiPageRedirects
dbr:Iterated_function
Subject Item
dbr:Iterative_function
dbo:wikiPageWikiLink
dbr:Iterated_function
dbo:wikiPageRedirects
dbr:Iterated_function
Subject Item
dbr:Iterative_functional-differential_equation
dbo:wikiPageWikiLink
dbr:Iterated_function
dbo:wikiPageRedirects
dbr:Iterated_function
Subject Item
dbr:Fractional_iteration
dbo:wikiPageWikiLink
dbr:Iterated_function
dbo:wikiPageRedirects
dbr:Iterated_function
Subject Item
dbr:Function_Iteration
dbo:wikiPageWikiLink
dbr:Iterated_function
dbo:wikiPageRedirects
dbr:Iterated_function
Subject Item
dbr:Function_iteration
dbo:wikiPageWikiLink
dbr:Iterated_function
dbo:wikiPageRedirects
dbr:Iterated_function
Subject Item
dbr:Picard_sequence
dbo:wikiPageWikiLink
dbr:Iterated_function
dbo:wikiPageRedirects
dbr:Iterated_function
Subject Item
wikipedia-en:Iterated_function
foaf:primaryTopic
dbr:Iterated_function