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rdfs:label: Partiële functie Funció parcial 偏函数 Partial function Función parcial Partielle Funktion 部分写像 Função parcial Funzione parziale Fonction partielle Funkcja częściowa 부분 정의 함수
rdfs:comment: In de wiskunde wordt een functie die op een deel van een verzameling gedefinieerd is, een partiële functie op genoemd. Een partiële functie is niet noodzakelijk voor alle elementen van gedefinieerd. Zo is het omgekeerde van een getal niet gedefinieerd voor 0 en dus niet voor alle gehele getallen, en daarom slechts een partiële functie op alle gehele getallen. Funkcja częściowa z do – funkcja gdzie jest podzbiorem . Funkcję częściową z do oznacza się Jest to uogólnienie pojęcia funkcji polegające na tym, że nie wymaga się, aby odwzorowywało każdy element zbioru na element zbioru (lecz elementy pewnego podzbioru zbioru ). Jeśli to nazywa się po prostu funkcją. Funkcje częściowe są często używane wtedy, gdy dokładna dziedzina funkcji, nie jest znana. Dla funkcji częściowej dla każdego elementu albo: * ( jest jedynym takim elementem ) albo * jest niezdefiniowana. In matematica, si dice funzione parziale un sottoinsieme di , cioè una relazione binaria tra e , tale che: * (unicità) ossia esiste al più un tale che . È importante notare come non si richiede che la funzione sia definita ovunque, cioè che per ogni in sia per un in . Per contrapposizione, una funzione parziale definita su ogni elemento del dominio (cioè una funzione nel senso comune del termine) è detta totale. Un esempio di funzione parziale è dall'insieme dei numeri naturali in sé stesso, in quanto è un numero naturale solo se è un quadrato perfetto. 수학에서 부분 정의 함수(部分定義函數, 영어: partially defined function) 또는 부분 함수(部分函數, 영어: partial function)는 정의역의 일부분에만 정의되는, 함수의 개념의 일반화이다. 数学において部分写像（ぶぶんしゃぞう、英: partial mapping）あるいは部分函数（英: partial function）は適当な部分集合上で定義された写像である。即ち、集合 X から Y への部分写像 f は X の任意の元に Y の元を割り当てることが求められる写像 f: X → Y の概念を一般化して、X の適当な部分集合 X' の元に対してのみそれを要求する。X′ = X となる場合には f は全域写像 (total function) と呼ばれ、これは写像と同じ概念を意味する。部分写像を考えるときには、その定義域 X' がはっきりとは分かっていないという場合もよくある。 Eine partielle Funktion von der Menge nach der Menge ist eine binäre, rechtseindeutige Relation, das heißt eine Relation, in der jedem Element der Menge höchstens ein Element der Menge zugeordnet wird. Der Begriff der partiellen Funktion ist in der Theoretischen Informatik, insbesondere in der Berechenbarkeitstheorie verbreitet. Em matemática, uma função parcial é quase uma função, falhando na definição, porque para nem todos do domínio existe algum Mais precisamente, uma função parcial: é uma relação cujo gráfico: satisfaz o axioma: Em outras palavras, é uma relação tal que a restrição de ao seu domínio é uma função. Temos como exemplos: * arco seno * raiz quadrada * função inverso são funções parciais de em Las funciones se pueden clasificar en función de su conjunto de partida (o dominio). Dando lugar a dos tipos, parciales y totales. En mathématiques, une fonction partielle (quelquefois appelée simplement fonction) sur un ensemble donné E est une application définie sur une partie de celui-ci, appelé domaine de définition de la fonction partielle. En matemàtiques, una funció parcial sobre un conjunt donat E és una aplicació definida sobre una part d'aquest conjunt, anomenat domini de definició de la funció parcial. Una funció parcial és una relació que associa elements d'un conjunt (denominat domini) amb, com a mínim, un dels elements d'un altre conjunt (que pot ser el mateix), denominat codomini. En qualsevol cas, no cal que tots els elements del domini estiguin associats amb algun element del codomini. In mathematics, a partial function f from a set X to a set Y is a function from a subset S of X (possibly X itself) to Y. The subset S, that is, the domain of f viewed as a function, is called the domain of definition of f. If S equals X, that is, if f is defined on every element in X, then f is said to be total. When arrow notation is used for functions, a partial function from to is sometimes written as or However, there is no general convention, and the latter notation is more commonly used for inclusion maps or embeddings. Specifically, for a partial function and any one has either:
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dbo:abstract: Las funciones se pueden clasificar en función de su conjunto de partida (o dominio). Dando lugar a dos tipos, parciales y totales. 수학에서 부분 정의 함수(部分定義函數, 영어: partially defined function) 또는 부분 함수(部分函數, 영어: partial function)는 정의역의 일부분에만 정의되는, 함수의 개념의 일반화이다. Em matemática, uma função parcial é quase uma função, falhando na definição, porque para nem todos do domínio existe algum Mais precisamente, uma função parcial: é uma relação cujo gráfico: satisfaz o axioma: Em outras palavras, é uma relação tal que a restrição de ao seu domínio é uma função. Temos como exemplos: * arco seno * raiz quadrada * função inverso são funções parciais de em In de wiskunde wordt een functie die op een deel van een verzameling gedefinieerd is, een partiële functie op genoemd. Een partiële functie is niet noodzakelijk voor alle elementen van gedefinieerd. Zo is het omgekeerde van een getal niet gedefinieerd voor 0 en dus niet voor alle gehele getallen, en daarom slechts een partiële functie op alle gehele getallen. En mathématiques, une fonction partielle (quelquefois appelée simplement fonction) sur un ensemble donné E est une application définie sur une partie de celui-ci, appelé domaine de définition de la fonction partielle. Cette notion apparait en particulier en théorie de la calculabilité, qui s'intéresse aux fonctions partielles récursives : celles-ci sont définies sur une partie de N, l'ensemble des entiers naturels, ou plus généralement de Np, et l'ensemble de définition d'une fonction partielle récursive ne peut éventuellement pas se définir a priori, c'est-à-dire autrement qu'en indiquant que ce sont les entiers (ou tuples d'entiers) pour lesquels le calcul qui permet de définir la fonction aboutit. En matemàtiques, una funció parcial sobre un conjunt donat E és una aplicació definida sobre una part d'aquest conjunt, anomenat domini de definició de la funció parcial. Una funció parcial és una relació que associa elements d'un conjunt (denominat domini) amb, com a mínim, un dels elements d'un altre conjunt (que pot ser el mateix), denominat codomini. En qualsevol cas, no cal que tots els elements del domini estiguin associats amb algun element del codomini. Si tots els elements d'un conjunt X s'associen amb un element de Y mitjançant una funció parcial f:X→Y, llavors es diu que f és una funció total, o simplement una funció, com s'entén tradicionalment aquest concepte en matemàtiques. No totes les funcions parcials són funcions totals. 数学において部分写像（ぶぶんしゃぞう、英: partial mapping）あるいは部分函数（英: partial function）は適当な部分集合上で定義された写像である。即ち、集合 X から Y への部分写像 f は X の任意の元に Y の元を割り当てることが求められる写像 f: X → Y の概念を一般化して、X の適当な部分集合 X' の元に対してのみそれを要求する。X′ = X となる場合には f は全域写像 (total function) と呼ばれ、これは写像と同じ概念を意味する。部分写像を考えるときには、その定義域 X' がはっきりとは分かっていないという場合もよくある。 Funkcja częściowa z do – funkcja gdzie jest podzbiorem . Funkcję częściową z do oznacza się Jest to uogólnienie pojęcia funkcji polegające na tym, że nie wymaga się, aby odwzorowywało każdy element zbioru na element zbioru (lecz elementy pewnego podzbioru zbioru ). Jeśli to nazywa się po prostu funkcją. Funkcje częściowe są często używane wtedy, gdy dokładna dziedzina funkcji, nie jest znana. Dla funkcji częściowej dla każdego elementu albo: * ( jest jedynym takim elementem ) albo * jest niezdefiniowana. Jeśli dla funkcji częściowej istnieje taka funkcja że dla każdego elementu zbioru zachodzi równość to funkcję nazywamy przedłużeniem funkcji Mówimy wtedy, że funkcja jest funkcją częściową funkcji . Funkcję częściową funkcji oznaczamy wtedy symbolem Eine partielle Funktion von der Menge nach der Menge ist eine binäre, rechtseindeutige Relation, das heißt eine Relation, in der jedem Element der Menge höchstens ein Element der Menge zugeordnet wird. Der Begriff der partiellen Funktion ist in der Theoretischen Informatik, insbesondere in der Berechenbarkeitstheorie verbreitet. In mathematics, a partial function f from a set X to a set Y is a function from a subset S of X (possibly X itself) to Y. The subset S, that is, the domain of f viewed as a function, is called the domain of definition of f. If S equals X, that is, if f is defined on every element in X, then f is said to be total. More technically, a partial function is a binary relation over two sets that associates every element of the first set to at most one element of the second set; it is thus a functional binary relation. It generalizes the concept of a (total) function by not requiring every element of the first set to be associated to exactly one element of the second set. A partial function is often used when its exact domain of definition is not known or difficult to specify. This is the case in calculus, where, for example, the quotient of two functions is a partial function whose domain of definition cannot contain the zeros of the denominator. For this reason, in calculus, and more generally in mathematical analysis, a partial function is generally called simply a function. In computability theory, a general recursive function is a partial function from the integers to the integers; for many of them no algorithm can exist for deciding whether they are in fact total. When arrow notation is used for functions, a partial function from to is sometimes written as or However, there is no general convention, and the latter notation is more commonly used for inclusion maps or embeddings. Specifically, for a partial function and any one has either: * (it is a single element in Y), or * is undefined. For example, if is the square root function restricted to the integers defined by: if, and only if, then is only defined if is a perfect square (that is, ). So but is undefined. In matematica, si dice funzione parziale un sottoinsieme di , cioè una relazione binaria tra e , tale che: * (unicità) ossia esiste al più un tale che . È importante notare come non si richiede che la funzione sia definita ovunque, cioè che per ogni in sia per un in . Per contrapposizione, una funzione parziale definita su ogni elemento del dominio (cioè una funzione nel senso comune del termine) è detta totale. Un esempio di funzione parziale è dall'insieme dei numeri naturali in sé stesso, in quanto è un numero naturale solo se è un quadrato perfetto.
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Subject Item: dbr:Binary_operation
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Subject Item: dbr:Biordered_set
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Hideto_Tomabechi
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Subject Item: dbr:Total_relation
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Totality
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Subject Item: dbr:Register_machine
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Division_(mathematics)
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Domain_of_definition
dbo:wikiPageWikiLink: dbr:Partial_function
dbo:wikiPageRedirects: dbr:Partial_function

Subject Item: dbr:Bunched_logic
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Groupoid
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Domain_of_a_partial_function
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Subject Item: dbr:Idris_(programming_language)
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Subject Item: dbr:Injective_function
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Subject Item: dbr:Operation_(mathematics)
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Reduction_strategy
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Chain-complete_partial_order
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Chaitin's_constant
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Subject Item: dbr:Kleene's_recursion_theorem
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Map_(mathematics)
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Turing_machine
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Uniformization_(set_theory)
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Universal_Turing_machine
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Subject Item: dbr:List_of_terms_relating_to_algorithms_and_data_structures
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Subject Item: dbr:Partial_permutation
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Subject Item: dbr:Observable
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Subject Item: dbr:Pointed_set
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Semicomputable_function
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Subject Item: dbr:Finite-state_machine
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Subject Item: dbr:Sudoku_solving_algorithms
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Multitape_Turing_machine
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Multivalued_function
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Munn_semigroup
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:UTM_theorem
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Subject Item: dbr:Partial_Function
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Subject Item: dbr:Outline_of_discrete_mathematics
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Subject Item: dbr:Outline_of_logic
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Subject Item: dbr:Transformation_semigroup
dbo:wikiPageWikiLink: dbr:Partial_function

Subject Item: dbr:Limited_function
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Subject Item: dbr:Limited_function_(mathematics)
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Subject Item: dbr:Partial_map
dbo:wikiPageWikiLink: dbr:Partial_function
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Subject Item: dbr:Partial_mapping
dbo:wikiPageWikiLink: dbr:Partial_function
dbo:wikiPageRedirects: dbr:Partial_function

Subject Item: dbr:Partially-defined_map
dbo:wikiPageWikiLink: dbr:Partial_function
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Subject Item: dbr:Partially_defined_map
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Subject Item: wikipedia-en:Partial_function
foaf:primaryTopic: dbr:Partial_function