Logical matrix (original) (raw)
مصفوفة منطقية (بالإنجليزية: Logical matrix) أو مصفوفة ثنائية أو مصفوفة (0,1) هي مصفوفة تساوي جميع مداخلها الصفر أو الواحد.
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| dbo:abstract | مصفوفة منطقية (بالإنجليزية: Logical matrix) أو مصفوفة ثنائية أو مصفوفة (0,1) هي مصفوفة تساوي جميع مداخلها الصفر أو الواحد. (ar) Una matriz booleana es una matriz de números cuyas componentes o entradas son exclusivamente ceros o unos. Las matrices booleanas son útiles porque pueden representar objetos abstractos como relaciones binarias o grafos. Una matriz booleana general de nxm elementos tiene la forma: Donde aij = 0 o aij = 1. (es) A logical matrix, binary matrix, relation matrix, Boolean matrix, or (0, 1) matrix is a matrix with entries from the Boolean domain B = {0, 1}. Such a matrix can be used to represent a binary relation between a pair of finite sets. (en) Une matrice binaire est une matrice dont les coefficients sont soit 0, soit 1. En général ces coefficients sont les nombres de l'algèbre de Boole dans laquelle on appelle B l'ensemble constitué de deux éléments appelés valeurs de vérité {VRAI, FAUX}. Cet ensemble est aussi noté B = {1, 0} ou B = {⊤, ⊥}.On privilégie souvent la notation B = {1, 0}. Quand on programme des algorithmes utilisant ces matrices, la notation {VRAI, FAUX} peut coexister avec la notation {1, 0} car de nombreux langages acceptent ce polymorphisme. (fr) 논리 행렬(Logical matrix), 이진 행렬(Binary matrix), 관계 행렬(Relation matrix), 부울 행렬(Boolean matrix) 또는 (0,1) 행렬은 부울 도메인(Boolean Domain) B = {0, 1}의 항목이있는 행렬이다. 이러한 행렬은 한 쌍의 유한 집합 사이의 이진 관계(이항관계)를 나타 내기 위해 사용될 수 있다. (ko) In de wiskunde, in het bijzonder de matrixtheorie, is een binaire matrix of (0,1)-matrix een matrix waarvan alle elementen gelijk zijn aan nul of een. Bijvoorbeeld is een 2×5-binaire matrix. Operaties op binaire matrices worden vaak gedefinieerd in termen van modulaire rekenkunde mod 2; dat wil zeggen: de elementen worden behandeld als elementen van het eindige lichaam . Binaire matrices worden bij een verscheidenheid van weergaves gebruikt; er zijn ook meer beperkte speciale vormen van de binaire matrix. (nl) Una matrice binaria o (0,1)-matrice è una matrice i cui elementi possono valere solo zero o uno. In termini più formali sono matrici che, in quanto funzioni, hanno codominio contenuto in {0,1}. La matrice identità è un caso particolare di matrice binaria (quadrata), in cui gli elementi della diagonale principale hanno valore 1, e tutti gli altri elementi hanno valore 0. (it) Бинарная матрица (двоичная матрица, (0, 1)-матрица) — матрица, элементы которой принадлежат множеству — бинарная матрица (ru) Uma matriz booleana, matriz binária, matriz relação, matriz lógica ou matriz (0,1) é uma matriz com entradas a partir do domínio booleano B = {0, 1}. Tal matriz pode ser usada para representar uma relação binária entre um par de conjuntos finitos. (pt) En binär matris, eller en noll-ett matris, är en matris vars element bara består av 1:or eller 0:or. (sv) 逻辑矩阵（或者布尔矩阵）是由布尔域B = {0, 1}组成的矩阵。这样的矩阵可以用来表示一对有限集合之间的二元关系。 (zh) Бінарна матриця — матриця, елементами якої є тільки 0 та 1. Кількість бінарних матриць розміру m×n дорівнює 2mn. — бінарна матриця розміру 3 ×4. (uk) |
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| dbp:id | p/l060740 (en) |
| dbp:title | Logical matrix (en) |
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| rdfs:comment | مصفوفة منطقية (بالإنجليزية: Logical matrix) أو مصفوفة ثنائية أو مصفوفة (0,1) هي مصفوفة تساوي جميع مداخلها الصفر أو الواحد. (ar) Una matriz booleana es una matriz de números cuyas componentes o entradas son exclusivamente ceros o unos. Las matrices booleanas son útiles porque pueden representar objetos abstractos como relaciones binarias o grafos. Una matriz booleana general de nxm elementos tiene la forma: Donde aij = 0 o aij = 1. (es) A logical matrix, binary matrix, relation matrix, Boolean matrix, or (0, 1) matrix is a matrix with entries from the Boolean domain B = {0, 1}. Such a matrix can be used to represent a binary relation between a pair of finite sets. (en) Une matrice binaire est une matrice dont les coefficients sont soit 0, soit 1. En général ces coefficients sont les nombres de l'algèbre de Boole dans laquelle on appelle B l'ensemble constitué de deux éléments appelés valeurs de vérité {VRAI, FAUX}. Cet ensemble est aussi noté B = {1, 0} ou B = {⊤, ⊥}.On privilégie souvent la notation B = {1, 0}. Quand on programme des algorithmes utilisant ces matrices, la notation {VRAI, FAUX} peut coexister avec la notation {1, 0} car de nombreux langages acceptent ce polymorphisme. (fr) 논리 행렬(Logical matrix), 이진 행렬(Binary matrix), 관계 행렬(Relation matrix), 부울 행렬(Boolean matrix) 또는 (0,1) 행렬은 부울 도메인(Boolean Domain) B = {0, 1}의 항목이있는 행렬이다. 이러한 행렬은 한 쌍의 유한 집합 사이의 이진 관계(이항관계)를 나타 내기 위해 사용될 수 있다. (ko) In de wiskunde, in het bijzonder de matrixtheorie, is een binaire matrix of (0,1)-matrix een matrix waarvan alle elementen gelijk zijn aan nul of een. Bijvoorbeeld is een 2×5-binaire matrix. Operaties op binaire matrices worden vaak gedefinieerd in termen van modulaire rekenkunde mod 2; dat wil zeggen: de elementen worden behandeld als elementen van het eindige lichaam . Binaire matrices worden bij een verscheidenheid van weergaves gebruikt; er zijn ook meer beperkte speciale vormen van de binaire matrix. (nl) Una matrice binaria o (0,1)-matrice è una matrice i cui elementi possono valere solo zero o uno. In termini più formali sono matrici che, in quanto funzioni, hanno codominio contenuto in {0,1}. La matrice identità è un caso particolare di matrice binaria (quadrata), in cui gli elementi della diagonale principale hanno valore 1, e tutti gli altri elementi hanno valore 0. (it) Бинарная матрица (двоичная матрица, (0, 1)-матрица) — матрица, элементы которой принадлежат множеству — бинарная матрица (ru) Uma matriz booleana, matriz binária, matriz relação, matriz lógica ou matriz (0,1) é uma matriz com entradas a partir do domínio booleano B = {0, 1}. Tal matriz pode ser usada para representar uma relação binária entre um par de conjuntos finitos. (pt) En binär matris, eller en noll-ett matris, är en matris vars element bara består av 1:or eller 0:or. (sv) 逻辑矩阵（或者布尔矩阵）是由布尔域B = {0, 1}组成的矩阵。这样的矩阵可以用来表示一对有限集合之间的二元关系。 (zh) Бінарна матриця — матриця, елементами якої є тільки 0 та 1. Кількість бінарних матриць розміру m×n дорівнює 2mn. — бінарна матриця розміру 3 ×4. (uk) |
| rdfs:label | مصفوفة منطقية (ar) Matriz booleana (es) Matrice binaria (it) Matrice binaire (fr) Logical matrix (en) 이진 행렬 (ko) Binaire matrix (nl) Matriz booliana (pt) Бинарная матрица (ru) Binär matris (sv) Бінарна матриця (uk) 邏輯矩陣 (zh) |
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