. . . . . . . . . "31046"^^ . . "\u8DDD\u96E2\u884C\u5217"@ja . . . . . . . . "Matriz de distancias"@es . "Matice vzd\u00E1lenost\u00ED je v matematice, matematick\u00E9 informatice a p\u0159edev\u0161\u00EDm v teorii graf\u016F \u010Dtvercov\u00E1 matice (dvourozm\u011Brn\u00E9 pole) obsahuj\u00EDc\u00ED vzd\u00E1lenosti mezi dvojicemi prvk\u016F mno\u017Einy. Podle pot\u0159eby m\u016F\u017Ee m\u00EDt vzd\u00E1lenost pou\u017E\u00EDvan\u00E1 v t\u00E9to matici r\u016Fzn\u00E9 v\u00FDznamy a m\u016F\u017Ee, ale nemus\u00ED b\u00FDt metrikou. Pro popis vzd\u00E1lenost\u00ED mezi prvky n-prvkov\u00E9 mno\u017Einy bude m\u00EDt matice vzd\u00E1lenost\u00ED velikost n\u00D7n. V grafov\u00FDch aplikac\u00EDch jsou tyto prvky obvykle ozna\u010Dovan\u00E9 jako body, uzly nebo vrcholy."@cs . . . . . . . . . . "\u041C\u0430\u0442\u0440\u0438\u0446\u0430 \u0440\u0430\u0441\u0441\u0442\u043E\u044F\u043D\u0438\u0439"@ru . . "En matem\u00E1ticas, ciencias de la computaci\u00F3n y teor\u00EDa de grafos, una matriz de distancias es una matriz cuadrada cuyos elementos representan las distancias entre los puntos, tomados por pares, de un conjunto. Dependiendo de su aplicaci\u00F3n, la distancia usada para definir esta matriz puede o no ser una m\u00E9trica. Se trata, por lo tanto, de una matriz sim\u00E9trica de tama\u00F1o (dado un conjunto de puntos en el espacio eucl\u00EDdeo) conteniendo n\u00FAmeros reales no negativos como elementos. El n\u00FAmero N de pares de puntos, (N-1)/2, es el n\u00FAmero de elementos independientes en la matriz de distancias. Las matrices de distancias est\u00E1n relacionadas con las matrices de adyacencia, diferenci\u00E1ndose en que las \u00FAltimas s\u00F3lo informan sobre qu\u00E9 v\u00E9rtices est\u00E1n conectados, pero no especifican costes o distancias entre los v\u00E9rtices; adem\u00E1s, cada elemento de una matriz de distancias es m\u00E1s peque\u00F1o cuanto m\u00E1s cercanos se encuentren los puntos, mientras que v\u00E9rtices cercanos (conectados) producen elementos mayores en una matriz de adyacencia."@es . . "In mathematics, computer science and especially graph theory, a distance matrix is a square matrix (two-dimensional array) containing the distances, taken pairwise, between the elements of a set. Depending upon the application involved, the distance being used to define this matrix may or may not be a metric. If there are N elements, this matrix will have size N\u00D7N. In graph-theoretic applications the elements are more often referred to as points, nodes or vertices."@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . "\u5728\u6570\u5B66\u4E2D, \u4E00\u4E2A\u8DDD\u79BB\u77E9\u9635\u662F\u4E00\u4E2A\u5404\u9805\u5143\u7D20\u70BA\u70B9\u4E4B\u95F4\u8DDD\u79BB\u7684\u77E9\u9635\uFF08\u4E8C\u7EF4\u6570\u7EC4\uFF09\u3002\u56E0\u6B64\u7ED9\u5B9AN\u4E2A\u6B27\u51E0\u91CC\u5F97\u7A7A\u95F4\u4E2D\u7684\u70B9\uFF0C\u5176\u8DDD\u79BB\u77E9\u9635\u5C31\u662F\u4E00\u4E2A\u975E\u8D1F\u5B9E\u6570\u4F5C\u4E3A\u5143\u7D20\u7684N\u00D7N\u7684\u5BF9\u79F0\u77E9\u9635\u8DDD\u79BB\u77E9\u9635\u548C\u90BB\u63A5\u77E9\u9635\u6982\u5FF5\u76F8\u4F3C\uFF0C\u5176\u533A\u522B\u5728\u4E8E\u540E\u8005\u4EC5\u5305\u542B\u5143\u7D20\uFF08\u70B9\uFF09\u4E4B\u95F4\u662F\u5426\u6709\u9023\u908A\uFF0C\u5E76\u6CA1\u6709\u5305\u542B\u5143\u7D20\uFF08\u70B9\uFF09\u4E4B\u95F4\u7684\u8FDE\u901A\u7684\u8DDD\u79BB\u7684\u8A0A\u606F\u3002\u56E0\u6B64\uFF0C\u8DDD\u79BB\u77E9\u9635\u53EF\u4EE5\u770B\u6210\u662F\u90BB\u63A5\u77E9\u9635\u7684\u52A0\u6743\u5F62\u5F0F\u3002 \u4E3E\u4F8B\u6765\u8BF4\uFF0C\u6211\u4EEC\u5206\u6790\u5982\u4E0B\u4E8C\u7EF4\u70B9a\u81F3f\u3002\u5728\u8FD9\u91CC\uFF0C\u6211\u4EEC\u628A\u70B9\u6240\u5728\u50CF\u7D20\u4E4B\u95F4\u7684\u6B27\u51E0\u91CC\u5F97\u5EA6\u91CF\u4F5C\u4E3A\u8DDD\u79BB\u5EA6\u91CF\u3002 \u5176\u8DDD\u79BB\u77E9\u9635\u4E3A\uFF1A \u8DDD\u79BB\u77E9\u9635\u7684\u8FD9\u4E9B\u6570\u636E\u53EF\u4EE5\u8FDB\u4E00\u6B65\u88AB\u770B\u6210\u662F\u56FE\u5F62\u8868\u793A\u7684\u70ED\u5EA6\u56FE\uFF08\u5982\u4E0B\u56FE\u6240\u793A\uFF09\uFF0C\u5176\u4E2D\u9ED1\u8272\u4EE3\u8868\u8DDD\u79BB\u4E3A\u96F6\uFF0C\u767D\u8272\u4EE3\u8868\u6700\u5927\u8DDD\u79BB\u3002 \u5728\u751F\u7269\u4FE1\u606F\u5B66\u4E2D\uFF0C\u8DDD\u79BB\u77E9\u9635\u7528\u6765\u8868\u793A\u4E0E\u5750\u6807\u7CFB\u65E0\u5173\u7684\u86CB\u767D\u8D28\u7ED3\u6784\uFF0C\u8FD8\u6709\u5E8F\u5217\u7A7A\u95F4\u4E2D\u4E24\u4E2A\u5E8F\u5217\u4E4B\u95F4\u7684\u8DDD\u79BB\u3002\u8FD9\u4E9B\u8868\u793A\u88AB\u7528\u5728\uFF0C\u5E8F\u5217\u6BD4\u5BF9\uFF0C\u8FD8\u6709\u5728\u6838\u78C1\u5171\u632F\uFF0CX\u5C04\u7EBF\u548C\u7ED3\u6676\u5B66\u4E2D\u786E\u5B9A\u86CB\u767D\u8D28\u7ED3\u6784\u3002 \u6709\u65F6\u5019\u8DDD\u79BB\u77E9\u9635\u4E5F\u88AB\u79F0\u4F5C\u3002"@zh . "Die Distanzmatrix ist in der Mathematik eine quadratische Matrix, die die Abst\u00E4nde zwischen Punkten einer Menge angibt. In der Chemie zeigt sie die Anzahl der Bindungen zwischen den Atomen eines Molek\u00FCls an. Die Distanzmatrix beschreibt damit einen wichtigen Aspekt der Topologie einer chemischen Verbindung. Das Molek\u00FCl wird dabei als ungerichteter Graph ohne Mehrfachkanten betrachtet. Die Bindungsordnungen werden somit ignoriert, eine Distanzmatrix unterscheidet nicht zwischen Einfach- und Mehrfachbindungen."@de . . . . . . "831350"^^ . . . . "Die Distanzmatrix ist in der Mathematik eine quadratische Matrix, die die Abst\u00E4nde zwischen Punkten einer Menge angibt. In der Chemie zeigt sie die Anzahl der Bindungen zwischen den Atomen eines Molek\u00FCls an. Die Distanzmatrix beschreibt damit einen wichtigen Aspekt der Topologie einer chemischen Verbindung. Das Molek\u00FCl wird dabei als ungerichteter Graph ohne Mehrfachkanten betrachtet. Die Bindungsordnungen werden somit ignoriert, eine Distanzmatrix unterscheidet nicht zwischen Einfach- und Mehrfachbindungen."@de . . . . . . . . "\u041C\u0430\u0442\u0440\u0438\u0446\u0430 \u0440\u0430\u0441\u0441\u0442\u043E\u044F\u043D\u0438\u0439 \u2014 \u044D\u0442\u043E \u043A\u0432\u0430\u0434\u0440\u0430\u0442\u043D\u0430\u044F \u043C\u0430\u0442\u0440\u0438\u0446\u0430 \u0442\u0438\u043F\u0430 \u00AB\u043E\u0431\u044A\u0435\u043A\u0442-\u043E\u0431\u044A\u0435\u043A\u0442\u00BB (\u043F\u043E\u0440\u044F\u0434\u043A\u0430 n), \u0441\u043E\u0434\u0435\u0440\u0436\u0430\u0449\u0430\u044F \u0432 \u043A\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u044D\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u0432 \u0440\u0430\u0441\u0441\u0442\u043E\u044F\u043D\u0438\u044F \u043C\u0435\u0436\u0434\u0443 \u043E\u0431\u044A\u0435\u043A\u0442\u0430\u043C\u0438 \u0432 \u043C\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043A\u043E\u043C \u043F\u0440\u043E\u0441\u0442\u0440\u0430\u043D\u0441\u0442\u0432\u0435."@ru . "\u8DDD\u79BB\u77E9\u9635"@zh . . . . . "Na matem\u00E1tica, ci\u00EAncia da computa\u00E7\u00E3o e na teoria dos grafos, uma matriz de dist\u00E2ncias \u00E9 uma matriz (array bidimensional) contendo as dist\u00E2ncias, tomadas em pares, de um conjunto de pontos. Esta matriz ter\u00E1 um tamanho de N\u00D7N onde N \u00E9 o n\u00FAmero de pontos, n\u00F3s ou v\u00E9rtices (muitas vezes em um grafo)."@pt . . "\u5728\u6570\u5B66\u4E2D, \u4E00\u4E2A\u8DDD\u79BB\u77E9\u9635\u662F\u4E00\u4E2A\u5404\u9805\u5143\u7D20\u70BA\u70B9\u4E4B\u95F4\u8DDD\u79BB\u7684\u77E9\u9635\uFF08\u4E8C\u7EF4\u6570\u7EC4\uFF09\u3002\u56E0\u6B64\u7ED9\u5B9AN\u4E2A\u6B27\u51E0\u91CC\u5F97\u7A7A\u95F4\u4E2D\u7684\u70B9\uFF0C\u5176\u8DDD\u79BB\u77E9\u9635\u5C31\u662F\u4E00\u4E2A\u975E\u8D1F\u5B9E\u6570\u4F5C\u4E3A\u5143\u7D20\u7684N\u00D7N\u7684\u5BF9\u79F0\u77E9\u9635\u8DDD\u79BB\u77E9\u9635\u548C\u90BB\u63A5\u77E9\u9635\u6982\u5FF5\u76F8\u4F3C\uFF0C\u5176\u533A\u522B\u5728\u4E8E\u540E\u8005\u4EC5\u5305\u542B\u5143\u7D20\uFF08\u70B9\uFF09\u4E4B\u95F4\u662F\u5426\u6709\u9023\u908A\uFF0C\u5E76\u6CA1\u6709\u5305\u542B\u5143\u7D20\uFF08\u70B9\uFF09\u4E4B\u95F4\u7684\u8FDE\u901A\u7684\u8DDD\u79BB\u7684\u8A0A\u606F\u3002\u56E0\u6B64\uFF0C\u8DDD\u79BB\u77E9\u9635\u53EF\u4EE5\u770B\u6210\u662F\u90BB\u63A5\u77E9\u9635\u7684\u52A0\u6743\u5F62\u5F0F\u3002 \u4E3E\u4F8B\u6765\u8BF4\uFF0C\u6211\u4EEC\u5206\u6790\u5982\u4E0B\u4E8C\u7EF4\u70B9a\u81F3f\u3002\u5728\u8FD9\u91CC\uFF0C\u6211\u4EEC\u628A\u70B9\u6240\u5728\u50CF\u7D20\u4E4B\u95F4\u7684\u6B27\u51E0\u91CC\u5F97\u5EA6\u91CF\u4F5C\u4E3A\u8DDD\u79BB\u5EA6\u91CF\u3002 \u5176\u8DDD\u79BB\u77E9\u9635\u4E3A\uFF1A \u8DDD\u79BB\u77E9\u9635\u7684\u8FD9\u4E9B\u6570\u636E\u53EF\u4EE5\u8FDB\u4E00\u6B65\u88AB\u770B\u6210\u662F\u56FE\u5F62\u8868\u793A\u7684\u70ED\u5EA6\u56FE\uFF08\u5982\u4E0B\u56FE\u6240\u793A\uFF09\uFF0C\u5176\u4E2D\u9ED1\u8272\u4EE3\u8868\u8DDD\u79BB\u4E3A\u96F6\uFF0C\u767D\u8272\u4EE3\u8868\u6700\u5927\u8DDD\u79BB\u3002 \u5728\u751F\u7269\u4FE1\u606F\u5B66\u4E2D\uFF0C\u8DDD\u79BB\u77E9\u9635\u7528\u6765\u8868\u793A\u4E0E\u5750\u6807\u7CFB\u65E0\u5173\u7684\u86CB\u767D\u8D28\u7ED3\u6784\uFF0C\u8FD8\u6709\u5E8F\u5217\u7A7A\u95F4\u4E2D\u4E24\u4E2A\u5E8F\u5217\u4E4B\u95F4\u7684\u8DDD\u79BB\u3002\u8FD9\u4E9B\u8868\u793A\u88AB\u7528\u5728\uFF0C\u5E8F\u5217\u6BD4\u5BF9\uFF0C\u8FD8\u6709\u5728\u6838\u78C1\u5171\u632F\uFF0CX\u5C04\u7EBF\u548C\u7ED3\u6676\u5B66\u4E2D\u786E\u5B9A\u86CB\u767D\u8D28\u7ED3\u6784\u3002 \u6709\u65F6\u5019\u8DDD\u79BB\u77E9\u9635\u4E5F\u88AB\u79F0\u4F5C\u3002"@zh . . "Matice vzd\u00E1lenost\u00ED"@cs . . . "Matriz de dist\u00E2ncias"@pt . . . . . . . . . . . . . . . . . . "Distance matrix"@en . . . . . . "1111600030"^^ . . . . . "Na matem\u00E1tica, ci\u00EAncia da computa\u00E7\u00E3o e na teoria dos grafos, uma matriz de dist\u00E2ncias \u00E9 uma matriz (array bidimensional) contendo as dist\u00E2ncias, tomadas em pares, de um conjunto de pontos. Esta matriz ter\u00E1 um tamanho de N\u00D7N onde N \u00E9 o n\u00FAmero de pontos, n\u00F3s ou v\u00E9rtices (muitas vezes em um grafo)."@pt . . . . "En matem\u00E1ticas, ciencias de la computaci\u00F3n y teor\u00EDa de grafos, una matriz de distancias es una matriz cuadrada cuyos elementos representan las distancias entre los puntos, tomados por pares, de un conjunto. Dependiendo de su aplicaci\u00F3n, la distancia usada para definir esta matriz puede o no ser una m\u00E9trica. Se trata, por lo tanto, de una matriz sim\u00E9trica de tama\u00F1o (dado un conjunto de puntos en el espacio eucl\u00EDdeo) conteniendo n\u00FAmeros reales no negativos como elementos. El n\u00FAmero N de pares de puntos, (N-1)/2, es el n\u00FAmero de elementos independientes en la matriz de distancias."@es . . "\u8DDD\u96E2\u884C\u5217\uFF08\u304D\u3087\u308A\u304E\u3087\u3046\u308C\u3064\u3001\u82F1: distance matrix\uFF09\u3068\u306F\u30012\u70B9\u9593\u3067\u5B9A\u7FA9\u3055\u308C\u308B\u8DDD\u96E2\u3092\u914D\u5217\u3057\u3066\u3001\u884C\u5217\u3068\u3057\u3066\u8868\u793A\u3057\u305F\u3082\u306E\u3067\u3042\u308B\u3002N\u70B9\u304C\u4E0E\u3048\u3089\u308C\u305F\u5834\u5408\u306B\u306F\u3001N\u00D7N\u5BFE\u79F0\u884C\u5217\uFF08\u5BFE\u89D2\u8981\u7D20\u306F\u3059\u3079\u30660\uFF09\u3068\u306A\u308A\u3001\u72EC\u7ACB\u306E\u8981\u7D20\u306FN\u00D7(N-1)/2\u500B\u3068\u306A\u308B\u3002 \u4F3C\u305F\u3082\u306E\u306B\u96A3\u63A5\u884C\u5217\u304C\u3042\u308B\u304C\u3001\u3053\u308C\u306F2\u9802\u70B9\u304C\u76F4\u63A5\uFF081\u672C\u306E\u30A8\u30C3\u30B8\u3067\uFF09\u63A5\u7D9A\u3057\u3066\u3044\u308B\u304B\u5426\u304B\u306E\u60C5\u5831\u3060\u3051\u3092\u542B\u307F\u3001\u305D\u308C\u4EE5\u4E0A\u306E\u8DDD\u96E2\u60C5\u5831\u306F\u542B\u307E\u306A\u3044\u3002 \u8DDD\u96E2\u884C\u5217\u3092\u7528\u3044\u3066\u3001\u6BD4\u8F03\u7684\u8DDD\u96E2\u306E\u77ED\u3044\u8907\u6570\u306E\u9802\u70B9\u3092\u30AF\u30E9\u30B9\u30BF\u306B\u307E\u3068\u3081\u308B\u3001\u30C7\u30FC\u30BF\u30FB\u30AF\u30E9\u30B9\u30BF\u30EA\u30F3\u30B0\u6CD5\u306E1\u3064\u304C\u8DDD\u96E2\u884C\u5217\u6CD5\u3067\u3042\u308B\u3002\u5177\u4F53\u7684\u306A\u30AF\u30E9\u30B9\u30BF\u30EA\u30F3\u30B0\u306E\u65B9\u6CD5\u306B\u306F\u3044\u304F\u3064\u304B\u306E\u7A2E\u985E\u304C\u3042\u308B\u3002 \u8DDD\u96E2\u884C\u5217\u6CD5\u306F\u7279\u306B\u30D0\u30A4\u30AA\u30A4\u30F3\u30D5\u30A9\u30DE\u30C6\u30A3\u30AF\u30B9\u3067\u3001\u975E\u52A0\u91CD\u7D50\u5408\u6CD5\u3084\u8FD1\u96A3\u7D50\u5408\u6CD5\u3068\u3057\u3066\u3001\u30A2\u30DF\u30CE\u9178\u914D\u5217\uFF08\u86CB\u767D\u8CEA\uFF09\u3084\u5869\u57FA\u914D\u5217\uFF08\u907A\u4F1D\u5B50\uFF09\u304B\u3089\u5B9A\u91CF\u7684\u306B\u6C42\u3081\u305F\u8DDD\u96E2\u306B\u57FA\u3065\u3044\u3066\u7CFB\u7D71\u6A39\u3092\u4F5C\u6210\u3059\u308B\u306E\u306B\u7528\u3044\u3089\u308C\u308B\u3002 \u307E\u305FNMR\u3084X\u7DDA\u7D50\u6676\u89E3\u6790\u3092\u7528\u3044\u3066\u3001\u86CB\u767D\u8CEA\u306E\u7ACB\u4F53\u69CB\u9020\u3092\u660E\u3089\u304B\u306B\u3059\u308B\u306E\u306B\u3082\u7528\u3044\u3089\u308C\u308B\u3002"@ja . . . . . . . . . . . "In mathematics, computer science and especially graph theory, a distance matrix is a square matrix (two-dimensional array) containing the distances, taken pairwise, between the elements of a set. Depending upon the application involved, the distance being used to define this matrix may or may not be a metric. If there are N elements, this matrix will have size N\u00D7N. In graph-theoretic applications the elements are more often referred to as points, nodes or vertices."@en . . . . . . . . "\u8DDD\u96E2\u884C\u5217\uFF08\u304D\u3087\u308A\u304E\u3087\u3046\u308C\u3064\u3001\u82F1: distance matrix\uFF09\u3068\u306F\u30012\u70B9\u9593\u3067\u5B9A\u7FA9\u3055\u308C\u308B\u8DDD\u96E2\u3092\u914D\u5217\u3057\u3066\u3001\u884C\u5217\u3068\u3057\u3066\u8868\u793A\u3057\u305F\u3082\u306E\u3067\u3042\u308B\u3002N\u70B9\u304C\u4E0E\u3048\u3089\u308C\u305F\u5834\u5408\u306B\u306F\u3001N\u00D7N\u5BFE\u79F0\u884C\u5217\uFF08\u5BFE\u89D2\u8981\u7D20\u306F\u3059\u3079\u30660\uFF09\u3068\u306A\u308A\u3001\u72EC\u7ACB\u306E\u8981\u7D20\u306FN\u00D7(N-1)/2\u500B\u3068\u306A\u308B\u3002 \u4F3C\u305F\u3082\u306E\u306B\u96A3\u63A5\u884C\u5217\u304C\u3042\u308B\u304C\u3001\u3053\u308C\u306F2\u9802\u70B9\u304C\u76F4\u63A5\uFF081\u672C\u306E\u30A8\u30C3\u30B8\u3067\uFF09\u63A5\u7D9A\u3057\u3066\u3044\u308B\u304B\u5426\u304B\u306E\u60C5\u5831\u3060\u3051\u3092\u542B\u307F\u3001\u305D\u308C\u4EE5\u4E0A\u306E\u8DDD\u96E2\u60C5\u5831\u306F\u542B\u307E\u306A\u3044\u3002 \u8DDD\u96E2\u884C\u5217\u3092\u7528\u3044\u3066\u3001\u6BD4\u8F03\u7684\u8DDD\u96E2\u306E\u77ED\u3044\u8907\u6570\u306E\u9802\u70B9\u3092\u30AF\u30E9\u30B9\u30BF\u306B\u307E\u3068\u3081\u308B\u3001\u30C7\u30FC\u30BF\u30FB\u30AF\u30E9\u30B9\u30BF\u30EA\u30F3\u30B0\u6CD5\u306E1\u3064\u304C\u8DDD\u96E2\u884C\u5217\u6CD5\u3067\u3042\u308B\u3002\u5177\u4F53\u7684\u306A\u30AF\u30E9\u30B9\u30BF\u30EA\u30F3\u30B0\u306E\u65B9\u6CD5\u306B\u306F\u3044\u304F\u3064\u304B\u306E\u7A2E\u985E\u304C\u3042\u308B\u3002 \u8DDD\u96E2\u884C\u5217\u6CD5\u306F\u7279\u306B\u30D0\u30A4\u30AA\u30A4\u30F3\u30D5\u30A9\u30DE\u30C6\u30A3\u30AF\u30B9\u3067\u3001\u975E\u52A0\u91CD\u7D50\u5408\u6CD5\u3084\u8FD1\u96A3\u7D50\u5408\u6CD5\u3068\u3057\u3066\u3001\u30A2\u30DF\u30CE\u9178\u914D\u5217\uFF08\u86CB\u767D\u8CEA\uFF09\u3084\u5869\u57FA\u914D\u5217\uFF08\u907A\u4F1D\u5B50\uFF09\u304B\u3089\u5B9A\u91CF\u7684\u306B\u6C42\u3081\u305F\u8DDD\u96E2\u306B\u57FA\u3065\u3044\u3066\u7CFB\u7D71\u6A39\u3092\u4F5C\u6210\u3059\u308B\u306E\u306B\u7528\u3044\u3089\u308C\u308B\u3002 \u307E\u305FNMR\u3084X\u7DDA\u7D50\u6676\u89E3\u6790\u3092\u7528\u3044\u3066\u3001\u86CB\u767D\u8CEA\u306E\u7ACB\u4F53\u69CB\u9020\u3092\u660E\u3089\u304B\u306B\u3059\u308B\u306E\u306B\u3082\u7528\u3044\u3089\u308C\u308B\u3002"@ja . . . "Matice vzd\u00E1lenost\u00ED je v matematice, matematick\u00E9 informatice a p\u0159edev\u0161\u00EDm v teorii graf\u016F \u010Dtvercov\u00E1 matice (dvourozm\u011Brn\u00E9 pole) obsahuj\u00EDc\u00ED vzd\u00E1lenosti mezi dvojicemi prvk\u016F mno\u017Einy. Podle pot\u0159eby m\u016F\u017Ee m\u00EDt vzd\u00E1lenost pou\u017E\u00EDvan\u00E1 v t\u00E9to matici r\u016Fzn\u00E9 v\u00FDznamy a m\u016F\u017Ee, ale nemus\u00ED b\u00FDt metrikou. Pro popis vzd\u00E1lenost\u00ED mezi prvky n-prvkov\u00E9 mno\u017Einy bude m\u00EDt matice vzd\u00E1lenost\u00ED velikost n\u00D7n. V grafov\u00FDch aplikac\u00EDch jsou tyto prvky obvykle ozna\u010Dovan\u00E9 jako body, uzly nebo vrcholy."@cs . . . "Distanzmatrix"@de . "\u041C\u0430\u0442\u0440\u0438\u0446\u0430 \u0440\u0430\u0441\u0441\u0442\u043E\u044F\u043D\u0438\u0439 \u2014 \u044D\u0442\u043E \u043A\u0432\u0430\u0434\u0440\u0430\u0442\u043D\u0430\u044F \u043C\u0430\u0442\u0440\u0438\u0446\u0430 \u0442\u0438\u043F\u0430 \u00AB\u043E\u0431\u044A\u0435\u043A\u0442-\u043E\u0431\u044A\u0435\u043A\u0442\u00BB (\u043F\u043E\u0440\u044F\u0434\u043A\u0430 n), \u0441\u043E\u0434\u0435\u0440\u0436\u0430\u0449\u0430\u044F \u0432 \u043A\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u044D\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u0432 \u0440\u0430\u0441\u0441\u0442\u043E\u044F\u043D\u0438\u044F \u043C\u0435\u0436\u0434\u0443 \u043E\u0431\u044A\u0435\u043A\u0442\u0430\u043C\u0438 \u0432 \u043C\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043A\u043E\u043C \u043F\u0440\u043E\u0441\u0442\u0440\u0430\u043D\u0441\u0442\u0432\u0435."@ru . .