. . "\uC21C\uC11C\uB860\uC5D0\uC11C \uC870\uBC00 \uC21C\uC11C(\u7A20\u5BC6\u9806\u5E8F, \uC601\uC5B4: dense order)\uB294 \uC11C\uB85C \uB2E4\uB978 \uB450 \uBE44\uAD50 \uAC00\uB2A5 \uC6D0\uC18C \uC0AC\uC774\uC5D0 \uD56D\uC0C1 \uC81C3\uC758 \uC6D0\uC18C\uAC00 \uC874\uC7AC\uD558\uB294 \uBD80\uBD84 \uC21C\uC11C\uC774\uB2E4."@ko . . . . . . . . . "Ordine denso"@it . . "In teoria degli ordini, una branca della matematica, una relazione d'ordine su un insieme X \u00E8 detta densa se per ogni x, y in X tali che x < y esiste un punto z per cui x < z < y. I razionali e reali con gli ordinamenti usuali sono densi, mentre non lo sono gli interi. L'esistenza di un sottoinsieme denso e numerabile di un ordine \u00E8 una condizione necessaria e sufficiente all'esistenza di una funzione che \"rappresenti\" l'ordinamento, cio\u00E8 tale che per ogni x, y:"@it . "\u041F\u043B\u043E\u0442\u043D\u044B\u0439 \u043F\u043E\u0440\u044F\u0434\u043E\u043A \u2014 \u044D\u0442\u043E \u043E\u0442\u043D\u043E\u0448\u0435\u043D\u0438\u0435 \u043C\u0435\u0436\u0434\u0443 \u044D\u043B\u0435\u043C\u0435\u043D\u0442\u0430\u043C\u0438 \u043C\u043D\u043E\u0436\u0435\u0441\u0442\u0432 \u0432 \u0447\u0430\u0441\u0442\u0438\u0447\u043D\u043E\u043C \u0438\u043B\u0438 \u043B\u0438\u043D\u0435\u0439\u043D\u043E\u043C \u043F\u043E\u0440\u044F\u0434\u043A\u0435 (\u043E\u0431\u043E\u0437\u043D\u0430\u0447\u0438\u043C \u0435\u0433\u043E <) \u043D\u0430 \u043C\u043D\u043E\u0436\u0435\u0441\u0442\u0432\u0435 X, \u043A\u043E\u0433\u0434\u0430 \u0434\u043B\u044F \u0432\u0441\u0435\u0445 x \u0438 y \u0438\u0437 X, \u0434\u043B\u044F \u043A\u043E\u0442\u043E\u0440\u044B\u0445 \u0432\u044B\u043F\u043E\u043B\u043D\u044F\u0435\u0442\u0441\u044F x < y, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u044D\u043B\u0435\u043C\u0435\u043D\u0442 z \u0432 X, \u0442\u0430\u043A\u043E\u0439 \u0447\u0442\u043E x < z < y. \u0418\u043D\u044B\u043C\u0438 \u0441\u043B\u043E\u0432\u0430\u043C\u0438, \u043F\u043E\u0440\u044F\u0434\u043E\u043A \u043D\u0430\u0437\u044B\u0432\u0430\u044E\u0442 \u043F\u043B\u043E\u0442\u043D\u044B\u043C, \u043A\u043E\u0433\u0434\u0430 \u043D\u0435\u0442 \u0441\u043E\u0441\u0435\u0434\u043D\u0438\u0445 \u044D\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u0432. \u041F\u043E\u0441\u043A\u043E\u043B\u044C\u043A\u0443 \u043C\u0435\u0436\u0434\u0443 \u043B\u044E\u0431\u044B\u043C\u0438 \u0434\u0432\u0443\u043C\u044F \u044D\u043B\u0435\u043C\u0435\u043D\u0442\u0430\u043C\u0438 \u043F\u043B\u043E\u0442\u043D\u043E\u0433\u043E \u043F\u043E\u0440\u044F\u0434\u043A\u0430 \u0435\u0441\u0442\u044C \u0435\u0449\u0451 \u0445\u043E\u0442\u044F \u0431\u044B \u043E\u0434\u0438\u043D, \u043B\u044E\u0431\u043E\u0439 \u043E\u0442\u0440\u0435\u0437\u043E\u043A \u043F\u043B\u043E\u0442\u043D\u043E\u0433\u043E \u043F\u043E\u0440\u044F\u0434\u043A\u0430 \u0431\u0435\u0441\u043A\u043E\u043D\u0435\u0447\u0435\u043D."@ru . . . . . . "Dichte Ordnung"@de . "In mathematics, a partial order or total order < on a set is said to be dense if, for all and in for which , there is a in such that . That is, for any two elements, one less than the other, there is another element between them. For total orders this can be simplified to \"for any two distinct elements, there is another element between them\", since all elements of a total order are comparable."@en . . . "In mathematics, a partial order or total order < on a set is said to be dense if, for all and in for which , there is a in such that . That is, for any two elements, one less than the other, there is another element between them. For total orders this can be simplified to \"for any two distinct elements, there is another element between them\", since all elements of a total order are comparable."@en . . "Ordre dense"@fr . . "\u041F\u043B\u043E\u0442\u043D\u044B\u0439 \u043F\u043E\u0440\u044F\u0434\u043E\u043A"@ru . . . "6320997"^^ . . "\u7A20\u5BC6\u95A2\u4FC2"@ja . . "\uC870\uBC00 \uC21C\uC11C"@ko . "Hust\u00E9 uspo\u0159\u00E1d\u00E1n\u00ED je matematick\u00FD pojem z oboru teorie mno\u017Ein, konkr\u00E9tn\u011Bji z teorie uspo\u0159\u00E1d\u00E1n\u00ED.Motivac\u00ED k zaveden\u00ED tohoto pojmu je zobecn\u011Bn\u00ED vlastnost\u00ED mno\u017Einy racion\u00E1ln\u00EDch \u010D\u00EDsel p\u0159i b\u011B\u017En\u00E9m uspo\u0159\u00E1d\u00E1n\u00ED podle velikosti."@cs . "\u0429\u0456\u043B\u044C\u043D\u0438\u0439 \u043F\u043E\u0440\u044F\u0434\u043E\u043A \u2014 \u0431\u0456\u043D\u0430\u0440\u043D\u0435 \u0432\u0456\u0434\u043D\u043E\u0448\u0435\u043D\u043D\u044F \u043C\u0456\u0436 \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0430\u043C\u0438 \u043C\u043D\u043E\u0436\u0438\u043D \u0443 \u0447\u0430\u0441\u0442\u043A\u043E\u0432\u043E\u043C\u0443 \u0430\u0431\u043E \u043B\u0456\u043D\u0456\u0439\u043D\u043E\u043C\u0443 \u043F\u043E\u0440\u044F\u0434\u043A\u0443 (\u043F\u043E\u0437\u043D\u0430\u0447\u0438\u043C\u043E \u0439\u043E\u0433\u043E <) \u043D\u0430 \u043C\u043D\u043E\u0436\u0438\u043D\u0456 X, \u043A\u043E\u043B\u0438 \u0434\u043B\u044F \u0432\u0441\u0456\u0445 x \u0456 y \u0437 X, \u0434\u043B\u044F \u044F\u043A\u0438\u0445 \u0432\u0438\u043A\u043E\u043D\u0443\u0454\u0442\u044C\u0441\u044F x < y, \u0456\u0441\u043D\u0443\u0454 \u0435\u043B\u0435\u043C\u0435\u043D\u0442 z \u0432 X, \u0442\u0430\u043A\u0438\u0439 \u0449\u043E x < z < y. \u0406\u043D\u0448\u0438\u043C\u0438 \u0441\u043B\u043E\u0432\u0430\u043C\u0438, \u043F\u043E\u0440\u044F\u0434\u043E\u043A \u043D\u0430\u0437\u0438\u0432\u0430\u044E\u0442\u044C \u0449\u0456\u043B\u044C\u043D\u0438\u043C, \u043A\u043E\u043B\u0438 \u043D\u0435\u043C\u0430\u0454 \u0441\u0443\u0441\u0456\u0434\u043D\u0456\u0445 \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0456\u0432. \u041E\u0441\u043A\u0456\u043B\u044C\u043A\u0438 \u043C\u0456\u0436 \u0431\u0443\u0434\u044C-\u044F\u043A\u0438\u043C\u0438 \u0434\u0432\u043E\u043C\u0430 \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0430\u043C\u0438 \u0449\u0456\u043B\u044C\u043D\u043E\u0433\u043E \u043F\u043E\u0440\u044F\u0434\u043A\u0443 \u0454 \u0449\u0435 \u0445\u043E\u0447\u0430 \u0431 \u043E\u0434\u0438\u043D, \u0431\u0443\u0434\u044C-\u044F\u043A\u0438\u0439 \u0432\u0456\u0434\u0440\u0456\u0437\u043E\u043A \u0449\u0456\u043B\u044C\u043D\u043E\u0433\u043E \u043F\u043E\u0440\u044F\u0434\u043A\u0443 \u043D\u0435\u0441\u043A\u0456\u043D\u0447\u0435\u043D\u043D\u0438\u0439."@uk . . . "\u6570\u5B66\u306B\u304A\u3051\u308B\u7A20\u5BC6\u95A2\u4FC2\uFF08\u3061\u3085\u3046\u307F\u3064\u304B\u3093\u3051\u3044\u3001\u82F1: dense relation\uFF09\u3068\u306F\u3001\u96C6\u5408 X \u4E0A\u306E\u4E8C\u9805\u95A2\u4FC2 R \u3067\u3042\u3063\u3066\u3001X \u306E R-\u95A2\u4FC2\u306B\u3042\u308B\u4EFB\u610F\u306E\u4E8C\u5143 x, y \u306B\u5BFE\u3057\u3001X \u306E\u5143 z \u3067 x \u3068\u3082 y \u3068\u3082 R-\u95A2\u4FC2\u306B\u3042\u308B\u3088\u3046\u306A\u3082\u306E\u304C\u5B58\u5728\u3059\u308B\u3082\u306E\u3092\u3044\u3046\u3002 \u8A18\u53F7\u3067\u66F8\u3051\u3070\u3001 \u3068\u306A\u308B\u3002 \u4EFB\u610F\u306E\u53CD\u5C04\u95A2\u4FC2\u306F\u7A20\u5BC6\u3067\u3042\u308B\u3002 \u4F8B\u3048\u3070\u3001\u4E8C\u9805\u95A2\u4FC2\u3068\u3057\u3066\u72ED\u7FA9\u306E\u534A\u9806\u5E8F < \u306F\u305D\u308C\u304C\u95A2\u4FC2\u3068\u3057\u3066\u7A20\u5BC6\u3067\u3042\u308B\u3068\u304D\u3001\u7A20\u5BC6\u9806\u5E8F(dense order)\u3067\u3042\u308B\u3068\u3044\u3046\u3002\u3059\u306A\u308F\u3061\u3001\u96C6\u5408 X \u4E0A\u306E\u534A\u9806\u5E8F \u2264 \u304C\uFF08\u3042\u308B\u3044\u306F\u9806\u5E8F\u96C6\u5408 (X, \u2264) \u304C\uFF09\u7A20\u5BC6\u3067\u3042\u308B\u3068\u306F\u3001X \u306E\u4EFB\u610F\u306E\u4E8C\u5143 x, y \u3067 x < y \u3092\u6E80\u305F\u3059\u3082\u306E\u306B\u5BFE\u3057\u3001X \u306E\u5143 z \u3067 x < z < y \u3092\u6E80\u305F\u3059\u3082\u306E\u304C\u5FC5\u305A\u5B58\u5728\u3059\u308B\u3053\u3068\u3092\u8A00\u3046\u3002 \u6709\u7406\u6570\u306E\u5168\u4F53\u306B\u901A\u5E38\u306E\u5927\u5C0F\u95A2\u4FC2\u306B\u3088\u308B\u9806\u5E8F\u3092\u5165\u308C\u305F\u3082\u306E\u306F\u3001\u3053\u306E\u610F\u5473\u3067\u7A20\u5BC6\u3067\u3042\u308B\uFF08\u5B9F\u6570\u5168\u4F53\u306E\u306A\u3059\u9806\u5E8F\u96C6\u5408\u3082\u540C\u69D8\uFF09\u3002\u4ED6\u65B9\u3001\u6574\u6570\u5168\u4F53\u306E\u6210\u3059\u96C6\u5408\u306B\u901A\u5E38\u306E\u9806\u5E8F\u3092\u5165\u308C\u305F\u3082\u306E\u306F\u7A20\u5BC6\u3067\u306A\u3044\u3002"@ja . . . . . "hidden"@en . . . "Proof"@en . "Hust\u00E9 uspo\u0159\u00E1d\u00E1n\u00ED"@cs . . . . . . "\u0429\u0456\u043B\u044C\u043D\u0438\u0439 \u043F\u043E\u0440\u044F\u0434\u043E\u043A"@uk . "1124485423"^^ . . . "Dichte Ordnung ist ein mathematischer Begriff aus dem Gebiet der Ordnungstheorie. Eine Ordnung hei\u00DFt dicht, wenn zwischen je zwei Elementen ein drittes liegt."@de . . . "Orden denso"@es . "Dichte Ordnung ist ein mathematischer Begriff aus dem Gebiet der Ordnungstheorie. Eine Ordnung hei\u00DFt dicht, wenn zwischen je zwei Elementen ein drittes liegt."@de . . . . . "In teoria degli ordini, una branca della matematica, una relazione d'ordine su un insieme X \u00E8 detta densa se per ogni x, y in X tali che x < y esiste un punto z per cui x < z < y. I razionali e reali con gli ordinamenti usuali sono densi, mentre non lo sono gli interi. Un sottoinsieme D di un insieme ordinato X si dice denso in X se D \u2229 (x,y) \u2260 \u2205 per ogni x < y (la notazione (x,y) sta per l'intervallo di elementi strettamente compresi tra x e y), cio\u00E8 per ogni x < y esiste uno z in D tale che x < z < y. Se l'insieme X \u00E8 quello dei numeri reali e l'ordinamento \u00E8 quello usuale, allora D \u00E8 denso se e solo se \u00E8 denso in senso topologico, in quanto gli intervalli aperti costituiscono una base della topologia di R. L'esistenza di un sottoinsieme denso e numerabile di un ordine \u00E8 una condizione necessaria e sufficiente all'esistenza di una funzione che \"rappresenti\" l'ordinamento, cio\u00E8 tale che per ogni x, y:"@it . . . . . . "La notion d'ordre dense est une notion de math\u00E9matiques, en lien avec la notion de relation d'ordre."@fr . . . "Dense order"@en . . "\u041F\u043B\u043E\u0442\u043D\u044B\u0439 \u043F\u043E\u0440\u044F\u0434\u043E\u043A \u2014 \u044D\u0442\u043E \u043E\u0442\u043D\u043E\u0448\u0435\u043D\u0438\u0435 \u043C\u0435\u0436\u0434\u0443 \u044D\u043B\u0435\u043C\u0435\u043D\u0442\u0430\u043C\u0438 \u043C\u043D\u043E\u0436\u0435\u0441\u0442\u0432 \u0432 \u0447\u0430\u0441\u0442\u0438\u0447\u043D\u043E\u043C \u0438\u043B\u0438 \u043B\u0438\u043D\u0435\u0439\u043D\u043E\u043C \u043F\u043E\u0440\u044F\u0434\u043A\u0435 (\u043E\u0431\u043E\u0437\u043D\u0430\u0447\u0438\u043C \u0435\u0433\u043E <) \u043D\u0430 \u043C\u043D\u043E\u0436\u0435\u0441\u0442\u0432\u0435 X, \u043A\u043E\u0433\u0434\u0430 \u0434\u043B\u044F \u0432\u0441\u0435\u0445 x \u0438 y \u0438\u0437 X, \u0434\u043B\u044F \u043A\u043E\u0442\u043E\u0440\u044B\u0445 \u0432\u044B\u043F\u043E\u043B\u043D\u044F\u0435\u0442\u0441\u044F x < y, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u044D\u043B\u0435\u043C\u0435\u043D\u0442 z \u0432 X, \u0442\u0430\u043A\u043E\u0439 \u0447\u0442\u043E x < z < y. \u0418\u043D\u044B\u043C\u0438 \u0441\u043B\u043E\u0432\u0430\u043C\u0438, \u043F\u043E\u0440\u044F\u0434\u043E\u043A \u043D\u0430\u0437\u044B\u0432\u0430\u044E\u0442 \u043F\u043B\u043E\u0442\u043D\u044B\u043C, \u043A\u043E\u0433\u0434\u0430 \u043D\u0435\u0442 \u0441\u043E\u0441\u0435\u0434\u043D\u0438\u0445 \u044D\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u0432. \u041F\u043E\u0441\u043A\u043E\u043B\u044C\u043A\u0443 \u043C\u0435\u0436\u0434\u0443 \u043B\u044E\u0431\u044B\u043C\u0438 \u0434\u0432\u0443\u043C\u044F \u044D\u043B\u0435\u043C\u0435\u043D\u0442\u0430\u043C\u0438 \u043F\u043B\u043E\u0442\u043D\u043E\u0433\u043E \u043F\u043E\u0440\u044F\u0434\u043A\u0430 \u0435\u0441\u0442\u044C \u0435\u0449\u0451 \u0445\u043E\u0442\u044F \u0431\u044B \u043E\u0434\u0438\u043D, \u043B\u044E\u0431\u043E\u0439 \u043E\u0442\u0440\u0435\u0437\u043E\u043A \u043F\u043B\u043E\u0442\u043D\u043E\u0433\u043E \u043F\u043E\u0440\u044F\u0434\u043A\u0430 \u0431\u0435\u0441\u043A\u043E\u043D\u0435\u0447\u0435\u043D."@ru . . "En matem\u00E1tica, y particularmente en la teor\u00EDa del orden, un orden parcial \u2264 en un conjunto X es denso (o denso-en-s\u00ED-mismo) si para todo x e y en X para los cuales x < y, existe un z en X tal que x < z < y. Los n\u00FAmeros racionales con la ordenaci\u00F3n usual son en este sentido un conjunto densamente ordenado, as\u00ED como tambi\u00E9n lo son los n\u00FAmeros reales. Por otro lado, la ordenaci\u00F3n usual en los enteros no es densa."@es . . "For the element , due to the Archimedean property, if , there exists a largest integer with , and if , , and there exists a largest integer with . As a result, . For any two elements with , and . Therefore is dense."@en . . . . . "La notion d'ordre dense est une notion de math\u00E9matiques, en lien avec la notion de relation d'ordre."@fr . . "En matem\u00E1tica, y particularmente en la teor\u00EDa del orden, un orden parcial \u2264 en un conjunto X es denso (o denso-en-s\u00ED-mismo) si para todo x e y en X para los cuales x < y, existe un z en X tal que x < z < y. Los n\u00FAmeros racionales con la ordenaci\u00F3n usual son en este sentido un conjunto densamente ordenado, as\u00ED como tambi\u00E9n lo son los n\u00FAmeros reales. Por otro lado, la ordenaci\u00F3n usual en los enteros no es densa."@es . . . "Hust\u00E9 uspo\u0159\u00E1d\u00E1n\u00ED je matematick\u00FD pojem z oboru teorie mno\u017Ein, konkr\u00E9tn\u011Bji z teorie uspo\u0159\u00E1d\u00E1n\u00ED.Motivac\u00ED k zaveden\u00ED tohoto pojmu je zobecn\u011Bn\u00ED vlastnost\u00ED mno\u017Einy racion\u00E1ln\u00EDch \u010D\u00EDsel p\u0159i b\u011B\u017En\u00E9m uspo\u0159\u00E1d\u00E1n\u00ED podle velikosti."@cs . "\uC21C\uC11C\uB860\uC5D0\uC11C \uC870\uBC00 \uC21C\uC11C(\u7A20\u5BC6\u9806\u5E8F, \uC601\uC5B4: dense order)\uB294 \uC11C\uB85C \uB2E4\uB978 \uB450 \uBE44\uAD50 \uAC00\uB2A5 \uC6D0\uC18C \uC0AC\uC774\uC5D0 \uD56D\uC0C1 \uC81C3\uC758 \uC6D0\uC18C\uAC00 \uC874\uC7AC\uD558\uB294 \uBD80\uBD84 \uC21C\uC11C\uC774\uB2E4."@ko . "\u6570\u5B66\u306B\u304A\u3051\u308B\u7A20\u5BC6\u95A2\u4FC2\uFF08\u3061\u3085\u3046\u307F\u3064\u304B\u3093\u3051\u3044\u3001\u82F1: dense relation\uFF09\u3068\u306F\u3001\u96C6\u5408 X \u4E0A\u306E\u4E8C\u9805\u95A2\u4FC2 R \u3067\u3042\u3063\u3066\u3001X \u306E R-\u95A2\u4FC2\u306B\u3042\u308B\u4EFB\u610F\u306E\u4E8C\u5143 x, y \u306B\u5BFE\u3057\u3001X \u306E\u5143 z \u3067 x \u3068\u3082 y \u3068\u3082 R-\u95A2\u4FC2\u306B\u3042\u308B\u3088\u3046\u306A\u3082\u306E\u304C\u5B58\u5728\u3059\u308B\u3082\u306E\u3092\u3044\u3046\u3002 \u8A18\u53F7\u3067\u66F8\u3051\u3070\u3001 \u3068\u306A\u308B\u3002 \u4EFB\u610F\u306E\u53CD\u5C04\u95A2\u4FC2\u306F\u7A20\u5BC6\u3067\u3042\u308B\u3002 \u4F8B\u3048\u3070\u3001\u4E8C\u9805\u95A2\u4FC2\u3068\u3057\u3066\u72ED\u7FA9\u306E\u534A\u9806\u5E8F < \u306F\u305D\u308C\u304C\u95A2\u4FC2\u3068\u3057\u3066\u7A20\u5BC6\u3067\u3042\u308B\u3068\u304D\u3001\u7A20\u5BC6\u9806\u5E8F(dense order)\u3067\u3042\u308B\u3068\u3044\u3046\u3002\u3059\u306A\u308F\u3061\u3001\u96C6\u5408 X \u4E0A\u306E\u534A\u9806\u5E8F \u2264 \u304C\uFF08\u3042\u308B\u3044\u306F\u9806\u5E8F\u96C6\u5408 (X, \u2264) \u304C\uFF09\u7A20\u5BC6\u3067\u3042\u308B\u3068\u306F\u3001X \u306E\u4EFB\u610F\u306E\u4E8C\u5143 x, y \u3067 x < y \u3092\u6E80\u305F\u3059\u3082\u306E\u306B\u5BFE\u3057\u3001X \u306E\u5143 z \u3067 x < z < y \u3092\u6E80\u305F\u3059\u3082\u306E\u304C\u5FC5\u305A\u5B58\u5728\u3059\u308B\u3053\u3068\u3092\u8A00\u3046\u3002 \u6709\u7406\u6570\u306E\u5168\u4F53\u306B\u901A\u5E38\u306E\u5927\u5C0F\u95A2\u4FC2\u306B\u3088\u308B\u9806\u5E8F\u3092\u5165\u308C\u305F\u3082\u306E\u306F\u3001\u3053\u306E\u610F\u5473\u3067\u7A20\u5BC6\u3067\u3042\u308B\uFF08\u5B9F\u6570\u5168\u4F53\u306E\u306A\u3059\u9806\u5E8F\u96C6\u5408\u3082\u540C\u69D8\uFF09\u3002\u4ED6\u65B9\u3001\u6574\u6570\u5168\u4F53\u306E\u6210\u3059\u96C6\u5408\u306B\u901A\u5E38\u306E\u9806\u5E8F\u3092\u5165\u308C\u305F\u3082\u306E\u306F\u7A20\u5BC6\u3067\u306A\u3044\u3002"@ja . . "\u0429\u0456\u043B\u044C\u043D\u0438\u0439 \u043F\u043E\u0440\u044F\u0434\u043E\u043A \u2014 \u0431\u0456\u043D\u0430\u0440\u043D\u0435 \u0432\u0456\u0434\u043D\u043E\u0448\u0435\u043D\u043D\u044F \u043C\u0456\u0436 \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0430\u043C\u0438 \u043C\u043D\u043E\u0436\u0438\u043D \u0443 \u0447\u0430\u0441\u0442\u043A\u043E\u0432\u043E\u043C\u0443 \u0430\u0431\u043E \u043B\u0456\u043D\u0456\u0439\u043D\u043E\u043C\u0443 \u043F\u043E\u0440\u044F\u0434\u043A\u0443 (\u043F\u043E\u0437\u043D\u0430\u0447\u0438\u043C\u043E \u0439\u043E\u0433\u043E <) \u043D\u0430 \u043C\u043D\u043E\u0436\u0438\u043D\u0456 X, \u043A\u043E\u043B\u0438 \u0434\u043B\u044F \u0432\u0441\u0456\u0445 x \u0456 y \u0437 X, \u0434\u043B\u044F \u044F\u043A\u0438\u0445 \u0432\u0438\u043A\u043E\u043D\u0443\u0454\u0442\u044C\u0441\u044F x < y, \u0456\u0441\u043D\u0443\u0454 \u0435\u043B\u0435\u043C\u0435\u043D\u0442 z \u0432 X, \u0442\u0430\u043A\u0438\u0439 \u0449\u043E x < z < y. \u0406\u043D\u0448\u0438\u043C\u0438 \u0441\u043B\u043E\u0432\u0430\u043C\u0438, \u043F\u043E\u0440\u044F\u0434\u043E\u043A \u043D\u0430\u0437\u0438\u0432\u0430\u044E\u0442\u044C \u0449\u0456\u043B\u044C\u043D\u0438\u043C, \u043A\u043E\u043B\u0438 \u043D\u0435\u043C\u0430\u0454 \u0441\u0443\u0441\u0456\u0434\u043D\u0456\u0445 \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0456\u0432. \u041E\u0441\u043A\u0456\u043B\u044C\u043A\u0438 \u043C\u0456\u0436 \u0431\u0443\u0434\u044C-\u044F\u043A\u0438\u043C\u0438 \u0434\u0432\u043E\u043C\u0430 \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0430\u043C\u0438 \u0449\u0456\u043B\u044C\u043D\u043E\u0433\u043E \u043F\u043E\u0440\u044F\u0434\u043A\u0443 \u0454 \u0449\u0435 \u0445\u043E\u0447\u0430 \u0431 \u043E\u0434\u0438\u043D, \u0431\u0443\u0434\u044C-\u044F\u043A\u0438\u0439 \u0432\u0456\u0434\u0440\u0456\u0437\u043E\u043A \u0449\u0456\u043B\u044C\u043D\u043E\u0433\u043E \u043F\u043E\u0440\u044F\u0434\u043A\u0443 \u043D\u0435\u0441\u043A\u0456\u043D\u0447\u0435\u043D\u043D\u0438\u0439."@uk . . "5141"^^ . . . .