"Fun\u00E7\u00F5es el\u00EDpticas de Weierstrass"@pt . "In der Mathematik bezeichnet die Weierstra\u00DFsche \u2118-Funktion (sprich \u201E\u2026 p-Funktion\u201C, siehe Weierstra\u00DF-p) eine bestimmte elliptische Funktion in Abh\u00E4ngigkeit eines Gitters. Benannt ist sie nach dem Mathematiker Karl Weierstra\u00DF. Mithilfe der Weierstra\u00DFschen \u2118-Funktion und ihrer Ableitung lassen sich elliptische Kurven \u00FCber den komplexen Zahlen parametrisieren."@de . . "En analyse complexe, les fonctions elliptiques de Weierstrass forment une classe importante de fonctions elliptiques c'est-\u00E0-dire de fonctions m\u00E9romorphes doublement p\u00E9riodiques. Toute fonction elliptique peut \u00EAtre exprim\u00E9e \u00E0 l'aide de celles-ci."@fr . "In matematica, le funzioni ellittiche di Weierstrass costituiscono uno dei due tipi esemplari di funzioni ellittiche (l'altro essendo costituito dalle funzioni ellittiche di Jacobi). Esse prendono nome dal matematico tedesco Karl Weierstrass (1815-1897)."@it . . . . . "24900"^^ . "Em matem\u00E1tica, fun\u00E7\u00F5es el\u00EDpticas de Weierstrass s\u00E3o fun\u00E7\u00F5es el\u00EDpticas que tomam uma forma particularmente simples (cf fun\u00E7\u00F5es el\u00EDpticas de Jacobi); elas s\u00E3o nomeadas em refer\u00EAncia a Karl Weierstrass. Esta classe de fun\u00E7\u00F5es s\u00E3o tamb\u00E9m tratadas como fun\u00E7\u00F5es P e geralmente escritas usando o s\u00EDmbolo (uma letra p estilizada chamada )."@pt . . "\u042D\u043B\u043B\u0438\u043F\u0442\u0438\u0447\u0435\u0441\u043A\u0438\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u0412\u0435\u0439\u0435\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430 \u2014 \u043E\u0434\u043D\u0438 \u0438\u0437 \u0441\u0430\u043C\u044B\u0445 \u043F\u0440\u043E\u0441\u0442\u044B\u0445 \u044D\u043B\u043B\u0438\u043F\u0442\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0444\u0443\u043D\u043A\u0446\u0438\u0439. \u042D\u0442\u043E\u0442 \u043A\u043B\u0430\u0441\u0441 \u0444\u0443\u043D\u043A\u0446\u0438\u0439 (\u0437\u0430\u0432\u0438\u0441\u044F\u0449\u0438\u0445 \u043E\u0442 \u044D\u043B\u043B\u0438\u043F\u0442\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u043A\u0440\u0438\u0432\u043E\u0439) \u043D\u0430\u0437\u0432\u0430\u043D \u0432 \u0447\u0435\u0441\u0442\u044C \u041A\u0430\u0440\u043B\u0430 \u0412\u0435\u0439\u0435\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430. \u0422\u0430\u043A\u0436\u0435 \u0438\u0445 \u043D\u0430\u0437\u044B\u0432\u0430\u044E\u0442 -\u0444\u0443\u043D\u043A\u0446\u0438\u044F\u043C\u0438 \u0412\u0435\u0439\u0435\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430, \u0438 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u044E\u0442 \u0434\u043B\u044F \u0438\u0445 \u043E\u0431\u043E\u0437\u043D\u0430\u0447\u0435\u043D\u0438\u044F \u0441\u0438\u043C\u0432\u043E\u043B (\u0441\u0442\u0438\u043B\u0438\u0437\u043E\u0432\u0430\u043D\u043D\u043E\u0435 P)."@ru . . "\u6570\u5B66\u306B\u304A\u3051\u308B\u30F4\u30A1\u30A4\u30A8\u30EB\u30B7\u30E5\u30C8\u30E9\u30B9\u306E\u6955\u5186\u51FD\u6570\uFF08\u30F4\u30A1\u30A4\u30A8\u30EB\u30B7\u30E5\u30C8\u30E9\u30B9\u306E\u3060\u3048\u3093\u304B\u3093\u3059\u3046\u3001\u82F1: Weierstrass's elliptic functions\uFF09\u306F\u3001\u30AB\u30FC\u30EB\u30FB\u30F4\u30A1\u30A4\u30A8\u30EB\u30B7\u30E5\u30C8\u30E9\u30B9\u306B\u540D\u3092\u56E0\u3080\u3001\u5358\u7D14\u306A\u5F62\u3092\u3057\u305F\u6955\u5186\u51FD\u6570\u306E\u4E00\u7A2E\u3067\u3042\u308B\u3002\u3053\u306E\u30AF\u30E9\u30B9\u306E\u6955\u5186\u51FD\u6570\u306F\u3001\u30DA\u30FC\u51FD\u6570\u3068\u547C\u3070\u308C\u3001\u4E00\u822C\u306B \u2118 \u306A\u308B\u8A18\u53F7\uFF08\u30F4\u30A1\u30A4\u30A8\u30EB\u30B7\u30E5\u30C8\u30E9\u30B9\u30FB\u30DA\u30FC\uFF09\u3067\u8868\u3055\u308C\u308B\u3002"@ja . . . . . . . "Funciones el\u00EDpticas de Weierstrass"@es . "Weierstra\u00DFsche \u2118-Funktion"@de . . "En analyse complexe, les fonctions elliptiques de Weierstrass forment une classe importante de fonctions elliptiques c'est-\u00E0-dire de fonctions m\u00E9romorphes doublement p\u00E9riodiques. Toute fonction elliptique peut \u00EAtre exprim\u00E9e \u00E0 l'aide de celles-ci."@fr . . . "\uBC14\uC774\uC5B4\uC288\uD2B8\uB77C\uC2A4 \uD0C0\uC6D0\uD568\uC218"@ko . "447181"^^ . . . . "\u6570\u5B66\u306B\u304A\u3051\u308B\u30F4\u30A1\u30A4\u30A8\u30EB\u30B7\u30E5\u30C8\u30E9\u30B9\u306E\u6955\u5186\u51FD\u6570\uFF08\u30F4\u30A1\u30A4\u30A8\u30EB\u30B7\u30E5\u30C8\u30E9\u30B9\u306E\u3060\u3048\u3093\u304B\u3093\u3059\u3046\u3001\u82F1: Weierstrass's elliptic functions\uFF09\u306F\u3001\u30AB\u30FC\u30EB\u30FB\u30F4\u30A1\u30A4\u30A8\u30EB\u30B7\u30E5\u30C8\u30E9\u30B9\u306B\u540D\u3092\u56E0\u3080\u3001\u5358\u7D14\u306A\u5F62\u3092\u3057\u305F\u6955\u5186\u51FD\u6570\u306E\u4E00\u7A2E\u3067\u3042\u308B\u3002\u3053\u306E\u30AF\u30E9\u30B9\u306E\u6955\u5186\u51FD\u6570\u306F\u3001\u30DA\u30FC\u51FD\u6570\u3068\u547C\u3070\u308C\u3001\u4E00\u822C\u306B \u2118 \u306A\u308B\u8A18\u53F7\uFF08\u30F4\u30A1\u30A4\u30A8\u30EB\u30B7\u30E5\u30C8\u30E9\u30B9\u30FB\u30DA\u30FC\uFF09\u3067\u8868\u3055\u308C\u308B\u3002"@ja . "\u0415\u043B\u0456\u043F\u0442\u0438\u0447\u043D\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457 \u0412\u0435\u0454\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430"@uk . . . . "Weierstrass elliptic functions"@en . "Fonction elliptique de Weierstrass"@fr . . . . . . . "\u5728\u6578\u5B78\u4E2D\uFF0C\u9B4F\u723E\u65AF\u7279\u62C9\u65AF\u6A62\u5713\u51FD\u6578\uFF08Weierstrass's elliptic functions\uFF09\u53C8\u7A31 p \u51FD\u6578\u4E26\u4E14\u4EE5 \u7B26\u865F\u8868\u793A\uFF0C\u662F\u683C\u5916\u7C21\u55AE\u7684\u4E00\u985E\u6A62\u5713\u51FD\u6578\uFF0C\u4E5F\u662F\u96C5\u53EF\u6BD4\u6A62\u5713\u51FD\u6578\u7684\u7279\u6B8A\u5F62\u5F0F\u3002\u5361\u723E\u00B7\u9B4F\u723E\u65AF\u7279\u62C9\u65AF\u9996\u5148\u7814\u7A76\u4E86\u9019\u4E9B\u51FD\u6578\u3002"@zh . . . . "En el \u00E1mbito de las matem\u00E1ticas, las funciones el\u00EDpticas de Weierstrass son un grupo de funciones el\u00EDpticas que poseen una forma particularmente simple (cf funciones el\u00EDpticas de Jacobi); han sido designadas en honor al matem\u00E1tico Karl Weierstrass. Esta clase de funciones es tambi\u00E9n llamada funciones P y generalmente se las escribe utilizando el s\u00EDmbolo (que corresponde a una letra P estilizada, llamada P de Weierstrass)."@es . . . "Weierstrass elliptiska funktion"@sv . . . . . "p/w097450"@en . . . "In matematica, le funzioni ellittiche di Weierstrass costituiscono uno dei due tipi esemplari di funzioni ellittiche (l'altro essendo costituito dalle funzioni ellittiche di Jacobi). Esse prendono nome dal matematico tedesco Karl Weierstrass (1815-1897)."@it . "\uBC14\uC774\uC5B4\uC288\uD2B8\uB77C\uC2A4 \uD0C0\uC6D0\uD568\uC218(Weierstra\u00DF\u6955\u5713\u51FD\u6578, \uC601\uC5B4: Weierstrass elliptic function)\uB294 \uD0C0\uC6D0\uD568\uC218\uC758 \uD558\uB098\uB2E4. \uD0C0\uC6D0\uACE1\uC120\uC758 \uC5F0\uAD6C\uC5D0 \uC911\uC694\uD55C \uC5ED\uD560\uC744 \uD55C\uB2E4. \uAE30\uD638\uB294 ."@ko . . . . . "Inom matematiken \u00E4r Weierstrass elliptiska funktion en elliptisk funktion uppkallad efter Karl Weierstrass. Funktionen betecknas vanligen med ."@sv . . . . "In mathematics, the Weierstrass elliptic functions are elliptic functions that take a particularly simple form. They are named for Karl Weierstrass. This class of functions are also referred to as \u2118-functions and they are usually denoted by the symbol \u2118, a uniquely fancy script p. They play an important role in the theory of elliptic functions. A \u2118-function together with its derivative can be used to parameterize elliptic curves and they generate the field of elliptic functions with respect to a given period lattice."@en . . . "Em matem\u00E1tica, fun\u00E7\u00F5es el\u00EDpticas de Weierstrass s\u00E3o fun\u00E7\u00F5es el\u00EDpticas que tomam uma forma particularmente simples (cf fun\u00E7\u00F5es el\u00EDpticas de Jacobi); elas s\u00E3o nomeadas em refer\u00EAncia a Karl Weierstrass. Esta classe de fun\u00E7\u00F5es s\u00E3o tamb\u00E9m tratadas como fun\u00E7\u00F5es P e geralmente escritas usando o s\u00EDmbolo (uma letra p estilizada chamada )."@pt . . . . . . . . "Funzioni ellittiche di Weierstrass"@it . . "\u30F4\u30A1\u30A4\u30A8\u30EB\u30B7\u30E5\u30C8\u30E9\u30B9\u306E\u6955\u5186\u51FD\u6570"@ja . . . . "\u9B4F\u723E\u65AF\u7279\u62C9\u65AF\u6A62\u5713\u51FD\u6578"@zh . . . . "\uBC14\uC774\uC5B4\uC288\uD2B8\uB77C\uC2A4 \uD0C0\uC6D0\uD568\uC218(Weierstra\u00DF\u6955\u5713\u51FD\u6578, \uC601\uC5B4: Weierstrass elliptic function)\uB294 \uD0C0\uC6D0\uD568\uC218\uC758 \uD558\uB098\uB2E4. \uD0C0\uC6D0\uACE1\uC120\uC758 \uC5F0\uAD6C\uC5D0 \uC911\uC694\uD55C \uC5ED\uD560\uC744 \uD55C\uB2E4. \uAE30\uD638\uB294 ."@ko . . . . . . . . . "\u5728\u6578\u5B78\u4E2D\uFF0C\u9B4F\u723E\u65AF\u7279\u62C9\u65AF\u6A62\u5713\u51FD\u6578\uFF08Weierstrass's elliptic functions\uFF09\u53C8\u7A31 p \u51FD\u6578\u4E26\u4E14\u4EE5 \u7B26\u865F\u8868\u793A\uFF0C\u662F\u683C\u5916\u7C21\u55AE\u7684\u4E00\u985E\u6A62\u5713\u51FD\u6578\uFF0C\u4E5F\u662F\u96C5\u53EF\u6BD4\u6A62\u5713\u51FD\u6578\u7684\u7279\u6B8A\u5F62\u5F0F\u3002\u5361\u723E\u00B7\u9B4F\u723E\u65AF\u7279\u62C9\u65AF\u9996\u5148\u7814\u7A76\u4E86\u9019\u4E9B\u51FD\u6578\u3002"@zh . "Weierstrass elliptic function"@en . "\u042D\u043B\u043B\u0438\u043F\u0442\u0438\u0447\u0435\u0441\u043A\u0438\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u0412\u0435\u0439\u0435\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430 \u2014 \u043E\u0434\u043D\u0438 \u0438\u0437 \u0441\u0430\u043C\u044B\u0445 \u043F\u0440\u043E\u0441\u0442\u044B\u0445 \u044D\u043B\u043B\u0438\u043F\u0442\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0444\u0443\u043D\u043A\u0446\u0438\u0439. \u042D\u0442\u043E\u0442 \u043A\u043B\u0430\u0441\u0441 \u0444\u0443\u043D\u043A\u0446\u0438\u0439 (\u0437\u0430\u0432\u0438\u0441\u044F\u0449\u0438\u0445 \u043E\u0442 \u044D\u043B\u043B\u0438\u043F\u0442\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u043A\u0440\u0438\u0432\u043E\u0439) \u043D\u0430\u0437\u0432\u0430\u043D \u0432 \u0447\u0435\u0441\u0442\u044C \u041A\u0430\u0440\u043B\u0430 \u0412\u0435\u0439\u0435\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430. \u0422\u0430\u043A\u0436\u0435 \u0438\u0445 \u043D\u0430\u0437\u044B\u0432\u0430\u044E\u0442 -\u0444\u0443\u043D\u043A\u0446\u0438\u044F\u043C\u0438 \u0412\u0435\u0439\u0435\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430, \u0438 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u044E\u0442 \u0434\u043B\u044F \u0438\u0445 \u043E\u0431\u043E\u0437\u043D\u0430\u0447\u0435\u043D\u0438\u044F \u0441\u0438\u043C\u0432\u043E\u043B (\u0441\u0442\u0438\u043B\u0438\u0437\u043E\u0432\u0430\u043D\u043D\u043E\u0435 P)."@ru . "In mathematics, the Weierstrass elliptic functions are elliptic functions that take a particularly simple form. They are named for Karl Weierstrass. This class of functions are also referred to as \u2118-functions and they are usually denoted by the symbol \u2118, a uniquely fancy script p. They play an important role in the theory of elliptic functions. A \u2118-function together with its derivative can be used to parameterize elliptic curves and they generate the field of elliptic functions with respect to a given period lattice."@en . . . . . . . . . "\u0415\u043B\u0456\u043F\u0442\u0438\u0447\u043D\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457 \u0412\u0435\u0454\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430 \u2014 \u043E\u0434\u043D\u0456 \u0437 \u043D\u0430\u0439\u043F\u0440\u043E\u0441\u0442\u0456\u0448\u0438\u0445 \u0435\u043B\u0456\u043F\u0442\u0438\u0447\u043D\u0438\u0445 \u0444\u0443\u043D\u043A\u0446\u0456\u0439. \u0426\u0435\u0439 \u043A\u043B\u0430\u0441 \u0444\u0443\u043D\u043A\u0446\u0456\u0439 \u043D\u0430\u0437\u0432\u0430\u043D\u0438\u0439 \u043D\u0430 \u0447\u0435\u0441\u0442\u044C \u041A\u0430\u0440\u043B\u0430 \u0412\u0435\u0454\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430. \u0422\u0430\u043A\u043E\u0436 \u0457\u0445 \u043D\u0430\u0437\u0438\u0432\u0430\u044E\u0442\u044C -\u0444\u0443\u043D\u043A\u0446\u0456\u044F\u043C\u0438 \u0412\u0435\u0454\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430, \u0456 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C \u0434\u043B\u044F \u0457\u0445 \u043F\u043E\u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u0441\u0438\u043C\u0432\u043E\u043B (\u0441\u0442\u0438\u043B\u0456\u0437\u043E\u0432\u0430\u043D\u0435 P)."@uk . "En el \u00E1mbito de las matem\u00E1ticas, las funciones el\u00EDpticas de Weierstrass son un grupo de funciones el\u00EDpticas que poseen una forma particularmente simple (cf funciones el\u00EDpticas de Jacobi); han sido designadas en honor al matem\u00E1tico Karl Weierstrass. Esta clase de funciones es tambi\u00E9n llamada funciones P y generalmente se las escribe utilizando el s\u00EDmbolo (que corresponde a una letra P estilizada, llamada P de Weierstrass)."@es . . . . . . . . . . . . "In der Mathematik bezeichnet die Weierstra\u00DFsche \u2118-Funktion (sprich \u201E\u2026 p-Funktion\u201C, siehe Weierstra\u00DF-p) eine bestimmte elliptische Funktion in Abh\u00E4ngigkeit eines Gitters. Benannt ist sie nach dem Mathematiker Karl Weierstra\u00DF. Mithilfe der Weierstra\u00DFschen \u2118-Funktion und ihrer Ableitung lassen sich elliptische Kurven \u00FCber den komplexen Zahlen parametrisieren."@de . . . . "\u0415\u043B\u0456\u043F\u0442\u0438\u0447\u043D\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457 \u0412\u0435\u0454\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430 \u2014 \u043E\u0434\u043D\u0456 \u0437 \u043D\u0430\u0439\u043F\u0440\u043E\u0441\u0442\u0456\u0448\u0438\u0445 \u0435\u043B\u0456\u043F\u0442\u0438\u0447\u043D\u0438\u0445 \u0444\u0443\u043D\u043A\u0446\u0456\u0439. \u0426\u0435\u0439 \u043A\u043B\u0430\u0441 \u0444\u0443\u043D\u043A\u0446\u0456\u0439 \u043D\u0430\u0437\u0432\u0430\u043D\u0438\u0439 \u043D\u0430 \u0447\u0435\u0441\u0442\u044C \u041A\u0430\u0440\u043B\u0430 \u0412\u0435\u0454\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430. \u0422\u0430\u043A\u043E\u0436 \u0457\u0445 \u043D\u0430\u0437\u0438\u0432\u0430\u044E\u0442\u044C -\u0444\u0443\u043D\u043A\u0446\u0456\u044F\u043C\u0438 \u0412\u0435\u0454\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430, \u0456 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C \u0434\u043B\u044F \u0457\u0445 \u043F\u043E\u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u0441\u0438\u043C\u0432\u043E\u043B (\u0441\u0442\u0438\u043B\u0456\u0437\u043E\u0432\u0430\u043D\u0435 P)."@uk . "Inom matematiken \u00E4r Weierstrass elliptiska funktion en elliptisk funktion uppkallad efter Karl Weierstrass. Funktionen betecknas vanligen med ."@sv . . . . . "\u042D\u043B\u043B\u0438\u043F\u0442\u0438\u0447\u0435\u0441\u043A\u0438\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u0412\u0435\u0439\u0435\u0440\u0448\u0442\u0440\u0430\u0441\u0441\u0430"@ru . "1118478989"^^ . . . . . . . .