. . . . . "Tiempo local (matem\u00E1tica)" . . . . . . . . "\u0641\u064A \u0627\u0644\u0646\u0638\u0631\u064A\u0629 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A\u064A\u0629 \u0644\u0644\u0639\u0645\u0644\u064A\u0627\u062A \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064A\u0629, \u064A\u0643\u0648\u0646 \u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u0645\u062D\u0644\u064A (\u0628\u0627\u0644\u0625\u0646\u062C\u0644\u064A\u0632\u064A\u0629: local time) \u0647\u0648 \u0639\u0628\u0627\u0631\u0629 \u0639\u0646 \u062E\u0627\u0635\u064A\u0629 \u0644\u0639\u0645\u0644\u064A\u0629 \u0627\u0644\u0627\u0646\u062A\u0634\u0627\u0631 \u0645\u062B\u0644 \u0627\u0644\u062D\u0631\u0643\u0629 \u0627\u0644\u0628\u0631\u0627\u0648\u0646\u064A\u0629 \u0627\u0644\u062A\u064A \u062A\u0645\u064A\u0632 \u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u062A\u064A \u062A\u0642\u0636\u064A\u0647\u0627 \u0627\u0644\u062C\u0633\u064A\u0645 \u0639\u0646\u062F \u0645\u0633\u062A\u0648\u0649 \u0645\u0639\u064A\u0646. \u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u0645\u062D\u0644\u064A \u0645\u0641\u064A\u062F \u062C\u062F\u0627\u064B \u0648 \u062A\u0638\u0647\u0631 \u0641\u064A \u0627\u0644\u063A\u0627\u0644\u0628 \u0641\u064A \u0627\u0644\u0635\u064A\u063A \u0627\u0644\u062A\u0643\u0627\u0645\u0644\u064A\u0629 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064A\u0629 \u0627\u0644\u0645\u062E\u062A\u0644\u0641\u0629 \u0625\u0630\u0627 \u0643\u0627\u0646\u062A \u0627\u0644\u0643\u0645\u064A\u0651\u0629 \u0627\u0644\u0645\u062A\u0643\u0627\u0645\u0644\u0629 \u0633\u0644\u0633\u0629 \u0628\u0634\u0643\u0644 \u0635\u062D\u064A\u062D, \u0645\u062B\u0644 \u0645\u0627 \u0647\u0648 \u0645\u0648\u062C\u0648\u062F \u0641\u064A Tanaka's formula. \u0631\u0633\u0645\u064A\u0627\u064B, \u062A\u0639\u0631\u064A\u0641 \u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u0645\u062D\u0644\u064A \u0647\u0648 \u062D\u064A\u062B \u0623\u0646 \u0647\u064A \u0639\u0645\u0644\u064A\u0629 \u0627\u0644\u0627\u0646\u062A\u0634\u0627\u0631 \u0648 \u0647\u064A Dirac delta function. \u0648 \u0647\u064A \u0641\u0643\u0631\u0629 \u0645\u0646 \u0627\u062E\u062A\u0631\u0627\u0639 Paul Pierre L\u00E9vy. \u0627\u0644\u0641\u0643\u0631\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064A\u0629 \u0647\u064A \u0623\u0646 \u0647\u064A \u0645\u0642\u064A\u0627\u0633 (\u0645\u062A\u063A\u064A\u0631) \u0644\u0644\u0645\u062F\u0629 \u0627\u0644\u062A\u064A \u0623\u0633\u062A\u0647\u0644\u0643\u062A\u0647\u0627 \u0639\u0646\u062F \u0627\u0639\u062A\u0645\u0627\u062F\u0627\u064B \u0639\u0644\u0649 \u0627\u0644\u0632\u0645\u0646 . \u064A\u0645\u0643\u0646 \u0623\u0646 \u062A\u064F\u0643\u062A\u0628 \u0628\u0647\u0630\u0647 \u0627\u0644\u0635\u064A\u063A\u0629 \u0627\u0644\u062A\u064A \u062A\u0634\u0631\u062D \u0644\u0645\u0627\u0630\u0627 \u062A\u0633\u0645\u0649 \u0628\u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u0645\u062D\u0644\u064A \u0644\u0644\u0642\u064A\u0645\u0629 \u0639\u0646\u062F ."@ar . . "5678101"^^ . . . "\u0632\u0645\u0646 \u0645\u062D\u0644\u064A (\u0631\u064A\u0627\u0636\u064A\u0627\u062A)"@ar . . . . . . "\u0423 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456\u0439 \u0442\u0435\u043E\u0440\u0456\u0457 \u0432\u0438\u043F\u0430\u0434\u043A\u043E\u0432\u0438\u0445 \u043F\u0440\u043E\u0446\u0435\u0441\u0456\u0432, \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439 \u0447\u0430\u0441 \u0454 \u0432\u0438\u043F\u0430\u0434\u043A\u043E\u0432\u0438\u043C \u043F\u0440\u043E\u0446\u0435\u0441\u043E\u043C, \u043F\u043E\u0432'\u044F\u0437\u0430\u043D\u0438\u043C \u0456\u0437 \u043F\u0440\u043E\u0446\u0435\u0441\u0430\u043C\u0438 \u0434\u0438\u0444\u0443\u0437\u0456\u0457, \u044F\u043A \u043E\u0442 \u0431\u0440\u043E\u0443\u043D\u0456\u0432\u0441\u044C\u043A\u0438\u043C \u0440\u0443\u0445\u043E\u043C, \u044F\u043A\u0438\u0439 \u0445\u0430\u0440\u0430\u043A\u0442\u0435\u0440\u0438\u0437\u0443\u0454 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u0447\u0430\u0441\u0443, \u043F\u0440\u043E\u0432\u0435\u0434\u0435\u043D\u043E\u0433\u043E \u0447\u0430\u0441\u0442\u0438\u043D\u043A\u043E\u044E \u043D\u0430 \u0434\u0430\u043D\u043E\u043C\u0443 \u0440\u0456\u0432\u043D\u0456. \u041B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439 \u0447\u0430\u0441 \u0434\u0443\u0436\u0435 \u043A\u043E\u0440\u0438\u0441\u043D\u0438\u0439 \u0456 \u0447\u0430\u0441\u0442\u043E \u0437'\u044F\u0432\u043B\u044F\u0454\u0442\u044C\u0441\u044F \u0443 \u0431\u0430\u0433\u0430\u0442\u044C\u043E\u0445 \u0444\u043E\u0440\u043C\u0443\u043B\u0430\u0445 \u0441\u0442\u043E\u0445\u0430\u0441\u0442\u0438\u0447\u043D\u043E\u0457 \u0456\u043D\u0442\u0435\u0433\u0440\u0430\u0446\u0456\u0457, \u044F\u043A\u0449\u043E \u043F\u0456\u0434\u0456\u043D\u0442\u0435\u0433\u0440\u0430\u043B\u044C\u043D\u0430 \u0444\u0443\u043D\u043A\u0446\u0456\u044F \u043D\u0435 \u0434\u043E\u0441\u0442\u0430\u0442\u043D\u044C\u043E \u0433\u043B\u0430\u0434\u043A\u0430, \u0442\u0430\u043A \u044F\u043A ." . . . . . "984216692"^^ . . "\u0423 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456\u0439 \u0442\u0435\u043E\u0440\u0456\u0457 \u0432\u0438\u043F\u0430\u0434\u043A\u043E\u0432\u0438\u0445 \u043F\u0440\u043E\u0446\u0435\u0441\u0456\u0432, \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439 \u0447\u0430\u0441 \u0454 \u0432\u0438\u043F\u0430\u0434\u043A\u043E\u0432\u0438\u043C \u043F\u0440\u043E\u0446\u0435\u0441\u043E\u043C, \u043F\u043E\u0432'\u044F\u0437\u0430\u043D\u0438\u043C \u0456\u0437 \u043F\u0440\u043E\u0446\u0435\u0441\u0430\u043C\u0438 \u0434\u0438\u0444\u0443\u0437\u0456\u0457, \u044F\u043A \u043E\u0442 \u0431\u0440\u043E\u0443\u043D\u0456\u0432\u0441\u044C\u043A\u0438\u043C \u0440\u0443\u0445\u043E\u043C, \u044F\u043A\u0438\u0439 \u0445\u0430\u0440\u0430\u043A\u0442\u0435\u0440\u0438\u0437\u0443\u0454 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u0447\u0430\u0441\u0443, \u043F\u0440\u043E\u0432\u0435\u0434\u0435\u043D\u043E\u0433\u043E \u0447\u0430\u0441\u0442\u0438\u043D\u043A\u043E\u044E \u043D\u0430 \u0434\u0430\u043D\u043E\u043C\u0443 \u0440\u0456\u0432\u043D\u0456. \u041B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439 \u0447\u0430\u0441 \u0434\u0443\u0436\u0435 \u043A\u043E\u0440\u0438\u0441\u043D\u0438\u0439 \u0456 \u0447\u0430\u0441\u0442\u043E \u0437'\u044F\u0432\u043B\u044F\u0454\u0442\u044C\u0441\u044F \u0443 \u0431\u0430\u0433\u0430\u0442\u044C\u043E\u0445 \u0444\u043E\u0440\u043C\u0443\u043B\u0430\u0445 \u0441\u0442\u043E\u0445\u0430\u0441\u0442\u0438\u0447\u043D\u043E\u0457 \u0456\u043D\u0442\u0435\u0433\u0440\u0430\u0446\u0456\u0457, \u044F\u043A\u0449\u043E \u043F\u0456\u0434\u0456\u043D\u0442\u0435\u0433\u0440\u0430\u043B\u044C\u043D\u0430 \u0444\u0443\u043D\u043A\u0446\u0456\u044F \u043D\u0435 \u0434\u043E\u0441\u0442\u0430\u0442\u043D\u044C\u043E \u0433\u043B\u0430\u0434\u043A\u0430, \u0442\u0430\u043A \u044F\u043A ." . . . . . . . . . . . . . . . . . "Local time (mathematics)" . . . . . . . . . "In the mathematical theory of stochastic processes, local time is a stochastic process associated with semimartingale processes such as Brownian motion, that characterizes the amount of time a particle has spent at a given level. Local time appears in various stochastic integration formulas, such as Tanaka's formula, if the integrand is not sufficiently smooth. It is also studied in statistical mechanics in the context of random fields." . . . "In the mathematical theory of stochastic processes, local time is a stochastic process associated with semimartingale processes such as Brownian motion, that characterizes the amount of time a particle has spent at a given level. Local time appears in various stochastic integration formulas, such as Tanaka's formula, if the integrand is not sufficiently smooth. It is also studied in statistical mechanics in the context of random fields." . . . . . . . "En la teor\u00EDa matem\u00E1tica de los procesos estoc\u00E1sticos, el tiempo local es un proceso estoc\u00E1stico asociado con procesos de difusi\u00F3n tales como el movimiento browniano, que caracteriza el tiempo que pasa una part\u00EDcula en un nivel espec\u00EDfico. El tiempo local es muy \u00FAtil y suele aparecer en diversas f\u00F3rmulas de integraci\u00F3n estoc\u00E1stica si el integrando no es suficientemente regular, como en el caso de la f\u00F3rmula de Tanaka." . . . . . . . "En la teor\u00EDa matem\u00E1tica de los procesos estoc\u00E1sticos, el tiempo local es un proceso estoc\u00E1stico asociado con procesos de difusi\u00F3n tales como el movimiento browniano, que caracteriza el tiempo que pasa una part\u00EDcula en un nivel espec\u00EDfico. El tiempo local es muy \u00FAtil y suele aparecer en diversas f\u00F3rmulas de integraci\u00F3n estoc\u00E1stica si el integrando no es suficientemente regular, como en el caso de la f\u00F3rmula de Tanaka." . . "\u041B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439 \u0447\u0430\u0441" . . . . . . . . "Tempo local (matem\u00E1tica)" . . . . . . . . . . . . . "9047"^^ . . "Na teoria matem\u00E1tica dos processos estoc\u00E1sticos, o tempo local \u00E9 um processo estoc\u00E1stico associado a processos de difus\u00E3o como o movimento browniano, que caracteriza a quantidade de tempo que uma part\u00EDcula dispende em determinado n\u00EDvel. O tempo local aparece em v\u00E1rias f\u00F3rmulas de integra\u00E7\u00E3o estoc\u00E1stica se o integrando n\u00E3o \u00E9 suficientemente deriv\u00E1vel, tal como a f\u00F3rmula de Tanaka. Tamb\u00E9m \u00E9 estudado em mec\u00E2nica estat\u00EDstica no contexto de campos aleat\u00F3rios." . "\u0641\u064A \u0627\u0644\u0646\u0638\u0631\u064A\u0629 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A\u064A\u0629 \u0644\u0644\u0639\u0645\u0644\u064A\u0627\u062A \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064A\u0629, \u064A\u0643\u0648\u0646 \u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u0645\u062D\u0644\u064A (\u0628\u0627\u0644\u0625\u0646\u062C\u0644\u064A\u0632\u064A\u0629: local time) \u0647\u0648 \u0639\u0628\u0627\u0631\u0629 \u0639\u0646 \u062E\u0627\u0635\u064A\u0629 \u0644\u0639\u0645\u0644\u064A\u0629 \u0627\u0644\u0627\u0646\u062A\u0634\u0627\u0631 \u0645\u062B\u0644 \u0627\u0644\u062D\u0631\u0643\u0629 \u0627\u0644\u0628\u0631\u0627\u0648\u0646\u064A\u0629 \u0627\u0644\u062A\u064A \u062A\u0645\u064A\u0632 \u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u062A\u064A \u062A\u0642\u0636\u064A\u0647\u0627 \u0627\u0644\u062C\u0633\u064A\u0645 \u0639\u0646\u062F \u0645\u0633\u062A\u0648\u0649 \u0645\u0639\u064A\u0646. \u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u0645\u062D\u0644\u064A \u0645\u0641\u064A\u062F \u062C\u062F\u0627\u064B \u0648 \u062A\u0638\u0647\u0631 \u0641\u064A \u0627\u0644\u063A\u0627\u0644\u0628 \u0641\u064A \u0627\u0644\u0635\u064A\u063A \u0627\u0644\u062A\u0643\u0627\u0645\u0644\u064A\u0629 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064A\u0629 \u0627\u0644\u0645\u062E\u062A\u0644\u0641\u0629 \u0625\u0630\u0627 \u0643\u0627\u0646\u062A \u0627\u0644\u0643\u0645\u064A\u0651\u0629 \u0627\u0644\u0645\u062A\u0643\u0627\u0645\u0644\u0629 \u0633\u0644\u0633\u0629 \u0628\u0634\u0643\u0644 \u0635\u062D\u064A\u062D, \u0645\u062B\u0644 \u0645\u0627 \u0647\u0648 \u0645\u0648\u062C\u0648\u062F \u0641\u064A Tanaka's formula. \u0631\u0633\u0645\u064A\u0627\u064B, \u062A\u0639\u0631\u064A\u0641 \u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u0645\u062D\u0644\u064A \u0647\u0648 \u062D\u064A\u062B \u0623\u0646 \u0647\u064A \u0639\u0645\u0644\u064A\u0629 \u0627\u0644\u0627\u0646\u062A\u0634\u0627\u0631 \u0648 \u0647\u064A Dirac delta function. \u0648 \u0647\u064A \u0641\u0643\u0631\u0629 \u0645\u0646 \u0627\u062E\u062A\u0631\u0627\u0639 Paul Pierre L\u00E9vy. \u0627\u0644\u0641\u0643\u0631\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064A\u0629 \u0647\u064A \u0623\u0646 \u0647\u064A \u0645\u0642\u064A\u0627\u0633 (\u0645\u062A\u063A\u064A\u0631) \u0644\u0644\u0645\u062F\u0629 \u0627\u0644\u062A\u064A \u0623\u0633\u062A\u0647\u0644\u0643\u062A\u0647\u0627 \u0639\u0646\u062F \u0627\u0639\u062A\u0645\u0627\u062F\u0627\u064B \u0639\u0644\u0649 \u0627\u0644\u0632\u0645\u0646 . \u064A\u0645\u0643\u0646 \u0623\u0646 \u062A\u064F\u0643\u062A\u0628 \u0628\u0647\u0630\u0647 \u0627\u0644\u0635\u064A\u063A\u0629"@ar . . "Na teoria matem\u00E1tica dos processos estoc\u00E1sticos, o tempo local \u00E9 um processo estoc\u00E1stico associado a processos de difus\u00E3o como o movimento browniano, que caracteriza a quantidade de tempo que uma part\u00EDcula dispende em determinado n\u00EDvel. O tempo local aparece em v\u00E1rias f\u00F3rmulas de integra\u00E7\u00E3o estoc\u00E1stica se o integrando n\u00E3o \u00E9 suficientemente deriv\u00E1vel, tal como a f\u00F3rmula de Tanaka. Tamb\u00E9m \u00E9 estudado em mec\u00E2nica estat\u00EDstica no contexto de campos aleat\u00F3rios." . .