{"id":17595,"date":"2024-07-08T20:43:57","date_gmt":"2024-07-08T17:13:57","guid":{"rendered":"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/"},"modified":"2024-07-08T20:43:57","modified_gmt":"2024-07-08T17:13:57","slug":"%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88","status":"publish","type":"post","link":"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/","title":{"rendered":"\u0632\u0646\u062c\u06cc\u0631 \u0645\u0627\u0631\u06a9\u0648\u0641 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>\u0645\u0642\u0627\u06cc\u0633\u0647<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%d8%b2%d9%86%d8%ac%db%8c%d8%b1%d9%87_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81_%d8%a8%d9%87_%d8%a7%d9%86%da%af%d9%84%db%8c%d8%b3%db%8c_%d8%b3%d8%a7%d8%af%d9%87_%d8%aa%d9%88%d8%b6%db%8c%d8%ad_%d8%af%d8%a7%d8%af%d9%87_%d8%b4%d8%af%d9%87_%d8%a7%d8%b3%d8%aa\" >\u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0633\u0627\u062f\u0647 \u062a\u0648\u0636\u06cc\u062d \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%da%a9%d8%a7%d8%b1%d8%a8%d8%b1%d8%af%d9%87%d8%a7%db%8c_%d8%b2%d9%86%d8%ac%db%8c%d8%b1%d9%87_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81\" >\u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%d8%a7%d9%86%d9%88%d8%a7%d8%b9_%d8%b2%d9%86%d8%ac%db%8c%d8%b1_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81\" >\u0627\u0646\u0648\u0627\u0639 \u0632\u0646\u062c\u06cc\u0631 \u0645\u0627\u0631\u06a9\u0648\u0641<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%d8%b2%d9%86%d8%ac%db%8c%d8%b1%d9%87_%d9%87%d8%a7%db%8c_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81_%d8%b2%d9%85%d8%a7%d9%86_%da%af%d8%b3%d8%b3%d8%aa%d9%87_dtmc\" >\u0632\u0646\u062c\u06cc\u0631\u0647 \u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0632\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647 (DTMC)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%d8%b2%d9%86%d8%ac%db%8c%d8%b1%d9%87_%d9%87%d8%a7%db%8c_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81_%d8%b2%d9%85%d8%a7%d9%86_%d9%be%db%8c%d9%88%d8%b3%d8%aa%d9%87_ctmc\" >\u0632\u0646\u062c\u06cc\u0631\u0647 \u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0632\u0645\u0627\u0646 \u067e\u06cc\u0648\u0633\u062a\u0647 (CTMC)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%d8%b2%d9%86%d8%ac%db%8c%d8%b1_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81_%d8%a8%d8%b1%da%af%d8%b4%d8%aa_%d9%be%d8%b0%db%8c%d8%b1\" >\u0632\u0646\u062c\u06cc\u0631 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0628\u0631\u06af\u0634\u062a \u067e\u0630\u06cc\u0631<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%d8%b2%d9%86%d8%ac%db%8c%d8%b1%d9%87%d8%a7%db%8c_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81_%d8%aa%d8%b5%d8%a7%d8%af%d9%81%db%8c_%d9%85%d8%b6%d8%a7%d8%b9%d9%81\" 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href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%d8%b2%d9%86%d8%ac%db%8c%d8%b1%d9%87_%d9%87%d8%a7%db%8c_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81_%d9%be%d9%86%d9%87%d8%a7%d9%86_%d9%85%d8%af%d9%84_%d8%b3%d8%a7%d8%b2%db%8c_%d8%ad%d8%a7%d9%84%d8%aa_%d9%87%d8%a7%db%8c_%d9%86%d8%a7%d8%af%db%8c%d8%af%d9%87\" >\u0632\u0646\u062c\u06cc\u0631\u0647 \u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u067e\u0646\u0647\u0627\u0646: \u0645\u062f\u0644 \u0633\u0627\u0632\u06cc \u062d\u0627\u0644\u062a \u0647\u0627\u06cc \u0646\u0627\u062f\u06cc\u062f\u0647<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%d9%85%d8%ab%d8%a7%d9%84_%da%a9%d8%af\" >\u0645\u062b\u0627\u0644 \u06a9\u062f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%da%a9%d8%aa%d8%a7%d8%a8%d8%ae%d8%a7%d9%86%d9%87_%d9%87%d8%a7_%d8%b1%d8%a7_%d9%88%d8%a7%d8%b1%d8%af_%da%a9%d9%86%db%8c%d8%af_%d9%88_%d8%af%d8%a7%d9%86%d9%87_%d9%87%d8%a7%db%8c_%d8%aa%d8%b5%d8%a7%d8%af%d9%81%db%8c_%d8%b1%d8%a7_%d8%aa%d9%86%d8%b8%db%8c%d9%85_%da%a9%d9%86%db%8c%d8%af\" >\u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 \u0647\u0627 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f \u0648 \u062f\u0627\u0646\u0647 \u0647\u0627\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u0631\u0627 \u062a\u0646\u0638\u06cc\u0645 \u06a9\u0646\u06cc\u062f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%d9%be%d8%a7%d8%b1%d8%a7%d9%85%d8%aa%d8%b1%d9%87%d8%a7%db%8c_hmm_%d8%b1%d8%a7_%d8%aa%d8%b9%d8%b1%db%8c%d9%81_%da%a9%d9%86%db%8c%d8%af_%d9%88_%db%8c%da%a9_hmm_%da%af%d8%a7%d9%88%d8%b3%db%8c_%d8%a7%db%8c%d8%ac%d8%a7%d8%af_%da%a9%d9%86%db%8c%d8%af\" >\u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc HMM \u0631\u0627 \u062a\u0639\u0631\u06cc\u0641 \u06a9\u0646\u06cc\u062f \u0648 \u06cc\u06a9 HMM \u06af\u0627\u0648\u0633\u06cc \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u062f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%d9%85%d8%a7%d8%aa%d8%b1%db%8c%d8%b3_%d8%a7%d9%86%d8%aa%d9%82%d8%a7%d9%84%d8%8c_%d9%85%db%8c%d8%a7%d9%86%da%af%db%8c%d9%86_%d9%87%d8%a7_%d9%88_%da%a9%d9%88%d9%88%d8%a7%d8%b1%db%8c%d8%a7%d9%86%d8%b3_%d9%87%d8%a7_%d8%b1%d8%a7_%d8%a8%d8%b1%d8%a7%db%8c_%d9%87%d8%b1_%d8%ad%d8%a7%d9%84%d8%aa_%d8%aa%d8%b9%d8%b1%db%8c%d9%81_%da%a9%d9%86%db%8c%d8%af\" >\u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0646\u062a\u0642\u0627\u0644\u060c \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0647\u0627 \u0648 \u06a9\u0648\u0648\u0627\u0631\u06cc\u0627\u0646\u0633 \u0647\u0627 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0647\u0631 \u062d\u0627\u0644\u062a \u062a\u0639\u0631\u06cc\u0641 \u06a9\u0646\u06cc\u062f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%d8%af%d8%a7%d8%af%d9%87_%d9%87%d8%a7%d8%8c_%d9%86%d9%85%d9%88%d9%86%d9%87_hmm_%d8%ac%d8%af%db%8c%d8%af_%d8%a7%db%8c%d8%ac%d8%a7%d8%af_%da%a9%d9%86%db%8c%d8%af_%d9%88_%d9%85%d8%af%d9%84_%d8%b1%d8%a7_%d8%a8%d8%a7_%d8%af%d8%a7%d8%af%d9%87_%d9%87%d8%a7_%d9%85%d8%b7%d8%a7%d8%a8%d9%82%d8%aa_%d8%af%d9%87%db%8c%d8%af\" >\u062f\u0627\u062f\u0647 \u0647\u0627\u060c \u0646\u0645\u0648\u0646\u0647 HMM \u062c\u062f\u06cc\u062f \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u062f \u0648 \u0645\u062f\u0644 \u0631\u0627 \u0628\u0627 \u062f\u0627\u062f\u0647 \u0647\u0627 \u0645\u0637\u0627\u0628\u0642\u062a \u062f\u0647\u06cc\u062f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%d9%be%db%8c%d8%b4_%d8%a8%db%8c%d9%86%db%8c_%d8%ad%d8%a7%d9%84%d8%aa_%d9%87%d8%a7%db%8c_%d9%be%d9%86%d9%87%d8%a7%d9%86_%d8%a8%d8%b1%d8%a7%db%8c_%d8%af%d8%a7%d8%af%d9%87_%d9%87%d8%a7%db%8c_%d9%85%d8%b4%d8%a7%d9%87%d8%af%d9%87_%d8%b4%d8%af%d9%87\" >\u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u062d\u0627\u0644\u062a \u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646 \u0628\u0631\u0627\u06cc \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0645\u0634\u0627\u0647\u062f\u0647 \u0634\u062f\u0647<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%b2%d9%86%d8%ac%db%8c%d8%b1-%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81-%da%86%db%8c%d8%b3%d8%aa%d8%9f-%d8%a8%d8%a7-%d9%85%d8%ab%d8%a7%d9%84-%d9%87%d8%a7%db%8c-%da%a9%d8%af-%d9%be%d8%a7%db%8c%d8%aa%d9%88\/#%d9%86%d8%aa%db%8c%d8%ac%d9%87_%da%af%db%8c%d8%b1%db%8c_%d8%a2%db%8c%d9%86%d8%af%d9%87_%d8%b2%d9%86%d8%ac%db%8c%d8%b1%d9%87_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81\" >\u0646\u062a\u06cc\u062c\u0647 \u06af\u06cc\u0631\u06cc: \u0622\u06cc\u0646\u062f\u0647 \u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641<\/a><\/li><\/ul><\/nav><\/div>\n<span class=\"span-reading-time rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">\u0632\u0645\u0627\u0646 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u0645\u0637\u0627\u0644\u0639\u0647: <\/span> <span class=\"rt-time\"> 8<\/span> <span class=\"rt-label rt-postfix\">\u062f\u0642\u06cc\u0642\u0647<\/span><\/span><p> <br \/>\n<\/p>\n<section class=\"post-content \" data-test-label=\"post-content\">\n<p>\u0627\u0628\u0632\u0627\u0631\u0647\u0627\u06cc \u0631\u06cc\u0627\u0636\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0627\u0632 \u0622\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0622\u06cc\u0646\u062f\u0647 \u0646\u0632\u062f\u06cc\u06a9 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f \u0631\u0648\u06cc \u06cc\u06a9 \u0648\u0636\u0639\u06cc\u062a \u0641\u0639\u0644\u06cc  \u06cc\u06a9\u06cc \u0627\u0632 \u067e\u0631\u06a9\u0627\u0631\u0628\u0631\u062f\u062a\u0631\u06cc\u0646 \u0622\u0646\u0647\u0627 \u0632\u0646\u062c\u06cc\u0631 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0627\u0633\u062a.<\/p>\n<p>\u0632\u0646\u062c\u06cc\u0631\u0647 \u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0628\u0647 \u0634\u0645\u0627 \u0627\u0645\u06a9\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u062a\u0627 \u0639\u062f\u0645 \u0642\u0637\u0639\u06cc\u062a \u0631\u0648\u06cc\u062f\u0627\u062f\u0647\u0627\u06cc \u0622\u06cc\u0646\u062f\u0647 \u0631\u0627 \u062a\u062d\u062a \u0634\u0631\u0627\u06cc\u0637 \u062e\u0627\u0635\u06cc \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u06a9\u0646\u06cc\u062f.  \u0628\u0647 \u0647\u0645\u06cc\u0646 \u062f\u0644\u06cc\u0644\u060c \u0628\u0647 \u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647 \u062f\u0631 \u0639\u0644\u0648\u0645\u060c \u0645\u0647\u0646\u062f\u0633\u06cc\u060c \u0627\u0642\u062a\u0635\u0627\u062f \u0648 \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0632\u0645\u06cc\u0646\u0647 \u0647\u0627\u06cc \u062f\u06cc\u06af\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<p>\u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0627\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641\u06cc \u0627\u0632 \u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u0648 \u0647\u0631 \u06a9\u062f\u0627\u0645 \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u062e\u0627\u0635 \u062e\u0648\u062f \u0631\u0627 \u062f\u0627\u0631\u0646\u062f.<\/p>\n<p>\u0627\u06cc\u0646 \u0631\u0627\u0647\u0646\u0645\u0627 \u0628\u0647 \u0645\u0639\u0631\u0641\u06cc \u0632\u0646\u062c\u06cc\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641\u060c \u0627\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641 \u0632\u0646\u062c\u06cc\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641\u060c \u0627\u0632 \u062c\u0645\u0644\u0647 \u0632\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647\u060c \u0632\u0645\u0627\u0646 \u067e\u06cc\u0648\u0633\u062a\u0647\u060c \u0628\u0631\u06af\u0634\u062a\u200c\u067e\u0630\u06cc\u0631 \u0648 \u0646\u0645\u0648\u0646\u0647 \u06a9\u062f \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u067e\u0646\u0647\u0627\u0646 (HMM) \u0645\u06cc\u200c\u067e\u0631\u062f\u0627\u0632\u062f.<\/p>\n<p>\u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u06cc\u062f:<\/p>\n<ul>\n<li>\u0645\u0642\u0627\u06cc\u0633\u0647<\/li>\n<li>\u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0628\u0647 \u0632\u0628\u0627\u0646 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0633\u0627\u062f\u0647 \u062a\u0648\u0636\u06cc\u062d \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a<\/li>\n<li>\u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641<\/li>\n<li>\u0627\u0646\u0648\u0627\u0639 \u0632\u0646\u062c\u06cc\u0631 \u0645\u0627\u0631\u06a9\u0648\u0641<\/li>\n<li>\u0646\u0645\u0648\u0646\u0647 \u06a9\u062f \u067e\u0646\u0647\u0627\u0646 \u0632\u0646\u062c\u06cc\u0631 \u0645\u0627\u0631\u06a9\u0648\u0641<\/li>\n<\/ul>\n<p><!--kg-card-begin: html--><\/p>\n<h2 href=\"https:\/\/www.freecodecamp.org\/news\/what-is-a-markov-chain\/analogy\"><span class=\"ez-toc-section\" id=\"%d9%85%d9%82%d8%a7%db%8c%d8%b3%d9%87\"><\/span>  \u0645\u0642\u0627\u06cc\u0633\u0647 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><!--kg-card-end: html--><\/p>\n<figure class=\"kg-card kg-image-card kg-width-wide kg-card-hascaption\"><img decoding=\"async\" src=\"https:\/\/rasanegaar.com\/blog\/wp-content\/uploads\/2024\/07\/aa.png\" class=\"kg-image\" alt=\"aa\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><figcaption>\u0627\u0646\u062a\u062e\u0627\u0628 \u0628\u06cc\u0646 \u0622\u0641\u062a\u0627\u0628\u06cc \u06cc\u0627 \u0628\u0627\u0631\u0627\u0646\u06cc<\/figcaption><\/figure>\n<p>\u062a\u0635\u0648\u06cc\u0631\u0628\u0631\u062f\u0627\u0631\u06cc \u06a9\u0647 \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u062f \u0647\u0648\u0627\u06cc \u0641\u0631\u062f\u0627 \u0631\u0627 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u06a9\u0646\u06cc\u062f \u0648 \u0622\u0646 \u0631\u0627 <strong>\u0641\u0642\u0637 <\/strong>\u0628\u0633\u062a\u06af\u06cc \u062f\u0627\u0631\u062f \u0631\u0648\u06cc \u0647\u0648\u0627\u06cc \u0627\u0645\u0631\u0648\u0632  \u0647\u0648\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0622\u0641\u062a\u0627\u0628\u06cc \u06cc\u0627 \u0628\u0627\u0631\u0627\u0646\u06cc \u0628\u0627\u0634\u062f.<\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f:<\/p>\n<ul>\n<li>\u0627\u06af\u0631 \u0627\u0645\u0631\u0648\u0632 \u0622\u0641\u062a\u0627\u0628\u06cc \u0628\u0627\u0634\u062f\u060c \u0628\u0647 \u0627\u062d\u062a\u0645\u0627\u0644 80 \u062f\u0631\u0635\u062f \u0641\u0631\u062f\u0627 \u062f\u0648\u0628\u0627\u0631\u0647 \u0622\u0641\u062a\u0627\u0628\u06cc \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f \u0648 20 \u062f\u0631\u0635\u062f \u0627\u062d\u062a\u0645\u0627\u0644 \u062f\u0627\u0631\u062f \u06a9\u0647 \u0628\u0627\u0631\u0627\u0646 \u0628\u0627\u0634\u062f.<\/li>\n<li>\u0627\u06af\u0631 \u0627\u0645\u0631\u0648\u0632 \u0628\u0627\u0631\u0627\u0646 \u0628\u0627\u0634\u062f\u060c \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u06cc\u0646\u06a9\u0647 \u0641\u0631\u062f\u0627 \u0622\u0641\u062a\u0627\u0628\u06cc \u0628\u0627\u0634\u062f 50 \u062f\u0631\u0635\u062f \u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0627\u0631\u0646\u062f\u06af\u06cc 50 \u062f\u0631\u0635\u062f \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.<\/li>\n<\/ul>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0633\u0646\u0627\u0631\u06cc\u0648 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0648\u0636\u0639\u06cc\u062a\u200c\u0647\u0627\u06cc \u0622\u06cc\u0646\u062f\u0647 \u0622\u0628 \u0648 \u0647\u0648\u0627 \u0631\u0627 \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc \u06a9\u0631\u062f \u0631\u0648\u06cc \u062d\u0627\u0644\u0627\u062a \u0641\u0639\u0644\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a<\/p>\n<p>\u0627\u06cc\u0646 \u0627\u06cc\u062f\u0647 \u0628\u0631\u0627\u06cc \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc \u0622\u06cc\u0646\u062f\u0647 \u0635\u0631\u0641\u0627\u064b \u0628\u0631 \u0627\u0633\u0627\u0633 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u062d\u0627\u0644\u060c \u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0646\u0627\u0645\u06cc\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627\u060c \u0627\u06cc\u0627\u0644\u062a \u0647\u0627 \u06cc\u0627 \u0622\u0641\u062a\u0627\u0628\u06cc \u06cc\u0627 \u0628\u0627\u0631\u0627\u0646\u06cc \u0647\u0633\u062a\u0646\u062f \u0648 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0628\u0631 \u0627\u0633\u0627\u0633 \u0627\u062d\u062a\u0645\u0627\u0644 \u062a\u063a\u06cc\u06cc\u0631 \u0622\u0628 \u0648 \u0647\u0648\u0627 \u0631\u0627 \u062a\u0648\u0635\u06cc\u0641 \u0645\u06cc \u06a9\u0646\u0646\u062f. \u0631\u0648\u06cc \u0648\u0636\u0639\u06cc\u062a \u0641\u0639\u0644\u06cc<\/p>\n<h2 id=\"markov-chain-explained-in-plain-english\"><span class=\"ez-toc-section\" id=\"%d8%b2%d9%86%d8%ac%db%8c%d8%b1%d9%87_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81_%d8%a8%d9%87_%d8%a7%d9%86%da%af%d9%84%db%8c%d8%b3%db%8c_%d8%b3%d8%a7%d8%af%d9%87_%d8%aa%d9%88%d8%b6%db%8c%d8%ad_%d8%af%d8%a7%d8%af%d9%87_%d8%b4%d8%af%d9%87_%d8%a7%d8%b3%d8%aa\"><\/span>\u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0633\u0627\u062f\u0647 \u062a\u0648\u0636\u06cc\u062d \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<figure class=\"kg-card kg-image-card kg-width-wide kg-card-hascaption\"><img decoding=\"async\" src=\"https:\/\/rasanegaar.com\/blog\/wp-content\/uploads\/2024\/07\/bb.png\" class=\"kg-image\" alt=\"bb\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><figcaption>\u0686\u06af\u0648\u0646\u0647 \u0627\u06cc\u0627\u0644\u062a \u0647\u0627 \u0628\u0627 \u0647\u0645 \u0645\u0631\u062a\u0628\u0637 \u0647\u0633\u062a\u0646\u062f<\/figcaption><\/figure>\n<p>\u06cc\u06a9 \u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0641\u0631\u0622\u06cc\u0646\u062f\u0647\u0627\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u0631\u0627 \u062a\u0648\u0635\u06cc\u0641 \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627 \u0628\u06cc\u0646 \u062d\u0627\u0644\u062a \u0647\u0627 \u062d\u0631\u06a9\u062a \u0645\u06cc \u06a9\u0646\u0646\u062f \u0648 \u06cc\u06a9 \u062d\u0627\u0644\u062a \u062c\u062f\u06cc\u062f \u0641\u0642\u0637 \u0628\u0647 \u0622\u0646 \u0628\u0633\u062a\u06af\u06cc \u062f\u0627\u0631\u062f \u0631\u0648\u06cc \u0648\u0636\u0639\u06cc\u062a \u0641\u0639\u0644\u06cc\u060c \u0646\u0647 \u0631\u0648\u06cc \u0686\u06af\u0648\u0646\u0647 \u0628\u0647 \u0622\u0646\u062c\u0627 \u0631\u0633\u06cc\u062f<\/p>\n<p>\u0627\u0632 \u0646\u0638\u0631 \u0631\u06cc\u0627\u0636\u06cc\u060c \u0632\u0646\u062c\u06cc\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u0646\u0627\u0645\u06cc\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f\u060c \u0632\u06cc\u0631\u0627 \u0622\u0646\u0647\u0627 \u0631\u0648\u06cc\u062f\u0627\u062f\u0647\u0627\u06cc \u0632\u0646\u062f\u06af\u06cc \u0648\u0627\u0642\u0639\u06cc \u0631\u0627 \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc (\u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc) \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f \u06a9\u0647 \u0637\u0628\u06cc\u0639\u062a\u0627\u064b \u062a\u0635\u0627\u062f\u0641\u06cc \u0647\u0633\u062a\u0646\u062f (\u062a\u0635\u0627\u062f\u0641\u06cc).<\/p>\n<p>\u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0632\u0646\u062c\u06cc\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0628\u0633\u06cc\u0627\u0631 \u0622\u0633\u0627\u0646 \u0627\u0633\u062a \u0648 \u062f\u0631 \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627\u06cc \u067e\u06cc\u0686\u06cc\u062f\u0647 \u06a9\u0627\u0631\u0622\u0645\u062f \u0647\u0633\u062a\u0646\u062f.<\/p>\n<p>\u0645\u0632\u06cc\u062a \u06a9\u0644\u06cc\u062f\u06cc \u062f\u06cc\u06af\u0631 \u0648\u06cc\u0698\u06af\u06cc &#8220;\u0628\u06cc \u062d\u0627\u0641\u0638\u0647&#8221; \u0622\u0646\u0647\u0627 \u0627\u0633\u062a.  \u0627\u06cc\u0646 \u0628\u0627\u0639\u062b \u0645\u06cc \u0634\u0648\u062f \u06a9\u0647 \u0622\u0646 \u0631\u0627 \u0633\u0631\u06cc\u0639\u062a\u0631 \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u062f \u0631\u0648\u06cc \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631\u0647\u0627 \u0648 \u0642\u062f\u0631\u062a\u0645\u0646\u062f \u0628\u0631\u0627\u06cc \u0645\u0637\u0627\u0644\u0639\u0647 \u0641\u0631\u0622\u06cc\u0646\u062f\u0647\u0627\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u0648 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u0631\u0648\u06cc \u0634\u0631\u0627\u06cc\u0637 \u0641\u0639\u0644\u06cc<\/p>\n<h2 id=\"applications-of-markov-chains\"><span class=\"ez-toc-section\" id=\"%da%a9%d8%a7%d8%b1%d8%a8%d8%b1%d8%af%d9%87%d8%a7%db%8c_%d8%b2%d9%86%d8%ac%db%8c%d8%b1%d9%87_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81\"><\/span>\u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<figure class=\"kg-card kg-image-card kg-width-wide kg-card-hascaption\"><img decoding=\"async\" src=\"https:\/\/www.freecodecamp.org\/news\/content\/images\/2024\/06\/cc.png\" class=\"kg-image\" alt=\"\u0633\u06cc \u0633\u06cc\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><figcaption>\u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641<\/figcaption><\/figure>\n<p>\u062f\u0631 \u0628\u0631\u062e\u06cc \u0633\u0637\u0648\u062d\u060c \u062a\u0642\u0631\u06cc\u0628\u0627\u064b \u062a\u0645\u0627\u0645 \u0631\u0648\u06cc\u062f\u0627\u062f\u0647\u0627\u06cc \u0632\u0646\u062f\u06af\u06cc \u0648\u0627\u0642\u0639\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u0647\u0633\u062a\u0646\u062f.  \u0628\u0647 \u0639\u0628\u0627\u0631\u062a \u062f\u06cc\u06af\u0631\u060c \u0622\u0646\u0647\u0627 \u0634\u0627\u0645\u0644 \u062a\u0635\u0627\u062f\u0641\u06cc \u0648 \u0639\u062f\u0645 \u0642\u0637\u0639\u06cc\u062a \u0647\u0633\u062a\u0646\u062f.<\/p>\n<p>\u062f\u0642\u06cc\u0642\u0627\u064b \u0628\u0647 \u0647\u0645\u06cc\u0646 \u062f\u0644\u06cc\u0644 \u0627\u0633\u062a \u06a9\u0647 \u0622\u0646\u0647\u0627 \u0628\u0633\u06cc\u0627\u0631 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0642\u0631\u0627\u0631 \u0645\u06cc \u06af\u06cc\u0631\u0646\u062f.  \u0622\u0646\u0647\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u0646\u062f \u0631\u0641\u062a\u0627\u0631 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u0631\u0627 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u06a9\u0646\u0646\u062f \u0631\u0648\u06cc \u0634\u0631\u0627\u06cc\u0637 \u0641\u0639\u0644\u06cc<\/p>\n<p>\u062f\u0631 \u0627\u0645\u0648\u0631 \u0645\u0627\u0644\u06cc\u060c \u0627\u0632 \u0622\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u062a\u0634\u062e\u06cc\u0635 \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u062f\u0631 \u0631\u062a\u0628\u0647 \u0628\u0646\u062f\u06cc \u0627\u0639\u062a\u0628\u0627\u0631\u06cc \u0628\u0631\u0627\u06cc \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0631\u0698\u06cc\u0645 \u0647\u0627\u06cc \u0628\u0627\u0632\u0627\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<p>\u062f\u0631 \u0698\u0646\u062a\u06cc\u06a9\u060c \u0622\u0646\u0647\u0627 \u0628\u0647 \u062f\u0631\u06a9 \u0686\u06af\u0648\u0646\u06af\u06cc \u062a\u063a\u06cc\u06cc\u0631 \u067e\u0631\u0648\u062a\u0626\u06cc\u0646 \u0647\u0627 \u062f\u0631 \u0637\u0648\u0644 \u0632\u0645\u0627\u0646 \u06a9\u0645\u06a9 \u0645\u06cc \u06a9\u0646\u0646\u062f.  \u06a9\u0647 \u0647\u0646\u06af\u0627\u0645 \u0645\u0637\u0627\u0644\u0639\u0647 \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u0698\u0646\u062a\u06cc\u06a9\u06cc \u0645\u0647\u0645 \u0627\u0633\u062a.<\/p>\n<p>\u062f\u0631 \u0631\u0628\u0627\u062a\u06cc\u06a9\u060c \u0622\u0646\u0647\u0627 \u0628\u0627 \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc \u062d\u0631\u06a9\u062a \u0628\u0639\u062f\u06cc \u0631\u0628\u0627\u062a\u060c \u0628\u0647 \u062a\u0635\u0645\u06cc\u0645\u200c\u06af\u06cc\u0631\u06cc \u06a9\u0645\u06a9 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f \u0631\u0648\u06cc \u0645\u0634\u0627\u0647\u062f\u0647 \u0641\u0639\u0644\u06cc<\/p>\n<p>\u062f\u0631 \u0622\u0646\u062c\u0627\u060c \u0645\u062b\u0627\u0644\u200c\u0647\u0627\u06cc \u0648\u0627\u0642\u0639\u06cc \u0646\u0634\u0627\u0646 \u0645\u06cc\u200c\u062f\u0647\u0646\u062f \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0627\u0632 \u0632\u0646\u062c\u06cc\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0634\u06a9\u0644\u0627\u062a \u0632\u0646\u062f\u06af\u06cc \u0648\u0627\u0642\u0639\u06cc \u062f\u0631 \u0632\u0645\u06cc\u0646\u0647\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f.<\/p>\n<p><!--kg-card-begin: html--><\/p>\n<h2 href=\"https:\/\/www.freecodecamp.org\/news\/what-is-a-markov-chain\/types\"><span class=\"ez-toc-section\" id=\"%d8%a7%d9%86%d9%88%d8%a7%d8%b9_%d8%b2%d9%86%d8%ac%db%8c%d8%b1_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81\"><\/span>  \u0627\u0646\u0648\u0627\u0639 \u0632\u0646\u062c\u06cc\u0631 \u0645\u0627\u0631\u06a9\u0648\u0641 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><!--kg-card-end: html--><\/p>\n<figure class=\"kg-card kg-image-card kg-width-wide kg-card-hascaption\"><img decoding=\"async\" src=\"https:\/\/rasanegaar.com\/blog\/wp-content\/uploads\/2024\/07\/dd.png\" class=\"kg-image\" alt=\"DD\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><figcaption>\u0633\u06cc\u0633\u062a\u0645 \u0628\u0647 \u0647\u0645 \u067e\u06cc\u0648\u0633\u062a\u0647<\/figcaption><\/figure>\n<p>\u0632\u0646\u062c\u06cc\u0631 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0627\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641\u06cc \u062f\u0627\u0631\u062f.  \u062f\u0631 \u0627\u06cc\u0646 \u0628\u062e\u0634\u060c \u0645\u0627 \u062a\u0646\u0647\u0627 \u0628\u0647 \u0645\u0647\u0645 \u062a\u0631\u06cc\u0646 \u0627\u0646\u0648\u0627\u0639 \u0632\u0646\u062c\u06cc\u0631\u0647 \u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0645\u06cc \u067e\u0631\u062f\u0627\u0632\u06cc\u0645.<\/p>\n<h3 id=\"discrete-time-markov-chains-dtmcs-\"><span class=\"ez-toc-section\" id=\"%d8%b2%d9%86%d8%ac%db%8c%d8%b1%d9%87_%d9%87%d8%a7%db%8c_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81_%d8%b2%d9%85%d8%a7%d9%86_%da%af%d8%b3%d8%b3%d8%aa%d9%87_dtmc\"><\/span>\u0632\u0646\u062c\u06cc\u0631\u0647 \u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0632\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647 (DTMC)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u062f\u0631 DTMC \u0647\u0627\u060c \u0633\u06cc\u0633\u062a\u0645 \u062f\u0631 \u0645\u0631\u0627\u062d\u0644 \u0632\u0645\u0627\u0646\u06cc \u062e\u0627\u0635 \u062a\u063a\u06cc\u06cc\u0631 \u062d\u0627\u0644\u062a \u0645\u06cc \u062f\u0647\u062f.  \u0622\u0646\u0647\u0627 \u06af\u0633\u0633\u062a\u0647 \u0646\u0627\u0645\u06cc\u062f\u0647 \u0645\u06cc \u0634\u0648\u0646\u062f \u0632\u06cc\u0631\u0627 \u0627\u0646\u062a\u0642\u0627\u0644 \u062d\u0627\u0644\u062a \u062f\u0631 \u0628\u0627\u0632\u0647 \u0647\u0627\u06cc \u0632\u0645\u0627\u0646\u06cc \u0645\u062c\u0632\u0627 \u0648 \u0645\u062c\u0632\u0627 \u0627\u062a\u0641\u0627\u0642 \u0645\u06cc \u0627\u0641\u062a\u062f.<\/p>\n<p>\u0622\u0646\u0647\u0627 \u062f\u0631 \u062a\u0626\u0648\u0631\u06cc \u0635\u0641 (\u0645\u0637\u0627\u0644\u0639\u0647 \u0631\u0641\u062a\u0627\u0631 \u062e\u0637\u0648\u0637 \u0627\u0646\u062a\u0638\u0627\u0631)\u060c \u0698\u0646\u062a\u06cc\u06a9 \u0648 \u0627\u0642\u062a\u0635\u0627\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u0646\u062f \u0632\u06cc\u0631\u0627 \u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0622\u0646\u0647\u0627 \u0633\u0627\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<h3 id=\"continuous-time-markov-chains-ctmcs-\"><span class=\"ez-toc-section\" id=\"%d8%b2%d9%86%d8%ac%db%8c%d8%b1%d9%87_%d9%87%d8%a7%db%8c_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81_%d8%b2%d9%85%d8%a7%d9%86_%d9%be%db%8c%d9%88%d8%b3%d8%aa%d9%87_ctmc\"><\/span>\u0632\u0646\u062c\u06cc\u0631\u0647 \u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0632\u0645\u0627\u0646 \u067e\u06cc\u0648\u0633\u062a\u0647 (CTMC)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u062a\u0641\u0627\u0648\u062a CTMC\u0647\u0627 \u0628\u0627 DTMC\u0647\u0627 \u062f\u0631 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0627\u0646\u062a\u0642\u0627\u0644 \u062d\u0627\u0644\u062a \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u062f\u0631 \u0647\u0631 \u0646\u0642\u0637\u0647 \u0632\u0645\u0627\u0646\u06cc \u067e\u06cc\u0648\u0633\u062a\u0647 \u0631\u062e \u062f\u0647\u062f\u060c \u0646\u0647 \u062f\u0631 \u0641\u0648\u0627\u0635\u0644 \u0632\u0645\u0627\u0646\u06cc \u062b\u0627\u0628\u062a.<\/p>\n<p>\u0627\u06cc\u0646 \u0628\u0627\u0639\u062b \u0645\u06cc \u0634\u0648\u062f \u0622\u0646\u0647\u0627 \u0645\u062f\u0644 \u0647\u0627\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u0628\u0627\u0634\u0646\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u062d\u0627\u0644\u062a \u0628\u0647 \u0637\u0648\u0631 \u0645\u062f\u0627\u0648\u0645 \u0627\u062a\u0641\u0627\u0642 \u0645\u06cc \u0627\u0641\u062a\u062f.  \u0627\u06cc\u0646 \u062f\u0631 \u0648\u0627\u06a9\u0646\u0634 \u0647\u0627\u06cc \u0634\u06cc\u0645\u06cc\u0627\u06cc\u06cc \u0648 \u0645\u0647\u0646\u062f\u0633\u06cc \u0642\u0627\u0628\u0644\u06cc\u062a \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0645\u0647\u0645 \u0627\u0633\u062a.<\/p>\n<h3 id=\"reversible-markov-chains\"><span class=\"ez-toc-section\" id=\"%d8%b2%d9%86%d8%ac%db%8c%d8%b1_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81_%d8%a8%d8%b1%da%af%d8%b4%d8%aa_%d9%be%d8%b0%db%8c%d8%b1\"><\/span>\u0632\u0646\u062c\u06cc\u0631 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0628\u0631\u06af\u0634\u062a \u067e\u0630\u06cc\u0631<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0632\u0646\u062c\u06cc\u0631 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0628\u0631\u06af\u0634\u062a \u067e\u0630\u06cc\u0631 \u062e\u0627\u0635 \u0627\u0633\u062a.  \u0627\u06cc\u0646 process \u062a\u063a\u06cc\u06cc\u0631 \u062d\u0627\u0644\u062a \u06cc\u06a9\u0633\u0627\u0646 \u0627\u0633\u062a\u060c \u0686\u0647 \u062c\u0647\u062a \u0628\u0647 \u062c\u0644\u0648 \u06cc\u0627 \u0639\u0642\u0628 \u0628\u0627\u0634\u062f\u060c \u0645\u0627\u0646\u0646\u062f \u0686\u0631\u062e\u0627\u0646\u062f\u0646 \u06cc\u06a9 \u0648\u06cc\u062f\u06cc\u0648 \u0628\u0647 \u0639\u0642\u0628 \u0648 \u067e\u062e\u0634 \u0645\u062c\u062f\u062f \u0622\u0646.<\/p>\n<p>\u0627\u06cc\u0646 \u0648\u06cc\u0698\u06af\u06cc \u062a\u0634\u062e\u06cc\u0635 \u067e\u0627\u06cc\u062f\u0627\u0631\u06cc \u06cc\u06a9 \u0633\u06cc\u0633\u062a\u0645 \u0648 \u0645\u0637\u0627\u0644\u0639\u0647 \u0631\u0648\u0634 \u0631\u0641\u062a\u0627\u0631 \u06cc\u06a9 \u0633\u06cc\u0633\u062a\u0645 \u062f\u0631 \u0637\u0648\u0644 \u0632\u0645\u0627\u0646 \u0631\u0627 \u0622\u0633\u0627\u0646 \u062a\u0631 \u0645\u06cc \u06a9\u0646\u062f.  \u0622\u0646\u0647\u0627 \u0628\u0647 \u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647 \u0627\u06cc \u062f\u0631 \u0641\u06cc\u0632\u06cc\u06a9 \u0622\u0645\u0627\u0631\u06cc \u0648 \u0627\u0642\u062a\u0635\u0627\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u0646\u062f<\/p>\n<h3 id=\"doubly-stochastic-markov-chains\"><span class=\"ez-toc-section\" id=\"%d8%b2%d9%86%d8%ac%db%8c%d8%b1%d9%87%d8%a7%db%8c_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81_%d8%aa%d8%b5%d8%a7%d8%af%d9%81%db%8c_%d9%85%d8%b6%d8%a7%d8%b9%d9%81\"><\/span>\u0632\u0646\u062c\u06cc\u0631\u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u062a\u0635\u0627\u062f\u0641\u06cc \u0645\u0636\u0627\u0639\u0641<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0632\u0646\u062c\u06cc\u0631\u0647 \u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u062a\u0635\u0627\u062f\u0641\u06cc \u0645\u0636\u0627\u0639\u0641 \u062a\u0648\u0633\u0637 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0646\u062a\u0642\u0627\u0644 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc \u0634\u0648\u0646\u062f.  \u062f\u0631 \u0645\u0627\u062a\u0631\u06cc\u0633\u060c \u0645\u062c\u0645\u0648\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u062f\u0631 \u0647\u0631 \u0633\u0637\u0631 \u0648 \u0647\u0631 \u0633\u062a\u0648\u0646 \u0628\u0631\u0627\u0628\u0631 \u0628\u0627 1 \u0627\u0633\u062a.<\/p>\n<p>\u0627\u06cc\u0646 \u0628\u062f\u0627\u0646 \u0645\u0639\u0646\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0647\u0631 \u0633\u0637\u0631 \u0648 \u0647\u0631 \u0633\u062a\u0648\u0646 \u06cc\u06a9 \u062a\u0648\u0632\u06cc\u0639 \u0627\u062d\u062a\u0645\u0627\u0644 \u0645\u0639\u062a\u0628\u0631 \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f.  \u0628\u0647 \u0639\u0628\u0627\u0631\u062a \u062f\u06cc\u06af\u0631\u060c \u0647\u0631 \u0633\u0637\u0631 \u0648 \u0633\u062a\u0648\u0646 \u0641\u0647\u0631\u0633\u062a\u06cc \u0627\u0632 \u0634\u0627\u0646\u0633 \u0647\u0627 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0646\u062a\u0627\u06cc\u062c \u0645\u062a\u0641\u0627\u0648\u062a \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f.<\/p>\n<p>\u0627\u06cc\u0646 \u0648\u06cc\u0698\u06af\u06cc \u062f\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0648 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u0622\u0645\u0627\u0631\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0645\u0647\u0645 \u0627\u0633\u062a.<\/p>\n<p>\u0628\u0647 \u0644\u0637\u0641 \u0632\u0646\u062c\u06cc\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u062a\u0635\u0627\u062f\u0641\u06cc \u062f\u0648\u06af\u0627\u0646\u0647\u060c \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627 \u0628\u0647 \u06af\u0648\u0646\u0647\u200c\u0627\u06cc \u062a\u063a\u06cc\u06cc\u0631 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f \u06a9\u0647 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0648 \u062a\u0642\u0627\u0631\u0646 \u0631\u0627 \u062d\u0641\u0638 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0631\u0627 \u0628\u0633\u06cc\u0627\u0631 \u062f\u0642\u06cc\u0642\u200c\u062a\u0631 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/p>\n<p><!--kg-card-begin: html--><\/p>\n<h2 href=\"https:\/\/www.freecodecamp.org\/news\/what-is-a-markov-chain\/code\"><span class=\"ez-toc-section\" id=\"%d9%86%d9%85%d9%88%d9%86%d9%87_%da%a9%d8%af_%d9%be%d9%86%d9%87%d8%a7%d9%86_%d8%b2%d9%86%d8%ac%db%8c%d8%b1_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81\"><\/span>  \u0646\u0645\u0648\u0646\u0647 \u06a9\u062f \u067e\u0646\u0647\u0627\u0646 \u0632\u0646\u062c\u06cc\u0631 \u0645\u0627\u0631\u06a9\u0648\u0641 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><!--kg-card-end: html--><\/p>\n<p>\u0642\u0628\u0644 \u0627\u0632 \u0627\u06cc\u0646\u06a9\u0647 \u0628\u0647 \u0645\u062b\u0627\u0644\u200c\u0647\u0627\u06cc \u06a9\u062f \u0628\u067e\u0631\u062f\u0627\u0632\u06cc\u0645\u060c \u0627\u0628\u062a\u062f\u0627 \u0627\u062c\u0627\u0632\u0647 \u0645\u06cc\u200c\u062f\u0647\u06cc\u0645 \u062a\u0627 \u0628\u0641\u0647\u0645\u06cc\u0645 \u0632\u0646\u062c\u06cc\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u067e\u0646\u0647\u0627\u0646 \u0686\u06cc\u0633\u062a.<\/p>\n<h3 id=\"hidden-markov-chains-modeling-unseen-states\"><span class=\"ez-toc-section\" id=\"%d8%b2%d9%86%d8%ac%db%8c%d8%b1%d9%87_%d9%87%d8%a7%db%8c_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81_%d9%be%d9%86%d9%87%d8%a7%d9%86_%d9%85%d8%af%d9%84_%d8%b3%d8%a7%d8%b2%db%8c_%d8%ad%d8%a7%d9%84%d8%aa_%d9%87%d8%a7%db%8c_%d9%86%d8%a7%d8%af%db%8c%d8%af%d9%87\"><\/span>\u0632\u0646\u062c\u06cc\u0631\u0647 \u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u067e\u0646\u0647\u0627\u0646: \u0645\u062f\u0644 \u0633\u0627\u0632\u06cc \u062d\u0627\u0644\u062a \u0647\u0627\u06cc \u0646\u0627\u062f\u06cc\u062f\u0647<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<figure class=\"kg-card kg-image-card kg-width-wide kg-card-hascaption\"><img decoding=\"async\" src=\"https:\/\/rasanegaar.com\/blog\/wp-content\/uploads\/2024\/07\/ee.png\" class=\"kg-image\" alt=\"ee\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><figcaption>\u06a9\u0631\u0647 \u0647\u0627\u06cc \u0646\u0648\u0631 \u0628\u0647 \u0647\u0645 \u067e\u06cc\u0648\u0633\u062a\u0647<\/figcaption><\/figure>\n<p>\u0627\u06cc\u062f\u0647 \u0627\u0635\u0644\u06cc \u067e\u0634\u062a \u0632\u0646\u062c\u06cc\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u067e\u0646\u0647\u0627\u0646\u060c \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627\u06cc\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062d\u0627\u0644\u062a\u200c\u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646\u06cc \u062f\u0627\u0631\u0646\u062f (\u062d\u0627\u0644\u062a\u06cc \u06a9\u0647 \u0627\u0631\u0632\u0634 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0646\u0645\u06cc\u200c\u062f\u0627\u0646\u06cc\u0645) \u06a9\u0647 \u0641\u0642\u0637 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u0631\u0648\u06cc\u062f\u0627\u062f\u0647\u0627\u06cc \u0642\u0627\u0628\u0644 \u0645\u0634\u0627\u0647\u062f\u0647 \u0642\u0627\u0628\u0644 \u06a9\u0634\u0641 \u0647\u0633\u062a\u0646\u062f.<\/p>\n<p>\u0628\u0647 \u0639\u0628\u0627\u0631\u062a \u062f\u06cc\u06af\u0631\u060c \u0632\u0646\u062c\u06cc\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u067e\u0646\u0647\u0627\u0646 \u0628\u0647 \u0645\u0627 \u0627\u062c\u0627\u0632\u0647 \u0645\u06cc\u200c\u062f\u0647\u0646\u062f \u062a\u0627 \u0631\u0641\u062a\u0627\u0631 \u06cc\u06a9 \u0633\u06cc\u0633\u062a\u0645 \u0631\u0627 \u0627\u0632 \u0637\u0631\u06cc\u0642:<\/p>\n<ul>\n<li>\u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0632 \u06cc\u06a9 \u062d\u0627\u0644\u062a \u0628\u0647 \u062d\u0627\u0644\u062a \u062f\u06cc\u06af\u0631.<\/li>\n<li>\u062f\u0627\u0646\u0633\u062a\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0645\u0634\u0627\u0647\u062f\u0647 \u06cc\u06a9 \u0631\u0648\u06cc\u062f\u0627\u062f \u062e\u0627\u0635 \u0627\u0632 \u0647\u0631 \u062d\u0627\u0644\u062a<\/li>\n<\/ul>\n<p>\u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u06cc\u0646 \u0631\u0627 \u0628\u0627 \u0645\u0634\u0627\u0647\u062f\u0647 \u0686\u06af\u0648\u0646\u06af\u06cc \u062a\u063a\u06cc\u06cc\u0631 \u062f\u0648\u0644\u062a \u0647\u0627 \u0627\u0632 \u062f\u06cc\u062f\u06af\u0627\u0647 \u063a\u06cc\u0631\u0645\u0633\u062a\u0642\u06cc\u0645 \u062f\u0631\u06a9 \u06a9\u0646\u06cc\u0645.<\/p>\n<p>\u0645\u0627 \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0627\u0631\u0632\u0634 \u0647\u0627\u06cc \u0627\u0635\u0644\u06cc \u0627\u06cc\u0627\u0644\u0627\u062a \u0631\u0627 \u0646\u0645\u06cc \u062f\u0627\u0646\u06cc\u0645.<\/p>\n<p>\u0627\u0645\u0627 \u0628\u0627 \u062f\u0627\u0646\u0633\u062a\u0646 \u0631\u0648\u0634 \u062a\u063a\u06cc\u06cc\u0631 \u0622\u0646\u0647\u0627\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0627\u0631\u0632\u0634\u200c\u0647\u0627\u06cc \u0622\u0646\u0647\u0627 \u062f\u0631 \u0622\u06cc\u0646\u062f\u0647 \u0686\u0647 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.<\/p>\n<p>\u0628\u0647 \u0627\u06cc\u0646 \u062a\u0631\u062a\u06cc\u0628\u060c \u0632\u0646\u062c\u06cc\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u067e\u0646\u0647\u0627\u0646 \u062f\u0631 \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u062f\u0646\u0628\u0627\u0644\u0647\u200c\u0647\u0627 \u0627\u0646\u0639\u0637\u0627\u0641\u200c\u067e\u0630\u06cc\u0631 \u0647\u0633\u062a\u0646\u062f \u0648 \u0647\u0645 \u0627\u0646\u062a\u0642\u0627\u0644 \u0628\u06cc\u0646 \u062d\u0627\u0644\u062a\u200c\u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646 \u0648 \u0647\u0645 \u0646\u062a\u0627\u06cc\u062c \u0642\u0627\u0628\u0644 \u0645\u0634\u0627\u0647\u062f\u0647 \u0631\u0627 \u062b\u0628\u062a \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f.<\/p>\n<p>\u0628\u0647 \u0647\u0645\u06cc\u0646 \u062f\u0644\u06cc\u0644\u060c \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646 \u0645\u0627\u0631\u06a9\u0648\u0641 \u062f\u0631 \u0632\u0645\u06cc\u0646\u0647\u200c\u0647\u0627\u06cc\u06cc \u0645\u0627\u0646\u0646\u062f \u0645\u0647\u0646\u062f\u0633\u06cc\u060c \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u0645\u0627\u0644\u06cc\u060c \u062a\u0634\u062e\u06cc\u0635 \u06af\u0641\u062a\u0627\u0631\u060c \u0628\u06cc\u0648\u0627\u0646\u0641\u0648\u0631\u0645\u0627\u062a\u06cc\u06a9 \u0648 \u0628\u0633\u06cc\u0627\u0631\u06cc \u0645\u0648\u0627\u0631\u062f \u062f\u06cc\u06af\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/p>\n<h3 id=\"code-example\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%ab%d8%a7%d9%84_%da%a9%d8%af\"><\/span>\u0645\u062b\u0627\u0644 \u06a9\u062f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0645\u062b\u0627\u0644 \u06a9\u062f\u060c \u06cc\u06a9 \u0645\u062b\u0627\u0644 \u0633\u0627\u062f\u0647 \u0628\u0627 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0645\u0635\u0646\u0648\u0639\u06cc \u0631\u0627 \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u06cc\u062f.<\/p>\n<p>\u0627\u06cc\u0646\u0645 \u06a9\u062f \u06a9\u0627\u0645\u0644:<\/p>\n<pre><code>import numpy as np\nfrom hmmlearn import hmm\n\n# Set random seed for reproducibility\nnp.random.seed(42)\n\n# Define the HMM parameters\nn_components = 2  # Number of states\nn_features = 1    # Number of observation features\n\n# Create a Gaussian HMM\nmodel = hmm.GaussianHMM(n_components=n_components, covariance_type=\"diag\")\n\n# Define transition matrix (rows must sum to 1)\nmodel.startprob_ = np.array([0.6, 0.4])\nmodel.transmat_ = np.array([[0.7, 0.3],\n                            [0.4, 0.6]])\n\n# Define means and covariances for each state\nmodel.means_ = np.array([[0.0], [3.0]])\nmodel.covars_ = np.array([[0.5], [0.5]])\n\n# Generate synthetic observation data\nX, Z = model.sample(100)  # 100 samples\n\n# Create a new HMM instance\nnew_model = hmm.GaussianHMM(n_components=n_components, covariance_type=\"diag\", n_iter=100)\n\n# Fit the model to the data\nnew_model.fit(X)\n\n# Print the learned parameters\nprint(\"Transition matrix:\")\nprint(new_model.transmat_)\nprint(\"Means:\")\nprint(new_model.means_)\nprint(\"Covariances:\")\nprint(new_model.covars_)\n\n# Predict the hidden states for the observed data\nhidden_states = new_model.predict(X)\n\nprint(\"Hidden states:\")\nprint(hidden_states)\n<\/code><\/pre>\n<figure class=\"kg-card kg-image-card kg-width-wide kg-card-hascaption\"><img decoding=\"async\" src=\"https:\/\/rasanegaar.com\/blog\/wp-content\/uploads\/2024\/07\/1.png\" class=\"kg-image\" alt=\"1\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><figcaption>\u06a9\u062f \u06a9\u0627\u0645\u0644<\/figcaption><\/figure>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0628\u0644\u0648\u06a9 \u0628\u0647 \u0628\u0644\u0648\u06a9 \u06a9\u062f \u0631\u0627 \u0628\u0628\u06cc\u0646\u06cc\u0645!<\/p>\n<h3 id=\"import-libraries-and-set-random-seed\"><span class=\"ez-toc-section\" id=\"%da%a9%d8%aa%d8%a7%d8%a8%d8%ae%d8%a7%d9%86%d9%87_%d9%87%d8%a7_%d8%b1%d8%a7_%d9%88%d8%a7%d8%b1%d8%af_%da%a9%d9%86%db%8c%d8%af_%d9%88_%d8%af%d8%a7%d9%86%d9%87_%d9%87%d8%a7%db%8c_%d8%aa%d8%b5%d8%a7%d8%af%d9%81%db%8c_%d8%b1%d8%a7_%d8%aa%d9%86%d8%b8%db%8c%d9%85_%da%a9%d9%86%db%8c%d8%af\"><\/span>\u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 \u0647\u0627 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f \u0648 \u062f\u0627\u0646\u0647 \u0647\u0627\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u0631\u0627 \u062a\u0646\u0638\u06cc\u0645 \u06a9\u0646\u06cc\u062f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<pre><code>import numpy as np\nfrom hmmlearn import hmm\n\nnp.random.seed(42)<\/code><\/pre>\n<figure class=\"kg-card kg-image-card kg-width-wide kg-card-hascaption\"><img decoding=\"async\" src=\"https:\/\/rasanegaar.com\/blog\/wp-content\/uploads\/2024\/07\/2.png\" class=\"kg-image\" alt=\"2\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><figcaption>\u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 \u0647\u0627 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f \u0648 \u062f\u0627\u0646\u0647 \u0647\u0627\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u0631\u0627 \u062a\u0646\u0638\u06cc\u0645 \u06a9\u0646\u06cc\u062f<\/figcaption><\/figure>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0628\u0644\u0648\u06a9 \u06a9\u062f\u060c \u062f\u0648 \u0645\u0648\u0631\u062f \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0631\u062f\u06cc\u0645 python \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 \u0647\u0627:<\/p>\n<ul>\n<li>NumPy: \u0628\u0631\u0627\u06cc \u0639\u0645\u0644\u06cc\u0627\u062a \u0639\u062f\u062f\u06cc.<\/li>\n<li>hmmlearn: \u0628\u0631\u0627\u06cc \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0645\u062f\u0644 \u0645\u062e\u0641\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641.<\/li>\n<\/ul>\n<p>\u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0628\u0627 <code>numpy<\/code> \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 \u06cc\u06a9 \u062f\u0627\u0646\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc<\/p>\n<h4 id=\"what-is-a-random-seed\">\u062f\u0627\u0646\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u0686\u06cc\u0633\u062a\u061f<\/h4>\n<p>\u062f\u0627\u0646\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u0645\u0642\u062f\u0627\u0631\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0634\u0631\u0648\u0639 \u06cc\u06a9 \u062a\u0648\u0644\u06cc\u062f \u06a9\u0646\u0646\u062f\u0647 \u0627\u0639\u062f\u0627\u062f \u0634\u0628\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<p>\u0628\u0627 \u06cc\u06a9 \u062f\u0627\u0646\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u062b\u0627\u0628\u062a\u060c \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u062d\u0627\u0635\u0644 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u062f\u0646\u0628\u0627\u0644\u0647 \u0627\u0639\u062f\u0627\u062f \u0634\u0628\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u062a\u0648\u0644\u06cc\u062f \u0634\u062f\u0647 \u0647\u0645\u06cc\u0634\u0647 \u06cc\u06a9\u0633\u0627\u0646 \u0627\u0633\u062a.<\/p>\n<p>\u0627\u06cc\u0646 \u0628\u0647 \u0645\u0627 \u0627\u0645\u06a9\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u0622\u0632\u0645\u0627\u06cc\u0634 \u0647\u0627 \u0631\u0627 \u062a\u06a9\u0631\u0627\u0631 \u06a9\u0646\u06cc\u0645 \u0648 \u0646\u062a\u0627\u06cc\u062c \u0631\u0627 \u062a\u0623\u06cc\u06cc\u062f \u06a9\u0646\u06cc\u0645.<\/p>\n<p>\u0627\u0631\u0632\u0634 \u0648\u06cc\u0698\u0647 \u0628\u0630\u0631 \u062a\u0627 \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u062b\u0627\u0628\u062a \u0628\u0645\u0627\u0646\u062f \u0627\u0647\u0645\u06cc\u062a\u06cc \u0646\u062f\u0627\u0631\u062f.<\/p>\n<h3 id=\"define-the-hmm-parameters-and-create-a-gaussian-hmm\"><span class=\"ez-toc-section\" id=\"%d9%be%d8%a7%d8%b1%d8%a7%d9%85%d8%aa%d8%b1%d9%87%d8%a7%db%8c_hmm_%d8%b1%d8%a7_%d8%aa%d8%b9%d8%b1%db%8c%d9%81_%da%a9%d9%86%db%8c%d8%af_%d9%88_%db%8c%da%a9_hmm_%da%af%d8%a7%d9%88%d8%b3%db%8c_%d8%a7%db%8c%d8%ac%d8%a7%d8%af_%da%a9%d9%86%db%8c%d8%af\"><\/span>\u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc HMM \u0631\u0627 \u062a\u0639\u0631\u06cc\u0641 \u06a9\u0646\u06cc\u062f \u0648 \u06cc\u06a9 HMM \u06af\u0627\u0648\u0633\u06cc \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u062f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<pre><code>n_components = 2  # Number of states\nn_features = 1    # Number of observation features\n\nmodel = hmm.GaussianHMM(n_components=n_components, covariance_type=\"diag\")<\/code><\/pre>\n<figure class=\"kg-card kg-image-card kg-width-wide kg-card-hascaption\"><img decoding=\"async\" src=\"https:\/\/rasanegaar.com\/blog\/wp-content\/uploads\/2024\/07\/3.png\" class=\"kg-image\" alt=\"3\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><figcaption>\u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc HMM \u0631\u0627 \u062a\u0639\u0631\u06cc\u0641 \u06a9\u0646\u06cc\u062f \u0648 \u06cc\u06a9 HMM \u06af\u0627\u0648\u0633\u06cc \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u062f<\/figcaption><\/figure>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0628\u0644\u0648\u06a9 \u06a9\u062f\u060c \u06cc\u06a9 HMM \u0628\u0627 \u062f\u0648 \u062d\u0627\u0644\u062a \u067e\u0646\u0647\u0627\u0646 \u0648 \u06cc\u06a9 \u0645\u062a\u063a\u06cc\u0631 \u0645\u0634\u0627\u0647\u062f\u0647 \u0634\u062f\u0647 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0631\u062f\u06cc\u0645.<\/p>\n<p><code>covariance_type \"diag\"<\/code>  \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0639\u0646\u06cc \u06a9\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0647\u0627\u06cc\u06cc \u06a9\u0647 \u0646\u0634\u0627\u0646 \u062f\u0647\u0646\u062f\u0647 \u06a9\u0648\u0648\u0627\u0631\u06cc\u0627\u0646\u0633 \u0647\u0633\u062a\u0646\u062f \u2013 \u0627\u06cc\u0646\u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u062f\u0648 \u0645\u062a\u063a\u06cc\u0631 \u0628\u0627 \u0647\u0645 \u062a\u063a\u06cc\u06cc\u0631 \u0645\u06cc \u06a9\u0646\u0646\u062f \u2013 \u0645\u0648\u0631\u0628 \u0647\u0633\u062a\u0646\u062f.  \u0628\u0647 \u0639\u0628\u0627\u0631\u062a \u062f\u06cc\u06af\u0631\u060c \u0647\u0631 \u0633\u0637\u0631 \u0648 \u0633\u062a\u0648\u0646 \u0645\u0633\u062a\u0642\u0644 \u0627\u0632 \u0628\u0642\u06cc\u0647 \u0641\u0631\u0636 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<p>\u0627\u06cc\u0646 \u0628\u062f\u0627\u0646 \u0645\u0639\u0646\u0627\u0633\u062a \u06a9\u0647 \u062a\u0648\u0632\u06cc\u0639 \u0627\u062d\u062a\u0645\u0627\u0644 \u0647\u0631 \u0633\u0637\u0631 \u0648 \u0633\u062a\u0648\u0646 \u0645\u0633\u062a\u0642\u0644 \u0627\u0632 \u06cc\u06a9\u062f\u06cc\u06af\u0631 \u0627\u0633\u062a.<\/p>\n<p>\u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0645\u0627 \u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641 \u067e\u0646\u0647\u0627\u0646 \u0631\u0627 \u062a\u0639\u0631\u06cc\u0641 \u06a9\u0631\u062f\u06cc\u0645\u060c \u0647\u0646\u0648\u0632 \u0686\u06cc\u0632 \u0639\u062c\u06cc\u0628\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.<\/p>\n<h4 id=\"what-does-gaussian-mean\">&#8220;Gaussian&#8221; \u0628\u0647 \u0686\u0647 \u0645\u0639\u0646\u0627\u0633\u062a\u061f<\/h4>\n<p>\u0627\u06cc\u0646 \u06cc\u06a9 \u0645\u0648\u0636\u0648\u0639 \u0628\u0633\u06cc\u0627\u0631 \u0628\u0632\u0631\u06af \u062f\u0631 \u0622\u0645\u0627\u0631 \u0627\u0633\u062a\u060c \u0627\u0645\u0627 \u062f\u0631 \u0686\u0646\u062f \u06a9\u0644\u0645\u0647\u060c \u0632\u0646\u062c\u06cc\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u062a\u0646\u0647\u0627 \u0632\u0645\u0627\u0646\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u0646\u062f \u0627\u06cc\u062c\u0627\u062f \u0634\u0648\u0646\u062f \u06a9\u0647 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0627\u0646\u062a\u0642\u0627\u0644 &#8211; \u0634\u0627\u0646\u0633 \u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0632 \u06cc\u06a9 \u062d\u0627\u0644\u062a \u0628\u0647 \u062d\u0627\u0644\u062a \u062f\u06cc\u06af\u0631 \u062f\u0631 \u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641 &#8211; \u0648 \u062a\u0648\u0632\u06cc\u0639 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0648\u0644\u06cc\u0647 \u0631\u0627 \u0645\u0634\u062e\u0635 \u06a9\u0646\u06cc\u0645.<\/p>\n<p>\u06cc\u06a9 HMM \u06af\u0627\u0648\u0633\u06cc \u0641\u0631\u0636 \u0645\u06cc\u200c\u06a9\u0646\u062f \u06a9\u0647 \u0631\u0648\u06cc\u062f\u0627\u062f\u0647\u0627 \u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u062a\u0648\u0633\u0637 \u06cc\u06a9 \u062a\u0648\u0632\u06cc\u0639 \u06af\u0627\u0648\u0633\u06cc \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u0634\u062f\u0647\u200c\u0627\u0646\u062f \u06a9\u0647 \u062a\u0648\u0632\u06cc\u0639 \u0646\u0631\u0645\u0627\u0644 \u0646\u06cc\u0632 \u0646\u0627\u0645\u06cc\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/p>\n<figure class=\"kg-card kg-image-card kg-width-wide kg-card-hascaption\"><img decoding=\"async\" src=\"https:\/\/rasanegaar.com\/blog\/wp-content\/uploads\/2024\/07\/normal-distribution.png\" class=\"kg-image\" alt=\"\u062a\u0648\u0632\u06cc\u0639 \u0646\u0631\u0645\u0627\u0644\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><figcaption>\u062a\u0648\u0632\u06cc\u0639 \u0646\u0631\u0645\u0627\u0644<\/figcaption><\/figure>\n<p>\u06cc\u06a9 \u062a\u0648\u0632\u06cc\u0639 \u0646\u0631\u0645\u0627\u0644 \u0645\u0627\u0646\u0646\u062f \u06cc\u06a9 \u0645\u0646\u062d\u0646\u06cc \u0632\u0646\u06af\u06cc \u0634\u06a9\u0644 \u0627\u0633\u062a \u06a9\u0647 \u0686\u06af\u0648\u0646\u06af\u06cc \u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc \u0627\u0634\u06cc\u0627 \u062f\u0631 \u0637\u0628\u06cc\u0639\u062a \u0631\u0627 \u062a\u0648\u0635\u06cc\u0641 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<p>\u062a\u0648\u0632\u06cc\u0639 \u0646\u0631\u0645\u0627\u0644 \u0628\u0633\u06cc\u0627\u0631 \u0645\u0647\u0645 \u0627\u0633\u062a \u0632\u06cc\u0631\u0627 \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0631\u0648\u06cc\u062f\u0627\u062f\u0647\u0627\u06cc \u0637\u0628\u06cc\u0639\u06cc \u0645\u0627\u0646\u0646\u062f \u0642\u062f \u0627\u0646\u0633\u0627\u0646\u060c \u0627\u0634\u062a\u0628\u0627\u0647\u0627\u062a \u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u06cc\u0631\u06cc\u060c \u0627\u062d\u062a\u0645\u0627\u0644 \u0634\u06cc\u0648\u0639 \u06cc\u06a9 \u0628\u06cc\u0645\u0627\u0631\u06cc \u0648 \u0628\u0633\u06cc\u0627\u0631\u06cc \u0645\u0648\u0627\u0631\u062f \u062f\u06cc\u06af\u0631 \u0631\u0627 \u062a\u0648\u0635\u06cc\u0641 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<p>\u0648 \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0631\u0648\u06cc\u062f\u0627\u062f\u0647\u0627\u06cc \u0637\u0628\u06cc\u0639\u06cc \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0628\u0627 \u06cc\u06a9 \u062a\u0648\u0632\u06cc\u0639 \u0646\u0631\u0645\u0627\u0644 \u0628\u0627 \u0642\u0636\u06cc\u0647 \u062d\u062f \u0645\u0631\u06a9\u0632\u06cc \u062a\u0648\u0635\u06cc\u0641 \u0646\u0634\u0648\u0646\u062f\u060c \u0645\u06cc \u062a\u0648\u0627\u0646 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0631\u0627\u06cc \u062a\u0648\u0635\u06cc\u0641 \u0628\u0627 \u06cc\u06a9 \u062a\u0648\u0632\u06cc\u0639 \u0646\u0631\u0645\u0627\u0644 \u062a\u0642\u0631\u06cc\u0628 \u0632\u062f.<\/p>\n<p>\u0628\u0647 \u0627\u06cc\u0646 \u062a\u0631\u062a\u06cc\u0628\u060c \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646 \u0645\u0627\u0631\u06a9\u0648\u0641 (HMM) \u062a\u0648\u0633\u0637 \u06cc\u06a9 \u062a\u0648\u0632\u06cc\u0639 \u0646\u0631\u0645\u0627\u0644 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f \u06a9\u0647 \u0646\u0634\u0627\u0646\u200c\u062f\u0647\u0646\u062f\u0647 \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u067e\u062f\u06cc\u062f\u0647\u200c\u0647\u0627 \u062f\u0631 \u0637\u0628\u06cc\u0639\u062a \u0648 \u062c\u0627\u0645\u0639\u0647 \u0627\u0633\u062a.<\/p>\n<p>\u062f\u0631 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 hmmlearn \u0646\u06cc\u0632 \u0627\u0645\u06a9\u0627\u0646 \u0627\u06cc\u062c\u0627\u062f \u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u0631\u0648\u06cc \u062a\u0648\u0632\u06cc\u0639 \u067e\u0648\u0627\u0633\u0648\u0646<\/p>\n<p>\u0628\u0647 \u0639\u0628\u0627\u0631\u062a \u0633\u0627\u062f\u0647\u060c \u067e\u0648\u0627\u0633\u0648\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0631\u0627 \u0645\u062f\u0644 \u0633\u0627\u0632\u06cc \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0648\u0642\u0648\u0639 \u0631\u0648\u06cc\u062f\u0627\u062f\u0647\u0627 \u0631\u0627 \u062f\u0631 \u06cc\u06a9 \u0628\u0627\u0632\u0647 \u0632\u0645\u0627\u0646\u06cc \u06cc\u0627 \u0645\u06a9\u0627\u0646\u06cc \u062b\u0627\u0628\u062a \u062a\u0648\u0635\u06cc\u0641 \u0645\u06cc \u06a9\u0646\u062f.  \u0627\u06cc\u0646 \u0628\u0647 \u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647 \u0627\u06cc \u062f\u0631 \u0627\u0631\u062a\u0628\u0627\u0637\u0627\u062a \u0631\u0627\u0647 \u062f\u0648\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<p>\u0645\u0628\u062a\u0646\u06cc \u0628\u0631 HMM \u0631\u0648\u06cc \u062a\u0648\u0632\u06cc\u0639 \u067e\u0648\u0627\u0633\u0648\u0646 \u0631\u0648\u06cc\u062f\u0627\u062f\u0647\u0627\u06cc\u06cc \u0631\u0627 \u06a9\u0647 \u0627\u063a\u0644\u0628 \u062a\u0635\u0627\u062f\u0641\u06cc \u0648 \u0645\u0633\u062a\u0642\u0644 \u0647\u0633\u062a\u0646\u062f \u062f\u0631 \u06cc\u06a9 \u0628\u0627\u0632\u0647 \u0632\u0645\u0627\u0646\u06cc \u0645\u0634\u062e\u0635 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<h3 id=\"define-transition-matrix-means-and-covariances-for-each-state\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%a7%d8%aa%d8%b1%db%8c%d8%b3_%d8%a7%d9%86%d8%aa%d9%82%d8%a7%d9%84%d8%8c_%d9%85%db%8c%d8%a7%d9%86%da%af%db%8c%d9%86_%d9%87%d8%a7_%d9%88_%da%a9%d9%88%d9%88%d8%a7%d8%b1%db%8c%d8%a7%d9%86%d8%b3_%d9%87%d8%a7_%d8%b1%d8%a7_%d8%a8%d8%b1%d8%a7%db%8c_%d9%87%d8%b1_%d8%ad%d8%a7%d9%84%d8%aa_%d8%aa%d8%b9%d8%b1%db%8c%d9%81_%da%a9%d9%86%db%8c%d8%af\"><\/span>\u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0646\u062a\u0642\u0627\u0644\u060c \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0647\u0627 \u0648 \u06a9\u0648\u0648\u0627\u0631\u06cc\u0627\u0646\u0633 \u0647\u0627 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0647\u0631 \u062d\u0627\u0644\u062a \u062a\u0639\u0631\u06cc\u0641 \u06a9\u0646\u06cc\u062f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<pre><code>model.startprob_ = np.array([0.6, 0.4])\nmodel.transmat_ = np.array([[0.7, 0.3],\n                            [0.4, 0.6]])\n\nmodel.means_ = np.array([[0.0], [3.0]])\nmodel.covars_ = np.array([[0.5], [0.5]])<\/code><\/pre>\n<figure class=\"kg-card kg-image-card kg-width-wide kg-card-hascaption\"><img decoding=\"async\" src=\"https:\/\/rasanegaar.com\/blog\/wp-content\/uploads\/2024\/07\/4.png\" class=\"kg-image\" alt=\"4\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><figcaption>\u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0646\u062a\u0642\u0627\u0644\u060c \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0647\u0627 \u0648 \u06a9\u0648\u0648\u0627\u0631\u06cc\u0627\u0646\u0633 \u0647\u0627 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0647\u0631 \u062d\u0627\u0644\u062a \u062a\u0639\u0631\u06cc\u0641 \u06a9\u0646\u06cc\u062f<\/figcaption><\/figure>\n<p><strong><code>model.startprob_ = np.array([0.6, 0.4])<\/code><\/strong>:<\/p>\n<ul>\n<li>\u0627\u06cc\u0646 \u062e\u0637 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u062d\u0627\u0644\u062a \u0627\u0648\u0644\u06cc\u0647 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0645\u062f\u0644 \u067e\u0646\u0647\u0627\u0646 \u0645\u0627\u0631\u06a9\u0648\u0641 (HMM) \u062a\u0646\u0638\u06cc\u0645 \u0645\u06cc \u06a9\u0646\u062f.  \u0627\u06cc\u0646 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u06a9\u0647 60% \u0627\u062d\u062a\u0645\u0627\u0644 \u0634\u0631\u0648\u0639 \u062f\u0631 \u062d\u0627\u0644\u062a 0 \u0648 40% \u0627\u062d\u062a\u0645\u0627\u0644 \u0634\u0631\u0648\u0639 \u062f\u0631 \u062d\u0627\u0644\u062a 1 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.<\/li>\n<\/ul>\n<p><strong><code>model.transmat_ = np.array([[0.7, 0.3], [0.4, 0.6]])<\/code><\/strong>:<\/p>\n<ul>\n<li>\u0627\u06cc\u0646 \u062e\u0637 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0646\u062a\u0642\u0627\u0644 \u062d\u0627\u0644\u062a \u0631\u0627 \u0628\u0631\u0627\u06cc HMM \u062a\u0646\u0638\u06cc\u0645 \u0645\u06cc \u06a9\u0646\u062f.  \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0632 \u06cc\u06a9 \u062d\u0627\u0644\u062a \u0628\u0647 \u062d\u0627\u0644\u062a \u062f\u06cc\u06af\u0631 \u0631\u0627 \u0645\u0634\u062e\u0635 \u0645\u06cc \u06a9\u0646\u062f:<\/li>\n<li>\u0627\u0632 \u062d\u0627\u0644\u062a 0\u060c 70% \u0627\u062d\u062a\u0645\u0627\u0644 \u0645\u0627\u0646\u062f\u0646 \u062f\u0631 \u062d\u0627\u0644\u062a 0 \u0648 30% \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0646\u062a\u0642\u0627\u0644 \u0628\u0647 \u062d\u0627\u0644\u062a 1 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.<\/li>\n<li>\u0627\u0632 \u062d\u0627\u0644\u062a 1\u060c 40% \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0646\u062a\u0642\u0627\u0644 \u0628\u0647 \u062d\u0627\u0644\u062a 0 \u0648 60% \u0627\u062d\u062a\u0645\u0627\u0644 \u0645\u0627\u0646\u062f\u0646 \u062f\u0631 \u062d\u0627\u0644\u062a 1 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.<\/li>\n<\/ul>\n<p><strong><code>model.means_ = np.array([[0.0], [3.0]])<\/code><\/strong>:<\/p>\n<ul>\n<li>\u0627\u06cc\u0646 \u062e\u0637 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0631\u0627 \u0628\u0631\u0627\u06cc \u062a\u0648\u0632\u06cc\u0639 \u0645\u0634\u0627\u0647\u062f\u0647 \u062f\u0631 \u0647\u0631 \u062d\u0627\u0644\u062a \u062a\u0646\u0638\u06cc\u0645 \u0645\u06cc \u06a9\u0646\u062f.  \u0627\u06cc\u0646 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u06a9\u0647 \u0645\u0634\u0627\u0647\u062f\u0627\u062a \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0627 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 0.0 \u062f\u0631 \u062d\u0627\u0644\u062a 0 \u0648 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 3.0 \u062f\u0631 \u062d\u0627\u0644\u062a 1 \u062a\u0648\u0632\u06cc\u0639 \u0645\u06cc \u0634\u0648\u0646\u062f.<\/li>\n<\/ul>\n<p><strong><code>model.covars_ = np.array([[0.5], [0.5]])<\/code><\/strong>:<\/p>\n<ul>\n<li>\u0627\u06cc\u0646 \u062e\u0637 \u0645\u0642\u0627\u062f\u06cc\u0631 \u06a9\u0648\u0648\u0627\u0631\u06cc\u0627\u0646\u0633 \u0631\u0627 \u0628\u0631\u0627\u06cc \u062a\u0648\u0632\u06cc\u0639 \u0645\u0634\u0627\u0647\u062f\u0647 \u062f\u0631 \u0647\u0631 \u062d\u0627\u0644\u062a \u062a\u0646\u0638\u06cc\u0645 \u0645\u06cc \u06a9\u0646\u062f.  \u0645\u0634\u062e\u0635 \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0648\u0627\u0631\u06cc\u0627\u0646\u0633 (\u06a9\u0648\u0648\u0627\u0631\u06cc\u0627\u0646\u0633 \u062f\u0631 \u0627\u06cc\u0646 \u062d\u0627\u0644\u062a 1 \u0628\u0639\u062f\u06cc) \u0645\u0634\u0627\u0647\u062f\u0627\u062a \u0628\u0631\u0627\u06cc \u0647\u0631 \u062f\u0648 \u062d\u0627\u0644\u062a 0 \u0648 1 0.5 \u0627\u0633\u062a.<\/li>\n<\/ul>\n<h3 id=\"create-data-new-hmm-instance-and-fit-the-model-with-the-data\"><span class=\"ez-toc-section\" id=\"%d8%af%d8%a7%d8%af%d9%87_%d9%87%d8%a7%d8%8c_%d9%86%d9%85%d9%88%d9%86%d9%87_hmm_%d8%ac%d8%af%db%8c%d8%af_%d8%a7%db%8c%d8%ac%d8%a7%d8%af_%da%a9%d9%86%db%8c%d8%af_%d9%88_%d9%85%d8%af%d9%84_%d8%b1%d8%a7_%d8%a8%d8%a7_%d8%af%d8%a7%d8%af%d9%87_%d9%87%d8%a7_%d9%85%d8%b7%d8%a7%d8%a8%d9%82%d8%aa_%d8%af%d9%87%db%8c%d8%af\"><\/span>\u062f\u0627\u062f\u0647 \u0647\u0627\u060c \u0646\u0645\u0648\u0646\u0647 HMM \u062c\u062f\u06cc\u062f \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u062f \u0648 \u0645\u062f\u0644 \u0631\u0627 \u0628\u0627 \u062f\u0627\u062f\u0647 \u0647\u0627 \u0645\u0637\u0627\u0628\u0642\u062a \u062f\u0647\u06cc\u062f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<pre><code>X, Z = model.sample(100)  # 100 samples\n\nnew_model = hmm.GaussianHMM(n_components=n_components, covariance_type=\"diag\", n_iter=100)\n\nnew_model.fit(X)\n\nprint(\"Transition matrix:\")\nprint(new_model.transmat_)\nprint(\"Means:\")\nprint(new_model.means_)\nprint(\"Covariances:\")\nprint(new_model.covars_)<\/code><\/pre>\n<figure class=\"kg-card kg-image-card kg-width-wide kg-card-hascaption\"><img decoding=\"async\" src=\"https:\/\/rasanegaar.com\/blog\/wp-content\/uploads\/2024\/07\/5.png\" class=\"kg-image\" alt=\"5\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><figcaption>\u062f\u0627\u062f\u0647 \u0647\u0627\u060c \u0646\u0645\u0648\u0646\u0647 HMM \u062c\u062f\u06cc\u062f \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u062f \u0648 \u0645\u062f\u0644 \u0631\u0627 \u0628\u0627 \u062f\u0627\u062f\u0647 \u0647\u0627 \u0645\u0637\u0627\u0628\u0642\u062a \u062f\u0647\u06cc\u062f<\/figcaption><\/figure>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u06a9\u062f \u06cc\u06a9 \u0645\u062f\u0644 \u0628\u0627 100 \u0646\u0645\u0648\u0646\u0647 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0631\u062f\u06cc\u0645\u060c \u0622\u0646 \u0631\u0627 100 \u0628\u0627\u0631 \u062a\u06a9\u0631\u0627\u0631 \u06a9\u0631\u062f\u06cc\u0645 \u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0646\u062a\u0642\u0627\u0644 \u062d\u0627\u0644\u062a \u062c\u062f\u06cc\u062f\u060c \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0647\u0627 \u0648 \u06a9\u0648\u0648\u0627\u0631\u06cc\u0627\u0646\u0633 \u0647\u0627 \u0631\u0627 \u0686\u0627\u067e \u06a9\u0631\u062f\u06cc\u0645.<\/p>\n<p>\u0628\u0647 \u0639\u0628\u0627\u0631\u062a \u062f\u06cc\u06af\u0631\u060c \u0645\u0627 100 \u0646\u0645\u0648\u0646\u0647 \u0627\u0632 \u0645\u062f\u0644 \u0627\u0635\u0644\u06cc \u062a\u0648\u0644\u06cc\u062f \u06a9\u0631\u062f\u06cc\u0645\u060c \u06cc\u06a9 \u0645\u062f\u0644 \u062c\u062f\u06cc\u062f \u0645\u0627\u0631\u06a9\u0648\u0641 \u0645\u062e\u0641\u06cc (HMM) \u0631\u0627 \u062f\u0631 \u0627\u06cc\u0646 \u0646\u0645\u0648\u0646\u0647 \u0647\u0627 \u0642\u0631\u0627\u0631 \u062f\u0627\u062f\u06cc\u0645 \u0648 \u0633\u067e\u0633 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0622\u0645\u0648\u062e\u062a\u0647 \u0634\u062f\u0647 \u0627\u06cc\u0646 \u0645\u062f\u0644 \u062c\u062f\u06cc\u062f \u0631\u0627 \u0686\u0627\u067e \u06a9\u0631\u062f\u06cc\u0645.<\/p>\n<ul>\n<li><strong>\u0627\u06cc\u06a9\u0633 <\/strong>\u0628\u0647 \u0645\u0639\u0646\u06cc \u0646\u0645\u0648\u0646\u0647 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0645\u0634\u0627\u0647\u062f\u0647 \u0634\u062f\u0647 \u062a\u0648\u0644\u06cc\u062f \u0634\u062f\u0647 \u062a\u0648\u0633\u0637 \u0645\u062f\u0644 \u0627\u0635\u0644\u06cc \u0627\u0633\u062a.<\/li>\n<li><strong>\u0632 <\/strong>\u0628\u0647 \u0645\u0639\u0646\u06cc \u062a\u0648\u0627\u0644\u06cc \u062d\u0627\u0644\u062a \u067e\u0646\u0647\u0627\u0646 \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0646\u0645\u0648\u0646\u0647 \u0647\u0627\u06cc \u062f\u0627\u062f\u0647 \u0645\u0634\u0627\u0647\u062f\u0647 \u0634\u062f\u0647 \u062a\u0648\u0644\u06cc\u062f \u0634\u062f\u0647 \u062a\u0648\u0633\u0637 \u0645\u062f\u0644 \u0627\u0635\u0644\u06cc \u0627\u0633\u062a.<\/li>\n<\/ul>\n<p><strong>\u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0646\u062a\u0642\u0627\u0644 \u0686\u0627\u067e \u0645\u06cc \u0634\u0648\u062f:<\/strong><\/p>\n<pre><code>[[0.8100804  0.1899196 ]\n [0.49398918 0.50601082]]<\/code><\/pre>\n<p>\u0627\u06cc\u0646 \u0628\u062f\u0627\u0646 \u0645\u0639\u0646\u0627\u0633\u062a \u06a9\u0647 \u0645\u062f\u0644 \u062a\u0645\u0627\u06cc\u0644 \u062f\u0627\u0631\u062f \u062f\u0631 \u062d\u0627\u0644\u062a 0 \u0628\u0645\u0627\u0646\u062f \u0648 \u062f\u0631 \u062d\u0627\u0644\u062a 1 \u062a\u0642\u0631\u06cc\u0628\u0627\u064b \u0634\u0627\u0646\u0633 \u062a\u063a\u06cc\u06cc\u0631 \u06cc\u0627 \u0645\u0627\u0646\u062f\u0646 \u0631\u0627 \u062f\u0627\u0631\u062f.<\/p>\n<p><strong>\u0627\u0628\u0632\u0627\u0631 print \u0628\u06cc\u0631\u0648\u0646:<\/strong><\/p>\n<pre><code>[[0.01577373]\n [3.06245496]]<\/code><\/pre>\n<p>\u0628\u0647 \u0627\u06cc\u0646 \u0645\u0639\u0646\u06cc \u06a9\u0647 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0645\u0642\u062f\u0627\u0631 \u0645\u0634\u0627\u0647\u062f\u0647 \u0634\u062f\u0647 \u062a\u0642\u0631\u06cc\u0628\u0627\u064b 0.016 \u062f\u0631 \u062d\u0627\u0644\u062a 0 \u0648 3.062 \u062f\u0631 \u062d\u0627\u0644\u062a 1 \u0627\u0633\u062a.<\/p>\n<p><strong>\u06a9\u0648\u0648\u0627\u0631\u06cc\u0627\u0646\u0633 \u0647\u0627 print \u0628\u06cc\u0631\u0648\u0646:<\/strong><\/p>\n<pre><code>[[[0.41987084]]\n [[0.53146802]]]<\/code><\/pre>\n<p>\u06cc\u0639\u0646\u06cc \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u0634\u0627\u0647\u062f\u0647 \u0634\u062f\u0647 \u062f\u0631 \u062d\u0627\u0644\u062a 0 \u062d\u062f\u0648\u062f 0.420 \u0648 \u062f\u0631 \u062d\u0627\u0644\u062a 1 0.531 \u062a\u063a\u06cc\u06cc\u0631 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<p>\u0628\u0647 \u0627\u06cc\u0646 \u062a\u0631\u062a\u06cc\u0628\u060c \u0645\u0627 \u0647\u0631\u06af\u0632 \u0646\u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u062f\u0642\u06cc\u0642\u0627\u064b \u0627\u0631\u0632\u0634\u200c\u0647\u0627\u06cc \u062d\u0627\u0644\u062a\u200c\u0647\u0627 \u0631\u0627 \u0628\u062f\u0627\u0646\u06cc\u0645\u060c \u0627\u0645\u0627 \u0645\u06cc\u200c\u062f\u0627\u0646\u06cc\u0645:<\/p>\n<ul>\n<li>\u0686\u06af\u0648\u0646\u0647 \u0622\u0646\u0647\u0627 \u062a\u0645\u0627\u06cc\u0644 \u0628\u0647 \u062a\u063a\u06cc\u06cc\u0631 \u0628\u0627 \u06cc\u06a9\u062f\u06cc\u06af\u0631 \u062f\u0627\u0631\u0646\u062f<\/li>\n<li>\u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0645\u0642\u062f\u0627\u0631 \u0645\u0634\u0627\u0647\u062f\u0647 \u0634\u062f\u0647 \u0622\u0646\u0647\u0627<\/li>\n<li>\u0686\u06af\u0648\u0646\u0647 \u0622\u0646\u0647\u0627 \u0645\u062a\u0641\u0627\u0648\u062a \u0647\u0633\u062a\u0646\u062f<\/li>\n<\/ul>\n<h3 id=\"predict-the-hidden-states-for-the-observed-data\"><span class=\"ez-toc-section\" id=\"%d9%be%db%8c%d8%b4_%d8%a8%db%8c%d9%86%db%8c_%d8%ad%d8%a7%d9%84%d8%aa_%d9%87%d8%a7%db%8c_%d9%be%d9%86%d9%87%d8%a7%d9%86_%d8%a8%d8%b1%d8%a7%db%8c_%d8%af%d8%a7%d8%af%d9%87_%d9%87%d8%a7%db%8c_%d9%85%d8%b4%d8%a7%d9%87%d8%af%d9%87_%d8%b4%d8%af%d9%87\"><\/span>\u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u062d\u0627\u0644\u062a \u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646 \u0628\u0631\u0627\u06cc \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0645\u0634\u0627\u0647\u062f\u0647 \u0634\u062f\u0647<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<pre><code>hidden_states = new_model.predict(X)\n\nprint(\"Hidden states:\")\nprint(hidden_states)<\/code><\/pre>\n<figure class=\"kg-card kg-image-card kg-width-wide kg-card-hascaption\"><img decoding=\"async\" src=\"https:\/\/rasanegaar.com\/blog\/wp-content\/uploads\/2024\/07\/6.png\" class=\"kg-image\" alt=\"6\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><figcaption>\u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u062d\u0627\u0644\u062a \u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646 \u0628\u0631\u0627\u06cc \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0645\u0634\u0627\u0647\u062f\u0647 \u0634\u062f\u0647<\/figcaption><\/figure>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u06a9\u062f\u060c \u0628\u0631 \u0627\u0633\u0627\u0633 \u0631\u0648\u06cc X \u0646\u0645\u0648\u0646\u0647 \u0647\u0627\u06cc \u062f\u0627\u062f\u0647 \u0631\u0627 \u0645\u0634\u0627\u0647\u062f\u0647 \u06a9\u0631\u062f\u060c \u0645\u0627 \u062d\u0627\u0644\u062a \u0647\u0627\u06cc \u062c\u062f\u06cc\u062f \u0645\u062f\u0644 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0631\u0627 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u06a9\u0631\u062f\u06cc\u0645.<\/p>\n<p>\u062d\u0627\u0644\u0627\u062a \u067e\u0646\u0647\u0627\u0646 print \u0628\u06cc\u0631\u0648\u0646:<\/p>\n<pre><code>[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 1 0 1 0 0 0 1\n 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0\n 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0]<\/code><\/pre>\n<p>\u0628\u0647 \u0627\u06cc\u0646 \u0645\u0639\u0646\u06cc \u06a9\u0647 \u062d\u0627\u0644\u062a \u0647\u0627\u06cc \u067e\u0646\u0647\u0627\u0646 \u0628\u06cc\u0646 \u062d\u0627\u0644\u062a 0 \u0648 \u062d\u0627\u0644\u062a 1 \u062c\u0627\u0628\u062c\u0627 \u0645\u06cc \u0634\u0648\u0646\u062f \u0648 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u0646\u062f \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0633\u06cc\u0633\u062a\u0645 \u062f\u0631 \u0637\u0648\u0644 \u0632\u0645\u0627\u0646 \u062d\u0627\u0644\u062a \u0647\u0627 \u0631\u0627 \u062a\u063a\u06cc\u06cc\u0631 \u0645\u06cc \u062f\u0647\u062f.<\/p>\n<h2 id=\"conclusion-the-future-of-markov-chains\"><span class=\"ez-toc-section\" id=\"%d9%86%d8%aa%db%8c%d8%ac%d9%87_%da%af%db%8c%d8%b1%db%8c_%d8%a2%db%8c%d9%86%d8%af%d9%87_%d8%b2%d9%86%d8%ac%db%8c%d8%b1%d9%87_%d9%85%d8%a7%d8%b1%da%a9%d9%88%d9%81\"><\/span>\u0646\u062a\u06cc\u062c\u0647 \u06af\u06cc\u0631\u06cc: \u0622\u06cc\u0646\u062f\u0647 \u0632\u0646\u062c\u06cc\u0631\u0647 \u0645\u0627\u0631\u06a9\u0648\u0641<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<figure class=\"kg-card kg-image-card kg-width-wide kg-card-hascaption\"><img decoding=\"async\" src=\"https:\/\/www.freecodecamp.org\/news\/content\/images\/2024\/06\/ff.png\" class=\"kg-image\" alt=\"ff\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><figcaption>\u062f\u0646\u06cc\u0627\u06cc \u0639\u0644\u0645<\/figcaption><\/figure>\n<p>\u0632\u0646\u062c\u06cc\u0631\u0647 \u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0628\u0647 \u062f\u0644\u06cc\u0644 \u062a\u0648\u0627\u0646\u0627\u06cc\u06cc \u0622\u0646\u0647\u0627 \u062f\u0631 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0622\u06cc\u0646\u062f\u0647 \u0628\u0647 \u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647 \u062f\u0631 \u0632\u0645\u06cc\u0646\u0647 \u0647\u0627\u06cc STEM \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f \u0631\u0648\u06cc \u062d\u0627\u0644 \u062d\u0627\u0636\u0631<\/p>\n<p>\u0632\u0646\u062c\u06cc\u0631\u0647 \u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0628\u06cc\u0634\u062a\u0631 \u0628\u0627 \u0647\u0648\u0634 \u0645\u0635\u0646\u0648\u0639\u06cc\u060c \u0628\u0647\u0628\u0648\u062f \u0627\u062a\u0648\u0645\u0627\u0633\u06cc\u0648\u0646 \u0648 \u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u067e\u06cc\u0634\u06af\u0648\u06cc\u0627\u0646\u0647 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627 \u0627\u062f\u063a\u0627\u0645 \u0634\u062f\u0647 \u0627\u0646\u062f.<\/p>\n<p>\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646\u060c \u062a\u0648\u0633\u0639\u0647 \u0632\u0646\u062c\u06cc\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0627\u0632 \u0646\u0638\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u06a9\u0627\u0631\u0622\u0645\u062f\u062a\u0631 \u06cc\u06a9 \u0627\u0648\u0644\u0648\u06cc\u062a \u0628\u0632\u0631\u06af \u0627\u0633\u062a \u0648 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0631\u0627\u06cc \u067e\u0631\u062f\u0627\u0632\u0634 \u0628\u0644\u0627\u062f\u0631\u0646\u06af \u0648 \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc\u200c\u0647\u0627\u06cc \u0645\u0642\u06cc\u0627\u0633 \u0628\u0632\u0631\u06af \u062f\u0631 \u062f\u0633\u062a\u0631\u0633\u200c\u062a\u0631 \u0645\u06cc\u200c\u0633\u0627\u0632\u062f.<\/p>\n<p>\u0628\u0647 \u0637\u0648\u0631 \u062e\u0644\u0627\u0635\u0647\u060c \u0632\u0646\u062c\u06cc\u0631\u0647 \u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0628\u0647 \u062f\u0644\u06cc\u0644 \u062a\u0648\u0627\u0646\u0627\u06cc\u06cc \u0622\u0646\u0647\u0627 \u062f\u0631 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0622\u06cc\u0646\u062f\u0647\u060c \u0627\u0628\u0632\u0627\u0631 \u0628\u0633\u06cc\u0627\u0631 \u0645\u0647\u0645\u06cc \u062f\u0631 \u0639\u0644\u0645 \u0647\u0633\u062a\u0646\u062f.<\/p>\n<p>\u0628\u0627 \u0647\u0648\u0634 \u0645\u0635\u0646\u0648\u0639\u06cc \u0648 \u06a9\u0627\u0631\u0627\u06cc\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0628\u06cc\u0634\u062a\u0631\u060c \u0632\u0646\u062c\u06cc\u0631\u0647 \u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u062f\u0631 \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0632\u0645\u06cc\u0646\u0647 \u0647\u0627\u06cc \u062f\u06cc\u06af\u0631 \u0646\u06cc\u0632 \u0628\u0647 \u06a9\u0627\u0631 \u0628\u0631\u062f \u0648 \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0645\u0634\u06a9\u0644\u0627\u062a \u0631\u0627 \u062d\u0644 \u06a9\u0631\u062f.<\/p>\n<\/section>\n<p><br \/>\n<br \/>\u0645\u0646\u062a\u0634\u0631 \u0634\u062f\u0647 \u062f\u0631 1403-07-08 20:27:10<br \/>\n<\/p>\n\n\n<div class=\"kk-star-ratings kksr-auto kksr-align-center kksr-valign-bottom\"\n    data-payload='{&quot;align&quot;:&quot;center&quot;,&quot;id&quot;:&quot;17595&quot;,&quot;slug&quot;:&quot;default&quot;,&quot;valign&quot;:&quot;bottom&quot;,&quot;ignore&quot;:&quot;&quot;,&quot;reference&quot;:&quot;auto&quot;,&quot;class&quot;:&quot;&quot;,&quot;count&quot;:&quot;0&quot;,&quot;legendonly&quot;:&quot;&quot;,&quot;readonly&quot;:&quot;&quot;,&quot;score&quot;:&quot;0&quot;,&quot;starsonly&quot;:&quot;&quot;,&quot;best&quot;:&quot;5&quot;,&quot;gap&quot;:&quot;5&quot;,&quot;greet&quot;:&quot;\u0627\u0645\u062a\u06cc\u0627\u0632 \u0634\u0645\u0627 \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0637\u0644\u0628&quot;,&quot;legend&quot;:&quot;0\\\/5 (0 \u0631\u0627\u06cc)&quot;,&quot;size&quot;:&quot;30&quot;,&quot;title&quot;:&quot;\u0632\u0646\u062c\u06cc\u0631 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0686\u06cc\u0633\u062a\u061f  \u0628\u0627 \u0645\u062b\u0627\u0644 \u0647\u0627\u06cc \u06a9\u062f \u067e\u0627\u06cc\u062a\u0648\u0646 \u062a\u0648\u0636\u06cc\u062d \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a&quot;,&quot;width&quot;:&quot;0&quot;,&quot;_legend&quot;:&quot;{score}\\\/{best} ({count} \u0631\u0627\u06cc)&quot;,&quot;font_factor&quot;:&quot;1.25&quot;}'>\n            \n<div class=\"kksr-stars\">\n    \n<div class=\"kksr-stars-inactive\">\n            <div class=\"kksr-star\" data-star=\"1\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"2\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"3\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"4\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"5\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n    <\/div>\n    \n<div class=\"kksr-stars-active\" style=\"width: 0px;\">\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-left: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 30px; height: 30px;\"><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n                \n\n<div class=\"kksr-legend\" style=\"font-size: 24px;\">\n            <span class=\"kksr-muted\">\u0627\u0645\u062a\u06cc\u0627\u0632 \u0634\u0645\u0627 \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0637\u0644\u0628<\/span>\n    <\/div>\n    <\/div>\n","protected":false},"excerpt":{"rendered":"<p><span class=\"span-reading-time rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">\u0632\u0645\u0627\u0646 \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u0645\u0637\u0627\u0644\u0639\u0647: <\/span> <span class=\"rt-time\"> 8<\/span> <span class=\"rt-label rt-postfix\">\u062f\u0642\u06cc\u0642\u0647<\/span><\/span>\u0627\u0628\u0632\u0627\u0631\u0647\u0627\u06cc \u0631\u06cc\u0627\u0636\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0627\u0632 \u0622\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0622\u06cc\u0646\u062f\u0647 \u0646\u0632\u062f\u06cc\u06a9 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f \u0631\u0648\u06cc \u06cc\u06a9 \u0648\u0636\u0639\u06cc\u062a \u0641\u0639\u0644\u06cc \u06cc\u06a9\u06cc \u0627\u0632 \u067e\u0631\u06a9\u0627\u0631\u0628\u0631\u062f\u062a\u0631\u06cc\u0646 \u0622\u0646\u0647\u0627 \u0632\u0646\u062c\u06cc\u0631 \u0645\u0627\u0631\u06a9\u0648\u0641 \u0627\u0633\u062a. \u0632\u0646\u062c\u06cc\u0631\u0647 \u0647\u0627\u06cc \u0645\u0627\u0631\u06a9\u0648\u0641 \u0628\u0647 \u0634\u0645\u0627 \u0627\u0645\u06a9\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u062a\u0627 \u0639\u062f\u0645 \u0642\u0637\u0639\u06cc\u062a \u0631\u0648\u06cc\u062f\u0627\u062f\u0647\u0627\u06cc \u0622\u06cc\u0646\u062f\u0647 \u0631\u0627 \u062a\u062d\u062a \u0634\u0631\u0627\u06cc\u0637 \u062e\u0627\u0635\u06cc \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u06a9\u0646\u06cc\u062f. \u0628\u0647 \u0647\u0645\u06cc\u0646 \u062f\u0644\u06cc\u0644\u060c \u0628\u0647 \u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647 \u062f\u0631 [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":17596,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1743,1686],"tags":[1748,3100,1920,1811,1919,1916,1779,1744,2096,1104,1796,5261,2097,2552,5262,1918,1809,1939,1785],"class_list":["post-17595","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-python","category-ai","tag-python-hosting","tag-3100","tag-1920","tag-1811","tag----python","tag-1916","tag-1779","tag-1744","tag-2096","tag-1104","tag-1796","tag-5261","tag-2097","tag-2552","tag-5262","tag-1918","tag-1809","tag-1939","tag-1785"],"acf":[],"_links":{"self":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/posts\/17595","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/comments?post=17595"}],"version-history":[{"count":0,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/posts\/17595\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/media\/17596"}],"wp:attachment":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/media?parent=17595"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/categories?post=17595"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/tags?post=17595"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}