{"id":15097,"date":"2024-01-08T16:13:12","date_gmt":"2024-01-08T12:43:12","guid":{"rendered":"https:\/\/rasanegar.com\/blog\/%d9%85%d8%ad%d8%a7%d8%b3%d8%a8%d9%87-%d9%81%d8%a7%d8%b5%d9%84%d9%87-%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c-%d8%a8%d8%a7-numpy\/"},"modified":"2024-01-08T16:13:12","modified_gmt":"2024-01-08T12:43:12","slug":"%d9%85%d8%ad%d8%a7%d8%b3%d8%a8%d9%87-%d9%81%d8%a7%d8%b5%d9%84%d9%87-%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c-%d8%a8%d8%a7-numpy","status":"publish","type":"post","link":"https:\/\/rasanegaar.com\/blog\/%d9%85%d8%ad%d8%a7%d8%b3%d8%a8%d9%87-%d9%81%d8%a7%d8%b5%d9%84%d9%87-%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c-%d8%a8%d8%a7-numpy\/","title":{"rendered":"\u0645\u062d\u0627\u0633\u0628\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0628\u0627 NumPy"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">\u0633\u0631\u0641\u0635\u0644\u0647\u0627\u06cc \u0645\u0637\u0644\u0628<\/p>\n<\/div><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/rasanegaar.com\/blog\/%d9%85%d8%ad%d8%a7%d8%b3%d8%a8%d9%87-%d9%81%d8%a7%d8%b5%d9%84%d9%87-%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c-%d8%a8%d8%a7-numpy\/#%d9%81%d8%a7%d8%b5%d9%84%d9%87_%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c_%da%86%db%8c%d8%b3%d8%aa%d8%9f\" >\u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0686\u06cc\u0633\u062a\u061f<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/rasanegaar.com\/blog\/%d9%85%d8%ad%d8%a7%d8%b3%d8%a8%d9%87-%d9%81%d8%a7%d8%b5%d9%84%d9%87-%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c-%d8%a8%d8%a7-numpy\/#%d9%81%d8%b1%d9%85%d9%88%d9%84_%d8%b1%db%8c%d8%a7%d8%b6%db%8c\" >\u0641\u0631\u0645\u0648\u0644 \u0631\u06cc\u0627\u0636\u06cc<\/a><\/li><\/ul><\/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\/%d9%85%d8%ad%d8%a7%d8%b3%d8%a8%d9%87-%d9%81%d8%a7%d8%b5%d9%84%d9%87-%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c-%d8%a8%d8%a7-numpy\/#%d9%85%d8%ad%d8%a7%d8%b3%d8%a8%d9%87_%d9%81%d8%a7%d8%b5%d9%84%d9%87_%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c_%d8%af%d8%b1_%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86_%d8%a8%d8%a7_numpy\" >\u0645\u062d\u0627\u0633\u0628\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0627 NumPy<\/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\/%d9%85%d8%ad%d8%a7%d8%b3%d8%a8%d9%87-%d9%81%d8%a7%d8%b5%d9%84%d9%87-%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c-%d8%a8%d8%a7-numpy\/#npsqrt_%d9%88_npsum\" >np.sqrt() \u0648 np.sum()<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/rasanegaar.com\/blog\/%d9%85%d8%ad%d8%a7%d8%b3%d8%a8%d9%87-%d9%81%d8%a7%d8%b5%d9%84%d9%87-%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c-%d8%a8%d8%a7-numpy\/#nplinalgnorm\" >np.linalg.norm()<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/rasanegaar.com\/blog\/%d9%85%d8%ad%d8%a7%d8%b3%d8%a8%d9%87-%d9%81%d8%a7%d8%b5%d9%84%d9%87-%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c-%d8%a8%d8%a7-numpy\/#npdot\" >np.dot ()<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/rasanegaar.com\/blog\/%d9%85%d8%ad%d8%a7%d8%b3%d8%a8%d9%87-%d9%81%d8%a7%d8%b5%d9%84%d9%87-%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c-%d8%a8%d8%a7-numpy\/#%d8%a8%d8%a7_%d8%a7%d8%b3%d8%aa%d9%81%d8%a7%d8%af%d9%87_%d8%a7%d8%b2_%d8%aa%d9%88%da%a9%d8%a7%d8%b1_mathdist\" >\u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062a\u0648\u06a9\u0627\u0631 math.dist()<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/rasanegaar.com\/blog\/%d9%85%d8%ad%d8%a7%d8%b3%d8%a8%d9%87-%d9%81%d8%a7%d8%b5%d9%84%d9%87-%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c-%d8%a8%d8%a7-numpy\/#%d9%86%d8%aa%db%8c%d8%ac%d9%87\" >\u0646\u062a\u06cc\u062c\u0647<\/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\"> 5<\/span> <span class=\"rt-label rt-postfix\">\u062f\u0642\u06cc\u0642\u0647<\/span><\/span><p> <br \/>\n<\/p>\n<div><noscript><\/noscript><\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0631\u0627\u0647\u0646\u0645\u0627 &#8211; \u0645\u0627 \u0646\u06af\u0627\u0647\u06cc \u0628\u0647 <em>\u0631\u0648\u0634 \u0645\u062d\u0627\u0633\u0628\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0628\u06cc\u0646 \u062f\u0648 \u0646\u0642\u0637\u0647 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 Numpy.<\/em><\/p>\n<h2 id=\"whatiseuclideandistance\"><span class=\"ez-toc-section\" id=\"%d9%81%d8%a7%d8%b5%d9%84%d9%87_%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c_%da%86%db%8c%d8%b3%d8%aa%d8%9f\"><\/span>\u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0686\u06cc\u0633\u062a\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><em>\u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc<\/em> \u06cc\u06a9 \u0645\u062a\u0631\u06cc\u06a9 \u0627\u0633\u0627\u0633\u06cc \u0641\u0627\u0635\u0644\u0647 \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u062f\u0627\u062e\u0644 \u0627\u0633\u062a <em>\u0641\u0636\u0627\u06cc \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc<\/em>.<\/p>\n<blockquote>\n<p>\u0641\u0636\u0627\u06cc \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0627\u0633\u062a <em>\u0641\u0636\u0627\u06cc \u0647\u0646\u062f\u0633\u06cc \u06a9\u0644\u0627\u0633\u06cc\u06a9<\/em> \u06a9\u0647 \u062f\u0631 \u06a9\u0644\u0627\u0633 \u0631\u06cc\u0627\u0636\u06cc \u0628\u0627 \u0622\u0646 \u0622\u0634\u0646\u0627 \u0645\u06cc \u0634\u0648\u06cc\u062f\u060c \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0647 3 \u0628\u0639\u062f \u0645\u062d\u062f\u0648\u062f \u0645\u06cc \u0634\u0648\u062f.  \u0627\u06af\u0631\u0686\u0647\u060c \u0645\u06cc \u062a\u0648\u0627\u0646 \u0622\u0646 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0647\u0631 \u0628\u0639\u062f \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u063a\u06cc\u0631 \u0645\u0646\u0641\u06cc \u0646\u06cc\u0632 \u062a\u062c\u0648\u06cc\u0632 \u06a9\u0631\u062f.<\/p>\n<\/blockquote>\n<blockquote>\n<p>\u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u06a9\u0648\u062a\u0627\u0647\u062a\u0631\u06cc\u0646 \u062e\u0637 \u0628\u06cc\u0646 \u062f\u0648 \u0646\u0642\u0637\u0647 \u062f\u0631 \u0641\u0636\u0627\u06cc \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0627\u0633\u062a.<\/p>\n<\/blockquote>\n<p>\u0627\u06cc\u0646 \u0646\u0627\u0645 \u0627\u0632 \u0627\u0642\u0644\u06cc\u062f\u0633 \u06af\u0631\u0641\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0647 \u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647 \u0627\u06cc \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0634\u0646\u0627\u062e\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a <em>&#8220;\u067e\u062f\u0631 \u0647\u0646\u062f\u0633\u0647&#8221;<\/em>\u060c \u0632\u06cc\u0631\u0627 \u0627\u06cc\u0646 \u062a\u0646\u0647\u0627 \u0641\u0636\u0627\u06cc\u06cc \u0628\u0648\u062f \u06a9\u0647 \u0645\u0631\u062f\u0645 \u0622\u0646 \u0632\u0645\u0627\u0646 \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0622\u0646 \u0631\u0627 \u062a\u0635\u0648\u0631 \u0645\u06cc \u06a9\u0631\u062f\u0646\u062f.  \u062f\u0631 \u0637\u0648\u0644 \u0632\u0645\u0627\u0646\u060c \u0627\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641\u06cc \u0627\u0632 \u0641\u0636\u0627 \u062f\u0631 \u0641\u06cc\u0632\u06cc\u06a9 \u0648 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u0645\u0634\u0627\u0647\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a\u060c \u0645\u0627\u0646\u0646\u062f <em>\u0641\u0636\u0627\u06cc Affine<\/em>\u0648 \u0641\u0636\u0627\u0647\u0627\u06cc \u063a\u06cc\u0631 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0648 \u0647\u0646\u062f\u0633\u0647 \u0628\u0631\u0627\u06cc \u0627\u062f\u0631\u0627\u06a9 \u0634\u0646\u0627\u062e\u062a\u06cc \u0645\u0627 \u0628\u0633\u06cc\u0627\u0631 \u063a\u06cc\u0631 \u0634\u0647\u0648\u062f\u06cc \u0647\u0633\u062a\u0646\u062f.<\/p>\n<blockquote>\n<p>\u062f\u0631 \u0641\u0636\u0627\u06cc \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0633\u0647 \u0628\u0639\u062f\u06cc\u060c \u06a9\u0648\u062a\u0627\u0647\u062a\u0631\u06cc\u0646 \u062e\u0637 \u0628\u06cc\u0646 \u062f\u0648 \u0646\u0642\u0637\u0647 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f <strong>\u0647\u0645\u06cc\u0634\u0647 \u06cc\u06a9 \u062e\u0637 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0628\u0627\u0634\u06cc\u062f<\/strong> \u0628\u06cc\u0646 \u0622\u0646\u0647\u0627\u060c \u0627\u06af\u0631\u0686\u0647 \u0627\u06cc\u0646 \u0628\u0631\u0627\u06cc \u0627\u0628\u0639\u0627\u062f \u0628\u0627\u0644\u0627\u062a\u0631 \u0635\u062f\u0642 \u0646\u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<\/blockquote>\n<p>\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0627\u06cc\u0646 \u0648\u0627\u0642\u0639\u06cc\u062a\u060c \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0647\u0645\u06cc\u0634\u0647 \u0645\u0641\u06cc\u062f\u062a\u0631\u06cc\u0646 \u0645\u0639\u06cc\u0627\u0631 \u0628\u0631\u0627\u06cc \u067e\u06cc\u06af\u06cc\u0631\u06cc \u062f\u0631 \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u0627 \u0627\u0628\u0639\u0627\u062f \u0645\u062e\u062a\u0644\u0641 \u0646\u06cc\u0633\u062a \u0648 \u0645\u0627 \u062a\u0645\u0631\u06a9\u0632 \u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f. \u0631\u0648\u06cc \u0641\u0636\u0627\u06cc \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u062f\u0648 \u0628\u0639\u062f\u06cc \u0648 \u0633\u0647 \u0628\u0639\u062f\u06cc \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc.<\/p>\n<p>\u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u06cc\u0631\u06cc \u0641\u0627\u0635\u0644\u0647 \u0628\u0631\u0627\u06cc \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0628\u0627 \u0627\u0628\u0639\u0627\u062f \u0628\u0627\u0644\u0627 \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0627 \u0633\u0627\u06cc\u0631 \u0645\u0639\u06cc\u0627\u0631\u0647\u0627\u06cc \u0641\u0627\u0635\u0644\u0647 \u0645\u0627\u0646\u0646\u062f \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u0634\u0648\u062f <em>\u0641\u0627\u0635\u0644\u0647 \u0645\u0646\u0647\u062a\u0646<\/em>.<\/p>\n<p>\u0628\u0647 \u0637\u0648\u0631 \u06a9\u0644\u06cc\u060c \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u062f\u0627\u0631\u062f <em>\u0639\u0645\u062f\u0647<\/em> \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062f\u0631 \u062a\u0648\u0633\u0639\u0647 \u062c\u0647\u0627\u0646 \u0647\u0627\u06cc \u0633\u0647 \u0628\u0639\u062f\u06cc \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646 \u06a9\u0647 \u0634\u0627\u0645\u0644 \u0645\u0639\u06cc\u0627\u0631\u0647\u0627\u06cc \u0641\u0627\u0635\u0644\u0647 \u0627\u0633\u062a\u060c \u0645\u0627\u0646\u0646\u062f K-Nearest Neighbors.  \u0628\u0647 \u0637\u0648\u0631 \u0645\u0639\u0645\u0648\u0644\u060c \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u06a9\u0647 \u062f\u0648 \u0646\u0642\u0637\u0647 \u062f\u0627\u062f\u0647 \u0686\u0642\u062f\u0631 \u0634\u0628\u06cc\u0647 \u0628\u0647 \u06cc\u06a9\u062f\u06cc\u06af\u0631 \u0647\u0633\u062a\u0646\u062f &#8211; \u0628\u0627 \u0641\u0631\u0636 \u0628\u0631\u062e\u06cc \u0627\u0632 \u062e\u0648\u0634\u0647 \u0628\u0646\u062f\u06cc \u0647\u0627 \u0631\u0648\u06cc \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u062f\u06cc\u06af\u0631 \u0642\u0628\u0644\u0627\u064b \u0627\u0646\u062c\u0627\u0645 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<h3 id=\"mathematicalformula\"><span class=\"ez-toc-section\" id=\"%d9%81%d8%b1%d9%85%d9%88%d9%84_%d8%b1%db%8c%d8%a7%d8%b6%db%8c\"><\/span>\u0641\u0631\u0645\u0648\u0644 \u0631\u06cc\u0627\u0636\u06cc<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0641\u0631\u0645\u0648\u0644 \u0631\u06cc\u0627\u0636\u06cc \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0628\u06cc\u0646 2 \u0646\u0642\u0637\u0647 \u062f\u0631 \u0641\u0636\u0627\u06cc \u062f\u0648 \u0628\u0639\u062f\u06cc:<br \/>$$<br \/>d(p,q) = \\sqrt(2){(q_1-p_1)^2 + (q_2-p_2)^2 }<br \/>$$<br \/>\u0627\u06cc\u0646 \u0641\u0631\u0645\u0648\u0644 \u0628\u0647 \u0631\u0627\u062d\u062a\u06cc \u0628\u0627 \u0641\u0636\u0627\u06cc \u0633\u0647 \u0628\u0639\u062f\u06cc \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0647\u0631 \u0627\u0628\u0639\u0627\u062f\u06cc \u0633\u0627\u0632\u06af\u0627\u0631 \u0627\u0633\u062a:<br \/>$$<br \/>d(p,q) = \\sqrt(2){(q_1-p_1)^2 + (q_2-p_2)^2 + (q_3-p_3)^2 }<br \/>$$<br \/>\u0641\u0631\u0645\u0648\u0644 \u06a9\u0644\u06cc \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0633\u0627\u062f\u0647 \u06a9\u0631\u062f:<br \/>$$<br \/>d(p,q) = \\sqrt(2){(q_1-p_1)^2 + &#8230; + (q_n-p_n)^2 }<br \/>$$<br \/>\u06cc\u06a9 \u0686\u0634\u0645 \u062a\u06cc\u0632\u0628\u06cc\u0646 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0645\u062a\u0648\u062c\u0647 \u0634\u0628\u0627\u0647\u062a \u0628\u06cc\u0646 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0648 \u0642\u0636\u06cc\u0647 \u0641\u06cc\u062b\u0627\u063a\u0648\u0631\u062b \u0634\u0648\u062f:<br \/>$$<br \/>C^2 = A^2 + B^2<br \/>$$<\/p>\n<p>$$<br \/>d(p,q)^2 = (q_1-p_1)^2 + (q_2-p_2)^2<br \/>$$<\/p>\n<p>\u062f\u0631 \u0648\u0627\u0642\u0639 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f <em>\u0627\u0633\u062a<\/em> \u06cc\u06a9 \u0631\u0627\u0628\u0637\u0647 \u0628\u06cc\u0646 \u0627\u06cc\u0646\u0647\u0627 &#8211; \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0627\u0632 \u0637\u0631\u06cc\u0642 \u0642\u0636\u06cc\u0647 \u0641\u06cc\u062b\u0627\u063a\u0648\u0631\u062b \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0645\u062e\u062a\u0635\u0627\u062a \u062f\u06a9\u0627\u0631\u062a\u06cc \u062f\u0648 \u0646\u0642\u0637\u0647 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<blockquote>\n<p>\u0628\u0647 \u062e\u0627\u0637\u0631 \u0647\u0645\u06cc\u0646\u060c <strong>\u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc<\/strong> \u06af\u0627\u0647\u06cc \u0627\u0648\u0642\u0627\u062a \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0634\u0646\u0627\u062e\u062a\u0647 \u0645\u06cc \u0634\u0648\u062f <strong>\u0641\u0627\u0635\u0644\u0647 \u0641\u06cc\u062b\u0627\u063a\u0648\u0631\u062b<\/strong>\u0648 \u0647\u0645\u0686\u0646\u06cc\u0646\u060c \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0646\u0627\u0645 \u0642\u0628\u0644\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0628\u06cc\u0634\u062a\u0631 \u0634\u0646\u0627\u062e\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<\/blockquote>\n<div class=\"alert alert-note\">\n<div class=\"flex\">\n<div class=\"flex-shrink-0 mr-3\"><\/div>\n<div class=\"w-full\">\n<p><strong>\u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f<\/strong>: \u062f\u0648 \u0646\u0642\u0637\u0647 \u0628\u0631\u062f\u0627\u0631 \u0647\u0633\u062a\u0646\u062f\u060c \u0627\u0645\u0627 \u062e\u0631\u0648\u062c\u06cc \u0628\u0627\u06cc\u062f \u0627\u0633\u06a9\u0627\u0644\u0631 \u0628\u0627\u0634\u062f (\u06a9\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0633\u062a).<\/p>\n<\/p><\/div><\/div><\/div>\n<p>\u0645\u0627 \u0627\u0632 NumPy \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u06cc\u0646 \u0641\u0627\u0635\u0644\u0647 \u0628\u0631\u0627\u06cc \u062f\u0648 \u0646\u0642\u0637\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062e\u0648\u0627\u0647\u06cc\u0645 \u06a9\u0631\u062f \u0648 \u0647\u0645\u06cc\u0646 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0628\u0631\u0627\u06cc \u0641\u0636\u0627\u0647\u0627\u06cc \u062f\u0648 \u0628\u0639\u062f\u06cc \u0648 \u0633\u0647 \u0628\u0639\u062f\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">import<\/span> matplotlib.pyplot <span class=\"hljs-keyword\">as<\/span> plt\n<span class=\"hljs-keyword\">from<\/span> mpl_toolkits.mplot3d <span class=\"hljs-keyword\">import<\/span> Axes3D\n\nfig = plt.figure()\nax = fig.add_subplot(<span class=\"hljs-number\">111<\/span>, projection = <span class=\"hljs-string\">'3d'<\/span>)\n\nax.scatter(<span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>)\nax.scatter(<span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">3<\/span>)\nplt.show()\n<\/code><\/pre>\n<p><img decoding=\"async\" src=\"https:\/\/rasanegar.com\/blog\/wp-content\/uploads\/2024\/01\/calculating-euclidean-distance-with-numpy-1.png\" alt=\"\u062f\u0648 \u0646\u0642\u0637\u0647 \u062f\u0631 \u0641\u0636\u0627\u06cc \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc\" title=\"\"><\/p>\n<h2 id=\"calculatingeuclideandistanceinpythonwithnumpy\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%ad%d8%a7%d8%b3%d8%a8%d9%87_%d9%81%d8%a7%d8%b5%d9%84%d9%87_%d8%a7%d9%82%d9%84%db%8c%d8%af%d8%b3%db%8c_%d8%af%d8%b1_%d9%be%d8%a7%db%8c%d8%aa%d9%88%d9%86_%d8%a8%d8%a7_numpy\"><\/span>\u0645\u062d\u0627\u0633\u0628\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0627 NumPy<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0627\u0628\u062a\u062f\u0627 \u0628\u0627\u06cc\u062f \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u0631\u0627 \u0646\u0635\u0628 \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-meta\">$<\/span><span class=\"bash\"> pip install numpy<\/span>\n<\/code><\/pre>\n<p>\u062d\u0627\u0644\u0627 \u0648\u0642\u062a\u0647 import \u0648 \u062f\u0648 \u0646\u0642\u0637\u0647 \u062e\u0648\u062f \u0631\u0627 \u0628\u0627 \u0645\u062e\u062a\u0635\u0627\u062a \u062f\u06a9\u0627\u0631\u062a\u06cc \u0628\u0647 \u0635\u0648\u0631\u062a (0\u060c 0\u060c 0) \u0648 (3\u060c 3\u060c 3) \u062a\u0646\u0638\u06cc\u0645 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">import<\/span> numpy <span class=\"hljs-keyword\">as<\/span> np\n\npoint_1 = np.array((<span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>))\npoint_2 = np.array((<span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">3<\/span>))\n<\/code><\/pre>\n<p>\u0627\u06a9\u0646\u0648\u0646\u060c \u0628\u0647 \u062c\u0627\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u0645\u062d\u0627\u0633\u0628\u0647 \u0631\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u062f\u0633\u062a\u06cc \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u0645\u060c \u0627\u0632 \u0631\u0648\u0634 \u0647\u0627\u06cc \u06a9\u0645\u06a9\u06cc NumPy \u0628\u0631\u0627\u06cc \u0622\u0633\u0627\u0646 \u062a\u0631 \u06a9\u0631\u062f\u0646 \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645!<\/p>\n<h2 id=\"npsqrtandnpsum\"><span class=\"ez-toc-section\" id=\"npsqrt_%d9%88_npsum\"><\/span><em>np.sqrt()<\/em> \u0648 <em>np.sum()<\/em><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0639\u0645\u0644\u06cc\u0627\u062a \u0648 \u062a\u0648\u0627\u0628\u0639 \u0631\u06cc\u0627\u0636\u06cc \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0633\u0627\u062f\u0647 \u0627\u0633\u062a: <em>\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646<\/em>\u060c <em>\u0645\u0646\u0647\u0627 \u06a9\u0631\u062f\u0646<\/em>\u060c \u0628\u0647 \u0647\u0645\u0627\u0646 \u062e\u0648\u0628\u06cc <em>\u0645\u0631\u0628\u0639 root \u062a\u0627\u0628\u0639<\/em>.  \u0627\u0641\u0632\u0648\u062f\u0646 \u0647\u0627\u06cc \u0645\u062a\u0639\u062f\u062f \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0627 a \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u06a9\u0631\u062f <em>\u0645\u062c\u0645\u0648\u0639<\/em>\u060c \u0647\u0645\u0686\u0646\u06cc\u0646:<br \/>$$<br \/>d(p,q) = \\sqrt(2){(q_1-p_1)^2 + (q_2-p_2)^2 + (q_3-p_3)^2 }<br \/>$$<\/p>\n<p>NumPy \u0628\u0647 \u0645\u0627 \u06cc\u06a9 <code>np.sqrt()<\/code> \u062a\u0627\u0628\u0639\u060c \u0646\u0634\u0627\u0646 \u062f\u0647\u0646\u062f\u0647 \u0645\u0631\u0628\u0639 \u0627\u0633\u062a root \u0639\u0645\u0644\u06a9\u0631\u062f\u060c \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u06cc\u06a9 <code>np.sum()<\/code> \u062a\u0627\u0628\u0639\u060c \u06a9\u0647 \u06cc\u06a9 \u062c\u0645\u0639 \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f.  \u0628\u0627 \u0627\u06cc\u0646 \u0645\u0648\u0627\u0631\u062f\u060c \u0645\u062d\u0627\u0633\u0628\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0633\u0627\u062f\u0647 \u0648 \u0634\u0647\u0648\u062f\u06cc \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">\nsquare = np.square(point_1 - point_2)\n\nsum_square = np.<span class=\"hljs-built_in\">sum<\/span>(square)\n<\/code><\/pre>\n<p>\u0627\u06cc\u0646 \u06cc\u06a9 \u0646\u062a\u06cc\u062c\u0647 \u0628\u0633\u06cc\u0627\u0631 \u0633\u0627\u062f\u0647 \u0628\u0647 \u0645\u0627 \u0645\u06cc \u062f\u0647\u062f:<\/p>\n<pre><code class=\"hljs\">(<span class=\"hljs-number\">0<\/span>-<span class=\"hljs-number\">3<\/span>)^<span class=\"hljs-number\">2<\/span> + (<span class=\"hljs-number\">0<\/span>-<span class=\"hljs-number\">3<\/span>)^<span class=\"hljs-number\">2<\/span> + (<span class=\"hljs-number\">0<\/span>-<span class=\"hljs-number\">3<\/span>)^<span class=\"hljs-number\">2<\/span>\n<\/code><\/pre>\n<p>\u06a9\u0647 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627 <em>27<\/em>.  \u062a\u0646\u0647\u0627 \u0686\u06cc\u0632\u06cc \u06a9\u0647 \u0628\u0627\u0642\u06cc \u0645\u06cc \u0645\u0627\u0646\u062f \u0628\u062f\u0633\u062a \u0622\u0648\u0631\u062f\u0646 \u0645\u0631\u0628\u0639 \u0627\u0633\u062a root \u0627\u0632 \u0622\u0646 \u0639\u062f\u062f:<\/p>\n<pre><code class=\"hljs\">\ndistance = np.sqrt(sum_square)\n<span class=\"hljs-built_in\">print<\/span>(distance)\n<\/code><\/pre>\n<p>\u0627\u06cc\u0646 \u0646\u062a\u06cc\u062c\u0647 \u062f\u0631:<\/p>\n<pre><code class=\"hljs\">5.196152422706632\n<\/code><\/pre>\n<p>\u062f\u0631 \u0631\u0648\u062d \u0648\u0627\u0642\u0639\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646\u06cc\u06a9\u060c \u0627\u06cc\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u062a\u0646\u0647\u0627 \u0628\u0647 \u06cc\u06a9 \u062e\u0637 \u06a9\u0648\u062a\u0627\u0647 \u0634\u0648\u062f:<\/p>\n<pre><code class=\"hljs\">distance = np.sqrt(np.<span class=\"hljs-built_in\">sum<\/span>(np.square(point_1 - point_2)))\n<\/code><\/pre>\n<p>\u0648 \u062d\u062a\u06cc \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u062f\u0627\u062e\u0644\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f <code>pow()<\/code> \u0648 <code>sum()<\/code> \u0631\u0648\u0634 \u0647\u0627\u06cc <code>math<\/code> \u062f\u0631 \u0639\u0648\u0636 \u0645\u0627\u0698\u0648\u0644 \u067e\u0627\u06cc\u062a\u0648\u0646\u060c \u0647\u0631 \u0686\u0646\u062f \u0622\u0646\u0647\u0627 \u0627\u0632 \u0634\u0645\u0627 \u0645\u06cc \u062e\u0648\u0627\u0647\u0646\u062f \u06a9\u0647 \u06a9\u0645\u06cc \u0628\u0627 \u0648\u0631\u0648\u062f\u06cc \u0647\u06a9 \u06a9\u0646\u06cc\u062f\u060c \u06a9\u0647 \u0628\u0647 \u0631\u0627\u062d\u062a\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 NumPy \u0627\u0646\u062a\u0632\u0627\u0639 \u0645\u06cc \u0634\u0648\u062f. <code>pow()<\/code> \u062a\u0627\u0628\u0639 \u0641\u0642\u0637 \u0628\u0627 \u0627\u0633\u06a9\u0627\u0644\u0631\u0647\u0627 \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f (\u0647\u0631 \u0639\u0646\u0635\u0631 \u062f\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0628\u0647 \u0635\u0648\u0631\u062a \u062c\u062f\u0627\u06af\u0627\u0646\u0647) \u0648 \u06cc\u06a9 \u0622\u0631\u06af\u0648\u0645\u0627\u0646 \u0631\u0627 \u0645\u06cc \u067e\u0630\u06cc\u0631\u062f &#8211; \u0639\u062f\u062f \u0631\u0627 \u0628\u0647 \u0686\u0647 \u0642\u062f\u0631\u062a\u06cc \u0627\u0641\u0632\u0627\u06cc\u0634 \u0645\u06cc \u062f\u0647\u06cc\u062f.<\/p>\n<p>\u0627\u06cc\u0646 \u0631\u0648\u06cc\u06a9\u0631\u062f\u060c \u0647\u0631 \u0686\u0646\u062f\u060c \u0628\u0647 \u0637\u0648\u0631 \u0634\u0647\u0648\u062f\u06cc <em>\u0628\u0647 \u0646\u0638\u0631 \u0645\u06cc \u0631\u0633\u062f<\/em> \u0628\u06cc\u0634\u062a\u0631 \u0634\u0628\u06cc\u0647 \u0641\u0631\u0645\u0648\u0644\u06cc \u06a9\u0647 \u0642\u0628\u0644\u0627\u064b \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f\u0647 \u0627\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">from<\/span> math <span class=\"hljs-keyword\">import<\/span> *\ndistance = np.sqrt(<span class=\"hljs-built_in\">sum<\/span>(<span class=\"hljs-built_in\">pow<\/span>(a-b, <span class=\"hljs-number\">2<\/span>) <span class=\"hljs-keyword\">for<\/span> a, b <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">zip<\/span>(point_1, point_2)))\n<span class=\"hljs-built_in\">print<\/span>(distance)\n<\/code><\/pre>\n<p>\u0627\u06cc\u0646 \u0646\u06cc\u0632 \u0645\u0646\u062c\u0631 \u0628\u0647:<\/p>\n<pre><code class=\"hljs\">5.196152422706632\n<\/code><\/pre>\n<h2 id=\"nplinalgnorm\"><span class=\"ez-toc-section\" id=\"nplinalgnorm\"><\/span><em>np.linalg.norm()<\/em><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0627\u06cc\u0646 <code>np.linalg.norm()<\/code> \u062a\u0627\u0628\u0639 \u0646\u0634\u0627\u0646 \u062f\u0647\u0646\u062f\u0647 a \u0627\u0633\u062a <em>\u0647\u0646\u062c\u0627\u0631 \u0631\u06cc\u0627\u0636\u06cc<\/em>.  \u062f\u0631 \u0627\u0635\u0644 \u060c \u0627\u0644\u0641 <em>\u0647\u0646\u062c\u0627\u0631<\/em> \u0627\u0632 \u06cc\u06a9 \u0628\u0631\u062f\u0627\u0631 \u0622\u0646 \u0627\u0633\u062a <em>\u0637\u0648\u0644<\/em>.  \u0627\u06cc\u0646 \u0637\u0648\u0644 \u0644\u0632\u0648\u0645\u0627\u064b \u0644\u0627\u0632\u0645 \u0646\u06cc\u0633\u062a <em>\u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc<\/em>\u060c \u0648 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0645\u0633\u0627\u0641\u062a \u0647\u0627\u06cc \u062f\u06cc\u06af\u0631\u06cc \u0646\u06cc\u0632 \u0628\u0627\u0634\u062f.  \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0627\u0633\u062a <strong>\u0647\u0646\u062c\u0627\u0631 L2 \u06cc\u06a9 \u0628\u0631\u062f\u0627\u0631<\/strong> (\u06af\u0627\u0647\u06cc \u0627\u0648\u0642\u0627\u062a \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 <strong>\u0647\u0646\u062c\u0627\u0631 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc<\/strong>) \u0648 \u0628\u0647 \u0637\u0648\u0631 \u067e\u06cc\u0634 \u0641\u0631\u0636 \u060c <code>norm()<\/code> \u062a\u0627\u0628\u0639 \u0627\u0632 L2 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u062f &#8211; <code>ord<\/code> \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u0631\u0648\u06cc 2 \u062a\u0646\u0638\u06cc\u0645 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<div class=\"alert alert-note\">\n<div class=\"flex\">\n<div class=\"flex-shrink-0 mr-3\"><\/div>\n<div class=\"w-full\">\n<p>\u0627\u06af\u0631 \u0642\u0631\u0627\u0631 \u0628\u0648\u062f \u062a\u0646\u0638\u06cc\u0645 \u06a9\u0646\u06cc\u062f <code>ord<\/code> \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u0628\u0647 \u0645\u0642\u062f\u0627\u0631\u06cc \u062f\u06cc\u06af\u0631 <em>\u067e<\/em>\u060c \u0634\u0645\u0627 \u062f\u06cc\u06af\u0631 \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u062f <em>\u06a9\u0631\u0645 \u0647\u0627\u06cc P<\/em>.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c <em>L1 \u0647\u0646\u062c\u0627\u0631 \u06cc\u06a9 \u0628\u0631\u062f\u0627\u0631 \u0641\u0627\u0635\u0644\u0647 \u0645\u0646\u0647\u062a\u0646 \u0627\u0633\u062a<\/em>!<\/p>\n<\/p><\/div><\/div><\/div>\n<p>\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0627\u06cc\u0646 \u060c \u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u0632 <code>np.linalg.norm() <\/code> \u062a\u0627\u0628\u0639\u06cc \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0628\u0647 \u0631\u0627\u062d\u062a\u06cc \u0648 \u0628\u0633\u06cc\u0627\u0631 \u062a\u0645\u06cc\u0632\u062a\u0631 \u0627\u0632 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0633\u0627\u06cc\u0631 \u062a\u0648\u0627\u0628\u0639:<\/p>\n<pre><code class=\"hljs\">distance = np.linalg.norm(point_1-point_2)\n<span class=\"hljs-built_in\">print<\/span>(distance)\n<\/code><\/pre>\n<p>\u0627\u06cc\u0646 \u0645\u0646\u062c\u0631 \u0628\u0647 \u0686\u0627\u067e \u0641\u0627\u0635\u0644\u0647 L2\/\u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0645\u06cc \u0634\u0648\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-number\">5.196152422706632<\/span>\n<\/code><\/pre>\n<p><em>\u0639\u0627\u062f\u06cc \u0633\u0627\u0632\u06cc L2<\/em> \u0648 <em>\u0639\u0627\u062f\u06cc \u0633\u0627\u0632\u06cc L1<\/em> \u0628\u0647 \u0634\u062f\u062a \u062f\u0631 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646 \u0628\u0631\u0627\u06cc \u0639\u0627\u062f\u06cc \u0633\u0627\u0632\u06cc \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0648\u0631\u0648\u062f\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<blockquote>\n<p>\u0627\u06af\u0631 \u0645\u06cc\u200c\u062e\u0648\u0627\u0647\u06cc\u062f \u062f\u0631\u0628\u0627\u0631\u0647 \u0645\u0642\u06cc\u0627\u0633\u200c\u0628\u0646\u062f\u06cc \u0648\u06cc\u0698\u06af\u06cc\u200c\u0647\u0627 \u0628\u06cc\u0634\u062a\u0631 \u0628\u062f\u0627\u0646\u06cc\u062f &#8211; \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u0645\u0627 \u0628\u0631\u0627\u06cc \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u06cc \u0645\u0642\u06cc\u0627\u0633\u200c\u0628\u0646\u062f\u06cc \u0648\u06cc\u0698\u06af\u06cc \u0628\u0627 Scikit-Learn \u0631\u0627 \u0628\u062e\u0648\u0627\u0646\u06cc\u062f!<\/p>\n<\/blockquote>\n<h2 id=\"npdot\"><span class=\"ez-toc-section\" id=\"npdot\"><\/span><em>np.dot ()<\/em><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0647\u0645\u0686\u0646\u06cc\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u0632 a \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645 <em><strong>\u0646\u0642\u0637\u0647 \u0645\u062d\u0635\u0648\u0644<\/strong><\/em>  \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc  \u062f\u0631 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a\u060c <em>\u0645\u062d\u0635\u0648\u0644 \u0646\u0642\u0637\u0647 \u0627\u06cc<\/em> \u0646\u062a\u06cc\u062c\u0647 \u0636\u0631\u0628 \u062f\u0648 \u0628\u0631\u062f\u0627\u0631 \u0628\u0627 \u0637\u0648\u0644 \u0645\u0633\u0627\u0648\u06cc \u0627\u0633\u062a \u0648 \u0646\u062a\u06cc\u062c\u0647 \u06cc\u06a9 \u0639\u062f\u062f \u0648\u0627\u062d\u062f \u0627\u0633\u062a &#8211; \u06cc\u06a9 \u0645\u0642\u062f\u0627\u0631 \u0627\u0633\u06a9\u0627\u0644\u0631.  \u0628\u0647 \u062f\u0644\u06cc\u0644 \u0646\u0648\u0639 \u0628\u0631\u06af\u0634\u062a\u06cc\u060c \u06af\u0627\u0647\u06cc \u0627\u0648\u0642\u0627\u062a \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 a \u0646\u06cc\u0632 \u0634\u0646\u0627\u062e\u062a\u0647 \u0645\u06cc \u0634\u0648\u062f <em><strong>&#8220;\u062d\u0627\u0635\u0644\u0636\u0631\u0628 \u0639\u062f\u062f\u06cc&#8221;<\/strong><\/em>.  \u0627\u06cc\u0646 \u0639\u0645\u0644\u06cc\u0627\u062a \u0627\u063a\u0644\u0628 \u0646\u0627\u0645\u06cc\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f <strong>\u0645\u062d\u0635\u0648\u0644 \u062f\u0627\u062e\u0644\u06cc<\/strong> \u0628\u0631\u0627\u06cc \u062f\u0648 \u0628\u0631\u062f\u0627\u0631<\/p>\n<p>\u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0646\u0642\u0637\u0647 \u0628\u06cc\u0646 2 \u0628\u0631\u062f\u0627\u0631 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u0641\u0631\u0645\u0648\u0644 \u0632\u06cc\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f:<br \/>$$<br \/>\\vec{p} \\cdot \\vec{q} = {(q_1-p_1) + (q_2-p_2) + (q_3-p_3) }<br \/>$$<\/p>\n<p>\u0628\u0627 NumPy \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0627\u0632 \u0622\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645 <code>np.dot()<\/code> \u062a\u0627\u0628\u0639\u060c \u0639\u0628\u0648\u0631 \u062f\u0631 \u062f\u0648 \u0628\u0631\u062f\u0627\u0631.<\/p>\n<p>\u0627\u06af\u0631 \u0645\u0627 \u06cc\u06a9 \u0645\u062d\u0635\u0648\u0644 \u0646\u0642\u0637\u0647 \u0627\u06cc \u0627\u0632 \u062a\u0641\u0627\u0648\u062a \u0628\u06cc\u0646 \u0647\u0631 \u062f\u0648 \u0646\u0642\u0637\u0647 \u0631\u0627 \u0628\u0627 \u0647\u0645\u0627\u0646 \u062a\u0641\u0627\u0648\u062a \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u0645 &#8211; \u0639\u062f\u062f\u06cc \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc \u0622\u06cc\u062f \u06a9\u0647 \u0628\u0627 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0628\u06cc\u0646 \u0622\u0646 \u062f\u0648 \u0628\u0631\u062f\u0627\u0631 \u0631\u0627\u0628\u0637\u0647 \u062f\u0627\u0631\u062f.  \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0645\u0631\u0628\u0639 root \u0627\u0632 \u0622\u0646 \u0639\u062f\u062f\u060c \u0645\u0633\u0627\u0641\u062a\u06cc \u0631\u0627 \u06a9\u0647 \u062f\u0631 \u062c\u0633\u062a\u062c\u0648\u06cc \u0622\u0646 \u0647\u0633\u062a\u06cc\u0645\u060c \u0645\u0634\u062e\u0635 \u0645\u06cc \u06a9\u0646\u062f:<\/p>\n<pre><code class=\"hljs\">\ndiff = point_1 - point_2\n\nsum_square = np.dot(diff, diff)\n\ndistance = np.sqrt(sum_square)\n<span class=\"hljs-built_in\">print<\/span>(distance)\n<\/code><\/pre>\n<p>\u0627\u0644\u0628\u062a\u0647\u060c \u0634\u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u06cc\u0646 \u0631\u0627 \u0628\u0647 \u06cc\u06a9 \u062e\u0637 \u0646\u06cc\u0632 \u06a9\u0648\u062a\u0627\u0647 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">distance = np.sqrt(np.dot(point_1-point_2, point_1-point_2))\n<span class=\"hljs-built_in\">print<\/span>(distance)\n<\/code><\/pre>\n<pre><code class=\"hljs\"><span class=\"hljs-number\">5.196152422706632<\/span>\n<\/code><\/pre>\n<h2 id=\"usingthebuiltinmathdist\"><span class=\"ez-toc-section\" id=\"%d8%a8%d8%a7_%d8%a7%d8%b3%d8%aa%d9%81%d8%a7%d8%af%d9%87_%d8%a7%d8%b2_%d8%aa%d9%88%da%a9%d8%a7%d8%b1_mathdist\"><\/span>\u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062a\u0648\u06a9\u0627\u0631 <em>math.dist()<\/em><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u067e\u0627\u06cc\u062a\u0648\u0646 \u0631\u0648\u0634 \u062f\u0627\u062e\u0644\u06cc \u062e\u0648\u062f \u0631\u0627 \u062f\u0627\u0631\u062f\u060c \u062f\u0631 <code>math<\/code> \u0645\u0627\u0698\u0648\u0644\u060c \u06a9\u0647 \u0641\u0627\u0635\u0644\u0647 \u0628\u06cc\u0646 2 \u0646\u0642\u0637\u0647 \u0631\u0627 \u062f\u0631 \u0641\u0636\u0627\u06cc 3 \u0628\u0639\u062f\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u06a9\u0646\u062f.  \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u0627\u06cc\u0646 \u0641\u0642\u0637 \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646 3.8 \u06cc\u0627 \u0628\u0627\u0644\u0627\u062a\u0631 \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<p><code>math.dist()<\/code>  \u062f\u0648 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u06a9\u0647 \u062f\u0648 \u0646\u0642\u0637\u0647 \u0647\u0633\u062a\u0646\u062f \u0631\u0627 \u0645\u06cc \u06af\u06cc\u0631\u062f \u0648 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0628\u06cc\u0646 \u0622\u0646 \u0646\u0642\u0627\u0637 \u0631\u0627 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f.<\/p>\n<div class=\"alert alert-note\">\n<div class=\"flex\">\n<div class=\"flex-shrink-0 mr-3\"><\/div>\n<div class=\"w-full\">\n<p><strong>\u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f<\/strong>: \u0644\u0637\u0641\u0627 \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f \u06a9\u0647 \u062f\u0648 \u0646\u0642\u0637\u0647 \u0628\u0627\u06cc\u062f \u0627\u0628\u0639\u0627\u062f \u06cc\u06a9\u0633\u0627\u0646\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f (\u06cc\u0639\u0646\u06cc \u0647\u0631 \u062f\u0648 \u062f\u0631 \u0641\u0636\u0627\u06cc 2d \u06cc\u0627 3d).<\/p>\n<\/p><\/div><\/div><\/div>\n<p>\u0627\u06a9\u0646\u0648\u0646\u060c \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0628\u06cc\u0646 \u0627\u06cc\u0646 \u062f\u0648 \u0646\u0642\u0637\u0647\u060c \u0641\u0642\u0637 \u0622\u0646\u0647\u0627 \u0631\u0627 \u062f\u0631 \u0622\u0646 \u0645\u06cc \u0627\u0646\u062f\u0627\u0632\u06cc\u0645 <code>dist()<\/code> \u0631\u0648\u0634:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">import<\/span> math\ndistance = math.dist(point_1, point_2)\n<span class=\"hljs-built_in\">print<\/span>(distance)\n<\/code><\/pre>\n<pre><code class=\"hljs\"><span class=\"hljs-number\">5.196152422706632<\/span>\n<\/code><\/pre>\n<h2 id=\"conclusion\"><span class=\"ez-toc-section\" id=\"%d9%86%d8%aa%db%8c%d8%ac%d9%87\"><\/span>\u0646\u062a\u06cc\u062c\u0647<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><em>\u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc<\/em> \u06cc\u06a9 \u0645\u062a\u0631\u06cc\u06a9 \u0627\u0633\u0627\u0633\u06cc \u0641\u0627\u0635\u0644\u0647 \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u062f\u0627\u062e\u0644 \u0627\u0633\u062a <em>\u0641\u0636\u0627\u06cc \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc<\/em>.<\/p>\n<blockquote>\n<p>\u0641\u0636\u0627\u06cc \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0627\u0633\u062a <em>\u0641\u0636\u0627\u06cc \u0647\u0646\u062f\u0633\u06cc \u06a9\u0644\u0627\u0633\u06cc\u06a9<\/em> \u06a9\u0647 \u062f\u0631 \u06a9\u0644\u0627\u0633 \u0631\u06cc\u0627\u0636\u06cc \u0628\u0627 \u0622\u0646 \u0622\u0634\u0646\u0627 \u0645\u06cc \u0634\u0648\u06cc\u062f\u060c \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0647 3 \u0628\u0639\u062f \u0645\u062d\u062f\u0648\u062f \u0645\u06cc \u0634\u0648\u062f.  \u0627\u06af\u0631\u0686\u0647\u060c \u0645\u06cc \u062a\u0648\u0627\u0646 \u0622\u0646 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0647\u0631 \u0628\u0639\u062f \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u063a\u06cc\u0631 \u0645\u0646\u0641\u06cc \u0646\u06cc\u0632 \u062a\u062c\u0648\u06cc\u0632 \u06a9\u0631\u062f.<\/p>\n<\/blockquote>\n<blockquote>\n<p>\u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u06a9\u0648\u062a\u0627\u0647\u062a\u0631\u06cc\u0646 \u062e\u0637 \u0628\u06cc\u0646 \u062f\u0648 \u0646\u0642\u0637\u0647 \u062f\u0631 \u0641\u0636\u0627\u06cc \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0627\u0633\u062a.<\/p>\n<\/blockquote>\n<p>\u0627\u06cc\u0646 \u0645\u0639\u06cc\u0627\u0631 \u062f\u0631 \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0632\u0645\u06cc\u0646\u0647 \u0647\u0627 \u062f\u0631 \u062f\u0627\u062f\u0647 \u06a9\u0627\u0648\u06cc\u060c \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646 \u0648 \u0686\u0646\u062f\u06cc\u0646 \u0632\u0645\u06cc\u0646\u0647 \u062f\u06cc\u06af\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f \u0648 \u06cc\u06a9\u06cc \u0627\u0632 \u0645\u0639\u06cc\u0627\u0631\u0647\u0627\u06cc \u0627\u0633\u0627\u0633\u06cc \u0641\u0627\u0635\u0644\u0647 \u0627\u0633\u062a.<\/p>\n<\/div>\n<p><script>\n                        !function(f,b,e,v,n,t,s)\n                        {if(f.fbq)return;n=f.fbq=function(){n.callMethod?\n                        n.callMethod.apply(n,arguments):n.queue.push(arguments)};\n                        if(!f._fbq)f._fbq=n;n.push=n;n.loaded=!0;n.version='2.0';\n                        n.queue=();t=b.createElement(e);t.async=!0;\n                        t.src=v;s=b.getElementsByTagName(e)(0);\n                        s.parentNode.insertBefore(t,s)}(window, document,'script',\n                        'https:\/\/connect.facebook.net\/en_US\/fbevents.js');\n                        fbq('init', '525232124909042');\n                        fbq('track', 'PageView');\n                    <\/script>    (\u0628\u0631\u0686\u0633\u0628\u200c\u0647\u0627 \u0628\u0647 \u062a\u0631\u062c\u0645\u0647)# python<br \/>\n<br \/><br \/>\n<br \/>\u0645\u0646\u062a\u0634\u0631 \u0634\u062f\u0647 \u062f\u0631 1403-01-08 16:13:04<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;15097&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;\u0645\u062d\u0627\u0633\u0628\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0628\u0627 NumPy&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\"> 5<\/span> <span class=\"rt-label rt-postfix\">\u062f\u0642\u06cc\u0642\u0647<\/span><\/span>\u062f\u0631 \u0627\u06cc\u0646 \u0631\u0627\u0647\u0646\u0645\u0627 &#8211; \u0645\u0627 \u0646\u06af\u0627\u0647\u06cc \u0628\u0647 \u0631\u0648\u0634 \u0645\u062d\u0627\u0633\u0628\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0628\u06cc\u0646 \u062f\u0648 \u0646\u0642\u0637\u0647 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 Numpy. \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0686\u06cc\u0633\u062a\u061f \u0641\u0627\u0635\u0644\u0647 \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u06cc\u06a9 \u0645\u062a\u0631\u06cc\u06a9 \u0627\u0633\u0627\u0633\u06cc \u0641\u0627\u0635\u0644\u0647 \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u062f\u0627\u062e\u0644 \u0627\u0633\u062a \u0641\u0636\u0627\u06cc \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc. \u0641\u0636\u0627\u06cc \u0627\u0642\u0644\u06cc\u062f\u0633\u06cc \u0627\u0633\u062a \u0641\u0636\u0627\u06cc \u0647\u0646\u062f\u0633\u06cc \u06a9\u0644\u0627\u0633\u06cc\u06a9 \u06a9\u0647 \u062f\u0631 \u06a9\u0644\u0627\u0633 \u0631\u06cc\u0627\u0636\u06cc \u0628\u0627 \u0622\u0646 \u0622\u0634\u0646\u0627 \u0645\u06cc \u0634\u0648\u06cc\u062f\u060c \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u0628\u0647 3 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