{"id":16571,"date":"2024-01-27T04:42:27","date_gmt":"2024-01-27T01:12:27","guid":{"rendered":"https:\/\/rasanegar.com\/blog\/%d8%a2%d9%85%d9%88%d8%b2%d8%b4-numpy-%db%8c%da%a9-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%d8%b3%d8%a7%d8%af%d9%87-%d9%85%d8%a8%d8%aa%d9%86%db%8c-%d8%a8%d8%b1-%d9%85%d8%ab%d8%a7%d9%84\/"},"modified":"2024-01-27T04:42:27","modified_gmt":"2024-01-27T01:12:27","slug":"%d8%a2%d9%85%d9%88%d8%b2%d8%b4-numpy-%db%8c%da%a9-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%d8%b3%d8%a7%d8%af%d9%87-%d9%85%d8%a8%d8%aa%d9%86%db%8c-%d8%a8%d8%b1-%d9%85%d8%ab%d8%a7%d9%84","status":"publish","type":"post","link":"https:\/\/rasanegaar.com\/blog\/%d8%a2%d9%85%d9%88%d8%b2%d8%b4-numpy-%db%8c%da%a9-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%d8%b3%d8%a7%d8%af%d9%87-%d9%85%d8%a8%d8%aa%d9%86%db%8c-%d8%a8%d8%b1-%d9%85%d8%ab%d8%a7%d9%84\/","title":{"rendered":"\u0622\u0645\u0648\u0632\u0634 NumPy: \u06cc\u06a9 \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u0633\u0627\u062f\u0647 \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u0645\u062b\u0627\u0644"},"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\/%d8%a2%d9%85%d9%88%d8%b2%d8%b4-numpy-%db%8c%da%a9-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%d8%b3%d8%a7%d8%af%d9%87-%d9%85%d8%a8%d8%aa%d9%86%db%8c-%d8%a8%d8%b1-%d9%85%d8%ab%d8%a7%d9%84\/#%d9%85%d8%b9%d8%b1%d9%81%db%8c\" >\u0645\u0639\u0631\u0641\u06cc<\/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%a2%d9%85%d9%88%d8%b2%d8%b4-numpy-%db%8c%da%a9-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%d8%b3%d8%a7%d8%af%d9%87-%d9%85%d8%a8%d8%aa%d9%86%db%8c-%d8%a8%d8%b1-%d9%85%d8%ab%d8%a7%d9%84\/#%d9%85%d8%b2%d8%a7%db%8c%d8%a7%db%8c_numpy\" >\u0645\u0632\u0627\u06cc\u0627\u06cc NumPy<\/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%a2%d9%85%d9%88%d8%b2%d8%b4-numpy-%db%8c%da%a9-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%d8%b3%d8%a7%d8%af%d9%87-%d9%85%d8%a8%d8%aa%d9%86%db%8c-%d8%a8%d8%b1-%d9%85%d8%ab%d8%a7%d9%84\/#%d8%b9%d9%85%d9%84%db%8c%d8%a7%d8%aa_numpy\" >\u0639\u0645\u0644\u06cc\u0627\u062a NumPy<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a2%d9%85%d9%88%d8%b2%d8%b4-numpy-%db%8c%da%a9-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%d8%b3%d8%a7%d8%af%d9%87-%d9%85%d8%a8%d8%aa%d9%86%db%8c-%d8%a8%d8%b1-%d9%85%d8%ab%d8%a7%d9%84\/#%d8%a7%db%8c%d8%ac%d8%a7%d8%af_%db%8c%da%a9_%d8%a2%d8%b1%d8%a7%db%8c%d9%87_numpy\" >\u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 NumPy<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a2%d9%85%d9%88%d8%b2%d8%b4-numpy-%db%8c%da%a9-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%d8%b3%d8%a7%d8%af%d9%87-%d9%85%d8%a8%d8%aa%d9%86%db%8c-%d8%a8%d8%b1-%d9%85%d8%ab%d8%a7%d9%84\/#%d8%aa%d8%ba%db%8c%db%8c%d8%b1_%d8%b4%da%a9%d9%84_%d8%a2%d8%b1%d8%a7%db%8c%d9%87_numpy\" >\u062a\u063a\u06cc\u06cc\u0631 \u0634\u06a9\u0644 \u0622\u0631\u0627\u06cc\u0647 NumPy<\/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%a2%d9%85%d9%88%d8%b2%d8%b4-numpy-%db%8c%da%a9-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%d8%b3%d8%a7%d8%af%d9%87-%d9%85%d8%a8%d8%aa%d9%86%db%8c-%d8%a8%d8%b1-%d9%85%d8%ab%d8%a7%d9%84\/#%db%8c%d8%a7%d9%81%d8%aa%d9%86_%d9%85%d9%82%d8%a7%d8%af%db%8c%d8%b1_%d8%ad%d8%af%d8%a7%da%a9%d8%ab%d8%b1%d8%ad%d8%af%d8%a7%d9%82%d9%84\" >\u06cc\u0627\u0641\u062a\u0646 \u0645\u0642\u0627\u062f\u06cc\u0631 \u062d\u062f\u0627\u06a9\u062b\u0631\/\u062d\u062f\u0627\u0642\u0644<\/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%a2%d9%85%d9%88%d8%b2%d8%b4-numpy-%db%8c%da%a9-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%d8%b3%d8%a7%d8%af%d9%87-%d9%85%d8%a8%d8%aa%d9%86%db%8c-%d8%a8%d8%b1-%d9%85%d8%ab%d8%a7%d9%84\/#%d9%86%d9%85%d8%a7%db%8c%d9%87_%d8%b3%d8%a7%d8%b2%db%8c_%d8%a2%d8%b1%d8%a7%db%8c%d9%87_%d8%af%d8%b1_numpy\" >\u0646\u0645\u0627\u06cc\u0647 \u0633\u0627\u0632\u06cc \u0622\u0631\u0627\u06cc\u0647 \u062f\u0631 NumPy<\/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%a2%d9%85%d9%88%d8%b2%d8%b4-numpy-%db%8c%da%a9-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%d8%b3%d8%a7%d8%af%d9%87-%d9%85%d8%a8%d8%aa%d9%86%db%8c-%d8%a8%d8%b1-%d9%85%d8%ab%d8%a7%d9%84\/#%d8%b9%d9%85%d9%84%db%8c%d8%a7%d8%aa_%d8%ad%d8%b3%d8%a7%d8%a8%db%8c_%d8%a8%d8%a7_%d8%a2%d8%b1%d8%a7%db%8c%d9%87_%d9%87%d8%a7%db%8c_numpy\" >\u0639\u0645\u0644\u06cc\u0627\u062a \u062d\u0633\u0627\u0628\u06cc \u0628\u0627 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc NumPy<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a2%d9%85%d9%88%d8%b2%d8%b4-numpy-%db%8c%da%a9-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%d8%b3%d8%a7%d8%af%d9%87-%d9%85%d8%a8%d8%aa%d9%86%db%8c-%d8%a8%d8%b1-%d9%85%d8%ab%d8%a7%d9%84\/#%d8%b9%d9%85%d9%84%db%8c%d8%a7%d8%aa_%d8%ac%d8%a8%d8%b1_%d8%ae%d8%b7%db%8c_%d8%a8%d8%a7_%d8%a2%d8%b1%d8%a7%db%8c%d9%87_%d9%87%d8%a7%db%8c_numpy\" >\u0639\u0645\u0644\u06cc\u0627\u062a \u062c\u0628\u0631 \u062e\u0637\u06cc \u0628\u0627 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc NumPy<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/rasanegaar.com\/blog\/%d8%a2%d9%85%d9%88%d8%b2%d8%b4-numpy-%db%8c%da%a9-%d8%b1%d8%a7%d9%87%d9%86%d9%85%d8%a7%db%8c-%d8%b3%d8%a7%d8%af%d9%87-%d9%85%d8%a8%d8%aa%d9%86%db%8c-%d8%a8%d8%b1-%d9%85%d8%ab%d8%a7%d9%84\/#%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\"> 14<\/span> <span class=\"rt-label rt-postfix\">\u062f\u0642\u06cc\u0642\u0647<\/span><\/span><p> <br \/>\n<\/p>\n<div><noscript><\/noscript><\/p>\n<h2 id=\"introduction\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%b9%d8%b1%d9%81%db%8c\"><\/span>\u0645\u0639\u0631\u0641\u06cc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0631\u0627 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"http:\/\/www.numpy.org\/\">NumPy<\/a> library \u06cc\u06a9 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 \u0645\u062d\u0628\u0648\u0628 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0647\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0639\u0644\u0645\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u0648 \u0645\u062e\u0641\u0641 \u0639\u0628\u0627\u0631\u062a Numerical Python \u0627\u0633\u062a.<\/p>\n<p>\u0639\u0645\u0644\u06cc\u0627\u062a NumPy \u0628\u0647 \u0633\u0647 \u062f\u0633\u062a\u0647 \u0627\u0635\u0644\u06cc \u062a\u0642\u0633\u06cc\u0645 \u0645\u06cc \u0634\u0648\u062f: <strong><em>\u062a\u0628\u062f\u06cc\u0644 \u0641\u0648\u0631\u06cc\u0647 \u0648 \u062f\u0633\u062a\u06a9\u0627\u0631\u06cc \u0634\u06a9\u0644<\/em><\/strong>\u060c <strong><em>\u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0648 \u0645\u0646\u0637\u0642\u06cc<\/em><\/strong>\u060c \u0648 <strong><em>\u062c\u0628\u0631 \u062e\u0637\u06cc \u0648 \u062a\u0648\u0644\u06cc\u062f \u0627\u0639\u062f\u0627\u062f \u062a\u0635\u0627\u062f\u0641\u06cc<\/em><\/strong>.  \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u0622\u0646 \u0631\u0627 \u0647\u0631 \u0686\u0647 \u0633\u0631\u06cc\u0639\u062a\u0631 \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u062f\u060c NumPy \u062f\u0631 C \u0648 Python \u0646\u0648\u0634\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0645\u0639\u0631\u0641\u06cc \u0645\u062e\u062a\u0635\u0631\u06cc \u0627\u0632 \u067e\u0634\u062a\u0647 NumPy \u0645\u06cc \u067e\u0631\u062f\u0627\u0632\u06cc\u0645 \u0648 \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u06cc\u062f \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0627\u0632 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u0628\u0631\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u0627\u0646\u0648\u0627\u0639 \u0648\u0638\u0627\u06cc\u0641 \u0631\u06cc\u0627\u0636\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f.<\/p>\n<h2 id=\"advantagesofnumpy\"><span class=\"ez-toc-section\" id=\"%d9%85%d8%b2%d8%a7%db%8c%d8%a7%db%8c_numpy\"><\/span>\u0645\u0632\u0627\u06cc\u0627\u06cc NumPy<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NumPy \u0646\u0633\u0628\u062a \u0628\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062a\u0648\u0627\u0628\u0639 \u0631\u06cc\u0627\u0636\u06cc \u0647\u0633\u062a\u0647 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0686\u0646\u062f\u06cc\u0646 \u0645\u0632\u06cc\u062a \u062f\u0627\u0631\u062f \u06a9\u0647 \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0628\u0647 \u0686\u0646\u062f \u0645\u0648\u0631\u062f \u0627\u0634\u0627\u0631\u0647 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n<ol>\n<li>NumPy \u062f\u0631 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0627\u0635\u0644\u06cc \u0628\u0647 \u062f\u0644\u06cc\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0632\u06cc\u0627\u062f \u0627\u0632 \u067e\u0633\u0648\u0646\u062f\u0647\u0627\u06cc C \u0628\u0633\u06cc\u0627\u0631 \u0633\u0631\u06cc\u0639 \u0627\u0633\u062a.<\/li>\n<li>\u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 \u0647\u0627\u06cc \u067e\u06cc\u0634\u0631\u0641\u062a\u0647 \u067e\u0627\u06cc\u062a\u0648\u0646\u060c \u0645\u0627\u0646\u0646\u062f Scikit-Learn\u060c Scipy \u0648 Keras\u060c \u0627\u0632 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06af\u0633\u062a\u0631\u062f\u0647 \u0627\u06cc \u0645\u06cc \u06a9\u0646\u0646\u062f.  \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646\u060c \u0627\u06af\u0631 \u0642\u0635\u062f \u062f\u0627\u0631\u06cc\u062f \u0634\u063a\u0644\u06cc \u0631\u0627 \u062f\u0631 \u0639\u0644\u0645 \u062f\u0627\u062f\u0647 \u06cc\u0627 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646 \u062f\u0646\u0628\u0627\u0644 \u06a9\u0646\u06cc\u062f\u060c NumPy \u0627\u0628\u0632\u0627\u0631 \u0628\u0633\u06cc\u0627\u0631 \u062e\u0648\u0628\u06cc \u0628\u0631\u0627\u06cc \u062a\u0633\u0644\u0637 \u0627\u0633\u062a.<\/li>\n<li>NumPy \u0628\u0627 \u0627\u0646\u0648\u0627\u0639 \u0639\u0645\u0644\u06a9\u0631\u062f\u0647\u0627\u06cc \u062f\u0627\u062e\u0644\u06cc \u0647\u0645\u0631\u0627\u0647 \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0647\u0633\u062a\u0647 \u06a9\u0645\u06cc \u06a9\u062f \u0633\u0641\u0627\u0631\u0634\u06cc \u0631\u0627 \u0628\u0647 \u062e\u0648\u062f \u0627\u062e\u062a\u0635\u0627\u0635 \u0645\u06cc \u062f\u0647\u062f.<\/li>\n<\/ol>\n<p>\u062f\u0631 \u0645\u0648\u0631\u062f \u0622\u062e\u0631\u06cc\u0646 \u0646\u06a9\u062a\u0647\u060c \u0628\u0647 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">x = (<span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">6<\/span>)\ny = (a + <span class=\"hljs-number\">2<\/span> <span class=\"hljs-keyword\">for<\/span> a <span class=\"hljs-keyword\">in<\/span> x)\n<\/code><\/pre>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627\u060c \u0628\u0647 \u0645\u0646\u0638\u0648\u0631 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0631\u062f\u0646 2 \u0628\u0647 \u0647\u0631 \u0639\u0646\u0635\u0631 \u062f\u0631 \u0644\u06cc\u0633\u062a <code>x<\/code>\u060c \u0628\u0627\u06cc\u062f \u06a9\u0644 \u0644\u06cc\u0633\u062a \u0631\u0627 \u0637\u06cc \u06a9\u0646\u06cc\u0645 \u0648 \u0628\u0647 \u0647\u0631 \u0639\u0646\u0635\u0631 \u0628\u0647 \u0635\u0648\u0631\u062a \u062c\u062f\u0627\u06af\u0627\u0646\u0647 2 \u0639\u062f\u062f \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u0645.  \u062d\u0627\u0644\u0627 \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0628\u0628\u06cc\u0646\u06cc\u0645 \u0686\u06af\u0648\u0646\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0647\u0645\u0627\u0646 \u06a9\u0627\u0631 \u0631\u0627 \u0628\u0627 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">import<\/span> numpy <span class=\"hljs-keyword\">as<\/span> np\nnums = np.array((<span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">6<\/span>))\nnums2 = nums + <span class=\"hljs-number\">2<\/span>\n<\/code><\/pre>\n<p>\u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0628\u0628\u06cc\u0646\u06cc\u062f \u06a9\u0647 \u0686\u0642\u062f\u0631 \u0622\u0633\u0627\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0647 \u0647\u0631 \u0639\u0646\u0635\u0631 \u062f\u0631 \u0644\u06cc\u0633\u062a \u0627\u0632 \u0637\u0631\u06cc\u0642 NumPy \u06cc\u06a9 \u0645\u0642\u062f\u0627\u0631 \u0627\u0633\u06a9\u0627\u0644\u0631 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f.  \u0627\u06cc\u0646 \u0646\u0647 \u062a\u0646\u0647\u0627 \u0642\u0627\u0628\u0644 \u062e\u0648\u0627\u0646\u062f\u0646 \u0627\u0633\u062a\u060c \u0628\u0644\u06a9\u0647 \u062f\u0631 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u06a9\u062f \u0642\u0628\u0644\u06cc \u0633\u0631\u06cc\u0639\u062a\u0631 \u0627\u0633\u062a.<\/p>\n<p>\u0627\u06cc\u0646 \u0641\u0642\u0637 \u0646\u0648\u06a9 \u06a9\u0648\u0647 \u06cc\u062e \u0627\u0633\u062a\u060c \u062f\u0631 \u062d\u0642\u06cc\u0642\u062a\u060c \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u0642\u0627\u062f\u0631 \u0627\u0633\u062a \u0639\u0645\u0644\u06cc\u0627\u062a \u0628\u0633\u06cc\u0627\u0631 \u067e\u06cc\u0686\u06cc\u062f\u0647 \u062a\u0631\u06cc \u0631\u0627 \u062f\u0631 \u06cc\u06a9 \u0686\u0634\u0645 \u0628\u0647 \u0647\u0645 \u0632\u062f\u0646 \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u062f.  \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0628\u0631\u062e\u06cc \u0627\u0632 \u0627\u06cc\u0646 \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u0645.<\/p>\n<h2 id=\"numpyoperations\"><span class=\"ez-toc-section\" id=\"%d8%b9%d9%85%d9%84%db%8c%d8%a7%d8%aa_numpy\"><\/span>\u0639\u0645\u0644\u06cc\u0627\u062a NumPy<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0642\u0628\u0644 \u0627\u0632 \u0627\u06cc\u0646\u06a9\u0647 \u0628\u062a\u0648\u0627\u0646\u06cc\u0645 \u0639\u0645\u0644\u06cc\u0627\u062a NumPy \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u0645\u060c \u0628\u0627\u06cc\u062f \u0628\u0633\u062a\u0647 NumPy \u0631\u0627 \u0646\u0635\u0628 \u06a9\u0646\u06cc\u0645.  \u0628\u0631\u0627\u06cc \u0646\u0635\u0628 \u0628\u0633\u062a\u0647 NumPy \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 pip \u0646\u0635\u0627\u0628.  \u0628\u0631\u0627\u06cc \u0646\u0635\u0628 \u062f\u0633\u062a\u0648\u0631 \u0632\u06cc\u0631 \u0631\u0627 \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">$ pip install numpy\n<\/code><\/pre>\n<p>\u062f\u0631 \u063a\u06cc\u0631 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a\u060c \u0627\u06af\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0631\u0627 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u062a\u0648\u0632\u06cc\u0639 Anaconda \u0627\u062c\u0631\u0627 \u0645\u06cc \u06a9\u0646\u06cc\u062f\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u062f\u0633\u062a\u0648\u0631 \u0632\u06cc\u0631 \u0631\u0627 \u0628\u0647 \u062c\u0627\u06cc \u0622\u0646 \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">$ conda install numpy\n<\/code><\/pre>\n<p>\u0627\u06a9\u0646\u0648\u0646 \u06a9\u0647 NumPy \u0646\u0635\u0628 \u0634\u062f\u0647 \u0627\u0633\u062a\u060c \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0628\u0631\u062e\u06cc \u0627\u0632 \u0631\u0627\u06cc\u062c \u062a\u0631\u06cc\u0646 \u0639\u0645\u0644\u06cc\u0627\u062a \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 \u0631\u0627 \u0628\u0628\u06cc\u0646\u06cc\u0645.<\/p>\n<h3 id=\"creatinganumpyarray\"><span class=\"ez-toc-section\" id=\"%d8%a7%db%8c%d8%ac%d8%a7%d8%af_%db%8c%da%a9_%d8%a2%d8%b1%d8%a7%db%8c%d9%87_numpy\"><\/span>\u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 NumPy<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc NumPy \u0628\u0644\u0648\u06a9 \u0647\u0627\u06cc \u0633\u0627\u0632\u0646\u062f\u0647 \u0627\u06a9\u062b\u0631 \u0639\u0645\u0644\u06cc\u0627\u062a NumPy \u0647\u0633\u062a\u0646\u062f.  \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc NumPy \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u062f\u0648 \u0646\u0648\u0639 \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0631\u062f: \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u06cc\u06a9 \u0628\u0639\u062f\u06cc \u0648 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u062f\u0648 \u0628\u0639\u062f\u06cc.<\/p>\n<p>\u0631\u0627\u0647 \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u0622\u0631\u0627\u06cc\u0647 NumPy \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.  \u062f\u0631 \u0627\u06cc\u0646 \u0628\u062e\u0634 \u0628\u0647 \u0686\u0646\u062f \u0645\u0648\u0631\u062f \u0627\u0632 \u0622\u0646\u0647\u0627 \u0645\u06cc \u067e\u0631\u062f\u0627\u0632\u06cc\u0645.<\/p>\n<h4 id=\"thearraymethod\">\u0631\u0627 <code>array<\/code> \u0631\u0648\u0634<\/h4>\n<p>\u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 NumPy \u06cc\u06a9 \u0628\u0639\u062f\u06cc\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u06cc\u06a9 \u0644\u06cc\u0633\u062a \u067e\u0627\u06cc\u062a\u0648\u0646 \u0631\u0627 \u0628\u0647 \u0622\u0646 \u0627\u0631\u0633\u0627\u0644 \u06a9\u0646\u06cc\u0645 <code>array<\/code> \u0631\u0648\u0634.  \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-keyword\">import<\/span> numpy <span class=\"hljs-keyword\">as<\/span> np\nx = (<span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">6<\/span>)\nnums = np.array((<span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">6<\/span>))\n<span class=\"hljs-built_in\">type<\/span>(nums)\n<\/code><\/pre>\n<p>\u062f\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u0627\u0628\u062a\u062f\u0627 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0648\u0627\u0631\u062f \u06a9\u0631\u062f\u06cc\u0645 <code>np<\/code>\u060c \u0648 \u06cc\u06a9 \u0644\u06cc\u0633\u062a \u0627\u06cc\u062c\u0627\u062f \u06a9\u0631\u062f <code>x<\/code>.  \u0633\u067e\u0633 \u0627\u06cc\u0646 \u0644\u06cc\u0633\u062a \u0631\u0627 \u0628\u0647 <code>array<\/code> \u0639\u0645\u0644\u06a9\u0631\u062f \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy  \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0646\u0648\u0639 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u0686\u0627\u067e \u06a9\u0631\u062f\u06cc\u0645 \u06a9\u0647 \u062e\u0631\u0648\u062c\u06cc \u0632\u06cc\u0631 \u062d\u0627\u0635\u0644 \u0634\u062f:<\/p>\n<pre><code class=\"hljs\">numpy.ndarray\n<\/code><\/pre>\n<p>\u0627\u06af\u0631 \u0642\u0631\u0627\u0631 \u0628\u0648\u062f print \u0631\u0627 <code>nums<\/code> \u0622\u0631\u0627\u06cc\u0647 \u0631\u0648\u06cc \u0635\u0641\u062d\u0647 \u0646\u0645\u0627\u06cc\u0634\u060c \u0634\u0645\u0627 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0646\u0645\u0627\u06cc\u0634 \u062f\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n<pre><code class=\"hljs\">array((2, 3, 4, 5, 6))\n<\/code><\/pre>\n<p>\u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u062f\u0648 \u0628\u0639\u062f\u06cc\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0644\u06cc\u0633\u062a\u06cc \u0627\u0632 \u0644\u06cc\u0633\u062a \u0647\u0627 \u0631\u0627 \u0628\u0647 \u0622\u0646 \u0627\u0631\u0633\u0627\u0644 \u06a9\u0646\u06cc\u062f <code>array<\/code> \u0631\u0648\u0634\u06cc \u06a9\u0647 \u062f\u0631 \u0632\u06cc\u0631 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">nums = np.array(((<span class=\"hljs-number\">2<\/span>,<span class=\"hljs-number\">4<\/span>,<span class=\"hljs-number\">6<\/span>), (<span class=\"hljs-number\">8<\/span>,<span class=\"hljs-number\">10<\/span>,<span class=\"hljs-number\">12<\/span>), (<span class=\"hljs-number\">14<\/span>,<span class=\"hljs-number\">16<\/span>,<span class=\"hljs-number\">18<\/span>)))\n<\/code><\/pre>\n<p>\u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u0645\u0646\u062c\u0631 \u0628\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633\u06cc \u0645\u06cc \u0634\u0648\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0647\u0631 \u0644\u06cc\u0633\u062a \u062f\u0627\u062e\u0644\u06cc \u062f\u0631 \u0644\u06cc\u0633\u062a \u0628\u06cc\u0631\u0648\u0646\u06cc \u0628\u0647 \u06cc\u06a9 \u0631\u062f\u06cc\u0641 \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc \u0634\u0648\u062f.  \u062a\u0639\u062f\u0627\u062f \u0633\u062a\u0648\u0646 \u0647\u0627 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627 \u062a\u0639\u062f\u0627\u062f \u0639\u0646\u0627\u0635\u0631 \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0647\u0631 \u0644\u06cc\u0633\u062a \u062f\u0627\u062e\u0644\u06cc.  \u0645\u0627\u062a\u0631\u06cc\u0633 \u062e\u0631\u0648\u062c\u06cc \u0628\u0647 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f:<\/p>\n<pre><code class=\"hljs\">array((( 2,  4,  6),\n       ( 8, 10, 12),\n       (14, 16, 18)))\n<\/code><\/pre>\n<h4 id=\"thearangemethod\">\u0631\u0627 <code>arange<\/code> \u0631\u0648\u0634<\/h4>\n<p>\u06cc\u06a9\u06cc \u062f\u06cc\u06af\u0631 \u0627\u0632 \u0631\u0648\u0634 \u0647\u0627\u06cc \u0631\u0627\u06cc\u062c \u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u0622\u0631\u0627\u06cc\u0647 NumPy\u060c \u0631\u0648\u0634 \u0627\u0633\u062a <code>arange<\/code> \u0631\u0648\u0634.  \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0634\u0627\u062e\u0635 \u0634\u0631\u0648\u0639 \u0622\u0631\u0627\u06cc\u0647\u060c \u0634\u0627\u062e\u0635 \u067e\u0627\u06cc\u0627\u0646 \u0648 \u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u0627\u0645 (\u06a9\u0647 \u0627\u062e\u062a\u06cc\u0627\u0631\u06cc \u0627\u0633\u062a) \u0631\u0627 \u0645\u06cc \u06af\u06cc\u0631\u062f.  \u0628\u0647 \u0645\u062b\u0627\u0644 \u0632\u06cc\u0631 \u062f\u0642\u062a \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">nums = np.arange(<span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">7<\/span>)\n<\/code><\/pre>\n<p>\u0628\u0647 \u0627\u0646\u062f\u0627\u0632\u0647 \u06a9\u0627\u0641\u06cc \u0633\u0627\u062f\u0647\u060c \u062f\u0631\u0633\u062a \u0627\u0633\u062a\u061f  \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 NumPy \u0628\u0627 \u0627\u0646\u062f\u0627\u0632\u0647 5 \u0631\u0627 \u0628\u0627 \u0639\u0646\u0627\u0635\u0631 2\u060c 3\u060c 4\u060c 5 \u0648 6 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f. \u0628\u0647 \u06cc\u0627\u062f \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f \u06a9\u0647 <code>arange<\/code> \u0645\u062a\u062f \u0622\u0631\u0627\u06cc\u0647 \u0627\u06cc \u0631\u0627 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f \u06a9\u0647 \u0628\u0627 \u0634\u0627\u062e\u0635 \u0634\u0631\u0648\u0639 \u0634\u0631\u0648\u0639 \u0645\u06cc \u0634\u0648\u062f \u0648 \u0628\u0647 \u06cc\u06a9 \u0627\u0646\u062f\u06cc\u0633 \u06a9\u0645\u062a\u0631 \u0627\u0632 \u0627\u0646\u062f\u06cc\u0633 \u067e\u0627\u06cc\u0627\u0646\u06cc \u062e\u062a\u0645 \u0645\u06cc \u0634\u0648\u062f.  \u062e\u0631\u0648\u062c\u06cc \u0627\u06cc\u0646 \u06a9\u062f \u0628\u0647 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">array((2, 3, 4, 5, 6))\n<\/code><\/pre>\n<p>\u062d\u0627\u0644\u0627 \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0627\u0646\u062f\u0627\u0632\u0647 \u0645\u0631\u062d\u0644\u0647 2 \u0631\u0627 \u0628\u0647 \u0622\u0631\u0627\u06cc\u0647 \u062e\u0648\u062f \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u0645 \u0648 \u0628\u0628\u06cc\u0646\u06cc\u0645 \u0686\u0647 \u0627\u062a\u0641\u0627\u0642\u06cc \u0645\u06cc \u0627\u0641\u062a\u062f:<\/p>\n<pre><code class=\"hljs\">nums = np.arange(<span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">7<\/span>, <span class=\"hljs-number\">2<\/span>)\n<\/code><\/pre>\n<p>\u0627\u06a9\u0646\u0648\u0646 \u062e\u0631\u0648\u062c\u06cc \u0628\u0647 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">array((2, 4, 6))\n<\/code><\/pre>\n<p>\u0645\u06cc \u0628\u06cc\u0646\u06cc\u062f \u06a9\u0647 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0632 2 \u0634\u0631\u0648\u0639 \u0645\u06cc \u0634\u0648\u062f \u0648 \u0633\u067e\u0633 \u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u0627\u0645 2 \u0645\u06cc \u0622\u06cc\u062f \u0648 \u0628\u0647 6 \u062e\u062a\u0645 \u0645\u06cc \u0634\u0648\u062f \u06a9\u0647 \u06cc\u06a9 \u06a9\u0645\u062a\u0631 \u0627\u0632 \u0627\u0646\u062f\u06cc\u0633 \u0627\u0646\u062a\u0647\u0627\u06cc\u06cc \u0627\u0633\u062a.<\/p>\n<h4 id=\"thezerosmethod\">\u0631\u0627 <code>zeros<\/code> \u0631\u0648\u0634<\/h4>\n<p>\u062c\u062f\u0627 \u0627\u0632 \u0627\u06cc\u062c\u0627\u062f \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0633\u0641\u0627\u0631\u0634\u06cc \u0628\u0627 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0627\u0632 \u067e\u06cc\u0634 \u067e\u0631 \u0634\u062f\u0647 \u062e\u0648\u062f\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc NumPy \u0631\u0627 \u0628\u0627 \u0645\u062c\u0645\u0648\u0639\u0647 \u0627\u06cc \u0633\u0627\u062f\u0647 \u062a\u0631 \u0627\u0632 \u062f\u0627\u062f\u0647 \u0647\u0627 \u0646\u06cc\u0632 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u062f.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0634\u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f <code>zeros<\/code> \u0631\u0648\u0634\u06cc \u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0632 \u062a\u0645\u0627\u0645 \u0635\u0641\u0631\u0647\u0627 \u0645\u0627\u0646\u0646\u062f \u0634\u06a9\u0644 \u0632\u06cc\u0631:<\/p>\n<pre><code class=\"hljs\">zeros = np.zeros(<span class=\"hljs-number\">5<\/span>)\n<\/code><\/pre>\n<p>\u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0641\u0648\u0642 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u06cc\u06a9 \u0628\u0639\u062f\u06cc 5 \u0635\u0641\u0631 \u0631\u0627 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f.  \u0686\u0627\u067e \u06a9\u0646\u06cc\u062f <code>zeros<\/code> \u0622\u0631\u0627\u06cc\u0647 \u0648 \u0628\u0627\u06cc\u062f \u0645\u0648\u0627\u0631\u062f \u0632\u06cc\u0631 \u0631\u0627 \u0628\u0628\u06cc\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">array((0., 0., 0., 0., 0.))\n<\/code><\/pre>\n<p>\u0628\u0647 \u0637\u0648\u0631 \u0645\u0634\u0627\u0628\u0647\u060c \u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u062f\u0648 \u0628\u0639\u062f\u06cc\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u062a\u0639\u062f\u0627\u062f \u0633\u0637\u0631\u0647\u0627 \u0648 \u0633\u062a\u0648\u0646 \u0647\u0627 \u0631\u0627 \u0628\u0647 <code>zeros<\/code> \u0631\u0648\u0634\u060c \u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u062f\u0631 \u0632\u06cc\u0631 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">zeros = np.zeros((<span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">4<\/span>))\n<\/code><\/pre>\n<p>\u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u062f\u0648 \u0628\u0639\u062f\u06cc \u0627\u0632 5 \u0633\u0637\u0631 \u0648 4 \u0633\u062a\u0648\u0646 \u0631\u0627 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f:<\/p>\n<pre><code class=\"hljs\">array(((0., 0., 0., 0.),\n       (0., 0., 0., 0.),\n       (0., 0., 0., 0.),\n       (0., 0., 0., 0.),\n       (0., 0., 0., 0.)))\n<\/code><\/pre>\n<h4 id=\"theonesmethod\">\u0631\u0627 <code>ones<\/code> \u0631\u0648\u0634<\/h4>\n<p>\u0628\u0647 \u0637\u0648\u0631 \u0645\u0634\u0627\u0628\u0647\u060c \u0634\u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u06cc\u06a9 \u0628\u0639\u062f\u06cc \u0648 \u062f\u0648 \u0628\u0639\u062f\u06cc \u0627\u0632 \u0647\u0645\u0647 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 <code>ones<\/code> \u0631\u0648\u0634 \u0628\u0647 \u0634\u0631\u062d \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">ones = np.ones(<span class=\"hljs-number\">5<\/span>)\n<\/code><\/pre>\n<pre><code class=\"hljs\">array((1., 1., 1., 1., 1.))\n<\/code><\/pre>\n<p>\u0648 \u062f\u0648\u0628\u0627\u0631\u0647\u060c \u0628\u0631\u0627\u06cc \u0622\u0631\u0627\u06cc\u0647 \u062f\u0648 \u0628\u0639\u062f\u06cc\u060c \u06a9\u062f \u0632\u06cc\u0631 \u0631\u0627 \u0627\u0645\u062a\u062d\u0627\u0646 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">ones = np.ones((<span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">4<\/span>))\n<\/code><\/pre>\n<p>\u062d\u0627\u0644\u0627 \u0627\u06af\u0631 \u0634\u0645\u0627 print \u0631\u0627 <code>ones<\/code> \u0622\u0631\u0627\u06cc\u0647 \u0631\u0648\u06cc \u0631\u0648\u06cc \u0635\u0641\u062d\u0647\u060c \u0628\u0627\u06cc\u062f \u0622\u0631\u0627\u06cc\u0647 \u062f\u0648 \u0628\u0639\u062f\u06cc \u0632\u06cc\u0631 \u0631\u0627 \u0628\u0628\u06cc\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">((1. 1. 1. 1.)\n (1. 1. 1. 1.)\n (1. 1. 1. 1.)\n (1. 1. 1. 1.)\n (1. 1. 1. 1.))\n<\/code><\/pre>\n<h4 id=\"thelinspacemethod\">\u0631\u0627 <code>linspace<\/code> \u0631\u0648\u0634<\/h4>\n<p>\u06cc\u06a9\u06cc \u062f\u06cc\u06af\u0631 \u0627\u0632 \u0631\u0648\u0634 \u0647\u0627\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0645\u0641\u06cc\u062f \u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc NumPy \u0627\u06cc\u0646 \u0627\u0633\u062a <code>linspace<\/code> \u0631\u0648\u0634.  \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0633\u0647 \u0622\u0631\u06af\u0648\u0645\u0627\u0646 \u0645\u06cc \u06af\u06cc\u0631\u062f: \u06cc\u06a9 \u0634\u0627\u062e\u0635 \u0634\u0631\u0648\u0639\u060c \u0634\u0627\u062e\u0635 \u067e\u0627\u06cc\u0627\u0646 \u0648 \u062a\u0639\u062f\u0627\u062f \u0627\u0639\u062f\u0627\u062f \u0628\u0627 \u0641\u0627\u0635\u0644\u0647 \u062e\u0637\u06cc \u06a9\u0647 \u0628\u06cc\u0646 \u0645\u062d\u062f\u0648\u062f\u0647 \u0645\u0634\u062e\u0635 \u0634\u062f\u0647 \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u062f.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0627\u06af\u0631 \u0627\u0648\u0644\u06cc\u0646 \u0634\u0627\u062e\u0635 1\u060c \u0622\u062e\u0631\u06cc\u0646 \u0634\u0627\u062e\u0635 10 \u0628\u0627\u0634\u062f \u0648 \u0628\u0647 10 \u0639\u0646\u0635\u0631 \u0628\u0627 \u0641\u0627\u0635\u0644\u0647 \u0645\u0633\u0627\u0648\u06cc \u062f\u0631 \u0627\u06cc\u0646 \u0645\u062d\u062f\u0648\u062f\u0647 \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u06cc\u062f\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 <code>linspace<\/code> \u0631\u0648\u0634 \u0628\u0647 \u0634\u0631\u062d \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">lin = np.linspace(<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">10<\/span>, <span class=\"hljs-number\">10<\/span>)\n<\/code><\/pre>\n<p>\u062e\u0631\u0648\u062c\u06cc \u0627\u0639\u062f\u0627\u062f \u0635\u062d\u06cc\u062d \u0627\u0632 1 \u062a\u0627 10 \u0631\u0627 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f:<\/p>\n<pre><code class=\"hljs\">array((1., 2., 3., 4., 5., 6., 7., 8., 9., 10.))\n<\/code><\/pre>\n<p>\u062d\u0627\u0644\u0627 \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0633\u0639\u06cc \u06a9\u0646\u06cc\u0645 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0628\u0627 20 \u0639\u0646\u0635\u0631 \u0628\u0627 \u0641\u0627\u0635\u0644\u0647 \u062e\u0637\u06cc \u0628\u06cc\u0646 1 \u062a\u0627 10 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u0645. \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u0631\u0627 \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">lin = np.linspace(<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">10<\/span>, <span class=\"hljs-number\">20<\/span>)\n<\/code><\/pre>\n<p>\u0627\u06cc\u0646 \u0645\u0646\u062c\u0631 \u0628\u0647 \u0622\u0631\u0627\u06cc\u0647 \u0632\u06cc\u0631 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n<pre><code class=\"hljs\">array(( 1.        ,  1.47368421,  1.94736842,  2.42105263,  2.89473684,\n        3.36842105,  3.84210526,  4.31578947,  4.78947368,  5.26315789,\n        5.73684211,  6.21052632,  6.68421053,  7.15789474,  7.63157895,\n        8.10526316,  8.57894737,  9.05263158,  9.52631579, 10.        ))\n<\/code><\/pre>\n<p>\u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f \u06a9\u0647 \u062e\u0631\u0648\u062c\u06cc \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0634\u0628\u06cc\u0647 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0627\u0634\u062f\u060c \u0627\u0645\u0627 \u062f\u0631 \u0648\u0627\u0642\u0639 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u06cc\u06a9 \u0628\u0639\u062f\u06cc \u0627\u0633\u062a.  \u0628\u0647 \u062f\u0644\u06cc\u0644 \u0645\u0634\u06a9\u0644 \u0641\u0627\u0635\u0644\u0647\u060c \u0639\u0646\u0627\u0635\u0631 \u062f\u0631 \u0686\u0646\u062f\u06cc\u0646 \u062e\u0637 \u0646\u0645\u0627\u06cc\u0634 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0646\u062f.<\/p>\n<h4 id=\"theeyemethod\">\u0631\u0627 <code>eye<\/code> \u0631\u0648\u0634<\/h4>\n<p>\u0631\u0627 <code>eye<\/code> \u0631\u0648\u0634 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Identity_matrix\">\u0645\u0627\u062a\u0631\u06cc\u0633 \u0647\u0648\u06cc\u062a<\/a>\u060c \u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0628\u0631\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u0627\u0646\u0648\u0627\u0639 \u0639\u0645\u0644\u06cc\u0627\u062a \u062f\u0631 \u062c\u0628\u0631 \u062e\u0637\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0645\u0641\u06cc\u062f \u0628\u0627\u0634\u062f.  \u0645\u0627\u062a\u0631\u06cc\u0633 \u0647\u0648\u06cc\u062a\u060c \u0645\u0627\u062a\u0631\u06cc\u0633\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0628\u06cc\u0646 \u0633\u0637\u0631\u0647\u0627 \u0648 \u0633\u062a\u0648\u0646\u200c\u0647\u0627 \u0628\u0647 \u062c\u0632 \u0642\u0637\u0631\u060c \u0635\u0641\u0631 \u062f\u0627\u0631\u062f.  \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u0648\u0631\u0628 \u0647\u0645\u0647 \u06cc\u06a9 \u0647\u0633\u062a\u0646\u062f.  \u0628\u06cc\u0627\u06cc\u06cc\u062f \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0647\u0648\u06cc\u062a 4&#215;4 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 <code>eye<\/code> \u0631\u0648\u0634:<\/p>\n<pre><code class=\"hljs\">idn = np.eye(<span class=\"hljs-number\">4<\/span>)\n<\/code><\/pre>\n<p>\u0645\u0627\u062a\u0631\u06cc\u0633 \u062d\u0627\u0635\u0644 \u0628\u0647 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">array(((1., 0., 0., 0.),\n       (0., 1., 0., 0.),\n       (0., 0., 1., 0.),\n       (0., 0., 0., 1.)))\n<\/code><\/pre>\n<h4 id=\"therandommethod\">\u0631\u0627 <code>random<\/code> \u0631\u0648\u0634<\/h4>\n<p>\u0627\u063a\u0644\u0628 \u0627\u0648\u0642\u0627\u062a \u0634\u0645\u0627 \u0646\u06cc\u0627\u0632 \u0628\u0647 \u0627\u06cc\u062c\u0627\u062f \u0622\u0631\u0627\u06cc\u0647 \u0628\u0627 \u0627\u0639\u062f\u0627\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u062f\u0627\u0631\u06cc\u062f.  \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f <code>rand<\/code> \u0639\u0645\u0644\u06a9\u0631\u062f NumPy <code>random<\/code> \u0645\u0627\u0698\u0648\u0644 \u0628\u0631\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u0627\u06cc\u0646 \u06a9\u0627\u0631  \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u06cc\u06a9 \u0645\u062b\u0627\u0644 \u0633\u0627\u062f\u0647 \u0627\u0632 <code>rand<\/code> \u062a\u0627\u0628\u0639:<\/p>\n<pre><code class=\"hljs\">random = np.random.rand(<span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">3<\/span>)\n<\/code><\/pre>\n<p>\u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0641\u0648\u0642 \u0645\u0627\u062a\u0631\u06cc\u0633\u06cc \u0627\u0632 2 \u0633\u0637\u0631 \u0648 3 \u0633\u062a\u0648\u0646 \u0631\u0627 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f.  \u0645\u0627\u062a\u0631\u06cc\u0633 \u0634\u0627\u0645\u0644 \u062a\u0648\u0632\u06cc\u0639 \u06cc\u06a9\u0646\u0648\u0627\u062e\u062a \u0627\u0639\u062f\u0627\u062f \u0628\u06cc\u0646 0 \u0648 1 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">array(((0.26818562, 0.65506793, 0.50035001),\n       (0.527117  , 0.445688  , 0.99661   )))\n<\/code><\/pre>\n<p>\u0628\u0647 \u0637\u0648\u0631 \u0645\u0634\u0627\u0628\u0647\u060c \u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0632 \u0627\u0639\u062f\u0627\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u0628\u0627 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Normal_distribution\">\u062a\u0648\u0632\u06cc\u0639 \u06af\u0627\u0648\u0633\u06cc<\/a> (\u06cc\u0627 \u062a\u0648\u0632\u06cc\u0639 &#8220;\u0639\u0627\u062f\u06cc&#8221;)\u060c \u062f\u0631 \u0639\u0648\u0636 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u0622\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f <code>randn<\/code> \u0631\u0648\u0634\u06cc \u06a9\u0647 \u062f\u0631 \u0632\u06cc\u0631 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">random = np.random.randn(<span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">3<\/span>)\n<\/code><\/pre>\n<p>\u062f\u0631 \u0646\u0647\u0627\u06cc\u062a\u060c \u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0632 \u0627\u0639\u062f\u0627\u062f \u0635\u062d\u06cc\u062d \u062a\u0635\u0627\u062f\u0641\u06cc\u060c <code>randint<\/code> \u0631\u0648\u0634 \u0628\u0631\u0627\u06cc \u0686\u0646\u06cc\u0646 \u0645\u0648\u0631\u062f\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.  \u0631\u0627 <code>randint<\/code> \u0645\u062a\u062f \u06a9\u0631\u0627\u0646 \u067e\u0627\u06cc\u06cc\u0646\u060c \u06a9\u0631\u0627\u0646 \u0628\u0627\u0644\u0627 \u0648 \u062a\u0639\u062f\u0627\u062f \u0627\u0639\u062f\u0627\u062f \u0635\u062d\u06cc\u062d \u0631\u0627 \u0645\u06cc \u06af\u06cc\u0631\u062f.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0627\u06af\u0631 \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u062f \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0632 5 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u062a\u0635\u0627\u062f\u0641\u06cc \u0628\u06cc\u0646 50 \u062a\u0627 100 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u062f\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">random = np.random.randint(<span class=\"hljs-number\">50<\/span>, <span class=\"hljs-number\">100<\/span>, <span class=\"hljs-number\">5<\/span>)\n<\/code><\/pre>\n<p>\u062f\u0631 \u0645\u0648\u0631\u062f \u0645\u0627\u060c \u062e\u0631\u0648\u062c\u06cc \u0628\u0647 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a \u0628\u0648\u062f:<\/p>\n<pre><code class=\"hljs\">array((54, 59, 84, 62, 74))\n<\/code><\/pre>\n<p>\u0630\u06a9\u0631 \u0627\u06cc\u0646 \u0646\u06a9\u062a\u0647 \u0636\u0631\u0648\u0631\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0647\u0631 \u0628\u0627\u0631 \u06a9\u0647 \u0645\u062a\u062f \u0631\u0627 \u0641\u0631\u0627\u062e\u0648\u0627\u0646\u06cc \u0645\u06cc \u06a9\u0646\u06cc\u062f \u0627\u06cc\u0646 \u0627\u0639\u062f\u0627\u062f \u0628\u0647 \u0635\u0648\u0631\u062a \u062a\u0635\u0627\u062f\u0641\u06cc \u062a\u0648\u0644\u06cc\u062f \u0645\u06cc \u0634\u0648\u0646\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0627\u0639\u062f\u0627\u062f \u0645\u062a\u0641\u0627\u0648\u062a\u06cc \u0646\u0633\u0628\u062a \u0628\u0647 \u0645\u062b\u0627\u0644 \u0645\u0627 \u062e\u0648\u0627\u0647\u06cc\u062f \u062f\u06cc\u062f.<\/p>\n<p>\u0645\u0627 \u0631\u0627\u0647 \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646 \u062f\u06cc\u062f\u06cc\u0645.  \u0627\u06a9\u0646\u0648\u0646 \u0628\u0631\u062e\u06cc \u0627\u0632 \u062f\u06cc\u06af\u0631 \u062a\u0648\u0627\u0628\u0639 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc \u06a9\u0646\u06cc\u0645.<\/p>\n<h3 id=\"reshapingnumpyarray\"><span class=\"ez-toc-section\" id=\"%d8%aa%d8%ba%db%8c%db%8c%d8%b1_%d8%b4%da%a9%d9%84_%d8%a2%d8%b1%d8%a7%db%8c%d9%87_numpy\"><\/span>\u062a\u063a\u06cc\u06cc\u0631 \u0634\u06a9\u0644 \u0622\u0631\u0627\u06cc\u0647 NumPy<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 NumPy \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u06cc\u06a9 \u0628\u0639\u062f\u06cc \u0631\u0627 \u0628\u0647 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u062f\u0648 \u0628\u0639\u062f\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 <code>reshape<\/code> \u0631\u0648\u0634.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0627\u0628\u062a\u062f\u0627 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0632 16 \u0639\u0646\u0635\u0631 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 <code>arange<\/code> \u062a\u0627\u0628\u0639.  \u06a9\u062f \u0632\u06cc\u0631 \u0631\u0627 \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">nums = np.arange(<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">17<\/span>)\n<\/code><\/pre>\n<p>\u0631\u0627 <code>nums<\/code> \u0622\u0631\u0627\u06cc\u0647 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u062a\u06a9 \u0628\u0639\u062f\u06cc \u0627\u0632 16 \u0639\u0646\u0635\u0631 \u0627\u0633\u062a \u06a9\u0647 \u0627\u0632 1 \u062a\u0627 16 \u0645\u062a\u063a\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">array(( 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16))\n<\/code><\/pre>\n<p>\u062e\u06cc\u0631\u060c \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0622\u0646 \u0631\u0627 \u0628\u0647 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u062f\u0648 \u0628\u0639\u062f\u06cc \u0627\u0632 4 \u0631\u062f\u06cc\u0641 \u0648 4 \u0633\u062a\u0648\u0646 \u062a\u0628\u062f\u06cc\u0644 \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\">nums2 = nums.reshape(<span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">4<\/span>)\n<\/code><\/pre>\n<p>\u0622\u0631\u0627\u06cc\u0647 \u0627\u06a9\u0646\u0648\u0646 \u0628\u0647 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">array((( 1,  2,  3,  4),\n       ( 5,  6,  7,  8),\n       ( 9, 10, 11, 12),\n       (13, 14, 15, 16)))\n<\/code><\/pre>\n<p>\u0644\u0627\u0632\u0645 \u0628\u0647 \u0630\u06a9\u0631 \u0627\u0633\u062a \u06a9\u0647 \u0627\u06af\u0631 \u062a\u0639\u062f\u0627\u062f \u0639\u0646\u0627\u0635\u0631 \u0622\u0631\u0627\u06cc\u0647 \u06cc\u06a9 \u0628\u0639\u062f\u06cc \u0628\u0627 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0633\u0637\u0631\u0647\u0627 \u0648 \u0633\u062a\u0648\u0646 \u0647\u0627\u06cc \u0622\u0631\u0627\u06cc\u0647 \u062a\u063a\u06cc\u06cc\u0631 \u0634\u06a9\u0644 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0628\u0631\u0627\u0628\u0631 \u0646\u0628\u0627\u0634\u062f\u060c \u0646\u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u062a\u063a\u06cc\u06cc\u0631 \u0634\u06a9\u0644 \u062f\u0647\u06cc\u062f.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0627\u06af\u0631 45 \u0639\u0646\u0635\u0631 \u062f\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 1 \u0628\u0639\u062f\u06cc \u062f\u0627\u0631\u06cc\u062f\u060c \u0646\u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0622\u0646 \u0631\u0627 \u0628\u0647 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 5 \u0633\u0637\u0631 \u0648 10 \u0633\u062a\u0648\u0646 \u062a\u063a\u06cc\u06cc\u0631 \u0634\u06a9\u0644 \u062f\u0647\u06cc\u062f \u0632\u06cc\u0631\u0627 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 5&#215;10 50 \u0639\u0646\u0635\u0631 \u062f\u0627\u0631\u062f \u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0635\u0644\u06cc \u0641\u0642\u0637 45 \u0639\u0646\u0635\u0631 \u062f\u0627\u0631\u062f.<\/p>\n<h3 id=\"findingmaxminvalues\"><span class=\"ez-toc-section\" id=\"%db%8c%d8%a7%d9%81%d8%aa%d9%86_%d9%85%d9%82%d8%a7%d8%af%db%8c%d8%b1_%d8%ad%d8%af%d8%a7%da%a9%d8%ab%d8%b1%d8%ad%d8%af%d8%a7%d9%82%d9%84\"><\/span>\u06cc\u0627\u0641\u062a\u0646 \u0645\u0642\u0627\u062f\u06cc\u0631 \u062d\u062f\u0627\u06a9\u062b\u0631\/\u062d\u062f\u0627\u0642\u0644<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0634\u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f <code>min<\/code>\/<code>max<\/code> \u062a\u0648\u0627\u0628\u0639 \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0622\u0633\u0627\u0646 \u0645\u0642\u062f\u0627\u0631 \u06a9\u0648\u0686\u06a9\u062a\u0631\u06cc\u0646 \u0648 \u0628\u0632\u0631\u06af\u062a\u0631\u06cc\u0646 \u0639\u062f\u062f \u062f\u0631 \u0622\u0631\u0627\u06cc\u0647 \u062e\u0648\u062f.  \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644\u060c \u0627\u062c\u0627\u0632\u0647 \u062f\u0647\u06cc\u062f \u0627\u0628\u062a\u062f\u0627 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0632 5 \u0639\u062f\u062f \u0635\u062d\u06cc\u062d \u062a\u0635\u0627\u062f\u0641\u06cc \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\">random = np.random.randint(<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">100<\/span>, <span class=\"hljs-number\">5<\/span>)\n<span class=\"hljs-built_in\">print<\/span>(random)\n<\/code><\/pre>\n<p>\u0622\u0631\u0627\u06cc\u0647 \u0627\u0639\u062f\u0627\u062f \u0635\u062d\u06cc\u062d \u062a\u0635\u0627\u062f\u0641\u06cc \u0645\u0627 \u0628\u0647 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">(51 40 84 38  1)\n<\/code><\/pre>\n<p>\u0628\u0647 \u06cc\u0627\u062f \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f\u060c \u0627\u06cc\u0646 \u0627\u0639\u062f\u0627\u062f \u0628\u0647 \u0635\u0648\u0631\u062a \u062a\u0635\u0627\u062f\u0641\u06cc \u062a\u0648\u0644\u06cc\u062f \u0645\u06cc \u0634\u0648\u0646\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0628\u0647 \u0627\u062d\u062a\u0645\u0627\u0644 \u0632\u06cc\u0627\u062f \u0645\u062c\u0645\u0648\u0639\u0647 \u0645\u062a\u0641\u0627\u0648\u062a\u06cc \u0627\u0632 \u0627\u0639\u062f\u0627\u062f \u062e\u0648\u0627\u0647\u06cc\u062f \u062f\u0627\u0634\u062a.  \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645 <code>min<\/code> \u0648 <code>max<\/code> \u062a\u0648\u0627\u0628\u0639 \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0645\u0642\u0627\u062f\u06cc\u0631 \u062d\u062f\u0627\u0642\u0644 \u0648 \u062d\u062f\u0627\u06a9\u062b\u0631 \u0627\u0632 \u0622\u0631\u0627\u06cc\u0647 \u0627\u06cc \u06a9\u0647 \u0628\u0647 \u062a\u0627\u0632\u06af\u06cc \u0627\u06cc\u062c\u0627\u062f \u06a9\u0631\u062f\u06cc\u0645.  \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u06a9\u062f \u0632\u06cc\u0631 \u0631\u0627 \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u062f \u062a\u0627 \u062d\u062f\u0627\u0642\u0644 \u0645\u0642\u062f\u0627\u0631 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">xmin = random.<span class=\"hljs-built_in\">min<\/span>()\n<span class=\"hljs-built_in\">print<\/span>(xmin)\n<\/code><\/pre>\n<p>&#8220;1&#8221; \u062f\u0631 \u062e\u0631\u0648\u062c\u06cc \u0686\u0627\u067e \u062e\u0648\u0627\u0647\u062f \u0634\u062f.<\/p>\n<p>\u0628\u0647 \u0637\u0648\u0631 \u0645\u0634\u0627\u0628\u0647\u060c \u0628\u0631\u0627\u06cc \u062d\u062f\u0627\u06a9\u062b\u0631 \u0645\u0642\u062f\u0627\u0631\u060c \u06a9\u062f \u0632\u06cc\u0631 \u0631\u0627 \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">xmax = random.<span class=\"hljs-built_in\">max<\/span>()\n<span class=\"hljs-built_in\">print<\/span>(xmax)\n<\/code><\/pre>\n<p>\u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0641\u0648\u0642 &#8220;84&#8221; \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f.<\/p>\n<p>\u0634\u0645\u0627 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f <em>\u0641\u0647\u0631\u0633\u062a \u0645\u0637\u0627\u0644\u0628<\/em> \u0627\u0632 \u062d\u062f\u0627\u06a9\u062b\u0631 \u0648 \u062d\u062f\u0627\u0642\u0644 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 <code>argmax()<\/code> \u0648 <code>argmin()<\/code> \u06a9\u0627\u0631\u06a9\u0631\u062f.  \u0628\u0647 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u062f\u0642\u062a \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-built_in\">print<\/span>(random.argmax())\n<\/code><\/pre>\n<p>\u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f print &#8220;2&#8221; \u0627\u0632 84 \u0628\u0632\u0631\u06af\u062a\u0631\u06cc\u0646 \u0639\u062f\u062f \u062f\u0631 \u0644\u06cc\u0633\u062a \u0627\u0633\u062a \u0648 \u062f\u0631 \u0645\u0648\u0642\u0639\u06cc\u062a \u062f\u0648\u0645 \u0622\u0631\u0627\u06cc\u0647 \u0642\u0631\u0627\u0631 \u062f\u0627\u0631\u062f.<\/p>\n<p>\u0628\u0647 \u0637\u0648\u0631 \u0645\u0634\u0627\u0628\u0647\u060c <code>argmin()<\/code> &#8220;4&#8221; \u0631\u0627 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f \u0632\u06cc\u0631\u0627 1 \u06a9\u0648\u0686\u06a9\u062a\u0631\u06cc\u0646 \u0639\u062f\u062f \u0627\u0633\u062a \u0648 \u062f\u0631 \u0645\u0648\u0642\u0639\u06cc\u062a 4 \u0642\u0631\u0627\u0631 \u062f\u0627\u0631\u062f.<\/p>\n<h3 id=\"arrayindexinginnumpy\"><span class=\"ez-toc-section\" id=\"%d9%86%d9%85%d8%a7%db%8c%d9%87_%d8%b3%d8%a7%d8%b2%db%8c_%d8%a2%d8%b1%d8%a7%db%8c%d9%87_%d8%af%d8%b1_numpy\"><\/span>\u0646\u0645\u0627\u06cc\u0647 \u0633\u0627\u0632\u06cc \u0622\u0631\u0627\u06cc\u0647 \u062f\u0631 NumPy<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u0648\u062b\u0631 \u0627\u0632 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc NumPy\u060c \u062f\u0631\u06a9 \u0631\u0648\u0634 \u0646\u0645\u0627\u06cc\u0647 \u0633\u0627\u0632\u06cc \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627 \u0628\u0633\u06cc\u0627\u0631 \u0645\u0647\u0645 \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0686\u0646\u062f \u0628\u062e\u0634 \u0628\u0639\u062f\u06cc \u0628\u0647 \u0622\u0646 \u062e\u0648\u0627\u0647\u0645 \u067e\u0631\u062f\u0627\u062e\u062a.<\/p>\n<h4 id=\"indexingwith1darrays\">\u0646\u0645\u0627\u06cc\u0647 \u0633\u0627\u0632\u06cc \u0628\u0627 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc 1 \u0628\u0639\u062f\u06cc<\/h4>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0633\u0627\u062f\u0647 \u0627\u0632 15 \u0639\u062f\u062f \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\">nums = np.arange(<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">16<\/span>)\n<\/code><\/pre>\n<p>\u0634\u0645\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0647\u0631 \u0639\u0646\u0635\u0631 \u0631\u0627 \u0628\u0627 \u0639\u0628\u0648\u0631 \u062f\u0627\u062f\u0646 \u0634\u0645\u0627\u0631\u0647 \u0641\u0647\u0631\u0633\u062a \u0628\u0627\u0632\u06cc\u0627\u0628\u06cc \u06a9\u0646\u06cc\u062f.  \u062f\u0631\u0633\u062a \u0645\u0627\u0646\u0646\u062f \u0644\u06cc\u0633\u062a \u0647\u0627\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646\u060c \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc NumPy \u062f\u0627\u0631\u0627\u06cc \u0634\u0627\u062e\u0635 \u0635\u0641\u0631 \u0647\u0633\u062a\u0646\u062f.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0639\u0646\u0635\u0631 \u062f\u0631 \u0627\u0646\u062f\u06cc\u0633 \u062f\u0648\u0645 (\u0645\u0648\u0642\u0639\u06cc\u062a \u0633\u0648\u0645) \u0622\u0631\u0627\u06cc\u0647\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u0646\u062d\u0648 \u0632\u06cc\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-built_in\">print<\/span>(nums(<span class=\"hljs-number\">2<\/span>))\n<\/code><\/pre>\n<p>\u062f\u0631 \u0646\u0645\u0627\u06cc\u0647 \u062f\u0648\u0645 \u0631\u0642\u0645 3 \u0631\u0627 \u062f\u0627\u0631\u06cc\u0645\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0686\u0627\u067e \u0645\u06cc \u0634\u0648\u062f \u0631\u0648\u06cc \u0635\u0641\u062d\u0647 \u0646\u0645\u0627\u06cc\u0634<\/p>\n<p>\u0634\u0645\u0627 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f print \u0637\u06cc\u0641 \u0648\u0633\u06cc\u0639\u06cc \u0627\u0632 \u0627\u0639\u062f\u0627\u062f \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0646\u0645\u0627\u06cc\u0647 \u0633\u0627\u0632\u06cc  \u0628\u0631\u0627\u06cc \u0628\u062f\u0633\u062a \u0622\u0648\u0631\u062f\u0646 \u0645\u062d\u062f\u0648\u062f\u0647\u060c \u0628\u0627\u06cc\u062f \u0634\u0627\u062e\u0635 \u0634\u0631\u0648\u0639 \u0648 \u06cc\u06a9 \u06a9\u0645\u062a\u0631 \u0627\u0632 \u0627\u0646\u062f\u06cc\u0633 \u067e\u0627\u06cc\u0627\u0646 \u0631\u0627 \u06a9\u0647 \u0628\u0627 \u06cc\u06a9 \u062f\u0648 \u0646\u0642\u0637\u0647 \u0627\u0632 \u0647\u0645 \u062c\u062f\u0627 \u0634\u062f\u0647 \u0627\u0646\u062f\u060c \u062f\u0631 \u062f\u0627\u062e\u0644 \u0628\u0631\u0627\u06a9\u062a \u0647\u0627\u06cc \u0645\u0631\u0628\u0639\u06cc \u06a9\u0647 \u0627\u0632 \u0646\u0627\u0645 \u0622\u0631\u0627\u06cc\u0647 \u067e\u06cc\u0631\u0648\u06cc \u0645\u06cc \u06a9\u0646\u0646\u062f \u0639\u0628\u0648\u0631 \u062f\u0647\u06cc\u062f.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0628\u0631\u0627\u06cc \u0628\u0647 \u062f\u0633\u062a \u0622\u0648\u0631\u062f\u0646 \u0639\u0646\u0627\u0635\u0631 \u0627\u0632 \u0634\u0627\u062e\u0635 \u0627\u0648\u0644 \u062a\u0627 \u0647\u0641\u062a\u0645\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u0646\u062d\u0648 \u0632\u06cc\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-built_in\">print<\/span>(nums(<span class=\"hljs-number\">1<\/span>:<span class=\"hljs-number\">8<\/span>))\n<\/code><\/pre>\n<p>\u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f print \u0627\u0639\u062f\u0627\u062f \u0635\u062d\u06cc\u062d \u0627\u0632 2 \u062a\u0627 8:<\/p>\n<pre><code class=\"hljs\">(2 3 4 5 6 7 8)\n<\/code><\/pre>\n<p>\u0627\u06cc\u0646\u062c\u0627 \u062f\u0631 <code>nums<\/code> \u0622\u0631\u0627\u06cc\u0647\u060c \u0645\u0627 2 \u062f\u0631 \u0634\u0627\u062e\u0635 1 \u0648 8 \u062f\u0631 \u0634\u0627\u062e\u0635 \u0647\u0641\u062a \u062f\u0627\u0631\u06cc\u0645.<\/p>\n<p>\u0647\u0645\u0686\u0646\u06cc\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u0628\u0631\u0634 \u062f\u0647\u06cc\u062f \u0648 \u0639\u0646\u0627\u0635\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0628\u0631\u0634 \u062e\u0648\u0631\u062f\u0647 \u0631\u0627 \u0628\u0647 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u062c\u062f\u06cc\u062f \u0627\u062e\u062a\u0635\u0627\u0635 \u062f\u0647\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">nums2 = nums(<span class=\"hljs-number\">0<\/span>:<span class=\"hljs-number\">8<\/span>)\n<span class=\"hljs-built_in\">print<\/span>(nums2)\n<\/code><\/pre>\n<p>\u062f\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u0645\u0627 \u0622\u0646 \u0631\u0627 \u0628\u0631\u0634 \u062f\u0627\u062f\u06cc\u0645 <code>nums<\/code> \u0622\u0631\u0627\u06cc\u0647 \u0628\u0627 \u0627\u0633\u062a\u062e\u0631\u0627\u062c 8 \u0639\u0646\u0635\u0631 \u0627\u0648\u0644 \u0622\u0646.  \u0639\u0646\u0627\u0635\u0631 \u062d\u0627\u0635\u0644 \u0628\u0647 <code>nums2<\/code> \u0622\u0631\u0627\u06cc\u0647.  \u0633\u067e\u0633 \u0645\u0627 print \u0631\u0627 <code>nums2<\/code> \u0622\u0631\u0627\u06cc\u0647 \u0628\u0647 console.  \u062e\u0631\u0648\u062c\u06cc \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u062c\u062f\u06cc\u062f \u0627\u0632 8 \u0639\u062f\u062f \u0627\u0648\u0644 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">(1 2 3 4 5 6 7 8)\n<\/code><\/pre>\n<h4 id=\"indexingwith2darrays\">\u0646\u0645\u0627\u06cc\u0647 \u0633\u0627\u0632\u06cc \u0628\u0627 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u062f\u0648 \u0628\u0639\u062f\u06cc<\/h4>\n<p>\u0646\u0645\u0627\u06cc\u0647 \u0633\u0627\u0632\u06cc \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 NumPy \u062f\u0648 \u0628\u0639\u062f\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0634\u0628\u06cc\u0647 \u0628\u0647 \u0646\u0645\u0627\u06cc\u0647 \u0633\u0627\u0632\u06cc \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0633\u062a.  \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0627\u0628\u062a\u062f\u0627 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 NumPy \u062f\u0648 \u0628\u0639\u062f\u06cc 3&#215;3 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u0645.  \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u06a9\u062f \u0632\u06cc\u0631 \u0631\u0627 \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">nums2d = np.array(((<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">2<\/span>,<span class=\"hljs-number\">3<\/span>),(<span class=\"hljs-number\">4<\/span>,<span class=\"hljs-number\">5<\/span>,<span class=\"hljs-number\">6<\/span>),(<span class=\"hljs-number\">7<\/span>,<span class=\"hljs-number\">8<\/span>,<span class=\"hljs-number\">9<\/span>)))\n<\/code><\/pre>\n<p>\u062d\u0627\u0644\u0627 \u0648\u0642\u062a\u0647 print \u0622\u0646 \u0631\u0627 \u0628\u06cc\u0631\u0648\u0646 \u0622\u0648\u0631\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-built_in\">print<\/span>(nums2d)\n<\/code><\/pre>\n<pre><code class=\"hljs\">((1 2 3)\n (4 5 6)\n (7 8 9))\n<\/code><\/pre>\n<p>\u0645\u0627\u0646\u0646\u062f \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc 1 \u0628\u0639\u062f\u06cc\u060c \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc NumPy \u0628\u0627 \u062f\u0648 \u0628\u0639\u062f\u06cc \u0646\u06cc\u0632 \u0627\u0632 \u0634\u0627\u062e\u0635 \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u0635\u0641\u0631 \u067e\u06cc\u0631\u0648\u06cc \u0645\u06cc \u06a9\u0646\u0646\u062f\u060c \u06cc\u0639\u0646\u06cc \u0628\u0631\u0627\u06cc \u062f\u0633\u062a\u0631\u0633\u06cc \u0628\u0647 \u0639\u0646\u0627\u0635\u0631 \u0645\u0648\u062c\u0648\u062f \u062f\u0631 <em>\u0627\u0648\u0644\u06cc\u0646<\/em> \u0631\u062f\u06cc\u0641\u060c \u0634\u0645\u0627 \u0628\u0627\u06cc\u062f 0 \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0634\u0627\u062e\u0635 \u0631\u062f\u06cc\u0641 \u0645\u0634\u062e\u0635 \u06a9\u0646\u06cc\u062f.  \u0628\u0647 \u0637\u0648\u0631 \u0645\u0634\u0627\u0628\u0647 \u0628\u0631\u0627\u06cc \u062f\u0633\u062a\u0631\u0633\u06cc \u0628\u0647 \u0639\u0646\u0627\u0635\u0631 \u062f\u0631 \u0633\u062a\u0648\u0646 \u0627\u0648\u0644\u060c \u0628\u0627\u06cc\u062f 0 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0646\u0645\u0627\u06cc\u0647 \u0633\u062a\u0648\u0646 \u0646\u06cc\u0632 \u0645\u0634\u062e\u0635 \u06a9\u0646\u06cc\u062f.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u06cc\u06a9 \u0639\u0646\u0635\u0631 \u0631\u0627 \u0627\u0632 <code>nums2d<\/code> \u0622\u0631\u0627\u06cc\u0647 \u0627\u06cc \u06a9\u0647 \u062f\u0631 \u0633\u0637\u0631 \u0627\u0648\u0644 \u0648 \u0633\u062a\u0648\u0646 \u0627\u0648\u0644 \u0642\u0631\u0627\u0631 \u062f\u0627\u0631\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-built_in\">print<\/span>(nums2d(<span class=\"hljs-number\">0<\/span>, <span class=\"hljs-number\">0<\/span>))\n<\/code><\/pre>\n<p>&#8220;1&#8221; \u0631\u0627 \u062f\u0631 \u062e\u0631\u0648\u062c\u06cc \u0645\u0634\u0627\u0647\u062f\u0647 \u062e\u0648\u0627\u0647\u06cc\u062f \u06a9\u0631\u062f.  \u0628\u0647 \u0637\u0648\u0631 \u0645\u0634\u0627\u0628\u0647\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0639\u0646\u0635\u0631 \u0631\u0627 \u062f\u0631 \u0631\u062f\u06cc\u0641 \u0633\u0648\u0645 \u0648 \u0633\u062a\u0648\u0646 \u0633\u0648\u0645 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0628\u0627\u0632\u06cc\u0627\u0628\u06cc \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-built_in\">print<\/span>(nums2d(<span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">2<\/span>))\n<\/code><\/pre>\n<p>&#8220;9&#8221; \u0631\u0627 \u062f\u0631 \u062e\u0631\u0648\u062c\u06cc \u062e\u0648\u0627\u0647\u06cc\u062f \u062f\u06cc\u062f.<\/p>\n<p>\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u06cc\u06a9 \u0639\u0646\u0635\u0631\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u06a9\u0644 \u0633\u0637\u0631 \u0631\u0627 \u062a\u0646\u0647\u0627 \u0628\u0627 \u06af\u0630\u0627\u0634\u062a\u0646 \u0627\u0646\u062f\u06cc\u0633 \u0631\u062f\u06cc\u0641 \u0628\u0647 \u0628\u0631\u0627\u06a9\u062a \u0647\u0627 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u06a9\u0646\u06cc\u062f.  \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644\u060c \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u0627\u0648\u0644\u06cc\u0646 \u0633\u0637\u0631 \u0631\u0627 \u0627\u0632 <code>nums2d<\/code> \u0622\u0631\u0627\u06cc\u0647:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-built_in\">print<\/span>(nums2d(<span class=\"hljs-number\">0<\/span>))\n<\/code><\/pre>\n<p>\u062e\u0631\u0648\u062c\u06cc \u0641\u0642\u0637 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u06cc\u06a9 \u0628\u0639\u062f\u06cc \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">(1 2 3)\n<\/code><\/pre>\n<p>\u0628\u0647 \u0637\u0648\u0631 \u0645\u0634\u0627\u0628\u0647 \u0628\u0631\u0627\u06cc \u0628\u0627\u0632\u06cc\u0627\u0628\u06cc \u062a\u0646\u0647\u0627 \u0633\u062a\u0648\u0646 \u0627\u0648\u0644\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u0646\u062d\u0648 \u0632\u06cc\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-built_in\">print<\/span>(nums2d(:,<span class=\"hljs-number\">0<\/span>))\n<\/code><\/pre>\n<p>\u062e\u0631\u0648\u062c\u06cc \u062f\u0648\u0628\u0627\u0631\u0647 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0633\u062a\u060c \u0627\u0645\u0627 \u062a\u0631\u06a9\u06cc\u0628\u06cc \u0627\u0632 \u0627\u0648\u0644\u06cc\u0646 \u0639\u0646\u0627\u0635\u0631 \u0647\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0632 \u0622\u0631\u0627\u06cc\u0647 \u062f\u0648 \u0628\u0639\u062f\u06cc \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">(1 4 7)\n<\/code><\/pre>\n<p>\u062f\u0631 \u0646\u0647\u0627\u06cc\u062a\u060c \u0628\u0631\u0627\u06cc \u0628\u0627\u0632\u06cc\u0627\u0628\u06cc \u0639\u0646\u0627\u0635\u0631 \u0627\u0632 \u062f\u0648 \u0633\u0637\u0631 \u0627\u0648\u0644 \u0648 \u062f\u0648 \u0633\u062a\u0648\u0646 \u0627\u0648\u0644\u060c \u0645\u06cc \u062a\u0648\u0627\u0646 \u0627\u0632 \u0646\u062d\u0648 \u0632\u06cc\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-built_in\">print<\/span>(nums2d(:<span class=\"hljs-number\">2<\/span>,:<span class=\"hljs-number\">2<\/span>))\n<\/code><\/pre>\n<p>\u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u062e\u0631\u0648\u062c\u06cc \u0632\u06cc\u0631 \u0631\u0627 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f:<\/p>\n<pre><code class=\"hljs\">((1 2)\n (4 5))\n<\/code><\/pre>\n<h3 id=\"arithmeticoperationswithnumpyarrays\"><span class=\"ez-toc-section\" id=\"%d8%b9%d9%85%d9%84%db%8c%d8%a7%d8%aa_%d8%ad%d8%b3%d8%a7%d8%a8%db%8c_%d8%a8%d8%a7_%d8%a2%d8%b1%d8%a7%db%8c%d9%87_%d9%87%d8%a7%db%8c_numpy\"><\/span>\u0639\u0645\u0644\u06cc\u0627\u062a \u062d\u0633\u0627\u0628\u06cc \u0628\u0627 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc NumPy<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644 \u0647\u0627\u06cc \u0627\u06cc\u0646 \u0628\u062e\u0634\u060c \u0627\u0632 <code>nums<\/code> \u0622\u0631\u0627\u06cc\u0647 \u0627\u06cc \u06a9\u0647 \u062f\u0631 \u0642\u0633\u0645\u062a \u0622\u062e\u0631 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0631\u062f\u06cc\u0645.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0627\u0628\u062a\u062f\u0627 \u062f\u0648 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u0628\u0627 \u0647\u0645 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u0645:<\/p>\n<pre><code class=\"hljs\">nums3 = nums + nums\n<\/code><\/pre>\n<p>\u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u062f\u0648 \u0622\u0631\u0627\u06cc\u0647 \u0628\u0627 \u0627\u0628\u0639\u0627\u062f \u06cc\u06a9\u0633\u0627\u0646 \u0631\u0627 \u0628\u0647 \u0647\u0645 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c <code>nums<\/code> \u0622\u0631\u0627\u06cc\u0647 \u0634\u0627\u0645\u0644 15 \u0639\u0646\u0635\u0631 \u0627\u0633\u062a\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u062e\u0648\u062f\u0634 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u0645.  \u0639\u0646\u0627\u0635\u0631 \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0646\u0645\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637\u0647 \u0627\u0636\u0627\u0641\u0647 \u062e\u0648\u0627\u0647\u0646\u062f \u0634\u062f.  \u062d\u0627\u0644\u0627 \u0627\u06af\u0631 \u0634\u0645\u0627 print \u0631\u0627 <code>nums3<\/code> \u0622\u0631\u0627\u06cc\u0647\u060c \u062e\u0631\u0648\u062c\u06cc \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">( 2  4  6  8 10 12 14 16 18 20 22 24 26 28 30)\n<\/code><\/pre>\n<p>\u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u0645\u06cc \u0628\u06cc\u0646\u06cc\u062f\u060c \u0647\u0631 \u0645\u0648\u0642\u0639\u06cc\u062a \u0645\u062c\u0645\u0648\u0639 2 \u0639\u0646\u0635\u0631 \u062f\u0631 \u0622\u0646 \u0645\u0648\u0642\u0639\u06cc\u062a \u062f\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0627\u0635\u0644\u06cc \u0627\u0633\u062a.<\/p>\n<p>\u0627\u06af\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0628\u0627 \u0645\u0642\u062f\u0627\u0631 \u0627\u0633\u06a9\u0627\u0644\u0631 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f\u060c \u0645\u0642\u062f\u0627\u0631 \u0628\u0647 \u0622\u0646 \u0627\u0636\u0627\u0641\u0647 \u0645\u06cc \u0634\u0648\u062f <em>\u0647\u0631 \u0639\u0646\u0635\u0631<\/em> \u062f\u0631 \u0622\u0631\u0627\u06cc\u0647  \u0628\u06cc\u0627\u06cc\u06cc\u062f 10 \u0631\u0627 \u0628\u0647 \u0622\u0646 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u0645 <code>nums<\/code> \u0622\u0631\u0627\u06cc\u0647 \u0648 print \u0622\u0631\u0627\u06cc\u0647 \u062d\u0627\u0635\u0644 \u0631\u0648\u06cc \u0631\u0627 console.  \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u062f\u0647\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">nums3 = nums + <span class=\"hljs-number\">10<\/span>\n<span class=\"hljs-built_in\">print<\/span>(nums3)\n<\/code><\/pre>\n<p>\u0648 \u062d\u0627\u0635\u0644 \u0622\u0646 <code>nums3<\/code> \u0622\u0631\u0627\u06cc\u0647 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n<pre><code class=\"hljs\">(11 12 13 14 15 16 17 18 19 20 21 22 23 24 25)\n<\/code><\/pre>\n<p>\u062a\u0641\u0631\u06cc\u0642\u060c \u062c\u0645\u0639\u060c \u0636\u0631\u0628 \u0648 \u062a\u0642\u0633\u06cc\u0645 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u0647\u0645\u06cc\u0646 \u062a\u0631\u062a\u06cc\u0628 \u0627\u0646\u062c\u0627\u0645 \u062f\u0627\u062f.<\/p>\n<p>\u0628\u0647 \u063a\u06cc\u0631 \u0627\u0632 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0633\u0627\u062f\u0647\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u062a\u0648\u0627\u0628\u0639 \u067e\u06cc\u0686\u06cc\u062f\u0647 \u062a\u0631\u06cc \u0631\u0627 \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u062f \u0631\u0648\u06cc \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc NumPy\u060c \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 \u0648\u0631\u0648\u062f\u060c \u0645\u0631\u0628\u0639 root\u060c \u0646\u0645\u0627\u06cc\u06cc \u0648 \u063a\u06cc\u0631\u0647<\/p>\n<h4 id=\"thelogfunction\">\u0631\u0627 <code>log<\/code> \u062a\u0627\u0628\u0639<\/h4>\n<p>\u06a9\u062f \u0632\u06cc\u0631 \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u0628\u0627 \u06af\u0632\u0627\u0631\u0634 \u062a\u0645\u0627\u0645 \u0639\u0646\u0627\u0635\u0631 \u062f\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0648\u0631\u0648\u062f\u06cc \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f:<\/p>\n<pre><code class=\"hljs\">nums3 = np.log(nums)\n<span class=\"hljs-built_in\">print<\/span>(nums3)\n<\/code><\/pre>\n<p>\u062e\u0631\u0648\u062c\u06cc \u0628\u0647 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">(0.         0.69314718 1.09861229 1.38629436 1.60943791 1.79175947\n 1.94591015 2.07944154 2.19722458 2.30258509 2.39789527 2.48490665\n 2.56494936 2.63905733 2.7080502 )\n<\/code><\/pre>\n<h4 id=\"theexpfunction\">\u0631\u0627 <code>exp<\/code> \u062a\u0627\u0628\u0639<\/h4>\n<p>\u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0628\u0627 \u0646\u0645\u0627\u0647\u0627\u06cc \u0647\u0645\u0647 \u0639\u0646\u0627\u0635\u0631 \u062f\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0648\u0631\u0648\u062f\u06cc \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f:<\/p>\n<pre><code class=\"hljs\">nums3 = np.exp(nums)\n<span class=\"hljs-built_in\">print<\/span>(nums3)\n<\/code><\/pre>\n<pre><code class=\"hljs\">(2.71828183e+00 7.38905610e+00 2.00855369e+01 5.45981500e+01\n 1.48413159e+02 4.03428793e+02 1.09663316e+03 2.98095799e+03\n 8.10308393e+03 2.20264658e+04 5.98741417e+04 1.62754791e+05\n 4.42413392e+05 1.20260428e+06 3.26901737e+06)\n<\/code><\/pre>\n<h4 id=\"thesqrtfunction\">\u0631\u0627 <code>sqrt<\/code> \u062a\u0627\u0628\u0639<\/h4>\n<p>\u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0627\u06cc \u0631\u0627 \u0628\u0627 \u0631\u06cc\u0634\u0647 \u0647\u0627\u06cc \u0645\u0631\u0628\u0639 \u062a\u0645\u0627\u0645 \u0639\u0646\u0627\u0635\u0631 \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0648\u0631\u0648\u062f\u06cc \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f:<\/p>\n<pre><code class=\"hljs\">nums3 = np.sqrt(nums)\n<span class=\"hljs-built_in\">print<\/span>(nums3)\n<\/code><\/pre>\n<pre><code class=\"hljs\">(1.         1.41421356 1.73205081 2.         2.23606798 2.44948974\n 2.64575131 2.82842712 3.         3.16227766 3.31662479 3.46410162\n 3.60555128 3.74165739 3.87298335)\n<\/code><\/pre>\n<h4 id=\"thesinfunction\">\u0631\u0627 <code>sin<\/code> \u062a\u0627\u0628\u0639<\/h4>\n<p>\u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0628\u0627 \u0633\u06cc\u0646\u0648\u0633 \u062a\u0645\u0627\u0645 \u0639\u0646\u0627\u0635\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0648\u0631\u0648\u062f\u06cc \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f:<\/p>\n<pre><code class=\"hljs\">nums3 = np.sin(nums)\n<span class=\"hljs-built_in\">print<\/span>(nums3)\n<\/code><\/pre>\n<pre><code class=\"hljs\">( 0.84147098  0.90929743  0.14112001 -0.7568025  -0.95892427 -0.2794155\n  0.6569866   0.98935825  0.41211849 -0.54402111 -0.99999021 -0.53657292\n  0.42016704  0.99060736  0.65028784)\n<\/code><\/pre>\n<h3 id=\"linearalgebraoperationswithnumpyarrays\"><span class=\"ez-toc-section\" id=\"%d8%b9%d9%85%d9%84%db%8c%d8%a7%d8%aa_%d8%ac%d8%a8%d8%b1_%d8%ae%d8%b7%db%8c_%d8%a8%d8%a7_%d8%a2%d8%b1%d8%a7%db%8c%d9%87_%d9%87%d8%a7%db%8c_numpy\"><\/span>\u0639\u0645\u0644\u06cc\u0627\u062a \u062c\u0628\u0631 \u062e\u0637\u06cc \u0628\u0627 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc NumPy<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u06cc\u06a9\u06cc \u0627\u0632 \u0628\u0632\u0631\u06af\u062a\u0631\u06cc\u0646 \u0645\u0632\u06cc\u062a\u200c\u0647\u0627\u06cc \u0622\u0631\u0627\u06cc\u0647\u200c\u0647\u0627\u06cc NumPy\u060c \u062a\u0648\u0627\u0646\u0627\u06cc\u06cc \u0622\u0646\u200c\u0647\u0627 \u062f\u0631 \u0627\u0646\u062c\u0627\u0645 \u0639\u0645\u0644\u06cc\u0627\u062a \u062c\u0628\u0631 \u062e\u0637\u06cc\u060c \u0645\u0627\u0646\u0646\u062f \u062d\u0627\u0635\u0644\u0636\u0631\u0628 \u0646\u0642\u0637\u0647 \u0628\u0631\u062f\u0627\u0631\u06cc \u0648 \u062d\u0627\u0635\u0644\u0636\u0631\u0628 \u0646\u0642\u0637\u0647 \u0645\u0627\u062a\u0631\u06cc\u0633\u060c \u0628\u0633\u06cc\u0627\u0631 \u0633\u0631\u06cc\u0639\u200c\u062a\u0631 \u0627\u0632 \u0622\u0646 \u0686\u06cc\u0632\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0628\u0627 \u0644\u06cc\u0633\u062a\u200c\u0647\u0627\u06cc \u067e\u06cc\u0634\u200c\u0641\u0631\u0636 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u062f.<\/p>\n<h4 id=\"findingthevectordotproduct\">\u06cc\u0627\u0641\u062a\u0646 \u0645\u062d\u0635\u0648\u0644 \u0646\u0642\u0637\u0647 \u0628\u0631\u062f\u0627\u0631\u06cc<\/h4>\n<p>\u0645\u062d\u0627\u0633\u0628\u0647 \u0628\u0631\u062f\u0627\u0631 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Dot_product\">\u0645\u062d\u0635\u0648\u0644 \u0646\u0642\u0637\u0647 \u0627\u06cc<\/a> \u0628\u0631\u0627\u06cc \u062f\u0648 \u0628\u0631\u062f\u0627\u0631 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0627 \u0636\u0631\u0628 \u0639\u0646\u0627\u0635\u0631 \u0645\u062a\u0646\u0627\u0638\u0631 \u062f\u0648 \u0628\u0631\u062f\u0627\u0631 \u0648 \u0633\u067e\u0633 \u062c\u0645\u0639 \u06a9\u0631\u062f\u0646 \u0646\u062a\u0627\u06cc\u062c \u062d\u0627\u0635\u0644 \u0627\u0632 \u0645\u062d\u0635\u0648\u0644\u0627\u062a \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0631\u062f.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u062f\u0648 \u0628\u0631\u062f\u0627\u0631 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u0645 \u0648 \u0633\u0639\u06cc \u06a9\u0646\u06cc\u0645 \u0645\u062d\u0635\u0648\u0644 \u0646\u0642\u0637\u0647 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u062f\u0633\u062a\u06cc \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645.  \u06cc\u06a9 \u0628\u0631\u062f\u0627\u0631 \u062f\u0631 NumPy \u0627\u0633\u0627\u0633\u0627\u064b \u0641\u0642\u0637 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 1 \u0628\u0639\u062f\u06cc \u0627\u0633\u062a.  \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u0648\u06a9\u062a\u0648\u0631\u0647\u0627\u06cc \u0645\u0627 \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">x = np.array((<span class=\"hljs-number\">2<\/span>,<span class=\"hljs-number\">4<\/span>))\ny = np.array((<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">3<\/span>))\n<\/code><\/pre>\n<p>\u062d\u0627\u0635\u0644\u0636\u0631\u0628 \u0646\u0642\u0637\u0647 \u0627\u06cc \u062f\u0648 \u0628\u0631\u062f\u0627\u0631 \u0641\u0648\u0642 \u0645\u06cc \u0628\u0627\u0634\u062f <code>(2 x 1) + (4 x 3) = 14<\/code>.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0645\u062d\u0635\u0648\u0644 \u0646\u0642\u0637\u0647 \u0631\u0627 \u0628\u062f\u0648\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645.  \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u0631\u0627 \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">dot_product = <span class=\"hljs-number\">0<\/span>\n<span class=\"hljs-keyword\">for<\/span> a,b <span class=\"hljs-keyword\">in<\/span> <span class=\"hljs-built_in\">zip<\/span>(x,y):\n    dot_product += a * b\n\n<span class=\"hljs-built_in\">print<\/span>(dot_product)\n<\/code><\/pre>\n<p>\u062f\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627\u060c \u0645\u0627 \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0639\u0646\u0627\u0635\u0631 \u0645\u0631\u0628\u0648\u0637\u0647 \u0631\u0627 \u062f\u0631 \u0622\u0646 \u062d\u0644\u0642\u0647 \u0632\u062f\u06cc\u0645 <code>x<\/code> \u0648 <code>y<\/code> \u0628\u0631\u062f\u0627\u0631\u0647\u0627 \u0631\u0627 \u0636\u0631\u0628 \u06a9\u0631\u062f \u0648 \u0628\u0647 \u062c\u0645\u0639 \u0642\u0628\u0644\u06cc \u0627\u0636\u0627\u0641\u0647 \u06a9\u0631\u062f.  \u0627\u06af\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u0631\u0627 \u0627\u062c\u0631\u0627 \u06a9\u0646\u06cc\u062f\u060c &#8220;14&#8221; \u0631\u0627 \u062e\u0648\u0627\u0647\u06cc\u062f \u062f\u06cc\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0686\u0627\u067e \u0634\u062f\u0647 \u0627\u0633\u062a console.<\/p>\n<p>\u062d\u0627\u0644\u060c \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0628\u0628\u06cc\u0646\u06cc\u0645 \u0686\u06af\u0648\u0646\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0645\u062d\u0635\u0648\u0644 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0631\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645.  \u0628\u0647 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0632\u06cc\u0631 \u0646\u06af\u0627\u0647 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">a = x * y\n<span class=\"hljs-built_in\">print<\/span>(a.<span class=\"hljs-built_in\">sum<\/span>())\n<\/code><\/pre>\n<p>\u0645\u06cc \u062f\u0627\u0646\u06cc\u0645 \u06a9\u0647 \u0627\u06af\u0631 \u062f\u0648 \u0622\u0631\u0627\u06cc\u0647 NumPy \u0631\u0627 \u0636\u0631\u0628 \u06a9\u0646\u06cc\u0645\u060c \u0639\u0646\u0627\u0635\u0631 \u0645\u0631\u0628\u0648\u0637\u0647 \u0627\u0632 \u0647\u0631 \u062f\u0648 \u0622\u0631\u0627\u06cc\u0647 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0636\u0631\u0628 \u0645\u06cc \u0634\u0648\u0646\u062f. \u0631\u0648\u06cc \u0634\u0627\u062e\u0635 \u0622\u0646\u0647\u0627  \u062f\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627\u060c \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0639\u062f\u062f \u0631\u0627 \u0636\u0631\u0628 \u06a9\u0631\u062f\u06cc\u0645 <code>x<\/code> \u0648 <code>y<\/code> \u0628\u0631\u062f\u0627\u0631\u0647\u0627  \u0633\u067e\u0633 \u0645\u0627 \u062a\u0645\u0627\u0633 \u0645\u06cc \u06af\u06cc\u0631\u06cc\u0645 <code>sum<\/code> \u0631\u0648\u0634 \u0631\u0648\u06cc \u0622\u0631\u0627\u06cc\u0647 \u062d\u0627\u0635\u0644 \u06a9\u0647 \u062a\u0645\u0627\u0645 \u0639\u0646\u0627\u0635\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u062c\u0645\u0639 \u0645\u06cc \u06a9\u0646\u062f.  \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0641\u0648\u0642 \u0646\u06cc\u0632 &#8220;14&#8221; \u0631\u0627 \u062f\u0631 \u062e\u0631\u0648\u062c\u06cc \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f.<\/p>\n<p>\u0631\u0648\u0634 \u0641\u0648\u0642 \u0633\u0627\u062f\u0647 \u0627\u0633\u062a\u060c \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u0645\u062d\u0635\u0648\u0644 \u0646\u0642\u0637\u0647 \u0631\u0627 \u0627\u0632 \u0637\u0631\u06cc\u0642 <code>dot<\/code> \u0631\u0648\u0634\u060c \u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\"><span class=\"hljs-built_in\">print<\/span>(x.dot(y))\n<\/code><\/pre>\n<p>\u0628\u0631\u0627\u06cc \u0622\u0631\u0627\u06cc\u0647\u200c\u0647\u0627\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0628\u0632\u0631\u06af\u060c \u0628\u0647 \u0644\u0637\u0641 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 NumPy \u0627\u0632 \u06a9\u062f C \u0628\u0631\u0627\u06cc \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u062a\u0648\u0627\u0628\u0639 \u0627\u0635\u0644\u06cc \u0648 \u0633\u0627\u062e\u062a\u0627\u0631\u0647\u0627\u06cc \u062f\u0627\u062f\u0647\u060c \u0628\u0627\u06cc\u062f \u0646\u0633\u0628\u062a \u0628\u0647 \u0646\u0633\u062e\u0647 \u0641\u0642\u0637 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0645\u0627 \u0634\u0627\u0647\u062f \u0628\u0647\u0628\u0648\u062f \u0633\u0631\u0639\u062a \u0646\u06cc\u0632 \u0628\u0627\u0634\u06cc\u062f.<\/p>\n<h4 id=\"matrixmultiplication\">\u0636\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633<\/h4>\n<p>\u0645\u0627\u0646\u0646\u062f \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0646\u0642\u0637\u0647 \u0627\u06cc \u062f\u0648 \u0628\u0631\u062f\u0627\u0631\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0631\u0627 \u0646\u06cc\u0632 \u0636\u0631\u0628 \u06a9\u0646\u06cc\u062f.  \u062f\u0631 NumPy\u060c \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0686\u06cc\u0632\u06cc \u0628\u06cc\u0634 \u0627\u0632 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u062f\u0648 \u0628\u0639\u062f\u06cc \u0646\u06cc\u0633\u062a.  \u0628\u0631\u0627\u06cc \u0636\u0631\u0628 \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633\u060c \u0627\u0628\u0639\u0627\u062f \u062f\u0627\u062e\u0644\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 \u0647\u0627 \u0628\u0627\u06cc\u062f \u0645\u0637\u0627\u0628\u0642\u062a \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f\u060c \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0639\u0646\u06cc \u06a9\u0647 \u062a\u0639\u062f\u0627\u062f \u0633\u062a\u0648\u0646 \u0647\u0627\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 \u0631\u0648\u06cc \u0633\u0645\u062a \u0686\u067e \u0628\u0627\u06cc\u062f \u0628\u0631\u0627\u0628\u0631 \u0628\u0627 \u062a\u0639\u062f\u0627\u062f \u0631\u062f\u06cc\u0641 \u0647\u0627\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0627\u0634\u062f \u0631\u0648\u06cc \u0633\u0645\u062a \u0631\u0627\u0633\u062a \u0645\u062d\u0635\u0648\u0644  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0627\u06af\u0631 \u0645\u0627\u062a\u0631\u06cc\u0633 X \u062f\u0627\u0631\u0627\u06cc \u0627\u0628\u0639\u0627\u062f (3\u060c4) \u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 Y \u062f\u06cc\u06af\u0631 \u062f\u0627\u0631\u0627\u06cc \u0627\u0628\u0639\u0627\u062f (4\u060c2) \u0628\u0627\u0634\u062f\u060c \u0645\u0627\u062a\u0631\u06cc\u0633 \u0647\u0627\u06cc X \u0648 Y \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0627 \u0647\u0645 \u0636\u0631\u0628 \u06a9\u0631\u062f.  \u0645\u0627\u062a\u0631\u06cc\u0633 \u062d\u0627\u0635\u0644 \u062f\u0627\u0631\u0627\u06cc \u0627\u0628\u0639\u0627\u062f (3\u060c2) \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f \u06a9\u0647 \u0627\u0646\u062f\u0627\u0632\u0647 \u0627\u0628\u0639\u0627\u062f \u0628\u06cc\u0631\u0648\u0646\u06cc \u0627\u0633\u062a.<\/p>\n<p>\u0628\u0631\u0627\u06cc \u0636\u0631\u0628 \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633\u060c <code>dot<\/code> \u062a\u0627\u0628\u0639 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0645\u0637\u0627\u0628\u0642 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f:<\/p>\n<pre><code class=\"hljs\">X = np.array(((<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">2<\/span>,<span class=\"hljs-number\">3<\/span>), (<span class=\"hljs-number\">4<\/span>,<span class=\"hljs-number\">5<\/span>,<span class=\"hljs-number\">6<\/span>)))\n\nY = np.array(((<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">2<\/span>), (<span class=\"hljs-number\">4<\/span>,<span class=\"hljs-number\">5<\/span>), (<span class=\"hljs-number\">7<\/span>,<span class=\"hljs-number\">8<\/span>)))\n\nZ = np.dot(X, Y)\n\n<span class=\"hljs-built_in\">print<\/span>(Z)\n<\/code><\/pre>\n<p>\u062f\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 3&#215;2 \u0628\u0627 \u0646\u0627\u0645 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0631\u062f\u06cc\u0645 <code>X<\/code> \u0648 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 2&#215;3 \u0628\u0647 \u0646\u0627\u0645 <code>Y<\/code>.  \u0633\u067e\u0633 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0646\u0642\u0637\u0647 \u0627\u06cc \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0647 \u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 \u062d\u0627\u0635\u0644 \u0631\u0627 \u0628\u0647 \u0645\u062a\u063a\u06cc\u0631 \u0627\u062e\u062a\u0635\u0627\u0635 \u0645\u06cc \u062f\u0647\u06cc\u0645 <code>Z<\/code>.  \u0628\u0627\u0644\u0627\u062e\u0631\u0647 \u0645\u0627 print \u0645\u0627\u062a\u0631\u06cc\u0633 \u062d\u0627\u0635\u0644 \u0628\u0647 console.  \u062f\u0631 \u062e\u0631\u0648\u062c\u06cc \u0628\u0627\u06cc\u062f \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 2&#215;2 \u0631\u0627 \u0645\u0637\u0627\u0628\u0642 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0645\u0634\u0627\u0647\u062f\u0647 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">((30 36)\n (66 81))\n<\/code><\/pre>\n<p>\u0647\u0645\u0686\u0646\u06cc\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0631\u0627 \u0627\u0632 \u0646\u0638\u0631 \u0639\u0646\u0635\u0631 \u0636\u0631\u0628 \u06a9\u0646\u06cc\u062f.  \u0628\u0631\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u0627\u06cc\u0646 \u06a9\u0627\u0631\u060c \u0627\u0628\u0639\u0627\u062f \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0627\u06cc\u062f \u0645\u0637\u0627\u0628\u0642\u062a \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f\u060c \u062f\u0631\u0633\u062a \u0645\u0627\u0646\u0646\u062f \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627 \u0631\u0627 \u0628\u0627 \u0647\u0645 \u0627\u0636\u0627\u0641\u0647 \u0645\u06cc \u06a9\u0631\u062f\u06cc\u0645.  \u0631\u0627 <code>multiply<\/code> \u062a\u0627\u0628\u0639 \u0628\u0631\u0627\u06cc \u0636\u0631\u0628 \u0639\u0646\u0635\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0633\u0639\u06cc \u06a9\u0646\u06cc\u0645 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0647\u0627 \u0631\u0627 \u0636\u0631\u0628 \u06a9\u0646\u06cc\u0645 <code>X<\/code> \u0648 <code>Y<\/code> \u0627\u0632 \u0646\u0638\u0631 \u0639\u0646\u0635\u0631:<\/p>\n<pre><code class=\"hljs\">Z = np.multiply(X, Y)\n<\/code><\/pre>\n<p>\u0647\u0646\u06af\u0627\u0645 \u0627\u062c\u0631\u0627\u06cc \u06a9\u062f \u0628\u0627\u0644\u0627\u060c \u062e\u0637\u0627\u06cc \u0632\u06cc\u0631 \u0631\u062e \u0645\u06cc \u062f\u0647\u062f:<\/p>\n<pre><code class=\"hljs\">ValueError: operands could not be broadcast together with shapes (2,3) (3,2)\n<\/code><\/pre>\n<p>\u062e\u0637\u0627 \u0628\u0647 \u062f\u0644\u06cc\u0644 \u0639\u062f\u0645 \u062a\u0637\u0627\u0628\u0642 \u0628\u06cc\u0646 \u0627\u0628\u0639\u0627\u062f \u0631\u062e \u0645\u06cc \u062f\u0647\u062f <code>X<\/code> \u0648 <code>Y<\/code> \u0645\u0627\u062a\u0631\u06cc\u0633 \u0647\u0627  \u062d\u0627\u0644\u0627 \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0636\u0631\u0628 \u0631\u0627 \u0627\u0645\u062a\u062d\u0627\u0646 \u06a9\u0646\u06cc\u0645 <code>X<\/code> \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0627 \u062e\u0648\u062f \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 <code>multiply<\/code> \u062a\u0627\u0628\u0639:<\/p>\n<pre><code class=\"hljs\">Z = np.multiply(X, X)\n<\/code><\/pre>\n<p>\u062d\u0627\u0644\u0627 \u0627\u06af\u0631 \u0634\u0645\u0627 print \u0631\u0627 <code>Z<\/code> \u0645\u0627\u062a\u0631\u06cc\u0633\u060c \u0634\u0645\u0627 \u0628\u0627\u06cc\u062f \u0646\u062a\u06cc\u062c\u0647 \u0632\u06cc\u0631 \u0631\u0627 \u0628\u0628\u06cc\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">(( 1  4  9)\n (16 25 36))\n<\/code><\/pre>\n<p>\u0631\u0627 <code>X<\/code> \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u0627 \u0645\u0648\u0641\u0642\u06cc\u062a \u062a\u0648\u0627\u0646\u0633\u062a \u0628\u0627 \u062e\u0648\u062f\u0634 \u0636\u0631\u0628 \u06a9\u0646\u062f \u0632\u06cc\u0631\u0627 \u0627\u0628\u0639\u0627\u062f \u0645\u0627\u062a\u0631\u06cc\u0633 \u0647\u0627\u06cc \u0636\u0631\u0628 \u0634\u062f\u0647 \u0645\u0637\u0627\u0628\u0642\u062a \u062f\u0627\u0634\u062a\u0646\u062f.<\/p>\n<h4 id=\"findingtheinverseofamatrix\">\u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u0645\u0639\u06a9\u0648\u0633 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633<\/h4>\n<p>\u06cc\u06a9\u06cc \u062f\u06cc\u06af\u0631 \u0627\u0632 \u0639\u0645\u0644\u06cc\u0627\u062a \u0628\u0633\u06cc\u0627\u0631 \u0645\u0641\u06cc\u062f \u0645\u0627\u062a\u0631\u06cc\u0633\u060c \u06cc\u0627\u0641\u062a\u0646 \u0645\u0639\u06a9\u0648\u0633 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0633\u062a.  \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u0634\u0627\u0645\u0644 <code>\u00ecnv<\/code> \u0639\u0645\u0644\u06a9\u0631\u062f \u062f\u0631 <code>linalg<\/code> \u0645\u062f\u0648\u0644.<\/p>\n<p>\u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644\u060c \u0627\u062c\u0627\u0632\u0647 \u062f\u0647\u06cc\u062f \u0645\u0639\u06a9\u0648\u0633 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 2&#215;2 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645.  \u0628\u0647 \u06a9\u062f \u0632\u06cc\u0631 \u062f\u0642\u062a \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">Y = np.array(((<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">2<\/span>), (<span class=\"hljs-number\">3<\/span>,<span class=\"hljs-number\">4<\/span>)))\nZ = np.linalg.inv(Y)\n<span class=\"hljs-built_in\">print<\/span>(Z)\n<\/code><\/pre>\n<p>\u062e\u0631\u0648\u062c\u06cc \u06a9\u062f \u0628\u0627\u0644\u0627 \u0628\u0647 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">((-2.   1. )\n ( 1.5 -0.5))\n<\/code><\/pre>\n<p>\u062d\u0627\u0644 \u0628\u0631\u0627\u06cc \u0628\u0631\u0631\u0633\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u0622\u06cc\u0627 \u0645\u0639\u06a9\u0648\u0633 \u0628\u0647 \u062f\u0631\u0633\u062a\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0646\u0642\u0637\u0647 \u0627\u06cc \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0631\u0627 \u0628\u0627 \u0645\u0639\u06a9\u0648\u0633 \u0622\u0646 \u0628\u06af\u06cc\u0631\u06cc\u0645 \u06a9\u0647 \u0628\u0627\u06cc\u062f \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0647\u0648\u06cc\u062a \u0628\u0647 \u062f\u0633\u062a \u0622\u0648\u0631\u062f.<\/p>\n<pre><code class=\"hljs\">W = Y.dot(Z)\n<span class=\"hljs-built_in\">print<\/span>(W)\n<\/code><\/pre>\n<pre><code class=\"hljs\">((1.00000000e+00 1.11022302e-16)\n (0.00000000e+00 1.00000000e+00))\n<\/code><\/pre>\n<p>\u0648 \u0646\u062a\u06cc\u062c\u0647 \u0647\u0645\u0627\u0646 \u0634\u062f \u06a9\u0647 \u0627\u0646\u062a\u0638\u0627\u0631 \u062f\u0627\u0634\u062a\u06cc\u0645.  \u06cc\u06a9\u06cc \u062f\u0631 \u0645\u0648\u0631\u0628 \u0648 \u0635\u0641\u0631 (\u06cc\u0627 \u062e\u06cc\u0644\u06cc \u0646\u0632\u062f\u06cc\u06a9 \u0628\u0647 \u0635\u0641\u0631) \u062f\u0631 \u062c\u0627\u06cc \u062f\u06cc\u06af\u0631.<\/p>\n<h4 id=\"findingthedeterminantofamatrix\">\u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u062a\u0639\u06cc\u06cc\u0646 \u06a9\u0646\u0646\u062f\u0647 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633<\/h4>\n<p>\u0631\u0627 <a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/en.wikipedia.org\/wiki\/Determinant\">\u062a\u0639\u06cc\u06cc\u0646 \u06a9\u0646\u0646\u062f\u0647<\/a> \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 <code>det<\/code> \u0631\u0648\u0634\u06cc \u06a9\u0647 \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<pre><code class=\"hljs\">X = np.array(((<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">2<\/span>,<span class=\"hljs-number\">3<\/span>), (<span class=\"hljs-number\">4<\/span>,<span class=\"hljs-number\">5<\/span>,<span class=\"hljs-number\">6<\/span>), (<span class=\"hljs-number\">7<\/span>,<span class=\"hljs-number\">8<\/span>,<span class=\"hljs-number\">9<\/span>)))\n\nZ = np.linalg.det(X)\n\n<span class=\"hljs-built_in\">print<\/span>(Z)\n<\/code><\/pre>\n<p>\u062f\u0631 \u0627\u0633\u06a9\u0631\u06cc\u067e\u062a \u0628\u0627\u0644\u0627\u060c \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 3&#215;3 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0631\u062f\u06cc\u0645 \u0648 \u062a\u0639\u06cc\u06cc\u0646 \u06a9\u0646\u0646\u062f\u0647 \u0622\u0646 \u0631\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 <code>det<\/code> \u0631\u0648\u0634.  \u062f\u0631 \u062e\u0631\u0648\u062c\u06cc \u0628\u0627\u06cc\u062f &#8220;6.66133814775094e-16&#8221; \u0631\u0627 \u0645\u0634\u0627\u0647\u062f\u0647 \u06a9\u0646\u06cc\u062f.<\/p>\n<h4 id=\"findingthetraceofamatrix\">\u06cc\u0627\u0641\u062a\u0646 \u0631\u062f\u06cc \u0627\u0632 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633<\/h4>\n<p>\u0631\u062f\u06cc\u0627\u0628\u06cc \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0645\u062c\u0645\u0648\u0639 \u062a\u0645\u0627\u0645 \u0639\u0646\u0627\u0635\u0631 \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0642\u0637\u0631 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0633\u062a.  \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u0634\u0627\u0645\u0644 \u06cc\u06a9 <code>trace<\/code> \u062a\u0627\u0628\u0639\u06cc \u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0628\u0631\u0627\u06cc \u06cc\u0627\u0641\u062a\u0646 \u0631\u062f\u06cc \u0627\u0632 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u0648\u062f.  \u0628\u0647 \u0645\u062b\u0627\u0644 \u0632\u06cc\u0631 \u0646\u06af\u0627\u0647 \u06a9\u0646\u06cc\u062f:<\/p>\n<pre><code class=\"hljs\">X = np.array(((<span class=\"hljs-number\">1<\/span>,<span class=\"hljs-number\">2<\/span>,<span class=\"hljs-number\">3<\/span>), (<span class=\"hljs-number\">4<\/span>,<span class=\"hljs-number\">5<\/span>,<span class=\"hljs-number\">6<\/span>), (<span class=\"hljs-number\">7<\/span>,<span class=\"hljs-number\">8<\/span>,<span class=\"hljs-number\">9<\/span>)))\n\nZ = np.trace(X)\n\n<span class=\"hljs-built_in\">print<\/span>(Z)\n<\/code><\/pre>\n<p>\u062f\u0631 \u062e\u0631\u0648\u062c\u06cc\u060c \u0628\u0627\u06cc\u062f &#8220;15&#8221; \u0631\u0627 \u0628\u0628\u06cc\u0646\u06cc\u062f\u060c \u0632\u06cc\u0631\u0627 \u0645\u062c\u0645\u0648\u0639 \u0639\u0646\u0627\u0635\u0631 \u0645\u0648\u0631\u0628 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0633\u062a <code>X<\/code> \u0627\u0633\u062a <code>1 + 5 + 9 = 15<\/code>.<\/p>\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>\u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u067e\u0627\u06cc\u062a\u0648\u0646 \u06cc\u06a9\u06cc \u0627\u0632 \u0645\u062d\u0628\u0648\u0628 \u062a\u0631\u06cc\u0646 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 \u0647\u0627 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0639\u062f\u062f\u06cc \u0627\u0633\u062a.  \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u0631\u0627 \u0628\u0627 \u06a9\u0645\u06a9 \u0686\u0646\u062f\u06cc\u0646 \u0645\u062b\u0627\u0644 \u0628\u0647 \u062a\u0641\u0635\u06cc\u0644 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0631\u062f\u06cc\u0645.  \u0645\u0627 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u06cc\u0645 \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0639\u0645\u0644\u06cc\u0627\u062a \u062c\u0628\u0631 \u062e\u0637\u06cc \u0645\u062e\u062a\u0644\u0641 \u0631\u0627 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u0645\u060c \u06a9\u0647 \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u062f\u0631 \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u0639\u0644\u0648\u0645 \u062f\u0627\u062f\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<p>\u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 \u0645\u0627 \u0645\u0642\u062f\u0627\u0631 \u0632\u06cc\u0627\u062f\u06cc \u0627\u0632 \u0639\u0645\u0644\u06a9\u0631\u062f \u0627\u0635\u0644\u06cc NumPy \u0631\u0627 \u067e\u0648\u0634\u0634 \u062f\u0627\u062f\u06cc\u0645\u060c \u0647\u0646\u0648\u0632 \u0686\u06cc\u0632\u0647\u0627\u06cc \u0632\u06cc\u0627\u062f\u06cc \u0628\u0631\u0627\u06cc \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.  \u062f\u0648\u0631\u0647 \u0647\u0627\u06cc \u0632\u06cc\u0627\u062f\u06cc \u062f\u0631 \u0622\u0646\u062c\u0627 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u06a9\u0647 NumPy\u060c Pandas\u060c Scikit-Learn\u060c \u0648 Matplotlib \u0631\u0627 \u0628\u0633\u06cc\u0627\u0631 \u0639\u0645\u06cc\u0642 \u062a\u0631 \u0627\u0632 \u0622\u0646\u0686\u0647 \u0645\u0627 \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u067e\u0648\u0634\u0634 \u0645\u06cc \u062f\u0647\u06cc\u0645\u060c \u067e\u0648\u0634\u0634 \u0645\u06cc \u062f\u0647\u0646\u062f.  \u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u0645\u06cc\u200c\u06a9\u0646\u0645 \u0628\u0647 \u0648\u0628\u200c\u0633\u0627\u06cc\u062a \u062f\u0648\u0631\u0647\u200c\u0647\u0627\u06cc \u0645\u062d\u0628\u0648\u0628 \u06cc\u0627 \u062d\u062a\u06cc YouTube \u0646\u06af\u0627\u0647\u06cc \u0628\u06cc\u0646\u062f\u0627\u0632\u06cc\u062f\u060c \u0648 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u064b \u06cc\u06a9 \u0645\u0646\u0628\u0639 \u062e\u0648\u0628 \u067e\u06cc\u062f\u0627 \u062e\u0648\u0627\u0647\u06cc\u062f \u06a9\u0631\u062f.<\/p>\n<p>\u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u0645\u06cc \u06a9\u0646\u0645 \u0646\u0645\u0648\u0646\u0647 \u0647\u0627\u06cc \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0631\u0627 \u062a\u0645\u0631\u06cc\u0646 \u06a9\u0646\u06cc\u062f.  \u0627\u06af\u0631 \u0642\u0635\u062f \u062f\u0627\u0631\u06cc\u062f \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u062f\u0627\u0646\u0634\u0645\u0646\u062f \u062f\u0627\u062f\u0647 \u0634\u063a\u0644\u06cc \u0631\u0627 \u0634\u0631\u0648\u0639 \u06a9\u0646\u06cc\u062f\u060c \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 NumPy \u0642\u0637\u0639\u0627 \u06cc\u06a9\u06cc \u0627\u0632 \u0627\u0628\u0632\u0627\u0631\u0647\u0627\u06cc\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0628\u0627\u06cc\u062f \u0628\u0631\u0627\u06cc \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0622\u0646 \u0646\u06cc\u0627\u0632 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f \u062a\u0627 \u0639\u0636\u0648\u06cc \u0645\u0648\u0641\u0642 \u0648 \u0633\u0627\u0632\u0646\u062f\u0647 \u062f\u0631 \u0627\u06cc\u0646 \u0632\u0645\u06cc\u0646\u0647 \u0628\u0627\u0634\u06cc\u062f.<\/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 1403-01-27 04:42:06<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;16571&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;\u0622\u0645\u0648\u0632\u0634 NumPy: \u06cc\u06a9 \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u0633\u0627\u062f\u0647 \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u0645\u062b\u0627\u0644&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        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\u0645\u062d\u0628\u0648\u0628 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0647\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0639\u0644\u0645\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u0648 \u0645\u062e\u0641\u0641 \u0639\u0628\u0627\u0631\u062a Numerical Python \u0627\u0633\u062a. \u0639\u0645\u0644\u06cc\u0627\u062a NumPy \u0628\u0647 \u0633\u0647 \u062f\u0633\u062a\u0647 \u0627\u0635\u0644\u06cc \u062a\u0642\u0633\u06cc\u0645 \u0645\u06cc \u0634\u0648\u062f: \u062a\u0628\u062f\u06cc\u0644 \u0641\u0648\u0631\u06cc\u0647 \u0648 \u062f\u0633\u062a\u06a9\u0627\u0631\u06cc \u0634\u06a9\u0644\u060c \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u06cc\u0627\u0636\u06cc \u0648 \u0645\u0646\u0637\u0642\u06cc\u060c \u0648 \u062c\u0628\u0631 \u062e\u0637\u06cc \u0648 \u062a\u0648\u0644\u06cc\u062f \u0627\u0639\u062f\u0627\u062f \u062a\u0635\u0627\u062f\u0641\u06cc. \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u0622\u0646 \u0631\u0627 \u0647\u0631 \u0686\u0647 \u0633\u0631\u06cc\u0639\u062a\u0631 \u0627\u0646\u062c\u0627\u0645 [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":16572,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1743,620],"tags":[],"class_list":["post-16571","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-python","category-programming"],"acf":[],"_links":{"self":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/posts\/16571","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\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/comments?post=16571"}],"version-history":[{"count":0,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/posts\/16571\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/media\/16572"}],"wp:attachment":[{"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/media?parent=16571"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/categories?post=16571"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/rasanegaar.com\/blog\/wp-json\/wp\/v2\/tags?post=16571"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}