{"id":31154,"date":"2026-10-20T19:37:47","date_gmt":"2026-10-20T19:37:47","guid":{"rendered":"https:\/\/umang.pk\/2026\/10\/20\/%d9%86%db%8c%d9%88%d8%b1%d9%84-%d9%86%db%8c%d9%b9-%d9%88%d8%b1%da%a9-%da%a9%db%8c%d8%b3%db%92-%da%a9%d8%a7%d9%85-%da%a9%d8%b1%d8%aa%db%92-%db%81%db%8c%da%ba-%d8%b3%db%8c%d8%af%da%be%db%8c-%d9%84\/"},"modified":"2026-10-20T19:37:49","modified_gmt":"2026-10-20T19:37:49","slug":"%d9%86%db%8c%d9%88%d8%b1%d9%84-%d9%86%db%8c%d9%b9-%d9%88%d8%b1%da%a9-%da%a9%db%8c%d8%b3%db%92-%da%a9%d8%a7%d9%85-%da%a9%d8%b1%d8%aa%db%92-%db%81%db%8c%da%ba-%d8%b3%db%8c%d8%af%da%be%db%8c-%d9%84","status":"publish","type":"post","link":"https:\/\/umang.pk\/en_us\/2026\/10\/20\/%d9%86%db%8c%d9%88%d8%b1%d9%84-%d9%86%db%8c%d9%b9-%d9%88%d8%b1%da%a9-%da%a9%db%8c%d8%b3%db%92-%da%a9%d8%a7%d9%85-%da%a9%d8%b1%d8%aa%db%92-%db%81%db%8c%da%ba-%d8%b3%db%8c%d8%af%da%be%db%8c-%d9%84\/","title":{"rendered":"\u0646\u06cc\u0648\u0631\u0644 \u0646\u06cc\u0679 \u0648\u0631\u06a9 \u06a9\u06cc\u0633\u06d2 \u06a9\u0627\u0645 \u06a9\u0631\u062a\u06d2 \u06c1\u06cc\u06ba: \u0633\u06cc\u062f\u06be\u06cc \u0644\u0627\u0626\u0646\u06cc\u06ba \u06a9\u06cc\u0648\u06ba \u06a9\u0627\u0641\u06cc \u0646\u06c1\u06cc\u06ba \u06c1\u06cc\u06ba\u06d4"},"content":{"rendered":"<div id=\"\">\n<p>\u0639\u0635\u0628\u06cc \u0646\u06cc\u0679 \u0648\u0631\u06a9\u0633 \u06a9\u06d2 \u06a9\u0627\u0645 \u06a9\u0631\u0646\u06d2 \u06a9\u06d2 \u0637\u0631\u06cc\u0642\u06d2 \u06a9\u0648 \u0633\u0645\u062c\u06be\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0633\u06cc\u062f\u06be\u06cc \u0644\u0627\u0626\u0646 \u0645\u0633\u0627\u0648\u0627\u062a \u0627\u06cc\u06a9 \u0627\u0686\u06be\u06cc \u062c\u06af\u06c1 \u06c1\u06d2\u06d4 \u06cc\u06c1 \u0648\u06c1 \u0686\u06cc\u0632 \u06c1\u06d2 \u062c\u0633\u06d2 \u06c1\u0645 \u0646\u06d2 \u067e\u0686\u06be\u0644\u06d2 \u0645\u0636\u0645\u0648\u0646 \u0645\u06cc\u06ba \u062f\u06cc\u06a9\u06be\u0627 \u062a\u06be\u0627\u060c \u0646\u06cc\u0648\u0631\u0644 \u0646\u06cc\u0679 \u0648\u0631\u06a9 \u06a9\u06cc\u0633\u06d2 \u06a9\u0627\u0645 \u06a9\u0631\u062a\u06d2 \u06c1\u06cc\u06ba &#8211; \u0644\u0627\u0626\u0646 \u0645\u0633\u0627\u0648\u0627\u062a (y=ax+b) \u06a9\u0627 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u062a\u06d2 \u06c1\u0648\u0626\u06d2 \u0648\u0636\u0627\u062d\u062a \u06a9\u06cc \u06af\u0626\u06cc \u06c1\u06d2\u06d4<\/p>\n<p>\u0644\u06cc\u06a9\u0646 \u0627\u0646 \u067e\u0679 \u0627\u0648\u0631 \u0622\u0624\u0679 \u067e\u0679 \u06a9\u06d2 \u062f\u0631\u0645\u06cc\u0627\u0646 \u06a9\u06cc\u0627 \u062a\u0639\u0644\u0642 \u06c1\u06d2\u061f <strong>\u06a9\u06cc\u0627 \u06cc\u06c1 \u0644\u06a9\u06cc\u0631\u06cc \u0646\u06c1\u06cc\u06ba \u06c1\u06d2\u061f<\/strong><\/p>\n<p>\u06c1\u0645 \u0633\u0628 \u062c\u0627\u0646\u062a\u06d2 \u06c1\u06cc\u06ba \u06a9\u06c1 \u062d\u0642\u06cc\u0642\u06cc \u062f\u0646\u06cc\u0627 \u0645\u06cc\u06ba\u060c \u0688\u06cc\u0679\u0627 \u06c1\u0645\u06cc\u0634\u06c1 \u0644\u06a9\u06cc\u0631\u06cc \u0646\u0645\u0648\u0646\u0648\u06ba \u06a9\u06cc \u067e\u06cc\u0631\u0648\u06cc \u0646\u06c1\u06cc\u06ba \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4 \u06cc\u06c1\u06cc\u06ba \u0633\u06d2 \u0686\u06cc\u0632\u06cc\u06ba \u062f\u0644\u0686\u0633\u067e \u06c1\u0648\u0646\u06d2 \u0644\u06af\u062a\u06cc \u06c1\u06cc\u06ba\u06d4 \u0628\u0639\u0636 \u0627\u0648\u0642\u0627\u062a \u0635\u0631\u0641 \u0627\u06cc\u06a9 \u06c1\u06cc \u0627\u0635\u0648\u0644 \u0645\u062a\u063a\u06cc\u0631 \u06a9\u06d2 \u062f\u0631\u0645\u06cc\u0627\u0646 \u062a\u0639\u0644\u0642 \u06a9\u0648 \u0628\u06cc\u0627\u0646 \u06a9\u0631\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u06a9\u0627\u0641\u06cc \u0646\u06c1\u06cc\u06ba \u06c1\u0648\u062a\u0627\u06d4<\/p>\n<p>\u06cc\u06c1 \u0648\u06c1 \u062c\u06af\u06c1 \u06c1\u06d2 \u062c\u06c1\u0627\u06ba \u063a\u06cc\u0631 \u062e\u0637\u06cc \u067e\u0646 \u06a9\u06be\u06cc\u0644 \u0645\u06cc\u06ba \u0622\u062a\u0627 \u06c1\u06d2\u06d4 \u06cc\u06c1 \u0646\u06cc\u0648\u0631\u0644 \u0646\u06cc\u0679 \u0648\u0631\u06a9 \u06a9\u0648 \u0688\u06cc\u0679\u0627 \u06a9\u06d2 \u0628\u062f\u0644\u062a\u06d2 \u06c1\u0648\u0626\u06d2 \u0631\u0648\u06cc\u06d2 \u06a9\u0648 \u067e\u06a9\u0691\u0646\u06d2 \u06a9\u06cc \u0627\u062c\u0627\u0632\u062a \u062f\u06cc\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<p>\u0627\u0633 \u0645\u0636\u0645\u0648\u0646 \u0645\u06cc\u06ba\u060c \u06c1\u0645 \u0646\u0627\u0646 \u0644\u0627\u0626\u0646\u06cc\u0631\u0679\u06cc \u06a9\u06d2 \u062a\u0635\u0648\u0631 \u06a9\u0648 \u062a\u0644\u0627\u0634 \u06a9\u0631\u06cc\u06ba \u06af\u06d2\u060c \u062c\u0648 \u0688\u06cc\u0679\u0627 \u0645\u06cc\u06ba \u067e\u06cc\u0686\u06cc\u062f\u06c1 \u062a\u0639\u0644\u0642\u0627\u062a \u06a9\u0648 \u062d\u0627\u0635\u0644 \u06a9\u0631 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u06d4 \u0622\u0626\u06cc\u06d2 \u0679\u06a9\u0691\u0627 \u0648\u0627\u0631 \u0644\u06a9\u06cc\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u062e\u0637\u0648\u0637\u060c ReLU \u0641\u0646\u06a9\u0634\u0646\u0632\u060c \u0633\u06af\u0645\u0627\u0626\u06cc\u0688 \u06a9\u0631\u0648\u0632\u060c \u0627\u0648\u0631 \u0633\u06af\u0645\u0627\u0626\u06cc\u0688 \u0641\u0646\u06a9\u0634\u0646\u0632 \u06a9\u0648 \u0633\u0645\u062c\u06be\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0633\u0627\u062f\u06c1 \u0645\u062b\u0627\u0644\u06cc\u06ba \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u06cc\u06ba\u060c \u0627\u0648\u0631 \u062f\u06cc\u06a9\u06be\u06cc\u06ba \u06a9\u06c1 \u0648\u06c1 \u06a9\u0633 \u0637\u0631\u062d \u0639\u0635\u0628\u06cc \u0646\u06cc\u0679 \u0648\u0631\u06a9\u0633 \u06a9\u0648 \u0627\u06cc\u0633\u06d2 \u0646\u0645\u0648\u0646\u0648\u06ba \u06a9\u0648 \u0633\u06cc\u06a9\u06be\u0646\u06d2 \u0645\u06cc\u06ba \u0645\u062f\u062f \u06a9\u0631\u062a\u06d2 \u06c1\u06cc\u06ba \u062c\u0646\u06c1\u06cc\u06ba \u0633\u06cc\u062f\u06be\u06cc \u0644\u06a9\u06cc\u0631\u06cc\u06ba \u0628\u06cc\u0627\u0646 \u0646\u06c1\u06cc\u06ba \u06a9\u0631\u0633\u06a9\u062a\u06cc\u06ba\u06d4<\/p>\n<h2 id=\"heading-table-of-contents\">\u0627\u0646\u0688\u06cc\u06a9\u0633<\/h2>\n<h2 id=\"heading-prerequisites\">\u0634\u0631\u0627\u0626\u0637<\/h2>\n<h2 id=\"heading-when-a-straight-line-is-enough\">\u062c\u0628 \u0633\u06cc\u062f\u06be\u06cc \u0644\u06a9\u06cc\u0631\u06cc\u06ba \u06a9\u0627\u0641\u06cc \u06c1\u0648\u06ba\u06d4<\/h2>\n<p>\u0627\u06cc\u06a9 \u0633\u06cc\u062f\u06be\u06cc \u0644\u0627\u0626\u0646 \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u0627 \u0645\u0637\u0644\u0628 \u06c1\u06d2 \u06a9\u06c1 \u0627\u06cc\u06a9 \u06c1\u06cc \u0627\u0635\u0648\u0644 \u067e\u0648\u0631\u06d2 \u0631\u0634\u062a\u06d2 \u0645\u06cc\u06ba \u0644\u0627\u06af\u0648 \u06c1\u0648\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<p>y = \u06a9\u0644\u06c1\u0627\u0691\u06cc + b<\/p>\n<pre><code class=\"language-plaintext\">y => Output variable\nx => Input variable\na => Amount by which y changes when x changes (slope)\nb => Value of y when x is 0 (y intercept)\n<\/code><\/pre>\n<p>\u0627\u06cc\u06a9 \u0645\u062b\u0627\u0644 \u0622\u067e \u06a9\u0648 \u0628\u06c1\u062a\u0631 \u0637\u0648\u0631 \u067e\u0631 \u0633\u0645\u062c\u06be\u0646\u06d2 \u0645\u06cc\u06ba \u0645\u062f\u062f \u062f\u06d2 \u06af\u06cc\u06d4<\/p>\n<p>\u0645\u062d\u062a\u0631\u0645\u06c1 \u067e\u0648\u0644\u06cc \u0627\u06cc\u06a9 \u0631\u06cc\u0627\u0636\u06cc \u06a9\u06cc \u0627\u0633\u062a\u0627\u062f \u06c1\u06cc\u06ba \u062c\u0648 \u0627\u067e\u0646\u06d2 \u0637\u0644\u0628\u0627\u0621 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u06d2 \u0645\u0646\u0635\u0648\u0628\u06d2 \u0628\u0646\u0627\u0646\u0627 \u0686\u0627\u06c1\u062a\u06cc \u06c1\u06cc\u06ba \u062a\u0627\u06a9\u06c1 \u0627\u0646 \u06a9\u06d2 \u0622\u062e\u0631\u06cc \u0627\u0645\u062a\u062d\u0627\u0646\u0627\u062a \u0645\u06cc\u06ba \u0627\u0686\u06be\u06cc \u06a9\u0627\u0631\u06a9\u0631\u062f\u06af\u06cc \u062f\u06a9\u06be\u0627\u0646\u06d2 \u0645\u06cc\u06ba \u0627\u0646 \u06a9\u06cc \u0645\u062f\u062f \u06a9\u06cc \u062c\u0627 \u0633\u06a9\u06d2\u06d4 \u0648\u06c1 \u0627\u06cc\u06a9 \u0639\u0646\u0635\u0631 \u06a9\u0627 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u062a\u06cc \u06c1\u06d2: \u0627\u0646\u06af\u0648\u0679\u06be\u06d2 \u06a9\u0627 \u0627\u0635\u0648\u0644 \u0628\u0646\u0627\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0641\u06cc \u06c1\u0641\u062a\u06c1 \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u06d2 \u0627\u0648\u0642\u0627\u062a\u06d4 \u062f\u0648\u0633\u0631\u06d2 \u0644\u0641\u0638\u0648\u06ba \u0645\u06cc\u06ba\u060c \u0627\u06cc\u06a9 \u0637\u0627\u0644\u0628 \u0639\u0644\u0645 \u06a9\u0648 \u062d\u0627\u0635\u0644 \u06a9\u0631\u062f\u06c1 \u0627\u0633\u06a9\u0648\u0631 \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u06d2 \u0648\u0642\u062a \u06a9\u06d2 \u0628\u0631\u0627\u06c1 \u0631\u0627\u0633\u062a \u0645\u062a\u0646\u0627\u0633\u0628 \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<p>\u0627\u067e\u0646\u06d2 \u0645\u0641\u0631\u0648\u0636\u0648\u06ba \u06a9\u06cc \u0628\u0646\u06cc\u0627\u062f \u067e\u0631\u060c \u0648\u06c1 \u0641\u0627\u0631\u0645 y=ax+b \u06a9\u06cc \u0627\u06cc\u06a9 \u0645\u0633\u0627\u0648\u0627\u062a \u0644\u06d2 \u06a9\u0631 \u0622\u0626\u06cc\u06d4<\/p>\n<pre><code class=\"language-plaintext\">y => Marks scored\nx => Number of hours studied\na => Increase in marks for every hour studied\nb => Minimum marks every student is capable of scoring without studying.\n<\/code><\/pre>\n<p>\u0627\u0633 \u0644\u06cc\u06d2 \u0633\u06c1 \u0645\u0627\u06c1\u06cc \u0627\u0645\u062a\u062d\u0627\u0646\u0627\u062a \u06a9\u06d2 \u0628\u0639\u062f\u060c \u0648\u06c1 \u0637\u0644\u0628\u06c1 \u06a9\u0627 \u0627\u0646\u0679\u0631\u0648\u06cc\u0648 \u06a9\u0631\u062a\u06cc \u06c1\u06d2 \u0627\u0648\u0631 \u0627\u0633 \u0628\u0627\u0631\u06d2 \u0645\u06cc\u06ba \u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0627\u06a9\u0679\u06be\u06cc \u06a9\u0631\u062a\u06cc \u06c1\u06d2 \u06a9\u06c1 \u0627\u0646\u06be\u0648\u06ba \u0646\u06d2 \u06c1\u0641\u062a\u06d2 \u0645\u06cc\u06ba \u06a9\u062a\u0646\u06d2 \u06af\u06be\u0646\u0679\u06d2 \u0631\u06cc\u0627\u0636\u06cc \u06a9\u0627 \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u06cc\u0627\u06d4 \u0648\u06c1 \u062f\u0648 \u06a9\u0627\u0644\u0645\u0648\u06ba \u06a9\u06d2 \u0633\u0627\u062a\u06be \u0627\u06cc\u06a9 \u0679\u06cc\u0628\u0644 \u0628\u0646\u0627\u062a\u06cc \u0627\u0648\u0631 \u062f\u06a9\u06be\u0627\u062a\u06cc \u06c1\u06d2: \u0641\u06cc \u06c1\u0641\u062a\u06c1 \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u06cc\u06d2 \u06af\u0626\u06d2 \u06af\u06be\u0646\u0679\u06d2 (x) \u0627\u0648\u0631 \u0627\u0633\u06a9\u0648\u0631 (y)\u06d4<\/p>\n<table>\n<thead>\n<tr>\n<th>\u0648\u0642\u062a \u06a9\u0627 \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u06cc\u0627<\/th>\n<th>\u0633\u06a9\u0648\u0631 \u0633\u06a9\u0648\u0631<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>40<\/td>\n<\/tr>\n<tr>\n<td>1<\/td>\n<td>40<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td>41<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>40<\/td>\n<\/tr>\n<tr>\n<td>4<\/td>\n<td>48<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>58<\/td>\n<\/tr>\n<tr>\n<td>6<\/td>\n<td>69<\/td>\n<\/tr>\n<tr>\n<td>7<\/td>\n<td>80<\/td>\n<\/tr>\n<tr>\n<td>8<\/td>\n<td>80<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u0644\u06cc\u06a9\u0646 \u062c\u0628 \u0648\u06c1 \u0627\u067e\u0646\u06d2 \u0633\u0627\u062f\u06c1 \u0641\u0627\u0631\u0645\u0648\u0644\u06d2 \u06a9\u0648 \u0644\u0627\u06af\u0648 \u06a9\u0631\u0646\u06d2 \u06a9\u06cc \u06a9\u0648\u0634\u0634 \u06a9\u0631\u062a\u06cc \u06c1\u06d2\u060c \u062a\u0648 \u0627\u06cc\u0633\u0627 \u0644\u06af\u062a\u0627 \u06c1\u06d2 \u06a9\u06c1 \u0627\u0633 \u06a9\u06d2 \u062c\u0645\u0639 \u06a9\u0631\u062f\u06c1 \u0688\u06cc\u0679\u0627 \u0633\u06d2 \u0645\u06cc\u0644 \u0646\u06c1\u06cc\u06ba \u06a9\u06be\u0627\u062a\u0627\u060c \u06cc\u06c1 \u062b\u0627\u0628\u062a \u06a9\u0631\u062a\u0627 \u06c1\u06d2 \u06a9\u06c1 \u0627\u0635\u0644 \u0688\u06cc\u0679\u0627 \u0627\u062a\u0646\u0627 \u0622\u0633\u0627\u0646 \u0646\u06c1\u06cc\u06ba \u06c1\u06d2\u06d4<\/p>\n<h2 id=\"heading-when-a-straight-line-isnt-enough\">\u062c\u0628 \u0633\u06cc\u062f\u06be\u06cc \u0644\u06a9\u06cc\u0631\u06cc\u06ba \u06a9\u0627\u0641\u06cc \u0646\u06c1\u06cc\u06ba \u06c1\u06cc\u06ba\u06d4<\/h2>\n<p>\u0645\u0633\u0679\u0631 \u067e\u0648\u0644\u06cc \u06af\u0631\u0627\u0641 \u06a9\u0648 \u0642\u0631\u06cc\u0628 \u0633\u06d2 \u062f\u06cc\u06a9\u06be\u062a\u06d2 \u06c1\u06cc\u06ba \u0627\u0648\u0631 \u06a9\u0626\u06cc \u0646\u0645\u0648\u0646\u0648\u06ba \u06a9\u06cc \u0646\u0634\u0627\u0646\u062f\u06c1\u06cc \u06a9\u0631\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u062c\u0648 \u0637\u0627\u0644\u0628 \u0639\u0644\u0645 \u0635\u0631\u0641 \u0686\u0646\u062f \u06af\u06be\u0646\u0679\u06d2 \u067e\u0691\u06be\u062a\u0627 \u06c1\u06d2 \u0648\u06c1 \u0632\u06cc\u0627\u062f\u06c1 \u062d\u0627\u0635\u0644 \u0646\u06c1\u06cc\u06ba \u06a9\u0631 \u0633\u06a9\u062a\u0627\u06d4 \u0627\u06cc\u06a9 \u0628\u0627\u0631 \u062c\u0628 \u0622\u067e \u0627\u06cc\u06a9 \u062e\u0627\u0635 \u0646\u0642\u0637\u06c1 \u06a9\u0648 \u067e\u0627\u0633 \u06a9\u0631\u062a\u06d2 \u06c1\u06cc\u06ba\u060c \u062a\u0648 \u0627\u0636\u0627\u0641\u06cc \u0633\u06cc\u06a9\u06be\u0646\u06d2 \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06d2 \u0622\u067e \u06a9\u0627 \u0633\u06a9\u0648\u0631 \u0628\u0691\u06be\u0646\u0627 \u0634\u0631\u0648\u0639 \u06c1\u0648 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u0627\u0648\u0631 \u067e\u06be\u0631\u060c \u0646\u0634\u0627\u0646\u0627\u062a \u0627\u06cc\u06a9 \u062e\u0627\u0635 \u0646\u0642\u0637\u06c1 \u06a9\u06d2 \u0628\u0639\u062f \u06a9\u0627\u0641\u06cc \u0645\u0633\u062a\u0642\u0644 \u0631\u06c1\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<p>\u0644\u06c1\u0630\u0627\u060c \u0645\u062d\u062a\u0631\u0645\u06c1 \u067e\u0648\u0644\u06cc \u06a9\u06cc \u0633\u0627\u062f\u06c1 \u0633\u06cc\u062f\u06be\u06cc \u0644\u0627\u0626\u0646 \u0645\u0633\u0627\u0648\u0627\u062a \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u06d2 \u0627\u0648\u0642\u0627\u062a \u0641\u06cc \u06c1\u0641\u062a\u06c1 (x) \u0627\u0648\u0631 \u0627\u0633\u06a9\u0648\u0631 (y) \u06a9\u06d2 \u062f\u0631\u0645\u06cc\u0627\u0646 \u062a\u0639\u0644\u0642 \u06a9\u0648 \u0628\u06cc\u0627\u0646 \u06a9\u0631\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u06a9\u0627\u0641\u06cc \u0646\u06c1\u06cc\u06ba \u06c1\u06d2\u06d4<\/p>\n<p>\u0627\u0633 \u06a9\u06d2 \u0628\u062c\u0627\u0626\u06d2\u060c \u0627\u0633\u06d2 \u062a\u06cc\u0646 \u062d\u0635\u0648\u06ba \u0645\u06cc\u06ba \u062a\u0642\u0633\u06cc\u0645 \u06a9\u06cc\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2:<\/p>\n<pre><code class=\"language-plaintext\">Less than t\u2081 hours: Marks remain constant\nt\u2081 to t\u2082 hours: Marks increase with study time\nMore than t\u2082 hours: Marks remain constant\n<\/code><\/pre>\n<p><img decoding=\"async\" src=\"https:\/\/umang.pk\/wp-content\/uploads\/2026\/10\/1792525066_809_\u0646\u06cc\u0648\u0631\u0644-\u0646\u06cc\u0679-\u0648\u0631\u06a9-\u06a9\u06cc\u0633\u06d2-\u06a9\u0627\u0645-\u06a9\u0631\u062a\u06d2-\u06c1\u06cc\u06ba-\u0633\u06cc\u062f\u06be\u06cc-\u0644\u0627\u0626\u0646\u06cc\u06ba-\u06a9\u06cc\u0648\u06ba.png\" alt=\"\u0627\u0646 \u067e\u0679 \u0688\u06cc\u0679\u0627: \u062a\u0628\u062f\u06cc\u0644\u06cc \u067e\u0648\u0627\u0626\u0646\u0679\" style=\"display: block;\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><\/p>\n<p>\u0644\u06c1\u0630\u0627\u060c \u0648\u06c1 \u06c1\u0631 \u0631\u06cc\u0646\u062c \u06a9\u06d2 \u0644\u06cc\u06d2 \u0627\u0644\u06af \u0627\u0644\u06af \u0645\u0633\u0627\u0648\u0627\u062a \u0631\u06a9\u06be \u0633\u06a9\u062a\u06cc \u06c1\u06d2 \u0627\u0648\u0631 \u0644\u06a9\u06be \u0633\u06a9\u062a\u06cc \u06c1\u06d2:<\/p>\n<pre><code class=\"language-plaintext\">y = 1st equation, x<t y=\"2nd\" equation=\"\" t=\"\" x=\"\">=t\u2082\n<\/t><\/code><\/pre>\n<p>\u06cc\u06c1 \u0645\u062b\u0627\u0644 \u06c1\u0645\u06cc\u06ba \u063a\u06cc\u0631 \u062e\u0637\u0648\u0637 \u067e\u0631 \u06c1\u0645\u0627\u0631\u06cc \u067e\u06c1\u0644\u06cc \u062c\u06be\u0644\u06a9 \u062f\u06cc\u062a\u06cc \u06c1\u06d2\u06d4 \u0627\u06cc\u06a9 \u0644\u06a9\u06cc\u0631\u06cc \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u0627\u0641\u06cc \u0646\u06c1\u06cc\u06ba \u06c1\u06d2 \u06a9\u06cc\u0648\u0646\u06a9\u06c1 \u0627\u06cc\u06a9 \u062e\u0627\u0635 \u0646\u0642\u0637\u06c1 \u067e\u0631 \u062a\u0639\u0644\u0642\u0627\u062a \u0645\u06cc\u06ba \u062a\u0628\u062f\u06cc\u0644\u06cc \u0622\u062a\u06cc \u06c1\u06d2\u060c \u062c\u0633 \u06a9\u06d2 \u0644\u06cc\u06d2 \u06a9\u0633\u06cc \u062f\u0648\u0633\u0631\u06d2 \u0645\u0642\u0627\u0645 \u067e\u0631 \u0631\u0648\u06cc\u06d2 \u0645\u06cc\u06ba \u062a\u0628\u062f\u06cc\u0644\u06cc \u06a9\u06cc \u0636\u0631\u0648\u0631\u062a \u06c1\u0648\u062a\u06cc \u06c1\u06d2\u06d4<\/p>\n<p>\u0627\u0633 \u06a9\u0648 \u0633\u0646\u0628\u06be\u0627\u0644\u0646\u06d2 \u06a9\u0627 \u0627\u06cc\u06a9 \u0622\u0633\u0627\u0646 \u0637\u0631\u06cc\u0642\u06c1 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u0646\u0627 \u06c1\u06d2: <strong>\u0679\u06a9\u0691\u0627 \u0648\u0627\u0631 \u0644\u06a9\u06cc\u0631\u06cc \u0641\u0646\u06a9\u0634\u0646<\/strong>.<\/p>\n<h3 id=\"heading-piecewise-linear-curve\">\u0679\u06a9\u0691\u0627 \u0648\u0627\u0631 \u0644\u06a9\u06cc\u0631\u06cc \u0648\u06a9\u0631<\/h3>\n<p>\u0633\u0628 \u0633\u06d2 \u067e\u06c1\u0644\u06d2\u060c \u0633\u0627\u062f\u06af\u06cc \u06a9\u06cc \u062e\u0627\u0637\u0631\u060c \u0645\u062d\u062a\u0631\u0645\u06c1 \u067e\u0648\u0644\u06cc \u0646\u06d2 \u0635\u0631\u0641 \u062f\u0648 \u0639\u0644\u0627\u0642\u0648\u06ba \u067e\u0631 \u063a\u0648\u0631 \u06a9\u0631\u0646\u06d2 \u06a9\u0627 \u0641\u06cc\u0635\u0644\u06c1 \u06a9\u06cc\u0627\u06d4<\/p>\n<pre><code class=\"language-plaintext\">Region1: Hours of study < t\u2081\nRegion2: Hours of study >= t\u2081\n<\/code><\/pre>\n<p>\u067e\u06c1\u0644\u06d2 \u0639\u0644\u0627\u0642\u06d2 \u06a9\u06cc \u0642\u062f\u0631\u06cc\u06ba \u0627\u06cc\u06a9 \u0645\u062e\u0635\u0648\u0635 \u0642\u062f\u0631 \u06a9\u06d2 \u06af\u0631\u062f \u0627\u0634\u0627\u0631\u06c1 \u06a9\u0631\u062a\u06cc \u06c1\u06cc\u06ba\u06d4 \u06cc\u06c1\u0627\u06ba \u062a\u06a9 \u06a9\u06c1 \u0627\u06af\u0631 \u0648\u06c1 \u0628\u0627\u0644\u06a9\u0644 \u0633\u06cc\u062f\u06be\u06d2 \u0646\u06c1\u06cc\u06ba \u0628\u0648\u0644\u062a\u06d2 \u06c1\u06cc\u06ba\u060c \u062a\u0648 \u06c1\u0645 \u0627\u06cc\u06a9 \u062a\u062e\u0645\u06cc\u0646\u06c1 \u062d\u0627\u0635\u0644 \u06a9\u0631 \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba \u0627\u0648\u0631 \u0688\u06be\u0644\u0648\u0627\u0646=0 \u06a9\u06d2 \u0633\u0627\u062a\u06be \u0627\u06cc\u06a9 \u0644\u06a9\u06cc\u0631 \u06a9\u06d2 \u0637\u0648\u0631 \u067e\u0631 \u0639\u0644\u0627\u0642\u06d2 \u06a9\u06cc \u0646\u0645\u0627\u0626\u0646\u062f\u06af\u06cc \u06a9\u0631 \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u0627\u0633 \u0633\u06d2 \u0638\u0627\u06c1\u0631 \u06c1\u0648\u062a\u0627 \u06c1\u06d2 \u06a9\u06c1 \u0646\u0634\u0627\u0646\u0627\u062a \u0632\u06cc\u0627\u062f\u06c1 \u062a\u0631 \u0627\u06cc\u06a9 \u062c\u06cc\u0633\u06d2 \u06c1\u06cc \u0631\u06c1\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<p>\u062f\u0648\u0633\u0631\u06d2 \u062e\u0637\u06d2 \u0645\u06cc\u06ba \u0627\u06cc\u06a9 \u0645\u062b\u0628\u062a \u0688\u06be\u0644\u0648\u0627\u0646 \u062f\u06a9\u06be\u0627\u0626\u06cc \u062f\u06cc\u062a\u06cc \u06c1\u06d2\u06d4 \u0644\u06c1\u0630\u0627 \u0648\u06c1 \u06a9\u06be\u0691\u06cc \u0627\u0648\u067e\u0631 \u06a9\u06cc \u0637\u0631\u0641 \u0688\u06be\u0644\u0648\u0627\u0646 \u0644\u0627\u0626\u0646 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0627\u06cc\u06a9 \u0627\u0648\u0631 \u0644\u06a9\u06cc\u0631\u06cc \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u0627 \u062a\u0639\u06cc\u0646 \u06a9\u0631\u062a\u06cc \u06c1\u06d2:<\/p>\n<p>\u0645\u062d\u062a\u0631\u0645\u06c1 \u0686\u0648\u0646\u06a9\u06c1 \u067e\u0648\u0644\u06cc \u06a9\u0648 \u0627\u06cc\u06a9 \u0645\u0633\u0627\u0648\u0627\u062a \u0645\u06cc\u06ba \u0628\u06cc\u0627\u0646 \u0646\u06c1\u06cc\u06ba \u06a9\u06cc\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627\u060c \u0627\u0633 \u0644\u06cc\u06d2 \u0627\u0648\u067e\u0631 \u0648\u0627\u0644\u06d2 \u06af\u0631\u0627\u0641 \u06a9\u06d2 \u0644\u06cc\u06d2 \u06c1\u0645\u0627\u0631\u06d2 \u067e\u0627\u0633 \u062f\u0648 \u0645\u0633\u0627\u0648\u0627\u062a\u06cc\u06ba \u06c1\u06cc\u06ba\u06d4 \u062c\u06cc\u0633\u0627 \u06a9\u06c1 \u067e\u06cc\u0679\u0631\u0646 \u062a\u0628\u062f\u06cc\u0644 \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u060c \u0645\u062e\u062a\u0644\u0641 \u062d\u062f\u0648\u062f \u06a9\u06d2 \u0627\u0635\u0648\u0644 \u0628\u062f\u0644 \u062c\u0627\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<p>\u062a\u0648 \u0648\u06c1 \u0644\u06a9\u06be \u0633\u06a9\u062a\u06cc \u06c1\u06d2:<\/p>\n<pre><code class=\"language-plaintext\">y = 1st equation, x<t y=\"2nd\" equation=\"\" x=\"\">=t\u2081\n<\/t><\/code><\/pre>\n<p><img decoding=\"async\" src=\"https:\/\/umang.pk\/wp-content\/uploads\/2026\/10\/1792525066_812_\u0646\u06cc\u0648\u0631\u0644-\u0646\u06cc\u0679-\u0648\u0631\u06a9-\u06a9\u06cc\u0633\u06d2-\u06a9\u0627\u0645-\u06a9\u0631\u062a\u06d2-\u06c1\u06cc\u06ba-\u0633\u06cc\u062f\u06be\u06cc-\u0644\u0627\u0626\u0646\u06cc\u06ba-\u06a9\u06cc\u0648\u06ba.png\" alt=\"\u0679\u06a9\u0691\u0627 \u0648\u0627\u0631 \u0644\u06a9\u06cc\u0631\u06cc \u0648\u06a9\u0631\" style=\"display: block;\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><\/p>\n<p>\u0627\u0646\u0641\u0631\u0627\u062f\u06cc \u0637\u0648\u0631 \u067e\u0631\u060c \u06cc\u06c1 \u0627\u06cc\u06a9 \u0633\u06cc\u062f\u06be\u06cc \u0644\u0627\u0626\u0646 \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u06cc \u0637\u0631\u062d \u0646\u0638\u0631 \u0622\u0633\u06a9\u062a\u0627 \u06c1\u06d2\u06d4 \u0644\u06cc\u06a9\u0646 \u062c\u0628 \u0627\u06cc\u06a9 \u0633\u0627\u062a\u06be \u0644\u06cc\u0627 \u062c\u0627\u0626\u06d2 \u062a\u0648 \u0645\u062c\u0645\u0648\u0639\u06cc \u062a\u0639\u0644\u0642 \u0627\u0628 \u0633\u06cc\u062f\u06be\u06cc \u0644\u06a9\u06cc\u0631 \u0646\u06c1\u06cc\u06ba \u0631\u06c1\u0627\u06d4 \u062c\u0628 x \u0627\u06cc\u06a9 \u062e\u0627\u0635 \u0642\u062f\u0631 \u0633\u06d2 \u062a\u062c\u0627\u0648\u0632 \u06a9\u0631\u062a\u0627 \u06c1\u06d2 \u062a\u0648 \u0645\u0633\u0627\u0648\u0627\u062a \u0628\u062f\u0644 \u062c\u0627\u062a\u06cc \u06c1\u06d2\u06d4 \u0627\u0633\u06d2 \u06a9\u06c1\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 <strong>\u0679\u06a9\u0691\u0627 \u0644\u06a9\u06cc\u0631\u06cc \u0641\u0646\u06a9\u0634\u0646\u06d4<\/strong> \u0645\u062e\u062a\u0644\u0641 \u0627\u0646 \u067e\u0679 \u0631\u06cc\u0646\u062c\u0632 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0645\u062e\u062a\u0644\u0641 \u0627\u0635\u0648\u0644\u0648\u06ba \u067e\u0631 \u0645\u0634\u062a\u0645\u0644 \u0627\u06cc\u06a9 \u0641\u0646\u06a9\u0634\u0646\u06d4<\/p>\n<p>\u06cc\u06c1 \u062e\u06cc\u0627\u0644 \u0646\u06cc\u0648\u0631\u0644 \u0646\u06cc\u0679 \u0648\u0631\u06a9\u0633 \u0645\u06cc\u06ba \u0633\u0628 \u0633\u06d2 \u0632\u06cc\u0627\u062f\u06c1 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06c1\u0648\u0646\u06d2 \u0648\u0627\u0644\u06d2 \u0627\u06cc\u06a9\u0679\u06cc\u0648\u06cc\u0634\u0646 \u0641\u0646\u06a9\u0634\u0646 \u0645\u06cc\u06ba \u0638\u0627\u06c1\u0631 \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u06d4 <strong>\u062f\u0648\u0628\u0627\u0631\u06c1 \u0634\u0631\u0648\u0639 \u06a9\u0631\u06cc\u06ba<\/strong>.<\/p>\n<h3 id=\"heading-what-is-a-relu-function\">ReLU \u0641\u0646\u06a9\u0634\u0646 \u06a9\u06cc\u0627 \u06c1\u06d2\u061f<\/h3>\n<p>ReLU \u06a9\u0627 \u0645\u0637\u0644\u0628 Rectified Linear Unit \u06c1\u06d2\u06d4 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a\u06cc \u0637\u0648\u0631 \u067e\u0631 \u06cc\u06c1 \u06c1\u06d2:<\/p>\n<pre><code class=\"language-plaintext\">y = ReLU(x) = max(0,x)\n<\/code><\/pre>\n<p>\u0645\u062b\u0628\u062a \u0627\u0646 \u067e\u0679 \u06a9\u0648 \u0627\u0633\u06cc \u0637\u0631\u062d \u0686\u06be\u0648\u0691 \u062f\u06cc\u06ba \u0627\u0648\u0631 \u0645\u0646\u0641\u06cc \u0627\u0646 \u067e\u0679 \u06a9\u0648 0 \u0633\u06d2 \u0628\u062f\u0644 \u062f\u06cc\u06ba\u06d4<\/p>\n<p>\u0627\u06cc\u06a9 \u0628\u0627\u0631 \u067e\u06be\u0631\u060c \u0627\u0646\u0641\u0631\u0627\u062f\u06cc \u062d\u0635\u06d2 \u0644\u06a9\u06cc\u0631\u06cc \u06c1\u06cc\u06ba\u060c \u0644\u06cc\u06a9\u0646 \u0645\u062c\u0645\u0648\u0639\u06cc \u0641\u0639\u0644 \u063a\u06cc\u0631 \u062e\u0637\u06cc \u06c1\u06d2\u06d4 \u0644\u06c1\u0630\u0627 ReLU \u0627\u06cc\u06a9 \u0679\u06a9\u0691\u0627 \u0648\u0627\u0631 \u0644\u06a9\u06cc\u0631\u06cc \u0641\u0646\u06a9\u0634\u0646 \u06c1\u06d2 \u062c\u0648 \u063a\u06cc\u0631 \u062e\u0637\u0648\u0637\u06cc \u06a9\u0648 \u0645\u062a\u0639\u0627\u0631\u0641 \u06a9\u0631\u0648\u0627\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<p>\u0646\u06cc\u0686\u06d2 \u06a9\u0627 \u06af\u0631\u0627\u0641 ReLU \u0641\u0646\u06a9\u0634\u0646 \u06a9\u0648 \u062f\u06a9\u06be\u0627\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/umang.pk\/wp-content\/uploads\/2026\/10\/1792525066_522_\u0646\u06cc\u0648\u0631\u0644-\u0646\u06cc\u0679-\u0648\u0631\u06a9-\u06a9\u06cc\u0633\u06d2-\u06a9\u0627\u0645-\u06a9\u0631\u062a\u06d2-\u06c1\u06cc\u06ba-\u0633\u06cc\u062f\u06be\u06cc-\u0644\u0627\u0626\u0646\u06cc\u06ba-\u06a9\u06cc\u0648\u06ba.png\" alt=\"ReLU \u0641\u0646\u06a9\u0634\u0646\" style=\"display: block;\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><\/p>\n<p>\u0631\u0648\u06cc\u06d2 \u0645\u06cc\u06ba \u06cc\u06c1 \u0633\u0627\u062f\u06c1 \u062a\u0628\u062f\u06cc\u0644\u06cc\u0627\u06ba \u0646\u06cc\u0648\u0631\u0627\u0646 \u06a9\u0648 \u0645\u062e\u062a\u0644\u0641 \u0642\u0633\u0645 \u06a9\u06d2 \u0622\u062f\u0627\u0646\u0648\u06ba \u06a9\u06d2 \u0644\u06cc\u06d2 \u0645\u062e\u062a\u0644\u0641 \u0637\u0631\u06cc\u0642\u06d2 \u0633\u06d2 \u062c\u0648\u0627\u0628 \u062f\u06cc\u0646\u06d2 \u06a9\u06cc \u0627\u062c\u0627\u0632\u062a \u062f\u06cc\u062a\u06cc \u06c1\u06cc\u06ba\u060c \u062c\u0633 \u0633\u06d2 \u0639\u0635\u0628\u06cc \u0646\u06cc\u0679 \u0648\u0631\u06a9 \u0627\u06cc\u06a9 \u06c1\u06cc \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0639\u0644\u0642 \u0633\u06d2 \u0622\u06af\u06d2 \u0628\u0691\u06be \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<h3 id=\"heading-s-shaped-curve\">S \u06a9\u06cc \u0634\u06a9\u0644 \u06a9\u0627 \u0648\u06a9\u0631<\/h3>\n<p>\u0627\u0628 \u0627\u06cc\u06a9 \u0679\u06a9\u0691\u0627 \u0644\u06a9\u06cc\u0631\u06cc \u0648\u06a9\u0631 \u06a9\u0627\u0645 \u06a9\u0631\u06d2 \u06af\u0627\u060c \u0644\u06cc\u06a9\u0646 \u0645\u062d\u062a\u0631\u0645\u06c1 \u067e\u0648\u0644\u06cc \u062f\u06cc\u06a9\u06be\u062a\u06cc \u06c1\u06cc\u06ba \u06a9\u06c1 \u0627\u06cc\u06a9 \u0639\u0644\u0627\u0642\u06d2 \u0633\u06d2 \u062f\u0648\u0633\u0631\u06d2 \u0639\u0644\u0627\u0642\u06d2 \u0645\u06cc\u06ba \u06a9\u0627\u0641\u06cc \u062a\u06cc\u0632 \u062a\u0628\u062f\u06cc\u0644\u06cc\u0627\u06ba \u06c1\u06cc\u06ba\u06d4 \u0627\u06af\u0631\u0686\u06c1 \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0648 \u062a\u06cc\u0646 \u062e\u0637\u0648\u06ba \u0645\u06cc\u06ba \u062a\u0642\u0633\u06cc\u0645 \u06a9\u06cc\u0627 \u062c\u0627\u0633\u06a9\u062a\u0627 \u06c1\u06d2\u060c \u0644\u06cc\u06a9\u0646 \u0627\u0633 \u0646\u06d2 \u0633\u0627\u062f\u06af\u06cc \u06a9\u06d2 \u0644\u06cc\u06d2 \u0635\u0631\u0641 \u062f\u0648 \u062e\u0637\u0648\u06ba \u067e\u0631 \u063a\u0648\u0631 \u06a9\u06cc\u0627\u06d4<\/p>\n<p>\u062a\u0648 \u0648\u06c1 \u0627\u06cc\u06a9 \u06c1\u0645\u0648\u0627\u0631 \u0648\u06a9\u0631 \u06a9\u06be\u06cc\u0646\u0686\u062a\u06cc \u06c1\u06d2 \u062c\u0648 \u062a\u0642\u0631\u06cc\u0628\u0627\u064b \u062a\u0645\u0627\u0645 \u067e\u0648\u0627\u0626\u0646\u0679\u0633 \u0633\u06d2 \u06af\u0632\u0631\u062a\u06cc \u06c1\u06d2\u060c \u062c\u06cc\u0633\u0627 \u06a9\u06c1 \u0630\u06cc\u0644 \u0645\u06cc\u06ba \u062f\u06a9\u06be\u0627\u06cc\u0627 \u06af\u06cc\u0627 \u06c1\u06d2\u06d4<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/umang.pk\/wp-content\/uploads\/2026\/10\/1792525067_94_\u0646\u06cc\u0648\u0631\u0644-\u0646\u06cc\u0679-\u0648\u0631\u06a9-\u06a9\u06cc\u0633\u06d2-\u06a9\u0627\u0645-\u06a9\u0631\u062a\u06d2-\u06c1\u06cc\u06ba-\u0633\u06cc\u062f\u06be\u06cc-\u0644\u0627\u0626\u0646\u06cc\u06ba-\u06a9\u06cc\u0648\u06ba.png\" alt=\"S \u06a9\u06cc \u0634\u06a9\u0644 \u06a9\u0627 \u0648\u06a9\u0631\" style=\"display: block;\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><\/p>\n<p>\u06cc\u06c1 \u0634\u06a9\u0644 \u0638\u0627\u06c1\u0631 \u06a9\u0631\u062a\u06cc \u06c1\u06d2 \u06a9\u06c1 \u062c\u0628 \u06a9\u0648\u0626\u06cc \u0637\u0627\u0644\u0628 \u0639\u0644\u0645 t\u2081 \u06af\u06be\u0646\u0679\u06d2 \u062a\u06a9 \u067e\u0691\u06be\u062a\u0627 \u06c1\u06d2\u060c \u062a\u0648 \u0627\u0633\u06a9\u0648\u0631 \u062a\u0642\u0631\u06cc\u0628\u0627\u064b \u0627\u06cc\u06a9 \u062c\u06cc\u0633\u0627 \u0631\u06c1\u062a\u0627 \u06c1\u06d2\u06d4 \u067e\u06be\u0631 \u0627\u06cc\u06a9 \u0688\u06be\u0644\u0648\u0627\u0646 \u06c1\u06d2 \u06a9\u06cc\u0648\u0646\u06a9\u06c1 \u062c\u06cc\u0633\u06d2 \u062c\u06cc\u0633\u06d2 \u0633\u06cc\u06a9\u06be\u0646\u06d2 \u06a9\u0627 \u0648\u0642\u062a t\u2081 \u0633\u06d2 t\u00b2 \u062a\u06a9 \u0628\u0691\u06be\u062a\u0627 \u06c1\u06d2 \u0627\u0633\u06a9\u0648\u0631 \u0628\u0691\u06be\u062a\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u06cc\u06c1 \u0622\u062e\u0631 \u06a9\u0627\u0631 \u0679\u06cc 2 \u067e\u0631 \u062f\u0648\u0628\u0627\u0631\u06c1 \u0633\u0637\u062d \u067e\u0631 \u0622\u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u06cc\u06c1 \u0645\u0646\u062a\u0642\u0644\u06cc \u0628\u062a\u062f\u0631\u06cc\u062c \u0627\u0648\u0631 \u0645\u0633\u0644\u0633\u0644 \u06c1\u0648\u062a\u06cc \u06c1\u06d2\u060c \u0679\u06a9\u0691\u0627 \u0648\u0627\u0631 \u0644\u06a9\u06cc\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u062e\u0637\u0648\u0637 \u06a9\u06d2 \u0628\u0631\u0639\u06a9\u0633 \u062c\u0648 \u0633\u0627\u062f\u06c1 \u0633\u06cc\u062f\u06be\u06cc \u0644\u06a9\u06cc\u0631\u0648\u06ba \u06a9\u0627 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u062a\u06d2 \u06c1\u0648\u0626\u06d2 \u0633\u0645\u062a \u0628\u062f\u0644\u062a\u06cc \u06c1\u06d2\u06d4<\/p>\n<p>\u0645\u062d\u062a\u0631\u0645\u06c1 \u067e\u0648\u0644\u06cc \u06a9\u06d2 \u06a9\u06be\u06cc\u0646\u0686\u06d2 \u06c1\u0648\u0626\u06d2 \u0645\u0646\u062d\u0646\u06cc \u062e\u0637\u0648\u0637 \u0628\u06d2 \u062a\u0631\u062a\u06cc\u0628 \u0646\u0645\u0648\u0646\u06d2 \u0646\u06c1\u06cc\u06ba \u06c1\u06cc\u06ba\u06d4 \u0627\u0633 \u06a9\u0627 \u0627\u0638\u06c1\u0627\u0631 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a\u06cc \u0637\u0648\u0631 \u067e\u0631 \u0628\u06be\u06cc \u06a9\u06cc\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u06d4 \u0627\u0633 \u0642\u0633\u0645 \u06a9\u06cc \u0634\u06a9\u0644 \u067e\u06cc\u062f\u0627 \u06a9\u0631\u0646\u06d2 \u0648\u0627\u0644\u06cc \u062e\u0635\u0648\u0635\u06cc\u0627\u062a \u0645\u06cc\u06ba \u0633\u06d2 \u0627\u06cc\u06a9 \u06c1\u06d2\u06d4 <strong>\u0633\u06af\u0645\u0627\u0626\u0688<\/strong> \u0641\u0646\u06a9\u0634\u0646<\/p>\n<h3 id=\"heading-what-is-a-sigmoid-function\">\u0633\u06af\u0645\u0627\u0626\u0688 \u0641\u0646\u06a9\u0634\u0646 \u06a9\u06cc\u0627 \u06c1\u06d2\u061f<\/h3>\n<p>\u0633\u06af\u0645\u0627\u0626\u06cc\u0688 \u0641\u0646\u06a9\u0634\u0646 \u0627\u06cc\u06a9 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a\u06cc \u0641\u0627\u0631\u0645\u0648\u0644\u06c1 \u06c1\u06d2 \u062c\u0648 \u0627\u06cc\u06a9 \u062d\u0642\u06cc\u0642\u06cc \u0642\u062f\u0631 \u0648\u0627\u0644\u0627 \u0627\u0646 \u067e\u0679 \u0644\u06cc\u062a\u0627 \u06c1\u06d2 \u0627\u0648\u0631 \u0627\u0633\u06d2 0 \u0627\u0648\u0631 1 \u06a9\u06d2 \u062f\u0631\u0645\u06cc\u0627\u0646 \u06a9\u06cc \u0642\u062f\u0631 \u067e\u0631 \u0646\u0642\u0634\u06c1 \u0628\u0646\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u06cc\u06c1 0 \u06a9\u06d2 \u0642\u0631\u06cc\u0628 \u0642\u062f\u0631\u0648\u06ba \u067e\u0631 \u0622\u06c1\u0633\u062a\u06c1 \u0622\u06c1\u0633\u062a\u06c1 \u0628\u0691\u06be\u062a\u0627 \u06c1\u06d2\u060c \u062f\u0631\u0645\u06cc\u0627\u0646\u06cc \u0642\u062f\u0631\u0648\u06ba \u067e\u0631 \u062a\u06cc\u0632\u06cc \u0633\u06d2 \u0628\u0691\u06be\u062a\u0627 \u06c1\u06d2\u060c \u0627\u0648\u0631 \u0622\u06c1\u0633\u062a\u06c1 \u0622\u06c1\u0633\u062a\u06c1 1 \u06a9\u06d2 \u0642\u0631\u06cc\u0628 \u0627\u0642\u062f\u0627\u0631 \u067e\u0631 \u0633\u0637\u062d \u0645\u0631\u062a\u0641\u0639 \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<pre><code class=\"language-plaintext\">y = \u03c3(x) = 1 \/ (1 + exp(-x))\n<\/code><\/pre>\n<p>\u0646\u06cc\u0686\u06d2 \u06a9\u0627 \u06af\u0631\u0627\u0641 \u0633\u06af\u0645\u0627\u0626\u06cc\u0688 \u0641\u0646\u06a9\u0634\u0646 \u06a9\u0648 \u0638\u0627\u06c1\u0631 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/umang.pk\/wp-content\/uploads\/2026\/10\/1792525067_243_\u0646\u06cc\u0648\u0631\u0644-\u0646\u06cc\u0679-\u0648\u0631\u06a9-\u06a9\u06cc\u0633\u06d2-\u06a9\u0627\u0645-\u06a9\u0631\u062a\u06d2-\u06c1\u06cc\u06ba-\u0633\u06cc\u062f\u06be\u06cc-\u0644\u0627\u0626\u0646\u06cc\u06ba-\u06a9\u06cc\u0648\u06ba.png\" alt=\"\u0633\u06af\u0645\u0627\u0626\u0688 \u0641\u0646\u06a9\u0634\u0646\" style=\"display: block;\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><\/p>\n<p>\u0639\u0635\u0628\u06cc \u0646\u06cc\u0679 \u0648\u0631\u06a9\u0633 \u0645\u06cc\u06ba \u0633\u06af\u0645\u0627\u0626\u06cc\u0688 \u0641\u0646\u06a9\u0634\u0646 \u0627\u06c1\u0645 \u06c1\u06d2 \u06a9\u06cc\u0648\u0646\u06a9\u06c1 \u06cc\u06c1 \u0646\u0627\u0646 \u0644\u0627\u0626\u0646\u06cc\u0631\u0679\u06cc \u06a9\u0648 \u0645\u062a\u0639\u0627\u0631\u0641 \u06a9\u0631\u0648\u0627\u062a\u06d2 \u06c1\u0648\u0626\u06d2 \u0622\u0624\u0679 \u067e\u0679 \u06a9\u0648 0 \u0627\u0648\u0631 1 \u06a9\u06d2 \u062f\u0631\u0645\u06cc\u0627\u0646 \u0645\u062d\u062f\u0648\u062f \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4 \u06cc\u06c1 \u0627\u0633 \u0648\u0642\u062a \u06a9\u0627\u0631\u0622\u0645\u062f \u06c1\u0648\u062a\u0627 \u06c1\u06d2 \u062c\u0628 \u0622\u0624\u0679 \u067e\u0679 \u06a9\u0648 \u06a9\u0633\u06cc \u0627\u0645\u06a9\u0627\u0646 \u06a9\u06cc \u0646\u0645\u0627\u0626\u0646\u062f\u06af\u06cc \u06a9\u0631\u0646\u06d2 \u06a9\u06cc \u0636\u0631\u0648\u0631\u062a \u06c1\u0648\u060c \u062c\u06cc\u0633\u06d2 \u06a9\u06c1 \u0637\u0627\u0644\u0628 \u0639\u0644\u0645 \u06a9\u06d2 \u0627\u0645\u062a\u062d\u0627\u0646 \u0645\u06cc\u06ba \u06a9\u0627\u0645\u06cc\u0627\u0628 \u06c1\u0648\u0646\u06d2 \u06a9\u0627 \u0627\u0645\u06a9\u0627\u0646\u06d4 \u0632\u06cc\u0627\u062f\u06c1 \u0633\u06af\u0645\u0627\u0626\u06cc\u0688 \u0622\u0624\u0679 \u067e\u0679 \u06a9\u0627 \u0645\u0637\u0644\u0628 \u06c1\u06d2 \u06a9\u06c1 \u0637\u0627\u0644\u0628 \u0639\u0644\u0645 \u06a9\u06d2 \u067e\u0627\u0633 \u06c1\u0648\u0646\u06d2 \u06a9\u0627 \u0632\u06cc\u0627\u062f\u06c1 \u0627\u0645\u06a9\u0627\u0646 \u06c1\u06d2\u060c \u0627\u0648\u0631 \u0627\u0633 \u06a9\u06d2 \u0628\u0631\u0639\u06a9\u0633\u06d4<\/p>\n<h2 id=\"heading-modeling-a-deep-neural-network\">\u06af\u06c1\u0631\u06cc \u0639\u0635\u0628\u06cc \u0646\u06cc\u0679 \u0648\u0631\u06a9 \u0645\u0627\u0688\u0644\u0646\u06af<\/h2>\n<p>\u0645\u062d\u062a\u0631\u0645\u06c1 \u067e\u0648\u0644\u06cc \u06a9\u0648 \u0627\u0628 \u06af\u06c1\u0631\u06d2 \u0646\u06cc\u0648\u0631\u0644 \u0646\u06cc\u0679 \u0648\u0631\u06a9\u0633 \u06a9\u0648 \u0645\u0627\u0688\u0644 \u0628\u0646\u0627\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0644\u06a9\u06cc\u0631\u06cc \u0627\u0648\u0631 \u063a\u06cc\u0631 \u0644\u06a9\u06cc\u0631\u06cc \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u06d2 \u062a\u0635\u0648\u0631\u0627\u062a \u06a9\u0648 \u06cc\u06a9\u062c\u0627 \u06a9\u0631\u0646\u06d2 \u06a9\u06cc \u0636\u0631\u0648\u0631\u062a \u06c1\u0648\u06af\u06cc\u06d4 \u0627\u0633\u06d2 \u062f\u0648 \u0627\u0644\u06af \u0627\u0644\u06af \u0637\u0631\u06cc\u0642\u06d2 \u0627\u062e\u062a\u06cc\u0627\u0631 \u06a9\u0631\u0646\u06d2 \u0686\u0627\u06c1\u0626\u06cc\u06ba\u06d4<\/p>\n<ol>\n<li>\n<p>\u0627\u067e\u0646\u06d2 \u0679\u06cc\u0633\u0679 \u06a9\u06d2 \u0627\u0633\u06a9\u0648\u0631 \u06a9\u06cc \u067e\u06cc\u0634\u0646 \u06af\u0648\u0626\u06cc \u06a9\u0631\u06cc\u06ba\u06d4<\/p>\n<\/li>\n<li>\n<p>\u0627\u0645\u062a\u062d\u0627\u0646 \u067e\u0627\u0633\/\u0641\u06cc\u0644 \u06a9\u06cc \u067e\u06cc\u0634\u0646 \u06af\u0648\u0626\u06cc<\/p>\n<\/li>\n<\/ol>\n<p>\u0648\u06c1 \u062f\u0648 \u0627\u0646\u062a\u06c1\u0627\u0626\u06cc \u0622\u0633\u0627\u0646 \u063a\u06cc\u0631 \u062a\u0631\u0628\u06cc\u062a \u06cc\u0627\u0641\u062a\u06c1 \u0646\u06cc\u0648\u0631\u0644 \u0646\u06cc\u0679 \u0648\u0631\u06a9\u0633 \u06a9\u0627 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u062a\u06cc \u06c1\u06d2 \u062c\u0633 \u0645\u06cc\u06ba \u06c1\u0631 \u0627\u06cc\u06a9 \u06a9\u06d2 \u0644\u06cc\u06d2 \u062f\u0633\u062a\u06cc \u0637\u0648\u0631 \u067e\u0631 \u0645\u0646\u062a\u062e\u0628 \u0648\u0632\u0646 \u0627\u0648\u0631 \u062a\u0639\u0635\u0628\u0627\u062a \u06c1\u0648\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 \u0648\u06c1 \u06cc\u06c1 \u0628\u062a\u0627\u0646\u06d2 \u06a9\u06cc \u06a9\u0648\u0634\u0634 \u06a9\u0631 \u0631\u06c1\u06cc \u06c1\u06d2 \u06a9\u06c1 \u062d\u0633\u0627\u0628 \u06a9\u06cc\u0633\u06d2 \u06a9\u0627\u0645 \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4 \u062d\u0642\u06cc\u0642\u062a \u0645\u06cc\u06ba\u060c \u0627\u0633 \u0646\u06d2 \u062e\u0648\u062f \u067e\u06cc\u0631\u0627\u0645\u06cc\u0679\u0631\u0632 \u06a9\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u0646\u06c1\u06cc\u06ba \u06a9\u06cc\u0627\u06d4 \u0627\u0633 \u0646\u06d2 \u062a\u0631\u0628\u06cc\u062a \u06a9\u06d2 \u062f\u0648\u0631\u0627\u0646 \u0633\u06cc\u06a9\u06be\u06d2 \u06af\u0626\u06d2 \u0648\u0632\u0646 \u0627\u0648\u0631 \u062a\u0639\u0635\u0628\u0627\u062a \u06a9\u06d2 \u0633\u0627\u062a\u06be \u0646\u06cc\u0679 \u0648\u0631\u06a9 \u0642\u0627\u0626\u0645 \u06a9\u06cc\u0627 \u062c\u0633 \u0645\u06cc\u06ba \u067e\u06cc\u0634 \u06af\u0648\u0626\u06cc \u0634\u062f\u06c1 \u0627\u0642\u062f\u0627\u0631 \u06a9\u0627 \u062d\u0642\u06cc\u0642\u06cc \u0642\u062f\u0631\u0648\u06ba \u0633\u06d2 \u0628\u0627\u0631 \u0628\u0627\u0631 \u0645\u0648\u0627\u0632\u0646\u06c1 \u06a9\u06cc\u0627 \u06af\u06cc\u0627 \u0627\u0648\u0631 \u063a\u0644\u0637\u06cc\u0648\u06ba \u06a9\u0648 \u06a9\u0645 \u06a9\u0631\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u067e\u06cc\u0631\u0627\u0645\u06cc\u0679\u0631\u0632 \u06a9\u0648 \u0627\u06cc\u0688\u062c\u0633\u0679 \u06a9\u06cc\u0627\u06d4<\/p>\n<h3 id=\"heading-predicting-marks-using-relu\">ReLU \u06a9\u0627 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u062a\u06d2 \u06c1\u0648\u0626\u06d2 \u067e\u06cc\u0634\u06cc\u0646 \u06af\u0648\u0626\u06cc \u06a9\u0648 \u0646\u0634\u0627\u0646 \u0632\u062f \u06a9\u0631\u06cc\u06ba\u06d4<\/h3>\n<h4 id=\"heading-step-1-set-up-the-network\"><strong>\u0645\u0631\u062d\u0644\u06c1 1: \u0646\u06cc\u0679 \u0648\u0631\u06a9 \u0633\u06cc\u0679 \u0627\u067e<\/strong><\/h4>\n<p>\u0645\u062d\u062a\u0631\u0645\u06c1 \u067e\u0648\u0644\u06cc \u0646\u06d2 \u062f\u0631\u062c \u0630\u06cc\u0644 \u0633\u0627\u062f\u06c1 \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u0627 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u062a\u06d2 \u06c1\u0648\u0626\u06d2 \u0627\u06cc\u06a9 \u06af\u06c1\u0631\u0627 \u0646\u06cc\u0648\u0631\u0644 \u0646\u06cc\u0679 \u0648\u0631\u06a9 \u0642\u0627\u0626\u0645 \u06a9\u06cc\u0627:<\/p>\n<ul>\n<li>\n<p>\u0627\u0646 \u067e\u0679 \u067e\u0631\u062a: \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u06cc\u06d2 \u06af\u0626\u06d2 \u06af\u06be\u0646\u0679\u0648\u06ba \u06a9\u06cc \u062a\u0639\u062f\u0627\u062f (x) \u06cc\u06c1\u0627\u06ba \u0645\u0648\u0635\u0648\u0644 \u06c1\u0648\u0626\u06cc \u06c1\u06d2\u06d4<\/p>\n<\/li>\n<li>\n<p>\u067e\u0648\u0634\u06cc\u062f\u06c1 \u067e\u0631\u062a: \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0628\u062f\u06cc\u0644\u06cc \u0627\u0648\u0631 ReLU \u0627\u0646 \u067e\u0679 \u067e\u0631 \u0644\u0627\u06af\u0648 \u06c1\u0648\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<pre><code class=\"language-plaintext\">z = w\u2081x + b\u2081, = x - 3      (w\u2081=1, b\u2081=-3)\nh = ReLU(z) = max(0, z)\n<\/code><\/pre>\n<\/li>\n<li>\n<p>\u0622\u0624\u0679 \u067e\u0679 \u067e\u0631\u062a: \u067e\u0648\u0634\u06cc\u062f\u06c1 \u067e\u0631\u062a \u06a9\u06d2 \u0622\u0624\u0679 \u067e\u0679 (h) \u067e\u0631 \u0627\u06cc\u06a9 \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0628\u062f\u06cc\u0644\u06cc \u06a9\u0627 \u0627\u0637\u0644\u0627\u0642 \u06a9\u0631\u06cc\u06ba \u0627\u0648\u0631 \u067e\u06be\u0631 \u0627\u0633\u06a9\u0648\u0631 \u06a9\u06cc\u06d2 \u06af\u0626\u06d2 \u0627\u0633\u06a9\u0648\u0631 \u06a9\u06cc \u067e\u06cc\u0634\u06cc\u0646 \u06af\u0648\u0626\u06cc \u06a9\u0631\u06cc\u06ba\u06d4<\/p>\n<pre><code class=\"language-plaintext\">\u0177 = w\u2082h + b\u2082 = 10h + 40      (w\u2082=10, b\u2082=40)\n<\/code><\/pre>\n<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/umang.pk\/wp-content\/uploads\/2026\/10\/1792525067_26_\u0646\u06cc\u0648\u0631\u0644-\u0646\u06cc\u0679-\u0648\u0631\u06a9-\u06a9\u06cc\u0633\u06d2-\u06a9\u0627\u0645-\u06a9\u0631\u062a\u06d2-\u06c1\u06cc\u06ba-\u0633\u06cc\u062f\u06be\u06cc-\u0644\u0627\u0626\u0646\u06cc\u06ba-\u06a9\u06cc\u0648\u06ba.png\" alt=\"39480008-d925-4963-a521-5dea5988e461\" style=\"display: block;\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><\/p>\n<p><strong>\u0645\u0631\u062d\u0644\u06c1 2: \u067e\u06cc\u0634 \u06af\u0648\u0626\u06cc \u0634\u062f\u06c1 \u0646\u0634\u0627\u0646\u0627\u062a \u06a9\u0627 \u062d\u0633\u0627\u0628 \u0644\u06af\u0627\u0626\u06cc\u06ba\u06d4<\/strong><\/p>\n<p>\u0641\u0631\u0636 \u06a9\u0631\u06cc\u06ba \u06a9\u06c1 \u0648\u06c1 \u0627\u06cc\u06a9 \u0637\u0627\u0644\u0628 \u0639\u0644\u0645 \u06a9\u06d2 \u0627\u0633\u06a9\u0648\u0631 \u06a9\u0627 \u062d\u0633\u0627\u0628 \u0644\u06af\u0627\u062a\u06cc \u06c1\u06d2 \u062c\u0633 \u0646\u06d2 5 \u06af\u06be\u0646\u0679\u06d2 \u062a\u06a9 \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u06cc\u0627\u06d4 \u06cc\u06c1\u0627\u06ba \u0648\u06c1 \u06cc\u06c1 \u06a9\u06cc\u0633\u06d2 \u06a9\u0631\u062a\u06cc \u06c1\u06d2:<\/p>\n<pre><code class=\"language-plaintext\">z = w\u2081x + b\u2081, = x - 3 = 5 - 3 = 2\nh = ReLU(z) = max(0, z) = max(0, 2) = 2\n<\/code><\/pre>\n<p>\u0622\u062e\u0631 \u0645\u06cc\u06ba\u060c \u06c1\u0645 \u067e\u06cc\u0634\u0646 \u06af\u0648\u0626\u06cc \u06a9\u06d2 \u0627\u0633\u06a9\u0648\u0631 \u06a9\u0627 \u062d\u0633\u0627\u0628 \u0644\u06af\u0627\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<pre><code class=\"language-plaintext\">\u0177 = w\u2082h + b\u2082 = 10h + 40 = 10(2) + 40 = 60\n<\/code><\/pre>\n<p>\u0646\u06cc\u0648\u0631\u0644 \u0646\u06cc\u0679 \u0648\u0631\u06a9 60 \u0646\u0645\u0628\u0631\u0648\u06ba \u06a9\u06cc \u067e\u06cc\u0634 \u06af\u0648\u0626\u06cc \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u060c \u062c\u0628\u06a9\u06c1 \u0688\u06cc\u0679\u0627 \u0633\u06cc\u0679 \u0645\u06cc\u06ba \u0627\u0635\u0644 \u0646\u0645\u0628\u0631 58 \u06c1\u06cc\u06ba\u06d4<\/p>\n<p><strong>\u0645\u0631\u062d\u0644\u06c1 3: \u067e\u06cc\u0634\u06cc\u0646 \u06af\u0648\u0626\u06cc \u0627\u0648\u0631 \u062d\u0642\u06cc\u0642\u06cc \u0627\u0633\u06a9\u0648\u0631\u0632 \u06a9\u0627 \u0645\u0648\u0627\u0632\u0646\u06c1 \u06a9\u0631\u06cc\u06ba\u06d4<\/strong><\/p>\n<p>\u0645\u062d\u062a\u0631\u0645\u06c1 \u067e\u0648\u0644\u06cc \u0639\u0635\u0628\u06cc \u0646\u06cc\u0679 \u0648\u0631\u06a9 \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06c1 \u067e\u06cc\u0634 \u06af\u0648\u0626\u06cc \u06a9\u06cc \u06af\u0626\u06cc \u062a\u0645\u0627\u0645 \u0646\u0645\u0627\u0626\u0646\u062f\u06af\u06cc \u062d\u0627\u0635\u0644 \u06a9\u0631\u062a\u06cc \u06c1\u06d2 \u0627\u0648\u0631 \u067e\u06be\u0631 \u0646\u06cc\u0686\u06d2 \u062f\u06cc\u06d2 \u06af\u0626\u06d2 \u062c\u062f\u0648\u0644 \u0645\u06cc\u06ba \u0627\u0635\u0644 \u0688\u06cc\u0679\u0627 \u0633\u06d2 \u0627\u0646 \u06a9\u0627 \u0645\u0648\u0627\u0632\u0646\u06c1 \u06a9\u0631\u062a\u06cc \u06c1\u06d2\u06d4<\/p>\n<table>\n<thead>\n<tr>\n<th>\u0648\u0642\u062a \u06a9\u0627 \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u06cc\u0627<\/th>\n<th>\u0633\u06a9\u0648\u0631 \u0633\u06a9\u0648\u0631<\/th>\n<th>\u067e\u06cc\u0634\u0646 \u06af\u0648\u0626\u06cc \u06a9\u0627 \u0646\u0634\u0627\u0646<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>40<\/td>\n<td>40<\/td>\n<\/tr>\n<tr>\n<td>1<\/td>\n<td>40<\/td>\n<td>40<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td>41<\/td>\n<td>40<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>40<\/td>\n<td>40<\/td>\n<\/tr>\n<tr>\n<td>4<\/td>\n<td>48<\/td>\n<td>50<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>58<\/td>\n<td>60<\/td>\n<\/tr>\n<tr>\n<td>6<\/td>\n<td>69<\/td>\n<td>70<\/td>\n<\/tr>\n<tr>\n<td>7<\/td>\n<td>80<\/td>\n<td>80<\/td>\n<\/tr>\n<tr>\n<td>8<\/td>\n<td>80<\/td>\n<td>90<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img decoding=\"async\" src=\"https:\/\/umang.pk\/wp-content\/uploads\/2026\/10\/1792525067_738_\u0646\u06cc\u0648\u0631\u0644-\u0646\u06cc\u0679-\u0648\u0631\u06a9-\u06a9\u06cc\u0633\u06d2-\u06a9\u0627\u0645-\u06a9\u0631\u062a\u06d2-\u06c1\u06cc\u06ba-\u0633\u06cc\u062f\u06be\u06cc-\u0644\u0627\u0626\u0646\u06cc\u06ba-\u06a9\u06cc\u0648\u06ba.png\" alt=\"b0210710-a870-4b3d-a829-054d9f091538\" style=\"display: block;\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><\/p>\n<p>\u06c1\u0648 \u0633\u06a9\u062a\u0627 \u06c1\u06d2 \u06a9\u06c1 \u0627\u0635\u0644 \u0627\u0648\u0631 \u067e\u06cc\u0634\u06cc\u0646 \u06af\u0648\u0626\u06cc \u06a9\u06d2 \u0627\u0634\u0627\u0631\u06d2 \u0628\u0627\u0644\u06a9\u0644 \u0627\u06cc\u06a9 \u062c\u06cc\u0633\u06d2 \u0646\u06c1 \u06c1\u0648\u06ba\u060c \u0644\u06cc\u06a9\u0646 \u0648\u06c1 \u0642\u0631\u06cc\u0628 \u06c1\u06cc\u06ba\u06d4 \u0686\u0648\u0646\u06a9\u06c1 \u0631\u06cc \u0627\u06cc\u0644 \u06cc\u0648 \u062a\u06be\u0631\u06cc\u0634\u0648\u0644\u0688 \u06a9\u06d2 \u0628\u0639\u062f \u0642\u062f\u0631 \u0645\u06cc\u06ba \u0645\u0633\u0644\u0633\u0644 \u0627\u0636\u0627\u0641\u06c1 \u06c1\u0648\u062a\u0627 \u0631\u06c1\u062a\u0627 \u06c1\u06d2\u060c \u0627\u0633 \u0644\u06cc\u06d2 \u0688\u0633\u067e\u0644\u06d2 \u0645\u06cc\u06ba \u0627\u0636\u0627\u0641\u06c1 \u06c1\u0648\u062a\u0627 \u0631\u06c1\u062a\u0627 \u06c1\u06d2 \u0627\u0648\u0631 \u0622\u062e\u0631 \u06a9\u0627\u0631 \u0628\u0631\u0627\u0628\u0631 \u0646\u06c1\u06cc\u06ba \u06c1\u0648\u062a\u0627\u06d4<\/p>\n<p>\u0627\u0633 \u0645\u062b\u0627\u0644 \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06d2\u060c \u0645\u062d\u062a\u0631\u0645\u06c1 \u067e\u0648\u0644\u06cc \u0646\u06d2 \u062f\u06a9\u06be\u0627\u06cc\u0627 \u06a9\u06c1 \u06a9\u0633 \u0637\u0631\u062d ReLU \u0688\u06cc\u0679\u0627 \u0645\u06cc\u06ba \u063a\u06cc\u0631 \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0639\u0644\u0642\u0627\u062a \u06a9\u0648 \u0645\u0627\u0688\u0644 \u06a9\u0631\u0646\u06d2 \u0645\u06cc\u06ba \u0645\u062f\u062f \u06a9\u0631 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<h3 id=\"heading-predicting-passfail-using-relu-and-sigmoid\">ReLU \u0627\u0648\u0631 Sigmoid \u06a9\u0627 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u062a\u06d2 \u06c1\u0648\u0626\u06d2 \u067e\u0627\u0633\/\u0641\u06cc\u0644 \u06a9\u06cc \u067e\u06cc\u0634\u0646 \u06af\u0648\u0626\u06cc<\/h3>\n<p>\u06cc\u06c1\u0627\u06ba\u060c \u0645\u062d\u062a\u0631\u0645\u06c1 \u067e\u0648\u0644\u06cc \u0627\u06cc\u06a9 \u0639\u0635\u0628\u06cc \u0646\u06cc\u0679 \u0648\u0631\u06a9 \u06a9\u0627 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u062a\u06d2 \u06c1\u0648\u0626\u06d2 \u06cc\u06c1 \u067e\u06cc\u0634\u06cc\u0646 \u06af\u0648\u0626\u06cc \u06a9\u0631\u062a\u06cc \u06c1\u06cc\u06ba \u06a9\u06c1 \u0622\u06cc\u0627 \u06a9\u0648\u0626\u06cc \u0637\u0627\u0644\u0628 \u0639\u0644\u0645 \u0641\u0627\u0626\u0646\u0644 \u0627\u0645\u062a\u062d\u0627\u0646 \u067e\u0627\u0633 \u06a9\u0631\u06d2 \u06af\u0627 \u06cc\u0627 \u0641\u06cc\u0644 \u06c1\u0648\u06af\u0627\u06d4 \u0648\u06c1 \u0641\u0631\u0636 \u06a9\u0631\u062a\u06cc \u06c1\u06d2 \u06a9\u06c1 \u0627\u06cc\u06a9 \u0637\u0627\u0644\u0628 \u0639\u0644\u0645 \u06a9\u0648 \u067e\u0627\u0633 \u06c1\u0648\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u06a9\u0645 \u0627\u0632 \u06a9\u0645 50 \u067e\u0648\u0627\u0626\u0646\u0679\u0633 \u0627\u0633\u06a9\u0648\u0631 \u06a9\u0631\u0646\u06d2 \u0686\u0627\u06c1\u0626\u06cc\u06ba\u06d4 \u06cc\u06c1 \u0646\u06cc\u0679 \u0648\u0631\u06a9 \u0627\u0645\u062a\u062d\u0627\u0646 \u067e\u0627\u0633 \u06a9\u0631\u0646\u06d2 \u06a9\u06d2 \u0627\u0645\u06a9\u0627\u0646 \u06a9\u06cc \u067e\u06cc\u0634 \u06af\u0648\u0626\u06cc \u06a9\u0631\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<p><strong>\u0645\u0631\u062d\u0644\u06c1 1: \u0646\u06cc\u0679 \u0648\u0631\u06a9 \u0633\u06cc\u0679 \u0627\u067e<\/strong><\/p>\n<p>\u0645\u062d\u062a\u0631\u0645\u06c1 \u067e\u0648\u0644\u06cc \u0646\u06d2 \u062f\u0631\u062c \u0630\u06cc\u0644 \u0633\u0627\u062f\u06c1 \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u0627 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u0631\u062a\u06d2 \u06c1\u0648\u0626\u06d2 \u0627\u06cc\u06a9 \u06af\u06c1\u0631\u0627 \u0646\u06cc\u0648\u0631\u0644 \u0646\u06cc\u0679 \u0648\u0631\u06a9 \u0642\u0627\u0626\u0645 \u06a9\u06cc\u0627:<\/p>\n<ul>\n<li>\n<p>\u0627\u0646 \u067e\u0679 \u067e\u0631\u062a: \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u06cc\u06d2 \u06af\u0626\u06d2 \u06af\u06be\u0646\u0679\u0648\u06ba \u06a9\u06cc \u062a\u0639\u062f\u0627\u062f (x) \u06cc\u06c1\u0627\u06ba \u0645\u0648\u0635\u0648\u0644 \u06c1\u0648\u0626\u06cc \u06c1\u06d2\u06d4<\/p>\n<\/li>\n<li>\n<p>\u067e\u0648\u0634\u06cc\u062f\u06c1 \u067e\u0631\u062a: \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0628\u062f\u06cc\u0644\u06cc \u0627\u0648\u0631 ReLU \u0627\u0646 \u067e\u0679 \u067e\u0631 \u0644\u0627\u06af\u0648 \u06c1\u0648\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<pre><code class=\"language-plaintext\">z\u2081 = w\u2081x + b\u2081, = x - 4      (w\u2081=1, b\u2081=-4)\nh = ReLU(z\u2081) = max(0, z\u2081)\n<\/code><\/pre>\n<\/li>\n<li>\n<p>\u0622\u0624\u0679 \u067e\u0679 \u0644\u06cc\u0626\u0631: \u067e\u0648\u0634\u06cc\u062f\u06c1 \u067e\u0631\u062a \u06a9\u06d2 \u0622\u0624\u0679 \u067e\u0679 (h) \u06a9\u06cc \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0628\u062f\u06cc\u0644\u06cc \u067e\u0631 \u0633\u06af\u0645\u0627\u0626\u0688 \u0627\u06cc\u06a9\u0679\u06cc\u0648\u06cc\u0634\u0646 \u06a9\u0627 \u0627\u0637\u0644\u0627\u0642 \u06a9\u0631\u06cc\u06ba \u0627\u0648\u0631 \u067e\u06be\u0631 \u067e\u0627\u0633\/\u0641\u06cc\u0644 \u06a9\u06cc \u067e\u06cc\u0634\u06cc\u0646 \u06af\u0648\u0626\u06cc \u06a9\u0631\u06cc\u06ba\u06d4<\/p>\n<pre><code class=\"language-plaintext\">z\u2082 = w\u2082h + b\u2082 = 2h - 1      (w\u2082=2, b\u2082=-1)\np = \u03c3(z\u2082) = 1 \/ (1 + exp(-z\u2082))\n\u0177 = Pass, if p >= 0.5\n\u0177 = Fail, if p < 0.5\n<\/code><\/pre>\n<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/umang.pk\/wp-content\/uploads\/2026\/10\/1792525067_777_\u0646\u06cc\u0648\u0631\u0644-\u0646\u06cc\u0679-\u0648\u0631\u06a9-\u06a9\u06cc\u0633\u06d2-\u06a9\u0627\u0645-\u06a9\u0631\u062a\u06d2-\u06c1\u06cc\u06ba-\u0633\u06cc\u062f\u06be\u06cc-\u0644\u0627\u0626\u0646\u06cc\u06ba-\u06a9\u06cc\u0648\u06ba.png\" alt=\"c4508adf-b2c4-42ae-b297-29afd8ec3409\" style=\"display: block;\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><\/p>\n<p><strong>\u0645\u0631\u062d\u0644\u06c1 2: \u067e\u0627\u0633\/\u0641\u06cc\u0644 \u067e\u06cc\u0634\u06cc\u0646 \u06af\u0648\u0626\u06cc \u06a9\u0627 \u062d\u0633\u0627\u0628 \u0644\u06af\u0627\u0626\u06cc\u06ba\u06d4<\/strong><\/p>\n<p>\u0641\u0631\u0636 \u06a9\u0631\u06cc\u06ba \u06a9\u06c1 \u0648\u06c1 \u0627\u06cc\u06a9 \u0637\u0627\u0644\u0628 \u0639\u0644\u0645 \u06a9\u06d2 \u0646\u062a\u0627\u0626\u062c \u06a9\u06cc \u067e\u06cc\u0634\u06cc\u0646 \u06af\u0648\u0626\u06cc \u06a9\u0631\u0646\u0627 \u0686\u0627\u06c1\u062a\u06cc \u06c1\u06d2 \u062c\u0633 \u0646\u06d2 3 \u06af\u06be\u0646\u0679\u06d2 \u062a\u06a9 \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u06cc\u0627\u06d4 \u06cc\u06c1\u0627\u06ba \u0648\u06c1 \u06cc\u06c1 \u06a9\u06cc\u0633\u06d2 \u06a9\u0631\u062a\u06cc \u06c1\u06d2:<\/p>\n<pre><code class=\"language-plaintext\">z\u2081 = w\u2081x + b\u2081, = x - 4 = 3 - 4 = -1\nh = ReLU(z\u2081) = max(0, z\u2081) = max(0, -1) = 0\n<\/code><\/pre>\n<p>\u067e\u06cc\u0634\u0646 \u06af\u0648\u0626\u06cc \u06a9\u0631\u06cc\u06ba \u06a9\u06c1 \u0622\u06cc\u0627 \u06a9\u0648\u0626\u06cc \u0637\u0627\u0644\u0628 \u0639\u0644\u0645 \u067e\u0627\u0633\/\u0641\u06cc\u0644 \u06c1\u0648\u06af\u0627:<\/p>\n<pre><code class=\"language-plaintext\">z\u2082 = w\u2082h + b\u2082 = 2h - 1 = 2(0) - 1 = -1\np = \u03c3(z\u2082) = 1 \/ (1 + exp(-z\u2082)) = 1 \/ (1 + exp(-(-1))) \u2248 0.269\n<\/code><\/pre>\n<p>0.269<0.5 \u0633\u06d2\u060c \u0637\u0627\u0644\u0628 \u0639\u0644\u0645 \u06a9\u0627 \u0646\u062a\u06cc\u062c\u06c1 \u06cc\u06c1 \u06c1\u06d2: <strong>\u0646\u0627\u06a9\u0627\u0645<\/strong>.<\/p>\n<p>\u0627\u0628\u060c 5 \u06af\u06be\u0646\u0679\u06d2 \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u0631\u0646\u06d2 \u06a9\u06d2 \u0628\u0639\u062f\u060c \u0637\u0627\u0644\u0628 \u0639\u0644\u0645 \u06a9\u06d2 \u0646\u062a\u0627\u0626\u062c \u062f\u0631\u062c \u0630\u06cc\u0644 \u06c1\u06cc\u06ba:<\/p>\n<pre><code class=\"language-plaintext\">z\u2081 = w\u2081x + b\u2081, = x - 4 = 5 - 4 = 1\nh = ReLU(z\u2081) = max(0, z\u2081) = max(0, 1) = 1\n<\/code><\/pre>\n<p>\u067e\u06cc\u0634\u0646 \u06af\u0648\u0626\u06cc \u06a9\u0631\u06cc\u06ba \u06a9\u06c1 \u0622\u06cc\u0627 \u06a9\u0648\u0626\u06cc \u0637\u0627\u0644\u0628 \u0639\u0644\u0645 \u067e\u0627\u0633\/\u0641\u06cc\u0644 \u06c1\u0648\u06af\u0627:<\/p>\n<pre><code class=\"language-plaintext\">z\u2082 = w\u2082h + b\u2082 = 2h - 1 = 2(1) - 1 = 1\np = \u03c3(z\u2082) = 1 \/ (1 + exp(-z\u2082)) = 1 \/ (1 + exp(-1)) \u2248 0.731\n<\/code><\/pre>\n<p>0.731>0.5 \u0633\u06d2\u060c \u0637\u0627\u0644\u0628 \u0639\u0644\u0645 \u06a9\u0627 \u0646\u062a\u06cc\u062c\u06c1 \u06cc\u06c1 \u06c1\u06d2: <strong>\u067e\u0627\u0633<\/strong>.<\/p>\n<p><strong>\u0645\u0631\u062d\u0644\u06c1 3: \u067e\u06cc\u0634\u06cc\u0646 \u06af\u0648\u0626\u06cc\u0648\u06ba \u0627\u0648\u0631 \u062d\u0642\u06cc\u0642\u06cc \u0646\u062a\u0627\u0626\u062c \u06a9\u0627 \u0645\u0648\u0627\u0632\u0646\u06c1 \u06a9\u0631\u06cc\u06ba\u06d4<\/strong><\/p>\n<table>\n<thead>\n<tr>\n<th>\u0648\u0642\u062a \u06a9\u0627 \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u06cc\u0627<\/th>\n<th>\u0633\u06a9\u0648\u0631 \u0633\u06a9\u0648\u0631<\/th>\n<th>\u062d\u0642\u06cc\u0642\u06cc \u0646\u062a\u0627\u0626\u062c<\/th>\n<th>\u0645\u062a\u0648\u0642\u0639 \u0633\u06a9\u0648\u0631<\/th>\n<th>\u0645\u062a\u0648\u0642\u0639 \u0646\u062a\u06cc\u062c\u06c1<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>40<\/td>\n<td>\u0646\u0627\u06a9\u0627\u0645<\/td>\n<td>0.269<\/td>\n<td>\u0646\u0627\u06a9\u0627\u0645<\/td>\n<\/tr>\n<tr>\n<td>1<\/td>\n<td>40<\/td>\n<td>\u0646\u0627\u06a9\u0627\u0645<\/td>\n<td>0.269<\/td>\n<td>\u0646\u0627\u06a9\u0627\u0645<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td>41<\/td>\n<td>\u0646\u0627\u06a9\u0627\u0645<\/td>\n<td>0.269<\/td>\n<td>\u0646\u0627\u06a9\u0627\u0645<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>40<\/td>\n<td>\u0646\u0627\u06a9\u0627\u0645<\/td>\n<td>0.269<\/td>\n<td>\u0646\u0627\u06a9\u0627\u0645<\/td>\n<\/tr>\n<tr>\n<td>4<\/td>\n<td>48<\/td>\n<td>\u0646\u0627\u06a9\u0627\u0645<\/td>\n<td>0.269<\/td>\n<td>\u0646\u0627\u06a9\u0627\u0645<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>58<\/td>\n<td>\u067e\u0627\u0633<\/td>\n<td>0.731<\/td>\n<td>\u067e\u0627\u0633<\/td>\n<\/tr>\n<tr>\n<td>6<\/td>\n<td>69<\/td>\n<td>\u067e\u0627\u0633<\/td>\n<td>0.953<\/td>\n<td>\u067e\u0627\u0633<\/td>\n<\/tr>\n<tr>\n<td>7<\/td>\n<td>80<\/td>\n<td>\u067e\u0627\u0633<\/td>\n<td>0.993<\/td>\n<td>\u067e\u0627\u0633<\/td>\n<\/tr>\n<tr>\n<td>8<\/td>\n<td>80<\/td>\n<td>\u067e\u0627\u0633<\/td>\n<td>0.999<\/td>\n<td>\u067e\u0627\u0633<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img decoding=\"async\" src=\"https:\/\/umang.pk\/wp-content\/uploads\/2026\/10\/1792525067_448_\u0646\u06cc\u0648\u0631\u0644-\u0646\u06cc\u0679-\u0648\u0631\u06a9-\u06a9\u06cc\u0633\u06d2-\u06a9\u0627\u0645-\u06a9\u0631\u062a\u06d2-\u06c1\u06cc\u06ba-\u0633\u06cc\u062f\u06be\u06cc-\u0644\u0627\u0626\u0646\u06cc\u06ba-\u06a9\u06cc\u0648\u06ba.png\" alt=\"2bf27e7a-4a54-4671-b853-6bf16b0b0ec0\" style=\"display: block;\" width=\"600\" height=\"400\" loading=\"lazy\" title=\"\"><\/p>\n<p>\u0646\u06cc\u0679 \u0648\u0631\u06a9 \u0627\u0633 \u0645\u062b\u0627\u0644 \u0645\u06cc\u06ba \u062a\u0645\u0627\u0645 \u0637\u0644\u0628\u0627\u0621 \u06a9\u06d2 \u0646\u062a\u0627\u0626\u062c \u06a9\u06cc \u0635\u062d\u06cc\u062d \u062f\u0631\u062c\u06c1 \u0628\u0646\u062f\u06cc \u06a9\u0631\u062a\u0627 \u06c1\u06d2\u06d4 \u062c\u06cc\u0633\u06d2 \u062c\u06cc\u0633\u06d2 \u0645\u0637\u0627\u0644\u0639\u06c1 \u06a9\u0627 \u0648\u0642\u062a 4 \u06af\u06be\u0646\u0679\u06d2 \u0633\u06d2 \u0632\u06cc\u0627\u062f\u06c1 \u0628\u0691\u06be\u062a\u0627 \u06c1\u06d2\u060c \u067e\u06cc\u0634\u06cc\u0646 \u06af\u0648\u0626\u06cc \u0634\u062f\u06c1 \u0633\u06a9\u0648\u0631 \u0628\u0691\u06be\u062a\u0627 \u06c1\u06d2\u060c \u062c\u0633 \u0633\u06d2 \u06af\u0632\u0631\u0646\u0627 \u0632\u06cc\u0627\u062f\u06c1 \u0642\u0627\u0628\u0644\u0650 \u067e\u06cc\u0634\u06af\u0648\u0626\u06cc \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<p>\u0627\u0633 \u0645\u062b\u0627\u0644 \u06a9\u06d2 \u0630\u0631\u06cc\u0639\u06d2\u060c \u0645\u062d\u062a\u0631\u0645\u06c1 \u067e\u0648\u0644\u06cc \u0646\u06d2 \u062f\u06a9\u06be\u0627\u06cc\u0627 \u06a9\u06c1 \u06a9\u0633 \u0637\u0631\u062d ReLU \u0627\u0648\u0631 sigmoid \u0627\u06cc\u06a9 \u0633\u0627\u062a\u06be \u06a9\u0627\u0645 \u06a9\u0631\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4 ReLU \u067e\u0648\u0634\u06cc\u062f\u06c1 \u067e\u0631\u062a \u06a9\u06d2 \u0627\u0646 \u067e\u0679 \u06a9\u0648 \u062a\u0628\u062f\u06cc\u0644 \u06a9\u0631\u062a\u0627 \u06c1\u06d2 \u0627\u0648\u0631 \u0633\u06af\u0645\u0627\u0626\u0688 \u0622\u0624\u0679 \u067e\u0679 \u06a9\u0648 \u0627\u0633\u06a9\u0648\u0631 \u0645\u06cc\u06ba \u062a\u0628\u062f\u06cc\u0644 \u06a9\u0631\u0646\u06d2 \u0645\u06cc\u06ba \u0645\u062f\u062f \u06a9\u0631\u062a\u0627 \u06c1\u06d2 \u062c\u0633\u06d2 \u067e\u0627\u0633\/\u0641\u06cc\u0644 \u06a9\u06cc \u067e\u06cc\u0634\u0646 \u06af\u0648\u0626\u06cc \u06a9\u06d2 \u0644\u06cc\u06d2 \u0627\u0633\u062a\u0639\u0645\u0627\u0644 \u06a9\u06cc\u0627 \u062c\u0627 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u06d4<\/p>\n<h2 id=\"heading-final-thoughts\">\u062d\u062a\u0645\u06cc \u062e\u06cc\u0627\u0644\u0627\u062a<\/h2>\n<p>\u0627\u0648\u067e\u0631 \u062f\u06a9\u06be\u0627\u0626\u06cc \u06af\u0626\u06cc \u0633\u0627\u062f\u06c1 \u0645\u062b\u0627\u0644 \u0622\u067e \u06a9\u0648 \u0639\u0635\u0628\u06cc \u0646\u06cc\u0679 \u0648\u0631\u06a9\u0633 \u06a9\u06d2 \u0628\u0627\u0631\u06d2 \u0645\u06cc\u06ba \u0627\u06c1\u0645 \u0627\u0635\u0648\u0644\u0648\u06ba \u06a9\u0648 \u0633\u0645\u062c\u06be\u0646\u06d2 \u0645\u06cc\u06ba \u0645\u062f\u062f \u062f\u06d2 \u06af\u06cc\u06d4 \u0622\u0624\u0679 \u067e\u0679 \u0627\u0648\u0631 \u0627\u0646 \u067e\u0679 \u06a9\u06d2 \u062f\u0631\u0645\u06cc\u0627\u0646 \u062a\u0639\u0644\u0642 \u0627\u0646 \u067e\u0679 \u06a9\u06d2 \u0645\u062e\u062a\u0644\u0641 \u062d\u0635\u0648\u06ba \u0645\u06cc\u06ba \u0645\u062e\u062a\u0644\u0641 \u0637\u0631\u06cc\u0642\u06d2 \u0633\u06d2 \u0628\u0631\u062a\u0627\u0624 \u06a9\u0631 \u0633\u06a9\u062a\u0627 \u06c1\u06d2\u06d4 \u062d\u0642\u06cc\u0642\u06cc \u0688\u06cc\u0679\u0627 \u0633\u06d2 \u0628\u0627\u0645\u0639\u0646\u06cc \u0646\u062a\u0627\u0626\u062c \u067e\u06cc\u062f\u0627 \u06a9\u0631\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2\u060c \u0622\u067e \u06a9\u0648 \u0627\u0633\u06d2 \u062d\u0627\u0635\u0644 \u06a9\u0631\u0646\u06d2 \u06a9\u06cc \u0636\u0631\u0648\u0631\u062a \u06c1\u06d2\u06d4<\/p>\n<p>\u0627\u06af\u0631 \u0622\u067e \u06a9\u06d2 \u0688\u06cc\u0679\u0627 \u0645\u06cc\u06ba \u0631\u0634\u062a\u06d2 \u0633\u0627\u062f\u06c1 \u0627\u0648\u0631 \u0645\u0633\u062a\u0642\u0644 \u06c1\u06cc\u06ba \u062a\u0648 \u0627\u06cc\u06a9 \u0633\u06cc\u062f\u06be\u06cc \u0644\u0627\u0626\u0646 \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u0627\u0641\u06cc \u06c1\u06d2\u06d4 \u0644\u06cc\u06a9\u0646 \u062d\u0642\u06cc\u0642\u06cc \u0688\u06cc\u0679\u0627 \u06c1\u0645\u06cc\u0634\u06c1 \u0627\u062a\u0646\u0627 \u0622\u0633\u0627\u0646 \u0646\u06c1\u06cc\u06ba \u06c1\u0648\u062a\u0627 \u06c1\u06d2\u06d4 \u063a\u06cc\u0631 \u062e\u0637\u0648\u0637\u06cc \u06a9\u0648 \u0645\u062a\u0639\u0627\u0631\u0641 \u06a9\u0631\u0648\u0627 \u06a9\u0631\u060c \u0639\u0635\u0628\u06cc \u0646\u06cc\u0679 \u0648\u0631\u06a9 \u0644\u06a9\u06cc\u0631\u06cc \u062a\u0639\u0644\u0642\u0627\u062a \u0633\u06d2 \u0622\u06af\u06d2 \u0628\u0691\u06be \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba \u0627\u0648\u0631 \u0688\u06cc\u0679\u0627 \u0645\u06cc\u06ba \u0686\u06be\u067e\u06d2 \u067e\u06cc\u0686\u06cc\u062f\u06c1 \u062a\u0639\u0644\u0642\u0627\u062a \u06a9\u0648 \u0633\u06cc\u06a9\u06be \u0633\u06a9\u062a\u06d2 \u06c1\u06cc\u06ba\u06d4<\/p>\n<\/p><\/div>","protected":false},"excerpt":{"rendered":"<p>\u0639\u0635\u0628\u06cc \u0646\u06cc\u0679 \u0648\u0631\u06a9\u0633 \u06a9\u06d2 \u06a9\u0627\u0645 \u06a9\u0631\u0646\u06d2 \u06a9\u06d2 \u0637\u0631\u06cc\u0642\u06d2 \u06a9\u0648 \u0633\u0645\u062c\u06be\u0646\u06d2 \u06a9\u06d2 \u0644\u06cc\u06d2 \u0633\u06cc\u062f\u06be\u06cc \u0644\u0627\u0626\u0646 \u0645\u0633\u0627\u0648\u0627\u062a \u0627\u06cc\u06a9 \u0627\u0686\u06be\u06cc \u062c\u06af\u06c1 \u06c1\u06d2\u06d4 \u06cc\u06c1 \u0648\u06c1 \u0686\u06cc\u0632 \u06c1\u06d2 \u062c\u0633\u06d2 \u06c1\u0645 \u0646\u06d2 \u067e\u0686\u06be\u0644\u06d2 \u0645\u0636\u0645\u0648\u0646 \u0645\u06cc\u06ba \u062f\u06cc\u06a9\u06be\u0627 \u062a\u06be\u0627\u060c 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