{"id":1747,"date":"2021-11-27T09:04:50","date_gmt":"2021-11-27T09:04:50","guid":{"rendered":"https:\/\/quera.ir\/blog\/?p=1747"},"modified":"2023-07-23T19:07:57","modified_gmt":"2023-07-23T14:37:57","slug":"numpy-tricks","status":"publish","type":"post","link":"https:\/\/quera.org\/blog\/numpy-tricks\/","title":{"rendered":"\u062a\u0631\u0641\u0646\u062f\u0647\u0627\u06cc Numpy"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Numpy Array \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0639\u0645\u0644\u06cc\u0627\u062a\u200c\u0647\u0627 \u0631\u0627 \u0628\u0627\u0632\u0646\u0648\u06cc\u0633\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0631\u0645\u0632\u06af\u0634\u0627\u06cc\u06cc \u0627\u0632 \u0622\u0646\u200c\u0647\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u062f\u0634\u0648\u0627\u0631 \u0628\u0627\u0634\u062f. \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0645\u062c\u0645\u0648\u0639\u0647\u200c\u0627\u06cc \u0627\u0632 \u0644\u062d\u0638\u0627\u062a \u0686\u0627\u0644\u0634\u200c\u0628\u0631\u0627\u0646\u06af\u06cc\u0632 <a href=\"https:\/\/en.wikipedia.org\/wiki\/NumPy\" target=\"_blank\" rel=\"noreferrer noopener\">Numpy<\/a> \u0648 \u062a\u0631\u0641\u0646\u062f\u0647\u0627\u06cc \u0622\u0646\u200c\u0647\u0627 \u0622\u0648\u0631\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_85 counter-hierarchy ez-toc-counter-rtl ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">\u0641\u0647\u0631\u0633\u062a \u0645\u0637\u0627\u0644\u0628<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"\u062a\u063a\u06cc\u06cc\u0631 \u0648\u0636\u0639\u06cc\u062a \u0641\u0647\u0631\u0633\u062a \u0645\u0637\u0627\u0644\u0628\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<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:\/\/quera.org\/blog\/numpy-tricks\/#%D8%AA%D8%B1%D9%81%D9%86%D8%AF_1_Collection1_Collection2\" >\u062a\u0631\u0641\u0646\u062f 1: Collection1 == Collection2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/quera.org\/blog\/numpy-tricks\/#%D8%AA%D8%B1%D9%81%D9%86%D8%AF_2_%D8%A8%D8%B1%D8%AF%D8%A7%D8%B1%D8%B3%D8%A7%D8%B2%DB%8C%D8%AD%D8%B0%D9%81_%D8%AD%D9%84%D9%82%D9%87_%D8%A8%D8%A7_nptile\" >\u062a\u0631\u0641\u0646\u062f 2: \u0628\u0631\u062f\u0627\u0631\u0633\u0627\u0632\u06cc\/\u062d\u0630\u0641 \u062d\u0644\u0642\u0647 \u0628\u0627 ()np.tile<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/quera.org\/blog\/numpy-tricks\/#%D8%AA%D8%B1%D9%81%D9%86%D8%AF_3_%D8%A7%D8%B3%D8%AA%D9%81%D8%A7%D8%AF%D9%87_%D8%A7%D8%B2_%D8%A2%D8%B1%D8%A7%DB%8C%D9%87_%D8%A8%D8%B1%D8%A7%DB%8C_%D8%A7%D8%B3%D9%84%D8%A7%DB%8C%D8%B3%DB%8C%D9%86%DA%AF_%D8%AC%D9%81%D8%AA%DB%8C\" >\u062a\u0631\u0641\u0646\u062f 3: \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0622\u0631\u0627\u06cc\u0647 \u0628\u0631\u0627\u06cc \u0627\u0633\u0644\u0627\u06cc\u0633\u06cc\u0646\u06af \u062c\u0641\u062a\u06cc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/quera.org\/blog\/numpy-tricks\/#%D8%AA%D8%B1%D9%81%D9%86%D8%AF_4_%D8%A7%D8%B3%D8%AA%D9%81%D8%A7%D8%AF%D9%87_%D9%87%D9%88%D8%B4%D9%85%D9%86%D8%AF%D8%A7%D9%86%D9%87_%D8%A7%D8%B2_%D8%A8%D8%B1%D8%A7%DB%8C_%D8%A7%D8%B3%D8%AA%D8%AE%D8%B1%D8%A7%D8%AC_%D8%B4%DA%A9%D9%84_%D9%85%D9%86%D8%A7%D8%B3%D8%A8\" >\u062a\u0631\u0641\u0646\u062f 4: \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0647\u0648\u0634\u0645\u0646\u062f\u0627\u0646\u0647 \u0627\u0632 : \u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0634\u06a9\u0644 \u0645\u0646\u0627\u0633\u0628<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/quera.org\/blog\/numpy-tricks\/#%D8%AA%D8%B1%D9%81%D9%86%D8%AF_5_%D8%A7%D8%B3%D8%AA%D9%81%D8%A7%D8%AF%D9%87_%D8%A7%D8%B2_Array_%D8%A8%D9%87%E2%80%8C%D8%B9%D9%86%D9%88%D8%A7%D9%86_%D8%A7%D9%86%D8%AF%DB%8C%D8%B3_Slicing\" >\u062a\u0631\u0641\u0646\u062f 5: \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 Array \u0628\u0647\u200c\u0639\u0646\u0648\u0627\u0646 \u0627\u0646\u062f\u06cc\u0633 Slicing<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/quera.org\/blog\/numpy-tricks\/#%D8%AA%D8%B1%D9%81%D9%86%D8%AF_6_Unfunc_at\" >\u062a\u0631\u0641\u0646\u062f 6: Unfunc at<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading has-medium-font-size\" id=\"\u062a\u0631\u0641\u0646\u062f-1-collection1-collection2\"><span class=\"ez-toc-section\" id=\"%D8%AA%D8%B1%D9%81%D9%86%D8%AF_1_Collection1_Collection2\"><\/span><strong>\u062a\u0631\u0641\u0646\u062f 1: <code>Collection1 == Collection2<\/code><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u062f\u0631 Numpy \u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 <code>==<\/code> \u0628\u0647 \u062f\u0648 \u0645\u062c\u0645\u0648\u0639\u0647 \u0627\u0639\u0645\u0627\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f \u0628\u0647 \u0645\u0639\u0646\u06cc \u0645\u0642\u0627\u06cc\u0633\u0647 \u0639\u0646\u0635\u0631\u06cc \u0627\u0633\u062a \u0648 \u062d\u0627\u0635\u0644 \u0622\u0646 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u062a\u0631\u0641\u0646\u062f \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0627 \u0633\u0627\u06cc\u0631 \u0639\u0645\u0644\u06cc\u0627\u062a\u200c\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u0648\u0631\u0648\u062f\u06cc \u0622\u0631\u0627\u06cc\u0647 \u062f\u0627\u0631\u0646\u062f\u060c \u062a\u0631\u06a9\u06cc\u0628 \u06a9\u0631\u062f.<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">&gt;&gt; X_train, y_train, X_test, y_test = load_CIFAR10(cifar10_dir)\n# Training labels (y_train) shape:  (50000,)\n# to pick out correct y examples for one class (assuming that class is indexed at 5)\n&gt;&gt; print(y_train == 5)\n# array([False, False, False, ..., False, False, False], dtype=bool)\n&gt;&gt; idxs = np.flatnonzero(y_train == 5)<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>()np.flatnonzero<\/code> \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u0628\u0647\u200c\u0639\u0646\u0648\u0627\u0646 \u0648\u0631\u0648\u062f\u06cc \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f. \u0622\u0631\u0627\u06cc\u0647 Boolean \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u062f\u0627\u0631\u0627\u06cc \u0648\u06cc\u0698\u06af\u06cc \u0646\u06af\u0627\u0634\u062a <strong><code>True<\/code><\/strong> \u0628\u0647 1 \u0648 <strong><code>False<\/code><\/strong> \u0628\u0647 0 \u0627\u0633\u062a. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 <code>()flatnonzero<\/code> \u0628\u0647\u200c\u0631\u0627\u062d\u062a\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0627\u06cc\u0646\u062f\u06a9\u0633 \u0645\u0648\u0627\u0631\u062f\u06cc \u06a9\u0647 \u0627\u0632 \u06a9\u0644\u0627\u0633 5 \u0647\u0633\u062a\u0646\u062f \u0631\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\" id=\"\u062a\u0631\u0641\u0646\u062f-2-\u0628\u0631\u062f\u0627\u0631\u0633\u0627\u0632\u06cc-\u062d\u0630\u0641-\u062d\u0644\u0642\u0647-\u0628\u0627-np-tile\"><span class=\"ez-toc-section\" id=\"%D8%AA%D8%B1%D9%81%D9%86%D8%AF_2_%D8%A8%D8%B1%D8%AF%D8%A7%D8%B1%D8%B3%D8%A7%D8%B2%DB%8C%D8%AD%D8%B0%D9%81_%D8%AD%D9%84%D9%82%D9%87_%D8%A8%D8%A7_nptile\"><\/span><strong>\u062a\u0631\u0641\u0646\u062f 2: \u0628\u0631\u062f\u0627\u0631\u0633\u0627\u0632\u06cc\/\u062d\u0630\u0641 \u062d\u0644\u0642\u0647 \u0628\u0627 <code>()np.tile<\/code><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u06af\u0627\u0647\u06cc \u0627\u0648\u0642\u0627\u062a \u0648\u0642\u062a\u06cc \u0645\u06cc\u200c\u062e\u0648\u0627\u0647\u06cc\u062f \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0631\u0627 \u0628\u0647 \u0647\u0645 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f \u0648 \u0645\u062c\u0628\u0648\u0631\u06cc\u062f \u0622\u0646\u200c\u0647\u0627 \u0631\u0627 \u0628\u0647\u200c\u0635\u0648\u0631\u062a \u062f\u0633\u062a\u06cc \u0645\u0631\u062a\u0628 \u0648 broadcast \u06a9\u0646\u06cc\u062f\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 <code>()np.tile<\/code> \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f. <code>()np.tile<\/code> \u0645\u0627\u062a\u0631\u06cc\u0633 \u0641\u0639\u0644\u06cc \u0631\u0627 \u06a9\u067e\u06cc \u06a9\u0631\u062f\u0647 \u0648 \u0628\u0647 \u0634\u06a9\u0644\u06cc \u06a9\u0647 \u0645\u06cc\u200c\u062e\u0648\u0627\u0647\u06cc\u062f broadcast \u0645\u06cc\u200c\u06a9\u0646\u062f. \u06a9\u0645\u200c\u062a\u0631\u06cc\u0646 \u0628\u0639\u062f \u0631\u0627 1 \u0646\u06af\u0647 \u062f\u0627\u0631\u06cc\u062f \u062a\u0627 \u0645\u0627\u062a\u0631\u06cc\u0633\/\u0628\u0631\u062f\u0627\u0631 \u0634\u0645\u0627 \u062b\u0627\u0628\u062a \u0628\u0645\u0627\u0646\u062f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0647\u0631 \u062d\u0644\u0642\u0647 for \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u062f\u0631 <code>()<\/code> \u0646\u0648\u0634\u062a \u0648 \u0627\u0632 \u0645\u0632\u06cc\u062a \u0639\u0645\u0644\u06cc\u0627\u062a \u0628\u0631\u062f\u0627\u0631\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\"># for a matrix shape of (10,5), assume this is our training example\n&gt;&gt; train = np.random.randn(10,5)\n# for another matrix shape of (5,5), assume this is our training example\n# 5 examples, each example has 5 data points\n&gt;&gt; test = np.random.randn(5,5)\n# We want to form a matrix of (5, 10), each data point on every row is the\n# difference between sum of test-data[j] and train-data[i].\n&gt;&gt; train = np.sum(train, axis=1)\n&gt;&gt; test = np.sum(test, axis=1)\n\n# duplicate train data of shape (10,) 5 times\n&gt;&gt; expanded_train = np.tile(train, [test.shape[0],1])\n# (5,10)\n&gt;&gt; expanded_test = np.tile(test, [train.shape[0],1])\n# (10, 5)\n&gt;&gt; expanded_test = expanded_test.T\n# (5,10) -&gt; transpose it so we can do subtraction\n&gt;&gt; result = expanded_train - expanded_test\n# (5,10)<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>()np.tile<\/code> \u0647\u0645\u0686\u0646\u06cc\u0646 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0631\u0627\u06cc \u06af\u0633\u062a\u0631\u0634 \u0622\u0631\u0627\u06cc\u0647\u200c\u0647\u0627 \u0648 \u0627\u0645\u06a9\u0627\u0646 \u0636\u0631\u0628\u060c \u062a\u0642\u0633\u06cc\u0645 \u0648 \u062c\u0645\u0639 \u0639\u0646\u0627\u0635\u0631 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0642\u0631\u0627\u0631 \u06af\u06cc\u0631\u062f. \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644 \u0628\u0647\u062a\u0631 \u0627\u0633\u062a \u0628\u0631\u0627\u06cc \u0686\u0646\u06cc\u0646 \u0639\u0645\u0644\u06a9\u0631\u062f\u06cc \u0627\u0632 <code>()np.expand_dims<\/code> \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u0648\u062f\u060c \u0632\u06cc\u0631\u0627 <code>()expand_dims<\/code> \u0628\u0637\u0648\u0631 \u062e\u0648\u062f\u06a9\u0627\u0631 \u062a\u0634\u062e\u06cc\u0635 \u0645\u06cc\u200c\u062f\u0647\u062f \u06a9\u0647 \u06af\u0633\u062a\u0631\u0634 \u0631\u0648\u06cc \u06a9\u062f\u0627\u0645 \u0628\u0639\u062f \u0628\u0627\u06cc\u062f \u0627\u0646\u062c\u0627\u0645 \u0634\u0648\u062f \u0648 \u0645\u0627\u0646\u0646\u062f <code>np.tile<\/code> \u0646\u06cc\u0627\u0632\u06cc \u0628\u0647 \u062a\u0631\u0627\u0646\u0647\u0627\u062f\u0647 \u0646\u0647\u0627\u06cc\u06cc \u0646\u062f\u0627\u0631\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\" id=\"\u062a\u0631\u0641\u0646\u062f-3-\u0627\u0633\u062a\u0641\u0627\u062f\u0647-\u0627\u0632-\u0622\u0631\u0627\u06cc\u0647-\u0628\u0631\u0627\u06cc-\u0627\u0633\u0644\u0627\u06cc\u0633\u06cc\u0646\u06af-\u062c\u0641\u062a\u06cc\"><span class=\"ez-toc-section\" id=\"%D8%AA%D8%B1%D9%81%D9%86%D8%AF_3_%D8%A7%D8%B3%D8%AA%D9%81%D8%A7%D8%AF%D9%87_%D8%A7%D8%B2_%D8%A2%D8%B1%D8%A7%DB%8C%D9%87_%D8%A8%D8%B1%D8%A7%DB%8C_%D8%A7%D8%B3%D9%84%D8%A7%DB%8C%D8%B3%DB%8C%D9%86%DA%AF_%D8%AC%D9%81%D8%AA%DB%8C\"><\/span><strong>\u062a\u0631\u0641\u0646\u062f 3: \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0622\u0631\u0627\u06cc\u0647 \u0628\u0631\u0627\u06cc \u0627\u0633\u0644\u0627\u06cc\u0633\u06cc\u0646\u06af \u062c\u0641\u062a\u06cc<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u0633\u0644\u0627\u06cc\u0633\u06cc\u0646\u06af \u0622\u0631\u0627\u06cc\u0647 \u062f\u0631 Numpy \u0627\u063a\u0644\u0628 \u0634\u06af\u0641\u062a\u200c\u0627\u0646\u06af\u06cc\u0632 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0634\u06af\u0641\u062a\u06cc \u0627\u0632 \u0628\u0631\u062f\u0627\u0631\u0633\u0627\u0632\u06cc max() hinge-loss \u062f\u0631 SVM \u0646\u0627\u0634\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f. \u062a\u0627\u0628\u0639 \u0632\u06cc\u0627\u0646 \u0686\u0646\u062f\u200c\u06a9\u0644\u0627\u0633\u06cc SVM \u0628\u0631\u0627\u06cc \u062a\u0641\u0631\u06cc\u0642 \u0627\u0645\u062a\u06cc\u0627\u0632 \u06a9\u0644\u0627\u0633 \u0635\u062d\u06cc\u062d\u060c \u0628\u0647 \u0627\u0645\u062a\u06cc\u0627\u0632 \u06a9\u0644\u0627\u0633 \u0627\u0634\u062a\u0628\u0627\u0647 \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u062f. \u0647\u0646\u06af\u0627\u0645 \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 \u0648\u0632\u0646 \u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0622\u0645\u0648\u0632\u0634\u060c \u0645\u0627\u062a\u0631\u06cc\u0633\u06cc \u0628\u0647 \u0634\u06a9\u0644 (num_train, num_classes) \u062f\u0631\u06cc\u0627\u0641\u062a \u0645\u06cc\u200c\u06a9\u0646\u06cc\u062f. \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644 \u0686\u06af\u0648\u0646\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0645\u062a\u06cc\u0627\u0632 \u06a9\u0644\u0627\u0633\u200c\u0647\u0627\u06cc \u0635\u062d\u06cc\u062d \u0631\u0627 \u0628\u062f\u0648\u0646 \u0627\u0641\u062a\u0627\u062f\u0646 \u062f\u0631 \u062d\u0644\u0642\u0647\u060c \u0628\u0647 \u062f\u0633\u062a \u0622\u0648\u0631\u06cc\u062f\u061f \u0628\u0627 \u0641\u0631\u0636 \u0627\u06cc\u0646\u06a9\u0647 \u0628\u0631\u0686\u0633\u0628\u200c\u0647\u0627\u06cc y \u0628\u0647 \u0634\u06a9\u0644 (,num_train) \u0628\u0627\u0634\u0646\u062f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u062f\u0631 \u0627\u06cc\u0646 \u0634\u0631\u0627\u06cc\u0637 \u0627\u0646\u062a\u062e\u0627\u0628 pair-wise \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0645\u0641\u06cc\u062f \u0628\u0627\u0634\u062f:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">&gt;&gt; X = np.random.randn(500, 3073)\n&gt;&gt; num_train = X.shape[0]\n&gt;&gt; y_label = np.random.randint(10, (500,))\n&gt;&gt; W = np.random.randn(3073, 500)\n&gt;&gt; scores = X.dot(W)\n&gt;&gt; correct_scores = scores[range(num_train),y_label]<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u06af\u0631 \u0639\u0645\u0644\u06cc\u0627\u062a \u0622\u0631\u0627\u06cc\u0647 <code>[]<\/code> \u062f\u0631 numpy \u062f\u0627\u0631\u0627\u06cc \u062f\u0648 \u0622\u0631\u06af\u0648\u0645\u0627\u0646 (\u06a9\u0647 \u0647\u0631 \u062f\u0648 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0633\u062a\u0646\u062f) \u0628\u0627\u0634\u062f\u060c Numpy \u0627\u06cc\u0646 \u0639\u0645\u0644\u06cc\u0627\u062a pair-wise \u0631\u0627 \u0627\u062c\u0631\u0627 \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u0645\u0627\u0646\u0646\u062f \u0645\u062b\u0627\u0644 \u0632\u06cc\u0631:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">&gt;&gt; a = np.asarray([1,2,3])\n&gt;&gt; b = np.asarray([1,2,3])\n&gt;&gt; correct_scores = scores[a, b]<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u06cc\u0646 \u0628\u0631\u0646\u0627\u0645\u0647 \u0645\u0642\u062f\u0627\u0631 [1,1]\u060c [2,2] \u0648 [3,3] \u0631\u0627 \u0627\u0632 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0645\u062a\u06cc\u0627\u0632\u0627\u062a \u0627\u0646\u062a\u062e\u0627\u0628 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0631\u0627\u0647 \u062f\u06cc\u06af\u0631 \u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u0639\u06a9\u0648\u0633 \u0627\u0632 \u0622\u0646\u060c \u0627\u0646\u062a\u0633\u0627\u0628 \u0645\u0642\u062f\u0627\u0631 \u0627\u0633\u062a. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0627\u06af\u0631 \u0628\u062e\u0648\u0627\u0647\u06cc\u0645 \u0627\u0645\u062a\u06cc\u0627\u0632 label \u0635\u062d\u06cc\u062d \u0631\u0627 \u0628\u0631\u0627\u06cc \u062a\u0627\u0628\u0639 \u0632\u06cc\u0627\u0646 (loss function) \u062d\u0630\u0641 \u06a9\u0646\u06cc\u0645\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0639\u0645\u0644 \u06a9\u0646\u06cc\u0645:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">&gt;&gt; scores[range(X.shape[0]), y_label] = 0<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u0627 \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u062a\u0645\u0627\u0645 \u0627\u0645\u062a\u06cc\u0627\u0632\u0627\u062a label \u0635\u062d\u06cc\u062d \u0631\u0648\u06cc 0 \u062a\u0646\u0638\u06cc\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0648\u0642\u062a\u06cc \u0622\u0646\u200c\u0647\u0627 \u0631\u0627 \u062c\u0645\u0639 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645\u060c label \u0635\u062d\u06cc\u062d \u0628\u0647\u200c\u0647\u06cc\u0686\u200c\u0648\u062c\u0647 \u0628\u0631 \u0647\u0632\u06cc\u0646\u0647 \u06a9\u0644\u06cc \u062a\u0623\u062b\u06cc\u0631 \u0646\u0645\u06cc\u200c\u06af\u0630\u0627\u0631\u062f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0645\u0637\u0644\u0628 \u0645\u0634\u0627\u0628\u0647: <a href=\"https:\/\/quera.ir\/blog\/whats-new-in-php-8-0\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u062a\u063a\u06cc\u06cc\u0631\u0627\u062a PHP 8.0<\/a><\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\" id=\"\u062a\u0631\u0641\u0646\u062f-4-\u0627\u0633\u062a\u0641\u0627\u062f\u0647-\u0647\u0648\u0634\u0645\u0646\u062f\u0627\u0646\u0647-\u0627\u0632-\u0628\u0631\u0627\u06cc-\u0627\u0633\u062a\u062e\u0631\u0627\u062c-\u0634\u06a9\u0644-\u0645\u0646\u0627\u0633\u0628\"><span class=\"ez-toc-section\" id=\"%D8%AA%D8%B1%D9%81%D9%86%D8%AF_4_%D8%A7%D8%B3%D8%AA%D9%81%D8%A7%D8%AF%D9%87_%D9%87%D9%88%D8%B4%D9%85%D9%86%D8%AF%D8%A7%D9%86%D9%87_%D8%A7%D8%B2_%D8%A8%D8%B1%D8%A7%DB%8C_%D8%A7%D8%B3%D8%AA%D8%AE%D8%B1%D8%A7%D8%AC_%D8%B4%DA%A9%D9%84_%D9%85%D9%86%D8%A7%D8%B3%D8%A8\"><\/span><strong>\u062a\u0631\u0641\u0646\u062f 4: \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0647\u0648\u0634\u0645\u0646\u062f\u0627\u0646\u0647 \u0627\u0632 : \u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0634\u06a9\u0644 \u0645\u0646\u0627\u0633\u0628<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u06af\u0627\u0647\u06cc \u0627\u0648\u0642\u0627\u062a \u0628\u0627 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0633\u0647\u200c\u0628\u0639\u062f\u06cc \u0628\u0627 \u0634\u06a9\u0644 (N, T, D) \u0645\u0648\u0627\u062c\u0647 \u0645\u06cc\u200c\u0634\u0648\u06cc\u062f\u060c \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 \u062a\u0627\u0628\u0639 \u0634\u0645\u0627 \u0628\u0627\u06cc\u062f \u0628\u0647 \u0634\u06a9\u0644 (N, D) \u0628\u0627\u0634\u062f. \u062f\u0631 \u0686\u0646\u06cc\u0646 \u0634\u0631\u0627\u06cc\u0637\u06cc <code>()reshape<\/code> \u0628\u06cc\u0634\u062a\u0631 \u0627\u0632 \u0622\u0646\u06a9\u0647 \u0645\u0641\u06cc\u062f \u0628\u0627\u0634\u062f \u0636\u0631\u0631 \u062e\u0648\u0627\u0647\u062f \u062f\u0627\u0634\u062a. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u06cc\u06a9 \u0631\u0627\u0647\u200c\u062d\u0644 \u0633\u0627\u062f\u0647 \u0628\u0631\u0627\u06cc \u0634\u0645\u0627 \u0628\u0627\u0642\u06cc \u0645\u06cc\u200c\u0645\u0627\u0646\u062f:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">for t in xrange(T):\n  x[:, t, :] = # ...<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u0622\u0646 \u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u06cc\u0627 \u062a\u062e\u0635\u06cc\u0635 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\" id=\"\u062a\u0631\u0641\u0646\u062f-5-\u0627\u0633\u062a\u0641\u0627\u062f\u0647-\u0627\u0632-array-\u0628\u0647-\u0639\u0646\u0648\u0627\u0646-\u0627\u0646\u062f\u06cc\u0633-slicing\"><span class=\"ez-toc-section\" id=\"%D8%AA%D8%B1%D9%81%D9%86%D8%AF_5_%D8%A7%D8%B3%D8%AA%D9%81%D8%A7%D8%AF%D9%87_%D8%A7%D8%B2_Array_%D8%A8%D9%87%E2%80%8C%D8%B9%D9%86%D9%88%D8%A7%D9%86_%D8%A7%D9%86%D8%AF%DB%8C%D8%B3_Slicing\"><\/span><strong>\u062a\u0631\u0641\u0646\u062f 5: \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 Array \u0628\u0647\u200c\u0639\u0646\u0648\u0627\u0646 \u0627\u0646\u062f\u06cc\u0633 Slicing<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-black-color has-text-color wp-block-paragraph\">Numpy \u0647\u0645\u0686\u0646\u06cc\u0646 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u062f\u06cc\u06af\u0631 \u0631\u0627 \u0628\u0647\u200c\u0639\u0646\u0648\u0627\u0646 \u0627\u0633\u0644\u0627\u06cc\u0633\u06cc\u0646\u06af \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u062f. \u0641\u0631\u0636 \u06a9\u0646\u06cc\u062f x \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0646\u062f\u06cc\u0633\u06cc \u0628\u0647 \u0634\u06a9\u0644 (N, T) \u0627\u0633\u062a. \u0647\u0631 \u0627\u0646\u062f\u06cc\u0633 \u0627\u0632 \u0639\u0646\u0627\u0635\u0631 x \u062f\u0631 \u0628\u0627\u0632\u0647 <code style=\"direction: ltr;\n    unicode-bidi: embed;\">0 =&lt; idx &lt; V<\/code> \u0642\u0631\u0627\u0631 \u062f\u0627\u0631\u062f \u0648 \u0645\u0627 \u0645\u06cc\u200c\u062e\u0648\u0627\u0647\u06cc\u0645 \u0686\u0646\u06cc\u0646 \u0622\u0631\u0627\u06cc\u0647 \u0627\u0646\u062f\u06cc\u0633\u06cc \u0631\u0627 \u0628\u0647 \u0622\u0631\u0627\u06cc\u0647\u200c\u0627\u06cc \u0628\u0627 \u0648\u0632\u0646 \u0648\u0627\u0642\u0639\u06cc \u062a\u0628\u062f\u06cc\u0644 \u06a9\u0646\u06cc\u0645. \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0648\u0632\u0646\u06cc w \u0628\u0627 \u0634\u06a9\u0644 (V, D)\u060c \u0628\u0647\u200c\u0633\u0627\u062f\u06af\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">N, T, V, D = 2, 4, 5, 3\n\nx = np.asarray([[0, 3, 1, 2], [2, 1, 0, 3]])  # (N, T)\nW = np.linspace(0, 1, num=V*D).reshape(V, D)  # (V, D)\n\n# this is the only required line\nout = W[x]  # (N, T, D)<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Numpy \u0627\u0632 \u0645\u0642\u062f\u0627\u0631 \u0627\u0635\u0644\u06cc x \u0628\u0647\u200c\u0639\u0646\u0648\u0627\u0646 \u0627\u0646\u062f\u06cc\u0633 \u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0645\u0642\u0627\u062f\u06cc\u0631 \u0627\u0632 W \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading has-medium-font-size\" id=\"\u062a\u0631\u0641\u0646\u062f-6-unfunc-at\"><span class=\"ez-toc-section\" id=\"%D8%AA%D8%B1%D9%81%D9%86%D8%AF_6_Unfunc_at\"><\/span><strong>\u062a\u0631\u0641\u0646\u062f 6: Unfunc at<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Numpy \u06af\u0631\u0648\u0647 \u062e\u0627\u0635\u06cc \u0627\u0632 \u062a\u0648\u0627\u0628\u0639 \u0628\u0647 \u0646\u0627\u0645 <a href=\"https:\/\/docs.scipy.org\/doc\/numpy-1.10.1\/reference\/generated\/numpy.ufunc.at.html\" target=\"_blank\" rel=\"noreferrer noopener\">unfunc<\/a> \u062f\u0627\u0631\u062f. numpy.add \u060cnumpy.subtract \u0648&#8230; \u0645\u062a\u0639\u0644\u0642 \u0628\u0647 \u0627\u06cc\u0646 \u06af\u0631\u0648\u0647 \u062e\u0627\u0635 \u0627\u0632 \u062a\u0648\u0627\u0628\u0639 \u0647\u0633\u062a\u0646\u062f. Numpy \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0627\u0632\u200c\u067e\u06cc\u0634\u200c\u062a\u0639\u0631\u06cc\u0641\u200c\u0634\u062f\u0647\u200c\u0627\u06cc \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u062a\u0648\u0627\u0628\u0639 \u0645\u0627\u0646\u0646\u062f <code>at<\/code> \u062f\u0627\u0631\u062f. \u0627\u06cc\u0646 \u062a\u0627\u0628\u0639\u060c \u0639\u0645\u0644\u06cc\u0627\u062a (\u0641\u0631\u0636 \u06a9\u0646\u06cc\u062f \u0627\u06cc\u0646 \u0639\u0645\u0644\u06cc\u0627\u062a <code>add<\/code> \u06cc\u0627 <code>subtract<\/code> \u0628\u0627\u0634\u062f) \u0631\u0627 \u062f\u0631 \u0645\u06a9\u0627\u0646(\u0647\u0627\u06cc) \u0645\u0634\u062e\u0635\u06cc \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u062f\u0647\u062f.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>()ununc.at<\/code> \u0633\u0647 \u0622\u0631\u06af\u0648\u0645\u0627\u0646 \u0631\u0627 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f. \u0622\u0631\u06af\u0648\u0645\u0627\u0646 \u0627\u0648\u0644 \u0645\u0627\u062a\u0631\u06cc\u0633\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0642\u0635\u062f \u062a\u063a\u06cc\u06cc\u0631 \u0622\u0646 \u0631\u0627 \u062f\u0627\u0631\u06cc\u062f\u060c \u0622\u0631\u06af\u0648\u0645\u0627\u0646 \u062f\u0648\u0645 \u0627\u0646\u062f\u06cc\u0633\u200c\u0647\u0627\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0645\u06cc\u200c\u062e\u0648\u0627\u0647\u06cc\u062f \u062a\u063a\u06cc\u06cc\u0631 \u062f\u0647\u06cc\u062f \u0648 \u0622\u0631\u06af\u0648\u0645\u0627\u0646 \u0633\u0648\u0645 \u0645\u0642\u062f\u0627\u0631\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0645\u06cc\u200c\u062e\u0648\u0627\u0647\u06cc\u062f \u062a\u063a\u06cc\u06cc\u0631 \u062f\u0647\u06cc\u062f (\u0628\u0633\u062a\u0647 \u0628\u0647 \u0627\u06cc\u0646\u06a9\u0647 \u062a\u0627\u0628\u0639 <code>unfunc<\/code> \u0686\u06cc\u0633\u062a).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u06cc\u06a9 \u0645\u062b\u0627\u0644 \u0633\u0627\u062f\u0647:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">&gt;&gt;&gt; a = np.array([1, 2, 3, 4])\n&gt;&gt;&gt; np.add.at(a, [0, 1, 2, 2], 1)\n&gt;&gt;&gt; print(a)\narray([2, 3, 5, 4])<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0628\u0647 \u06cc\u06a9 \u0645\u062b\u0627\u0644 \u067e\u06cc\u0634\u0631\u0641\u062a\u0647\u200c\u062a\u0631 \u0646\u06af\u0627\u0647 \u06a9\u0646\u06cc\u0645: \u0627\u0632 \u0627\u06cc\u0646 \u062a\u0631\u0641\u0646\u062f \u0628\u0631\u0627\u06cc \u0628\u0647\u200c\u0631\u0648\u0632\u200c\u0631\u0633\u0627\u0646\u06cc \u0645\u0627\u062a\u0631\u06cc\u0633 \u062c\u0627\u0633\u0627\u0632\u06cc \u06a9\u0644\u0645\u0647 (word embedding) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f!<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\"># dout: Upstream gradients of shape (N, T, D)\n# x: from example in Trick 5 (N, T), indices\n# V: the length of total vocabulary\n# D: weight matrix dimension\n# task here is to build a dW to modify\n# the original weight matrix\n\ndW = np.zeros((V, D), dtype=dout.dtype)\nnp.add.at(dW, x, dout)<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u06a9\u0647 Numpy \u0645\u0627\u062a\u0631\u06cc\u0633 <code>x<\/code> \u0631\u0627 \u0628\u0647 \u0627\u0646\u062f\u06cc\u0633\u200c\u0647\u0627\u06cc \u0645\u062c\u0632\u0627 \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u0627\u0632 \u0622\u0646 \u0628\u0631\u0627\u06cc \u0627\u0646\u062a\u0633\u0627\u0628 \u0645\u0642\u0627\u062f\u06cc\u0631 dout \u0628\u0647 dW \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. dout \u060c<code>np.add.at<\/code> \u0631\u0627 \u0645\u0633\u0637\u062d \u0645\u06cc\u200c\u06a9\u0646\u062f \u062a\u0627 \u0627\u0628\u0639\u0627\u062f \u0622\u0646 <code>(N*T, D)<\/code> \u0634\u0648\u062f. \u0627\u06cc\u0646 \u0628\u0627 \u0627\u0628\u0639\u0627\u062f <code>x<\/code> \u06cc\u0639\u0646\u06cc (N, T) \u0645\u0642\u0627\u06cc\u0633\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u062a\u0627 \u0628\u0628\u06cc\u0646\u06cc\u0645 \u06a9\u0647 \u0622\u06cc\u0627 \u062d\u0627\u0635\u0644\u200c\u0636\u0631\u0628 \u0627\u0628\u0639\u0627\u062f x \u0648 <code>N*T<\/code> \u0628\u0627 \u0647\u0645 \u0645\u0637\u0627\u0628\u0642\u062a \u062f\u0627\u0631\u0646\u062f \u06cc\u0627 \u062e\u06cc\u0631. \u0641\u0642\u0637 \u0648\u0642\u062a\u06cc \u0627\u06cc\u0646 \u0627\u062a\u0641\u0627\u0642 \u0628\u06cc\u0641\u062a\u062f\u060c \u0634\u0645\u0627 \u0647\u0645\u0627\u0646 \u0645\u0642\u062f\u0627\u0631 \u0627\u0632 \u0622\u0631\u0627\u06cc\u0647\u200c\u0647\u0627\u06cc <code>D<\/code> \u0631\u0627 \u06a9\u0647 \u062f\u0631 <code>x<\/code> \u062f\u0633\u062a\u0648\u0631 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a \u0628\u0647 <code>dW<\/code> \u0646\u0633\u0628\u062a \u0645\u06cc\u200c\u062f\u0647\u06cc\u062f\u060c \u06a9\u0647 \u0628\u0631\u0627\u06cc \u06af\u0631\u0641\u062a\u0646 \u0622\u0631\u0627\u06cc\u0647\u200c\u0647\u0627\u06cc <code>D<\/code> \u0646\u06cc\u0632 \u0627\u062a\u0641\u0627\u0642 \u0645\u06cc\u200c\u0627\u0641\u062a\u062f.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Numpy Array \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0639\u0645\u0644\u06cc\u0627\u062a\u200c\u0647\u0627 \u0631\u0627 \u0628\u0627\u0632\u0646\u0648\u06cc\u0633\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0631\u0645\u0632\u06af\u0634\u0627\u06cc\u06cc \u0627\u0632 \u0622\u0646\u200c\u0647\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u062f\u0634\u0648\u0627\u0631 \u0628\u0627\u0634\u062f. \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0645\u062c\u0645\u0648\u0639\u0647\u200c\u0627\u06cc \u0627\u0632 \u0644\u062d\u0638\u0627\u062a&#8230;<\/p>\n","protected":false},"author":6,"featured_media":1759,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[64,46,48,78],"tags":[],"class_list":["post-1747","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-python","category-developer","category-technology","category-backend"],"_links":{"self":[{"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/posts\/1747","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/comments?post=1747"}],"version-history":[{"count":44,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/posts\/1747\/revisions"}],"predecessor-version":[{"id":43115,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/posts\/1747\/revisions\/43115"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/media\/1759"}],"wp:attachment":[{"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/media?parent=1747"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/categories?post=1747"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/quera.org\/blog\/wp-json\/wp\/v2\/tags?post=1747"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}