{"id":3014,"date":"2023-07-19T15:30:27","date_gmt":"2023-07-19T15:30:27","guid":{"rendered":"https:\/\/statorials.org\/hi\/%e0%a4%86%e0%a4%b0-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%87%e0%a4%b7%e0%a5%8d%e0%a4%9f%e0%a4%a4%e0%a4%ae-%e0%a4%95%e0%a4%be%e0%a4%b0%e0%a5%8d%e0%a4%af\/"},"modified":"2023-07-19T15:30:27","modified_gmt":"2023-07-19T15:30:27","slug":"%e0%a4%86%e0%a4%b0-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%87%e0%a4%b7%e0%a5%8d%e0%a4%9f%e0%a4%a4%e0%a4%ae-%e0%a4%95%e0%a4%be%e0%a4%b0%e0%a5%8d%e0%a4%af","status":"publish","type":"post","link":"https:\/\/statorials.org\/hi\/%e0%a4%86%e0%a4%b0-%e0%a4%ae%e0%a5%87%e0%a4%82-%e0%a4%87%e0%a4%b7%e0%a5%8d%e0%a4%9f%e0%a4%a4%e0%a4%ae-%e0%a4%95%e0%a4%be%e0%a4%b0%e0%a5%8d%e0%a4%af\/","title":{"rendered":"\u0906\u0930 \u092e\u0947\u0902 \u0911\u092a\u094d\u091f\u093f\u092e \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902 (2 \u0909\u0926\u093e\u0939\u0930\u0923)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0906\u092a \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0905\u0928\u0941\u0915\u0942\u0932\u0928 \u0915\u0947 \u0932\u093f\u090f \u0906\u0930 \u092e\u0947\u0902 <strong>\u0911\u092a\u094d\u091f\u093f\u092e<\/strong> \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u092f\u0939 \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0942\u0932 \u0938\u093f\u0902\u091f\u0948\u0915\u094d\u0938 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u093e \u0939\u0948:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>optim(by, fn, data, ...)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0938\u094b\u0928\u093e:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u0926\u094d\u0935\u093e\u0930\u093e<\/strong> : \u0905\u0928\u0941\u0915\u0942\u0932\u093f\u0924 \u0915\u093f\u090f \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u092e\u093e\u092a\u0926\u0902\u0921\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u092e\u093e\u0928<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u090f\u092b\u090f\u0928<\/strong> : \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092f\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u092b\u093c\u0902\u0915\u094d\u0936\u0928<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u0921\u0947\u091f\u093e<\/strong> : \u0906\u0930 \u092e\u0947\u0902 \u0911\u092c\u094d\u091c\u0947\u0915\u094d\u091f \u0915\u093e \u0928\u093e\u092e \u091c\u093f\u0938\u092e\u0947\u0902 \u0921\u0947\u091f\u093e \u0939\u0948<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0909\u0926\u093e\u0939\u0930\u0923 \u0926\u093f\u0916\u093e\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092a\u0930\u093f\u0926\u0943\u0936\u094d\u092f\u094b\u0902 \u092e\u0947\u0902 \u0907\u0938 \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> \u090f\u0915 \u0930\u0947\u0916\u0940\u092f \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u092e\u0949\u0921\u0932 \u0915\u0947 \u0917\u0941\u0923\u093e\u0902\u0915 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u093e\u0936\u094d\u0930\u092f\u0923 \u092e\u0949\u0921\u0932 \u0915\u0947 \u0917\u0941\u0923\u093e\u0902\u0915 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u091a\u0932 \u0926\u0930!<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u0909\u0926\u093e\u0939\u0930\u0923 1: \u090f\u0915 \u0930\u0947\u0916\u0940\u092f \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u092e\u0949\u0921\u0932 \u0915\u0947 \u0932\u093f\u090f \u0917\u0941\u0923\u093e\u0902\u0915 \u0922\u0942\u0901\u0922\u0928\u093e<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u094b\u0921 \u0926\u093f\u0916\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0935\u0930\u094d\u0917\u094b\u0902 \u0915\u0947 \u0905\u0935\u0936\u093f\u0937\u094d\u091f \u092f\u094b\u0917 \u0915\u094b \u0915\u092e \u0915\u0930\u0915\u0947 \u0930\u0948\u0916\u093f\u0915 \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u092e\u0949\u0921\u0932 \u0915\u0947 \u0917\u0941\u0923\u093e\u0902\u0915 \u0915\u094b \u0916\u094b\u091c\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f <strong>\u0911\u092a\u094d\u091f\u093f\u092e()<\/strong> \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data.frame(x=c(1, 3, 3, 5, 6, 7, 9, 12),\n                 y=c(4, 5, 8, 6, 9, 10, 13, 17))\n\n<span style=\"color: #008080;\">#define function to minimize residual sum of squares\n<\/span>min_residuals &lt;- <span style=\"color: #008000;\">function<\/span> (data, par) {\n                   <span style=\"color: #008000;\">with<\/span> (data, sum((par[1] + par[2] * x - y)^2))\n}\n\n<span style=\"color: #008080;\">#find coefficients of linear regression model\n<\/span>optim(par=c(0, 1), fn=min_residuals, data=df)\n\n$by\n[1] 2.318592 1.162012\n\n$value\n[1] 11.15084\n\n$counts\nfunction gradient \n      79 NA \n\n$convergence\n[1] 0\n\n$message\nNULL\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>$par<\/strong> \u0915\u0947 \u0905\u0902\u0924\u0930\u094d\u0917\u0924 \u0932\u094c\u091f\u093e\u090f \u0917\u090f \u092e\u093e\u0928\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947, \u0939\u092e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092b\u093f\u091f \u0915\u093f\u090f \u0917\u090f \u0930\u0948\u0916\u093f\u0915 \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u092e\u0949\u0921\u0932 \u0932\u093f\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = 2.318 + 1.162x<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0939\u092e \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u0917\u0941\u0923\u093e\u0902\u0915 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0906\u0930 \u092e\u0947\u0902 \u0905\u0902\u0924\u0930\u094d\u0928\u093f\u0939\u093f\u0924 <strong>\u090f\u0932\u090f\u092e()<\/strong> \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0938\u0924\u094d\u092f\u093e\u092a\u093f\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u092f\u0939 \u0938\u0939\u0940 \u0939\u0948:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find coefficients of linear regression model using lm() function\n<span style=\"color: #000000;\">lm(y ~ x, data=df)\n\nCall:\nlm(formula = y ~ x, data = df)\n\nCoefficients:\n(Intercept) x  \n      2,318 1,162\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u092f\u0947 \u0917\u0941\u0923\u093e\u0902\u0915 \u092e\u093e\u0928 \u0909\u0928 \u092e\u093e\u0928\u094b\u0902 \u0938\u0947 \u092e\u0947\u0932 \u0916\u093e\u0924\u0947 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u0940 \u0917\u0923\u0928\u093e \u0939\u092e\u0928\u0947 <strong>\u0911\u092a\u094d\u091f\u093f\u092e()<\/strong> \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0915\u0940 \u0939\u0948\u0964<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u0909\u0926\u093e\u0939\u0930\u0923 2: \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u092e\u0949\u0921\u0932 \u0915\u0947 \u0932\u093f\u090f \u0917\u0941\u0923\u093e\u0902\u0915 \u0922\u0942\u0901\u0922\u0928\u093e<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u094b\u0921 \u0926\u093f\u0916\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0935\u0930\u094d\u0917\u094b\u0902 \u0915\u0947 \u0905\u0935\u0936\u093f\u0937\u094d\u091f \u092f\u094b\u0917 \u0915\u094b \u0915\u092e \u0915\u0930\u0915\u0947 <a href=\"https:\/\/statorials.org\/hi\/\u0926\u094d\u0935\u093f\u0918\u093e\u0924-\u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928-\u0906\u0930\/\" target=\"_blank\" rel=\"noopener\">\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u092e\u0949\u0921\u0932<\/a> \u0915\u0947 \u0917\u0941\u0923\u093e\u0902\u0915 \u0916\u094b\u091c\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f <strong>\u0911\u092a\u094d\u091f\u093f\u092e()<\/strong> \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#create data frame<\/span>\ndf &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (x=c(6, 9, 12, 14, 30, 35, 40, 47, 51, 55, 60),\n                 y=c(14, 28, 50, 70, 89, 94, 90, 75, 59, 44, 27))<\/span>\n\n<span style=\"color: #000000;\"><span style=\"color: #008080;\">#define function to minimize residual sum of squares\n<\/span>min_residuals &lt;- <span style=\"color: #008000;\">function<\/span> (data, par) {\n                   <span style=\"color: #008000;\">with<\/span> (data, sum((par[1] + par[2]*x + par[3]*x^2 - y)^2))\n}\n\n<span style=\"color: #008080;\">#find coefficients of quadratic regression model\n<\/span>optim(par=c(0, 0, 0), fn=min_residuals, data=df)\n\n$by\n[1] -18.261320 6.744531 -0.101201\n\n$value\n[1] 309.3412\n\n$counts\nfunction gradient \n     218 NA \n\n$convergence\n[1] 0\n\n$message\nNULL<\/span><\/span><\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>$par<\/strong> \u0915\u0947 \u0905\u0902\u0924\u0930\u094d\u0917\u0924 \u0926\u093f\u090f \u0917\u090f \u092e\u093e\u0928\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947, \u0939\u092e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092b\u093f\u091f\u0947\u0921 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u092e\u0949\u0921\u0932 \u0932\u093f\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = -18.261 + 6.744x \u2013 0.101x <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0939\u092e R \u092e\u0947\u0902 \u0905\u0902\u0924\u0930\u094d\u0928\u093f\u0939\u093f\u0924 <strong>lm()<\/strong> \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0938\u0924\u094d\u092f\u093e\u092a\u093f\u0924 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u092f\u0939 \u0938\u0939\u0940 \u0939\u0948:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (x=c(6, 9, 12, 14, 30, 35, 40, 47, 51, 55, 60),\n                 y=c(14, 28, 50, 70, 89, 94, 90, 75, 59, 44, 27))\n\n<span style=\"color: #008080;\">#create a new variable for x^2\n<\/span>df$x2 &lt;- df$x^2\n\n<span style=\"color: #008080;\">#fit quadratic regression model\n<\/span>quadraticModel &lt;- lm(y ~ x + x2, data=df)\n\n<span style=\"color: #008080;\">#display coefficients of quadratic regression model\n<\/span>summary(quadraticModel)$coef\n\n               Estimate Std. Error t value Pr(&gt;|t|)\n(Intercept) -18.2536400 6.185069026 -2.951243 1.839072e-02\nx 6.7443581 0.485515334 13.891133 6.978849e-07\nx2 -0.1011996 0.007460089 -13.565470 8.378822e-07<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u092f\u0947 \u0917\u0941\u0923\u093e\u0902\u0915 \u092e\u093e\u0928 \u0909\u0928 \u092e\u093e\u0928\u094b\u0902 \u0938\u0947 \u092e\u0947\u0932 \u0916\u093e\u0924\u0947 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u0940 \u0917\u0923\u0928\u093e \u0939\u092e\u0928\u0947 <strong>\u0911\u092a\u094d\u091f\u093f\u092e()<\/strong> \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0915\u0940 \u0939\u0948\u0964<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u0938\u0902\u0938\u093e\u0927\u0928<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932 \u092c\u0924\u093e\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0906\u0930 \u092e\u0947\u0902 \u0905\u0928\u094d\u092f \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0911\u092a\u0930\u0947\u0936\u0928 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/hi\/\u0906\u0930-\u092e\u0947\u0902-\u0938\u0930\u0932-\u0930\u0948\u0916\u093f\u0915-\u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928\/\" target=\"_blank\" rel=\"noopener\">\u0906\u0930 \u092e\u0947\u0902 \u0938\u0930\u0932 \u0930\u0948\u0916\u093f\u0915 \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902<\/a><br \/> <a href=\"https:\/\/statorials.org\/hi\/\u090f\u0915\u093e\u0927\u093f\u0915-\u0930\u0948\u0916\u093f\u0915-\u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928-\u0906\u0930\/\" target=\"_blank\" rel=\"noopener\">\u0906\u0930 \u092e\u0947\u0902 \u092e\u0932\u094d\u091f\u0940\u092a\u0932 \u0932\u0940\u0928\u093f\u092f\u0930 \u0930\u093f\u0917\u094d\u0930\u0947\u0936\u0928 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902<\/a><br \/> <a href=\"https:\/\/statorials.org\/hi\/\u0906\u0930-\u092e\u0947\u0902-\u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928-\u0906\u0909\u091f\u092a\u0941\u091f-\u0915\u0940-\u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e-\u0915\u0930\u0947\u0902\/\" target=\"_blank\" rel=\"noopener\">\u0906\u0930 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u0906\u0909\u091f\u092a\u0941\u091f \u0915\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0906\u092a \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0905\u0928\u0941\u0915\u0942\u0932\u0928 \u0915\u0947 \u0932\u093f\u090f \u0906\u0930 \u092e\u0947\u0902 \u0911\u092a\u094d\u091f\u093f\u092e \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0939 \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0942\u0932 \u0938\u093f\u0902\u091f\u0948\u0915\u094d\u0938 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u093e \u0939\u0948: optim(by, fn, data, &#8230;) \u0938\u094b\u0928\u093e: \u0926\u094d\u0935\u093e\u0930\u093e : \u0905\u0928\u0941\u0915\u0942\u0932\u093f\u0924 \u0915\u093f\u090f \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u092e\u093e\u092a\u0926\u0902\u0921\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u092e\u093e\u0928 \u090f\u092b\u090f\u0928 : \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092f\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0921\u0947\u091f\u093e : \u0906\u0930 \u092e\u0947\u0902 \u0911\u092c\u094d\u091c\u0947\u0915\u094d\u091f \u0915\u093e \u0928\u093e\u092e [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-3014","post","type-post","status-publish","format-standard","hentry","category-3"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0906\u0930 \u092e\u0947\u0902 \u0911\u092a\u094d\u091f\u093f\u092e \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902 (2 \u0909\u0926\u093e\u0939\u0930\u0923) - \u0938\u094d\u091f\u0947\u091f\u094b\u0930\u093f\u092f\u0932\u094d\u0938<\/title>\n<meta name=\"description\" content=\"\u092f\u0939 \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932 \u0915\u0908 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u0906\u0930 \u092e\u0947\u0902 \u0911\u092a\u094d\u091f\u093f\u092e() \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e \u092c\u0924\u093e\u0924\u093e \u0939\u0948\u0964\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/hi\/\u0906\u0930-\u092e\u0947\u0902-\u0907\u0937\u094d\u091f\u0924\u092e-\u0915\u093e\u0930\u094d\u092f\/\" \/>\n<meta property=\"og:locale\" content=\"hi_IN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0906\u0930 \u092e\u0947\u0902 \u0911\u092a\u094d\u091f\u093f\u092e \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902 (2 \u0909\u0926\u093e\u0939\u0930\u0923) - \u0938\u094d\u091f\u0947\u091f\u094b\u0930\u093f\u092f\u0932\u094d\u0938\" \/>\n<meta property=\"og:description\" content=\"\u092f\u0939 \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932 \u0915\u0908 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u0906\u0930 \u092e\u0947\u0902 \u0911\u092a\u094d\u091f\u093f\u092e() \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e \u092c\u0924\u093e\u0924\u093e \u0939\u0948\u0964\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/hi\/\u0906\u0930-\u092e\u0947\u0902-\u0907\u0937\u094d\u091f\u0924\u092e-\u0915\u093e\u0930\u094d\u092f\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-19T15:30:27+00:00\" \/>\n<meta name=\"author\" content=\"\u0921\u0949. \u092c\u0947\u0902\u091c\u093e\u092e\u093f\u0928 \u090f\u0902\u0921\u0930\u0938\u0928\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0926\u094d\u0935\u093e\u0930\u093e \u0932\u093f\u0916\u093f\u0924\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u0921\u0949. \u092c\u0947\u0902\u091c\u093e\u092e\u093f\u0928 \u090f\u0902\u0921\u0930\u0938\u0928\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u092a\u0922\u093c\u0928\u0947 \u0915\u093e \u0938\u092e\u092f\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 \u092e\u093f\u0928\u091f\" \/>\n<script type=\"application\/ld+json\" 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\u0938\u094d\u091f\u0947\u091f\u094b\u0930\u093f\u092f\u0932\u094d\u0938\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/hi\/#website\"},\"datePublished\":\"2023-07-19T15:30:27+00:00\",\"dateModified\":\"2023-07-19T15:30:27+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/hi\/#\/schema\/person\/94100fc65c6aa3462638578b0f7b3340\"},\"description\":\"\u092f\u0939 \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932 \u0915\u0908 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u0906\u0930 \u092e\u0947\u0902 \u0911\u092a\u094d\u091f\u093f\u092e() \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0928\u0947 \u0915\u093e \u0924\u0930\u0940\u0915\u093e \u092c\u0924\u093e\u0924\u093e 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\u0911\u092a\u094d\u091f\u093f\u092e \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902 (2 \u0909\u0926\u093e\u0939\u0930\u0923)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/hi\/#website\",\"url\":\"https:\/\/statorials.org\/hi\/\",\"name\":\"Statorials\",\"description\":\"\u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u092f\u094b\u0917\u094d\u092f\u0924\u093e \u0915\u0947 \u0932\u093f\u090f \u0906\u092a\u0915\u093e \u092e\u093e\u0930\u094d\u0917\u0926\u0930\u094d\u0936\u0915!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/hi\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"hi-IN\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/hi\/#\/schema\/person\/94100fc65c6aa3462638578b0f7b3340\",\"name\":\"\u0921\u0949. \u092c\u0947\u0902\u091c\u093e\u092e\u093f\u0928 \u090f\u0902\u0921\u0930\u0938\u0928\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"hi-IN\",\"@id\":\"https:\/\/statorials.org\/hi\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/hi\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/hi\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"\u0921\u0949. \u092c\u0947\u0902\u091c\u093e\u092e\u093f\u0928 \u090f\u0902\u0921\u0930\u0938\u0928\"},\"description\":\"\u0928\u092e\u0938\u094d\u0924\u0947, \u092e\u0948\u0902 \u092c\u0947\u0902\u091c\u093e\u092e\u093f\u0928 \u0939\u0942\u0902, \u090f\u0915 \u0938\u0947\u0935\u093e\u0928\u093f\u0935\u0943\u0924\u094d\u0924 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940 \u092a\u094d\u0930\u094b\u092b\u0947\u0938\u0930 \u091c\u094b \u0905\u092c \u0938\u092e\u0930\u094d\u092a\u093f\u0924 Statorials \u0936\u093f\u0915\u094d\u0937\u0915 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