{"id":478658,"date":"2023-08-09T09:36:38","date_gmt":"2023-08-09T09:36:38","guid":{"rendered":""},"modified":"2023-09-05T11:17:18","modified_gmt":"2023-09-05T11:17:18","slug":"recursion","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/in\/wiki\/recursion\/","title":{"rendered":"\u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0935\u0930\u094d\u0924\u0928"},"content":{"rendered":"<p>\u0930\u093f\u0915\u0930\u094d\u0938\u0928 \u090f\u0915 \u0915\u092e\u094d\u092a\u094d\u092f\u0942\u091f\u0947\u0936\u0928\u0932 \u092f\u093e \u0917\u0923\u093f\u0924\u0940\u092f \u0924\u0915\u0928\u0940\u0915 \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 \u0915\u094b\u0908 \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093f\u0938\u0940 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u094b \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0924\u094d\u092f\u0915\u094d\u0937 \u092f\u093e \u0905\u092a\u094d\u0930\u0924\u094d\u092f\u0915\u094d\u0937 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\u0939\u0948\u0964<\/li>\n<li><strong>\u092e\u0947\u092e\u094b\u0930\u0940 \u0916\u092a\u0924<\/strong>: \u092f\u0926\u093f \u0938\u0939\u0940 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u092a\u094d\u0930\u092c\u0902\u0927\u0928 \u0928 \u0915\u093f\u092f\u093e \u091c\u093e\u090f \u0924\u094b \u0907\u0938\u0938\u0947 \u092e\u0947\u092e\u094b\u0930\u0940 \u0915\u093e \u0905\u0924\u094d\u092f\u0927\u093f\u0915 \u0909\u092a\u092f\u094b\u0917 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/li>\n<li><strong>\u0921\u093f\u092c\u0917\u093f\u0902\u0917<\/strong>: \u0921\u093f\u092c\u0917 \u0915\u0930\u0928\u093e \u0905\u0927\u093f\u0915 \u091a\u0941\u0928\u094c\u0924\u0940\u092a\u0942\u0930\u094d\u0923 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/li>\n<li><strong>\u092a\u094d\u0930\u0926\u0930\u094d\u0936\u0928<\/strong>: \u0915\u0941\u091b \u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0932\u093f\u090f \u092a\u0941\u0928\u0930\u093e\u0935\u0943\u0924\u094d\u0924\u0940\u092f \u0938\u092e\u093e\u0927\u093e\u0928\u094b\u0902 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u0915\u092e \u0915\u0941\u0936\u0932 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<h2>\u0930\u093f\u0915\u0930\u094d\u0938\u0928 \u0915\u0947 \u092a\u094d\u0930\u0915\u093e\u0930: \u0932\u093f\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0924\u093e\u0932\u093f\u0915\u093e\u0913\u0902 \u0914\u0930 \u0938\u0942\u091a\u093f\u092f\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0947\u0902<\/h2>\n<table>\n<thead>\n<tr>\n<th>\u092a\u094d\u0930\u0915\u093e\u0930<\/th>\n<th>\u0935\u093f\u0935\u0930\u0923<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u092a\u094d\u0930\u0924\u094d\u092f\u0915\u094d\u0937<\/td>\n<td>\u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0938\u094d\u0935\u092f\u0902 \u0915\u094b \u0938\u0940\u0927\u0947 \u0915\u0949\u0932 \u0915\u0930\u0924\u093e \u0939\u0948.<\/td>\n<\/tr>\n<tr>\n<td>\u0905\u092a\u094d\u0930\u0924\u094d\u092f\u0915\u094d\u0937<\/td>\n<td>\u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0926\u0942\u0938\u0930\u0947 \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u094b \u0915\u0949\u0932 \u0915\u0930\u0924\u093e \u0939\u0948, \u091c\u094b \u092c\u0926\u0932\u0947 \u092e\u0947\u0902 \u092e\u0942\u0932 \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u094b \u0915\u0949\u0932 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/td>\n<\/tr>\n<tr>\n<td>\u092a\u0942\u0901\u091b<\/td>\n<td>\u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u092e\u093e\u092e\u0932\u093e \u091c\u0939\u093e\u0902 \u092a\u0941\u0928\u0930\u093e\u0935\u0930\u094d\u0924\u0940 \u0915\u0949\u0932 \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u092e\u0947\u0902 \u0905\u0902\u0924\u093f\u092e \u0911\u092a\u0930\u0947\u0936\u0928 \u0939\u0948\u0964<\/td>\n<\/tr>\n<tr>\n<td>\u0906\u092a\u0938\u0940<\/td>\n<td>\u0926\u094b \u092f\u093e \u0905\u0927\u093f\u0915 \u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0915\u094b \u092a\u0941\u0928\u0930\u093e\u0935\u0930\u094d\u0924\u0940 \u0930\u0942\u092a \u0938\u0947 \u0915\u0949\u0932 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0930\u093f\u0915\u0930\u094d\u0938\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0924\u0930\u0940\u0915\u0947, \u0938\u092e\u0938\u094d\u092f\u093e\u090f\u0901 \u0914\u0930 \u0909\u092a\u092f\u094b\u0917 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0909\u0928\u0915\u0947 \u0938\u092e\u093e\u0927\u093e\u0928<\/h2>\n<ul>\n<li><strong>\u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917<\/strong>: \u0935\u093f\u092d\u093e\u091c\u093f\u0924-\u0914\u0930-\u091c\u0940\u0924-\u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u092e\u0947\u0902 \u0906\u092e\u0964<\/li>\n<li><strong>\u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0938\u092e\u0938\u094d\u092f\u093e\u090f\u0902<\/strong>: \u0938\u094d\u091f\u0948\u0915 \u0913\u0935\u0930\u092b\u093c\u094d\u0932\u094b, \u0905\u0924\u093f\u0930\u0947\u0915, \u0905\u0915\u0941\u0936\u0932\u0924\u093e\u0964<\/li>\n<li><strong>\u0938\u092e\u093e\u0927\u093e\u0928<\/strong>\u091f\u0947\u0932 \u0930\u093f\u0915\u0930\u094d\u0938\u0928, \u092e\u0947\u092e\u094b\u0907\u091c\u093c\u0947\u0936\u0928 \u092f\u093e \u092a\u0941\u0928\u0930\u093e\u0935\u0943\u0924\u094d\u0924\u0940\u092f \u0935\u093f\u0915\u0932\u094d\u092a\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0928\u093e\u0964<\/li>\n<\/ul>\n<h2>\u092e\u0941\u0916\u094d\u092f \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0901 \u0914\u0930 \u0938\u092e\u093e\u0928 \u0936\u092c\u094d\u0926\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u0905\u0928\u094d\u092f \u0924\u0941\u0932\u0928\u093e\u090f\u0901<\/h2>\n<table>\n<thead>\n<tr>\n<th>\u0905\u0935\u0927\u093f<\/th>\n<th>\u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0935\u0930\u094d\u0924\u0928<\/th>\n<th>\u092f\u093e\u0924\u094d\u0930\u093e<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u092a\u0930\u093f\u092d\u093e\u0937\u093e<\/td>\n<td>\u092b\u093c\u0902\u0915\u094d\u0936\u0928 \u0915\u093f\u0938\u0940 \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u094b \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0938\u094d\u0935\u092f\u0902 \u0915\u094b \u0915\u0949\u0932 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/td>\n<td>\u0932\u0942\u092a \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0915\u094b\u0921 \u0915\u093e \u092c\u093e\u0930-\u092c\u093e\u0930 \u0928\u093f\u0937\u094d\u092a\u093e\u0926\u0928\u0964<\/td>\n<\/tr>\n<tr>\n<td>\u0915\u094d\u0937\u092e\u0924\u093e<\/td>\n<td>\u0915\u0941\u091b \u092e\u093e\u092e\u0932\u094b\u0902 \u092e\u0947\u0902 \u092f\u0939 \u0915\u092e \u0915\u0941\u0936\u0932 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/td>\n<td>\u092a\u094d\u0930\u093e\u092f\u0903 \u0905\u0927\u093f\u0915 \u0915\u0941\u0936\u0932.<\/td>\n<\/tr>\n<tr>\n<td>\u091c\u091f\u093f\u0932\u0924\u093e<\/td>\n<td>\u0907\u0938\u0938\u0947 \u0938\u094d\u0935\u091a\u094d\u091b \u0915\u094b\u0921 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/td>\n<td>\u0915\u0941\u091b \u092e\u093e\u092e\u0932\u094b\u0902 \u092e\u0947\u0902 \u092f\u0939 \u0905\u0927\u093f\u0915 \u091c\u091f\u093f\u0932 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0930\u093f\u0915\u0930\u094d\u0938\u0928 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u092d\u0935\u093f\u0937\u094d\u092f \u0915\u0947 \u092a\u0930\u093f\u092a\u094d\u0930\u0947\u0915\u094d\u0937\u094d\u092f \u0914\u0930 \u092a\u094d\u0930\u094c\u0926\u094d\u092f\u094b\u0917\u093f\u0915\u093f\u092f\u093e\u0902<\/h2>\n<p>\u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u092e\u0947\u0902 \u0930\u093f\u0915\u0930\u094d\u0938\u0928 \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u092c\u0928\u0940 \u0939\u0941\u0908 \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u0930\u093f\u0915\u0930\u094d\u0938\u093f\u0935 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u094b \u0905\u0928\u0941\u0915\u0942\u0932\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0928\u093f\u0930\u0902\u0924\u0930 \u0936\u094b\u0927 \u091a\u0932 \u0930\u0939\u093e \u0939\u0948\u0964 \u092d\u0935\u093f\u0937\u094d\u092f \u0915\u0940 \u0924\u0915\u0928\u0940\u0915\u0947\u0902 \u0915\u094d\u0935\u093e\u0902\u091f\u092e \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u093f\u0902\u0917 \u0914\u0930 \u0906\u0930\u094d\u091f\u093f\u092b\u093f\u0936\u093f\u092f\u0932 \u0907\u0902\u091f\u0947\u0932\u093f\u091c\u0947\u0902\u0938 \u0938\u0939\u093f\u0924 \u0905\u0927\u093f\u0915 \u091c\u091f\u093f\u0932 \u0924\u0930\u0940\u0915\u094b\u0902 \u0938\u0947 \u0930\u093f\u0915\u0930\u094d\u0938\u0928 \u0915\u093e \u0932\u093e\u092d \u0909\u0920\u093e \u0938\u0915\u0924\u0940 \u0939\u0948\u0902\u0964<\/p>\n<h2>\u092a\u094d\u0930\u0949\u0915\u094d\u0938\u0940 \u0938\u0930\u094d\u0935\u0930 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 \u092f\u093e \u0930\u093f\u0915\u0930\u094d\u0938\u0928 \u0915\u0947 \u0938\u093e\u0925 \u0915\u0948\u0938\u0947 \u0938\u0902\u092c\u0926\u094d\u0927 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948<\/h2>\n<p>\u092a\u094d\u0930\u0949\u0915\u094d\u0938\u0940 \u0938\u0930\u094d\u0935\u0930 \u0930\u0942\u091f\u093f\u0902\u0917, \u0932\u094b\u0921 \u092c\u0948\u0932\u0947\u0902\u0938\u093f\u0902\u0917 \u0914\u0930 \u0921\u0947\u091f\u093e \u092b\u093c\u093f\u0932\u094d\u091f\u0930\u093f\u0902\u0917 \u091c\u0948\u0938\u0947 \u0915\u093e\u0930\u094d\u092f\u094b\u0902 \u0915\u094b \u0938\u0902\u092d\u093e\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0930\u093f\u0915\u0930\u094d\u0938\u093f\u0935 \u090f\u0932\u094d\u0917\u094b\u0930\u093f\u0926\u092e \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u0930\u093f\u0915\u0930\u094d\u0938\u0928 \u0915\u093e \u0932\u093e\u092d \u0909\u0920\u093e\u0915\u0930, \u0907\u0928 \u0915\u093e\u0930\u094d\u092f\u094b\u0902 \u0915\u094b \u0915\u0941\u0936\u0932 \u0914\u0930 \u0932\u091a\u0940\u0932\u0940 \u0938\u0947\u0935\u093e\u090f\u0901 \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0905\u0928\u0941\u0915\u0942\u0932\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 OneProxy \u091c\u0948\u0938\u0947 \u092a\u094d\u0930\u0926\u093e\u0924\u093e \u0915\u0947 \u0932\u093f\u090f, \u0930\u093f\u0915\u0930\u094d\u0938\u0928 \u0915\u094b \u0938\u092e\u091d\u0928\u0947 \u0938\u0947 \u092a\u094d\u0930\u0949\u0915\u094d\u0938\u0940 \u0938\u0930\u094d\u0935\u0930 \u0915\u0949\u0928\u094d\u092b\u093c\u093f\u0917\u0930\u0947\u0936\u0928 \u0914\u0930 \u092a\u094d\u0930\u092c\u0902\u0927\u0928 \u092c\u0947\u0939\u0924\u0930 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/p>\n<h2>\u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u0932\u093f\u0902\u0915\u094d\u0938<\/h2>\n<ul>\n<li><a href=\"https:\/\/web.stanford.edu\/class\/cs97si\/02-recursion.pdf\" target=\"_new\" rel=\"noopener nofollow\">\u0938\u094d\u091f\u0948\u0928\u092b\u094b\u0930\u094d\u0921: \u0930\u093f\u0915\u0930\u094d\u0938\u0928 \u0915\u093e \u092a\u0930\u093f\u091a\u092f<\/a><\/li>\n<li><a href=\"https:\/\/ocw.mit.edu\/courses\/electrical-engineering-and-computer-science\/6-042j-mathematics-for-computer-science-fall-2005\/readings\/r01.pdf\" target=\"_new\" rel=\"noopener nofollow\">\u090f\u092e\u0906\u0908\u091f\u0940 \u0913\u092a\u0928\u0915\u094b\u0930\u094d\u0938\u0935\u0947\u092f\u0930: \u092a\u0941\u0928\u0930\u093e\u0935\u0943\u0924\u094d\u0924\u093f \u0914\u0930 \u092a\u0941\u0928\u0930\u093e\u0935\u0943\u0924\u094d\u0924\u093f<\/a><\/li>\n<li><a href=\"https:\/\/oneproxy.pro\/in\/recursion-in-proxy-services\/\" target=\"_new\" rel=\"noopener\">OneProxy: \u0939\u092e \u0905\u092a\u0928\u0940 \u092a\u094d\u0930\u0949\u0915\u094d\u0938\u0940 \u0938\u0947\u0935\u093e\u0913\u0902 \u092e\u0947\u0902 \u0930\u093f\u0915\u0930\u094d\u0938\u0928 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0948\u0938\u0947 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902<\/a><\/li>\n<\/ul>","protected":false},"featured_media":469333,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-478658","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Recursion<\/mark>","faq_items":[{"question":"What is Recursion?","answer":"<p>Recursion is a technique in mathematics and computer science where a function calls itself directly or indirectly to solve a problem. It can simplify complex problems by breaking them down into smaller, more manageable instances of the same problem.<\/p>"},{"question":"What are the Different Types of Recursion?","answer":"<p>There are several types of recursion, including Direct, Indirect, Tail, and Mutual recursion. Direct recursion occurs when a function calls itself directly, while Indirect recursion involves a function calling another that in turn calls the original. Tail recursion is a special case where the recursive call is the last operation, and Mutual recursion involves two or more functions calling each other recursively.<\/p>"},{"question":"How Does Recursion Work?","answer":"<p>A recursive function generally consists of two parts: the base case(s) and the recursive call. The function continues to call itself with modified parameters until the base case is reached, at which point it begins to return and unravel the recursive calls.<\/p>"},{"question":"What are the Key Features of Recursion?","answer":"<p>Recursion offers simplicity and often leads to cleaner code. However, it can consume more memory, be challenging to debug, and may be less efficient than iterative solutions for some problems.<\/p>"},{"question":"What are the Problems Associated with Recursion, and How Can They be Solved?","answer":"<p>Problems with recursion include the potential for stack overflow, redundancy, and inefficiency. Solutions include using tail recursion, memoization, or switching to iterative alternatives.<\/p>"},{"question":"How are Recursion and Iteration Different?","answer":"<p>While recursion involves a function calling itself to solve a problem, iteration involves the repeated execution of code using loops. Recursion can lead to cleaner but possibly less efficient code, while iteration may be more efficient but potentially more complex.<\/p>"},{"question":"How are Proxy Servers Associated with Recursion?","answer":"<p>Proxy servers like those provided by OneProxy can leverage recursive algorithms for tasks like routing, load balancing, and data filtering. Understanding recursion can lead to better proxy server configuration and management.<\/p>"},{"question":"What are the Future Perspectives of Recursion?","answer":"<p>Recursion continues to be a vital concept with ongoing research in optimizing recursive algorithms. Future technologies may leverage recursion in more complex ways, including applications in quantum computing and artificial intelligence.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/wiki\/478658","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/wiki\/478658\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/media\/469333"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/in\/wp-json\/wp\/v2\/media?parent=478658"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}