{"id":3156,"date":"2025-06-07T07:44:44","date_gmt":"2025-06-07T07:44:44","guid":{"rendered":"https:\/\/diznr.com\/?p=3156"},"modified":"2025-06-07T07:44:44","modified_gmt":"2025-06-07T07:44:44","slug":"day-01-discrete-mathematics-for-computer-science-in-hindi-set-theory-with-understanding-conceptual","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/day-01-discrete-mathematics-for-computer-science-in-hindi-set-theory-with-understanding-conceptual\/","title":{"rendered":"Day 01-Discrete mathematics for computer science in Hindi &#8211; Set theory with conceptual understanding."},"content":{"rendered":"<p>Day 01-Discrete mathematics for computer science in Hindi &#8211; Set theory with conceptual understanding.<\/p>\n<p>[fvplayer id=&#8221;278&#8243;]<\/p>\n<h3 class=\"\" data-start=\"0\" data-end=\"99\"><strong data-start=\"4\" data-end=\"97\">Day 01: \u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u092e\u0947\u091f\u093f\u0915\u094d\u0938 (Discrete Mathematics) &#8211; \u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 (Set Theory) \u0915\u093e \u0915\u093e\u0902\u0938\u0947\u092a\u094d\u091f<\/strong><\/h3>\n<p class=\"\" data-start=\"101\" data-end=\"238\"><strong data-start=\"101\" data-end=\"125\">\u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u092e\u0947\u091f\u093f\u0915\u094d\u0938<\/strong> \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0938\u093e\u0907\u0902\u0938 \u0915\u093e \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u093f\u0938\u094d\u0938\u093e \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 <strong data-start=\"176\" data-end=\"203\">\u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 (Set Theory)<\/strong> \u0915\u0940 \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092d\u0942\u092e\u093f\u0915\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<\/p>\n<h3 data-start=\"245\" data-end=\"275\"><strong data-start=\"248\" data-end=\"273\">\u00a0\u0938\u0947\u091f (Set) \u0915\u094d\u092f\u093e \u0939\u0948?<\/strong><\/h3>\n<p class=\"\" data-start=\"276\" data-end=\"404\">\u0938\u0947\u091f <strong data-start=\"280\" data-end=\"343\">\u0938\u092e\u093e\u0928 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u0938\u094d\u092a\u0937\u094d\u091f \u0914\u0930 \u092d\u093f\u0928\u094d\u0928 \u0935\u0938\u094d\u0924\u0941\u0913\u0902 (objects) \u0915\u093e \u090f\u0915 \u0938\u092e\u0942\u0939<\/strong> \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0947 <strong data-start=\"357\" data-end=\"380\">Flower Brackets { }<\/strong> \u0915\u0947 \u0905\u0902\u0926\u0930 \u0932\u093f\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<p class=\"\" data-start=\"406\" data-end=\"422\"><strong data-start=\"406\" data-end=\"420\">\u00a0\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><\/p>\n<ul data-start=\"423\" data-end=\"535\">\n<li class=\"\" data-start=\"423\" data-end=\"450\">\n<p class=\"\" data-start=\"425\" data-end=\"450\"><strong data-start=\"425\" data-end=\"448\">A = {1, 2, 3, 4, 5}<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"451\" data-end=\"491\">\n<p class=\"\" data-start=\"453\" data-end=\"491\"><strong data-start=\"453\" data-end=\"476\">B = {a, e, i, o, u}<\/strong> (Vowels Set)<\/p>\n<\/li>\n<li class=\"\" data-start=\"492\" data-end=\"535\">\n<p class=\"\" data-start=\"494\" data-end=\"535\"><strong data-start=\"494\" data-end=\"520\">C = {Red, Green, Blue}<\/strong> (Colors Set)<\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"542\" data-end=\"597\"><strong data-start=\"545\" data-end=\"595\">\u00a0\u0938\u0947\u091f \u0915\u0940 \u092e\u0941\u0916\u094d\u092f \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0901 (Properties of Sets)<\/strong><\/h3>\n<p class=\"\" data-start=\"598\" data-end=\"792\"><strong data-start=\"602\" data-end=\"631\">\u0938\u092d\u0940 \u0924\u0924\u094d\u0935 \u0905\u0932\u0917-\u0905\u0932\u0917 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902<\/strong> (Duplicates Allowed \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u0947)\u0964<br data-start=\"663\" data-end=\"666\" \/><strong data-start=\"670\" data-end=\"711\">\u0938\u0947\u091f \u0915\u0947 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u093e \u0915\u094d\u0930\u092e \u092e\u093e\u092f\u0928\u0947 \u0928\u0939\u0940\u0902 \u0930\u0916\u0924\u093e<\/strong> (Order Doesn\u2019t Matter)\u0964<br data-start=\"735\" data-end=\"738\" \/><strong data-start=\"742\" data-end=\"790\">\u0938\u0947\u091f \u0915\u094b Flower Brackets { } \u092e\u0947\u0902 \u0932\u093f\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/strong><\/p>\n<h3 data-start=\"799\" data-end=\"840\"><strong data-start=\"802\" data-end=\"838\">\u00a0\u0938\u0947\u091f \u0915\u0947 \u092a\u094d\u0930\u0915\u093e\u0930 (Types of Sets)<\/strong><\/h3>\n<div class=\"overflow-x-auto contain-inline-size\">\n<table data-start=\"842\" data-end=\"1673\">\n<thead data-start=\"842\" data-end=\"887\">\n<tr data-start=\"842\" data-end=\"887\">\n<th data-start=\"842\" data-end=\"859\"><strong data-start=\"844\" data-end=\"858\">\u0938\u0947\u091f \u0915\u093e \u0928\u093e\u092e<\/strong><\/th>\n<th data-start=\"859\" data-end=\"873\"><strong data-start=\"861\" data-end=\"872\">\u092a\u0930\u093f\u092d\u093e\u0937\u093e<\/strong><\/th>\n<th data-start=\"873\" data-end=\"887\"><strong data-start=\"875\" data-end=\"885\">\u0909\u0926\u093e\u0939\u0930\u0923<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody data-start=\"928\" data-end=\"1673\">\n<tr data-start=\"928\" data-end=\"1017\">\n<td><strong data-start=\"934\" data-end=\"967\">\u0916\u093e\u0932\u0940 \u0938\u0947\u091f (Null Set\/Empty Set)<\/strong><\/td>\n<td>\u0910\u0938\u093e \u0938\u0947\u091f \u091c\u093f\u0938\u092e\u0947\u0902 \u0915\u094b\u0908 \u092d\u0940 \u0924\u0924\u094d\u0935 \u0928\u0939\u0940\u0902 \u0939\u094b\u0964<\/td>\n<td>A = { }<\/td>\n<\/tr>\n<tr data-start=\"1018\" data-end=\"1114\">\n<td><strong data-start=\"1024\" data-end=\"1052\">\u0938\u092e\u093e\u092a\u094d\u0924\u093f \u0938\u0947\u091f (Finite Set)<\/strong><\/td>\n<td>\u0910\u0938\u093e \u0938\u0947\u091f \u091c\u093f\u0938\u092e\u0947\u0902 \u0917\u093f\u0928\u0924\u0940 \u0915\u0947 \u0924\u0924\u094d\u0935 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/td>\n<td>B = {1, 2, 3, 4}<\/td>\n<\/tr>\n<tr data-start=\"1115\" data-end=\"1223\">\n<td><strong data-start=\"1121\" data-end=\"1150\">\u0905\u0938\u0940\u092e\u093f\u0924 \u0938\u0947\u091f (Infinite Set)<\/strong><\/td>\n<td>\u0910\u0938\u093e \u0938\u0947\u091f \u091c\u093f\u0938\u092e\u0947\u0902 \u0905\u0928\u0917\u093f\u0928\u0924 \u0924\u0924\u094d\u0935 \u0939\u094b\u0902\u0964<\/td>\n<td>C = {1, 2, 3, \u2026} (Natural Numbers)<\/td>\n<\/tr>\n<tr data-start=\"1224\" data-end=\"1341\">\n<td><strong data-start=\"1230\" data-end=\"1254\">\u0938\u092e\u093e\u0928 \u0938\u0947\u091f (Equal Set)<\/strong><\/td>\n<td>\u0926\u094b \u0938\u0947\u091f \u0938\u092e\u093e\u0928 \u0939\u094b\u0902 \u0905\u0917\u0930 \u0909\u0928\u0915\u0947 \u0938\u092d\u0940 \u0924\u0924\u094d\u0935 \u0938\u092e\u093e\u0928 \u0939\u094b\u0902\u0964<\/td>\n<td>A = {2, 3, 4}, B = {4, 3, 2} (A = B)<\/td>\n<\/tr>\n<tr data-start=\"1342\" data-end=\"1451\">\n<td><strong data-start=\"1348\" data-end=\"1366\">\u0938\u092c\u0938\u0948\u091f (Subset)<\/strong><\/td>\n<td>\u0905\u0917\u0930 A \u0915\u093e \u0939\u0930 \u0924\u0924\u094d\u0935 B \u092e\u0947\u0902 \u0939\u094b, \u0924\u094b A \u2286 B \u0939\u094b\u0917\u093e\u0964<\/td>\n<td>A = {1, 2}, B = {1, 2, 3, 4} (A \u2286 B)<\/td>\n<\/tr>\n<tr data-start=\"1452\" data-end=\"1568\">\n<td><strong data-start=\"1458\" data-end=\"1481\">\u0938\u0941\u092a\u0930 \u0938\u0947\u091f (Superset)<\/strong><\/td>\n<td>\u0905\u0917\u0930 B \u092e\u0947\u0902 A \u0915\u0947 \u0938\u092d\u0940 \u0924\u0924\u094d\u0935 \u0939\u094b\u0902, \u0924\u094b B \u2287 A \u0939\u094b\u0917\u093e\u0964<\/td>\n<td>B = {1, 2, 3, 4}, A = {1, 2} (B \u2287 A)<\/td>\n<\/tr>\n<tr data-start=\"1569\" data-end=\"1673\">\n<td><strong data-start=\"1575\" data-end=\"1608\">\u092f\u0942\u0928\u093f\u0935\u0930\u094d\u0938\u0932 \u0938\u0947\u091f (Universal Set)<\/strong><\/td>\n<td>\u0938\u092d\u0940 \u0938\u0947\u091f \u0915\u093e \u090f\u0915 \u0938\u0902\u092f\u0941\u0915\u094d\u0924 \u0938\u0947\u091f\u0964<\/td>\n<td>U = {1, 2, 3, 4, 5, 6, 7, 8, 9}<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h3 data-start=\"1680\" data-end=\"1719\"><strong data-start=\"1683\" data-end=\"1717\">\u00a0\u0938\u0947\u091f \u0911\u092a\u0930\u0947\u0936\u0928 (Set Operations)<\/strong><\/h3>\n<p class=\"\" data-start=\"1720\" data-end=\"1887\"><strong data-start=\"1720\" data-end=\"1750\">\u00a0\u092f\u0942\u0928\u093f\u092f\u0928 (Union) (A \u222a B)<\/strong><br data-start=\"1750\" data-end=\"1753\" \/><strong data-start=\"1756\" data-end=\"1787\">A \u0914\u0930 B \u0915\u0947 \u0938\u092d\u0940 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u093e \u0938\u0947\u091f<\/strong> (\u0938\u092d\u0940 Unique Elements)<br data-start=\"1809\" data-end=\"1812\" \/><strong data-start=\"1812\" data-end=\"1827\">\u00a0Example:<\/strong><br data-start=\"1827\" data-end=\"1830\" \/>A = {1, 2, 3}<br data-start=\"1843\" data-end=\"1846\" \/>B = {3, 4, 5}<br data-start=\"1859\" data-end=\"1862\" \/>A \u222a B = {1, 2, 3, 4, 5}<\/p>\n<p class=\"\" data-start=\"1889\" data-end=\"2031\"><strong data-start=\"1889\" data-end=\"1930\">\u00a0\u0907\u0902\u091f\u0930\u0938\u0947\u0915\u094d\u0936\u0928 (Intersection) (A \u2229 B)<\/strong><br data-start=\"1930\" data-end=\"1933\" \/><strong data-start=\"1936\" data-end=\"1965\">A \u0914\u0930 B \u0915\u0947 Common Elements<\/strong><br data-start=\"1965\" data-end=\"1968\" \/><strong data-start=\"1968\" data-end=\"1983\">\u00a0Example:<\/strong><br data-start=\"1983\" data-end=\"1986\" \/>A = {1, 2, 3}<br data-start=\"1999\" data-end=\"2002\" \/>B = {3, 4, 5}<br data-start=\"2015\" data-end=\"2018\" \/>A \u2229 B = {3}<\/p>\n<p class=\"\" data-start=\"2033\" data-end=\"2177\"><strong data-start=\"2033\" data-end=\"2069\">\u00a0\u0921\u093f\u092b\u0930\u0947\u0902\u0938 (Difference) (A &#8211; B)<\/strong><br data-start=\"2069\" data-end=\"2072\" \/><strong data-start=\"2075\" data-end=\"2108\">A \u092e\u0947\u0902 \u092e\u094c\u091c\u0942\u0926, \u0932\u0947\u0915\u093f\u0928 B \u092e\u0947\u0902 \u0928\u0939\u0940\u0902<\/strong><br data-start=\"2108\" data-end=\"2111\" \/><strong data-start=\"2111\" data-end=\"2126\">\u00a0Example:<\/strong><br data-start=\"2126\" data-end=\"2129\" \/>A = {1, 2, 3}<br data-start=\"2142\" data-end=\"2145\" \/>B = {3, 4, 5}<br data-start=\"2158\" data-end=\"2161\" \/>A &#8211; B = {1, 2}<\/p>\n<p class=\"\" data-start=\"2179\" data-end=\"2337\"><strong data-start=\"2179\" data-end=\"2216\">\u00a0\u0915\u092e\u094d\u092a\u094d\u0932\u0940\u092e\u0947\u0902\u091f (Complement) (A&#8217;)<\/strong><br data-start=\"2216\" data-end=\"2219\" \/><strong data-start=\"2222\" data-end=\"2259\">\u092f\u0942\u0928\u093f\u0935\u0930\u094d\u0938\u0932 \u0938\u0947\u091f \u092e\u0947\u0902 \u0938\u0947 A \u0915\u094b \u0939\u091f\u093e \u0926\u0947\u0902<\/strong><br data-start=\"2259\" data-end=\"2262\" \/><strong data-start=\"2262\" data-end=\"2277\">\u00a0Example:<\/strong><br data-start=\"2277\" data-end=\"2280\" \/>U = {1, 2, 3, 4, 5, 6}<br data-start=\"2302\" data-end=\"2305\" \/>A = {2, 3}<br data-start=\"2315\" data-end=\"2318\" \/>A&#8217; = {1, 4, 5, 6}<\/p>\n<h3 data-start=\"2344\" data-end=\"2383\"><strong data-start=\"2347\" data-end=\"2381\">\u00a0\u0935\u0947\u0928 \u0921\u093e\u092f\u0917\u094d\u0930\u093e\u092e (Venn Diagram)<\/strong><\/h3>\n<p class=\"\" data-start=\"2384\" data-end=\"2465\"><strong data-start=\"2384\" data-end=\"2400\">Venn Diagram<\/strong> \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0938\u0947\u091f\u094d\u0938 \u0915\u094b <strong data-start=\"2419\" data-end=\"2434\">Graphically<\/strong> \u0926\u0930\u094d\u0936\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<p class=\"\" data-start=\"2467\" data-end=\"2610\"><strong data-start=\"2469\" data-end=\"2504\">\u0938\u0930\u094d\u0915\u0932 \u0938\u0947 \u0938\u0947\u091f \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948<\/strong><br data-start=\"2504\" data-end=\"2507\" \/><strong data-start=\"2509\" data-end=\"2561\">\u092f\u0942\u0928\u093f\u0935\u0930\u094d\u0938\u0932 \u0938\u0947\u091f (U) \u0915\u094b \u090f\u0915 \u092c\u0921\u093c\u0947 \u092c\u0949\u0915\u094d\u0938 \u0938\u0947 \u0926\u093f\u0916\u093e\u0924\u0947 \u0939\u0948\u0902<\/strong><br data-start=\"2561\" data-end=\"2564\" \/><strong data-start=\"2566\" data-end=\"2608\">\u0907\u0902\u091f\u0930\u0938\u0947\u0915\u094d\u0936\u0928 \u092e\u0947\u0902 \u0915\u0949\u092e\u0928 \u090f\u0932\u093f\u092e\u0947\u0902\u091f\u094d\u0938 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902<\/strong><\/p>\n<h3 data-start=\"2617\" data-end=\"2679\"><strong data-start=\"2620\" data-end=\"2677\">\u00a0\u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 \u0915\u0947 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0928\u093f\u092f\u092e (Laws in Set Theory)<\/strong><\/h3>\n<p class=\"\" data-start=\"2680\" data-end=\"2703\"><strong data-start=\"2682\" data-end=\"2701\">Idempotent Law:<\/strong><\/p>\n<ul data-start=\"2707\" data-end=\"2737\">\n<li class=\"\" data-start=\"2707\" data-end=\"2720\">\n<p class=\"\" data-start=\"2709\" data-end=\"2720\">A \u222a A = A<\/p>\n<\/li>\n<li class=\"\" data-start=\"2724\" data-end=\"2737\">\n<p class=\"\" data-start=\"2726\" data-end=\"2737\">A \u2229 A = A<\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"2739\" data-end=\"2760\"><strong data-start=\"2741\" data-end=\"2758\">Identity Law:<\/strong><\/p>\n<ul data-start=\"2764\" data-end=\"2794\">\n<li class=\"\" data-start=\"2764\" data-end=\"2777\">\n<p class=\"\" data-start=\"2766\" data-end=\"2777\">A \u222a \u2205 = A<\/p>\n<\/li>\n<li class=\"\" data-start=\"2781\" data-end=\"2794\">\n<p class=\"\" data-start=\"2783\" data-end=\"2794\">A \u2229 U = A<\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"2796\" data-end=\"2819\"><strong data-start=\"2798\" data-end=\"2817\">Domination Law:<\/strong><\/p>\n<ul data-start=\"2823\" data-end=\"2853\">\n<li class=\"\" data-start=\"2823\" data-end=\"2836\">\n<p class=\"\" data-start=\"2825\" data-end=\"2836\">A \u222a U = U<\/p>\n<\/li>\n<li class=\"\" data-start=\"2840\" data-end=\"2853\">\n<p class=\"\" data-start=\"2842\" data-end=\"2853\">A \u2229 \u2205 = \u2205<\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"2855\" data-end=\"2879\"><strong data-start=\"2857\" data-end=\"2877\">Commutative Law:<\/strong><\/p>\n<ul data-start=\"2883\" data-end=\"2921\">\n<li class=\"\" data-start=\"2883\" data-end=\"2900\">\n<p class=\"\" data-start=\"2885\" data-end=\"2900\">A \u222a B = B \u222a A<\/p>\n<\/li>\n<li class=\"\" data-start=\"2904\" data-end=\"2921\">\n<p class=\"\" data-start=\"2906\" data-end=\"2921\">A \u2229 B = B \u2229 A<\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"2923\" data-end=\"2947\"><strong data-start=\"2925\" data-end=\"2945\">Associative Law:<\/strong><\/p>\n<ul data-start=\"2951\" data-end=\"3013\">\n<li class=\"\" data-start=\"2951\" data-end=\"2980\">\n<p class=\"\" data-start=\"2953\" data-end=\"2980\">(A \u222a B) \u222a C = A \u222a (B \u222a C)<\/p>\n<\/li>\n<li class=\"\" data-start=\"2984\" data-end=\"3013\">\n<p class=\"\" data-start=\"2986\" data-end=\"3013\">(A \u2229 B) \u2229 C = A \u2229 (B \u2229 C)<\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"3015\" data-end=\"3040\"><strong data-start=\"3017\" data-end=\"3038\">Distributive Law:<\/strong><\/p>\n<ul data-start=\"3044\" data-end=\"3118\">\n<li class=\"\" data-start=\"3044\" data-end=\"3079\">\n<p class=\"\" data-start=\"3046\" data-end=\"3079\">A \u2229 (B \u222a C) = (A \u2229 B) \u222a (A \u2229 C)<\/p>\n<\/li>\n<li class=\"\" data-start=\"3083\" data-end=\"3118\">\n<p class=\"\" data-start=\"3085\" data-end=\"3118\">A \u222a (B \u2229 C) = (A \u222a B) \u2229 (A \u222a C)<\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"3125\" data-end=\"3209\"><strong data-start=\"3128\" data-end=\"3207\">\u00a0\u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 \u0915\u0947 \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0938\u093e\u0907\u0902\u0938 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917 (Application in Computer Science)<\/strong><\/h3>\n<p class=\"\" data-start=\"3210\" data-end=\"3432\"><strong data-start=\"3212\" data-end=\"3230\">\u0921\u0947\u091f\u093e \u0938\u094d\u091f\u094d\u0930\u0915\u094d\u091a\u0930<\/strong> \u2013 Arrays, Sets, Hash Tables<br data-start=\"3258\" data-end=\"3261\" \/><strong data-start=\"3263\" data-end=\"3281\">\u0921\u0947\u091f\u093e\u092c\u0947\u0938 \u0915\u094d\u0935\u0947\u0930\u0940<\/strong> \u2013 SQL \u092e\u0947\u0902 JOIN \u0911\u092a\u0930\u0947\u0936\u0928<br data-start=\"3303\" data-end=\"3306\" \/><strong data-start=\"3308\" data-end=\"3325\">\u0932\u0949\u091c\u093f\u0915 \u0921\u093f\u091c\u093c\u093e\u0907\u0928<\/strong> \u2013 Boolean Algebra<br data-start=\"3343\" data-end=\"3346\" \/><strong data-start=\"3348\" data-end=\"3364\">\u092e\u0936\u0940\u0928 \u0932\u0930\u094d\u0928\u093f\u0902\u0917<\/strong> \u2013 \u0915\u0938\u094d\u091f\u092e\u0930 \u0915\u094d\u0932\u0938\u094d\u091f\u0930\u093f\u0902\u0917<br data-start=\"3384\" data-end=\"3387\" \/><strong data-start=\"3389\" data-end=\"3407\">\u0915\u0902\u092a\u093e\u0907\u0932\u0930 \u0921\u093f\u091c\u093e\u0907\u0928<\/strong> \u2013 Token Classification<\/p>\n<h3 data-start=\"3439\" data-end=\"3485\"><strong data-start=\"3442\" data-end=\"3483\">\u00a0\u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 \u092a\u0930 PYTHON \u0915\u094b\u0921\u093f\u0902\u0917 \u0909\u0926\u093e\u0939\u0930\u0923<\/strong><\/h3>\n<div class=\"contain-inline-size rounded-md border-[0.5px] border-token-border-medium relative bg-token-sidebar-surface-primary\">\n<div class=\"overflow-y-auto p-4\" dir=\"ltr\">\n<p><code class=\"!whitespace-pre language-python\"><span class=\"hljs-comment\"># Python program for Set Operations<\/span><\/code><\/p>\n<p>A = {<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">4<\/span>}<br \/>\nB = {<span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">6<\/span>}<\/p>\n<p><span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">&#8220;Union:&#8221;<\/span>, A | B) <span class=\"hljs-comment\"># A \u222a B<\/span><br \/>\n<span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">&#8220;Intersection:&#8221;<\/span>, A &amp; B) <span class=\"hljs-comment\"># A \u2229 B<\/span><br \/>\n<span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">&#8220;Difference A-B:&#8221;<\/span>, A &#8211; B) <span class=\"hljs-comment\"># A &#8211; B<\/span><br \/>\n<span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">&#8220;Difference B-A:&#8221;<\/span>, B &#8211; A) <span class=\"hljs-comment\"># B &#8211; A<\/span><br \/>\n<span class=\"hljs-built_in\">print<\/span>(<span class=\"hljs-string\">&#8220;Symmetric Difference:&#8221;<\/span>, A ^ B) <span class=\"hljs-comment\"># (A &#8211; B) \u222a (B &#8211; A)<\/span><\/p>\n<\/div>\n<\/div>\n<p class=\"\" data-start=\"3789\" data-end=\"3802\"><strong data-start=\"3789\" data-end=\"3800\">Output:<\/strong><\/p>\n<div class=\"contain-inline-size rounded-md border-[0.5px] border-token-border-medium relative bg-token-sidebar-surface-primary\">\n<div class=\"overflow-y-auto p-4\" dir=\"ltr\"><code class=\"!whitespace-pre\">Union: {<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">6<\/span>}<br \/>\nIntersection: {<span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">4<\/span>}<br \/>\nDifference <span class=\"hljs-selector-tag\">A<\/span>-<span class=\"hljs-selector-tag\">B<\/span>: {<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">2<\/span>}<br \/>\nDifference <span class=\"hljs-selector-tag\">B<\/span>-<span class=\"hljs-selector-tag\">A<\/span>: {<span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">6<\/span>}<br \/>\nSymmetric Difference: {<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">5<\/span>, <span class=\"hljs-number\">6<\/span>}<br \/>\n<\/code><\/div>\n<\/div>\n<h3 class=\"\" data-start=\"3945\" data-end=\"3980\"><strong data-start=\"3949\" data-end=\"3978\">\u00a0\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 (Conclusion):<\/strong><\/h3>\n<p class=\"\" data-start=\"3981\" data-end=\"4184\"><strong data-start=\"3981\" data-end=\"3995\">\u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940<\/strong> <strong data-start=\"3996\" data-end=\"4020\">\u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u092e\u0947\u091f\u093f\u0915\u094d\u0938<\/strong> \u0915\u093e \u090f\u0915 \u092e\u0942\u0932\u092d\u0942\u0924 \u0939\u093f\u0938\u094d\u0938\u093e \u0939\u0948, \u091c\u093f\u0938\u0915\u093e <strong data-start=\"4051\" data-end=\"4084\">\u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0938\u093e\u0907\u0902\u0938 \u092e\u0947\u0902 \u092c\u0921\u093c\u093e \u0909\u092a\u092f\u094b\u0917<\/strong> \u0939\u0948\u0964 <strong data-start=\"4089\" data-end=\"4138\">\u0921\u0947\u091f\u093e \u0938\u0902\u0930\u091a\u0928\u093e, \u092e\u0936\u0940\u0928 \u0932\u0930\u094d\u0928\u093f\u0902\u0917, \u0914\u0930 \u0915\u0902\u092a\u093e\u0907\u0932\u0930 \u0921\u093f\u091c\u093c\u093e\u0907\u0928<\/strong> \u092e\u0947\u0902 \u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092d\u0942\u092e\u093f\u0915\u093e \u0928\u093f\u092d\u093e\u0924\u0940 \u0939\u0948\u0964<\/p>\n<p class=\"\" data-start=\"4186\" data-end=\"4227\">\u00a0<strong data-start=\"4188\" data-end=\"4227\" data-is-last-node=\"\">\u0905\u0917\u0930 \u0915\u094b\u0908 \u0938\u0935\u093e\u0932 \u0939\u0948 \u0924\u094b \u092c\u0947\u091d\u093f\u091d\u0915 \u092a\u0942\u091b\u0947\u0902!<\/strong><\/p>\n<h3 data-start=\"4186\" data-end=\"4227\"><a href=\"https:\/\/www2.cs.uh.edu\/~arjun\/courses\/ds\/DiscMaths4CompSc.pdf\" target=\"_blank\" rel=\"noopener\">Day 01-Discrete mathematics for computer science in Hindi &#8211; Set theory with conceptual understanding.<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/www.uou.ac.in\/sites\/default\/files\/slm\/MCS-501.pdf\" target=\"_blank\" rel=\"noopener\">Title Discrete Mathematics Author Prof. Abhay Saxena &#8230;<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/elearn.daffodilvarsity.edu.bd\/pluginfile.php\/2007107\/mod_resource\/intro\/Discrete%20Mathematics%20and%20Its%20Applications%2C%207%20edition%20-%20Rosen.pdf\" target=\"_blank\" rel=\"noopener\">Discrete Mathematics and Its Applications, &#8230;<\/a><\/h3>\n<p data-start=\"0\" data-end=\"35\">Here\u2019s a structured explanation of:<\/p>\n<hr data-start=\"37\" data-end=\"40\" \/>\n<h2 data-start=\"42\" data-end=\"115\">\ud83d\udcd8 <strong data-start=\"48\" data-end=\"113\">Day 01 \u2013 Discrete Mathematics for Computer Science (in Hindi)<\/strong><\/h2>\n<h3 data-start=\"116\" data-end=\"167\">\ud83d\udd39 <em data-start=\"123\" data-end=\"165\">Set Theory with Conceptual Understanding<\/em><\/h3>\n<p data-start=\"168\" data-end=\"230\">\ud83c\udfaf <strong data-start=\"171\" data-end=\"230\">Language: Hindi + English (Bilingual for easy learning)<\/strong><\/p>\n<hr data-start=\"232\" data-end=\"235\" \/>\n<h3 data-start=\"237\" data-end=\"289\">\ud83e\udde0 <strong data-start=\"244\" data-end=\"289\">What is Set Theory? \/ \u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 \u0915\u094d\u092f\u093e \u0939\u0948?<\/strong><\/h3>\n<p data-start=\"291\" data-end=\"394\"><strong data-start=\"291\" data-end=\"305\">Set theory<\/strong> is the branch of mathematics that deals with <strong data-start=\"351\" data-end=\"376\">collection of objects<\/strong>, called <strong data-start=\"385\" data-end=\"393\">sets<\/strong>.<\/p>\n<blockquote data-start=\"396\" data-end=\"516\">\n<p data-start=\"398\" data-end=\"516\"><strong data-start=\"398\" data-end=\"405\">Set<\/strong>: \u090f\u0915 \u0910\u0938\u093e \u0938\u0902\u0917\u094d\u0930\u0939 (collection) \u091c\u093f\u0938\u092e\u0947\u0902 \u0915\u0941\u091b well-defined \u0935\u0938\u094d\u0924\u0941\u090f\u0901 (elements) \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964<br data-start=\"486\" data-end=\"489\" \/>Example: A = {1, 2, 3, 4}<\/p>\n<\/blockquote>\n<hr data-start=\"518\" data-end=\"521\" \/>\n<h3 data-start=\"523\" data-end=\"569\">\ud83d\udd24 <strong data-start=\"530\" data-end=\"569\">Basic Terminologies \/ \u092e\u0942\u0932 \u0936\u092c\u094d\u0926\u093e\u0935\u0932\u0940:<\/strong><\/h3>\n<div class=\"_tableContainer_16hzy_1\">\n<div class=\"_tableWrapper_16hzy_14 group flex w-fit flex-col-reverse\">\n<table class=\"w-fit min-w-(--thread-content-width)\" data-start=\"571\" data-end=\"1027\">\n<thead data-start=\"571\" data-end=\"621\">\n<tr data-start=\"571\" data-end=\"621\">\n<th data-start=\"571\" data-end=\"590\" data-col-size=\"sm\">English Term<\/th>\n<th data-start=\"590\" data-end=\"621\" data-col-size=\"sm\">Hindi Meaning<\/th>\n<\/tr>\n<\/thead>\n<tbody data-start=\"673\" data-end=\"1027\">\n<tr data-start=\"673\" data-end=\"723\">\n<td data-start=\"673\" data-end=\"692\" data-col-size=\"sm\">Set<\/td>\n<td data-start=\"692\" data-end=\"723\" data-col-size=\"sm\">\u0938\u092e\u0941\u091a\u094d\u091a\u092f<\/td>\n<\/tr>\n<tr data-start=\"724\" data-end=\"774\">\n<td data-start=\"724\" data-end=\"743\" data-col-size=\"sm\">Element<\/td>\n<td data-start=\"743\" data-end=\"774\" data-col-size=\"sm\">\u0924\u0924\u094d\u0924\u094d\u0935<\/td>\n<\/tr>\n<tr data-start=\"775\" data-end=\"824\">\n<td data-start=\"775\" data-end=\"794\" data-col-size=\"sm\">Subset<\/td>\n<td data-start=\"794\" data-end=\"824\" data-col-size=\"sm\">\u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f<\/td>\n<\/tr>\n<tr data-start=\"825\" data-end=\"874\">\n<td data-start=\"825\" data-end=\"844\" data-col-size=\"sm\">Universal Set<\/td>\n<td data-start=\"844\" data-end=\"874\" data-col-size=\"sm\">\u0938\u093e\u0930\u094d\u0935\u0924\u094d\u0930\u093f\u0915 \u0938\u092e\u0941\u091a\u094d\u091a\u092f<\/td>\n<\/tr>\n<tr data-start=\"875\" data-end=\"924\">\n<td data-start=\"875\" data-end=\"894\" data-col-size=\"sm\">Null Set<\/td>\n<td data-start=\"894\" data-end=\"924\" data-col-size=\"sm\">\u0930\u093f\u0915\u094d\u0924 \u0938\u092e\u0941\u091a\u094d\u091a\u092f (\u2205)<\/td>\n<\/tr>\n<tr data-start=\"925\" data-end=\"976\">\n<td data-start=\"925\" data-end=\"944\" data-col-size=\"sm\">Cardinality<\/td>\n<td data-start=\"944\" data-end=\"976\" data-col-size=\"sm\">\u0924\u0924\u094d\u0924\u094d\u0935\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e<\/td>\n<\/tr>\n<tr data-start=\"977\" data-end=\"1027\">\n<td data-start=\"977\" data-end=\"996\" data-col-size=\"sm\">Power Set<\/td>\n<td data-start=\"996\" data-end=\"1027\" data-col-size=\"sm\">\u0938\u092d\u0940 subsets \u0915\u093e \u0938\u092e\u0941\u091a\u094d\u091a\u092f<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"sticky end-(--thread-content-margin) h-0 self-end select-none\">\n<div class=\"absolute end-0 flex items-end\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<hr data-start=\"1029\" data-end=\"1032\" \/>\n<h3 data-start=\"1034\" data-end=\"1081\">\ud83d\udd23 <strong data-start=\"1041\" data-end=\"1081\">Types of Sets \/ \u0938\u092e\u0941\u091a\u094d\u091a\u092f\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0915\u093e\u0930:<\/strong><\/h3>\n<ol data-start=\"1083\" data-end=\"1347\">\n<li data-start=\"1083\" data-end=\"1139\">\n<p data-start=\"1086\" data-end=\"1139\"><strong data-start=\"1086\" data-end=\"1100\">Finite Set<\/strong> (\u092a\u0930\u093f\u092e\u093f\u0924 \u0938\u092e\u0941\u091a\u094d\u091a\u092f)<br data-start=\"1117\" data-end=\"1120\" \/>A = {1, 2, 3, 4}<\/p>\n<\/li>\n<li data-start=\"1141\" data-end=\"1215\">\n<p data-start=\"1144\" data-end=\"1215\"><strong data-start=\"1144\" data-end=\"1160\">Infinite Set<\/strong> (\u0905\u092a\u0930\u093f\u092e\u093f\u0924 \u0938\u092e\u0941\u091a\u094d\u091a\u092f)<br data-start=\"1178\" data-end=\"1181\" \/>B = {x | x is a natural number}<\/p>\n<\/li>\n<li data-start=\"1217\" data-end=\"1285\">\n<p data-start=\"1220\" data-end=\"1285\"><strong data-start=\"1220\" data-end=\"1234\">Equal Sets<\/strong> (\u0938\u092e\u093e\u0928 \u0938\u092e\u0941\u091a\u094d\u091a\u092f)<br data-start=\"1249\" data-end=\"1252\" \/>A = {1, 2}, B = {2, 1} \u21d2 A = B<\/p>\n<\/li>\n<li data-start=\"1287\" data-end=\"1347\">\n<p data-start=\"1290\" data-end=\"1347\"><strong data-start=\"1290\" data-end=\"1314\">Null Set \/ Empty Set<\/strong> (\u0930\u093f\u0915\u094d\u0924 \u0938\u092e\u0941\u091a\u094d\u091a\u092f)<br data-start=\"1330\" data-end=\"1333\" \/>C = \u2205 or {}<\/p>\n<\/li>\n<\/ol>\n<hr data-start=\"1349\" data-end=\"1352\" \/>\n<h3 data-start=\"1354\" data-end=\"1406\">\ud83d\udd17 <strong data-start=\"1361\" data-end=\"1406\">Set Operations \/ \u0938\u092e\u0941\u091a\u094d\u091a\u092f\u094b\u0902 \u092a\u0930 \u0938\u0902\u0915\u094d\u0930\u093f\u092f\u093e\u090f\u0901:<\/strong><\/h3>\n<div class=\"_tableContainer_16hzy_1\">\n<div class=\"_tableWrapper_16hzy_14 group flex w-fit flex-col-reverse\">\n<table class=\"w-fit min-w-(--thread-content-width)\" data-start=\"1408\" data-end=\"1984\">\n<thead data-start=\"1408\" data-end=\"1503\">\n<tr data-start=\"1408\" data-end=\"1503\">\n<th data-start=\"1408\" data-end=\"1429\" data-col-size=\"sm\">Operation<\/th>\n<th data-start=\"1429\" data-end=\"1438\" data-col-size=\"sm\">Symbol<\/th>\n<th data-start=\"1438\" data-end=\"1465\" data-col-size=\"sm\">Hindi Name<\/th>\n<th data-start=\"1465\" data-end=\"1503\" data-col-size=\"sm\">Example<\/th>\n<\/tr>\n<\/thead>\n<tbody data-start=\"1602\" data-end=\"1984\">\n<tr data-start=\"1602\" data-end=\"1697\">\n<td data-start=\"1602\" data-end=\"1623\" data-col-size=\"sm\">Union<\/td>\n<td data-start=\"1623\" data-end=\"1632\" data-col-size=\"sm\">A \u222a B<\/td>\n<td data-start=\"1632\" data-end=\"1658\" data-col-size=\"sm\">\u0938\u0902\u092f\u0941\u0915\u094d\u0924 \u0938\u092e\u0941\u091a\u094d\u091a\u092f<\/td>\n<td data-start=\"1658\" data-end=\"1697\" data-col-size=\"sm\">{1,2} \u222a {2,3} = {1,2,3}<\/td>\n<\/tr>\n<tr data-start=\"1698\" data-end=\"1794\">\n<td data-start=\"1698\" data-end=\"1719\" data-col-size=\"sm\">Intersection<\/td>\n<td data-start=\"1719\" data-end=\"1728\" data-col-size=\"sm\">A \u2229 B<\/td>\n<td data-start=\"1728\" data-end=\"1755\" data-col-size=\"sm\">\u0938\u093e\u091d\u093e \u0924\u0924\u094d\u0924\u094d\u0935<\/td>\n<td data-start=\"1755\" data-end=\"1794\" data-col-size=\"sm\">{1,2} \u2229 {2,3} = {2}<\/td>\n<\/tr>\n<tr data-start=\"1795\" data-end=\"1889\">\n<td data-start=\"1795\" data-end=\"1816\" data-col-size=\"sm\">Difference<\/td>\n<td data-start=\"1816\" data-end=\"1825\" data-col-size=\"sm\">A \u2013 B<\/td>\n<td data-start=\"1825\" data-end=\"1851\" data-col-size=\"sm\">A \u0938\u0947 B \u0915\u0947 \u0924\u0924\u094d\u0924\u094d\u0935 \u0939\u091f\u093e\u090f\u0901<\/td>\n<td data-start=\"1851\" data-end=\"1889\" data-col-size=\"sm\">{1,2,3} \u2013 {2,3} = {1}<\/td>\n<\/tr>\n<tr data-start=\"1890\" data-end=\"1984\">\n<td data-start=\"1890\" data-end=\"1911\" data-col-size=\"sm\">Complement<\/td>\n<td data-start=\"1911\" data-end=\"1920\" data-col-size=\"sm\">A&#8217;<\/td>\n<td data-start=\"1920\" data-end=\"1946\" data-col-size=\"sm\">A \u0915\u0947 \u092c\u093e\u0939\u0930 \u0915\u0947 \u0924\u0924\u094d\u0924\u094d\u0935<\/td>\n<td data-start=\"1946\" data-end=\"1984\" data-col-size=\"sm\">Universal Set \u2013 A<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"sticky end-(--thread-content-margin) h-0 self-end select-none\">\n<div class=\"absolute end-0 flex items-end\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<hr data-start=\"1986\" data-end=\"1989\" \/>\n<h3 data-start=\"1991\" data-end=\"2023\">\ud83e\uddee <strong data-start=\"1998\" data-end=\"2023\">Power Set \/ \u092a\u0949\u0935\u0930 \u0938\u0947\u091f:<\/strong><\/h3>\n<blockquote data-start=\"2025\" data-end=\"2151\">\n<p data-start=\"2027\" data-end=\"2151\">A = {1, 2}<br data-start=\"2037\" data-end=\"2040\" \/>Power Set of A = P(A) = {\u2205, {1}, {2}, {1,2}}<br data-start=\"2086\" data-end=\"2089\" \/><strong data-start=\"2091\" data-end=\"2151\">Cardinality of Power Set = 2\u207f, where n = no. of elements<\/strong><\/p>\n<\/blockquote>\n<hr data-start=\"2153\" data-end=\"2156\" \/>\n<h3 data-start=\"2158\" data-end=\"2188\">\ud83d\udccc <strong data-start=\"2165\" data-end=\"2188\">Practice Questions:<\/strong><\/h3>\n<ol data-start=\"2190\" data-end=\"2287\">\n<li data-start=\"2190\" data-end=\"2254\">\n<p data-start=\"2193\" data-end=\"2254\">A = {a, b, c}, B = {b, c, d}<br data-start=\"2221\" data-end=\"2224\" \/>Find: A \u222a B, A \u2229 B, A \u2013 B<\/p>\n<\/li>\n<li data-start=\"2255\" data-end=\"2287\">\n<p data-start=\"2258\" data-end=\"2287\">Write the power set of {1, 2}<\/p>\n<\/li>\n<\/ol>\n<hr data-start=\"2289\" data-end=\"2292\" \/>\n<h3 data-start=\"2294\" data-end=\"2325\">\ud83c\udfa5 <strong data-start=\"2301\" data-end=\"2325\">Want a Video Lesson?<\/strong><\/h3>\n<p data-start=\"2327\" data-end=\"2341\">I can prepare:<\/p>\n<ul data-start=\"2342\" data-end=\"2451\">\n<li data-start=\"2342\" data-end=\"2374\">\n<p data-start=\"2344\" data-end=\"2374\">A PDF worksheet with questions<\/p>\n<\/li>\n<li data-start=\"2375\" data-end=\"2402\">\n<p data-start=\"2377\" data-end=\"2402\">A bilingual concept chart<\/p>\n<\/li>\n<li data-start=\"2403\" data-end=\"2451\">\n<p data-start=\"2405\" data-end=\"2451\">A short lesson script or animation explanation<\/p>\n<\/li>\n<\/ul>\n<p data-start=\"2453\" data-end=\"2489\" data-is-last-node=\"\" data-is-only-node=\"\">Just let me know what you need next!<\/p>\n<h3 data-start=\"2453\" data-end=\"2489\"><a href=\"https:\/\/www.cs.yale.edu\/homes\/aspnes\/classes\/202\/notes.pdf\" target=\"_blank\" rel=\"noopener\">Day 01-Discrete mathematics for computer science in Hindi &#8211; Set theory with conceptual understanding.<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/mu.ac.in\/wp-content\/uploads\/2021\/06\/USIT104-Discrete-Mathematics.pdf\" target=\"_blank\" rel=\"noopener\">DISCRETE MATHEMATICS F.Y.B.SC.(IT)<\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Day 01-Discrete mathematics for computer science in Hindi &#8211; Set theory with conceptual understanding. [fvplayer id=&#8221;278&#8243;] Day 01: \u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u092e\u0947\u091f\u093f\u0915\u094d\u0938 (Discrete Mathematics) &#8211; \u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 (Set Theory) \u0915\u093e \u0915\u093e\u0902\u0938\u0947\u092a\u094d\u091f \u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u092e\u0947\u091f\u093f\u0915\u094d\u0938 \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0938\u093e\u0907\u0902\u0938 \u0915\u093e \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0939\u093f\u0938\u094d\u0938\u093e \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u0938\u0947\u091f \u0925\u094d\u092f\u094b\u0930\u0940 (Set Theory) \u0915\u0940 \u090f\u0915 \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092d\u0942\u092e\u093f\u0915\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u00a0\u0938\u0947\u091f (Set) \u0915\u094d\u092f\u093e \u0939\u0948? \u0938\u0947\u091f \u0938\u092e\u093e\u0928 [&hellip;]<\/p>\n","protected":false},"author":71,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[76],"tags":[],"class_list":["post-3156","post","type-post","status-publish","format-standard","hentry","category-discrete-mathematics"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3156","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/users\/71"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/comments?post=3156"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3156\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=3156"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=3156"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=3156"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}