{"id":3089,"date":"2025-06-07T09:58:22","date_gmt":"2025-06-07T09:58:22","guid":{"rendered":"https:\/\/diznr.com\/?p=3089"},"modified":"2025-06-07T09:58:22","modified_gmt":"2025-06-07T09:58:22","slug":"part-06-discrete-mathematics-in-hindi-asymmetric-relation-in-language-easy","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/part-06-discrete-mathematics-in-hindi-asymmetric-relation-in-language-easy\/","title":{"rendered":"Part 06 &#8211; Discrete Mathematics in Hindi- Asymmetric Relation in easy language."},"content":{"rendered":"<p>Part 06 &#8211; Discrete Mathematics in Hindi- Asymmetric Relation in easy language.<\/p>\n<p>[fvplayer id=&#8221;247&#8243;]<\/p>\n<h3 data-start=\"0\" data-end=\"57\"><strong data-start=\"4\" data-end=\"55\">\u0905\u0938\u092e\u093e\u0928\u094d\u092f (Asymmetric) \u0938\u0902\u092c\u0902\u0927 \u2013 \u0938\u0930\u0932 \u092d\u093e\u0937\u093e \u092e\u0947\u0902 \u0938\u092e\u091d\u0947\u0902<\/strong><\/h3>\n<p data-start=\"59\" data-end=\"228\"><strong data-start=\"59\" data-end=\"69\">\u092a\u0930\u093f\u091a\u092f:<\/strong><br data-start=\"69\" data-end=\"72\" \/><strong data-start=\"72\" data-end=\"111\">Asymmetric Relation (\u0905\u0938\u092e\u093e\u0928\u094d\u092f \u0938\u0902\u092c\u0902\u0927)<\/strong> \u0917\u0923\u093f\u0924\u0940\u092f <strong data-start=\"119\" data-end=\"142\">\u0938\u0902\u092c\u0902\u0927\u094b\u0902 (Relations)<\/strong> \u0915\u093e \u090f\u0915 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u092f\u0926\u093f <strong data-start=\"171\" data-end=\"226\">(a, b) \u0938\u0902\u092c\u0902\u0927 \u092e\u0947\u0902 \u0939\u0948, \u0924\u094b (b, a) \u0938\u0902\u092c\u0902\u0927 \u092e\u0947\u0902 \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u093e\u0964<\/strong><\/p>\n<h3 data-start=\"235\" data-end=\"282\"><strong data-start=\"239\" data-end=\"280\">\u0905\u0938\u092e\u093e\u0928\u094d\u092f (Asymmetric) \u0938\u0902\u092c\u0902\u0927 \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e<\/strong><\/h3>\n<p data-start=\"283\" data-end=\"335\">\u090f\u0915 \u0938\u0902\u092c\u0902\u0927 <strong data-start=\"292\" data-end=\"297\">R<\/strong> \u0915\u094b <strong data-start=\"301\" data-end=\"315\">Asymmetric<\/strong> \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u092f\u0926\u093f \u2013<\/p>\n<blockquote data-start=\"337\" data-end=\"383\">\n<p data-start=\"339\" data-end=\"383\"><strong data-start=\"339\" data-end=\"381\">\u0905\u0917\u0930 (a, b) \u2208 R \u0939\u0948, \u0924\u094b (b, a) \u2209 R \u0939\u094b\u0917\u093e\u0964<\/strong><\/p>\n<\/blockquote>\n<p data-start=\"385\" data-end=\"477\">\u0907\u0938\u0915\u093e \u0905\u0930\u094d\u0925 \u092f\u0939 \u0939\u0948 \u0915\u093f \u0905\u0917\u0930 \u090f\u0915 \u0924\u0924\u094d\u0935 \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u0948, \u0924\u094b \u0926\u0942\u0938\u0930\u093e \u092a\u0939\u0932\u0947 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u093e\u0964<\/p>\n<h3 data-start=\"484\" data-end=\"501\"><strong data-start=\"488\" data-end=\"499\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><\/h3>\n<ol data-start=\"503\" data-end=\"853\">\n<li data-start=\"503\" data-end=\"695\">\n<p data-start=\"506\" data-end=\"531\"><strong data-start=\"506\" data-end=\"529\">&#8220;\u0915\u092e \u0939\u094b\u0928\u093e (&lt;)&#8221; \u0938\u0902\u092c\u0902\u0927<\/strong><\/p>\n<ul data-start=\"535\" data-end=\"695\">\n<li data-start=\"535\" data-end=\"587\">\u092f\u0926\u093f <strong data-start=\"541\" data-end=\"550\">a &lt; b<\/strong> \u0939\u0948, \u0924\u094b <strong data-start=\"558\" data-end=\"567\">b &lt; a<\/strong> \u0915\u092d\u0940 \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u093e\u0964<\/li>\n<li data-start=\"591\" data-end=\"642\">\u0909\u0926\u093e\u0939\u0930\u0923: <strong data-start=\"601\" data-end=\"610\">2 &lt; 5<\/strong> \u0932\u0947\u0915\u093f\u0928 <strong data-start=\"617\" data-end=\"626\">5 &lt; 2<\/strong> \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u093e\u0964<\/li>\n<li data-start=\"646\" data-end=\"695\">\u0907\u0938\u0932\u093f\u090f, <strong data-start=\"655\" data-end=\"693\">&#8220;\u0915\u092e \u0939\u094b\u0928\u093e (&lt;)&#8221; \u090f\u0915 \u0905\u0938\u092e\u093e\u0928\u094d\u092f \u0938\u0902\u092c\u0902\u0927 \u0939\u0948\u0964<\/strong><\/li>\n<\/ul>\n<\/li>\n<li data-start=\"697\" data-end=\"853\">\n<p data-start=\"700\" data-end=\"734\"><strong data-start=\"700\" data-end=\"732\">&#8220;\u092c\u0921\u093c\u0947 \u092d\u093e\u0908-\u091b\u094b\u091f\u0947 \u092d\u093e\u0908 \u0915\u093e \u0938\u0902\u092c\u0902\u0927&#8221;<\/strong><\/p>\n<ul data-start=\"738\" data-end=\"853\">\n<li data-start=\"738\" data-end=\"810\">\u0905\u0917\u0930 \u0930\u093e\u092e \u0936\u094d\u092f\u093e\u092e \u0915\u093e \u092c\u0921\u093c\u093e \u092d\u093e\u0908 \u0939\u0948, \u0924\u094b \u0936\u094d\u092f\u093e\u092e \u0930\u093e\u092e \u0915\u093e \u092c\u0921\u093c\u093e \u092d\u093e\u0908 \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u093e\u0964<\/li>\n<li data-start=\"814\" data-end=\"853\">\u092f\u0939 <strong data-start=\"819\" data-end=\"836\">\u0905\u0938\u092e\u093e\u0928\u094d\u092f \u0938\u0902\u092c\u0902\u0927<\/strong> \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<h3 data-start=\"860\" data-end=\"903\"><strong data-start=\"864\" data-end=\"901\">\u0905\u0938\u092e\u093e\u0928\u094d\u092f \u0914\u0930 \u0905\u0928\u094d\u092f \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u092e\u0947\u0902 \u0905\u0902\u0924\u0930:<\/strong><\/h3>\n<div class=\"overflow-x-auto contain-inline-size\">\n<table data-start=\"905\" data-end=\"1301\">\n<thead data-start=\"905\" data-end=\"933\">\n<tr data-start=\"905\" data-end=\"933\">\n<th data-start=\"905\" data-end=\"913\">\u0938\u0902\u092c\u0902\u0927<\/th>\n<th data-start=\"913\" data-end=\"923\">\u092a\u0930\u093f\u092d\u093e\u0937\u093e<\/th>\n<th data-start=\"923\" data-end=\"933\">\u0909\u0926\u093e\u0939\u0930\u0923<\/th>\n<\/tr>\n<\/thead>\n<tbody data-start=\"966\" data-end=\"1301\">\n<tr data-start=\"966\" data-end=\"1040\">\n<td><strong data-start=\"968\" data-end=\"992\">Reflexive (\u092a\u0930\u093e\u0935\u0930\u094d\u0924\u0940)<\/strong><\/td>\n<td>\u0939\u0930 \u0924\u0924\u094d\u0935 \u0916\u0941\u0926 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948<\/td>\n<td>(a, a) \u2208 R<\/td>\n<\/tr>\n<tr data-start=\"1041\" data-end=\"1123\">\n<td><strong data-start=\"1043\" data-end=\"1064\">Symmetric (\u0938\u092e\u092e\u093f\u0924)<\/strong><\/td>\n<td>\u0905\u0917\u0930 (a, b) \u2208 R, \u0924\u094b (b, a) \u092d\u0940 \u2208 R<\/td>\n<td>\u0926\u094b\u0938\u094d\u0924\u0940 (Friendship)<\/td>\n<\/tr>\n<tr data-start=\"1124\" data-end=\"1200\">\n<td><strong data-start=\"1126\" data-end=\"1150\">Asymmetric (\u0905\u0938\u092e\u093e\u0928\u094d\u092f)<\/strong><\/td>\n<td>\u0905\u0917\u0930 (a, b) \u2208 R, \u0924\u094b (b, a) \u2209 R<\/td>\n<td>\u091b\u094b\u091f\u093e-\u092c\u0921\u093c\u093e (&lt;)<\/td>\n<\/tr>\n<tr data-start=\"1201\" data-end=\"1301\">\n<td><strong data-start=\"1203\" data-end=\"1234\">Anti-Symmetric (\u092a\u094d\u0930\u0924\u093f\u0938\u092e\u092e\u093f\u0924)<\/strong><\/td>\n<td>\u0905\u0917\u0930 (a, b) \u0914\u0930 (b, a) \u0926\u094b\u0928\u094b\u0902 \u2208 R \u0939\u0948\u0902, \u0924\u094b a = b \u0939\u094b\u0917\u093e<\/td>\n<td>Subset (\u2286)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h3 data-start=\"1308\" data-end=\"1335\"><strong data-start=\"1312\" data-end=\"1333\">\u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092c\u093f\u0902\u0926\u0941:<\/strong><\/h3>\n<ul data-start=\"1336\" data-end=\"1509\">\n<li data-start=\"1336\" data-end=\"1442\"><strong data-start=\"1338\" data-end=\"1440\">\u0938\u092d\u0940 Asymmetric \u0938\u0902\u092c\u0902\u0927 Anti-Symmetric \u0939\u094b\u0924\u0947 \u0939\u0948\u0902, \u0932\u0947\u0915\u093f\u0928 \u0938\u092d\u0940 Anti-Symmetric \u0938\u0902\u092c\u0902\u0927 Asymmetric \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u0947\u0964<\/strong><\/li>\n<li data-start=\"1443\" data-end=\"1509\">\u0905\u0938\u092e\u093e\u0928\u094d\u092f \u0938\u0902\u092c\u0902\u0927 \u092e\u0947\u0902 <strong data-start=\"1463\" data-end=\"1506\">\u0915\u094b\u0908 \u092d\u0940 \u0924\u0924\u094d\u0935 \u0916\u0941\u0926 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u093e<\/strong>\u0964<\/li>\n<\/ul>\n<h3 data-start=\"1516\" data-end=\"1535\"><strong data-start=\"1520\" data-end=\"1533\">\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/strong><\/h3>\n<p data-start=\"1536\" data-end=\"1742\"><strong data-start=\"1536\" data-end=\"1559\">Asymmetric Relation<\/strong> \u0915\u093e \u092e\u0924\u0932\u092c \u0939\u094b\u0924\u093e \u0939\u0948 \u0915\u093f <strong data-start=\"1579\" data-end=\"1646\">\u0905\u0917\u0930 \u090f\u0915 \u0924\u0924\u094d\u0935 \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u0948, \u0924\u094b \u0926\u0942\u0938\u0930\u093e \u092a\u0939\u0932\u0947 \u0938\u0947 \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u093e\u0964<\/strong> \u092f\u0939 \u0938\u0902\u092c\u0902\u0927 \u0917\u0923\u093f\u0924, \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0938\u093e\u0907\u0902\u0938 \u0914\u0930 \u0924\u093e\u0930\u094d\u0915\u093f\u0915 \u0938\u0902\u0930\u091a\u0928\u093e (Logical Structures) \u092e\u0947\u0902 \u092c\u0939\u0941\u0924 \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n<p data-start=\"1749\" data-end=\"1804\" data-is-last-node=\"\" data-is-only-node=\"\"><strong data-start=\"1749\" data-end=\"1804\" data-is-last-node=\"\">\u0915\u094d\u092f\u093e \u0906\u092a\u0915\u094b \u0914\u0930 \u0909\u0926\u093e\u0939\u0930\u0923 \u092f\u093e \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u092e\u0947\u0902 \u0938\u092e\u091d\u093e\u0928\u093e \u091a\u093e\u0939\u093f\u090f?<\/strong><\/p>\n<h3 data-start=\"1749\" data-end=\"1804\"><a href=\"https:\/\/www2.cs.uh.edu\/~arjun\/courses\/ds\/DiscMaths4CompSc.pdf\" target=\"_blank\" rel=\"noopener\">Part 06 &#8211; Discrete Mathematics in Hindi- Asymmetric Relation in easy language.<\/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<p data-start=\"0\" data-end=\"143\">Here is a simple and clear explanation of <strong data-start=\"42\" data-end=\"65\">Asymmetric Relation<\/strong> in <strong data-start=\"69\" data-end=\"93\">Discrete Mathematics<\/strong>, explained in <strong data-start=\"108\" data-end=\"117\">Hindi<\/strong> for better understanding:<\/p>\n<hr data-start=\"145\" data-end=\"148\" \/>\n<h2 data-start=\"150\" data-end=\"246\">\ud83d\udcd8 <strong data-start=\"156\" data-end=\"246\">\u092a\u093e\u0930\u094d\u091f 06 \u2013 \u0921\u093f\u0938\u094d\u0915\u094d\u0930\u0940\u091f \u092e\u0948\u0925\u094d\u0938 (Discrete Mathematics) \u2013 \u0905\u0938\u092e\u092e\u093f\u0924 \u0938\u0902\u092c\u0902\u0927 (Asymmetric Relation)<\/strong><\/h2>\n<h3 data-start=\"248\" data-end=\"316\">\ud83d\udd0d <strong data-start=\"255\" data-end=\"316\">\u0905\u0938\u092e\u092e\u093f\u0924 \u0938\u0902\u092c\u0902\u0927 \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u093e \u0939\u0948? (What is Asymmetric Relation?)<\/strong><\/h3>\n<p data-start=\"318\" data-end=\"368\">\u092f\u0926\u093f \u0915\u093f\u0938\u0940 \u0930\u093f\u0932\u0947\u0936\u0928 (\u0938\u0902\u092c\u0902\u0927) <strong data-start=\"342\" data-end=\"347\">R<\/strong> \u092e\u0947\u0902 \u092f\u0939 \u0928\u093f\u092f\u092e \u0932\u093e\u0917\u0942 \u0939\u094b:<\/p>\n<blockquote data-start=\"370\" data-end=\"422\">\n<p data-start=\"372\" data-end=\"422\"><strong data-start=\"372\" data-end=\"419\">\u092f\u0926\u093f (a, b) \u2208 R \u0939\u094b, \u0924\u094b (b, a) \u2209 R \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f<\/strong>,<\/p>\n<\/blockquote>\n<p data-start=\"424\" data-end=\"477\">\u0924\u094b \u0939\u092e \u0910\u0938\u0947 \u0930\u093f\u0932\u0947\u0936\u0928 \u0915\u094b <strong data-start=\"444\" data-end=\"467\">\u0905\u0938\u092e\u092e\u093f\u0924 (Asymmetric)<\/strong> \u0915\u0939\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n<hr data-start=\"479\" data-end=\"482\" \/>\n<h3 data-start=\"484\" data-end=\"517\">\ud83e\udde0 <strong data-start=\"491\" data-end=\"517\">\u0938\u093e\u0927\u093e\u0930\u0923 \u092d\u093e\u0937\u093e \u092e\u0947\u0902 \u0938\u092e\u091d\u0947\u0902:<\/strong><\/h3>\n<p data-start=\"519\" data-end=\"651\">\u0905\u0917\u0930 \u0915\u094b\u0908 \u091a\u0940\u091c\u093c \u090f\u0915 \u0924\u0930\u092b \u0938\u0947 \u0938\u0902\u092d\u0935 \u0939\u0948, \u0932\u0947\u0915\u093f\u0928 \u0926\u0942\u0938\u0930\u0940 \u0924\u0930\u092b \u0938\u0947 \u0928\u0939\u0940\u0902 \u2014<br data-start=\"576\" data-end=\"579\" \/>\u092f\u093e\u0928\u093f \u0905\u0917\u0930 <strong data-start=\"588\" data-end=\"650\">a \u0915\u093e b \u0938\u0947 \u0938\u0902\u092c\u0902\u0927 \u0939\u0948, \u0924\u094b b \u0915\u093e a \u0938\u0947 \u0915\u094b\u0908 \u0938\u0902\u092c\u0902\u0927 \u0928\u0939\u0940\u0902 \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f<\/strong>\u0964<\/p>\n<hr data-start=\"653\" data-end=\"656\" \/>\n<h3 data-start=\"658\" data-end=\"687\">\ud83d\udccc <strong data-start=\"665\" data-end=\"687\">Mathematical Form:<\/strong><\/h3>\n<p data-start=\"688\" data-end=\"748\">A relation <strong data-start=\"699\" data-end=\"704\">R<\/strong> on a set <strong data-start=\"714\" data-end=\"719\">A<\/strong> is called <strong data-start=\"730\" data-end=\"744\">Asymmetric<\/strong> if:<\/p>\n<blockquote data-start=\"750\" data-end=\"791\">\n<p data-start=\"752\" data-end=\"791\">\u2200 a, b \u2208 A: <strong data-start=\"764\" data-end=\"791\">(a, b) \u2208 R \u21d2 (b, a) \u2209 R<\/strong><\/p>\n<\/blockquote>\n<hr data-start=\"793\" data-end=\"796\" \/>\n<h3 data-start=\"798\" data-end=\"827\">\ud83c\udf93 <strong data-start=\"805\" data-end=\"827\">\u0909\u0926\u093e\u0939\u0930\u0923 (Examples):<\/strong><\/h3>\n<h4 data-start=\"829\" data-end=\"874\">\u2705 <strong data-start=\"836\" data-end=\"874\">Example 1: &#8220;is parent of&#8221; relation<\/strong><\/h4>\n<ul data-start=\"875\" data-end=\"1014\">\n<li data-start=\"875\" data-end=\"944\">\n<p data-start=\"877\" data-end=\"944\">\u0905\u0917\u0930 <strong data-start=\"881\" data-end=\"906\">Ram \u092a\u093f\u0924\u093e \u0939\u0948\u0902 Shyam \u0915\u0947<\/strong>, \u0924\u094b Shyam \u092a\u093f\u0924\u093e \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u0947 Ram \u0915\u0947\u0964<\/p>\n<\/li>\n<li data-start=\"945\" data-end=\"989\">\n<p data-start=\"947\" data-end=\"989\">\u092f\u093e\u0928\u0940 (Ram, Shyam) \u2208 R \u2192 (Shyam, Ram) \u2209 R<\/p>\n<\/li>\n<li data-start=\"990\" data-end=\"1014\">\n<p data-start=\"992\" data-end=\"1014\">\u092f\u0939 \u090f\u0915 \u0905\u0938\u092e\u092e\u093f\u0924 \u0938\u0902\u092c\u0902\u0927 \u0939\u0948\u0964<\/p>\n<\/li>\n<\/ul>\n<h4 data-start=\"1016\" data-end=\"1062\">\u274c <strong data-start=\"1023\" data-end=\"1062\">Example 2: &#8220;is brother of&#8221; relation<\/strong><\/h4>\n<ul data-start=\"1063\" data-end=\"1150\">\n<li data-start=\"1063\" data-end=\"1119\">\n<p data-start=\"1065\" data-end=\"1119\">\u0905\u0917\u0930 <strong data-start=\"1069\" data-end=\"1087\">A, B \u0915\u093e \u092d\u093e\u0908 \u0939\u0948<\/strong>, \u0924\u094b B \u092d\u0940 A \u0915\u093e \u092d\u093e\u0908 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/p>\n<\/li>\n<li data-start=\"1120\" data-end=\"1150\">\n<p data-start=\"1122\" data-end=\"1150\">\u0907\u0938\u0932\u093f\u090f \u092f\u0939 <strong data-start=\"1131\" data-end=\"1146\">\u0905\u0938\u092e\u092e\u093f\u0924 \u0928\u0939\u0940\u0902<\/strong> \u0939\u0948\u0964<\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"1152\" data-end=\"1155\" \/>\n<h3 data-start=\"1157\" data-end=\"1173\">\u2757 \u0927\u094d\u092f\u093e\u0928 \u0926\u0947\u0902:<\/h3>\n<ul data-start=\"1174\" data-end=\"1273\">\n<li data-start=\"1174\" data-end=\"1273\">\n<p data-start=\"1176\" data-end=\"1273\"><strong data-start=\"1176\" data-end=\"1219\">\u0939\u0930 \u0905\u0938\u092e\u092e\u093f\u0924 \u0930\u093f\u0932\u0947\u0936\u0928 \u090f\u0902\u091f\u0940-\u0938\u093f\u092e\u0947\u091f\u094d\u0930\u093f\u0915 \u0939\u094b\u0924\u093e \u0939\u0948<\/strong>,<br data-start=\"1220\" data-end=\"1223\" \/>\u0932\u0947\u0915\u093f\u0928 \u0939\u0930 \u090f\u0902\u091f\u0940-\u0938\u093f\u092e\u0947\u091f\u094d\u0930\u093f\u0915 \u0930\u093f\u0932\u0947\u0936\u0928 \u0905\u0938\u092e\u092e\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u093e\u0964<\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"1275\" data-end=\"1278\" \/>\n<h3 data-start=\"1280\" data-end=\"1310\">\ud83d\udd01 <strong data-start=\"1287\" data-end=\"1310\">Comparison (\u0924\u0941\u0932\u0928\u093e):<\/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=\"1312\" data-end=\"1591\">\n<thead data-start=\"1312\" data-end=\"1341\">\n<tr data-start=\"1312\" data-end=\"1341\">\n<th data-start=\"1312\" data-end=\"1321\" data-col-size=\"sm\">\u092a\u094d\u0930\u0915\u093e\u0930<\/th>\n<th data-start=\"1321\" data-end=\"1331\" data-col-size=\"sm\">\u092a\u0930\u093f\u092d\u093e\u0937\u093e<\/th>\n<th data-start=\"1331\" data-end=\"1341\" data-col-size=\"sm\">\u0909\u0926\u093e\u0939\u0930\u0923<\/th>\n<\/tr>\n<\/thead>\n<tbody data-start=\"1375\" data-end=\"1591\">\n<tr data-start=\"1375\" data-end=\"1431\">\n<td data-start=\"1375\" data-end=\"1391\" data-col-size=\"sm\"><strong data-start=\"1377\" data-end=\"1390\">Symmetric<\/strong><\/td>\n<td data-col-size=\"sm\" data-start=\"1391\" data-end=\"1421\">\u0905\u0917\u0930 (a, b) \u2208 R \u21d2 (b, a) \u2208 R<\/td>\n<td data-col-size=\"sm\" data-start=\"1421\" data-end=\"1431\">\u0926\u094b\u0938\u094d\u0924\u0940<\/td>\n<\/tr>\n<tr data-start=\"1432\" data-end=\"1501\">\n<td data-start=\"1432\" data-end=\"1449\" data-col-size=\"sm\"><strong data-start=\"1434\" data-end=\"1448\">Asymmetric<\/strong><\/td>\n<td data-col-size=\"sm\" data-start=\"1449\" data-end=\"1479\">\u0905\u0917\u0930 (a, b) \u2208 R \u21d2 (b, a) \u2209 R<\/td>\n<td data-col-size=\"sm\" data-start=\"1479\" data-end=\"1501\">\u092e\u093e\u0924\u093e-\u092a\u093f\u0924\u093e \u0915\u093e \u0938\u0902\u092c\u0902\u0927<\/td>\n<\/tr>\n<tr data-start=\"1502\" data-end=\"1591\">\n<td data-start=\"1502\" data-end=\"1523\" data-col-size=\"sm\"><strong data-start=\"1504\" data-end=\"1522\">Anti-symmetric<\/strong><\/td>\n<td data-col-size=\"sm\" data-start=\"1523\" data-end=\"1562\">\u0905\u0917\u0930 (a, b) \u2208 R \u0914\u0930 (b, a) \u2208 R \u21d2 a = b<\/td>\n<td data-col-size=\"sm\" data-start=\"1562\" data-end=\"1591\">\u2264 (less than or equal to)<\/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=\"1593\" data-end=\"1596\" \/>\n<h2 data-start=\"1598\" data-end=\"1624\">\u2705 <strong data-start=\"1603\" data-end=\"1624\">\u0938\u093e\u0930\u093e\u0902\u0936 (Summary):<\/strong><\/h2>\n<blockquote data-start=\"1626\" data-end=\"1722\">\n<p data-start=\"1628\" data-end=\"1722\">\u0905\u0917\u0930 (a, b) \u0930\u093f\u0932\u0947\u0936\u0928 \u092e\u0947\u0902 \u0939\u0948 \u0914\u0930 (b, a) \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u093e \u2014<br data-start=\"1677\" data-end=\"1680\" \/>\u0924\u094b \u0935\u0939 <strong data-start=\"1688\" data-end=\"1711\">Asymmetric Relation<\/strong> \u0915\u0939\u0932\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<\/blockquote>\n<hr data-start=\"1724\" data-end=\"1727\" \/>\n<p data-start=\"1729\" data-end=\"1754\">\u0905\u0917\u0930 \u0906\u092a \u091a\u093e\u0939\u0947\u0902 \u0924\u094b \u092e\u0948\u0902 \u0907\u0938\u0915\u093e:<\/p>\n<ul data-start=\"1755\" data-end=\"1858\">\n<li data-start=\"1755\" data-end=\"1780\">\n<p data-start=\"1757\" data-end=\"1780\"><strong data-start=\"1757\" data-end=\"1777\">\u0935\u0940\u0921\u093f\u092f\u094b \u0938\u094d\u0915\u094d\u0930\u093f\u092a\u094d\u091f<\/strong>,<\/p>\n<\/li>\n<li data-start=\"1781\" data-end=\"1802\">\n<p data-start=\"1783\" data-end=\"1802\"><strong data-start=\"1783\" data-end=\"1796\">\u0928\u094b\u091f\u094d\u0938 PDF<\/strong>, \u092f\u093e<\/p>\n<\/li>\n<li data-start=\"1803\" data-end=\"1858\">\n<p data-start=\"1805\" data-end=\"1858\"><strong data-start=\"1805\" data-end=\"1841\">\u0905\u092d\u094d\u092f\u093e\u0938 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 Worksheet<\/strong> \u092d\u0940 \u092c\u0928\u093e \u0938\u0915\u0924\u093e \u0939\u0942\u0901\u0964<\/p>\n<\/li>\n<\/ul>\n<p data-start=\"1860\" data-end=\"1883\" data-is-last-node=\"\" data-is-only-node=\"\">\u092c\u0924\u093e\u0907\u090f \u0915\u0948\u0938\u0947 \u092e\u0926\u0926 \u0915\u0930\u0942\u0901? \ud83d\ude0a<\/p>\n<h3 data-start=\"1860\" data-end=\"1883\"><a href=\"https:\/\/dpvipracollege.ac.in\/wp-content\/uploads\/2023\/01\/Discrete-Mathematical-Structures-2nd-Ed.pdf\" target=\"_blank\" rel=\"noopener\">Part 06 &#8211; Discrete Mathematics in Hindi- Asymmetric Relation in easy language.<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/mis.alagappauniversity.ac.in\/siteAdmin\/dde-admin\/uploads\/6\/__UG_B.Sc._Mathematics_113%2061_BSc-Math_Discrete%20Mathematics_Semester%20VI_5069.pdf\" target=\"_blank\" rel=\"noopener\">DISCRETE MATHEMATICS &#8211; MIS<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/www.cs.yale.edu\/homes\/aspnes\/classes\/202\/notes.pdf\" target=\"_blank\" rel=\"noopener\">Notes on Discrete Mathematics<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/www.dcpehvpm.org\/E-Content\/BCA\/BCA-I\/Discrete%20Math\/DISCRETE%20MATHEMATICS.pdf\" target=\"_blank\" rel=\"noopener\">SYLLABUS Download<\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Part 06 &#8211; Discrete Mathematics in Hindi- Asymmetric Relation in easy language. [fvplayer id=&#8221;247&#8243;] \u0905\u0938\u092e\u093e\u0928\u094d\u092f (Asymmetric) \u0938\u0902\u092c\u0902\u0927 \u2013 \u0938\u0930\u0932 \u092d\u093e\u0937\u093e \u092e\u0947\u0902 \u0938\u092e\u091d\u0947\u0902 \u092a\u0930\u093f\u091a\u092f:Asymmetric Relation (\u0905\u0938\u092e\u093e\u0928\u094d\u092f \u0938\u0902\u092c\u0902\u0927) \u0917\u0923\u093f\u0924\u0940\u092f \u0938\u0902\u092c\u0902\u0927\u094b\u0902 (Relations) \u0915\u093e \u090f\u0915 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u092f\u0926\u093f (a, b) \u0938\u0902\u092c\u0902\u0927 \u092e\u0947\u0902 \u0939\u0948, \u0924\u094b (b, a) \u0938\u0902\u092c\u0902\u0927 \u092e\u0947\u0902 \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u093e\u0964 \u0905\u0938\u092e\u093e\u0928\u094d\u092f (Asymmetric) \u0938\u0902\u092c\u0902\u0927 \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u090f\u0915 \u0938\u0902\u092c\u0902\u0927 R [&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-3089","post","type-post","status-publish","format-standard","hentry","category-discrete-mathematics"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3089","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=3089"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3089\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=3089"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=3089"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=3089"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}