{"id":3040,"date":"2025-06-07T15:02:25","date_gmt":"2025-06-07T15:02:25","guid":{"rendered":"https:\/\/diznr.com\/?p=3040"},"modified":"2025-06-07T15:02:25","modified_gmt":"2025-06-07T15:02:25","slug":"day-03-part-02-discrete-mathematics-for-cse-total-order-relation-and-its-representation-graph","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/day-03-part-02-discrete-mathematics-for-cse-total-order-relation-and-its-representation-graph\/","title":{"rendered":"Day 03 Part 02- Discrete mathematics for cse-Total order relation and it&#8217;s graph representation."},"content":{"rendered":"<p>Day 03 Part 02- Discrete mathematics for cse-Total order relation and it&#8217;s graph representation.<\/p>\n<p>[fvplayer id=&#8221;229&#8243;]<\/p>\n<p class=\"\" data-start=\"0\" data-end=\"74\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"100\" data-is-last-node=\"\" data-is-only-node=\"\">Day 03 Part 02: Discrete Mathematics for CSE \u2013 Total Order Relation and Its Graph Representation<\/strong><\/span><\/p>\n<hr class=\"\" data-start=\"76\" data-end=\"79\" \/>\n<h3 class=\"\" data-start=\"81\" data-end=\"140\">\ud83d\udcd8 <strong data-start=\"88\" data-end=\"140\">Total Order Relation (\u092a\u0942\u0930\u094d\u0923 \u0915\u094d\u0930\u092e \u0938\u0902\u092c\u0902\u0927) \u0915\u094d\u092f\u093e \u0939\u0948?<\/strong><\/h3>\n<p class=\"\" data-start=\"142\" data-end=\"216\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"24\" data-is-only-node=\"\">Total Order Relation<\/strong> \u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u093e <strong data-start=\"44\" data-end=\"70\">Partial Order Relation<\/strong> \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0926\u094b \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0924\u0941\u0932\u0928\u093e \u0938\u0902\u092d\u0935 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<\/span><\/p>\n<h4 class=\"\" data-start=\"218\" data-end=\"250\">\u2705 <strong data-start=\"225\" data-end=\"250\">\u0917\u0941\u0923\u0927\u0930\u094d\u092e (Properties):<\/strong><\/h4>\n<p class=\"\" data-start=\"252\" data-end=\"328\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u090f\u0915 Total Order Relation \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0917\u0941\u0923\u094b\u0902 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u093e \u0939\u0948:<\/span><\/p>\n<ol data-start=\"330\" data-end=\"663\">\n<li class=\"\" data-start=\"330\" data-end=\"402\">\n<p class=\"\" data-start=\"333\" data-end=\"402\"><strong data-start=\"333\" data-end=\"362\">Reflexive (\u092a\u0930\u093e\u0935\u0930\u094d\u0924\u0928\u0940\u092f\u0924\u093e):<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u0939\u0930 \u0924\u0924\u094d\u0935 \u0938\u094d\u0935\u092f\u0902 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948; \u0905\u0930\u094d\u0925\u093e\u0924\u094d, <span class=\"katex\"><span class=\"katex-mathml\">a\u2264aa \\leq a<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li class=\"\" data-start=\"403\" data-end=\"481\">\n<p class=\"\" data-start=\"406\" data-end=\"481\"><strong data-start=\"406\" data-end=\"441\">Antisymmetric (\u092a\u094d\u0930\u0924\u093f\u0938\u092e\u092e\u093f\u0924\u0940\u092f\u0924\u093e):<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">a\u2264ba \\leq b<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> \u0914\u0930 <span class=\"katex\"><span class=\"katex-mathml\">b\u2264ab \\leq a<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span>, \u0924\u094b <span class=\"katex\"><span class=\"katex-mathml\">a=ba = b<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li class=\"\" data-start=\"482\" data-end=\"551\">\n<p class=\"\" data-start=\"485\" data-end=\"551\"><strong data-start=\"485\" data-end=\"511\">Transitive (\u0938\u0938\u0930\u0923\u0940\u092f\u0924\u093e):<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">a\u2264ba \\leq b<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> \u0914\u0930 <span class=\"katex\"><span class=\"katex-mathml\">b\u2264cb \\leq c<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span>, \u0924\u094b <span class=\"katex\"><span class=\"katex-mathml\">a\u2264ca \\leq c<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li class=\"\" data-start=\"552\" data-end=\"663\">\n<p class=\"\" data-start=\"555\" data-end=\"663\"><strong data-start=\"555\" data-end=\"584\">Comparability (\u0924\u0941\u0932\u0928\u0940\u092f\u0924\u093e):<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u0939\u0930 \u091c\u094b\u0921\u093c\u0940 <span class=\"katex\"><span class=\"katex-mathml\">(a,b)(a, b)<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mpunct\">,<\/span><span class=\"mord mathnormal\">b<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span> \u0915\u0947 \u0932\u093f\u090f, \u092f\u093e \u0924\u094b <span class=\"katex\"><span class=\"katex-mathml\">a\u2264ba \\leq b<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> \u092f\u093e <span class=\"katex\"><span class=\"katex-mathml\">b\u2264ab \\leq a<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span> \u0938\u0924\u094d\u092f \u0939\u094b\u0924\u093e \u0939\u0948<\/span><\/p>\n<\/li>\n<\/ol>\n<p class=\"\" data-start=\"665\" data-end=\"743\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930, Total Order Relation \u092e\u0947\u0902 \u0938\u092d\u0940 \u0924\u0924\u094d\u0935 \u0906\u092a\u0938 \u092e\u0947\u0902 \u0924\u0941\u0932\u0928\u0940\u092f \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/span><\/p>\n<hr class=\"\" data-start=\"745\" data-end=\"748\" \/>\n<h3 class=\"\" data-start=\"750\" data-end=\"808\">\ud83d\udcca <strong data-start=\"757\" data-end=\"808\">Graph Representation: Hasse Diagram (\u0939\u093e\u0938\u0947 \u0906\u0930\u0947\u0916)<\/strong><\/h3>\n<p class=\"\" data-start=\"810\" data-end=\"888\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"17\" data-is-only-node=\"\">Hasse Diagram<\/strong> \u090f\u0915 \u0917\u094d\u0930\u093e\u092b\u093f\u0915\u0932 \u091f\u0942\u0932 \u0939\u0948 \u091c\u094b \u0915\u093f\u0938\u0940 \u0906\u0902\u0936\u093f\u0915 \u0915\u094d\u0930\u092e\u093f\u0924 \u0938\u0947\u091f (Poset) \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n<h4 class=\"\" data-start=\"890\" data-end=\"929\">\ud83e\udded <strong data-start=\"898\" data-end=\"929\">Hasse Diagram \u0915\u0940 \u0935\u093f\u0936\u0947\u0937\u0924\u093e\u090f\u0901:<\/strong><\/h4>\n<ul data-start=\"931\" data-end=\"1150\">\n<li class=\"\" data-start=\"931\" data-end=\"995\">\n<p class=\"\" data-start=\"933\" data-end=\"995\"><strong data-start=\"933\" data-end=\"955\">\u0935\u0930\u094d\u091f\u093f\u0915\u0932 \u092a\u094d\u0932\u0947\u0938\u092e\u0947\u0902\u091f:<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">a\u2264ba \\leq b<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mrel\">\u2264<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span>, \u0924\u094b <span class=\"katex\"><span class=\"katex-mathml\">aa<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span> \u0915\u094b <span class=\"katex\"><span class=\"katex-mathml\">bb<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> \u0915\u0947 \u0928\u0940\u091a\u0947 \u0930\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n<li class=\"\" data-start=\"996\" data-end=\"1055\">\n<p class=\"\" data-start=\"998\" data-end=\"1055\"><strong data-start=\"998\" data-end=\"1015\">\u090f\u091c\u0947\u0938 (Edges):<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">aa<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span> \u0914\u0930 <span class=\"katex\"><span class=\"katex-mathml\">bb<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> \u0915\u0947 \u092c\u0940\u091a \u0915\u094b\u0908 \u0905\u0928\u094d\u092f \u0924\u0924\u094d\u0935 \u0928\u0939\u0940\u0902 \u0939\u0948, \u0924\u094b <span class=\"katex\"><span class=\"katex-mathml\">aa<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span> \u0938\u0947 <span class=\"katex\"><span class=\"katex-mathml\">bb<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> \u0924\u0915 \u090f\u0915 \u0938\u0940\u0927\u093e \u0930\u0947\u0916\u093e \u0916\u0940\u0902\u091a\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n<li class=\"\" data-start=\"1056\" data-end=\"1150\">\n<p class=\"\" data-start=\"1058\" data-end=\"1150\"><strong data-start=\"1058\" data-end=\"1111\">Reflexive \u0914\u0930 Transitive \u090f\u091c\u0947\u0938 \u0915\u094b \u0928\u0939\u0940\u0902 \u0926\u093f\u0916\u093e\u092f\u093e \u091c\u093e\u0924\u093e\u0964<\/strong><\/p>\n<\/li>\n<\/ul>\n<h4 class=\"\" data-start=\"1152\" data-end=\"1197\">\ud83d\udcc8 <strong data-start=\"1160\" data-end=\"1197\">Total Order \u0915\u0947 \u0932\u093f\u090f Hasse Diagram:<\/strong><\/h4>\n<p class=\"\" data-start=\"1199\" data-end=\"1277\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Total Order Relation \u0915\u0947 Hasse Diagram \u092e\u0947\u0902 \u0938\u092d\u0940 \u0924\u0924\u094d\u0935 \u090f\u0915 \u0938\u0940\u0927\u0940 \u0930\u0947\u0916\u093e \u092e\u0947\u0902 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902, \u091c\u0939\u093e\u0901 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0924\u0924\u094d\u0935 \u0915\u093e \u090f\u0915 \u0939\u0940 \u0909\u0924\u094d\u0924\u0930\u093e\u0927\u093f\u0915\u093e\u0930\u0940 \u0914\u0930 \u090f\u0915 \u0939\u0940 \u092a\u0942\u0930\u094d\u0935\u0935\u0930\u094d\u0924\u0940 \u0939\u094b\u0924\u093e \u0939\u0948 (\u092f\u0926\u093f \u0915\u094b\u0908 \u0939\u094b)\u0964<\/span><\/p>\n<p class=\"\" data-start=\"1279\" data-end=\"1290\"><strong data-start=\"1279\" data-end=\"1290\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><\/p>\n<p class=\"\" data-start=\"1292\" data-end=\"1370\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u0938\u0947\u091f <span class=\"katex\"><span class=\"katex-mathml\">{1,2,3,4}\\{1, 2, 3, 4\\}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">3<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">4<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span> \u0915\u0947 \u0932\u093f\u090f <span class=\"katex\"><span class=\"katex-mathml\">\u2264\\leq<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mrel\">\u2264<\/span><\/span><\/span><\/span> \u0938\u0902\u092c\u0902\u0927 \u0915\u093e Hasse Diagram:<\/span><\/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=\"flex items-center text-token-text-secondary px-4 py-2 text-xs font-sans justify-between h-9 bg-token-sidebar-surface-primary dark:bg-token-main-surface-secondary select-none rounded-t-[5px]\"><\/div>\n<div class=\"sticky top-9\">\n<div class=\"absolute end-0 bottom-0 flex h-9 items-center pe-2\">\n<div class=\"bg-token-sidebar-surface-primary text-token-text-secondary dark:bg-token-main-surface-secondary flex items-center rounded-sm px-2 font-sans text-xs\"><button class=\"flex gap-1 items-center select-none px-4 py-1\" aria-label=\"\u0915\u0949\u092a\u0940 \u0915\u0930\u0947\u0902\">\u0915\u0949\u092a\u0940 \u0915\u0930\u0947\u0902<\/button><span class=\"\" data-state=\"closed\"><button class=\"flex items-center gap-1 px-4 py-1 select-none\">\u092c\u0926\u0932\u0947\u0902<\/button><\/span><\/div>\n<\/div>\n<\/div>\n<div class=\"overflow-y-auto p-4\" dir=\"ltr\"><code class=\"whitespace-pre!\"><br \/>\n4<br \/>\n|<br \/>\n3<br \/>\n|<br \/>\n2<br \/>\n|<br \/>\n1<br \/>\n<\/code><\/div>\n<\/div>\n<p class=\"\" data-start=\"1395\" data-end=\"1434\">\n<p class=\"\" data-start=\"1436\" data-end=\"1514\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u092f\u0939 \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0924\u0924\u094d\u0935 \u0905\u092a\u0928\u0947 \u0905\u0917\u0932\u0947 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u0948, \u0914\u0930 \u0938\u092d\u0940 \u0924\u0924\u094d\u0935 \u0924\u0941\u0932\u0928\u0940\u092f \u0939\u0948\u0902\u0964<\/span><\/p>\n<hr class=\"\" data-start=\"1516\" data-end=\"1519\" \/>\n<h3 class=\"\" data-start=\"1521\" data-end=\"1539\">\ud83e\uddea <strong data-start=\"1528\" data-end=\"1539\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><\/h3>\n<p class=\"\" data-start=\"1541\" data-end=\"1628\"><strong data-start=\"1541\" data-end=\"1549\">\u0938\u0947\u091f:<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><span class=\"katex\"><span class=\"katex-mathml\">{1,2,4,8,16}\\{1, 2, 4, 8, 16\\}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">4<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">8<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">16<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span><\/p>\n<p class=\"\" data-start=\"1630\" data-end=\"1719\"><strong data-start=\"1630\" data-end=\"1640\">\u0938\u0902\u092c\u0902\u0927:<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">&#8220;divides&#8221; (\u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948), \u0905\u0930\u094d\u0925\u093e\u0924\u094d <span class=\"katex\"><span class=\"katex-mathml\">a\u2223ba \\mid b<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mrel\">\u2223<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> \u092f\u0926\u093f <span class=\"katex\"><span class=\"katex-mathml\">aa<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span> <span class=\"katex\"><span class=\"katex-mathml\">bb<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span> \u0915\u094b \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/span><\/p>\n<p class=\"\" data-start=\"1721\" data-end=\"1734\"><strong data-start=\"1721\" data-end=\"1734\">\u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923:<\/strong><\/p>\n<ul data-start=\"1736\" data-end=\"1858\">\n<li class=\"\" data-start=\"1736\" data-end=\"1777\">\n<p class=\"\" data-start=\"1738\" data-end=\"1777\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">1 divides 2, 2 divides 4, 4 divides 8, 8 divides 16<\/span><\/p>\n<\/li>\n<li class=\"\" data-start=\"1778\" data-end=\"1858\">\n<p class=\"\" data-start=\"1780\" data-end=\"1858\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u0939\u0930 \u091c\u094b\u0921\u093c\u0940 \u0924\u0941\u0932\u0928\u0940\u092f \u0939\u0948\u0964<\/span><\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"1860\" data-end=\"1952\"><strong data-start=\"1860\" data-end=\"1873\">\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/strong> <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u092f\u0939 \u090f\u0915 Total Order Relation \u0939\u0948, \u0914\u0930 \u0907\u0938\u0915\u093e Hasse Diagram \u090f\u0915 \u0938\u0940\u0927\u0940 \u0930\u0947\u0916\u093e \u0939\u094b\u0917\u0940\u0964<\/span><\/p>\n<hr class=\"\" data-start=\"1954\" data-end=\"1957\" \/>\n<h3 class=\"\" data-start=\"1959\" data-end=\"1987\">\ud83d\udccc <strong data-start=\"1966\" data-end=\"1987\">\u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u092c\u093f\u0902\u0926\u0941:<\/strong><\/h3>\n<ul data-start=\"1989\" data-end=\"2111\">\n<li class=\"\" data-start=\"1989\" data-end=\"2030\">\n<p class=\"\" data-start=\"1991\" data-end=\"2030\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u0939\u0930 Total Order Relation \u090f\u0915 Partial Order Relation \u0939\u094b\u0924\u093e \u0939\u0948, \u0932\u0947\u0915\u093f\u0928 \u0939\u0930 Partial Order Relation \u0906\u0935\u0936\u094d\u092f\u0915 \u0928\u0939\u0940\u0902 \u0915\u093f Total Order \u0939\u094b\u0964<\/span><\/p>\n<\/li>\n<li class=\"\" data-start=\"2031\" data-end=\"2111\">\n<p class=\"\" data-start=\"2033\" data-end=\"2111\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Hasse Diagram \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0939\u092e \u0915\u093f\u0938\u0940 \u092d\u0940 Poset \u0915\u0940 \u0938\u0902\u0930\u091a\u0928\u093e \u0915\u094b \u0906\u0938\u093e\u0928\u0940 \u0938\u0947 \u0938\u092e\u091d \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/span><\/p>\n<\/li>\n<\/ul>\n<hr class=\"\" data-start=\"2113\" data-end=\"2116\" \/>\n<p class=\"\" data-start=\"2118\" data-end=\"2249\">\u092f\u0926\u093f \u0906\u092a \u0907\u0938 \u0935\u093f\u0937\u092f \u092a\u0930 \u0914\u0930 \u0905\u0927\u093f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923, \u0905\u092d\u094d\u092f\u093e\u0938 \u092a\u094d\u0930\u0936\u094d\u0928, \u092f\u093e \u0935\u0940\u0921\u093f\u092f\u094b \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932\u094d\u0938 \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0915\u0943\u092a\u092f\u093e \u092c\u0924\u093e\u090f\u0902\u0964 \u092e\u0948\u0902 \u0906\u092a\u0915\u0940 \u0938\u0939\u093e\u092f\u0924\u093e \u0915\u0947 \u0932\u093f\u090f \u092f\u0939\u093e\u0901 \u0939\u0942\u0901!<\/p>\n<h3 data-start=\"2118\" data-end=\"2249\"><a href=\"https:\/\/www2.cs.uh.edu\/~arjun\/courses\/ds\/DiscMaths4CompSc.pdf\" target=\"_blank\" rel=\"noopener\">Day 03 Part 02- Discrete mathematics for cse-Total order relation and it&#8217;s graph representation.<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/niamt.ac.in\/WriteReadData\/Mathematics%20(Discrete%20Structure).pdf\" target=\"_blank\" rel=\"noopener\">Mathematics (Discrete Structure).pdf<\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Day 03 Part 02- Discrete mathematics for cse-Total order relation and it&#8217;s graph representation. [fvplayer id=&#8221;229&#8243;] Day 03 Part 02: Discrete Mathematics for CSE \u2013 Total Order Relation and Its Graph Representation \ud83d\udcd8 Total Order Relation (\u092a\u0942\u0930\u094d\u0923 \u0915\u094d\u0930\u092e \u0938\u0902\u092c\u0902\u0927) \u0915\u094d\u092f\u093e \u0939\u0948? Total Order Relation \u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u093e Partial Order Relation \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u0915\u093f\u0938\u0940 \u092d\u0940 [&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-3040","post","type-post","status-publish","format-standard","hentry","category-discrete-mathematics"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3040","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=3040"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3040\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=3040"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=3040"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=3040"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}