{"id":2996,"date":"2025-06-05T14:32:22","date_gmt":"2025-06-05T14:32:22","guid":{"rendered":"https:\/\/diznr.com\/?p=2996"},"modified":"2025-06-05T14:32:22","modified_gmt":"2025-06-05T14:32:22","slug":"day-05part-02-discrete-mathematics-for-gate-in-hindi-type-of-quantifiers-of-predicate-logic","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/day-05part-02-discrete-mathematics-for-gate-in-hindi-type-of-quantifiers-of-predicate-logic\/","title":{"rendered":"Day 05Part 02- Discrete mathematics for gate in Hindi-Type of quantifiers of predicate logic."},"content":{"rendered":"

Day 05Part 02- Discrete mathematics for gate in Hindi-Type of quantifiers of predicate logic.<\/p>\n

[fvplayer id=”207″]<\/p>\n

\u092f\u0939\u093e\u0901 \u092a\u0930 Discrete Mathematics (GATE \u0915\u0947 \u0932\u093f\u090f)<\/strong> \u0915\u0947 \u0905\u0902\u0924\u0930\u094d\u0917\u0924 Predicate Logic \u0915\u0947 Quantifiers<\/strong> \u0915\u093e \u0938\u0930\u0932 \u0914\u0930 \u0938\u0902\u092a\u0942\u0930\u094d\u0923 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0935\u093f\u0935\u0930\u0923 \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948:<\/p>\n

\n

\ud83d\udcd8 Day 05 Part 02 \u2013 Predicate Logic \u0915\u0947 Quantifiers (Hindi \u092e\u0947\u0902)<\/strong><\/h2>\n
\n

\ud83d\udd39 Quantifiers \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u0947 \u0939\u0948\u0902?<\/strong><\/h2>\n

Quantifiers<\/strong> \u0915\u093e \u0909\u092a\u092f\u094b\u0917 predicate logic<\/strong> \u092e\u0947\u0902 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u093e\u0915\u093f \u0939\u092e \u092f\u0939 \u092c\u0924\u093e \u0938\u0915\u0947\u0902 \u0915\u093f \u0915\u094b\u0908 \u0915\u0925\u0928 (statement) \u0915\u093f\u0924\u0928\u0947 \u0924\u0924\u094d\u0935\u094b\u0902 \u092a\u0930 \u0932\u093e\u0917\u0942<\/strong> \u0939\u094b\u0924\u093e \u0939\u0948 \u2014 \u091c\u0948\u0938\u0947 “\u0938\u092d\u0940 \u0915\u0947 \u0932\u093f\u090f”, “\u0915\u0941\u091b \u0915\u0947 \u0932\u093f\u090f” \u0906\u0926\u093f\u0964<\/p>\n

\n

\ud83d\udd38 Quantifiers \u0915\u0947 \u092a\u094d\u0930\u0915\u093e\u0930 (Types of Quantifiers):<\/strong><\/h2>\n

1. \u2705 Universal Quantifier (\u0938\u093e\u0930\u094d\u0935\u092d\u094c\u092e\u093f\u0915 \u092a\u0930\u093f\u092e\u093e\u092a\u0915)<\/strong><\/h3>\n

\ud83d\udd39 Symbol: \u2200 (For all \/ \u0938\u092d\u0940 \u0915\u0947 \u0932\u093f\u090f)<\/h4>\n
    \n
  • \u092f\u0939 \u092c\u0924\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0915\u094b\u0908 \u0915\u0925\u0928 \u0938\u092d\u0940 \u0935\u0938\u094d\u0924\u0941\u0913\u0902<\/strong> \u0915\u0947 \u0932\u093f\u090f \u0938\u0924\u094d\u092f \u0939\u0948\u0964<\/li>\n
  • Structure:<\/strong> \u2200x P(x)<\/code> \u0915\u093e \u092e\u0924\u0932\u092c \u0939\u0948 \u201c\u0938\u092d\u0940 x \u0915\u0947 \u0932\u093f\u090f, P(x) \u0938\u0924\u094d\u092f \u0939\u0948\u0964\u201d<\/li>\n<\/ul>\n

    \ud83e\uddfe \u0909\u0926\u093e\u0939\u0930\u0923:<\/h4>\n
      \n
    • \u2200x \u2208 N, x + 0 = x
      \n\u27a4 “\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u093e\u0915\u0943\u0924\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e x \u0915\u0947 \u0932\u093f\u090f, x + 0 = x \u0939\u094b\u0924\u093e \u0939\u0948\u0964”<\/li>\n<\/ul>\n
      \n

      2. \u2705 Existential Quantifier (\u0905\u0938\u094d\u0924\u093f\u0924\u094d\u0935 \u0938\u0942\u091a\u0915 \u092a\u0930\u093f\u092e\u093e\u092a\u0915)<\/strong><\/h3>\n

      \ud83d\udd39 Symbol: \u2203 (There exists \/ \u0915\u094b\u0908 \u090f\u0915 \u0924\u094b \u0910\u0938\u093e \u0939\u0948…)<\/h4>\n
        \n
      • \u092f\u0939 \u092c\u0924\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0915\u092e \u0938\u0947 \u0915\u092e \u090f\u0915 \u0935\u0938\u094d\u0924\u0941<\/strong> \u0910\u0938\u0940 \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0932\u093f\u090f \u0915\u0925\u0928 \u0938\u0924\u094d\u092f \u0939\u0948\u0964<\/li>\n
      • Structure:<\/strong> \u2203x P(x)<\/code> \u0915\u093e \u092e\u0924\u0932\u092c \u0939\u0948 \u201c\u0915\u092e \u0938\u0947 \u0915\u092e \u090f\u0915 x \u0915\u0947 \u0932\u093f\u090f, P(x) \u0938\u0924\u094d\u092f \u0939\u0948\u0964\u201d<\/li>\n<\/ul>\n

        \ud83e\uddfe \u0909\u0926\u093e\u0939\u0930\u0923:<\/h4>\n
          \n
        • \u2203x \u2208 Z, x\u00b2 = 4
          \n\u27a4 “\u0910\u0938\u093e \u0915\u094b\u0908 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 x \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0932\u093f\u090f x\u00b2 = 4 \u0939\u0948\u0964” (\u091c\u0948\u0938\u0947 x = 2 \u092f\u093e -2)<\/li>\n<\/ul>\n
          \n

          \ud83d\udd01 Important Concepts (\u092f\u093e\u0926 \u0930\u0916\u0928\u0947 \u092f\u094b\u0917\u094d\u092f \u092c\u093e\u0924\u0947\u0902):<\/strong><\/h2>\n\n\n\n\n\n\n
          Quantifier<\/th>\nSymbol<\/th>\n\u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0905\u0930\u094d\u0925<\/th>\n\u0907\u0902\u0917\u094d\u0932\u093f\u0936 \u092e\u0947\u0902 \u0905\u0930\u094d\u0925<\/th>\n<\/tr>\n<\/thead>\n
          Universal<\/td>\n\u2200<\/td>\n\u0938\u092d\u0940 x \u0915\u0947 \u0932\u093f\u090f<\/td>\nFor all \/ For every<\/td>\n<\/tr>\n
          Existential<\/td>\n\u2203<\/td>\n\u0915\u094b\u0908 \u090f\u0915 \u0910\u0938\u093e x \u092e\u094c\u091c\u0942\u0926 \u0939\u0948<\/td>\nThere exists \/ At least one<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
          \n

          \ud83d\udd04 Negation of Quantifiers (\u0935\u093f\u0932\u094b\u092e \/ \u0928\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915 \u0930\u0942\u092a)<\/strong><\/h2>\n\n\n\n\n\n\n\n\n
          Original Statement<\/th>\nNegation Form<\/th>\n<\/tr>\n<\/thead>\n
          \u2200x P(x)<\/td>\n\u2203x \u00acP(x)<\/td>\n<\/tr>\n
          (“\u0938\u092d\u0940 \u0915\u0947 \u0932\u093f\u090f \u0938\u0924\u094d\u092f \u0939\u0948”)<\/td>\n(“\u0915\u092e \u0938\u0947 \u0915\u092e \u090f\u0915 \u0915\u0947 \u0932\u093f\u090f \u0905\u0938\u0924\u094d\u092f \u0939\u0948”)<\/td>\n<\/tr>\n
          \u2203x P(x)<\/td>\n\u2200x \u00acP(x)<\/td>\n<\/tr>\n
          (“\u0915\u0941\u091b \u0915\u0947 \u0932\u093f\u090f \u0938\u0924\u094d\u092f \u0939\u0948”)<\/td>\n(“\u0938\u092d\u0940 \u0915\u0947 \u0932\u093f\u090f \u0905\u0938\u0924\u094d\u092f \u0939\u0948”)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
          \n

          \ud83d\udcda GATE Point of View:<\/strong><\/h2>\n
            \n
          • Predicate logic \u092e\u0947\u0902 quantifiers \u0938\u0947 \u091c\u0941\u0921\u093c\u0947 \u0938\u0935\u093e\u0932 \u0905\u0915\u094d\u0938\u0930 \u0906\u0924\u0947 \u0939\u0948\u0902 \u091c\u0948\u0938\u0947:\n
              \n
            • \u0938\u0939\u0940 \u0935\u093f\u0932\u094b\u092e (negation) \u0928\u093f\u0915\u093e\u0932\u0928\u093e<\/li>\n
            • Quantified statements \u0915\u094b English \u092e\u0947\u0902 \u092f\u093e symbolic \u0930\u0942\u092a \u092e\u0947\u0902 \u092c\u0926\u0932\u0928\u093e<\/li>\n
            • Statement \u0915\u093e Truth value \u0928\u093f\u0915\u093e\u0932\u0928\u093e<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
              \n

              \ud83d\udd27 Practice Example:<\/strong><\/h2>\n

              \u0915\u0925\u0928: “\u0939\u0930 \u091b\u093e\u0924\u094d\u0930 \u092a\u093e\u0938 \u0939\u0941\u0906\u0964”
              \n\u27a4 Symbolically: \u2200x \u2208 Students, Passed(x)<\/p>\n

              \u0935\u093f\u0932\u094b\u092e: “\u0915\u092e \u0938\u0947 \u0915\u092e \u090f\u0915 \u091b\u093e\u0924\u094d\u0930 \u092a\u093e\u0938 \u0928\u0939\u0940\u0902 \u0939\u0941\u0906\u0964”
              \n\u27a4 \u2203x \u2208 Students, \u00acPassed(x)<\/p>\n

              \n

              \u0905\u0917\u0930 \u0906\u092a \u091a\u093e\u0939\u0947\u0902, \u0924\u094b \u092e\u0948\u0902 \u0907\u0938\u0915\u093e \u0935\u0940\u0921\u093f\u092f\u094b \u0938\u094d\u091f\u093e\u0907\u0932 \u0938\u093e\u0930\u093e\u0902\u0936, \u0915\u094d\u0935\u093f\u091c\u093c \u092f\u093e PDF \u092d\u0940 \u0924\u0948\u092f\u093e\u0930 \u0915\u0930 \u0938\u0915\u0924\u093e \u0939\u0942\u0901\u0964<\/p>\n

              \u0915\u094d\u092f\u093e \u0906\u092a \u091a\u093e\u0939\u0947\u0902\u0917\u0947 \u0907\u0938\u0915\u093e \u0928\u094b\u091f\u094d\u0938 \u092b\u093c\u0949\u0930\u094d\u092e\u0947\u091f<\/strong> \u092f\u093e MCQs practice set<\/strong>?<\/p>\n","protected":false},"excerpt":{"rendered":"

              Day 05Part 02- Discrete mathematics for gate in Hindi-Type of quantifiers of predicate logic. [fvplayer id=”207″] \u092f\u0939\u093e\u0901 \u092a\u0930 Discrete Mathematics (GATE \u0915\u0947 \u0932\u093f\u090f) \u0915\u0947 \u0905\u0902\u0924\u0930\u094d\u0917\u0924 Predicate Logic \u0915\u0947 Quantifiers \u0915\u093e \u0938\u0930\u0932 \u0914\u0930 \u0938\u0902\u092a\u0942\u0930\u094d\u0923 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0935\u093f\u0935\u0930\u0923 \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948: \ud83d\udcd8 Day 05 Part 02 \u2013 Predicate Logic \u0915\u0947 Quantifiers (Hindi \u092e\u0947\u0902) \ud83d\udd39 Quantifiers \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u0947 […]<\/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-2996","post","type-post","status-publish","format-standard","hentry","category-discrete-mathematics"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/2996","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=2996"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/2996\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=2996"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=2996"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=2996"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}