{"id":114479,"date":"2025-12-07T03:00:32","date_gmt":"2025-12-06T21:00:32","guid":{"rendered":"https:\/\/sarakhon.com\/?p=114479"},"modified":"2025-12-06T16:14:32","modified_gmt":"2025-12-06T10:14:32","slug":"%e0%a6%aa%e0%a7%8d%e0%a6%b0%e0%a6%be%e0%a6%9a%e0%a7%80%e0%a6%a8-%e0%a6%ad%e0%a6%be%e0%a6%b0%e0%a6%a4%e0%a7%87-%e0%a6%97%e0%a6%a3%e0%a6%bf%e0%a6%a4%e0%a6%9a%e0%a6%b0%e0%a7%8d%e0%a6%9a%e0%a6%be-329","status":"publish","type":"post","link":"https:\/\/sarakhon.com\/?p=114479","title":{"rendered":"\u09aa\u09cd\u09b0\u09be\u099a\u09c0\u09a8 \u09ad\u09be\u09b0\u09a4\u09c7 \u0997\u09a3\u09bf\u09a4\u099a\u09b0\u09cd\u099a\u09be (\u09aa\u09b0\u09cd\u09ac-\u09e9\u09e9\u09ec)"},"content":{"rendered":"<p><em>\u09ac\u09cd\u09b0\u09b9\u09cd\u09ae\u0997\u09c1\u09aa\u09cd\u09a4, \u09ae\u09b9\u09be\u09ac\u09c0\u09b0, \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u0986\u09b0\u09cd\u09af\u09ad\u099f, \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09ad\u09be\u09b8\u09cd\u0995\u09b0\u09be\u099a\u09be\u09b0\u09cd\u09af \u09aa\u09cd\u09b0\u09ae\u09c1\u0996\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a3\u09be\u09b2\u09c0\u09a4\u09c7 \u09b8\u09ae\u09be\u09a7\u09be\u09a8 \u0995\u09b0\u09c7 \u098f\u09a6\u09c7\u09b0 \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf\u0997\u09c1\u09b2\u09bf \u09b8\u09cd\u09aa\u09b7\u09cd\u099f \u0995\u09b0\u09c7 \u09a4\u09c1\u09b2\u09c7 \u09a7\u09b0\u099b\u09bf&#8230;<\/em><\/p>\n<p><strong>\u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af<\/strong> (\u0995) \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09eb=by+c \u098f\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf\u09b0 \u09b8\u09ae\u09be\u09a7\u09be\u09a8 \u09aa\u09cd\u09b0\u09a5\u09ae \u0986\u09b0\u09cd\u09af\u09ad\u099f \u0993 \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09ad\u09be\u09b8\u09cd\u0995\u09b0\u09be\u099a\u09be\u09b0\u09cd\u09af\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af \u09ac\u09b0\u09cd\u09a4\u09ae\u09be\u09a8\u0964 \u09af\u09a6\u09bf\u0993 \u09ad\u09be\u0997\u09b6\u09c7\u09b7\u09c7\u09b0 \u09b6\u09c3\u0999\u09cd\u0996\u09b2\u099f\u09bf \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09ad\u09be\u09b8\u09cd\u0995\u09b0\u09be\u099a\u09be\u09b0\u09cd\u09af \u09aa\u09cd\u09b0\u09a5\u09ae \u0986\u09a7\u09ad\u099f\u09c7\u09b0 \u09b6\u09c3\u0999\u09cd\u0996\u09b2 \u09a5\u09c7\u0995\u09c7 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af \u09a8\u09bf\u09df\u09c7\u099b\u09c7\u09a8\u0964 \u098f\u0996\u09a8 \u09aa\u09cd\u09b0\u09a5\u09ae \u0986\u09b0\u09cd\u09af\u09ad\u099f, \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u0986\u09b0\u09cd\u09af\u09ad\u099f \u0993 \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09ad\u09be\u09b8\u09cd\u0995\u09b0\u09be\u099a\u09be\u09b0\u09cd\u09af\u09c7\u09b0 \u09ad\u09be\u0997\u09b6\u09c7\u09b7\u09c7\u09b0 \u09b6\u09c3\u0999\u09cd\u0996\u09b2 \u09a8\u09bf\u09df\u09c7 \u09a4\u09c1\u09b2\u09a8\u09be \u0995\u09b0\u09be \u09af\u09be\u0995\u0964<\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-114480 aligncenter\" src=\"https:\/\/sarakhon.com\/wp-content\/uploads\/2025\/12\/4-8.jpg\" alt=\"\" width=\"560\" height=\"120\" \/><\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-114481 aligncenter\" src=\"https:\/\/sarakhon.com\/wp-content\/uploads\/2025\/12\/5-6.jpg\" alt=\"\" width=\"532\" height=\"144\" \/><\/p>\n<p>\u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09ad\u09be\u09b8\u09cd\u0995\u09b0\u09be\u099a\u09be\u09b0\u09cd\u09af \u0985\u09a4\u09bf\u09b0\u09bf\u0995\u09cd\u09a4 \u09b9\u09c7\u09a4\u09c1 \u09ac\u09be\u09a4\u09bf\u09b2 \u0995\u09b0\u09c7 \u09a6\u09bf\u09df\u09c7\u099b\u09c7\u09a8, \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u0986\u09b0\u09cd\u09af\u09ad\u099f \u0990 \u098f\u0995\u0987 \u0995\u09be\u09b0\u09a3\u09c7 \u098f\u09ac\u0982 1 \u0995\u09c7 \u09ac\u09be\u09a4\u09bf\u09b2 \u0995\u09b0\u09c7 \u09a6\u09bf\u09df\u09c7\u099b\u09c7\u09a8\u0964<\/p>\n<p>(\u0996) \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09ad\u09be\u09b8\u09cd\u0995\u09b0\u09be\u099a\u09be\u09b0\u09cd\u09af \u0995\u09cd\u09b7\u09c7\u09aa \u098b\u09a3\u09be\u09a4\u09cd\u09ae\u0995 \u09b9\u09b2\u09c7 \u098f\u09ac\u0982 \u09ad\u09be\u099c\u0995 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09ac\u09bf\u09ad\u09be\u099c\u09cd\u09af \u09b9\u09b2\u09c7 \u09b8\u09c7\u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09ac\u09be\u09a4\u09bf\u09b2 \u0995\u09b0\u09c7\u09a8 \u09a8\u09bf\u0964<\/p>\n<p>Ax = By &#8211; mA \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09c7 \u09af\u0996\u09a8 y = 0 \u09a7\u09b0\u09c7\u099b\u09c7\u09a8\u0964 x = &#8211; m<\/p>\n<p>x = Bt &#8211; m y = At \u098f\u09ac\u0982 \u098f\u09b0 \u098f\u09ae\u09a8 \u098f\u0995\u099f\u09bf \u09b8\u09be\u0982\u0997\u09bf\u0995 \u09ae\u09be\u09a8 \u09a6\u09bf\u09df\u09c7\u099b\u09c7\u09a8 \u09af\u09be\u09b0 \u09ab\u09b2\u09c7 \u09a7\u09a8\u09be\u09a4\u09cd\u09ae\u0995 \u09b9\u09df\u0964 \u098f\u099b\u09be\u09dc\u09be\u0993 \u0986\u09b0\u0993 \u09a8\u09be\u09a8\u09be \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af \u09b2\u0995\u09cd\u09b7\u09cd\u09af \u0995\u09b0\u09be \u09af\u09be\u09df\u0964<\/p>\n<p>\u098f\u0996\u09a8 \u0986\u09ae\u09b0\u09be \u0985\u09a8\u09bf\u09b0\u09cd\u09a3\u09c7\u09df \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09c7\u09b0 \u098f\u0995\u099f\u09bf \u0989\u09a6\u09be\u09b9\u09b0\u09a3 63x = 100y + 90 \u09a8\u09bf\u09df\u09c7 \u09aa\u09cd\u09b0\u09a5\u09ae \u0986\u09b0\u09cd\u09af\u09ad\u099f, \u09ac\u09cd\u09b0\u09b9\u09cd\u09ae\u0997\u09c1\u09aa\u09cd\u09a4, \u09ae\u09b9\u09be\u09ac\u09c0\u09b0, \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u0986\u09b0\u09cd\u09af\u09ad\u099f, \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09ad\u09be\u09b8\u09cd\u0995\u09b0\u09be\u099a\u09be\u09b0\u09cd\u09af \u09aa\u09cd\u09b0\u09ae\u09c1\u0996\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a3\u09be\u09b2\u09c0\u09a4\u09c7 \u09b8\u09ae\u09be\u09a7\u09be\u09a8 \u0995\u09b0\u09c7 \u098f\u09a6\u09c7\u09b0 \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf\u0997\u09c1\u09b2\u09bf \u09b8\u09cd\u09aa\u09b7\u09cd\u099f \u0995\u09b0\u09c7 \u09a4\u09c1\u09b2\u09c7 \u09a7\u09b0\u099b\u09bf\u0964<\/p>\n<p>(\u0995) \u09aa\u09cd\u09b0\u09a5\u09ae \u0986\u09b0\u09cd\u09af\u09ad\u099f<\/p>\n<p>\u098f \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u0986\u09b0\u09cd\u09af\u09ad\u099f\u09c7\u09b0 \u09b6\u09c3\u0999\u09cd\u0996\u09b2\u0997\u09c1\u09b2\u09bf \u09a8\u09bf\u09ae\u09cd\u09a8\u09b0\u09c2\u09aa <img decoding=\"async\" class=\"size-full wp-image-114482 aligncenter\" src=\"https:\/\/sarakhon.com\/wp-content\/uploads\/2025\/12\/8-3.jpg\" alt=\"\" width=\"180\" height=\"143\" \/>1 -&gt; 100t + 2430<\/p>\n<p>1 -&gt; (37t + 900) + (26t + 630) = 63t + 1530<\/p>\n<p>1 -&gt; (26t + 630) + (11t + 270) = 37t + 900<\/p>\n<p>2 -&gt; (11t + 270) + (4t + 90) = 26t + 630<\/p>\n<p>2 -&gt; 2(4t + 90) + (3t + 9t) = 11t + 270<\/p>\n<p>1 -&gt; (3t + 90) + t = 4t + 90<\/p>\n<p>3 -&gt; 3t + 90<\/p>\n<p>t<\/p>\n<p>90<\/p>\n<p>\u098f\u0996\u09a8 63t +1530 \u2261 8(mod 63)<\/p>\n<p>y \u098f\u09b0 \u09b2\u0998\u09bf\u09b7\u09cd\u099f \u09ae\u09be\u09a8 y = 18<\/p>\n<p>\u0986\u09ac\u09be\u09b0 100t +2430\u2261 30(mod 100)<\/p>\n<p>x \u098f\u09b0 \u09b2\u0998\u09bf\u09b7\u09cd\u099f \u09ae\u09be\u09a8 x = 30<\/p>\n<p><strong>(\u099a\u09b2\u09ac\u09c7)<\/strong><\/p>\n<h4 class=\"single-page-title\">\u09aa\u09cd\u09b0\u09be\u099a\u09c0\u09a8 \u09ad\u09be\u09b0\u09a4\u09c7 \u0997\u09a3\u09bf\u09a4\u099a\u09b0\u09cd\u099a\u09be (\u09aa\u09b0\u09cd\u09ac-\u09e9\u09e9\u09eb)<\/h4>\n<blockquote class=\"wp-embedded-content\" data-secret=\"MEH9Pfy5tb\"><p><a href=\"https:\/\/sarakhon.com\/?p=114215\">\u09aa\u09cd\u09b0\u09be\u099a\u09c0\u09a8 \u09ad\u09be\u09b0\u09a4\u09c7 \u0997\u09a3\u09bf\u09a4\u099a\u09b0\u09cd\u099a\u09be (\u09aa\u09b0\u09cd\u09ac-\u09e9\u09e9\u09eb)<\/a><\/p><\/blockquote>\n<p><iframe loading=\"lazy\" class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; 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\u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af (\u0995) \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09eb=by+c \u098f\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf\u09b0 \u09b8\u09ae\u09be\u09a7\u09be\u09a8 \u09aa\u09cd\u09b0\u09a5\u09ae \u0986\u09b0\u09cd\u09af\u09ad\u099f \u0993 \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09ad\u09be\u09b8\u09cd\u0995\u09b0\u09be\u099a\u09be\u09b0\u09cd\u09af\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af \u09ac\u09b0\u09cd\u09a4\u09ae\u09be\u09a8\u0964 \u09af\u09a6\u09bf\u0993 \u09ad\u09be\u0997\u09b6\u09c7\u09b7\u09c7\u09b0 \u09b6\u09c3\u0999\u09cd\u0996\u09b2\u099f\u09bf \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09ad\u09be\u09b8\u09cd\u0995\u09b0\u09be\u099a\u09be\u09b0\u09cd\u09af \u09aa\u09cd\u09b0\u09a5\u09ae \u0986\u09a7\u09ad\u099f\u09c7\u09b0 \u09b6\u09c3\u0999\u09cd\u0996\u09b2 \u09a5\u09c7\u0995\u09c7 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af \u09a8\u09bf\u09df\u09c7\u099b\u09c7\u09a8\u0964 \u098f\u0996\u09a8 \u09aa\u09cd\u09b0\u09a5\u09ae \u0986\u09b0\u09cd\u09af\u09ad\u099f, \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u0986\u09b0\u09cd\u09af\u09ad\u099f \u0993 \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09ad\u09be\u09b8\u09cd\u0995\u09b0\u09be\u099a\u09be\u09b0\u09cd\u09af\u09c7\u09b0 \u09ad\u09be\u0997\u09b6\u09c7\u09b7\u09c7\u09b0 \u09b6\u09c3\u0999\u09cd\u0996\u09b2 \u09a8\u09bf\u09df\u09c7 \u09a4\u09c1\u09b2\u09a8\u09be [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":114483,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[38,17],"tags":[],"location":[],"class_list":["post-114479","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-38","category-17"],"cmb2":{"heading_information":{"sub_title":""},"reporter_information":{"video":"","reporter_name":"\u09aa\u09cd\u09b0\u09a6\u09c0\u09aa \u0995\u09c1\u09ae\u09be\u09b0 \u09ae\u099c\u09c1\u09ae\u09a6\u09be\u09b0"},"audio_information":{"audio_link":"","audio_link_id":""},"seo_information":{"meta_keyword":""}},"_links":{"self":[{"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/posts\/114479","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=114479"}],"version-history":[{"count":1,"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/posts\/114479\/revisions"}],"predecessor-version":[{"id":114487,"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/posts\/114479\/revisions\/114487"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/media\/114483"}],"wp:attachment":[{"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=114479"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=114479"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=114479"},{"taxonomy":"location","embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Flocation&post=114479"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}