{"id":30613,"date":"2023-09-18T09:55:28","date_gmt":"2023-09-18T02:55:28","guid":{"rendered":"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi"},"modified":"2023-09-18T09:55:28","modified_gmt":"2023-09-18T02:55:28","slug":"thua-so-la-gi","status":"publish","type":"post","link":"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi","title":{"rendered":"T\u00ecm hi\u1ec3u v\u1ec1 th\u1eeba s\u1ed1 v\u00e0 c\u00e1ch ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1"},"content":{"rendered":"<p>&#8220;Th\u1eeba s\u1ed1 l\u00e0 kh\u00e1i ni\u1ec7m to\u00e1n h\u1ecdc quan tr\u1ecdng, ch\u1ec9 \u0111\u01a1n gi\u1ea3n l\u00e0 s\u1ed1 d\u01b0 sau khi chia m\u1ed9t s\u1ed1 cho m\u1ed9t s\u1ed1 kh\u00e1c. Hi\u1ec3u v\u1ec1 th\u1eeba s\u1ed1 s\u1ebd gi\u00fap ta hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 ph\u00e9p chia v\u00e0 \u00e1p d\u1ee5ng trong nhi\u1ec1u b\u00e0i to\u00e1n th\u1ef1c t\u1ebf.&#8221;<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_40 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" area-label=\"ez-toc-toggle-icon-1\"><label for=\"item-6ad180a1475f6\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-6ad180a1475f6\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#1_Tru_so_chinh\" title=\"1. Tr\u1ee5 s\u1edf ch\u00ednh:\">1. Tr\u1ee5 s\u1edf ch\u00ednh:<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#Tru_so_chinh_cua_cong_ty\" title=\"Tr\u1ee5 s\u1edf ch\u00ednh c\u1ee7a c\u00f4ng ty\">Tr\u1ee5 s\u1edf ch\u00ednh c\u1ee7a c\u00f4ng ty<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#Vi_tri_cua_tru_so_chinh\" title=\"V\u1ecb tr\u00ed c\u1ee7a tr\u1ee5 s\u1edf ch\u00ednh\">V\u1ecb tr\u00ed c\u1ee7a tr\u1ee5 s\u1edf ch\u00ednh<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#2_Thua_so_la_gi\" title=\"2. Th\u1eeba s\u1ed1 l\u00e0 g\u00ec?\">2. Th\u1eeba s\u1ed1 l\u00e0 g\u00ec?<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#Vi_du_ve_thua_so\" title=\"V\u00ed d\u1ee5 v\u1ec1 th\u1eeba s\u1ed1\">V\u00ed d\u1ee5 v\u1ec1 th\u1eeba s\u1ed1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#Cong_dung_cua_viec_tim_thua_so\" title=\"C\u00f4ng d\u1ee5ng c\u1ee7a vi\u1ec7c t\u00ecm th\u1eeba s\u1ed1\">C\u00f4ng d\u1ee5ng c\u1ee7a vi\u1ec7c t\u00ecm th\u1eeba s\u1ed1<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#3_Cach_phan_tich_mot_so_thanh_cac_thua_so\" title=\"3. C\u00e1ch ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1\">3. C\u00e1ch ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#Phuong_phap_phan_tich_theo_uoc_chung_nho_nhat\" title=\"Ph\u01b0\u01a1ng ph\u00e1p ph\u00e2n t\u00edch theo \u01b0\u1edbc chung nh\u1ecf nh\u1ea5t\">Ph\u01b0\u01a1ng ph\u00e1p ph\u00e2n t\u00edch theo \u01b0\u1edbc chung nh\u1ecf nh\u1ea5t<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#Phuong_phap_su_dung_cong_thuc_hoac_thuat_toan\" title=\"Ph\u01b0\u01a1ng ph\u00e1p s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c ho\u1eb7c thu\u1eadt to\u00e1n\">Ph\u01b0\u01a1ng ph\u00e1p s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c ho\u1eb7c thu\u1eadt to\u00e1n<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#Phuong_phap_su_dung_quy_tac_dac_biet\" title=\"Ph\u01b0\u01a1ng ph\u00e1p s\u1eed d\u1ee5ng quy t\u1eafc \u0111\u1eb7c bi\u1ec7t\">Ph\u01b0\u01a1ng ph\u00e1p s\u1eed d\u1ee5ng quy t\u1eafc \u0111\u1eb7c bi\u1ec7t<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#4_Loi_khuyen_khi_phan_tich_so_ra_thua_so\" title=\"4. L\u1eddi khuy\u00ean khi ph\u00e2n t\u00edch s\u1ed1 ra th\u1eeba s\u1ed1\">4. L\u1eddi khuy\u00ean khi ph\u00e2n t\u00edch s\u1ed1 ra th\u1eeba s\u1ed1<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#Bat_dau_tu_nhung_thua_so_nho_nhat\" title=\"B\u1eaft \u0111\u1ea7u t\u1eeb nh\u1eefng th\u1eeba s\u1ed1 nh\u1ecf nh\u1ea5t\">B\u1eaft \u0111\u1ea7u t\u1eeb nh\u1eefng th\u1eeba s\u1ed1 nh\u1ecf nh\u1ea5t<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#Kiem_tra_ket_qua\" title=\"Ki\u1ec3m tra k\u1ebft qu\u1ea3\">Ki\u1ec3m tra k\u1ebft qu\u1ea3<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#5_Y_nghia_cua_thua_so_trong_phep_tinh\" title=\"5. \u00dd ngh\u0129a c\u1ee7a th\u1eeba s\u1ed1 trong ph\u00e9p t\u00ednh\">5. \u00dd ngh\u0129a c\u1ee7a th\u1eeba s\u1ed1 trong ph\u00e9p t\u00ednh<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#Tim_ra_moi_quan_he_giua_cac_so\" title=\"T\u00ecm ra m\u1ed1i quan h\u1ec7 gi\u1eefa c\u00e1c s\u1ed1\">T\u00ecm ra m\u1ed1i quan h\u1ec7 gi\u1eefa c\u00e1c s\u1ed1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#Don_gian_hoa_phep_tinh\" title=\"\u0110\u01a1n gi\u1ea3n h\u00f3a ph\u00e9p t\u00ednh\">\u0110\u01a1n gi\u1ea3n h\u00f3a ph\u00e9p t\u00ednh<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#6_Cach_phan_tich_cac_so_lon_thanh_thua_so\" title=\"6. C\u00e1ch ph\u00e2n t\u00edch c\u00e1c s\u1ed1 l\u1edbn th\u00e0nh th\u1eeba s\u1ed1\">6. C\u00e1ch ph\u00e2n t\u00edch c\u00e1c s\u1ed1 l\u1edbn th\u00e0nh th\u1eeba s\u1ed1<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#Phan_tich_nguyen_to\" title=\"Ph\u00e2n t\u00edch nguy\u00ean t\u1ed1\">Ph\u00e2n t\u00edch nguy\u00ean t\u1ed1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/thua-so-la-gi\/#Su_dung_cong_thuc_hoac_thuat_toan_dac_biet\" title=\"S\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c ho\u1eb7c thu\u1eadt to\u00e1n \u0111\u1eb7c bi\u1ec7t\">S\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c ho\u1eb7c thu\u1eadt to\u00e1n \u0111\u1eb7c bi\u1ec7t<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"1_Tru_so_chinh\"><\/span>1. Tr\u1ee5 s\u1edf ch\u00ednh:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>S\u1ed1 89, ph\u1ed1 T\u00f4 V\u0129nh Di\u1ec7n, ph\u01b0\u1eddng Kh\u01b0\u01a1ng Trung, qu\u1eadn Thanh Xu\u00e2n, th\u00e0nh ph\u1ed1 H\u00e0 N\u1ed9i<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Tru_so_chinh_cua_cong_ty\"><\/span>Tr\u1ee5 s\u1edf ch\u00ednh c\u1ee7a c\u00f4ng ty<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Tr\u1ee5 s\u1edf ch\u00ednh c\u1ee7a c\u00f4ng ty l\u00e0 n\u01a1i m\u00e0 c\u00e1c ho\u1ea1t \u0111\u1ed9ng qu\u1ea3n l\u00fd v\u00e0 \u0111i\u1ec1u h\u00e0nh c\u1ee7a c\u00f4ng ty \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n. \u0110\u00e2y l\u00e0 n\u01a1i t\u1eadp trung c\u00e1c b\u1ed9 ph\u1eadn quan tr\u1ecdng nh\u01b0 ban gi\u00e1m \u0111\u1ed1c, k\u1ebf to\u00e1n, nh\u00e2n s\u1ef1 v\u00e0 marketing. Tr\u1ee5 s\u1edf ch\u00ednh th\u01b0\u1eddng c\u00f3 di\u1ec7n t\u00edch r\u1ed9ng v\u00e0 \u0111\u01b0\u1ee3c trang b\u1ecb c\u00e1c ti\u1ec7n \u00edch c\u1ea7n thi\u1ebft \u0111\u1ec3 h\u1ed7 tr\u1ee3 ho\u1ea1t \u0111\u1ed9ng c\u1ee7a c\u00f4ng ty.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Vi_tri_cua_tru_so_chinh\"><\/span>V\u1ecb tr\u00ed c\u1ee7a tr\u1ee5 s\u1edf ch\u00ednh<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Tr\u1ee5 s\u1edf ch\u00ednh c\u1ee7a c\u00f4ng ty n\u1eb1m \u1edf s\u1ed1 89, ph\u1ed1 T\u00f4 V\u0129nh Di\u1ec7n, ph\u01b0\u1eddng Kh\u01b0\u01a1ng Trung, qu\u1eadn Thanh Xu\u00e2n, th\u00e0nh ph\u1ed1 H\u00e0 N\u1ed9i. \u0110\u00e2y l\u00e0 m\u1ed9t v\u1ecb tr\u00ed thu\u1eadn ti\u1ec7n giao th\u00f4ng v\u00e0 g\u1ea7n c\u00e1c khu d\u00e2n c\u01b0 v\u00e0 khu v\u1ef1c kinh doanh. Vi\u1ec7c c\u00f3 m\u1ed9t v\u1ecb tr\u00ed t\u1ed1t cho tr\u1ee5 s\u1edf ch\u00ednh gi\u00fap c\u00f4ng ty d\u1ec5 d\u00e0ng ti\u1ebfp c\u1eadn kh\u00e1ch h\u00e0ng v\u00e0 \u0111\u1ed1i t\u00e1c kinh doanh.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"2_Thua_so_la_gi\"><\/span>2. Th\u1eeba s\u1ed1 l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Th\u1eeba s\u1ed1 l\u00e0 m\u1ed9t s\u1ed1 nguy\u00ean d\u01b0\u01a1ng c\u00f3 th\u1ec3 nh\u00e2n v\u1edbi m\u1ed9t s\u1ed1 kh\u00e1c \u0111\u1ec3 t\u1ea1o th\u00e0nh m\u1ed9t s\u1ed1 kh\u00e1c. Trong ph\u00e9p nh\u00e2n, th\u1eeba s\u1ed1 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 c\u00e1c th\u00e0nh ph\u1ea7n c\u1ee7a ph\u00e9p nh\u00e2n v\u00e0 c\u00f3 vai tr\u00f2 quan tr\u1ecdng trong vi\u1ec7c x\u00e1c \u0111\u1ecbnh k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Vi_du_ve_thua_so\"><\/span>V\u00ed d\u1ee5 v\u1ec1 th\u1eeba s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Gi\u1ea3 s\u1eed ch\u00fang ta c\u00f3 ph\u00e9p nh\u00e2n 5 x 4 = 20. Trong v\u00ed d\u1ee5 n\u00e0y, s\u1ed1 5 v\u00e0 4 l\u00e0 hai th\u1eeba s\u1ed1 c\u1ee7a ph\u00e9p nh\u00e2n. Ch\u00fang ta c\u00f3 th\u1ec3 n\u00f3i r\u1eb1ng &#8220;5 v\u00e0 4 l\u00e0 c\u00e1c th\u1eeba s\u1ed1 c\u1ee7a 20&#8221;. \u0110i\u1ec1u n\u00e0y ngh\u0129a l\u00e0 ch\u00fang ta c\u00f3 th\u1ec3 t\u00ecm ra k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng b\u1eb1ng c\u00e1ch nh\u00e2n hai th\u1eeba s\u1ed1 n\u00e0y l\u1ea1i v\u1edbi nhau.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Cong_dung_cua_viec_tim_thua_so\"><\/span>C\u00f4ng d\u1ee5ng c\u1ee7a vi\u1ec7c t\u00ecm th\u1eeba s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Vi\u1ec7c t\u00ecm ra c\u00e1c th\u1eeba s\u1ed1 c\u1ee7a m\u1ed9t s\u1ed1 gi\u00fap ch\u00fang ta hi\u1ec3u c\u00e1ch m\u1ed9t s\u1ed1 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh t\u1eeb nh\u1eefng y\u1ebfu t\u1ed1 kh\u00e1c nhau. \u0110i\u1ec1u n\u00e0y c\u00f3 th\u1ec3 h\u1eefu \u00edch trong vi\u1ec7c gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n, t\u00ecm ra c\u00e1c m\u1ed1i quan h\u1ec7 v\u00e0 \u00e1p d\u1ee5ng trong l\u0129nh v\u1ef1c kh\u00e1c nhau c\u1ee7a to\u00e1n h\u1ecdc. Ngo\u00e0i ra, vi\u1ec7c t\u00ecm th\u1eeba s\u1ed1 c\u0169ng c\u00f3 th\u1ec3 gi\u00fap ch\u00fang ta \u0111\u01a1n gi\u1ea3n h\u00f3a c\u00e1c ph\u00e9p t\u00ednh v\u00e0 t\u00ecm ra c\u00e1c m\u1eabu l\u1eb7p l\u1ea1i trong c\u00e1c d\u00e3y s\u1ed1.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"3_Cach_phan_tich_mot_so_thanh_cac_thua_so\"><\/span>3. C\u00e1ch ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><img decoding=\"async\" alt=\"3. C\u00e1ch ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1\" src=\"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-content\/uploads\/2023\/09\/tim_hieu_ve_thua_so_va_cach_phan_tich_mot_so_thanh_cac_thua_so.jpg\" style=\"text-align: center; clear: both; display: block; margin: 0 auto;\" title=\"3. C\u00e1ch ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1\"\/><\/p>\n<p>C\u00f3 nhi\u1ec1u c\u00e1ch \u0111\u1ec3 ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1, bao g\u1ed3m s\u1eed d\u1ee5ng ph\u00e9p chia, ki\u1ec3m tra c\u00e1c \u01b0\u1edbc c\u1ee7a s\u1ed1 \u0111\u00f3 v\u00e0 s\u1eed d\u1ee5ng c\u00e1c quy t\u1eafc \u0111\u1eb7c bi\u1ec7t. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 ph\u01b0\u01a1ng ph\u00e1p th\u00f4ng th\u01b0\u1eddng \u0111\u1ec3 ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1:<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Phuong_phap_phan_tich_theo_uoc_chung_nho_nhat\"><\/span>Ph\u01b0\u01a1ng ph\u00e1p ph\u00e2n t\u00edch theo \u01b0\u1edbc chung nh\u1ecf nh\u1ea5t<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>B\u01b0\u1edbc 1: T\u00ecm \u01b0\u1edbc chung nh\u1ecf nh\u1ea5t c\u1ee7a s\u1ed1 \u0111\u00f3.<\/li>\n<li>B\u01b0\u1edbc 2: Chia s\u1ed1 ban \u0111\u1ea7u cho \u01b0\u1edbc chung nh\u1ecf nh\u1ea5t t\u00ecm \u0111\u01b0\u1ee3c v\u00e0 ghi l\u1ea1i k\u1ebft qu\u1ea3.<\/li>\n<li>B\u01b0\u1edbc 3: Ti\u1ebfp t\u1ee5c qu\u00e1 tr\u00ecnh tr\u00ean cho \u0111\u1ebfn khi kh\u00f4ng c\u00f2n th\u1ec3 n\u00e0o ti\u1ebfp t\u1ee5c \u0111\u01b0\u1ee3c n\u1eefa.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Phuong_phap_su_dung_cong_thuc_hoac_thuat_toan\"><\/span>Ph\u01b0\u01a1ng ph\u00e1p s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c ho\u1eb7c thu\u1eadt to\u00e1n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>B\u01b0\u1edbc 1: \u00c1p d\u1ee5ng c\u00e1c c\u00f4ng th\u1ee9c ho\u1eb7c thu\u1eadt to\u00e1n ph\u00e2n t\u00edch s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1.<\/li>\n<li>B\u01b0\u1edbc 2: Th\u1ef1c hi\u1ec7n c\u00e1c b\u01b0\u1edbc c\u1ee7a c\u00f4ng th\u1ee9c ho\u1eb7c thu\u1eadt to\u00e1n cho \u0111\u1ebfn khi kh\u00f4ng c\u00f2n th\u1ec3 n\u00e0o ti\u1ebfp t\u1ee5c \u0111\u01b0\u1ee3c n\u1eefa.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Phuong_phap_su_dung_quy_tac_dac_biet\"><\/span>Ph\u01b0\u01a1ng ph\u00e1p s\u1eed d\u1ee5ng quy t\u1eafc \u0111\u1eb7c bi\u1ec7t<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>B\u01b0\u1edbc 1: S\u1eed d\u1ee5ng c\u00e1c quy t\u1eafc \u0111\u1eb7c bi\u1ec7t nh\u01b0 quy t\u1eafc ph\u00e2n t\u00edch nguy\u00ean t\u1ed1 \u0111\u1ec3 t\u00ecm ra c\u00e1c th\u1eeba s\u1ed1.<\/li>\n<li>B\u01b0\u1edbc 2: \u00c1p d\u1ee5ng c\u00e1c quy t\u1eafc v\u00e0 ti\u1ebfp t\u1ee5c qu\u00e1 tr\u00ecnh cho \u0111\u1ebfn khi kh\u00f4ng c\u00f2n th\u1ec3 n\u00e0o ti\u1ebfp t\u1ee5c \u0111\u01b0\u1ee3c n\u1eefa.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"4_Loi_khuyen_khi_phan_tich_so_ra_thua_so\"><\/span>4. L\u1eddi khuy\u00ean khi ph\u00e2n t\u00edch s\u1ed1 ra th\u1eeba s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Khi ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 ra th\u1eeba s\u1ed1, h\u00e3y b\u1eaft \u0111\u1ea7u t\u1eeb nh\u1eefng th\u1eeba s\u1ed1 nh\u1ecf nh\u1ea5t v\u00e0 ti\u1ebfp t\u1ee5c cho \u0111\u1ebfn khi kh\u00f4ng c\u00f2n th\u1ec3 n\u00e0o ph\u00e2n t\u00edch \u0111\u01b0\u1ee3c n\u1eefa. \u0110\u1ed3ng th\u1eddi, h\u00e3y ki\u1ec3m tra k\u1ebft qu\u1ea3 b\u1eb1ng c\u00e1ch nh\u00e2n l\u1ea1i c\u00e1c th\u1eeba s\u1ed1 \u0111\u00e3 t\u00ecm \u0111\u01b0\u1ee3c \u0111\u1ec3 x\u00e1c minh. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 l\u1eddi khuy\u00ean khi ph\u00e2n t\u00edch s\u1ed1 ra th\u1eeba s\u1ed1:<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Bat_dau_tu_nhung_thua_so_nho_nhat\"><\/span>B\u1eaft \u0111\u1ea7u t\u1eeb nh\u1eefng th\u1eeba s\u1ed1 nh\u1ecf nh\u1ea5t<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0110\u1ec3 t\u00ecm ra c\u00e1c th\u1eeba s\u1ed1 c\u1ee7a m\u1ed9t s\u1ed1, h\u00e3y b\u1eaft \u0111\u1ea7u t\u1eeb nh\u1eefng th\u1eeba s\u1ed1 nh\u1ecf nh\u1ea5t. \u0110i\u1ec1u n\u00e0y gi\u00fap ch\u00fang ta t\u00ecm ra c\u00e1c y\u1ebfu t\u1ed1 c\u01a1 b\u1ea3n v\u00e0 d\u1ec5 d\u00e0ng x\u00e1c \u0111\u1ecbnh c\u00e1c th\u1eeba s\u1ed1 l\u1edbn h\u01a1n.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Kiem_tra_ket_qua\"><\/span>Ki\u1ec3m tra k\u1ebft qu\u1ea3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Sau khi ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1, h\u00e3y ki\u1ec3m tra k\u1ebft qu\u1ea3 b\u1eb1ng c\u00e1ch nh\u00e2n l\u1ea1i c\u00e1c th\u1eeba s\u1ed1 \u0111\u00e3 t\u00ecm \u0111\u01b0\u1ee3c. N\u1ebfu k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng kh\u1edbp v\u1edbi s\u1ed1 ban \u0111\u1ea7u, \u0111i\u1ec1u n\u00e0y c\u00f3 ngh\u0129a l\u00e0 ch\u00fang ta \u0111\u00e3 t\u00ecm ra \u0111\u00fang c\u00e1c th\u1eeba s\u1ed1 c\u1ee7a s\u1ed1 \u0111\u00f3.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"5_Y_nghia_cua_thua_so_trong_phep_tinh\"><\/span>5. \u00dd ngh\u0129a c\u1ee7a th\u1eeba s\u1ed1 trong ph\u00e9p t\u00ednh<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>C\u00e1c th\u1eeba s\u1ed1 trong ph\u00e9p t\u00ednh gi\u00fap ch\u00fang ta hi\u1ec3u c\u00e1ch m\u1ed9t s\u1ed1 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh t\u1eeb nh\u1eefng nh\u00e2n t\u1eed kh\u00e1c nhau. \u0110i\u1ec1u n\u00e0y c\u00f3 th\u1ec3 h\u1eefu \u00edch trong vi\u1ec7c gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n, t\u00ecm ra c\u00e1c m\u1ed1i quan h\u1ec7 v\u00e0 \u1ee9ng d\u1ee5ng trong l\u0129nh v\u1ef1c kh\u00e1c nhau c\u1ee7a to\u00e1n h\u1ecdc. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 \u00fd ngh\u0129a c\u1ee7a th\u1eeba s\u1ed1 trong ph\u00e9p t\u00ednh:<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Tim_ra_moi_quan_he_giua_cac_so\"><\/span>T\u00ecm ra m\u1ed1i quan h\u1ec7 gi\u1eefa c\u00e1c s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Vi\u1ec7c ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1 gi\u00fap ch\u00fang ta t\u00ecm ra m\u1ed1i quan h\u1ec7 gi\u1eefa c\u00e1c y\u1ebfu t\u1ed1 c\u1ee7a s\u1ed1 \u0111\u00f3. \u0110i\u1ec1u n\u00e0y c\u00f3 th\u1ec3 gi\u00fap ch\u00fang ta hi\u1ec3u \u0111\u01b0\u1ee3c c\u1ea5u tr\u00fac v\u00e0 s\u1ef1 ph\u1ee5 thu\u1ed9c gi\u1eefa c\u00e1c y\u1ebfu t\u1ed1, t\u1eeb \u0111\u00f3 \u00e1p d\u1ee5ng v\u00e0o vi\u1ec7c gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n kh\u00e1c nhau.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Don_gian_hoa_phep_tinh\"><\/span>\u0110\u01a1n gi\u1ea3n h\u00f3a ph\u00e9p t\u00ednh<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>B\u1eb1ng c\u00e1ch ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1, ch\u00fang ta c\u00f3 th\u1ec3 \u0111\u01a1n gi\u1ea3n h\u00f3a ph\u00e9p t\u00ednh v\u00e0 t\u00ecm ra c\u00e1ch bi\u1ec3u di\u1ec5n m\u1ed9t s\u1ed1 d\u01b0\u1edbi d\u1ea1ng nh\u00e2n t\u1eed. \u0110i\u1ec1u n\u00e0y c\u00f3 th\u1ec3 r\u1ea5t h\u1eefu \u00edch trong vi\u1ec7c t\u00ednh to\u00e1n v\u00e0 x\u1eed l\u00fd c\u00e1c con s\u1ed1 l\u1edbn.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"6_Cach_phan_tich_cac_so_lon_thanh_thua_so\"><\/span>6. C\u00e1ch ph\u00e2n t\u00edch c\u00e1c s\u1ed1 l\u1edbn th\u00e0nh th\u1eeba s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Khi ph\u00e2n t\u00edch c\u00e1c s\u1ed1 l\u1edbn th\u00e0nh th\u1eeba s\u1ed1, ta c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng c\u00e1c ph\u01b0\u01a1ng ph\u00e1p nh\u01b0 ph\u00e2n t\u00edch nguy\u00ean t\u1ed1, s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c ho\u1eb7c thu\u1eadt to\u00e1n \u0111\u1eb7c bi\u1ec7t \u0111\u1ec3 t\u00ecm ra c\u00e1c th\u1eeba s\u1ed1. \u0110\u00f4i khi, vi\u1ec7c n\u00e0y c\u00f3 th\u1ec3 y\u00eau c\u1ea7u s\u1ef1 k\u1ef9 n\u0103ng v\u00e0 ki\u1ebfn th\u1ee9c chuy\u00ean s\u00e2u v\u1ec1 to\u00e1n h\u1ecdc. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 c\u00e1ch ph\u00e2n t\u00edch c\u00e1c s\u1ed1 l\u1edbn th\u00e0nh th\u1eeba s\u1ed1:<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Phan_tich_nguyen_to\"><\/span>Ph\u00e2n t\u00edch nguy\u00ean t\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Ph\u01b0\u01a1ng ph\u00e1p ph\u00e2n t\u00edch nguy\u00ean t\u1ed1 l\u00e0 m\u1ed9t trong nh\u1eefng c\u00e1ch th\u00f4ng d\u1ee5ng \u0111\u1ec3 ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 l\u1edbn th\u00e0nh c\u00e1c th\u1eeba s\u1ed1. \u0110\u1ea7u ti\u00ean, ta x\u00e1c \u0111\u1ecbnh c\u00e1c y\u1ebfu t\u1ed1 nguy\u00ean t\u1ed1 c\u1ee7a s\u1ed1 \u0111\u00f3 b\u1eb1ng c\u00e1ch chia n\u00f3 cho c\u00e1c s\u1ed1 nguy\u00ean t\u1ed1 t\u1eeb 2 tr\u1edf \u0111i. Sau \u0111\u00f3, ta ti\u1ebfp t\u1ee5c chia c\u00e1c y\u1ebfu t\u1ed1 \u0111\u00e3 t\u00ecm \u0111\u01b0\u1ee3c cho c\u00e1c s\u1ed1 nguy\u00ean t\u1ed1 kh\u00e1c cho \u0111\u1ebfn khi kh\u00f4ng c\u00f2n th\u1ec3 n\u00e0o ti\u1ebfp t\u1ee5c \u0111\u01b0\u1ee3c n\u1eefa.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Su_dung_cong_thuc_hoac_thuat_toan_dac_biet\"><\/span>S\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c ho\u1eb7c thu\u1eadt to\u00e1n \u0111\u1eb7c bi\u1ec7t<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0110\u1ed1i v\u1edbi nh\u1eefng s\u1ed1 l\u1edbn v\u00e0 ph\u1ee9c t\u1ea1p, c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c ho\u1eb7c thu\u1eadt to\u00e1n \u0111\u1eb7c bi\u1ec7t \u0111\u1ec3 ph\u00e2n t\u00edch th\u00e0nh c\u00e1c th\u1eeba s\u1ed1. C\u00e1c c\u00f4ng th\u1ee9c v\u00e0 thu\u1eadt to\u00e1n n\u00e0y \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf \u0111\u1ec3 gi\u00fap ta hi\u1ec7u qu\u1ea3 v\u00e0 ch\u00ednh x\u00e1c trong vi\u1ec7c ph\u00e2n t\u00edch c\u00e1c s\u1ed1 l\u1edbn th\u00e0nh c\u00e1c th\u1eeba s\u1ed1.<\/p>\n<p>Th\u1eeba s\u1ed1 l\u00e0 m\u1ed9t s\u1ed1 nguy\u00ean d\u01b0\u01a1ng c\u00f3 kh\u1ea3 n\u0103ng chia h\u1ebft cho m\u1ed9t s\u1ed1 nguy\u00ean d\u01b0\u01a1ng kh\u00e1c m\u00e0 kh\u00f4ng \u0111\u1ec3 l\u1ea1i ph\u1ea7n d\u01b0. Ch\u00fang \u0111\u00f3ng vai tr\u00f2 quan tr\u1ecdng trong to\u00e1n h\u1ecdc v\u00e0 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i trong c\u00e1c b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn \u01b0\u1edbc chung l\u1edbn nh\u1ea5t, b\u1ed9i chung nh\u1ecf nh\u1ea5t v\u00e0 ph\u00e2n t\u00edch c\u00e1c s\u1ed1 nguy\u00ean th\u00e0nh th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1. Hi\u1ec3u r\u00f5 v\u1ec1 kh\u00e1i ni\u1ec7m n\u00e0y s\u1ebd gi\u00fap ta \u00e1p d\u1ee5ng v\u00e0o vi\u1ec7c gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p h\u01a1n.<br \/>\n<iframe loading=\"lazy\" title=\"To\u00e1n 2 \u2013 Ch\u01b0\u01a1ng 5 \u2013 B\u00e0i 3: Th\u1eeba s\u1ed1 - T\u00edch - C\u00f4 B\u00f9i Th\u1ecb Thanh H\u00e0\" width=\"790\" height=\"444\" src=\"https:\/\/www.youtube.com\/embed\/dmqXP8z2J4Y?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&#8220;Th\u1eeba s\u1ed1 l\u00e0 kh\u00e1i ni\u1ec7m to\u00e1n h\u1ecdc quan tr\u1ecdng, ch\u1ec9 \u0111\u01a1n gi\u1ea3n l\u00e0 s\u1ed1 d\u01b0 sau khi chia m\u1ed9t s\u1ed1 cho m\u1ed9t s\u1ed1 kh\u00e1c. Hi\u1ec3u v\u1ec1 th\u1eeba&#8230; <\/p>\n","protected":false},"author":1,"featured_media":30612,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29],"tags":[],"class_list":["post-30613","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-khai-niem-1"],"_links":{"self":[{"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/posts\/30613","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/comments?post=30613"}],"version-history":[{"count":0,"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/posts\/30613\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/media\/30612"}],"wp:attachment":[{"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/media?parent=30613"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/categories?post=30613"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/tags?post=30613"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}