{"id":7710,"date":"2021-11-20T14:21:09","date_gmt":"2021-11-20T07:21:09","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=7710"},"modified":"2021-11-20T17:13:29","modified_gmt":"2021-11-20T10:13:29","slug":"vi-sao-dung-phuong-phap-thay-the-dan-ta-lai-nhan-duoc-cac-hinh-ve-co-hoa-tiet-dep","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/vi-sao-dung-phuong-phap-thay-the-dan-ta-lai-nhan-duoc-cac-hinh-ve-co-hoa-tiet-dep\/","title":{"rendered":"V\u00ec sao d\u00f9ng ph\u01b0\u01a1ng ph\u00e1p thay th\u1ebf d\u1ea7n ta l\u1ea1i nh\u1eadn \u0111\u01b0\u1ee3c c\u00e1c h\u00ecnh v\u1ebd c\u00f3 ho\u1ea1 ti\u1ebft \u0111\u1eb9p?"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Tr\u01b0\u1edbc h\u1ebft ta x\u00e9t ch\u00edn h\u00ecnh v\u1ebd. B\u1ea1n th\u1ea5y c\u00f3 \u0111i\u1ec1u g\u00ec \u0111\u00e1ng n\u00f3i kh\u00f4ng? S\u1ef1 th\u1ef1c ch\u00edn h\u00ecnh v\u1ebd n\u00e0y ch\u1ec9 l\u00e0 ch\u1ee5p l\u1ea1i t\u1eeb m\u1ed9t h\u00ecnh v\u1ebd. H\u00ecnh 1 l\u00e0 b\u1ee9c to\u00e0n c\u1ea3nh. T\u1eeb h\u00ecnh 2 tr\u1edf \u0111i l\u00e0 nh\u1eefng h\u00ecnh ph\u00f3ng \u0111\u1ea1i m\u1ed9t b\u1ed9 ph\u1eadn c\u1ee7a h\u00ecnh tr\u01b0\u1edbc. H\u00ecnh 9 l\u00e0 h\u00ecnh c\u00f3 \u0111\u1ed9 ph\u00f3ng \u0111\u1ea1i \u0111\u1ebfn 300 tri\u1ec7u l\u1ea7n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sau khi xem 9 b\u1ee9c h\u00ecnh n\u00e0y, ta c\u00f3 th\u1ec3 tin r\u1eb1ng m\u1ed7i ng\u01b0\u1eddi s\u1ebd c\u00f3 c\u1ea3m nh\u1eadn ri\u00eang v\u1ec1 c\u00e1i \u0111\u1eb9p. Tr\u00ean h\u00ecnh 1 ta ch\u1ec9 th\u1ea5y m\u1ed9t \u201c\u0111\u00e1m \u0111en ng\u00f2m\u201d. Sau khi ph\u00f3ng \u0111\u1ea1i d\u1ea7n d\u1ea7n, h\u00ecnh v\u1ebd b\u1eaft \u0111\u1ea7u xu\u1ea5t hi\u1ec7n b\u1ed9 m\u1eb7t th\u1eadt c\u1ee7a n\u00f3, d\u1ea7n d\u1ea7n m\u1edf r\u1ed9ng \u0111\u01b0\u1ee3c t\u1ea7m nh\u00ecn s\u00e2u v\u00e0o s\u1ef1 v\u1eadt. \u0110\u00f3 l\u00e0 s\u1ef1 xu\u1ea5t hi\u1ec7n d\u1ea7n c\u00e1c n\u00e9t tinh x\u1ea3o ngo\u00e0i \u00fd ngh\u0129 c\u1ee7a ng\u01b0\u1eddi ta.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Th\u1ebf c\u00f3 ph\u1ea3i h\u00ecnh v\u1ebd n\u00e0y do m\u1ed9t danh ho\u1ea1 n\u00e0o \u0111\u00f3 v\u1ebd ra. N\u00f3i ra c\u00e1c b\u1ea1n l\u1ea1i kh\u00f4ng tin. H\u00ecnh v\u1ebd do m\u1ed9t nh\u00e0 to\u00e1n h\u1ecdc l\u00e0 Benoit Mandelbrot d\u00f9ng ph\u01b0\u01a1ng ph\u00e1p thay th\u1ebf d\u1ea7n v\u00e0 <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">thi\u1ebft k\u1ebf<\/a> tr\u00ean m\u00e1y t\u00ednh. Trong to\u00e1n h\u1ecdc ng\u01b0\u1eddi ta g\u1ecdi \u0111\u00f3 l\u00e0 t\u1eadp Mandelbrot, tr\u00ean th\u1ef1c t\u1ebf c\u00f3 c\u1ea5u tr\u00fac kh\u00e1 \u0111\u01a1n gi\u1ea3n. T\u01b0 t\u01b0\u1edfng ch\u1ee7 y\u1ebfu c\u1ee7a t\u1eadp n\u00e0y l\u00e0 thay th\u1ebf d\u1ea7n. Kh\u00e1c v\u1edbi ph\u01b0\u01a1ng ph\u00e1p thay th\u1ebf tr\u01b0\u1edbc, \u1edf \u0111\u00e2y d\u00f9ng ph\u01b0\u01a1ng ph\u00e1p thay th\u1ebf \u0111i\u1ec3m.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ta x\u00e9t \u0111i\u1ec3m A (to\u1ea1 \u0111\u1ed9 c, d). \u0110i\u1ec3m ban \u0111\u1ea7u c\u00f3 to\u1ea1 \u0111\u1ed9 s\u1ed1 (an, bn), ta ti\u1ebfn h\u00e0nh qu\u00e1 tr\u00ecnh thay th\u1ebf \u0111\u1ec3 nh\u1eadn \u0111\u01b0\u1ee3c \u0111i\u1ec3m (an+1, bn+1). C\u00f4ng th\u1ee9c thay th\u1ebf s\u1ebd l\u00e0 h\u1ec7 hai ph\u01b0\u01a1ng tr\u00ecnh hai \u1ea9n:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Qua vi\u1ec7c thay th\u1ebf ta s\u1ebd \u0111\u01b0\u1ee3c m\u1ed9t h\u1ec7 c\u00e1c \u0111i\u1ec3m c\u00f3 \u0111\u01b0\u1eddng bi\u00ean, qua c\u00e1ch thay th\u1ebf s\u1ebd chuy\u1ec3n \u0111i\u1ec3m A (c, d) ban \u0111\u1ea7u th\u00e0nh \u0111i\u1ec3m A c\u00f3 m\u00e0u tr\u1eafng. B\u1eb1ng c\u00e1ch \u0111\u00f3 c\u00f3 th\u1ec3 chuy\u1ec3n \u0111\u1ed5i b\u1ea5t k\u00ec \u0111i\u1ec3m n\u00e0o tr\u00ean h\u00ecnh ph\u1eb3ng th\u00e0nh c\u00e1c \u0111i\u1ec3m t\u01b0\u01a1ng \u1ee9ng. D\u1ef1a v\u00e0o ph\u01b0\u01a1ng ph\u00e1p mi\u00eau t\u1ea3 ta c\u00f3 th\u1ec3 v\u1ebd ra nhi\u1ec1u h\u00ecnh v\u1ebd phong ph\u00fa v\u00e0 t\u1ea1o \u0111\u01b0\u1ee3c c\u00e1c h\u00ecnh v\u1ebd c\u00f3 ho\u1ea1 ti\u1ebft \u0111\u1eb9p \u0111\u1ebd.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nh\u01b0 v\u1eady t\u1eeb ng\u00e0nh to\u00e1n h\u1ecdc nghi\u00eam t\u00fac l\u1ea1i t\u1ea1o ra c\u00e1c c\u1ea3m h\u1ee9ng \u0111\u1ea7y t\u00ednh ngh\u1ec7 thu\u1eadt. Vi\u1ec7c c\u1ea3m nh\u1eadn v\u1ebd \u0111\u1eb9p c\u00e1c t\u1eadp Mandelbrot l\u00e0m ch\u00fang ta nh\u1eadn r\u00f5 \u0111\u01b0\u1ee3c ma l\u1ef1c phi ph\u00e0m c\u1ee7a to\u00e1n h\u1ecdc.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u1eeb kho\u00e1: Ph\u01b0\u01a1ng ph\u00e1p thay th\u1ebf; T\u1eadp Mandelbrot.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>Tr\u01b0\u1edbc h\u1ebft ta x\u00e9t ch\u00edn h\u00ecnh v\u1ebd. B\u1ea1n th\u1ea5y c\u00f3 \u0111i\u1ec1u g\u00ec \u0111\u00e1ng n\u00f3i kh\u00f4ng? S\u1ef1 th\u1ef1c ch\u00edn h\u00ecnh v\u1ebd n\u00e0y ch\u1ec9 l\u00e0 ch\u1ee5p l\u1ea1i t\u1eeb m\u1ed9t h\u00ecnh v\u1ebd. H\u00ecnh 1 l\u00e0 b\u1ee9c to\u00e0n c\u1ea3nh. T\u1eeb h\u00ecnh 2 tr\u1edf \u0111i l\u00e0 nh\u1eefng h\u00ecnh ph\u00f3ng \u0111\u1ea1i m\u1ed9t b\u1ed9 ph\u1eadn c\u1ee7a h\u00ecnh tr\u01b0\u1edbc. H\u00ecnh 9 l\u00e0 h\u00ecnh [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[15,9],"tags":[],"class_list":["post-7710","post","type-post","status-publish","format-standard","hentry","category-hoi-dap-khoa-hoc","category-toan-hoc"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/7710","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=7710"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/7710\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=7710"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=7710"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=7710"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}