{"id":2414,"date":"2023-12-18T15:17:35","date_gmt":"2023-12-18T14:17:35","guid":{"rendered":"https:\/\/eva.louis-le-grand.net\/maths\/?p=2414"},"modified":"2024-07-21T10:46:43","modified_gmt":"2024-07-21T08:46:43","slug":"complex-map-conformal-map","status":"publish","type":"post","link":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/2023\/12\/18\/complex-map-conformal-map\/","title":{"rendered":"Une Flamenkuch complexe"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Soit la transformation du plan complexe <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-cb53a53a0afe2fd7fb22ae03ff94fa39_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#122;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"53\" style=\"vertical-align: 0px;\"\/><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-cb53a53a0afe2fd7fb22ae03ff94fa39_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#122;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"53\" style=\"vertical-align: 0px;\"\/>\n\n<p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-aca95d258fe51f56f70bc3fa99920416_l3.png\" height=\"290\" width=\"582\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1217\" height=\"1210\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2.gif\" alt=\"\" class=\"wp-image-2701\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Voici la Flamenkuch \u00e9quivalente:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2-1024x1024.png\" alt=\"\" class=\"wp-image-2703\" style=\"width:650px;height:auto\" srcset=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2-1024x1024.png 1024w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2-300x300.png 300w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2-150x150.png 150w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2-768x768.png 768w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2-1536x1536.png 1536w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2-2048x2048.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">A pr\u00e9sent, voici d&rsquo;autres transformations, \u00e0 associer aux autres Flamenkuch:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-adf53a0b5747b689ecdf36a27886c030_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#49;&#47;&#122;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"64\" style=\"vertical-align: -5px;\"\/> , <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-cb53a53a0afe2fd7fb22ae03ff94fa39_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#122;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"53\" style=\"vertical-align: 0px;\"\/>., <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-9f1d4180e6af8c48b74f7068e8ab730e_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#49;&#47;&#122;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"71\" style=\"vertical-align: -5px;\"\/> , <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-96d9134e9d62b322db459bd8933fe6a0_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#92;&#115;&#113;&#114;&#116;&#123;&#120;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"63\" style=\"vertical-align: -4px;\"\/> , <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-f552a692172ceb094e7f88f27b205acf_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#101;&#94;&#122;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" style=\"vertical-align: 0px;\"\/> , <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-cf505c638f3efa08a96b940259acd5e6_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#92;&#115;&#113;&#114;&#116;&#123;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#122;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"66\" style=\"vertical-align: -10px;\"\/>  &#8230;<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-930d3512 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z^-2-1024x1024.png\" alt=\"\" class=\"wp-image-2705\" style=\"width:321px;height:auto\" srcset=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z^-2-1024x1024.png 1024w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z^-2-300x300.png 300w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z^-2-150x150.png 150w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z^-2-768x768.png 768w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z^-2-1536x1536.png 1536w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z^-2-2048x2048.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z^-1-1024x1024.png\" alt=\"\" class=\"wp-image-2706\" srcset=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z^-1-1024x1024.png 1024w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z^-1-300x300.png 300w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z^-1-150x150.png 150w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z^-1-768x768.png 768w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z^-1-1536x1536.png 1536w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z^-1-2048x2048.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/sqrtz-1024x1024.jpg\" alt=\"\" class=\"wp-image-2715\" srcset=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/sqrtz-1024x1024.jpg 1024w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/sqrtz-300x300.jpg 300w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/sqrtz-150x150.jpg 150w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/sqrtz-768x768.jpg 768w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/sqrtz-1536x1536.jpg 1536w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/sqrtz-2048x2048.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/e^z-1024x1024.png\" alt=\"\" class=\"wp-image-2704\" srcset=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/e^z-1024x1024.png 1024w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/e^z-300x300.png 300w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/e^z-150x150.png 150w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/e^z-768x768.png 768w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/e^z-1536x1536.png 1536w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/e^z-2048x2048.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/sqrtz^-1-1024x1024.png\" alt=\"\" class=\"wp-image-2714\" srcset=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/sqrtz^-1-1024x1024.png 1024w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/sqrtz^-1-300x300.png 300w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/sqrtz^-1-150x150.png 150w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/sqrtz^-1-768x768.png 768w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/sqrtz^-1-1536x1536.png 1536w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/sqrtz^-1-2048x2048.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2-1-1024x1024.png\" alt=\"\" class=\"wp-image-2716\" srcset=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2-1-1024x1024.png 1024w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2-1-300x300.png 300w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2-1-150x150.png 150w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2-1-768x768.png 768w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2-1-1536x1536.png 1536w, https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/12\/z2-1-2048x2048.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">Voici les r\u00e9ponses:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-6b2b10ede4a580294f8f2b62dd31ced9_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#92;&#115;&#113;&#114;&#116;&#123;&#122;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"62\" style=\"vertical-align: -4px;\"\/>\n<p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-2dffeba04cfddcab708e1e7c6625205e_l3.png\" height=\"279\" width=\"624\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-adf53a0b5747b689ecdf36a27886c030_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#49;&#47;&#122;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"64\" style=\"vertical-align: -5px;\"\/>\n<p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-4c3362ebdf74b5d677d6e8e4effa7822_l3.png\" height=\"231\" width=\"569\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-9f1d4180e6af8c48b74f7068e8ab730e_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#49;&#47;&#122;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"71\" style=\"vertical-align: -5px;\"\/>\n<p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-916f5a2742b1dc3bfefed690980531ea_l3.png\" height=\"282\" width=\"649\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-f552a692172ceb094e7f88f27b205acf_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#101;&#94;&#122;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" style=\"vertical-align: 0px;\"\/>\n\n<p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-a39d5ffc75f2cba7de640d663fe98d81_l3.png\" height=\"282\" width=\"626\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">Enfin voici d&rsquo;autres transformations:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-d6134b99869677e184c4a41818757da0_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#122;&#94;&#50;&#43;&#122;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"84\" style=\"vertical-align: -2px;\"\/>\n\n<p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-9bcec92ef15ce2a2cdf12c4f71bca91f_l3.png\" height=\"301\" width=\"588\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-7018a77001460eb9d3b0f0cd264e672a_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#122;&#43;&#49;&#47;&#122;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"94\" style=\"vertical-align: -5px;\"\/>\n<p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-24b74db3fe00a62545bcd0a8b9edc859_l3.png\" height=\"305\" width=\"605\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-42e703a5b627a489cca6872d709f1637_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#122;&#94;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"53\" style=\"vertical-align: 0px;\"\/>\n\n<p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-ac5d1ab7c799dfc6a5099ebe643a47b4_l3.png\" height=\"231\" width=\"574\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">et<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-128720a421a2b24f10f9b28cdfc637a7_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#119;&#61;&#122;&#94;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"53\" style=\"vertical-align: 0px;\"\/>\n\n<p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/ql-cache\/quicklatex.com-80496ba0043a8b55008891ef9bf55c31_l3.png\" height=\"581\" width=\"763\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Mot cl\u00e9 en anglais: \u00ab\u00a0<em>Conformal map<\/em>\u00ab\u00a0: comforme signifie ici qui conserve les angles. ce qui est le cas pour ces transformations sauf en quelques points particuliers.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Cette conservation d&rsquo;angle est importante pour les application en cartographie, car on aime bien conserver les cap (30\u00b0Nord parexemple) quand on suit une trajectoire.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Comme les angles droits sont conserv\u00e9s, on a aussi des applications pour repr\u00e9senter des champs de potentiels et courbes \u00e9quipotentielles.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div style='border: 2px solid #AAAA88; background: #FFFFDD; padding:8px;' ><img decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/10\/qui.png\" alt=\"\" class=\"wp-image-1120\" width=30 \/> <b>Pour aller plus loin<\/b><br><iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/2A-2Tv-eJA4?si=kvg6HLhWLP76rI8C\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div>\n\n\n\n<div style='border: 2px solid #88AA88; background: #DDFFDD; padding:8px;' ><img decoding=\"async\" src=\"https:\/\/eva.louis-le-grand.net\/maths\/wp-content\/uploads\/2023\/10\/qui.png\" alt=\"\" class=\"wp-image-1120\" width=30 \/> <b>Inspiration<\/b><br><table><tr><td><a href='http:\/\/www.lmm.jussieu.fr\/~audoly\/' target=\"newnew\" rel=\"noopener\">Victoria \u00ab\u00a0Vi\u00a0\u00bb Hart<\/a><br>\n<iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/XwIs1nlDQ2I?si=mZD-y8ta9dvqESGc\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Transformations du plan complexe en quizz<\/p>\n","protected":false},"author":1,"featured_media":2708,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2414","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-non-classe"],"_links":{"self":[{"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/posts\/2414","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/comments?post=2414"}],"version-history":[{"count":106,"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/posts\/2414\/revisions"}],"predecessor-version":[{"id":4322,"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/posts\/2414\/revisions\/4322"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/media\/2708"}],"wp:attachment":[{"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/media?parent=2414"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/categories?post=2414"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eva.louis-le-grand.net\/maths\/index.php\/wp-json\/wp\/v2\/tags?post=2414"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}