{"id":9981,"date":"2024-08-08T11:30:17","date_gmt":"2024-08-08T09:30:17","guid":{"rendered":"https:\/\/www.mathweb.fr\/euclide\/?p=9981"},"modified":"2024-08-08T11:53:28","modified_gmt":"2024-08-08T09:53:28","slug":"du-latex-dans-les-resultats-python-sous-jupyter","status":"publish","type":"post","link":"https:\/\/www.mathweb.fr\/euclide\/2024\/08\/08\/du-latex-dans-les-resultats-python-sous-jupyter\/","title":{"rendered":"Du LaTeX dans les r\u00e9sultats Python sous Jupyter"},"content":{"rendered":"\n<p class=\"is-style-Paragraph-paragraph wp-block-paragraph\">Sous Jupyter, par exemple, comment afficher en LaTeX des fonctions Python? Il existe un module pour faire cela\u2026<\/p>\n\n\n\n<!--more-->\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_84 counter-hierarchy ez-toc-counter ez-toc-white ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Au menu sur cette page...<\/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\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><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><\/span><\/span><\/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:\/\/www.mathweb.fr\/euclide\/2024\/08\/08\/du-latex-dans-les-resultats-python-sous-jupyter\/#LaTeX_Python_Jupyter_installation_du_module_latexify\" >LaTeX, Python, Jupyter: installation du module latexify<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.mathweb.fr\/euclide\/2024\/08\/08\/du-latex-dans-les-resultats-python-sous-jupyter\/#LaTeX_Python_Jupyter_quelques_exemples\" >LaTeX, Python, Jupyter: quelques exemples<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.mathweb.fr\/euclide\/2024\/08\/08\/du-latex-dans-les-resultats-python-sous-jupyter\/#Exemple_1_fonction_definie_par_morceaux\" >Exemple 1: fonction d\u00e9finie par morceaux<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.mathweb.fr\/euclide\/2024\/08\/08\/du-latex-dans-les-resultats-python-sous-jupyter\/#Exemple_2_la_factorielle\" >Exemple 2: la factorielle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.mathweb.fr\/euclide\/2024\/08\/08\/du-latex-dans-les-resultats-python-sous-jupyter\/#Exemple_3_une_fonction_Python_retournant_une_expression_mathematique\" >Exemple 3: une fonction Python retournant une expression math\u00e9matique<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"LaTeX_Python_Jupyter_installation_du_module_latexify\"><\/span>LaTeX, Python, Jupyter: installation du module latexify<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>pip install latexify-py\nou (selon votre distribution)\nconda install latexify-py<\/code><\/pre>\n\n\n\n<p class=\"is-style-Paragraph-paragraph wp-block-paragraph\">Vous trouverez plus d&#8217;informations sur le module latexify ici : <a href=\"https:\/\/pypi.org\/project\/latexify-py\/\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/pypi.org\/project\/latexify-py\/<\/a><\/p>\n\n\n\n<p class=\"is-style-Paragraph-paragraph wp-block-paragraph\">Enfin&#8230; c&#8217;est un bien grand mot car toutes les docs r\u00e9dig\u00e9es en anglais sont totalement merdiques et non exhaustives! Donc l\u00e0, en ne mettant qu&#8217;un exemple, \u00e7a signifie : &#8220;d\u00e9merde-toi bibi !&#8221;. En fait, il faut aller sur le <a href=\"https:\/\/github.com\/google\/latexify_py\/tree\/main\" target=\"_blank\" rel=\"noreferrer noopener\">github<\/a> pour avoir bien plus d&#8217;informations! <\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"LaTeX_Python_Jupyter_quelques_exemples\"><\/span>LaTeX, Python, Jupyter: quelques exemples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Exemple_1_fonction_definie_par_morceaux\"><\/span>Exemple 1: fonction d\u00e9finie par morceaux<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"is-style-Paragraph-paragraph wp-block-paragraph\">Rien ne vaut le code direct:<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\" data-enlighter-theme=\"dracula\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"false\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">import latexify\n\n@latexify.function\ndef f(x):\n    if x &lt;= -3:\n        return 3*x+1\n    elif -3 &lt; x &lt;= 3:\n        return 2*x - 2\n    else:\n        return x+1<\/pre>\n\n\n\n<p class=\"is-style-Paragraph-paragraph wp-block-paragraph\">Personnellement, j&#8217;utilise Spyder, qui s&#8217;appuie sur Jupyter. Voici une capture d&#8217;\u00e9cran:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-medium\"><a href=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2024\/08\/image.png\" data-fancybox=\"gallery\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"117\" src=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2024\/08\/image-300x117.png\" alt=\"python latex jupyter latexify\" class=\"wp-image-9982\" srcset=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2024\/08\/image-300x117.png 300w, https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2024\/08\/image.png 329w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/figure>\n<\/div>\n\n\n<p class=\"is-style-Paragraph-paragraph wp-block-paragraph\">Il suffit de taper le nom de la fonction Python pour qu&#8217;elle affiche au format \\(\\LaTeX\\) notre fonction math\u00e9matique. C&#8217;est plut\u00f4t ludique pour enseigner les tests conditionnels Python et les fonctions d\u00e9finies par morceaux en classe de Seconde par exemple.<\/p>\n\n\n\n<p class=\"is-style-Paragraph-paragraph wp-block-paragraph\">Si vous souhaitez afficher directement le code \\(\\LaTeX\\) pour le mettre dans un document TEX, vous pouvez aussi faire ceci:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>In  &#91;5]: print(f)\nOut &#91;5]: f(x) = \\left\\{ \\begin{array}{ll} 3 x + 1, &amp; \\mathrm{if} \\ x \\le -3 \\\\ 2 x - 2, &amp; \\mathrm{if} \\ -3 &lt; x \\le 3 \\\\ x + 1, &amp; \\mathrm{otherwise} \\end{array} \\right.<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Exemple_2_la_factorielle\"><\/span>Exemple 2: la factorielle<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"false\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">import latexify\n\n@latexify.function\ndef factorial(n: int) -> int:\n    if n == 0:\n        return 1\n    else:\n        return n * factorial(n-1)<\/pre>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-medium is-resized\"><a href=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2024\/08\/image-1.png\" data-fancybox=\"gallery\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"82\" src=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2024\/08\/image-1-300x82.png\" alt=\"latexify factorial\" class=\"wp-image-9983\" style=\"width:302px;height:auto\" srcset=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2024\/08\/image-1-300x82.png 300w, https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2024\/08\/image-1.png 377w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/figure>\n<\/div>\n\n\n<pre class=\"wp-block-code\"><code>In  &#91;3]: print(factorial)\nOut &#91;3]: \\mathrm{factorial}(n) = \\left\\{ \\begin{array}{ll} 1, &amp; \\mathrm{if} \\ n = 0 \\\\ n \\cdot \\mathopen{}\\left( n - 1 \\mathclose{}\\right) !, &amp; \\mathrm{otherwise} \\end{array} \\right.<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Exemple_3_une_fonction_Python_retournant_une_expression_mathematique\"><\/span>Exemple 3: une fonction Python retournant une expression math\u00e9matique<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"is-style-Paragraph-paragraph wp-block-paragraph\">Allez! On va s&#8217;amuser un peu en m\u00e9langeant les tests conditionnels, les lettres grecques et les expressions litt\u00e9rales.<\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"false\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">import latexify\nfrom math import sqrt\n\n@latexify.expression(use_math_symbols=True)\ndef solve(a, b, c):\n    Delta = b**2-4*a*c\n    if Delta &lt; 0:\n        return None\n    elif Delta == 0:\n        return -b\/(2*a)\n    else:\n        return (-b - sqrt(Delta)) \/ (2 * a) , (-b + sqrt(Delta)) \/ (2 * a) <\/pre>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-medium\"><a href=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2024\/08\/image-2.png\" data-fancybox=\"gallery\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"155\" src=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2024\/08\/image-2-300x155.png\" alt=\"latexify use_math_symbols expression\" class=\"wp-image-9984\" srcset=\"https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2024\/08\/image-2-300x155.png 300w, https:\/\/www.mathweb.fr\/euclide\/wp-content\/uploads\/2024\/08\/image-2.png 330w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/figure>\n<\/div>\n\n\n<pre class=\"wp-block-code\"><code>In  &#91;17]: print(solve)\nOut &#91;17]: \\begin{array}{l} \\Delta = b^{2} - 4 a c \\\\ \\left\\{ \\begin{array}{ll} \\mathrm{None}, &amp; \\mathrm{if} \\ \\Delta &lt; 0 \\\\ \\frac{-b}{2 a}, &amp; \\mathrm{if} \\ \\Delta = 0 \\\\ \\mathopen{}\\left( \\frac{-b - \\sqrt{ \\Delta }}{2 a}, \\frac{-b + \\sqrt{ \\Delta }}{2 a} \\mathclose{}\\right), &amp; \\mathrm{otherwise} \\end{array} \\right. \\end{array}<\/code><\/pre>\n\n\n\n<p class=\"is-style-Paragraph-paragraph wp-block-paragraph\">On peut ainsi s&#8217;amuser \u00e0 faire beaucoup de choses&#8230; Avez-vous des id\u00e9es pour compl\u00e9ter ce post ? L\u00e2chez-vous en commentaire et j&#8217;ajouterai les suggestions qui me paraissent int\u00e9ressantes et diff\u00e9rentes de celles d\u00e9j\u00e0 propos\u00e9es.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sous Jupyter, par exemple, comment afficher en LaTeX des fonctions Python? Il existe un module pour faire cela\u2026<\/p>\n","protected":false},"author":1,"featured_media":9985,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,6,5],"tags":[88,425,101],"class_list":["post-9981","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-latex","category-mathematiques","category-python","tag-latex","tag-latexify","tag-python"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Du LaTeX dans les r\u00e9sultats Python sous Jupyter - Mathweb.fr<\/title>\n<meta name=\"description\" content=\"Sous Jupyter, par exemple, comment afficher en LaTeX des fonctions Python? 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