{"id":20380,"date":"2024-02-11T19:36:48","date_gmt":"2024-02-11T18:36:48","guid":{"rendered":"https:\/\/complex-systems-ai.com\/?page_id=20380"},"modified":"2024-02-13T14:36:42","modified_gmt":"2024-02-13T13:36:42","slug":"exercices-corriges","status":"publish","type":"page","link":"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/","title":{"rendered":"Corrected Exercises"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"20380\" class=\"elementor elementor-20380\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-872ffc1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"872ffc1\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-3dabd60\" data-id=\"3dabd60\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9ac2b3a elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"9ac2b3a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/complex-systems-ai.com\/en\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Home page<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-e2f7742\" data-id=\"e2f7742\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a1f82b4 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"a1f82b4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/guillaume-guerard.com\/\" target=\"_blank\" rel=\"noopener\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Methodologies course<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-924e920 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"924e920\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-60197d8\" data-id=\"60197d8\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6be43dc elementor-widget elementor-widget-heading\" data-id=\"6be43dc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 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\" style=\"cursor:inherit\">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\" 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:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Exercices-Corriges-Banque-du-site-Complex-systems-ai\" >Corrected Exercises - Complex-systems-ai site bank<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Mathematiques\" >Mathematics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Optimisation-Combinatoire\" >Combinatorial Optimization<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Programmation-Lineaire\" >Linear Programming<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Probleme-de-Planification\" >Planning Problem<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Recherche-de-Chemin\" >Path Finder<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Probleme-de-flot-maximum\" >Maximum flow problem<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Aide-a-la-decision\" >Help with the decision<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Algorithmique\" >Algorithmic<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Analyse-logicielle\" >Software analysis<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Reduction-polynomiale\" >Polynomial reduction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Theorie-des-Jeux\" >Game Theory<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Theorie-des-Graphes\" >Graph Theory<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Processus-de-Markov\" >Markov process<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Theorie-des-Langages\" >Language Theory<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Data-Analysis\" >Data Analysis<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Apprentissage-Machine-Machine-Learning\" >Machine Learning \/ Machine Learning<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/complex-systems-ai.com\/en\/corrected-exercises\/#Intelligence-Artificielle\" >Artificial intelligence<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Exercices-Corriges-Banque-du-site-Complex-systems-ai\"><\/span>Corrected Exercises - Complex-systems-ai site bank<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5b3fce7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5b3fce7\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-dad5f11\" data-id=\"dad5f11\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-257fa7a elementor-widget elementor-widget-text-editor\" data-id=\"257fa7a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>This page brings together the corrected exercises from the site.<\/p><p><img decoding=\"async\" class=\"aligncenter wp-image-11096 size-full\" src=\"http:\/\/complex-systems-ai.com\/wp-content\/uploads\/2020\/09\/cropped-Capture.png\" alt=\"corrected exercises\" width=\"97\" height=\"97\" title=\"\"><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fde8f55 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fde8f55\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-221fca1\" data-id=\"221fca1\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c59a41a elementor-widget elementor-widget-heading\" data-id=\"c59a41a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Mathematiques\"><\/span>Mathematics<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3c13b3c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3c13b3c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d4d8ffe\" data-id=\"d4d8ffe\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ffd2160 elementor-widget elementor-widget-text-editor\" data-id=\"ffd2160\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Logical system:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/logic-math-27\/boole-algebra-865547\/\">Boolean algebra and the Karnaugh tables<\/a><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6216492 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6216492\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4581854\" data-id=\"4581854\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1c086e7 elementor-widget elementor-widget-heading\" data-id=\"1c086e7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Optimisation-Combinatoire\"><\/span>Combinatorial Optimization<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-69c2753 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"69c2753\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5af649b\" data-id=\"5af649b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-212c51f elementor-widget elementor-widget-text-editor\" data-id=\"212c51f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"color: var( --e-global-color-text ); font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-weight: var( --e-global-typography-text-font-weight ); font-size: 1.125rem;\">Logic programming:<\/span><\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/combinatorial-optimization-2\/corrected-constraint-logic-programming-exercises\/\">Constraint logic programming<\/a><\/li><\/ul><p>Combinatorial optimization:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/combinatorial-optimization-2\/exercise-corrects-branch-and-bound\/\">Branch and Bound tutorial on whole number LP<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/combinatorial-optimization-2\/corrected-branch-and-cut-exercises\/\">Branch and cut tutorial (cutting plane, Gomory)<\/a><\/li><\/ul><p>Course Synopsis \u2013 Controls \u2013 Projects:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/sim-city-2030-graph-theory-project\/\">Project: Smart City 2030<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/linear-programming-2\/linear-programming-project-the-truman-show\/\">Project: The Truman Show<\/a><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4edb3a6 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4edb3a6\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-25770b9\" data-id=\"25770b9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0f19c96 elementor-widget elementor-widget-heading\" data-id=\"0f19c96\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Programmation-Lineaire\"><\/span>Linear Programming<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-105eb48 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"105eb48\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-dee0952\" data-id=\"dee0952\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-75c7b38 elementor-widget elementor-widget-text-editor\" data-id=\"75c7b38\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Simplex Resolution:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/help-with-the-decision\/linear-modeling-exercises-solutions\/\">Modelization<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/linear-programming-2\/lp-primal-form-exercises-solutions\/\" target=\"_blank\" rel=\"noreferrer noopener\">Primal form<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/linear-programming-2\/lp-dual-et-ecart-complementaire-exercises-solutions\/\" target=\"_blank\" rel=\"noreferrer noopener\">Dual and complementary gap<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/linear-programming-2\/lp-specific-cases-exercises-solutions\/\" target=\"_blank\" rel=\"noreferrer noopener\">Special cases<\/a><\/li><\/ul><p>Course Synopsis \u2013 Controls \u2013 Projects:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/linear-programming-2\/m1-ne-second-half-2016\/\">M1 level course on linear programming and planning problems<\/a><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2a53ab2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2a53ab2\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2d8c653\" data-id=\"2d8c653\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8dd0683 elementor-widget elementor-widget-heading\" data-id=\"8dd0683\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Probleme-de-Planification\"><\/span>Planning Problem<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fa820fc elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fa820fc\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-89241fc\" data-id=\"89241fc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7eaf196 elementor-widget elementor-widget-text-editor\" data-id=\"7eaf196\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-content-1585\" class=\"elementor-tab-content elementor-clearfix elementor-active\" role=\"tabpanel\" data-tab=\"5\" aria-labelledby=\"elementor-tab-title-1585\"><p>Algorithmic resolution:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/corrected-exercises-on-transportation-problems\/\">Transportation issues<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/planning-problem\/corrected-exercises-transportation-problems\/\">Transportation problems<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/corrected-exercises-on-assignment-problems\/\">Assignment issues<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/planning-problem\/corrected-exercises-assignment-problem\/\">Assignment problems<\/a><\/li><\/ul><p>Course Synopsis \u2013 Controls \u2013 Projects:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/maximum-flow-problem\/project-graph-theory-starship-troopers\/\">Project: Starship Troopers<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/linear-programming-2\/m1-ne-second-half-2016\/\">M1 level course on linear programming and planning problems<\/a><\/li><\/ul><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0821cbd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0821cbd\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-554011f\" data-id=\"554011f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e853e53 elementor-widget elementor-widget-heading\" data-id=\"e853e53\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Recherche-de-Chemin\"><\/span>Path Finder<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-498e8aa elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"498e8aa\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c8a89d1\" data-id=\"c8a89d1\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-47405f6 elementor-widget elementor-widget-text-editor\" data-id=\"47405f6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Shortest Path Problem:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/shortest-path-problem\/\">Shortest path<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-path-search\/corrected-exercises-shortest-path\/\">Shortest path problems<\/a><\/li><\/ul><p>Course Synopsis \u2013 Controls \u2013 Projects:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/adsa-project-among-us\/\">Project: Among Us<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/project-graph-theory-the-mazerunner\/\">Project: The Mazerunner<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/maximum-flow-problem\/project-graph-theory-starship-troopers\/\">Project: Starship Troopers<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/ope-res-graph-theory-2018-2019\/\">L3 level course on graph theory and path and flow problems<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/m1-ne-first-half-2016\/\">M1 level course on graph theory, max flow and pathfinding<\/a><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7d19825 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7d19825\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-61a51ff\" data-id=\"61a51ff\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2f41b55 elementor-widget elementor-widget-heading\" data-id=\"2f41b55\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Probleme-de-flot-maximum\"><\/span>Maximum flow problem<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f0b00fe elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f0b00fe\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-349ba5d\" data-id=\"349ba5d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e9eac23 elementor-widget elementor-widget-text-editor\" data-id=\"e9eac23\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Maximum flow problems (without constraints or minamax):<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/corrected-exercises-on-flow-problems\/\">Maximum flow problems<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/maximum-flow-problem\/corrected-exercises-flow-problems\/\">Max flow problems<\/a><\/li><\/ul><p>Course Synopsis \u2013 Controls \u2013 Projects:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/sim-city-2030-graph-theory-project\/\">Project: Sim City 2030<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/maximum-flow-problem\/project-graph-theory-starship-troopers\/\">Project: Starship Troopers<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/ope-res-graph-theory-2018-2019\/\">L3 level course on graph theory and path and flow problems<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/m1-ne-first-half-2016\/\">M1 level course on graph theory, max flow and pathfinding<\/a><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-59a2311 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"59a2311\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6347990\" data-id=\"6347990\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5be1b3b elementor-widget elementor-widget-heading\" data-id=\"5be1b3b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Aide-a-la-decision\"><\/span>Help with the decision<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-985348e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"985348e\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4c733ac\" data-id=\"4c733ac\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-97d340c elementor-widget elementor-widget-text-editor\" data-id=\"97d340c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>No exercises in this section<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-09fe5d2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"09fe5d2\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d273d17\" data-id=\"d273d17\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fbb05e5 elementor-widget elementor-widget-heading\" data-id=\"fbb05e5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Algorithmique\"><\/span>Algorithmic<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3fd0e50 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3fd0e50\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d6b7a15\" data-id=\"d6b7a15\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d897a91 elementor-widget elementor-widget-text-editor\" data-id=\"d897a91\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Algorithmic paradigms:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/corrected-exercises-on-algorithmic-structures\/\">Control Structures and Data Structures<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/corrected-exercises-on-time-complexity\/\">Time complexity<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/corrected-exercises-time-complexity\/\">Time complexity<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/corrected-exercises-recursive-algorithm\/\">Recursive, terminal, multiple and cross algorithms<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/corrected-exercises-divide-and-conquer-algorithm\/\">Divide and rule<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/divide-and-conquer-and-dynamic-programming\/\">Divide and Conquer and Dynamic Programming<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/corrected-exercises-algorithms\/\">Divide &amp; conquer and dynamic programming<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/exercises-corrected-sorting-algorithms\/\">Sorting algorithms<\/a><\/li><\/ul><p>Algorithmic with software:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/scratch-corrected-exercises\/\">SCRATCH language<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/larp-exercises\/\">LARP language<\/a><\/li><\/ul><p>Robotics and multi-agents:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/exercises-correct-lego-mindstorms\/\">Lego MindStorms<\/a><\/li><\/ul><p>Optimization of space and time:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/huffman-coding\/\">Huffman Coding Tutorial<\/a><\/li><\/ul><p>Course Synopsis \u2013 Controls \u2013 Projects:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/adsa-project-among-us\/\">ADSA Project: Among Us<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/ilv-promo-2018-smart-cityenergy\/\">ILV Introduction to agent-based design<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/modeling-of-smart-grids\/\">ENSTA modeling of Smart Grid<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/netlogo-smart-city-2021\/\">Project: Smart City on Netlogo<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/netlogo-electric-vehicles-project-2021\/\">Project: Electric vehicles on Netlogo<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/project-netlogo-vpp-2021\/\">Project: Virtual Power Plants on Netlogo<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/m1-ne-first-half-2016\/\">M1 level course on graph theory, max flow and pathfinding<\/a><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-02a3a11 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"02a3a11\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4831af0\" data-id=\"4831af0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-623e86b elementor-widget elementor-widget-heading\" data-id=\"623e86b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Analyse-logicielle\"><\/span>Software analysis<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-520c7ef elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"520c7ef\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e3d797f\" data-id=\"e3d797f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5091a1c elementor-widget elementor-widget-text-editor\" data-id=\"5091a1c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Mathematics and logic model:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/software-analysis\/corrected-exercises-relational-algebra\/\">Relational algebra<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/software-analysis\/relational-operators\/\">Relational operators<\/a><\/li><\/ul><p>Database management (SQL example):<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/software-analysis\/corrected-sql-exercises-for-beginners\/\">SQL queries (beginner)<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/software-analysis\/corrected-exercises-sql-queries-beginner\/\">SQL (Selection and Join)<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/software-analysis\/corrected-exercises-sql-integrity-and-views\/\">SQL (Integrity, Views and Confidentiality)<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/software-analysis\/competition-exercises\/\">SQL concurrency checks<\/a><\/li><\/ul><p>Database optimization:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/software-analysis\/chopping-exercises\/\">Static, dynamic and multi-criteria hashing<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/software-analysis\/corrected-indexing-exercises\/\">Key Indexing and Binary Tree<\/a><\/li><\/ul><p>Analysis and modeling (UML example):<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/software-analysis\/corrected-exercises-association-entity-model\/\">Entity-Association Model<\/a><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5c6246e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5c6246e\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b48aa51\" data-id=\"b48aa51\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b7063f0 elementor-widget elementor-widget-heading\" data-id=\"b7063f0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Reduction-polynomiale\"><\/span>Polynomial reduction<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-32e44b0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"32e44b0\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-9860f15\" data-id=\"9860f15\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-37eb631 elementor-widget elementor-widget-text-editor\" data-id=\"37eb631\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Future<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ccc297d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ccc297d\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-fc46824\" data-id=\"fc46824\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-79a11aa elementor-widget elementor-widget-heading\" data-id=\"79a11aa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Theorie-des-Jeux\"><\/span>Game Theory<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-de4c08e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"de4c08e\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0e47b80\" data-id=\"0e47b80\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b22ec80 elementor-widget elementor-widget-text-editor\" data-id=\"b22ec80\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Future<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3799d99 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3799d99\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-fc7fa50\" data-id=\"fc7fa50\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-54cad8d elementor-widget elementor-widget-heading\" data-id=\"54cad8d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Theorie-des-Graphes\"><\/span>Graph Theory<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5ea8c9d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5ea8c9d\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-9ab9024\" data-id=\"9ab9024\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-55b394c elementor-widget elementor-widget-text-editor\" data-id=\"55b394c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Modeling and Algorithms on Trees and Graphs:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/exercises-corrected-modeling-in-graph-and-trees\/\">Graph and tree modeling<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/corrected-exercises-graph-theory-basics\/\">Graph theory modeling and tree&#039;s problem<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/graph-coloring\/\">Graph modeling and graph coloring<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/corrected-exercises-graph-theory-and-coloring\/\">Graph theory modeling and coloring problem<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/spanning-tree-problem\/\">Spanning tree problem<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/corrected-exercises-spanning-tree\/\">Spanning tree problem<\/a><\/li><\/ul><p>Course Synopsis \u2013 Controls \u2013 Projects:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/sim-city-2030-graph-theory-project\/\">Project: Sim City 2030<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/algorithmic\/adsa-project-among-us\/\">Project: Among Us<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/project-graph-theory-the-mazerunner\/\">Project: The Mazerunner<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/maximum-flow-problem\/project-graph-theory-starship-troopers\/\">Project: Starship Troopers<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/sim-city-2030-graph-theory-project\/\">Project: Sim City 2030<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/ope-res-graph-theory-2018-2019\/\">L3 level course on graph theory and path and flow problems<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/graph-theory-2\/m1-ne-first-half-2016\/\">M1 level course on graph theory, max flow and pathfinding<\/a><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-400391e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"400391e\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-30e49f2\" data-id=\"30e49f2\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5e5d113 elementor-widget elementor-widget-heading\" data-id=\"5e5d113\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Processus-de-Markov\"><\/span>Markov process<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-12ef21c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"12ef21c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-79a9c38\" data-id=\"79a9c38\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-09ffc5c elementor-widget elementor-widget-text-editor\" data-id=\"09ffc5c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Markov chains in discrete time and continuous time:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/markov-process\/discrete-time-markov-chain-corrective-exercises\/\">Discrete time Markov chains<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/markov-process\/exercises-corrected-queue\/\">Waiting lines<\/a><\/li><\/ul><p>Course Synopsis \u2013 Controls \u2013 Projects:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/markov-process\/google-pagerank-and-markov-chain\/\">Project: Google PageRank<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/markov-process\/smart-grid-demand-management-2018-2019\/\">Master 1 level course on automata and Markov chains<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/markov-process\/stochastic-automaton-research-path-2018-2019\/\">Master 1 level course on stochastic automata<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/markov-process\/project-chains-of-markov-computer-chess\/\">Project: Computer Chess<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/markov-process\/project-terminator\/\">Project: Terminator<\/a><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c0293fb elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c0293fb\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f40b624\" data-id=\"f40b624\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b7fe59d elementor-widget elementor-widget-heading\" data-id=\"b7fe59d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Theorie-des-Langages\"><\/span>Language Theory<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fab9fb5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fab9fb5\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5f9f948\" data-id=\"5f9f948\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cc49e35 elementor-widget elementor-widget-text-editor\" data-id=\"cc49e35\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Construction and optimization of automata:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/language-theory\/exercises-corrects-languages-automata-and-grammars\/\">Theory of languages, automata and grammars<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/language-theory\/corrective-exercises-optimization-of-automata\/\">Optimization of automatons<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/language-theory\/battery-powered-machine-corrective-exercises\/\">Battery-operated automatons<\/a><\/li><\/ul><p>Course Synopsis \u2013 Controls \u2013 Projects:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/language-theory\/automata-language-project\/\">Project: Automata<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/markov-process\/project-chains-of-markov-computer-chess\/\">Project: Computer Chess<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/markov-process\/smart-grid-demand-management-2018-2019\/\">Master 1 level course on automata and Markov chains<\/a><\/li><li><a href=\"https:\/\/complex-systems-ai.com\/en\/markov-process\/stochastic-automaton-research-path-2018-2019\/\">Master 1 level course on stochastic automata<\/a><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9f60c0f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9f60c0f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4625fef\" data-id=\"4625fef\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b063de6 elementor-widget elementor-widget-heading\" data-id=\"b063de6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Data-Analysis\"><\/span>Data Analysis<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5eb4019 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5eb4019\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-53976fb\" data-id=\"53976fb\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-97a27cd elementor-widget elementor-widget-text-editor\" data-id=\"97a27cd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Descriptive Analysis:<\/p><ul><li><a href=\"https:\/\/complex-systems-ai.com\/en\/descriptive-analysis\/corrected-exercises-exploratory-analysis-of-data\/\">EDA<\/a><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-aca51b3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"aca51b3\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7241fdd\" data-id=\"7241fdd\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-581335f elementor-widget elementor-widget-heading\" data-id=\"581335f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Apprentissage-Machine-Machine-Learning\"><\/span>Machine Learning \/ Machine Learning<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b507d87 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b507d87\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8f1647d\" data-id=\"8f1647d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bea8af9 elementor-widget elementor-widget-text-editor\" data-id=\"bea8af9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Future<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9e4bc07 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9e4bc07\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8604ee0\" data-id=\"8604ee0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d53f0b3 elementor-widget elementor-widget-heading\" data-id=\"d53f0b3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span class=\"ez-toc-section\" id=\"Intelligence-Artificielle\"><\/span>Artificial intelligence<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a284451 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a284451\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-809a8db\" data-id=\"809a8db\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fd14b4c elementor-widget elementor-widget-text-editor\" data-id=\"fd14b4c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Future<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Home page Methodology Courses Corrected Exercises \u2013 Complex-systems-ai site bank This page brings together the corrected exercises from the site. Mathematics Logical system: Algebra of\u2026 <\/p>","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-20380","page","type-page","status-publish","hentry"],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/pages\/20380","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/comments?post=20380"}],"version-history":[{"count":49,"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/pages\/20380\/revisions"}],"predecessor-version":[{"id":20699,"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/pages\/20380\/revisions\/20699"}],"wp:attachment":[{"href":"https:\/\/complex-systems-ai.com\/en\/wp-json\/wp\/v2\/media?parent=20380"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}