{"id":13134,"date":"2024-09-10T16:41:06","date_gmt":"2024-09-10T14:41:06","guid":{"rendered":"https:\/\/oti.unp.edu.pe\/?p=13134"},"modified":"2024-09-10T17:11:35","modified_gmt":"2024-09-10T15:11:35","slug":"los-10-conceptos-matematicos-mas-importantes-para-potenciar-tus-habilidades-de-programacion","status":"publish","type":"post","link":"https:\/\/oti.unp.edu.pe\/?p=13134","title":{"rendered":"Los 10 conceptos matem\u00e1ticos m\u00e1s importantes para potenciar tus habilidades de programaci\u00f3n"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"13134\" class=\"elementor elementor-13134\">\n\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0361cb2 e-con-full e-flex e-con e-parent\" data-id=\"0361cb2\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t<div class=\"elementor-element elementor-element-ddf72ee elementor-widget elementor-widget-text-editor\" data-id=\"ddf72ee\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 17-10-2023 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<p>Todos los que trabajan en el campo del desarrollo utilizan con regularidad distintos tipos de lenguajes de programaci\u00f3n en sus proyectos, pero la mayor\u00eda de ellos no son buenos en sus habilidades matem\u00e1ticas en la escuela o la universidad. Incluso las personas con buenos conocimientos de matem\u00e1ticas no ser\u00e1n buenas en habilidades de programaci\u00f3n como yo.<br \/>La comprensi\u00f3n de las matem\u00e1ticas son fundamentales para la programaci\u00f3n.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5e70114 elementor-widget elementor-widget-text-editor\" data-id=\"5e70114\" data-element_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<p>Muchos algoritmos, estructuras de datos y t\u00e9cnicas de resoluci\u00f3n de problemas se basan en principios matem\u00e1ticos.<br \/>La comprensi\u00f3n de estos conceptos puede mejorar las habilidades de codificaci\u00f3n y ayudar a escribir c\u00f3digo mas eficiente y eficaz.\u00a0<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b21c177 elementor-widget elementor-widget-heading\" data-id=\"b21c177\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 17-10-2023 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-medium\">1. Operaciones aritm\u00e9ticas<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1134d48 elementor-widget elementor-widget-text-editor\" data-id=\"1134d48\" data-element_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<p>Las operaciones aritm\u00e9ticas incluyen operaciones b\u00e1sicas como la suma, la resta, la multiplicaci\u00f3n y la divisi\u00f3n. Estas operaciones forman la base de c\u00e1lculos matem\u00e1ticos m\u00e1s complejos.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0642142 elementor-widget elementor-widget-heading\" data-id=\"0642142\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ecuaciones matem\u00e1ticas:\n<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-89ca3ed elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"89ca3ed\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<link rel=\"stylesheet\" href=\"https:\/\/oti.unp.edu.pe\/wp-content\/plugins\/elementor\/assets\/css\/widget-icon-list.min.css\">\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Suma: <\/b> A + B<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Resta<\/b>: A - B<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Multiplicaci\u00f3n<\/b>: A * B<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Divisi\u00f3n<\/b>: A \/ B<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-127b0fb elementor-widget elementor-widget-text-editor\" data-id=\"127b0fb\" data-element_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<p>En tiempo real, utilizamos principalmente estas operaciones aritm\u00e9ticas en todos nuestros c\u00e1lculos en diferentes espacios.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-10711ad elementor-widget elementor-widget-heading\" data-id=\"10711ad\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-medium\">2. \u00c1lgebra - Ecuaciones matem\u00e1ticas:\n<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6e1a6f4 elementor-widget elementor-widget-text-editor\" data-id=\"6e1a6f4\" data-element_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<p>El \u00e1lgebra implica la resoluci\u00f3n de ecuaciones y la manipulaci\u00f3n de variables. Se utiliza principalmente para el dise\u00f1o de algoritmos y el an\u00e1lisis de datos.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-537ccb8 elementor-widget elementor-widget-heading\" data-id=\"537ccb8\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ecuaciones matem\u00e1ticas:<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d303481 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"d303481\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Suma <\/b>: a + b<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Resta <\/b>: a - b<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Multiplicaci\u00f3n <\/b>: a * b<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Divisi\u00f3n <\/b>: a \/ b<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-cbf625f elementor-widget elementor-widget-text-editor\" data-id=\"cbf625f\" data-element_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<p>En tiempo real, utilizamos principalmente estas operaciones aritm\u00e9ticas en todos nuestros c\u00e1lculos en diferentes espacios.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a5818a3 elementor-widget elementor-widget-heading\" data-id=\"a5818a3\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ejemplo<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c2f5adc elementor-widget elementor-widget-text-editor\" data-id=\"c2f5adc\" data-element_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<ol><li>Calcular el coste total de los art\u00edculos en un carrito de compras.<\/li><li>Calcular precio total con impuestos y descuentos en una aplicaci\u00f3n de comercio electr\u00f3nico.<\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d79d11d elementor-widget elementor-widget-text-editor\" data-id=\"d79d11d\" data-element_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<p><span style=\"color: #ff00ff;\">function<\/span><span style=\"color: #333333;\"> calculateTotal ( <span style=\"color: #cc99ff;\">carrito<\/span> ) {<\/span> <br \/><span style=\"color: #333333;\">return carrito.reduce ( ( total, art\u00edculo ) =&gt; total + art\u00edculo.precio , 0 ); } <\/span><br \/><span style=\"color: #ff00ff;\">const<\/span> <span style=\"color: #333333;\">carrito = [ { nombre : <span style=\"color: #ff6600;\">&#8216;Art\u00edculo 1&#8217;<\/span> ,<\/span> <span style=\"color: #333333;\">precio : 20 }, { nombre : <span style=\"color: #ff6600;\">&#8216;Art\u00edculo 2&#8217;<\/span> , precio : 15 } , { nombre :<span style=\"color: #ff6600;\"> &#8216;Art\u00edculo 3&#8217;<\/span> , precio : 30 } ]; <\/span><br \/><span style=\"color: #333333;\">console.log ( calculateTotal ( carrito));<\/span> <span style=\"color: #008000;\">\/\/ Salida: 65<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1d97880 elementor-widget elementor-widget-heading\" data-id=\"1d97880\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-medium\">3. Geometr\u00eda<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5e8763b elementor-widget elementor-widget-text-editor\" data-id=\"5e8763b\" data-element_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<p>La geometr\u00eda implica el estudio de las formas, los tama\u00f1os y las propiedades del espacio. Se utiliza en la programaci\u00f3n gr\u00e1fica y en los c\u00e1lculos espaciales.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ca46e87 elementor-widget elementor-widget-heading\" data-id=\"ca46e87\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ecuaciones matem\u00e1ticas:<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4e8d8d9 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"4e8d8d9\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>\u00c1rea de un c\u00edrculo<\/b>: \u03c0r\u00b2<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>\u00c1rea de un rect\u00e1ngulo <\/b>: l*w<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c7c5cf4 elementor-widget elementor-widget-heading\" data-id=\"c7c5cf4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ejemplo<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a494a81 elementor-widget elementor-widget-text-editor\" data-id=\"a494a81\" data-element_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<ol><li>Dibujar un c\u00edrculo en una aplicaci\u00f3n basada en lienzo.<\/li><li>Calcular el \u00e1rea y el per\u00edmetro de la imagen de perfil o del dise\u00f1o de la tarjeta de un usuario en una aplicaci\u00f3n web.<\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e04c343 elementor-widget elementor-widget-text-editor\" data-id=\"e04c343\" data-element_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<p><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">function<\/span> calculateCircleArea ( <span style=\"color: #cc99ff;\">radio<\/span> ) { <\/span><br \/><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">return<\/span> <span style=\"color: #ff00ff;\">Math<\/span>.PI * <span style=\"color: #ff00ff;\">Math<\/span>.pow (<span style=\"color: #cc99ff;\">radio<\/span>, <span style=\"color: #0000ff;\">2<\/span> ) ; } console.log ( calculateCircleArea ( <span style=\"color: #0000ff;\">5<\/span> ) ) ;<br \/><span style=\"color: #339966;\">\/\/ Salida : 78.53981633974483<\/span><\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-be7cd7c elementor-widget elementor-widget-heading\" data-id=\"be7cd7c\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-medium\">4. Estad\u00edsticas\n<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bbbdc4d elementor-widget elementor-widget-text-editor\" data-id=\"bbbdc4d\" data-element_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<p>La estad\u00edstica implica la recopilaci\u00f3n, el an\u00e1lisis, la interpretaci\u00f3n y la presentaci\u00f3n de datos. Es esencial para la toma de decisiones y el an\u00e1lisis basados \u200b\u200ben datos.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-44aa272 elementor-widget elementor-widget-heading\" data-id=\"44aa272\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ecuaciones matem\u00e1ticas:<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5745293 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"5745293\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Media <\/b>: \u2211xi\/n<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Mediana <\/b>: Valor medio en datos ordenados<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Desviaci\u00f3n est\u00e1ndar<\/b>: \u2211(xi\u2212\u03bc)\u00b2\/n<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8c279fc elementor-widget elementor-widget-heading\" data-id=\"8c279fc\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ejemplo<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-24d2e60 elementor-widget elementor-widget-text-editor\" data-id=\"24d2e60\" data-element_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<ol><li>Analizar datos de comportamiento del usuario para comprender patrones y tendencias de uso.<\/li><li>Analizar las m\u00e9tricas de crecimiento del producto a trav\u00e9s de sus m\u00e9tricas de compra.<\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-cae414e elementor-widget elementor-widget-text-editor\" data-id=\"cae414e\" data-element_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<p><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">function <\/span><\/span><span style=\"color: #333333;\">calculateMean ( <span style=\"color: #cc99ff;\">numbers<\/span> ) { <\/span><br \/><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">const<\/span> total = numbers.reduce ( ( sum , num ) =&gt; sum + num, <span style=\"color: #0000ff;\">0<\/span> ); <\/span><br \/><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">return<\/span> total \/ numbers.<span style=\"color: #ff00ff;\">length<\/span> ;<\/span><br \/><span style=\"color: #333333;\">}<\/span><\/p><p><span style=\"color: #333333;\">console.log ( calculateMean ( [ <span style=\"color: #0000ff;\">10<\/span> , <span style=\"color: #0000ff;\">20<\/span> , <span style=\"color: #0000ff;\">30<\/span> , <span style=\"color: #0000ff;\">40<\/span> , <span style=\"color: #0000ff;\">50<\/span> ])); <span style=\"color: #008000;\">\/\/ Salida : 30<\/span><\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8bdb130 elementor-widget elementor-widget-heading\" data-id=\"8bdb130\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-medium\">5. Probabilidad\n<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d94002f elementor-widget elementor-widget-text-editor\" data-id=\"d94002f\" data-element_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<p>La probabilidad mide la posibilidad de que ocurra un evento. Se utiliza en diversos campos, como la teor\u00eda de juegos y el aprendizaje autom\u00e1tico.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aa7e367 elementor-widget elementor-widget-heading\" data-id=\"aa7e367\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ecuaciones matem\u00e1ticas:<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8315f56 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"8315f56\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Probabilidad del evento A<\/b>: P(A) = N\u00famero de resultados favorables \/ N\u00famero total de resultados<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8ed0a19 elementor-widget elementor-widget-heading\" data-id=\"8ed0a19\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ejemplo<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-602b69b elementor-widget elementor-widget-text-editor\" data-id=\"602b69b\" data-element_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<ol><li>Predecir la probabilidad de que un usuario haga clic en un enlace bas\u00e1ndose en datos hist\u00f3ricos.<\/li><li>Predecir las posibilidades de \u00e9xito de las pruebas A\/B en las estrategias de marketing.<\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-377a174 elementor-widget elementor-widget-text-editor\" data-id=\"377a174\" data-element_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<p><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">function <\/span><\/span><span style=\"color: #333333;\">probabilidad ( <span style=\"color: #cc99ff;\">favorable, total<\/span> ) { <\/span><br \/><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">return<\/span> favorable \/ total; <\/span><br \/><span style=\"color: #333333;\">}<\/span><\/p><p><span style=\"color: #333333;\">console.log ( <span style=\"color: #ff6600;\">&#8216;Probabilidad de sacar un As de una baraja de 52 cartas:&#8217; <\/span>, probabilidad ( <span style=\"color: #0000ff;\">4 <\/span>, <span style=\"color: #0000ff;\">52<\/span> )); <span style=\"color: #339966;\">\/\/ 0.07692<\/span><\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4ba0316 elementor-widget elementor-widget-heading\" data-id=\"4ba0316\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-medium\">6. C\u00e1lculo<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-484107a elementor-widget elementor-widget-text-editor\" data-id=\"484107a\" data-element_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<p>El c\u00e1lculo estudia los cambios y el movimiento, centr\u00e1ndose en las derivadas y las integrales. Se utiliza en problemas de optimizaci\u00f3n y modelado.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a3140ad elementor-widget elementor-widget-heading\" data-id=\"a3140ad\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ecuaciones matem\u00e1ticas:<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-370a0a3 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"370a0a3\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Derivada<\/b>: f(x) = (f(x+h) \u2212 f(x)\u200b) \/ h<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Derivada<\/b>: f(x) = (f(x+h) \u2212 f(x)\u200b) \/ h<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e788a54 elementor-widget elementor-widget-heading\" data-id=\"e788a54\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ejemplo<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-943f4f3 elementor-widget elementor-widget-text-editor\" data-id=\"943f4f3\" data-element_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<ol><li>Optimizaci\u00f3n de una funci\u00f3n para encontrar los mejores par\u00e1metros para un modelo de aprendizaje autom\u00e1tico.<\/li><li>Optimizaci\u00f3n de m\u00e9tricas de rendimiento en aplicaciones en tiempo real.<\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-818757a elementor-widget elementor-widget-text-editor\" data-id=\"818757a\" data-element_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<p><span style=\"color: #ff00ff;\">function<\/span> <span style=\"color: #333333;\">derivada ( <span style=\"color: #cc99ff;\">f<\/span>,<span style=\"color: #cc99ff;\"> x<\/span>, <span style=\"color: #cc99ff;\">h<\/span> = <span style=\"color: #0000ff;\">0.0001<\/span> ) {<\/span> <br \/><span style=\"color: #ff00ff;\">return<\/span><span style=\"color: #333333;\"> ( f (x + h) &#8211; f (x)) \/ h; <\/span><br \/><span style=\"color: #333333;\">}<\/span><\/p><p><span style=\"color: #ff00ff;\">const<\/span> <span style=\"color: #333333;\">f = x =&gt; x * x; <span style=\"color: #008000;\">\/\/ Funci\u00f3n f(x) = x^2 <\/span><\/span><br \/><span style=\"color: #333333;\">console.log(<span style=\"color: #ff6600;\"> &#8216; Derivada en x=2:&#8217;<\/span> , derivada (f, <span style=\"color: #0000ff;\">2<\/span> ) );<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-40dc48f elementor-widget elementor-widget-heading\" data-id=\"40dc48f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-medium\">7. Teor\u00eda de grafos\n<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-88e3301 elementor-widget elementor-widget-text-editor\" data-id=\"88e3301\" data-element_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<p>La teor\u00eda de grafos estudia las relaciones entre pares de objetos, utilizando nodos y aristas. Es esencial para el an\u00e1lisis de redes y los algoritmos de b\u00fasqueda de rutas.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a4e7c71 elementor-widget elementor-widget-heading\" data-id=\"a4e7c71\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ecuaciones matem\u00e1ticas:<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d4f26bf elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"d4f26bf\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Problema del camino m\u00e1s corto<\/b>: uso de algoritmos como el de Dijkstra.<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e52bf55 elementor-widget elementor-widget-heading\" data-id=\"e52bf55\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ejemplo<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1e3e191 elementor-widget elementor-widget-text-editor\" data-id=\"1e3e191\" data-element_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<ol><li>Encontrar la ruta m\u00e1s corta entre dos ubicaciones en un sistema de navegaci\u00f3n.<\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-26671e8 elementor-widget elementor-widget-text-editor\" data-id=\"26671e8\" data-element_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<p><span style=\"color: #ff00ff;\">function<\/span><span style=\"color: #333333;\"> dijkstra (<\/span> <span style=\"color: #cc99ff;\">graph<\/span><span style=\"color: #333333;\">,<\/span> <span style=\"color: #cc99ff;\">start<\/span><span style=\"color: #333333;\">,<\/span> <span style=\"color: #cc99ff;\">end<\/span> <span style=\"color: #333333;\">) {<\/span> <br \/><span style=\"color: #008000;\">\/\/ Implementa el algoritmo de Dijkstra para encontrar la ruta m\u00e1s corta <\/span><br \/><span style=\"color: #008000;\">\/\/ Este es un ejemplo simplificado; una implementaci\u00f3n completa ser\u00eda m\u00e1s compleja<\/span> <br \/><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">let<\/span> distances = {}; <\/span><br \/><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">let<\/span> visits = {}; <\/span><br \/><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">let<\/span> queue = [start];<\/span><\/p><p><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">for<\/span> ( <span style=\"color: #ff00ff;\">let<\/span> node <span style=\"color: #ff00ff;\">in<\/span> graph) { <\/span><br \/><span style=\"color: #333333;\">\u00a0 \u00a0 distances[node] = Infinity ; <\/span><br \/><span style=\"color: #333333;\">\u00a0 \u00a0 visits[node] = <span style=\"color: #ff00ff;\">false<\/span> ; <\/span><br \/><span style=\"color: #333333;\">} <\/span><br \/><span style=\"color: #333333;\">distances[start] = 0 ;<\/span><\/p><p><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">while<\/span> (queue. <span style=\"color: #ff00ff;\">length<\/span> ) { <\/span><br \/><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">\u00a0 \u00a0let<\/span> node = queue. shift (); <\/span><br \/><span style=\"color: #333333;\">\u00a0 \u00a0visits[node] = <span style=\"color: #ff00ff;\">true<\/span> ;<\/span><\/p><p><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">for<\/span> ( <span style=\"color: #ff00ff;\">let<\/span> neighbor <span style=\"color: #ff00ff;\">in<\/span> graph[node]) { <\/span><br \/><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">\u00a0 \u00a0 if<\/span> (!visited[neighbor]) { <\/span><br \/><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">\u00a0 \u00a0 let<\/span> newDist = distances[node] + graph[node][neighbor]; <\/span><br \/><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">\u00a0 \u00a0 if<\/span> (newDist &lt; distances[neighbor]) { <\/span><br \/><span style=\"color: #333333;\">\u00a0 \u00a0 \u00a0 \u00a0 distances[neighbor] = newDist; <\/span><br \/><span style=\"color: #333333;\">\u00a0 \u00a0 \u00a0 \u00a0 queue. push (neighbor); <\/span><br \/><span style=\"color: #333333;\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 } <\/span><br \/><span style=\"color: #333333;\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 } <\/span><br \/><span style=\"color: #333333;\">\u00a0 \u00a0 \u00a0 \u00a0 } <\/span><br \/><span style=\"color: #333333;\">\u00a0 \u00a0 } <\/span><br \/><span style=\"color: #333333;\">\u00a0 \u00a0 <span style=\"color: #ff00ff;\">return<\/span> distances[end]; <\/span><br \/><span style=\"color: #333333;\">}<\/span><\/p><p><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">const<\/span> graph = { <\/span><br \/><span style=\"color: #333333;\">A : { B : 1 , C : 4 }, <\/span><br \/><span style=\"color: #333333;\">B : { A : 1 , C : 2 , D : 5 }, <\/span><br \/><span style=\"color: #333333;\">C : { A : 4 , B : 2 , D : 1 }, <\/span><br \/><span style=\"color: #333333;\">D : { B : 5 , C : 1 } <\/span><br \/><span style=\"color: #333333;\">};<\/span><\/p><p><span style=\"color: #333333;\">console . log ( dijkstra (graph, <span style=\"color: #ff6600;\">&#8216;A&#8217;<\/span> , <span style=\"color: #ff6600;\">&#8216;D&#8217;<\/span> )); <span style=\"color: #008000;\">\/\/ Salida: 3<\/span><\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d3f7b49 elementor-widget elementor-widget-heading\" data-id=\"d3f7b49\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-medium\">8. \u00c1lgebra lineal\n<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-80595ee elementor-widget elementor-widget-text-editor\" data-id=\"80595ee\" data-element_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<p>El \u00e1lgebra lineal involucra espacios vectoriales y aplicaciones lineales. Es fundamental para comprender las transformaciones y los algoritmos de aprendizaje autom\u00e1tico.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2a0a49e elementor-widget elementor-widget-heading\" data-id=\"2a0a49e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ecuaciones matem\u00e1ticas:<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4bc9960 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"4bc9960\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Suma de Vectores<\/b>: U + V<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Multiplicaci\u00f3n de Matrices<\/b>: A x B<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-146753b elementor-widget elementor-widget-heading\" data-id=\"146753b\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ejemplo<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-cf24ce8 elementor-widget elementor-widget-text-editor\" data-id=\"cf24ce8\" data-element_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<ol><li>Transformaci\u00f3n de puntos de datos en una aplicaci\u00f3n de gr\u00e1ficos 3D.<\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a39f654 elementor-widget elementor-widget-text-editor\" data-id=\"a39f654\" data-element_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<p><span style=\"color: #ff00ff;\">function<\/span> <span style=\"color: #333333;\">addVectors ( v1, v2 ) {<\/span> <br \/><span style=\"color: #ff00ff;\">return<\/span> <span style=\"color: #333333;\">v1<\/span>.<span style=\"color: #ff00ff;\">map<\/span> <span style=\"color: #333333;\">( ( val , index ) =&gt; val + v2 [index]); }<\/span><br \/><span style=\"color: #333333;\">console.log ( addVectors ([<\/span> <span style=\"color: #0000ff;\">1<\/span> <span style=\"color: #333333;\">,<\/span> <span style=\"color: #0000ff;\">2<\/span> <span style=\"color: #333333;\">,<\/span> <span style=\"color: #0000ff;\">3<\/span> <span style=\"color: #333333;\">], [<\/span> <span style=\"color: #0000ff;\">4<\/span> <span style=\"color: #333333;\">,<\/span> <span style=\"color: #0000ff;\">5<\/span><span style=\"color: #333333;\"> ,<\/span> <span style=\"color: #0000ff;\">6<\/span> <span style=\"color: #333333;\">]));<\/span> <span style=\"color: #008000;\">\/\/ Salida: [5, 7, 9 ]<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9c63c14 elementor-widget elementor-widget-heading\" data-id=\"9c63c14\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-medium\">9. Teor\u00eda de n\u00fameros\n<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e0d1bd3 elementor-widget elementor-widget-text-editor\" data-id=\"e0d1bd3\" data-element_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<p>La teor\u00eda de n\u00fameros se centra en las propiedades y relaciones de los n\u00fameros enteros. Se utiliza en criptograf\u00eda y dise\u00f1o de algoritmos.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0d39f1a elementor-widget elementor-widget-heading\" data-id=\"0d39f1a\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ecuaciones matem\u00e1ticas:<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c1f4a83 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"c1f4a83\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>N\u00fameros primos <\/b>: N\u00fameros mayores que 1 que no tienen otros divisores que 1 y ellos mismos.<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d411dda elementor-widget elementor-widget-heading\" data-id=\"d411dda\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ejemplo<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-99224fa elementor-widget elementor-widget-text-editor\" data-id=\"99224fa\" data-element_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<ol><li>Implementaci\u00f3n de un algoritmo de cifrado b\u00e1sico.<\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b868eff elementor-widget elementor-widget-text-editor\" data-id=\"b868eff\" data-element_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<p><span style=\"color: #333333;\"><span style=\"color: #ff00ff;\">function <\/span><\/span><span style=\"color: #333333;\">esPrime<\/span>(<span style=\"color: #cc99ff;\">n\u00famero<\/span>) {<br \/><span style=\"color: #ff00ff;\">si<\/span>(<span style=\"color: #333333;\">n\u00famero &lt;=1<\/span>)<span style=\"color: #ff00ff;\">devolver<\/span> <span style=\"color: #ff00ff;\">FALSO<\/span>;<br \/><span style=\"color: #ff00ff;\">para<\/span>(<span style=\"color: #ff00ff;\">dejar<\/span> <span style=\"color: #333333;\">yo =2;yo &lt;=Matem\u00e1ticas.ra\u00edzcuadrada(numero); i++) {<\/span><br \/><span style=\"color: #ff00ff;\">si<\/span><span style=\"color: #333333;\">(n\u00famero % i ===<\/span><span style=\"color: #0000ff;\">0<\/span>)<span style=\"color: #ff00ff;\">devolver FALSO<\/span>; <br \/>}<br \/><span style=\"color: #ff00ff;\">devolver verdadero<\/span>; <br \/>}<\/p><p><span style=\"color: #333333;\">consola.registro(esPrime(<span style=\"color: #0000ff;\">29<\/span>)); <\/span><span style=\"color: #008000;\">\/\/ Salida: verdadero<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-91a9b6a elementor-widget elementor-widget-heading\" data-id=\"91a9b6a\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-medium\">10. Matem\u00e1ticas discretas\n<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5f4d89f elementor-widget elementor-widget-text-editor\" data-id=\"5f4d89f\" data-element_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<p>Las matem\u00e1ticas discretas implican el estudio de estructuras que son fundamentalmente discretas en lugar de continuas. Resultan \u00fatiles para algoritmos y teor\u00eda computacional.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8565017 elementor-widget elementor-widget-heading\" data-id=\"8565017\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ecuaciones matem\u00e1ticas:<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-28e5621 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"28e5621\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-circle\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\"><b>Operaci\u00f3n m\u00f3dulo<\/b>: A mod B<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-37f6921 elementor-widget elementor-widget-heading\" data-id=\"37f6921\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-small\">Ejemplo<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ad43845 elementor-widget elementor-widget-text-editor\" data-id=\"ad43845\" data-element_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<ol><li>Manejo de datos c\u00edclicos o tareas que se repiten en intervalos.<\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9c19d60 elementor-widget elementor-widget-text-editor\" data-id=\"9c19d60\" data-element_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<p><span style=\"color: #ff00ff;\">const<\/span> <span style=\"color: #333333;\">a<\/span> = <span style=\"color: #3366ff;\">29<\/span> ;<br \/><span style=\"color: #ff00ff;\">const<\/span> <span style=\"color: #333333;\">b<\/span> = <span style=\"color: #3366ff;\">5<\/span> ;<\/p><p><span style=\"color: #333333;\">console.log(<span style=\"color: #ff6600;\">&#8216;Operaci\u00f3n de m\u00f3dulo:&#8217;<\/span>, a % b );<\/span><span style=\"color: #339966;\"> \/\/ Operaci\u00f3n de m\u00f3dulo :4<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-24eadf9 elementor-widget elementor-widget-heading\" data-id=\"24eadf9\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-medium\">Conclusi\u00f3n\n<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a0903b3 elementor-widget elementor-widget-text-editor\" data-id=\"a0903b3\" data-element_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<p>Comprender estos conceptos matem\u00e1ticos puede mejorar enormemente sus habilidades para resolver problemas y la eficiencia de su c\u00f3digo. Al integrar estos principios en sus pr\u00e1cticas de desarrollo, estar\u00e1 bien equipado para enfrentar una amplia gama de desaf\u00edos de programaci\u00f3n. Intente aprender algunos de los temas anteriores y ver\u00e1 c\u00f3mo su codificaci\u00f3n mejora con el tiempo.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fe2d2dc elementor-widget elementor-widget-text-editor\" data-id=\"fe2d2dc\" data-element_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<p style=\"text-align: right;\"><em><strong>Referencia: <a href=\"https:\/\/blog.stackademic.com\/free-view-top-10-math-concepts-to-boost-your-programming-skills-803e07ebfb51\" target=\"_blank\" rel=\"noopener\">Medium<\/a><\/strong><\/em><\/p><p style=\"text-align: right;\">\u00a0<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Todos los que trabajan en el campo del desarrollo utilizan<\/p>\n","protected":false},"author":3,"featured_media":13135,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,56],"tags":[11],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.4 - 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