{"id":602,"date":"2016-11-29T07:25:57","date_gmt":"2016-11-29T12:25:57","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/estg1003\/?p=602"},"modified":"2026-04-04T18:54:32","modified_gmt":"2026-04-04T23:54:32","slug":"tabla-de-numeros-complejos","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/stp-recursos\/tabla-de-numeros-complejos\/","title":{"rendered":"Tabla de N\u00fameros Complejos"},"content":{"rendered":"<p><strong><em>Referencia<\/em><\/strong>: Leon W Couch Ap\u00e9ndice p653<\/p>\n<p><strong>Definiciones<\/strong><\/p>\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> sen(x) = \\frac{e^{jx}-e^{-jx}}{2j} <\/span>\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> cos(x) = \\frac{e^{jx}+e^{-jx}}{2} <\/span>\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> tan(x) = \\frac{sen(x)}{cos(x)}= \\frac{e^{jx}-e^{-jx}}{j(e^{jx}+e^{-jx})} <\/span>\n<p>Teorema de Euler<\/p>\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> e^{\\pm jx} = cos(x) \\pm j sen(x) <\/span>\n<p>Complejos<\/p>\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> e^{\\pm j\\pi \/2} = \\pm j <\/span>\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> e^{\\pm jn\\pi} = \\begin {cases} 1 \\text{, n par} \\\\ -1 \\text{, n impar}\\end{cases} <\/span>\n<p>forma rectangular<\/p>\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> x + jy = Re^{j\\theta} <\/span>\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> R = \\sqrt{ x^2 + y^2} <\/span>\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\theta = tab^{-1}\\left( \\frac{y}{x} \\right) <\/span>\n<p>a una potencia<\/p>\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\left( R e^{j\\theta} \\right)^y = R^y e^{jy\\theta} <\/span>\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> \\left( R_1 e^{j\\theta_1} \\right) \\left( R_2 e^{j\\theta_2} \\right) = R_1 R_2 ^{j(\\theta_1+\\theta_2)} <\/span>\n","protected":false},"excerpt":{"rendered":"<p>Referencia: Leon W Couch Ap\u00e9ndice p653 Definiciones Teorema de Euler Complejos forma rectangular a una potencia<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-stp-unidades","format":"standard","meta":{"footnotes":""},"categories":[205],"tags":[],"class_list":["post-602","post","type-post","status-publish","format-standard","hentry","category-stp-recursos"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/602","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=602"}],"version-history":[{"count":1,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/602\/revisions"}],"predecessor-version":[{"id":22279,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/602\/revisions\/22279"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=602"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=602"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=602"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}