{"id":949,"date":"2014-03-10T16:15:28","date_gmt":"2014-03-10T14:15:28","guid":{"rendered":"http:\/\/descartesjs.org\/documentacion\/?p=949"},"modified":"2021-08-06T18:06:09","modified_gmt":"2021-08-06T17:06:09","slug":"funciones-matematicas-operadores-y-palabras-reservadas","status":"publish","type":"post","link":"https:\/\/reddescartes.org\/documentacion\/funciones-matematicas-operadores-y-palabras-reservadas\/","title":{"rendered":"Funciones matem\u00e1ticas"},"content":{"rendered":"<p style=\"text-align: left;\" align=\"center\"><span style=\"font-size: 14px; line-height: 1.5em;\">Las funciones matem\u00e1ticas que reconoce el analizador de expresiones de Descartes, aparte de las que est\u00e9n expl\u00edcitamente definidas en una escena, son las siguientes:<\/span><\/p>\n<p>Funciones de una variable\u00a0<span style=\"font-family: 'Courier New';\"><small><strong>(x)<\/strong><\/small><\/span>:<\/p>\n<div align=\"center\">\n<table border=\"1\">\n<tbody>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>sqr<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>sqr(x)=x*x<\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>sqrt<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>sqrt(x)=ra\u00edz cuadrada de x<\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>raiz<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>sqrt(x)=ra\u00edz cuadrada de x<\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>exp<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>exp(x)=exponencial natural de x=e^x<\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>log<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>log(x)=logaritmo natural de x<\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>log10<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>log10(x)=logaritmo base 10 de x<\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>abs<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>\u00a0abs(x)=valor absoluto de x<\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>ent<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>ent(x)=mayor entero n tal que n&lt;x<\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>sgn<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>\u00a0sgn(x)=signo de x (1 si x&gt;0,-1 si x&lt;0,0 si x=0)<\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>ind<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>ind(b)=indicadora de b\u00a0<small>(1 si b=true, 0 si b=false)<\/small><\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>sin<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong><strong>\u00a0sin(x)=seno de x<\/strong><\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>sen<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong><strong>\u00a0sin(x)=seno de x<\/strong><\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>cos<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong><strong>cos(x)=coseno de x<\/strong><\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>tan<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>tan(x)=tangente de x<\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>cot<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>cot(x)=cotangente de x<\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>sec<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>sec(x)=secante de x<\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>csc<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>\u00a0csc(x)=cosecante de x<\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>sinh<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong>\u00a0sinh(x)=seno hiperb\u00f3lico de x=<small>(exp(x)-exp(-x))\/2<\/small><\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>senh<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong><strong>\u00a0senh(x)=seno hiperb\u00f3lico de x=<small>(exp(x)-exp(-x))\/2<\/small><\/strong><\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>cosh<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong><strong>\u00a0cosh(x)=coseno hiperb\u00f3lico de x=<small>(exp(x)+exp(-x))\/2<\/small><\/strong><\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>tanh<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong><strong>\u00a0tanh(x)=tangente hiperb\u00f3lica de x<small>=sinh(x)\/cosh(x)<\/small><\/strong><\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>coth<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong><strong>\u00a0cot(x)=cotangente hiperb\u00f3lica de x<small>=cosh(x)\/sinh(x)<\/small><\/strong><\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>sech<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong><strong>\u00a0sech(x)=secante hiperb\u00f3lica de x<small>=1\/cosh(x)<\/small><\/strong><\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>csch<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong><strong>\u00a0csch(x)=cosecante hiperb\u00f3lica de x<small>=1\/senh(x)<\/small><\/strong><\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>asin<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong><strong><strong>\u00a0asin(x)=\u00e1ngulo cuyo seno es x<\/strong><\/strong><\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>asen<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong><strong><strong>\u00a0asen(x)=\u00e1ngulo cuyo seno es x<\/strong><\/strong><\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>acos<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong><strong><strong>\u00a0acos(x)=\u00e1ngulo cuyo coseno es x<\/strong><\/strong><\/strong><\/td>\n<\/tr>\n<tr valign=\"middle\">\n<td style=\"width: 50px;\"><span style=\"color: #73a53e;\"><strong>atan<\/strong><\/span><\/td>\n<td style=\"width: 350px;\"><strong><strong><strong>atan(x)=\u00e1ngulo cuyo coseno es x<\/strong><\/strong><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div style=\"text-align: center;\">\n<!-- iframe plugin v.4.5 wordpress.org\/plugins\/iframe\/ -->\n<iframe src=\"https:\/\/descartesjs.org\/repositorio\/documentacion_4D\/Funciones_JS\/funcion4.html\" width=\"570\" height=\"320\" scrolling=\"yes\" class=\"iframe-class\" frameborder=\"0\"><\/iframe>\n<\/div>\n<div style=\"text-align: center;\">(Puede descargar esta escena desde <a href=\"https:\/\/descartesjs.org\/repositorio\/documentacion_4D\/Funciones_JS.zip\">este enlace<\/a>)<\/div>\n<p>Funciones de dos variables\u00a0(x, y):<\/p>\n<div align=\"center\">\n<table border=\"1\" align=\"center\">\n<tbody>\n<tr>\n<td><span style=\"color: #73a53e;\"><strong>min<\/strong><\/span><\/td>\n<td><strong>min(x,y)=m\u00ednimo de x e y<\/strong><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #73a53e;\"><strong>max<\/strong><\/span><\/td>\n<td><strong><strong>max(x,y)=m\u00e1ximo de x e y<\/strong><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>Tambi\u00e9n hay un n\u00famero aleatorio con distribuci\u00f3n uniforme en el intervalo\u00a0<span style=\"font-family: 'Courier New';\"><strong>[0,1]<\/strong><\/span>:<span style=\"font-family: 'Courier New';\">\u00a0<strong><span style=\"color: #73a53e;\">rnd<\/span><\/strong><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Las funciones matem\u00e1ticas que reconoce el analizador de expresiones de Descartes, aparte de las que est\u00e9n expl\u00edcitamente definidas en una escena, son las siguientes: Funciones de una variable\u00a0(x): sqr sqr(x)=x*x sqrt sqrt(x)=ra\u00edz cuadrada de x raiz sqrt(x)=ra\u00edz cuadrada de x exp exp(x)=exponencial natural de x=e^x log log(x)=logaritmo natural de x log10 log10(x)=logaritmo base 10 de x abs \u00a0abs(x)=valor absoluto de x ent ent(x)=mayor entero n tal que n&lt;x sgn \u00a0sgn(x)=signo de x (1 si x&gt;0,-1 si x&lt;0,0 si x=0) ind ind(b)=indicadora de b\u00a0(1 si b=true, 0 si b=false) sin \u00a0sin(x)=seno de x sen \u00a0sin(x)=seno de x cos cos(x)=coseno de x<\/p>\n<a class=\"more-link\" rel=\"nofollow\" href=\"https:\/\/reddescartes.org\/documentacion\/funciones-matematicas-operadores-y-palabras-reservadas\/\">[Leer m\u00e1s...]<\/a>","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[27],"tags":[52,76,77],"_links":{"self":[{"href":"https:\/\/reddescartes.org\/documentacion\/wp-json\/wp\/v2\/posts\/949"}],"collection":[{"href":"https:\/\/reddescartes.org\/documentacion\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/reddescartes.org\/documentacion\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/reddescartes.org\/documentacion\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/reddescartes.org\/documentacion\/wp-json\/wp\/v2\/comments?post=949"}],"version-history":[{"count":30,"href":"https:\/\/reddescartes.org\/documentacion\/wp-json\/wp\/v2\/posts\/949\/revisions"}],"predecessor-version":[{"id":3473,"href":"https:\/\/reddescartes.org\/documentacion\/wp-json\/wp\/v2\/posts\/949\/revisions\/3473"}],"wp:attachment":[{"href":"https:\/\/reddescartes.org\/documentacion\/wp-json\/wp\/v2\/media?parent=949"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/reddescartes.org\/documentacion\/wp-json\/wp\/v2\/categories?post=949"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/reddescartes.org\/documentacion\/wp-json\/wp\/v2\/tags?post=949"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}