﻿{"id":115780,"date":"2020-01-29T18:21:24","date_gmt":"2020-01-29T17:21:24","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/aritmetica\/entornos.html"},"modified":"2020-01-29T18:21:24","modified_gmt":"2020-01-29T17:21:24","slug":"entornos","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/aritmetica\/entornos.html","title":{"rendered":"Entornos"},"content":{"rendered":"<section id=\"sec\" style=\"\">\n<p class=\"\">Se llama <strong>entorno de centro a y radio r<\/strong>, y se denota por <strong>E<sub>r<\/sub>(a)<\/strong> o <strong>E(a,r)<\/strong>, al <strong>intervalo abierto (a-r, a+r).<\/strong><\/p>\n<p class=\"actividades_2_v\"><strong>E<sub>r<\/sub>(a) = (a-r, a+r)<\/strong><\/p>\n<p class=\"actividades\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/entornos-1.gif\" alt=\"Explicaciones y ejemplos de entornos - 1\"  ><\/p>\n<p class=\"\">Los entornos se expresan con ayuda del valor absoluto.<\/p>\n<p class=\"\"><strong>E<sub>r<\/sub>(0) = (-r, r)<\/strong> se expresa tambi&eacute;n <strong>|x| &lt; r<\/strong>, o bien, <strong>-r &lt; x &lt; r<\/strong>.<\/p>\n<p class=\"\"><strong>E<sub>r<\/sub>(a) = (a-r, a+r)<\/strong> se expresa tambi&eacute;n <strong>|x-a| &lt; r<\/strong>, o bien, a <strong>a-r &lt; x &lt; a+r<\/strong>. <\/p>\n<h2 class=\"te\">Entornos laterales:<\/h2>\n<p class=\"\">Por la izquierda<\/p>\n<p class=\"actividades_2_v_ir\"><strong>E<sub>r<\/sub>(a<sup>-<\/sup>) = (a-r, a]<\/strong><\/p>\n<p class=\"actividades_2\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/entornos-2.gif\" alt=\"Explicaciones y ejemplos de entornos - 2\"  ><\/p>\n<p class=\"\">Por la derecha <\/p>\n<p class=\"actividades_2_v_ir\"><strong>E<sub>r<\/sub>(a<sup>+<\/sup>) = [a, a+r)<\/strong><\/p>\n<p class=\"actividades_2\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/entornos-3.gif\" alt=\"Explicaciones y ejemplos de entornos - 3\"  ><\/p>\n<h2 class=\"te\">Entorno reducido <\/h2>\n<p class=\"\">Se emplea cuando se quiere saber qu&eacute; pasa en las proximidades del punto, sin que interese lo que ocurre en dicho punto. <\/p>\n<p class=\"actividades_2_v_ir\"><strong>E<sub> r<\/sub><sup>*<\/sup>(a) = { x  <img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/entornos-4.gif\" alt=\"Explicaciones y ejemplos de entornos - 4\" \/> (a-r, a+r), x \u2260 a} <\/strong><\/p>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Se llama entorno de centro a y radio r, y se denota por Er(a) o E(a,r), al intervalo abierto (a-r, a+r). Er(a) = (a-r, a+r) Los entornos se expresan con ayuda del valor absoluto. Er(0) = (-r, r) se expresa tambi&eacute;n |x| &lt; r, o bien, -r &lt; x &lt; r. Er(a) = (a-r, a+r) [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[377],"tags":[375],"class_list":["post-115780","post","type-post","status-publish","format-standard","hentry","category-aritmetica","tag-e"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/aritmetica\" class=\"advgb-post-tax-term\">Aritm\u00e9tica<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">Aritm\u00e9tica<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/aritmetica\" class=\"advgb-post-tax-term\">e<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">e<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 6 a\u00f1os hace","modified":"Actualizado 6 a\u00f1os hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 29 enero 2020"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 21 min","modified":"Actualizado el 29 enero 2020 18 h 21 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/115780","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=115780"}],"version-history":[{"count":0,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/115780\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=115780"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=115780"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=115780"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}