Límite http://prometeo.matem.unam.mx/repositorio/ es Definición formal del límite para Funciones Continuas http://prometeo.matem.unam.mx/repositorio/node/2052 <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--title--recurso-indexado.html.twig x field--node--title.html.twig * field--node--recurso-indexado.html.twig * field--title.html.twig * field--string.html.twig * field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field--node--title.html.twig' --> <span class="field field--name-title field--type-string field--label-hidden">Definición formal del límite para Funciones Continuas</span> <!-- END OUTPUT from 'core/themes/classy/templates/field/field--node--title.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'vud_widget' --> <!-- BEGIN OUTPUT from 'modules/vote_up_down/templates/vud-widget.html.twig' --> <div class="vud-widget vud-widget-heart_alternate"> <a id="" rel="nofollow" data-count="40" class="up inactive button-icon button-icon-count " href="/repositorio/vote/node/2052/1" title="Me gusta" > <span class="element-invisible"> Me gusta </span> </a> </div> <!-- END OUTPUT from 'modules/vote_up_down/templates/vud-widget.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--uid--recurso-indexado.html.twig x field--node--uid.html.twig * field--node--recurso-indexado.html.twig * field--uid.html.twig * field--entity-reference.html.twig * field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field--node--uid.html.twig' --> <span class="field field--name-uid field--type-entity-reference field--label-hidden"> <!-- THEME DEBUG --> <!-- THEME HOOK: 'username' --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/user/username.html.twig' --> <span lang="" about="/repositorio/user/20" typeof="schema:Person" property="schema:name" datatype="">jlongi</span> <!-- END OUTPUT from 'core/themes/classy/templates/user/username.html.twig' --> </span> <!-- END OUTPUT from 'core/themes/classy/templates/field/field--node--uid.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--created--recurso-indexado.html.twig x field--node--created.html.twig * field--node--recurso-indexado.html.twig * field--created.html.twig * field--created.html.twig * field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field--node--created.html.twig' --> <span class="field field--name-created field--type-created field--label-hidden">Vie, 11/05/2021 - 12:56</span> <!-- END OUTPUT from 'core/themes/classy/templates/field/field--node--created.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--field-download-counter--recurso-indexado.html.twig * field--node--field-download-counter.html.twig * field--node--recurso-indexado.html.twig * field--field-download-counter.html.twig * field--integer.html.twig x field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <div content="88" class="field field--name-field-download-counter field--type-integer field--label-hidden field__item">88descargas</div> <!-- END OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--field-preview--recurso-indexado.html.twig * field--node--field-preview.html.twig * field--node--recurso-indexado.html.twig * field--field-preview.html.twig * field--image.html.twig x field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <div class="field field--name-field-preview field--type-image field--label-hidden field__items"> <div class="field__item"> <!-- THEME DEBUG --> <!-- THEME HOOK: 'image_formatter' --> <!-- BEGIN OUTPUT from 'themes/prometeo_david/templates/field/image-formatter.html.twig' --> <a href="/repositorio/node/2052" width="" height=""> <!-- THEME DEBUG --> <!-- THEME HOOK: 'image' --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/image.html.twig' --> <img width="" height="" src="/repositorio/sites/default/files/recursos/importados//imported/2032/_Un_102_DefinicionFormalDeLimite_FuncionesContinuas.zip_icono.svg" alt="Logo Definición formal del límite para Funciones Continuas" typeof="foaf:Image" /> <!-- END OUTPUT from 'core/themes/classy/templates/field/image.html.twig' --> </a> <!-- END OUTPUT from 'themes/prometeo_david/templates/field/image-formatter.html.twig' --> </div> <div class="field__item"> <!-- THEME DEBUG --> <!-- THEME HOOK: 'image_formatter' --> <!-- BEGIN OUTPUT from 'themes/prometeo_david/templates/field/image-formatter.html.twig' --> <a href="/repositorio/node/2052"> <!-- THEME DEBUG --> <!-- THEME HOOK: 'image' --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/image.html.twig' --> <img src="/repositorio/sites/default/files/recursos/importados//imported/2032/_Un_102_DefinicionFormalDeLimite_FuncionesContinuas.zip_icono01.png" width="881" height="575" alt="Logo Definición formal del límite para Funciones Continuas" typeof="foaf:Image" /> <!-- END OUTPUT from 'core/themes/classy/templates/field/image.html.twig' --> </a> <!-- END OUTPUT from 'themes/prometeo_david/templates/field/image-formatter.html.twig' --> </div> <div class="field__item"> <!-- THEME DEBUG --> <!-- THEME HOOK: 'image_formatter' --> <!-- BEGIN OUTPUT from 'themes/prometeo_david/templates/field/image-formatter.html.twig' --> <a href="/repositorio/node/2052"> <!-- THEME DEBUG --> <!-- THEME HOOK: 'image' --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/image.html.twig' --> <img src="/repositorio/sites/default/files/recursos/importados//imported/2032/_Un_102_DefinicionFormalDeLimite_FuncionesContinuas.zip_icono02.png" width="881" height="575" alt="Logo Definición formal del límite para Funciones Continuas" typeof="foaf:Image" /> <!-- END OUTPUT from 'core/themes/classy/templates/field/image.html.twig' --> </a> <!-- END OUTPUT from 'themes/prometeo_david/templates/field/image-formatter.html.twig' --> </div> </div> <!-- END OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--body--recurso-indexado.html.twig * field--node--body.html.twig * field--node--recurso-indexado.html.twig * field--body.html.twig x field--text-with-summary.html.twig * field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field--text-with-summary.html.twig' --> <div class="clearfix text-formatted field field--name-body field--type-text-with-summary field--label-hidden field__item"><p>Presentación de la definición formal de límite. En esta unidad se presenta al alumno la definición formal del límite y su representación geométrica para funciones continuas, con la finalidad de que desarrolle una idea clara del significado de esta definición.</p></div> <!-- END OUTPUT from 'core/themes/classy/templates/field/field--text-with-summary.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--field-proyecto--recurso-indexado.html.twig * field--node--field-proyecto.html.twig * field--node--recurso-indexado.html.twig * field--field-proyecto.html.twig * field--entity-reference.html.twig x field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <div class="field field--name-field-proyecto field--type-entity-reference field--label-inline clearfix"> <div class="field__label">Proyecto</div> <div class="field__item"><a href="/repositorio/node/2032" hreflang="es">Adaptación de unidades didácticas interactivas para su funcionamiento en celulares</a></div> </div> <!-- END OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--field-tags--recurso-indexado.html.twig * field--node--field-tags.html.twig * field--node--recurso-indexado.html.twig * field--field-tags.html.twig * field--entity-reference.html.twig x field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <div class="field field--name-field-tags field--type-entity-reference field--label-inline clearfix"> <div class="field__label">Palabras clave</div> <div class="field__items"> <div class="field__item"><a href="/repositorio/taxonomy/term/1104" hreflang="es">Función continua</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1086" hreflang="es">Límite</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1105" hreflang="es">Imagen</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1106" hreflang="es">Dominio</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/230" hreflang="es">Desigualdad</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1107" hreflang="es">Valor absoluto</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1108" hreflang="es">Epsilon</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1109" hreflang="es">Delta</a></div> </div> </div> <!-- END OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--field-zipfile-url--recurso-indexado.html.twig * field--node--field-zipfile-url.html.twig * field--node--recurso-indexado.html.twig * field--field-zipfile-url.html.twig * field--link.html.twig x field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <div class="field field--name-field-zipfile-url field--type-link field--label-above"> <div class="field__label">Archivo zip</div> <div class="field__item"><a href="http://prometeo.matem.unam.mx/recursos/Licenciatura/UNADM_Adapt/_Un_102_DefinicionFormalDeLimite_FuncionesContinuas.zip">_Un_102_DefinicionFormalDeLimite_FuncionesContinuas.zip</a></div> </div> <!-- END OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> Fri, 05 Nov 2021 17:56:10 +0000 jlongi 2052 at http://prometeo.matem.unam.mx/repositorio Definición formal de Límite y Funciones no Continuas http://prometeo.matem.unam.mx/repositorio/node/2047 <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--title--recurso-indexado.html.twig x field--node--title.html.twig * field--node--recurso-indexado.html.twig * field--title.html.twig * field--string.html.twig * field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field--node--title.html.twig' --> <span class="field field--name-title field--type-string field--label-hidden">Definición formal de Límite y Funciones no Continuas</span> <!-- END OUTPUT from 'core/themes/classy/templates/field/field--node--title.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'vud_widget' --> <!-- BEGIN OUTPUT from 'modules/vote_up_down/templates/vud-widget.html.twig' --> <div class="vud-widget vud-widget-heart_alternate"> <a id="" rel="nofollow" data-count="48" class="up inactive button-icon button-icon-count " href="/repositorio/vote/node/2047/1" title="Me gusta" > <span class="element-invisible"> Me gusta </span> </a> </div> <!-- END OUTPUT from 'modules/vote_up_down/templates/vud-widget.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--uid--recurso-indexado.html.twig x field--node--uid.html.twig * field--node--recurso-indexado.html.twig * field--uid.html.twig * field--entity-reference.html.twig * field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field--node--uid.html.twig' --> <span class="field field--name-uid field--type-entity-reference field--label-hidden"> <!-- THEME DEBUG --> <!-- THEME HOOK: 'username' --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/user/username.html.twig' --> <span lang="" about="/repositorio/user/20" typeof="schema:Person" property="schema:name" datatype="">jlongi</span> <!-- END OUTPUT from 'core/themes/classy/templates/user/username.html.twig' --> </span> <!-- END OUTPUT from 'core/themes/classy/templates/field/field--node--uid.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--created--recurso-indexado.html.twig x field--node--created.html.twig * field--node--recurso-indexado.html.twig * field--created.html.twig * field--created.html.twig * field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field--node--created.html.twig' --> <span class="field field--name-created field--type-created field--label-hidden">Vie, 11/05/2021 - 12:56</span> <!-- END OUTPUT from 'core/themes/classy/templates/field/field--node--created.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--field-download-counter--recurso-indexado.html.twig * field--node--field-download-counter.html.twig * field--node--recurso-indexado.html.twig * field--field-download-counter.html.twig * field--integer.html.twig x field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <div content="50" class="field field--name-field-download-counter field--type-integer field--label-hidden field__item">50descargas</div> <!-- END OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--field-preview--recurso-indexado.html.twig * field--node--field-preview.html.twig * field--node--recurso-indexado.html.twig * field--field-preview.html.twig * field--image.html.twig x field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <div class="field field--name-field-preview field--type-image field--label-hidden field__items"> <div class="field__item"> <!-- THEME DEBUG --> <!-- THEME HOOK: 'image_formatter' --> <!-- BEGIN OUTPUT from 'themes/prometeo_david/templates/field/image-formatter.html.twig' --> <a href="/repositorio/node/2047" width="" height=""> <!-- THEME DEBUG --> <!-- THEME HOOK: 'image' --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/image.html.twig' --> <img width="" height="" src="/repositorio/sites/default/files/recursos/importados//imported/2032/_Un_109_DefinicionFormalDeLimite_FuncionesNoContinuas.zip_icono.svg" alt="Logo Definición formal de Límite y Funciones no Continuas" typeof="foaf:Image" /> <!-- END OUTPUT from 'core/themes/classy/templates/field/image.html.twig' --> </a> <!-- END OUTPUT from 'themes/prometeo_david/templates/field/image-formatter.html.twig' --> </div> <div class="field__item"> <!-- THEME DEBUG --> <!-- THEME HOOK: 'image_formatter' --> <!-- BEGIN OUTPUT from 'themes/prometeo_david/templates/field/image-formatter.html.twig' --> <a href="/repositorio/node/2047"> <!-- THEME DEBUG --> <!-- THEME HOOK: 'image' --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/image.html.twig' --> <img src="/repositorio/sites/default/files/recursos/importados//imported/2032/_Un_109_DefinicionFormalDeLimite_FuncionesNoContinuas.zip_icono01.png" width="980" height="636" alt="Logo Definición formal de Límite y Funciones no Continuas" typeof="foaf:Image" /> <!-- END OUTPUT from 'core/themes/classy/templates/field/image.html.twig' --> </a> <!-- END OUTPUT from 'themes/prometeo_david/templates/field/image-formatter.html.twig' --> </div> <div class="field__item"> <!-- THEME DEBUG --> <!-- THEME HOOK: 'image_formatter' --> <!-- BEGIN OUTPUT from 'themes/prometeo_david/templates/field/image-formatter.html.twig' --> <a href="/repositorio/node/2047"> <!-- THEME DEBUG --> <!-- THEME HOOK: 'image' --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/image.html.twig' --> <img src="/repositorio/sites/default/files/recursos/importados//imported/2032/_Un_109_DefinicionFormalDeLimite_FuncionesNoContinuas.zip_icono02.png" width="980" height="638" alt="Logo Definición formal de Límite y Funciones no Continuas" typeof="foaf:Image" /> <!-- END OUTPUT from 'core/themes/classy/templates/field/image.html.twig' --> </a> <!-- END OUTPUT from 'themes/prometeo_david/templates/field/image-formatter.html.twig' --> </div> </div> <!-- END OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--body--recurso-indexado.html.twig * field--node--body.html.twig * field--node--recurso-indexado.html.twig * field--body.html.twig x field--text-with-summary.html.twig * field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field--text-with-summary.html.twig' --> <div class="clearfix text-formatted field field--name-body field--type-text-with-summary field--label-hidden field__item"><p>Funciones discontinuas. Sus tipos y propiedades y su relación con el límite. La definición de función continua está necesariamente ligada con el concepto de límite. Cuando una función no es continua, ¿qué pasa con el límite de la función en un punto donde dicha función no está definida? En esta unidad estudiamos los casos de funciones que son discontinuas a partir de que alguna de las hipótesis de la definición de función continua no se cumpla.</p></div> <!-- END OUTPUT from 'core/themes/classy/templates/field/field--text-with-summary.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--field-proyecto--recurso-indexado.html.twig * field--node--field-proyecto.html.twig * field--node--recurso-indexado.html.twig * field--field-proyecto.html.twig * field--entity-reference.html.twig x field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <div class="field field--name-field-proyecto field--type-entity-reference field--label-inline clearfix"> <div class="field__label">Proyecto</div> <div class="field__item"><a href="/repositorio/node/2032" hreflang="es">Adaptación de unidades didácticas interactivas para su funcionamiento en celulares</a></div> </div> <!-- END OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--field-tags--recurso-indexado.html.twig * field--node--field-tags.html.twig * field--node--recurso-indexado.html.twig * field--field-tags.html.twig * field--entity-reference.html.twig x field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <div class="field field--name-field-tags field--type-entity-reference field--label-inline clearfix"> <div class="field__label">Palabras clave</div> <div class="field__items"> <div class="field__item"><a href="/repositorio/taxonomy/term/1084" hreflang="es">Función no continua</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1085" hreflang="es">Discontinuidad</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1086" hreflang="es">Límite</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1087" hreflang="es">Límite lateral</a></div> </div> </div> <!-- END OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <!-- THEME DEBUG --> <!-- THEME HOOK: 'field' --> <!-- FILE NAME SUGGESTIONS: * field--node--field-zipfile-url--recurso-indexado.html.twig * field--node--field-zipfile-url.html.twig * field--node--recurso-indexado.html.twig * field--field-zipfile-url.html.twig * field--link.html.twig x field.html.twig --> <!-- BEGIN OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> <div class="field field--name-field-zipfile-url field--type-link field--label-above"> <div class="field__label">Archivo zip</div> <div class="field__item"><a href="http://prometeo.matem.unam.mx/recursos/Licenciatura/UNADM_Adapt/_Un_109_DefinicionFormalDeLimite_FuncionesNoContinuas.zip">_Un_109_DefinicionFormalDeLimite_FuncionesNoContinuas.zip</a></div> </div> <!-- END OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> Fri, 05 Nov 2021 17:56:10 +0000 jlongi 2047 at http://prometeo.matem.unam.mx/repositorio