Relación idéntica http://prometeo.matem.unam.mx/repositorio/ es Relaciones http://prometeo.matem.unam.mx/repositorio/node/2035 <!-- 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">Relaciones</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="44" class="up inactive button-icon button-icon-count " href="/repositorio/vote/node/2035/1" 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="48" class="field field--name-field-download-counter field--type-integer field--label-hidden field__item">48descargas</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/2035" 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_156_Relaciones.zip_icono.svg" alt="Logo Relaciones" 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/2035"> <!-- 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_156_Relaciones.zip_icono01.png" width="980" height="639" alt="Logo Relaciones" 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/2035"> <!-- 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_156_Relaciones.zip_icono02.png" width="980" height="637" alt="Logo Relaciones" 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>Relaciones, composiciones e identidades, así como propiedades de las relaciones. Se ilustran y definen los conceptos de relación, composición, identidad y asociatividad de relaciones y se definen propiedades básicas de Relaciones: reflexividad, simetría, transitividad. Se ilustra en formas interactiva la representación gráfica de una relación, la composición de relaciones.Se presenta una pequeña reseña de la importancia de las relaciones en numerosos ejemplos, incluyendo la industria, la computación, la vida cotidiana y, por supuesto, las matemáticas.</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/1133" hreflang="es">Relaciones</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1134" hreflang="es">Composición de relaciones</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1135" hreflang="es">Reflexividad</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/957" hreflang="es">Simetría</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1136" hreflang="es">Transitividad</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1131" hreflang="es">Relación idéntica</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1137" hreflang="es">Representación gráfica de relaciones</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_156_Relaciones.zip">_Un_156_Relaciones.zip</a></div> </div> <!-- END OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> Fri, 05 Nov 2021 17:56:10 +0000 jlongi 2035 at http://prometeo.matem.unam.mx/repositorio Relaciones de Equivalencia http://prometeo.matem.unam.mx/repositorio/node/2034 <!-- 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">Relaciones de Equivalencia</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="42" class="up inactive button-icon button-icon-count " href="/repositorio/vote/node/2034/1" 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="52" class="field field--name-field-download-counter field--type-integer field--label-hidden field__item">52descargas</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/2034" 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_157_RelacionesDeEquivalencia.zip_icono.svg" alt="Logo Relaciones de Equivalencia" 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/2034"> <!-- 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_157_RelacionesDeEquivalencia.zip_icono01.png" width="980" height="650" alt="Logo Relaciones de Equivalencia" 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/2034"> <!-- 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_157_RelacionesDeEquivalencia.zip_icono02.png" width="980" height="650" alt="Logo Relaciones de Equivalencia" 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>Análisis de las propiedades de las relaciones de equivalencia mediante interactivos. Se analiza con un modelo interactivo el estudio de las propiedades de relaciones de equivalencia e ilustrarlas con ejemplos. Se presenta una pequeña reseña de la importancia de las Relaciones de Equivalencia en las matemáticas. Se ilustran y definen los conceptos de reflexividad, simetría, transitividad, irreflexividad, antisimetría y relación de equivalencia y se muestra como computarlas en términos de la identidad la relacione inversa y la composición de relaciones. Se ilustra en forma interactiva, con su representación gráfica, la cerradura reflexiva, la cerradura simétrica y la cerradura transitiva de una relación.</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/1127" hreflang="es">Relaciones de Equivalencia</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1128" hreflang="es">Cerradura Reflexiva de una Relación</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1129" hreflang="es">Cerradura Simétrica de una Relación</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1130" hreflang="es">Cerradura Transitiva de una Relación</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1131" hreflang="es">Relación idéntica</a></div> <div class="field__item"><a href="/repositorio/taxonomy/term/1132" hreflang="es">Relación inversa</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_157_RelacionesDeEquivalencia.zip">_Un_157_RelacionesDeEquivalencia.zip</a></div> </div> <!-- END OUTPUT from 'core/themes/classy/templates/field/field.html.twig' --> Fri, 05 Nov 2021 17:56:10 +0000 jlongi 2034 at http://prometeo.matem.unam.mx/repositorio