{"id":617,"date":"2017-05-30T07:31:49","date_gmt":"2017-05-30T05:31:49","guid":{"rendered":"http:\/\/theory-of-science.com\/de\/?page_id=617"},"modified":"2021-02-04T16:39:28","modified_gmt":"2021-02-04T15:39:28","slug":"uebung-14-05","status":"publish","type":"page","link":"https:\/\/theory-of-science.com\/de\/uebungen\/abschnitt-14\/uebung-14-05\/","title":{"rendered":"\u00dc14-5: Entfernen eines Fakts"},"content":{"rendered":"\n<p>Seien <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-c100a97d9f0170460e395956623261ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -5px;\"\/> und <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-1c4407a45726986c9a7e5f08ba1b690a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: -4px;\"\/> Relationen aus einer Faktensammlung <em>z<\/em> =&nbsp;\u2329 { <em>a<\/em><sub>1<\/sub>, <em>a<\/em><sub>2<\/sub>, <em>c<\/em><sub>1<\/sub>, <em>d<\/em><sub>2<\/sub>,&nbsp; <em>d<\/em><sub>3<\/sub>, &#8230; }, { <em>b<\/em><sub>1<\/sub>, <em>b<\/em><sub>2<\/sub>, &#8230; }, &#8230;, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-c100a97d9f0170460e395956623261ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -5px;\"\/>, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-1c4407a45726986c9a7e5f08ba1b690a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: -4px;\"\/>, &#8230;\u232a<br>und die Sachverhalte aus&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-c100a97d9f0170460e395956623261ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -5px;\"\/> und&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-1c4407a45726986c9a7e5f08ba1b690a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: -4px;\"\/> stellen sich wie folgt dar:<br><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-c100a97d9f0170460e395956623261ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -5px;\"\/>&nbsp;= { &nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-c100a97d9f0170460e395956623261ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -5px;\"\/> ( <em>a<\/em><sub>1<\/sub>, <em>b<\/em><sub>1<\/sub> ), &nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-c100a97d9f0170460e395956623261ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -5px;\"\/> ( <em>a<\/em><sub>1<\/sub>, <em>b<\/em><sub>2<\/sub> ), &nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-c100a97d9f0170460e395956623261ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -5px;\"\/> ( <em>a<\/em><sub>2<\/sub>, <em>b<\/em><sub>1<\/sub> ), &nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-c100a97d9f0170460e395956623261ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -5px;\"\/> ( <em>a<\/em><sub>2<\/sub>, <em>b<\/em><sub>2<\/sub> ), &#8230; },<br><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-1c4407a45726986c9a7e5f08ba1b690a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: -4px;\"\/>&nbsp;= {&nbsp; <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-1c4407a45726986c9a7e5f08ba1b690a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: -4px;\"\/>( <em>c<\/em><sub>1<\/sub>, <em>a<\/em><sub>1<\/sub> ), <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-1c4407a45726986c9a7e5f08ba1b690a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: -4px;\"\/>( <em>a<\/em><sub>1<\/sub>, <em>d<\/em><sub>2<\/sub> ), <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-c100a97d9f0170460e395956623261ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -5px;\"\/> ( <em>a<\/em><sub>2<\/sub>, <em>d<\/em><sub>3<\/sub> ), <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-c100a97d9f0170460e395956623261ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -5px;\"\/> ( <em>c<\/em><sub>2<\/sub>, <em>a<\/em><sub>1<\/sub> ), &#8230; }.<\/p>\n\n\n\n<p><strong>a)<\/strong> Entfernen Sie aus der Faktensammlung <em>z<\/em> das Faktum a<sub>1<\/sub>. Wie sieht die neue Faktensammlung genau aus?<\/p>\n\n\n\n<p><strong>b)<\/strong> Wie sieht die ver\u00e4nderte Relation&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/theory-of-science.com\/de\/wp-content\/ql-cache\/quicklatex.com-1c4407a45726986c9a7e5f08ba1b690a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#82;&#94;&#42;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: -4px;\"\/> aus, wenn Sie in <em>z<\/em> das Faktum a<sub>2<\/sub> entfernen?<br><\/p>\n\n\n<ul class=\"nav nav-pills nav-justified\">\n<li><a href=\"https:\/\/theory-of-science.com\/de\/uebungen\/abschnitt-14\/uebung-14-04\/\">&lt;&lt;&lt;<\/a><\/li>\n<li><a href=\"https:\/\/theory-of-science.com\/de\/uebungen\/abschnitt-14\/uebung-14-06\/\">&gt;&gt;&gt;<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Seien und Relationen aus einer Faktensammlung z =&nbsp;\u2329 { a1, a2, c1, d2,&nbsp; d3, &#8230; }, { b1, b2, &#8230; }, &#8230;, , , &#8230;\u232aund die Sachverhalte aus&nbsp; und&nbsp; stellen sich wie folgt dar:&nbsp;= { &nbsp; ( a1, b1 ), &nbsp; ( a1, b2 ), &nbsp; ( a2, b1 ), &nbsp; ( a2, b2 ), [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":73,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"page-fullwidth.php","meta":{"footnotes":""},"class_list":["post-617","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/pages\/617","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/comments?post=617"}],"version-history":[{"count":10,"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/pages\/617\/revisions"}],"predecessor-version":[{"id":4475,"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/pages\/617\/revisions\/4475"}],"up":[{"embeddable":true,"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/pages\/73"}],"wp:attachment":[{"href":"https:\/\/theory-of-science.com\/de\/wp-json\/wp\/v2\/media?parent=617"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}