{"id":1435,"date":"2020-07-12T07:01:48","date_gmt":"2020-07-12T07:01:48","guid":{"rendered":"http:\/\/mathe-lernen.net\/?p=1435"},"modified":"2023-06-21T16:30:42","modified_gmt":"2023-06-21T14:30:42","slug":"monte-carlo-methode","status":"publish","type":"post","link":"https:\/\/mathe-lernen.net\/?p=1435","title":{"rendered":"Monte Carlo Methode"},"content":{"rendered":"\n<p class=\"has-background\" style=\"background-color:#c9ebec\">L\u00e4sst man einen Stift zuf\u00e4llig auf eine Fl\u00e4che fallen und z\u00e4hlt die Punkte im Quadrat (A = a\u00b2) und im Kreis (A= \\(\\pi *r\u00b2 \\) ),<br>so erh\u00e4lt man ein Verh\u00e4ltnis (%) von innen liegenden Punkten und Gesamtzahl der Punkte gleich dem Fl\u00e4chenverh\u00e4ltnis der beiden Figuren. Da das Quadrat hier die Au\u00dfenfl\u00e4che (Gesamtheit) darstellt, gilt seine Fl\u00e4che als 100%.<br><br><strong>Bei dieser Methode wird ausgeschlossen,dass Punkte auch au\u00dferhalb des Quadrates entstehen.<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-preformatted\"><iframe loading=\"lazy\" scrolling=\"no\" title=\"Monte-Carlo method - 2. random throwing\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/wUy2GdGk\/width\/807\/height\/622\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/false\/rc\/false\/ld\/false\/sdz\/false\/ctl\/false\" width=\"807px\" height=\"622px\" style=\"border:0px;\" allowfullscreen=\"\"> <\/iframe>\n\nAutor:\n<a href=\"https:\/\/www.geogebra.org\/u\/feherz\">Zolt\u00e1n Feh\u00e9r<\/a>, geogebra.org<\/pre>\n<div class=\"pvc_clear\"><\/div><p id=\"pvc_stats_1435\" class=\"pvc_stats all  \" data-element-id=\"1435\" style=\"\"><i class=\"pvc-stats-icon small\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/mathe-lernen.net\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p><div class=\"pvc_clear\"><\/div> ","protected":false},"excerpt":{"rendered":"<p>L\u00e4sst man einen Stift zuf\u00e4llig auf eine Fl\u00e4che fallen und z\u00e4hlt die Punkte im Quadrat (A = a\u00b2) und im Kreis (A= \\(\\pi *r\u00b2 \\) ),so erh\u00e4lt man ein Verh\u00e4ltnis (%) von innen liegenden Punkten und Gesamtzahl der Punkte gleich dem Fl\u00e4chenverh\u00e4ltnis der beiden Figuren. Da das Quadrat hier die Au\u00dfenfl\u00e4che (Gesamtheit) darstellt, gilt seine Fl\u00e4che als 100%. Bei dieser<\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_1435\" class=\"pvc_stats all  \" data-element-id=\"1435\" style=\"\"><i class=\"pvc-stats-icon small\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/mathe-lernen.net\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p>\n<div class=\"pvc_clear\"><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[50],"tags":[816,817,818],"class_list":["post-1435","post","type-post","status-publish","format-standard","hentry","category-stochastik-ii-zufaellige-ereignisse","tag-monte","tag-carlo","tag-methode"],"a3_pvc":{"activated":true,"total_views":428,"today_views":0},"_links":{"self":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1435","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1435"}],"version-history":[{"count":0,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1435\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1435"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1435"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1435"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}