{"id":553,"date":"2024-12-14T08:00:00","date_gmt":"2024-12-14T07:00:00","guid":{"rendered":"https:\/\/control-advent.com\/?p=553"},"modified":"2025-11-28T19:05:46","modified_gmt":"2025-11-28T18:05:46","slug":"14-das-platzchengeheimnis-wie-viele-kekse-sind-im-backofen","status":"publish","type":"post","link":"https:\/\/control-advent.com\/?p=553&lang=de","title":{"rendered":"14 &#8211; Das Pl\u00e4tzchengeheimnis: Wie viele Kekse sind im Backofen?"},"content":{"rendered":"\n<p><strong>Autoren dieser Frage:<\/strong> Francesco Dolce &amp; Adriano Fagiolini, <em>Dipartimento di Ingegneria, Mobile &amp; Intelligent Robots Panormus Laboratory (MIRPALab), <\/em>Universit\u00e0 di Palermo, Italien<\/p>\n\n\n\n<p>Der Weihnachtsmann backt mit seinen Wichteln Pl\u00e4tzchen, aber er kann nicht sehen, wie viele Kekse bisher in den Ofen gelegt wurden, weil dieser geschlossen ist und kein Fenster hat, um hindurchzusehen. Am liebsten w\u00fcrde er den Ofen nicht \u00f6ffnen, denn dadurch w\u00fcrde die Temperatur sinken, und es besteht die Gefahr, dass einige Pl\u00e4tzchen nicht richtig gebacken werden. Wie kann der Weihnachtsmann die Anzahl der bereits im Ofen befindlichen Pl\u00e4tzchen sch\u00e4tzen, ohne ihn zu \u00f6ffnen?<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/14-Dec-2024-1024x1024.jpeg\" alt=\"\" class=\"wp-image-428\" srcset=\"https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/14-Dec-2024-1024x1024.jpeg 1024w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/14-Dec-2024-300x300.jpeg 300w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/14-Dec-2024-150x150.jpeg 150w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/14-Dec-2024-768x768.jpeg 768w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/14-Dec-2024-1536x1536.jpeg 1536w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/14-Dec-2024-2048x2048.jpeg 2048w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/14-Dec-2024-640x640.jpeg 640w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/14-Dec-2024-24x24.jpeg 24w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/14-Dec-2024-36x36.jpeg 36w, https:\/\/control-advent.com\/wp-content\/uploads\/2024\/11\/14-Dec-2024-48x48.jpeg 48w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>a. \ud83e\udddd\u200d\u2642\ufe0f\ud83e\udd14\ud83d\udd75\ufe0f\u200d\u2642\ufe0f Einen Wichtel bitten, sich zu erinnern, wie viele Kekse auf den Blechen waren. Schlie\u00dflich ist es unwahrscheinlich, dass sie l\u00fcgen &#8211; sie w\u00fcrden doch nicht heimlich ein oder zwei Kekse essen, wenn niemand hinsieht, oder?<\/p>\n\n\n\n<p>b. \ud83d\udcca\ud83e\udddd\u200d\u2640\ufe0f\ud83c\udf6a Jeden Wichtel bitten, sich zu erinnern, wie viele Kekse auf den Blechen waren und dann einen gewichteten Durchschnitt auf der Grundlage der \u201eVertrauensw\u00fcrdigkeit\u201c jedes Wichtel (eine Kombination aus ihrer F\u00e4higkeit, sich genau an die Zahl zu erinnern, und ihrer Ehrlichkeit, wenn es um Kekse geht) berechnen.<\/p>\n\n\n\n<p>c. \ud83d\udcda\ud83d\udcc8\ud83d\udd22 Historische Daten \u00fcber die durchschnittliche Anzahl von Keksen pro Blech verwenden, um zu sch\u00e4tzen, wie viele Kekse die Wichtel wahrscheinlich auf die Bleche gelegt haben. Was kann schon schiefgehen bei einer kleinen Weihnachtsb\u00e4ckerei &#8211; vor allem, wenn Wichtel beteiligt sind?<\/p>\n\n\n\n<p>d. \ud83e\uddea\ud83d\udd25\ud83d\udcdf Modellieren, wie sich das Einschieben von Keksen auf die Temperatur des Ofens auswirkt und wie schnell sie auf den mit dem Regler eingestellten Sollwert zur\u00fcckkehrt. Dann ein Ger\u00e4t entwickeln, das dieses Modell mit den Temperaturprotokollen des Ofens kombiniert, um herauszufinden, wie viele Kekse die Wichtel hinzugef\u00fcgt haben. Das w\u00e4re eine perfekte Verbindung von Wissenschaft und B\u00e4ckerei!<\/p>\n\n\n\n<p>e. \ud83c\udf6a\ud83c\udf6a\ud83c\udf6a Einfach so viele Kekse wie m\u00f6glich auf das n\u00e4chste Blech legen, damit genug f\u00fcr alle da ist. Schlie\u00dflich ist das Leben zu kurz, um Kekse zu bereuen &#8211; vor allem, wenn die Wichtel drohen zuzuschlagen, wenn die Keksdose leer ist!<\/p>\n\n\n\n<p>f. \ud83e\udd8c\ud83c\udf2c\ufe0f\u2728 Rudolph bitten, die Luft zu schnuppern und anhand des Geruchs zu sch\u00e4tzen, wie viele Kekse im Ofen sind. Es muss einen Grund geben, warum er eine Weihnachtslegende ist, die f\u00fcr seine unglaublichen F\u00e4higkeiten, Kekse zu finden, bekannt ist.<\/p>\n\n\n<div class='bootstrap-yop yop-poll-mc'>\n\t\t\t\t\t\t\t<div class=\"basic-yop-poll-container\" style=\"background-color:#b70004; border:0px; border-style:solid; border-color:#b70004; border-radius:0px; padding:10px 10px;\" data-id=\"19\" data-temp=\"basic\" data-skin=\"minimal\" data-cscheme=\"black\" data-cap=\"0\" data-access=\"wordpress\" data-tid=\"\" data-uid=\"f2101c90a2edf63aed244d84402aa1f7\" data-pid=\"553\" data-resdet=\"percentages\" data-show-results-to=\"\" data-show-results-moment=\"never\" data-show-results-only=\"false\" data-show-message=\"true\" data-show-results-as=\"bar\" data-sort-results-by=\"as-defined\" data-sort-results-rule=\"asc\"data-is-ended=\"0\" data-gdpr=\"no\" data-gdpr-sol=\"consent\" data-css=\".basic-yop-poll-container[data-uid] .basic-vote { text-align: center; }\" data-counter=\"0\" data-load-with=\"1\" data-notification-section=\"top\"><div class=\"row\"><div class=\"col-md-12\"><div class=\"basic-inner\"><div class=\"basic-message hide\" style=\"border-left: 10px solid #008000; 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font-size: 14px; font-weight: normal;\" tabindex=\"0\">d<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 col-md-2\" style=\"padding:0px 0px;\" data-id=\"179\" data-type=\"text\" data-vn=\"0\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[179]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[179]\" name=\"answer[19]\" value=\"179\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">e<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 col-md-2\" style=\"padding:0px 0px;\" data-id=\"224\" data-type=\"text\" data-vn=\"2\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[224]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[224]\" name=\"answer[19]\" value=\"224\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; 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Register here<\/a><\/p><p><a href=\"https:\/\/control-advent.com\/wp-login.php?action=lostpassword\" target=\"_blank\">Forgot password<\/a><\/p><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div>\n\t\t\t\t\t\t<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Autoren dieser Frage: Francesco Dolce &amp; Adriano Fagiolini, Dipartimento di Ingegneria, Mobile &amp; Intelligent Robots Panormus Laboratory (MIRPALab), Universit\u00e0 di Palermo, Italien Der Weihnachtsmann backt mit seinen Wichteln Pl\u00e4tzchen, aber er kann nicht sehen, wie viele Kekse bisher in den &hellip; <span class=\"more-link\"><a href=\"https:\/\/control-advent.com\/?p=553&#038;lang=de\" class=\"readmore\">Continue reading<span class=\"screen-reader-text\">14 &#8211; Das Pl\u00e4tzchengeheimnis: Wie viele Kekse sind im Backofen?<\/span><\/a><\/span><\/p>\n","protected":false},"author":4,"featured_media":428,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[17],"tags":[101],"class_list":["post-553","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-deutsch","tag-2024-de"],"_links":{"self":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/553","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=553"}],"version-history":[{"count":4,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/553\/revisions"}],"predecessor-version":[{"id":1136,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/553\/revisions\/1136"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/media\/428"}],"wp:attachment":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=553"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=553"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=553"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}