{"id":210,"date":"2023-10-11T01:07:35","date_gmt":"2023-10-10T23:07:35","guid":{"rendered":"https:\/\/pdm.pb.edu.pl\/2024\/?page_id=210"},"modified":"2024-10-07T22:53:48","modified_gmt":"2024-10-07T20:53:48","slug":"krzysztof-ciesielski","status":"publish","type":"page","link":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/krzysztof-ciesielski\/","title":{"rendered":"Krzysztof Ciesielski"},"content":{"rendered":"<p><!-- Wyk\u0142ad: <strong>Matematyka wyborcza<\/strong>\n\n<strong>25.10.2023, godz. 11:00 - 11:45, wyk\u0142ad online, wszyscy zainteresowani<\/strong>\n\nW wyborach do Sejmu, do rady miasta, do sejmiku wojew\u00f3dzkiego oddane g\u0142osy przeliczane s\u0105 na mandaty - kilka lub kilkana\u015bcie w danym okr\u0119gu\nwyborczym. Na jakiej zasadzie wykonywane jest to przeliczenie? Czy ordynacja nazywana proporcjonaln\u0105 jest naprawd\u0119 proporcjonalna? Czy\nwybory, w kt\u00f3rych mamy wybra\u0107 jednego spo\u015br\u00f3d kilku kandydat\u00f3w, mo\u017cna organizowa\u0107 tylko na jeden spos\u00f3b? Na wyk\u0142adzie zostanie przedstawiona matematyka ukryta za zasadami metod g\u0142osowania, pokazane mo\u017cliwe efekty stosowania obecnej ordynacji,  rozmaite paradoksy wyborcze, podane  pewne informacje zwi\u0105zane z histori\u0105 powstawania rozmaitych metod wyborczych. Wyk\u0142ad jest czysto matematyczny i nie b\u0119dzie w nim mowy o \u017cadnych konkretnych partiach politycznych.\n\n\n\n<p>&nbsp;<\/p>\n\n --><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"parent":135,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-210","page","type-page","status-publish","hentry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.8 - aioseo.com -->\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/krzysztof-ciesielski\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.8\" \/>\n\t\t<meta property=\"og:locale\" content=\"pl_PL\" \/>\n\t\t<meta property=\"og:site_name\" content=\"PODLASKIE DNI MATEMATYKI 2024 -\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Krzysztof Ciesielski - PODLASKIE DNI MATEMATYKI 2024\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/krzysztof-ciesielski\/\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2023-10-10T23:07:35+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2024-10-07T20:53:48+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n\t\t<meta name=\"twitter:title\" content=\"Krzysztof Ciesielski - PODLASKIE DNI MATEMATYKI 2024\" \/>\n\t\t<script type=\"application\/ld+json\" class=\"aioseo-schema\">\n\t\t\t{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/wykladowcy\\\/krzysztof-ciesielski\\\/#breadcrumblist\",\"itemListElement\":[{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024#listItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/wykladowcy\\\/#listItem\",\"name\":\"Wyk\\u0142adowcy\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/wykladowcy\\\/#listItem\",\"position\":2,\"name\":\"Wyk\\u0142adowcy\",\"item\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/wykladowcy\\\/\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/wykladowcy\\\/krzysztof-ciesielski\\\/#listItem\",\"name\":\"Krzysztof Ciesielski\"},\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024#listItem\",\"name\":\"Home\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/wykladowcy\\\/krzysztof-ciesielski\\\/#listItem\",\"position\":3,\"name\":\"Krzysztof Ciesielski\",\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/wykladowcy\\\/#listItem\",\"name\":\"Wyk\\u0142adowcy\"}}]},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/#organization\",\"name\":\"PODLASKIE DNI MATEMATYKI\",\"url\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/wykladowcy\\\/krzysztof-ciesielski\\\/#webpage\",\"url\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/wykladowcy\\\/krzysztof-ciesielski\\\/\",\"name\":\"Krzysztof Ciesielski - PODLASKIE DNI MATEMATYKI 2024\",\"inLanguage\":\"pl-PL\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/#website\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/wykladowcy\\\/krzysztof-ciesielski\\\/#breadcrumblist\"},\"datePublished\":\"2023-10-11T01:07:35+02:00\",\"dateModified\":\"2024-10-07T22:53:48+02:00\"},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/#website\",\"url\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/\",\"name\":\"PODLASKIE DNI MATEMATYKI\",\"inLanguage\":\"pl-PL\",\"publisher\":{\"@id\":\"https:\\\/\\\/pdm.pb.edu.pl\\\/2024\\\/#organization\"}}]}\n\t\t<\/script>\n\t\t<!-- All in One SEO -->\n\n","aioseo_head_json":{"title":"Krzysztof Ciesielski - PODLASKIE DNI MATEMATYKI 2024","description":"","canonical_url":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/krzysztof-ciesielski\/","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"BreadcrumbList","@id":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/krzysztof-ciesielski\/#breadcrumblist","itemListElement":[{"@type":"ListItem","@id":"https:\/\/pdm.pb.edu.pl\/2024#listItem","position":1,"name":"Home","item":"https:\/\/pdm.pb.edu.pl\/2024","nextItem":{"@type":"ListItem","@id":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/#listItem","name":"Wyk\u0142adowcy"}},{"@type":"ListItem","@id":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/#listItem","position":2,"name":"Wyk\u0142adowcy","item":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/","nextItem":{"@type":"ListItem","@id":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/krzysztof-ciesielski\/#listItem","name":"Krzysztof Ciesielski"},"previousItem":{"@type":"ListItem","@id":"https:\/\/pdm.pb.edu.pl\/2024#listItem","name":"Home"}},{"@type":"ListItem","@id":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/krzysztof-ciesielski\/#listItem","position":3,"name":"Krzysztof Ciesielski","previousItem":{"@type":"ListItem","@id":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/#listItem","name":"Wyk\u0142adowcy"}}]},{"@type":"Organization","@id":"https:\/\/pdm.pb.edu.pl\/2024\/#organization","name":"PODLASKIE DNI MATEMATYKI","url":"https:\/\/pdm.pb.edu.pl\/2024\/"},{"@type":"WebPage","@id":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/krzysztof-ciesielski\/#webpage","url":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/krzysztof-ciesielski\/","name":"Krzysztof Ciesielski - PODLASKIE DNI MATEMATYKI 2024","inLanguage":"pl-PL","isPartOf":{"@id":"https:\/\/pdm.pb.edu.pl\/2024\/#website"},"breadcrumb":{"@id":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/krzysztof-ciesielski\/#breadcrumblist"},"datePublished":"2023-10-11T01:07:35+02:00","dateModified":"2024-10-07T22:53:48+02:00"},{"@type":"WebSite","@id":"https:\/\/pdm.pb.edu.pl\/2024\/#website","url":"https:\/\/pdm.pb.edu.pl\/2024\/","name":"PODLASKIE DNI MATEMATYKI","inLanguage":"pl-PL","publisher":{"@id":"https:\/\/pdm.pb.edu.pl\/2024\/#organization"}}]},"og:locale":"pl_PL","og:site_name":"PODLASKIE DNI MATEMATYKI 2024 -","og:type":"article","og:title":"Krzysztof Ciesielski - PODLASKIE DNI MATEMATYKI 2024","og:url":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/krzysztof-ciesielski\/","article:published_time":"2023-10-10T23:07:35+00:00","article:modified_time":"2024-10-07T20:53:48+00:00","twitter:card":"summary_large_image","twitter:title":"Krzysztof Ciesielski - PODLASKIE DNI MATEMATYKI 2024"},"aioseo_meta_data":{"post_id":"210","title":null,"description":null,"keywords":null,"keyphrases":{"focus":{"keyphrase":"","score":0,"analysis":{"keyphraseInTitle":{"score":0,"maxScore":9,"error":1}}},"additional":[]},"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"default","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":"","og_custom_url":null,"og_article_section":null,"og_article_tags":null,"twitter_use_og":false,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":[]},"graphName":"WebPage","isEnabled":true},"graphs":[]},"schema_type":"default","schema_type_options":null,"pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":"-1","robots_max_videopreview":"-1","robots_max_imagepreview":"large","priority":null,"frequency":"default","local_seo":null,"breadcrumb_settings":null,"limit_modified_date":false,"ai":null,"created":"2023-10-10 23:07:35","updated":"2025-10-05 04:21:00","seo_analyzer_scan_date":null},"aioseo_breadcrumb":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/pdm.pb.edu.pl\/2024\" title=\"Home\">Home<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">&raquo;<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/\" title=\"Wyk\u0142adowcy\">Wyk\u0142adowcy<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">&raquo;<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\tKrzysztof Ciesielski\n\t\t<\/span><\/div>","aioseo_breadcrumb_json":[{"label":"Home","link":"https:\/\/pdm.pb.edu.pl\/2024"},{"label":"Wyk\u0142adowcy","link":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/"},{"label":"Krzysztof Ciesielski","link":"https:\/\/pdm.pb.edu.pl\/2024\/wykladowcy\/krzysztof-ciesielski\/"}],"_links":{"self":[{"href":"https:\/\/pdm.pb.edu.pl\/2024\/wp-json\/wp\/v2\/pages\/210","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pdm.pb.edu.pl\/2024\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/pdm.pb.edu.pl\/2024\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/pdm.pb.edu.pl\/2024\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/pdm.pb.edu.pl\/2024\/wp-json\/wp\/v2\/comments?post=210"}],"version-history":[{"count":8,"href":"https:\/\/pdm.pb.edu.pl\/2024\/wp-json\/wp\/v2\/pages\/210\/revisions"}],"predecessor-version":[{"id":626,"href":"https:\/\/pdm.pb.edu.pl\/2024\/wp-json\/wp\/v2\/pages\/210\/revisions\/626"}],"up":[{"embeddable":true,"href":"https:\/\/pdm.pb.edu.pl\/2024\/wp-json\/wp\/v2\/pages\/135"}],"wp:attachment":[{"href":"https:\/\/pdm.pb.edu.pl\/2024\/wp-json\/wp\/v2\/media?parent=210"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}