{"id":46969,"date":"2023-06-22T09:29:54","date_gmt":"2023-06-22T07:29:54","guid":{"rendered":"https:\/\/www.fnm.um.si\/?p=46969"},"modified":"2023-06-22T15:30:58","modified_gmt":"2023-06-22T13:30:58","slug":"23-6-2023-ob-1300-seminar-iz-topologije-william-mance-normal-numbers","status":"publish","type":"post","link":"https:\/\/www.fnm.um.si\/index.php\/2023\/06\/22\/23-6-2023-ob-1300-seminar-iz-topologije-william-mance-normal-numbers\/","title":{"rendered":"23. 6. 2023 ob 13:00 Seminar iz topologije &#8211; William Mance: Normal Numbers"},"content":{"rendered":"<p style=\"text-align: center;\">Oddelek za matematiko in ra\u010dunalni\u0161tvo<br \/>\nFakulteta za naravoslovje in matematiko<br \/>\nUniverza v Mariboru<\/p>\n<p style=\"text-align: center;\">Oddelek za matematiko<br \/>\nIn\u0161titut za matematiko, fiziko in mehaniko<\/p>\n<p style=\"text-align: center;\">V A B I L O<\/p>\n<p style=\"text-align: center;\">Seminar iz topologije svoje delo nadaljuje\u00a0<strong>v petek, 23. 6. 2023, ob 13:00 uri v predavalnici 01\/20<\/strong>.<\/p>\n<p style=\"text-align: center;\">Predaval bo: <strong>William Mance<\/strong><\/p>\n<p style=\"text-align: center;\">Naslov predavanja: <strong>Normal Numbers<\/strong><\/p>\n<p style=\"text-align: center;\">Abstract:<br \/>\nInformally, a real number is normal in base $b$ if in its $b$-ary expansion all digits and blocks of digits occur as often as one would expect them to uniformly at random. Borel introduced normal numbers in 1909 and proved that Lebesgue-almost\u00a0every real number is normal in all bases $b \\geq 2$. Even though this shows that, in some sense, normal numbers are &#8220;typical,&#8221; no\u00a0example of a number normal in all bases was given until 1939 by Turing. In the last 100 years, the study of normal numbers has\u00a0spread over a wide breadth of seemingly unrelated disciplines. Normality is closely related to number theory, ergodic theory,\u00a0theoretical computer science, probability theory, fractal\u00a0geometry, descriptive set theory, and others areas of math. We\u00a0will explore the basic properties of normal numbers and surprising\u00a0connections they have, depending on the interest of the audience<\/p>\n<p style=\"text-align: center;\">Vljudno vabljeni!<br \/>\nIztok Bani\u010d in Tina Sovi\u010d<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Oddelek za matematiko in ra\u010dunalni\u0161tvo Fakulteta za naravoslovje in matematiko Univerza v Mariboru Oddelek za matematiko In\u0161titut za matematiko, fiziko in mehaniko V A B I L O Seminar iz topologije svoje delo nadaljuje\u00a0v petek, 23. 6. 2023, ob 13:00 uri v predavalnici 01\/20. Predaval bo: William Mance Naslov predavanja: Normal Numbers Abstract: Informally, a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[35],"tags":[],"class_list":["post-46969","post","type-post","status-publish","format-standard","hentry","category-prva-stran-dogodki-in-seminarji"],"publishpress_future_action":{"enabled":false,"date":"2026-05-12 01:36:49","action":"category","newStatus":"draft","terms":[],"taxonomy":"category"},"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/posts\/46969","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/comments?post=46969"}],"version-history":[{"count":2,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/posts\/46969\/revisions"}],"predecessor-version":[{"id":47009,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/posts\/46969\/revisions\/47009"}],"wp:attachment":[{"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/media?parent=46969"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/categories?post=46969"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/tags?post=46969"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}