{"id":451,"date":"2011-09-19T14:54:10","date_gmt":"2011-09-19T14:54:10","guid":{"rendered":"http:\/\/blogs.truman.edu\/mathcs\/?p=451"},"modified":"2011-09-19T14:54:10","modified_gmt":"2011-09-19T14:54:10","slug":"math-department-colloquium","status":"publish","type":"post","link":"https:\/\/blogs.truman.edu\/mathcs\/2011\/09\/19\/math-department-colloquium\/","title":{"rendered":"Math Department Colloquium"},"content":{"rendered":"<p>The next Math Colloquium will be held Tuesday, September 20 at 3:30 in VH1224.  David Garth will be speaking on Fractions, Pi, and Quasicrystals.  Refreshments will be provided.<\/p>\n<p>ABSTRACT<\/p>\n<p>A rational number is one that can be expressed as a ratio of two integers.  A real number that is not rational is said to be irrational.  In the field of rational approximation one is interested in approximating an irrational number, like Pi, by a rational number whose denominator is as small as possible.  For example, 22\/7 is a good approximation to Pi, having a single digit denominator that approximates Pi to two decimal digits.  In this talk we will show how to find other such fractions of small denominator that serve to approximate well a given irrational number.  In fact, our method will provide a means for finding all such fractions.  This method has a nice geometric interpretation and will provide an introduction to the theory of continued fractions.  It will also illustrate a surprising application to the study of quasicrystals in solid state physics.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The next Math Colloquium will be held Tuesday, September 20 at 3:30 in VH1224. David Garth will be speaking on Fractions, Pi, and Quasicrystals. Refreshments will be provided. ABSTRACT A rational number is one that can be expressed as a ratio of two integers. A real number that is not rational is said to be [&hellip;]<\/p>\n","protected":false},"author":188,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-451","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Math Department Colloquium - Math &amp; CS<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blogs.truman.edu\/mathcs\/2011\/09\/19\/math-department-colloquium\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Math Department Colloquium - Math &amp; CS\" \/>\n<meta property=\"og:description\" content=\"The next Math Colloquium will be held Tuesday, September 20 at 3:30 in VH1224. 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