{"id":2413,"date":"2009-04-24T23:38:21","date_gmt":"2009-04-24T15:38:21","guid":{"rendered":"http:\/\/www.intmath.com\/blog\/?p=2413"},"modified":"2016-07-01T09:04:59","modified_gmt":"2016-07-01T01:04:59","slug":"mathematics-carnival-51","status":"publish","type":"post","link":"https:\/\/www.intmath.com\/blog\/mathematics\/mathematics-carnival-51-2413","title":{"rendered":"Mathematics Carnival 51"},"content":{"rendered":"<p>Welcome to the 51st Carnival of Mathematics.<\/p>\n<p>After a not-so-short hiatus (6 weeks ofnugg deadly silence), I'm happy to present <b>Math Carnival #51<\/b>, aka \"The Resurrection Carnival\".<\/p>\n<p>Random bits of trivia about 51 throughout history:<\/p>\n<ul>\n<li>The year 51 (AD, or CE) in the Julian calendar shared one thing in common with today's Carnival &mdash; it's start date was a Friday. <\/li>\n<li>In the Gregorian calendar, 1751 also started on a Friday. <\/li>\n<li>Euler published his theory of logarithms of complex numbers in 1751.<\/li>\n<li>There is no truth to the rumor that this carnival disappeared for some time because the coordinator, Alon Levy, got lost in <a href=\"https:\/\/en.wikipedia.org\/wiki\/Area_51\">Area 51<\/a>.<\/li>\n<\/ul>\n<p>On with the show.   <\/p>\n<h2>Human bodies<\/h2>\n<div class=\"imgRt\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2009\/04\/heart.jpg\" alt=\"heart\" title=\"heart. Source: http:\/\/farm1.static.flickr.com\/52\/132922595_f860a8aa20_m.jpg\" width=\"150\" height=\"119\" \/><\/div>\n<p><b>John Cook<\/b> inspires us to consider some math behind elephants and mice in <a href=\"http:\/\/www.johndcook.com\/blog\/2009\/04\/16\/metabolism-and-power-laws\/\">Metabolism and power laws<\/a>. When not blogging, John works in a cancer clinic.<br \/>\nBlog home: <a href=\"http:\/\/www.johndcook.com\/blog\/\">The Endeavour<\/a>.<\/p>\n<h2>Calculus<\/h2>\n<p>In <a href=\"https:\/\/calciii.wordpress.com\/2009\/04\/15\/aspects-of-a-topic\/\">Aspects Of A Topic<\/a>, <b>Vlorbik on Math Ed<\/b> argues the case for considering the formula for the length of a curve parametrically, rather than the normal asymmetric definition .<br \/>\nBlog home: <a href=\"https:\/\/calciii.wordpress.com\">Community College Calculus<\/a>.<\/p>\n<h2>Beginnings and Endings<\/h2>\n<div style=\"font-size:60px;float:right;width:150px;text-align:center;\">1<\/div>\n<p><a href=\"http:\/\/pballew.blogspot.com\/2009\/04\/benfords-law-one-is-not-lonliest-number.html\">Benford's Law &mdash; One is NOT the Loneliest Number<\/a> has <b>Pat Ballew<\/b> pointing out that the first cardinal number is surprisingly common when describing quantities.<br \/>\nBlog home: <a href=\"http:\/\/pballew.blogspot.com\/\">Pat'sBlog<\/a>.<\/p>\n<p>Inspired by Benford's Law and Pat's article, I did a quick google to see how many search results appeared for various numbers, and came up with:<br \/>\n1: 21,580,000,000<br \/>\n2: 19,990,000,000<br \/>\n3: 15,990,000,000<br \/>\n4: 12,780,000,000<\/p>\n<p>Indeed, the number of results decreases until 9, but there is an upset for 10:<br \/>\n9: 8,200,000,000<br \/>\n10: 12,840,000,000\n<\/p>\n<div style=\"font-size:60px;float:right;width:150px;text-align:center;\">&infin;<\/div>\n<p>And at the other end of the number line, <b>Barry Leiba<\/b> in <a href=\"http:\/\/staringatemptypages.blogspot.com\/2009\/04\/infinity-plus-one.html\">Infinity plus one<\/a> discusses large numbers of hotel guests.<br \/>\nBlog home: <a href=\"http:\/\/staringatemptypages.blogspot.com\/\">Staring At Empty Pages<\/a>.<\/p>\n<h2>Massively Collaborative Mathematics<\/h2>\n<p><b>Jason Dyer<\/b> gives a \"simple as possible\" overview of Timothy Gowers' initiatives in <a href=\"https:\/\/numberwarrior.wordpress.com\/2009\/03\/25\/a-gentle-introduction-to-the-polymath-project\/\">A gentle introduction to the Polymath project<\/a>. The post gives the background to the density Hales-Jewett problem. The line that caught my eye was from Gowers: \"Is massively collaborative mathematics possible?\".<br \/>\nBlog home: <a href=\"https:\/\/numberwarrior.wordpress.com\">The Number Warrior<\/a>.<\/p>\n<h2>Ball Stacking<\/h2>\n<p><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2009\/04\/balls.gif\" alt=\"balls\" title=\"balls\" width=\"150\" height=\"130\" class=\"imgRt\" \/>An interesting coincidence occurred with the following 2 posts. Both talk about stacking spheres in square pyramids, but in quite different contexts. <\/p>\n<p><b>TwoPi<\/b> offers us <a href=\"https:\/\/threesixty360.wordpress.com\/2009\/04\/20\/pascals-pyramid-part-1-of-3\/\">Pascal&rsquo;s Pyramid (part 1 of 3)<\/a>, where he ponders the nature of a three dimensional analogue of the Pascal Triangle.<br \/>\nBlog home: <a href=\"https:\/\/threesixty360.wordpress.com\">360<\/a>.<\/p>\n<p><b>Mike Croucher<\/b> challenges the reader to find the volume of a square pyramid that completely surrounds a stack of cannon balls in <a href=\"http:\/\/www.walkingrandomly.com\/?p=1052\">Problem of the week #6 - Cannonballs<\/a>.<br \/>\nBlog home: <a href=\"http:\/\/www.walkingrandomly.com\">Walking Randomly<\/a>.<\/p>\n<h2>Amicable Numbers<\/h2>\n<p>In an unusual post, <b>Paul Dyson<\/b> shows us what would happen when The Numbers go Social Networking. The links point to nice summaries of the different number types.<\/p>\n<h2>Free Math Downloads<\/h2>\n<p>My contribution to this Math Carnival is the post <a href=\"https:\/\/www.intmath.com\/blog\/mathematics\/free-math-software-downloads-849\">Free math software downloads<\/a>, which may come in handy in these tight economic times.<\/p>\n<h2>Future of the Math Carnival<\/h2>\n<p>I'm not sure where the Carnival goes from here. There seems to have been a slide in interest in recent months.<\/p>\n<p><b>My proposal:<\/b> Why not draw up a schedule so that we host once every (say) 4 months? Would that work, do you think?<\/p>\n<p>That concludes this edition. Goodnight and good luck.<\/p>\n<p class=\"alt\">See the <a href=\"https:\/\/www.intmath.com\/blog\/mathematics\/mathematics-carnival-51-2413#comments\" id=\"comms\">12 Comments<\/a> below.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A collection of interesting posts from the math blogosphere.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mo_disable_npp":""},"categories":[4],"tags":[],"_links":{"self":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/2413"}],"collection":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/comments?post=2413"}],"version-history":[{"count":0,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/2413\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/media?parent=2413"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/categories?post=2413"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/tags?post=2413"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}