{"id":3171,"date":"2011-02-08T05:07:47","date_gmt":"2011-02-08T04:07:47","guid":{"rendered":"http:\/\/www.walkingrandomly.com\/?p=3171"},"modified":"2011-02-08T05:07:47","modified_gmt":"2011-02-08T04:07:47","slug":"carnival-of-mathematics-74-the-tungsten-edition","status":"publish","type":"post","link":"https:\/\/walkingrandomly.com\/?p=3171","title":{"rendered":"Carnival of Mathematics #74 &#8211; The Tungsten Edition"},"content":{"rendered":"<p>Welcome to the slightly delayed Carnival of Mathematics #74 &#8211; Tungsten Edition.\u00a0 In a departure from COM tradition, this edition is on the same blog as <a href=\"https:\/\/www.walkingrandomly.com\/?p=3024\">the last edition<\/a> due to a lack of hosting volunteers.\u00a0 Fortunately, however, the volunteers are starting to turn up and so this is the last month that you&#8217;ll have to put up with me for a while.\u00a0 Next month will see the carnival hosted by Daniel over at <a href=\"http:\/\/danielcolquitt.wordpress.com\/\">General Musings<\/a> and April will be taken care of by <a href=\"http:\/\/acmescience.com\/\">AcmeScience<\/a> (thanks peeps!).\u00a0 The rest of the year is up for grabs so if you&#8217;d like to host a future carnival then <a href=\"https:\/\/www.walkingrandomly.com\/?page_id=2055\">contact me<\/a> and we&#8217;ll work something out.<\/p>\n<p>One tradition that I&#8217;m not about to give up on, however, is the number trivia section.\u00a0 So, let&#8217;s see what 74 has for us.\u00a0 In stark contrast to 73, the Chuck Norris of Numbers, 74 doesn&#8217;t seem to have much going for it.\u00a0 It&#8217;s probably overweight for a start since it is the 3rd <a href=\"http:\/\/www.tanyakhovanova.com\/Numbers\/numbers.html#hungry\">hungry number<\/a> (hungry because it tries to eat as much Pi as possible).\u00a0 Other than that it is <a href=\"http:\/\/oeis.org\/A000069\">odious<\/a>, <a href=\"http:\/\/oeis.org\/A001358\">semiprime<\/a> and altogether rather dull!<\/p>\n<p>Enough of the trivia and on with the show.<\/p>\n<p>First up we have a post from Datavisualization.ch which shows a set of <a href=\"http:\/\/datavisualization.ch\/showcases\/inspirational-vintage-infographics\">infographics from around 150 years ago<\/a>.\u00a0 Much of this work is rather beautiful and demonstrates that the field of infographics is much older than you might think.<\/p>\n<p style=\"text-align: left;\"><a href=\"http:\/\/datavisualization.ch\/showcases\/inspirational-vintage-infographics\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/www.walkingrandomly.com\/images\/carnival\/time_table.png\" alt=\"Time Table\" \/><\/a>For a rather more modern take on statistics and infographics I highly recommend the UK BBC Four TV documentary, The Joy of Stats.\u00a0 This was a one off show broadcast in late 2010 and hosted by Hans Rosling (Also the star of <a href=\"http:\/\/www.ted.com\/talks\/hans_rosling_shows_the_best_stats_you_ve_ever_seen.html\">a brilliant TED talk<\/a>).\u00a0 Several <a href=\"http:\/\/www.open.ac.uk\/openlearn\/whats-on\/the-joy-stats\">clips of the show<\/a> are available over at The Open University and it was recently mentioned by <a href=\"http:\/\/rsscse.co.uk\/newsandfeatures\/rsscse-news\/335-joyofstats\">The Royal Statistical Society<\/a>.<\/p>\n<p style=\"text-align: left;\">From statistics and onto the theory of numbers with a post by <a href=\"http:\/\/scienceblogs.com\/builtonfacts\/2011\/01\/sunday_function_81.php\">Matt Springer called &#8216;Sunday Function&#8217;<\/a>.\u00a0 In this post, Matt demonstrates a wonderfully simple proof concerning fractions which have terminating decimal expansions.\u00a0 It turns out that it just happened to be a Sunday morning when I read this delightful little post over coffee and it set me up for the day.<\/p>\n<p style=\"text-align: left;\">Number theory has been big news in the mathematical world recently thanks to some work by Ken Ono and colleagues who have found a finite, algebraic formula for <a href=\"http:\/\/en.wikipedia.org\/wiki\/Partition_%28number_theory%29\">partition numbers<\/a>.\u00a0 The original papers can be found at <a href=\"http:\/\/www.aimath.org\/news\/partition\/\">http:\/\/www.aimath.org\/news\/partition\/<\/a> (thanks to everyone on twitter who sent me that) and there has been discussion all over the web including at <a href=\"http:\/\/www.wired.com\/wiredscience\/2011\/01\/partition-numbers-fractals\/\">Wired.com<\/a> and <a href=\"http:\/\/blogs.plos.org\/badphysics\/2011\/01\/20\/ono\/\">The Language of Bad Physics<\/a>.\u00a0 Emory University (where Ken works) have <a href=\"http:\/\/www.gs.emory.edu\/blog.php?entity_id=1025\">a press-release <\/a>but the best resource I&#8217;ve found so far is an informal talk by the man himself at YouTube (see below).<\/p>\n<p><object classid=\"clsid:d27cdb6e-ae6d-11cf-96b8-444553540000\" width=\"640\" height=\"385\" codebase=\"http:\/\/download.macromedia.com\/pub\/shockwave\/cabs\/flash\/swflash.cab#version=6,0,40,0\"><param name=\"allowFullScreen\" value=\"true\" \/><param name=\"allowscriptaccess\" value=\"always\" \/><param name=\"src\" value=\"http:\/\/www.youtube.com\/v\/aj4FozCSg8g?fs=1&amp;hl=en_GB\" \/><param name=\"allowfullscreen\" value=\"true\" \/><\/object><\/p>\n<p>One of my biggest personal interests is mathematical software and so my contribution to this month&#8217;s carnival is <a href=\"https:\/\/www.walkingrandomly.com\/?p=3173\">a round-up of mathematical software news for January<\/a>.\u00a0 January also saw a post from Wolfram Research on how to use some of Mathematica&#8217;s new control theory functions to <a href=\"http:\/\/blog.wolfram.com\/2011\/01\/19\/stabilized-inverted-pendulum\/\">stabilize an inverted pendulum<\/a> which also serves as a nice introduction to some standard control theory techniques.<\/p>\n<p>Another mathematical software article that was brought to my attention last month was a <a href=\"http:\/\/blogs.ptc.com\/bid\/35326\/Integrating-Thinking-adds-Power-to-Mathcad-s-Symbolics\">post from the Mathcad team concerning a very simple looking integral<\/a>.\u00a0 Computers often do symbolic calculus using different techniques to human beings and this is occasionally reflected in the results.\u00a0 Check out the article for the details.<\/p>\n<p>On a lighter note, we have <a href=\"http:\/\/divisbyzero.com\/2011\/01\/15\/music-is-math-ten-songs-about-mathematics\/\">Music is Math: Ten Songs about Mathematics<\/a> from Dave Richeson of &#8216;Division by Zero&#8217; fame.\u00a0 My favourite of the bunch is &#8216;A finite simple Group of Order 2&#8217; (below) which I&#8217;ve some across before.\u00a0 The rest of them, however, are new to me and a lot of fun (and in a couple of cases, quite nice to listen to).<\/p>\n<p><object classid=\"clsid:d27cdb6e-ae6d-11cf-96b8-444553540000\" width=\"425\" height=\"344\" codebase=\"http:\/\/download.macromedia.com\/pub\/shockwave\/cabs\/flash\/swflash.cab#version=6,0,40,0\"><param name=\"data\" value=\"http:\/\/www.youtube.com\/v\/UTby_e4-Rhg&amp;hl=en&amp;fs=1\" \/><param name=\"allowFullScreen\" value=\"true\" \/><param name=\"allowscriptaccess\" value=\"always\" \/><param name=\"src\" value=\"http:\/\/www.youtube.com\/v\/UTby_e4-Rhg&amp;hl=en&amp;fs=1\" \/><param name=\"allowfullscreen\" value=\"true\" \/><\/object><\/p>\n<p>My boss used to be a research mathematician and is something of a pedant (In a good way Chris&#8230;in a good way).\u00a0 It seems that this is a trait he has in common with Peter Rowlett, author of Travels in a mathematical world, who has written a piece called <a href=\"http:\/\/travelsinamathematicalworld.blogspot.com\/2011\/01\/pedantry-on-euler-and-masts.html\">Pedantry on Euler and Masts<\/a> where \ufeff\ufeffhe investigates the facts behind an old Euler story.\u00a0 There&#8217;s also some interesting discussion of the difficulty of presenting maths for the masses.<\/p>\n<p>Whereas I do Random Walking, Sander Huisman does <a href=\"http:\/\/shuisman.com\/?p=370#more-370\">Random Hopping<\/a> and in the process he comes up with some great looking pictures and interesting mathematics.<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/shuisman.com\/?p=370#more-370\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/www.walkingrandomly.com\/images\/carnival\/random_hopping.png\" alt=\"Random Hopping\" \/><\/a><\/p>\n<p>John D. Cook compares the iPhone to the method of least squares in <a href=\"http:\/\/www.johndcook.com\/blog\/2011\/01\/27\/when-it-works-it-works-really-well\/\">When it works, it works really well<\/a>, Ed4All shows us a mental arithmetic short cut for <a href=\"http:\/\/www.ed4all.org\/2011\/01\/squares-ending-in-5-two-digit-numbers.html\">squares ending in five<\/a> and Math-Frolic presents <a href=\"http:\/\/math-frolic.blogspot.com\/2011\/01\/seemingly-impossible-task-that-isnt.html\">A Seemingly Impossible Task, That Isn&#8217;t<\/a>.<\/p>\n<p>Last but by no means least, Guillermo Bautista, organiser of the <a href=\"http:\/\/blogcarnival.com\/bc\/submit_10335.html\">Math and Multimedia blog carnival<\/a>, gives us an <a href=\"http:\/\/math4allages.wordpress.com\/2010\/12\/29\/introduction-to-similarity\/\">introduction to similarity<\/a> while Alasdair&#8217;s Musings brings us <a href=\"http:\/\/amca01.wordpress.com\/2011\/01\/10\/a-cute-result-relating-to-sums-of-cubes\/\">A cute result relating to sums of cubes<\/a>.<\/p>\n<ul>\n<li><strong>Follow the Carnival of Math on Twitter: <a href=\"http:\/\/twitter.com\/#%21\/carnivalofmath\">@Carnivalofmath<\/a><\/strong><\/li>\n<li><strong>Learn more about Math Carnivals: <a href=\"https:\/\/www.walkingrandomly.com\/?p=2214\">What is a math carnival?<\/a><\/strong><\/li>\n<\/ul>\n<p><strong><br \/>\n<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Welcome to the slightly delayed Carnival of Mathematics #74 &#8211; Tungsten Edition.\u00a0 In a departure from COM tradition, this edition is on the same blog as the last edition due to a lack of hosting volunteers.\u00a0 Fortunately, however, the volunteers are starting to turn up and so this is the last month that you&#8217;ll have [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[37,6],"tags":[],"class_list":["post-3171","post","type-post","status-publish","format-standard","hentry","category-carnival-of-math","category-general-math"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3swhs-P9","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/3171","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3171"}],"version-history":[{"count":18,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/3171\/revisions"}],"predecessor-version":[{"id":3204,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/3171\/revisions\/3204"}],"wp:attachment":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3171"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3171"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3171"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}