{"id":2482,"date":"2010-08-14T00:30:48","date_gmt":"2010-08-13T19:00:48","guid":{"rendered":"http:\/\/www.jeffrin.in\/?p=2482"},"modified":"2010-08-14T00:30:48","modified_gmt":"2010-08-13T19:00:48","slug":"difference-engine","status":"publish","type":"post","link":"https:\/\/www.trueangle.org\/index.php\/2010\/08\/14\/difference-engine\/","title":{"rendered":"difference engine."},"content":{"rendered":"<p><a href=\"http:\/\/www.trueangle.org\/wp-content\/uploads\/2010\/09\/3b503-differenceengine-2.png\"><img decoding=\"async\" loading=\"lazy\" src=\"http:\/\/www.trueangle.org\/wp-content\/uploads\/2010\/09\/3b503-differenceengine-2.png?w=300\" alt=\"\" title=\"differenceengine\" width=\"300\" height=\"225\" class=\"alignnone size-medium wp-image-2485\" \/><\/a><\/p>\n<pre>\nDifference Engine\nWeierstrass:\nA machine to compute mathematical tables\n\n\u2013\t Any continuous function can be approximated by a\npolynomial\n\u2013\t Any Polynomial can be computed from difference tables\n<\/pre>\n<p>[latex]<br \/>\n\\int{(n)} = n^{2}+n+41 \\\\<br \/>\nd1(n) = \\int{(n)} &#8211; \\int{(n-1)} = 2n \\\\<br \/>\nd2(n) = d1{(n)} &#8211; d1{(n-1)} = 2 \\\\<br \/>\n[\/latex]<br \/>\nMake a Table with the equations.<br \/>\nYou can use Addition and Find the next value of function for a new &#8220;n&#8221;.<\/p>\n<p>source : http:\/\/ocw.mit.edu\/courses\/electrical-engineering-and-computer-science\/6-823-computer-system-architecture-fall-2005\/lecture-notes\/<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Difference Engine Weierstrass: A machine to compute mathematical tables \u2013 Any continuous function can be approximated by a polynomial \u2013 Any Polynomial can be computed from difference tables [latex] \\int{(n)} = n^{2}+n+41 \\\\ d1(n) = \\int{(n)} &#8211; \\int{(n-1)} = 2n \\\\ d2(n) = d1{(n)} &#8211; d1{(n-1)} = 2 \\\\ [\/latex] Make a Table with the &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.trueangle.org\/index.php\/2010\/08\/14\/difference-engine\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;difference engine.&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[528,567],"_links":{"self":[{"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/posts\/2482"}],"collection":[{"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/comments?post=2482"}],"version-history":[{"count":0,"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/posts\/2482\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/media?parent=2482"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/categories?post=2482"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.trueangle.org\/index.php\/wp-json\/wp\/v2\/tags?post=2482"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}