tag:blogger.com,1999:blog-319433332011-04-21T13:11:08.877-07:00Provides help on learning binomial theorem, vector and scalar, series, partial fraction, laplace theorem, and more.Mohd Shafie Isahttp://www.blogger.com/profile/03174203899233323509noreply@blogger.comBlogger31100tag:blogger.com,1999:blog-31943333.post-1161407872021112882006-10-20T22:16:00.000-07:002006-10-20T22:17:52.213-07:00<a href="http://photos1.blogger.com/blogger/4502/3482/640/103_2141.jpg"><img style="CLEAR: all; FLOAT: left; MARGIN: 0px 10px 10px 0px; CURSOR: hand" alt="" src="http://photos1.blogger.com/blogger/4502/3482/320/103_2141.jpg" border="0" /></a>&nbsp;<a href='http://picasa.google.com/blogger/' target='ext'><img src='http://photos1.blogger.com/pbp.gif' alt='Posted by Picasa' style='border: 0px none ; padding: 0px; background: transparent none repeat scroll 0% 50%; -moz-background-clip: initial; -moz-background-origin: initial; -moz-background-inline-policy: initial;' align='middle' border='0' /></a> <div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/31943333-116140787202111288?l=mathematics-solution.blogspot.com' alt='' /></div>Mohd Shafie Isahttp://www.blogger.com/profile/03174203899233323509noreply@blogger.com0tag:blogger.com,1999:blog-31943333.post-1154599106064876922006-08-03T02:54:00.000-07:002006-08-12T06:43:52.720-07:00<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://photos1.blogger.com/blogger/4502/3482/1600/BINOMIAL%201.jpg"><img style="cursor: pointer;" src="http://photos1.blogger.com/blogger/4502/3482/320/BINOMIAL%201.jpg" alt="" border="0" /></a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/31943333-115459910606487692?l=mathematics-solution.blogspot.com' alt='' /></div>Mohd Shafie Isahttp://www.blogger.com/profile/03174203899233323509noreply@blogger.com0tag:blogger.com,1999:blog-31943333.post-1154425664187278272006-08-01T02:44:00.000-07:002006-10-07T01:19:57.923-07:00<em>Binomial Series<br /></em><em>Introduction<br /></em><em><br /></em>When we expand a power of a binomial expression we get a polynomial which can be considered as a series. It is not an arithmetic or geometric one but there is definitely a pattern.<br />eg.<br /><br /><img src="http://www.acts.tinet.ie/binom/Binomial1.gif" /><br /><br />The same pattern occurs in each row.<br /><img src="http://www.acts.tinet.ie/binom/Binomial2.gif" /><br /><br />1. The expansion or series contains (n+1) terms<br /><br />2. The powers of x (the 1st term ) decrease by 1 in each successive term<br /><br />3. The powers of y (the second term) increase by 1 in each successive term<br /><br />4. The sum of the indices add up to n in each term<div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/31943333-115442566418727827?l=mathematics-solution.blogspot.com' alt='' /></div>Mohd Shafie Isahttp://www.blogger.com/profile/03174203899233323509noreply@blogger.com0