<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:georss='http://www.georss.org/georss' xmlns:gd='http://schemas.google.com/g/2005' xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-6448474996796364360</id><updated>2012-02-16T15:42:05.340+05:30</updated><category term='Life'/><category term='Songs'/><category term='Independence'/><category term='Internet'/><category term='Bob Marley'/><category term='maths'/><category term='palindromes'/><category term='Cricket'/><category term='Probability'/><category term='Duckworth-Lewis'/><category term='Lyrics'/><category term='Security'/><category term='Politics'/><title type='text'>My Zone</title><subtitle type='html'></subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://shashindrasri.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default?max-results=100'/><link rel='alternate' type='text/html' href='http://shashindrasri.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>Shashindra Srimal</name><uri>http://www.blogger.com/profile/00275962757916668524</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>13</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>100</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-6448474996796364360.post-3183457080300894758</id><published>2012-02-10T21:45:00.000+05:30</published><updated>2012-02-10T21:46:45.027+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Cricket'/><category scheme='http://www.blogger.com/atom/ns#' term='maths'/><category scheme='http://www.blogger.com/atom/ns#' term='Probability'/><title type='text'>So far they WON all matches,So will they LOSE the next ? ( The Gambler's Fallacy)</title><content type='html'>&lt;div&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;Well they won all the test matches against India. And so far all the matches of the CB series. They are not a very strong team as the previous Australian teams who controlled the world cricket arena for more than dozen years. But recently they have managed to win a fair amount of matches&amp;nbsp;continuously. &amp;nbsp;Although Australia have the home advantage I think all the three teams have a somewhat fair chance of winning a match. The&amp;nbsp;probability&amp;nbsp;of an Australian win may be high but the probability of two consecutive wins will be low. And of course the probability of three&amp;nbsp;continuous&amp;nbsp;wins will be much lower. So Does this mean that Australia have a very high chance of loosing the next game ? or India have a high chance of winning the match on 12th ? or more importantly if Australia win on 12th Sri Lanka have very very high chance of winning the next match against Australia ?&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://1.bp.blogspot.com/-C5JyUtyVsSU/TzUzJ36jKhI/AAAAAAAAAE0/lha-AiiKrSs/s1600/cric.jpg" imageanchor="1"&gt;&lt;span style="font-size: large;"&gt;&lt;img border="0" height="300" src="http://1.bp.blogspot.com/-C5JyUtyVsSU/TzUzJ36jKhI/AAAAAAAAAE0/lha-AiiKrSs/s400/cric.jpg" width="400" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/div&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;&lt;span style="font-size: large;"&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif;"&gt;This leads us to a very interesting fallacy in probability named as the Gambler's fallacy or Monte Carlo fallacy. So its time to think about this fallacy leaving cricket for a moment.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: x-large;"&gt;The Gambler's Fallacy&lt;/span&gt;&lt;/b&gt;&lt;br /&gt;&lt;b&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;The basic idea of the gambler's fallacy is based on the perception we have that a result which we have obtained for a lengthy sequence will change in the next event. If we got 5 or more heads in a row while tossing an unbiased coin most of the time we will expect a tail in the next event. Not only we think but also we may incorrectly derive that the&amp;nbsp;probability&amp;nbsp;of a tail is much higher than 0.5 and reaching to 1.&amp;nbsp;&lt;/span&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;Lets check this using an example. Lets assume we have a&amp;nbsp;&lt;/span&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;fair coin so that the probability of a head or a tail equals 0.5. Lets consider the case where we get 5 consecutive heads. Then the probability will be&amp;nbsp;&lt;/span&gt;&lt;span style="background-color: #660000; font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;&lt;b&gt;0.5^5=0.03125&lt;/b&gt;&lt;/span&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;&amp;nbsp;which is a very rare event. So now consider a situation where we have already got 4 consecutive heads. So the big question is what is the probability of getting another head in the next tossing of the coin ?&amp;nbsp;&lt;/span&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;One may solve the problem in the following way.&lt;/span&gt;&lt;br /&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;Since the probability of getting 5 consecutive heads is 0.03125 the probability of not getting a head is &lt;/span&gt;&lt;span style="background-color: #660000; font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;&lt;b&gt;1-0.03125=0.96875&lt;/b&gt;&lt;/span&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;. So the probabilities of getting a head and getting a tail is respectively 0.03125 and 0.96875. This reasoning highly favors a tail in the next tossing of the coin and this leads to the famous Gambler's Fallacy.&lt;/span&gt;&lt;br /&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; The problem of the above reasoning is that it does not take the independence of each tossing. It may be true that we had 4 consecutive heads so far. But it does not alter the probability of the next event. What has happened so far is simply the past and unlike in some real life scenarios they don't affect the future. There will be no demons or angels from the past events affecting the future when the events are simply independent.&lt;/span&gt;&lt;br /&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; So the probability of getting a head in the next tossing is still 0.5. &amp;nbsp;This confusion is the basic root of the gambler's fallacy. When a same result is observed for a large number of times people tend to think that the opposite will occur in the future. Based on that assumption they will bet on those results.&amp;nbsp;&lt;/span&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;This simple fallacy will lead to many interesting explanations of some events. Also there may be some instances where the gambler's fallacy may not be applied. As an example assumption of independence of events may not be totally correct.&amp;nbsp;&lt;/span&gt;&lt;br /&gt;&lt;span style="font-family: Georgia, 'Times New Roman', serif; font-size: large;"&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp; &amp;nbsp;In the scenario at the&amp;nbsp;beginning&amp;nbsp;the events are not independent. There is a very slight dependence. Due to the consecutive wins they &amp;nbsp;may decide to give an opportunity to a new player or to rest some senior players. Then the Gambler's fallacy will not become a fallacy any more and the other two teams may increase their chance of winning.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6448474996796364360-3183457080300894758?l=shashindrasri.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://shashindrasri.blogspot.com/feeds/3183457080300894758/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://shashindrasri.blogspot.com/2012/02/so-far-they-won-all-matchesso-will-they.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/3183457080300894758'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/3183457080300894758'/><link rel='alternate' type='text/html' href='http://shashindrasri.blogspot.com/2012/02/so-far-they-won-all-matchesso-will-they.html' title='So far they WON all matches,So will they LOSE the next ? ( The Gambler&apos;s Fallacy)'/><author><name>Shashindra Srimal</name><uri>http://www.blogger.com/profile/00275962757916668524</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://1.bp.blogspot.com/-C5JyUtyVsSU/TzUzJ36jKhI/AAAAAAAAAE0/lha-AiiKrSs/s72-c/cric.jpg' height='72' width='72'/><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6448474996796364360.post-5516570195599527436</id><published>2011-12-24T20:30:00.000+05:30</published><updated>2011-12-24T20:58:13.452+05:30</updated><title type='text'>Merry Christmas  and a Happy New Year !</title><content type='html'>It's Christmas.Though now it has become a commercial event, there is something special in every&amp;nbsp;Christmas&amp;nbsp;for me. In the early years of my life it was about the&amp;nbsp;Santa&amp;nbsp;and the presents I received. But the time has passed and now entering the period of my life where I have to&amp;nbsp;give presents to others&amp;nbsp;rather&amp;nbsp;than expecting .Now its the time you see scary&amp;nbsp;Santas in shops trying to sell various items.It's the time where you cant travel in a road even in the off peak hours.It's the time you see discounts everywhere.Anyway beside all the changes still its a time to rejoice.It's a time to enjoy with the family and friends.&lt;br /&gt;&lt;br /&gt;&lt;div style="line-height: 16.75pt; margin-bottom: 6.0pt; margin-left: 0in; margin-right: 0in; margin-top: 4.8pt;"&gt;This carol "Mistletoe and Wine" is a popular single by&lt;span class="apple-converted-space"&gt;&amp;nbsp;&lt;/span&gt;&lt;a href="http://en.wikipedia.org/wiki/Cliff_Richard" style="background-attachment: initial; background-clip: initial; background-color: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;" title="Cliff Richard"&gt;&lt;span style="color: white; text-decoration: none;"&gt;Cliff Richard&lt;/span&gt;&lt;/a&gt;.Written by Jeremy Paul,&lt;span style="color: white;"&gt;&lt;span class="apple-converted-space"&gt;&amp;nbsp;&lt;/span&gt;&lt;a href="http://en.wikipedia.org/wiki/Leslie_Stewart_(writer)" style="background-attachment: initial; background-clip: initial; background-color: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;" title="Leslie Stewart (writer)"&gt;&lt;span style="color: white; text-decoration: none;"&gt;Leslie Stewart&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;span class="apple-converted-space"&gt;&amp;nbsp;&lt;/span&gt;and&lt;span class="apple-converted-space"&gt;&amp;nbsp;&lt;/span&gt;&lt;a href="http://en.wikipedia.org/wiki/Keith_Strachan" style="background-attachment: initial; background-clip: initial; background-color: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;" title="Keith Strachan"&gt;&lt;span style="color: white; text-decoration: none;"&gt;Keith Strachan&lt;/span&gt;&lt;/a&gt;, this was originally performed as part of the musical&lt;span class="apple-converted-space"&gt;&amp;nbsp;&lt;/span&gt;Scraps&lt;span class="apple-converted-space"&gt;&amp;nbsp;which&lt;/span&gt;&amp;nbsp;was based on&lt;span class="apple-converted-space"&gt;&amp;nbsp;&lt;/span&gt;&lt;a href="http://en.wikipedia.org/wiki/Hans_Christian_Andersen" style="background-attachment: initial; background-clip: initial; background-color: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;" title="Hans Christian Andersen"&gt;&lt;span style="color: white; text-decoration: none;"&gt;Hans Christian Andersen&lt;/span&gt;&lt;/a&gt;'s fairytale at the Orange Tree Theatre, Richmond, London in 1976.&lt;o:p&gt;&lt;/o:p&gt;&lt;/div&gt;&lt;br /&gt;&lt;div class="MsoNormal"&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;object class="BLOGGER-youtube-video" classid="clsid:D27CDB6E-AE6D-11cf-96B8-444553540000" codebase="http://download.macromedia.com/pub/shockwave/cabs/flash/swflash.cab#version=6,0,40,0" data-thumbnail-src="http://0.gvt0.com/vi/b7lKKNrXUJg/0.jpg" height="266" style="clear: right; float: right;" width="320"&gt;&lt;param name="movie" value="http://www.youtube.com/v/b7lKKNrXUJg&amp;fs=1&amp;source=uds" /&gt;&lt;param name="bgcolor" value="#FFFFFF" /&gt;&lt;embed width="320" height="266"  src="http://www.youtube.com/v/b7lKKNrXUJg&amp;fs=1&amp;source=uds" type="application/x-shockwave-flash"&gt;&lt;/embed&gt;&lt;/object&gt;&lt;/div&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 115%;"&gt;The child is a King, the Caroller sing,&lt;/span&gt;&lt;span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 115%;"&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;The old is past, there's a new beginning.&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Dreams of Santa, dreams of snow,&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Fingers numb, faces aglow.&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Christmas time, Mistletoe and Wine&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Children singing Christian rhyme&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;With logs on the fire and gifts on the tree&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;A time to rejoice in the good that we see&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;A time for living, a time for believing&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;A time for trusting, not deceiving,&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Love and laughter and joy ever after&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Ours for the taking, just follow the master.&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Christmas time, Mistletoe and Wine&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Children singing Christian rhyme&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;With logs on the fire and gifts in the tree&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;A time to rejoice in the good that we see&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Silent night, holy night&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Its a time for giving, a time for getting,&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;A time for forgiving and for forgetting.&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Christmas is love, Christmas is peace,&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;A time for hating and fighting to cease.&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Christmas time, Mistletoe and Wine&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Children singing Christian rhyme&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;With logs on the fire and gifts on the tree&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;A time to rejoice in the good that we see.&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Christmas time, Mistletoe and Wine&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;Children singing Christian rhyme&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;With logs on the fire and gifts on the tree&lt;/span&gt;&lt;br /&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;A time to rejoice in the good that we see.&lt;/span&gt;&lt;/span&gt;&lt;span style="font-family: 'Times New Roman', serif; font-size: 12pt; line-height: 115%;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;span style="color: red; font-size: large;"&gt;&lt;b&gt;Merry Christmas &amp;nbsp;and a Happy New Year !&lt;/b&gt;&lt;/span&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6448474996796364360-5516570195599527436?l=shashindrasri.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://shashindrasri.blogspot.com/feeds/5516570195599527436/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://shashindrasri.blogspot.com/2011/12/merry-christmas-and-happy-new-year.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/5516570195599527436'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/5516570195599527436'/><link rel='alternate' type='text/html' href='http://shashindrasri.blogspot.com/2011/12/merry-christmas-and-happy-new-year.html' title='Merry Christmas  and a Happy New Year !'/><author><name>Shashindra Srimal</name><uri>http://www.blogger.com/profile/00275962757916668524</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6448474996796364360.post-7944672496348342730</id><published>2011-11-23T16:26:00.000+05:30</published><updated>2011-11-23T16:26:05.600+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Cricket'/><category scheme='http://www.blogger.com/atom/ns#' term='maths'/><category scheme='http://www.blogger.com/atom/ns#' term='Duckworth-Lewis'/><title type='text'>Duckworth-Lewis Method (part 3)</title><content type='html'>&lt;br /&gt;&lt;br /&gt;&lt;ol&gt;&lt;li&gt;&lt;a href="http://shashindrasri.blogspot.com/2010/09/duckworth-lewis-method-part-1.html" target="_blank"&gt;&lt;span class="Apple-style-span" style="color: white; font-family: Verdana, sans-serif; font-size: large;"&gt;Duckworth-Lewis Method (part 1)&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="http://shashindrasri.blogspot.com/2011/09/duckworth-lewis-method-part-2.html" target="_blank"&gt;&lt;span class="Apple-style-span" style="color: white; font-family: Verdana, sans-serif; font-size: large;"&gt;Duckworth-Lewis Method (part 2)&lt;/span&gt;&lt;/a&gt;&lt;/li&gt;&lt;/ol&gt;&lt;br /&gt;&lt;span class="Apple-style-span" style="font-size: large;"&gt;&lt;a href="http://www.espncricinfo.com/db/PICTURES/CMS/129400/129452.jpg"&gt;&lt;img alt="" border="0" height="154" src="http://www.espncricinfo.com/db/PICTURES/CMS/129400/129452.jpg" style="float: right; height: 417px; margin-bottom: 10px; margin-left: 10px; margin-right: 0px; margin-top: 0px; width: 675px;" width="150" /&gt;&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;&lt;span class="Apple-style-span" style="font-size: large;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;&lt;div style="margin-bottom: .0001pt; margin: 0in;"&gt;&lt;span class="Apple-style-span" style="font-family: Verdana, sans-serif; font-size: large;"&gt;After giving&lt;span class="apple-converted-space"&gt;&amp;nbsp;&lt;/span&gt;&lt;a href="http://shashindrasri.blogspot.com/2010/09/duckworth-lewis-method-part-1.html" target="_blank"&gt;&lt;b&gt;&lt;span style="color: white;"&gt;an introduction&amp;nbsp;ofDuckworth-Lewis&lt;/span&gt;&lt;/b&gt;&lt;/a&gt;&lt;span class="apple-converted-space"&gt;&amp;nbsp;&lt;/span&gt;method&amp;nbsp;and&lt;span class="apple-converted-space"&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;&lt;span style="color: white;"&gt;&lt;a href="http://shashindrasri.blogspot.com/2011/09/duckworth-lewis-method-part-2.html" target="_blank"&gt;&lt;span style="color: white;"&gt;some examples of Duckworth-Lewis&lt;/span&gt;&lt;/a&gt;&lt;span class="apple-converted-space"&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;method in the previous posts this post focuses on the &amp;nbsp;Duckworth-Lewis method and some of the previously used methodsin rain affected games.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;&lt;span class="Apple-style-span" style="font-family: Verdana, sans-serif; font-size: large;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="margin-bottom: .0001pt; margin: 0in;"&gt;&lt;span class="Apple-style-span" style="font-family: Verdana, sans-serif; font-size: large;"&gt;Before the invention of this method there have been several othermethods used at the international level to decide the result of a rain affectedmatch.One of them was the run rate based system. The main disadvantage of this method was that the number of wickets fallen was not considered. Thus in this system if ateam has scored 100 runs for the lost of 9 wickets the position of the team isconsidered higher than scoring 90 runs for the loss of 1 wicket.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="margin-bottom: .0001pt; margin: 0in;"&gt;&lt;span class="Apple-style-span" style="font-family: Verdana, sans-serif; font-size: large;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="margin-bottom: .0001pt; margin: 0in;"&gt;&lt;table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; text-align: right;"&gt;&lt;tbody&gt;&lt;tr&gt;&lt;td style="text-align: center;"&gt;&lt;a href="http://www.thecricketer.com/published/84/resources/images/Gall%20PE%20World%20Cup/i-World-Cup-2925161.jpg" imageanchor="1" style="clear: right; margin-bottom: 1em; margin-left: auto; margin-right: auto;"&gt;&lt;span class="Apple-style-span" style="font-size: large;"&gt;&lt;img border="0" height="214" src="http://www.thecricketer.com/published/84/resources/images/Gall%20PE%20World%20Cup/i-World-Cup-2925161.jpg" width="320" /&gt;&lt;/span&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class="tr-caption" style="text-align: center;"&gt;&lt;span class="Apple-style-span" style="background-color: black;"&gt;&lt;span class="Apple-style-span" style="color: white; font-size: small;"&gt;&lt;strong class="title" style="font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; text-align: left;"&gt;Eng v SA World Cup 1992&lt;/strong&gt;&lt;br style="font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; text-align: left;" /&gt;&lt;span class="desc" style="font-family: Arial, Helvetica, sans-serif; line-height: 18px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; text-align: left;"&gt;Situation at end of match SA need 22 runs.www.patrickeagar.com&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;a href="http://www.thecricketer.com/published/84/resources/images/Gall%20PE%20World%20Cup/i-World-Cup-2925161.jpg" imageanchor="1" style="float: right;"&gt;&lt;span style="text-decoration: none;"&gt;&lt;span class="Apple-style-span" style="font-family: Verdana, sans-serif;"&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;span class="Apple-style-span" style="font-family: Verdana, sans-serif; font-size: large;"&gt;&lt;span class="Apple-style-span" style="line-height: 115%;"&gt;Also another&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span class="Apple-style-span" style="font-family: Verdana, sans-serif; font-size: large; line-height: 115%;"&gt;method that was used is the Highest Scoring Overs method which c&lt;/span&gt;&lt;span class="apple-style-span" style="font-family: Verdana, sans-serif; font-size: large;"&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;&lt;span class="Apple-style-span" style="line-height: 115%;"&gt;ompares the maximum runs scored by team1 in any setof overs equal to the number of completed overs received by team 2 against theteam 2 in those completed overs. So if team 2 received 31.4 overs their scoreafter 31 overs is compared to the highest scoring 31 overs of team 1's innings.So this method becomes very unfair as the maidens bowled by the second team isnot considered. So eventually this method is more biased towards the firstteam. The most&amp;nbsp;controversial&amp;nbsp;usage of this method arises in the 1992world cup semi final between South Africa and England. Play was halted whenSouth Africa had scored 231/6 from 42.5 overs against England's 252/6 from 45overs. When play was able to resume there was time for South Africa to receiveonly one more ball, 43 overs in total, so their target was revised to 252 bydiscarding the two maiden overs in the England innings, one of which yieldedone extra. So the number of bowls available was reduced by 12 but the targetremained unchanged. Due to the use of this method an&amp;nbsp;&lt;/span&gt;&lt;span class="Apple-style-span" style="line-height: 18px;"&gt;apparently&lt;/span&gt;&lt;span class="Apple-style-span" style="line-height: 115%;"&gt;&amp;nbsp;attainable target suddenly became an impossible one.&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;&lt;span class="Apple-style-span" style="font-family: Verdana, sans-serif; font-size: large;"&gt;&lt;span class="apple-style-span"&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;&lt;span class="Apple-style-span" style="line-height: 115%;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;&lt;span class="Apple-style-span" style="font-family: Verdana, sans-serif; font-size: large;"&gt;&lt;span class="apple-style-span"&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;&lt;span class="Apple-style-span"&gt;&lt;span class="Apple-style-span" style="line-height: 115%;"&gt;There are many &lt;/span&gt;&lt;a href="http://cricketarchive.com/Miscellaneous/Rain_Rule_Methods.html" style="line-height: 115%;" target="_blank"&gt;&lt;span class="Apple-style-span" style="color: white;"&gt;other methods&lt;/span&gt;&lt;/a&gt;&lt;span class="Apple-style-span" style="line-height: 115%;"&gt; used in a rain affected match. All of these methods either uses the run rate , highest scoring overs or pre-calculated curves (as used in Duckworth-Lewis method) with slight variations. Yet Duckworth-Lewis method is regarded the best method so far used&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="apple-style-span"&gt;&lt;span style="font-family: Verdana, sans-serif; font-size: 18pt;"&gt;.&amp;nbsp;&lt;/span&gt;&lt;span class="Apple-style-span" style="font-family: Verdana, sans-serif; font-size: large;"&gt;Buta slightly&amp;nbsp;different&amp;nbsp;method named as&lt;/span&gt;&lt;/span&gt;&lt;span class="Apple-style-span" style="font-family: Verdana, sans-serif; font-size: large;"&gt;&lt;span class="apple-converted-space"&gt;&amp;nbsp;&lt;/span&gt;&lt;span class="apple-style-span"&gt;VJDsystem introduced by V.Jayadevan&lt;span class="Apple-style-span" style="line-height: 28px;"&gt;&amp;nbsp;(&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="Apple-style-span" style="font-family: Verdana, sans-serif; font-size: large;"&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;an engineer from Thrissur in Kerala&lt;/span&gt;&lt;/span&gt;&lt;span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial;"&gt;&lt;span style="line-height: 115%;"&gt;)&amp;nbsp;has challenged the Duckwoth-Lewis method recently.&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;&lt;div style="margin-bottom: .0001pt; margin: 0in;"&gt;&lt;span style="font-size: 13.5pt;"&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6448474996796364360-7944672496348342730?l=shashindrasri.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://shashindrasri.blogspot.com/feeds/7944672496348342730/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://shashindrasri.blogspot.com/2011/11/duckworth-lewis-method-part-3.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/7944672496348342730'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/7944672496348342730'/><link rel='alternate' type='text/html' href='http://shashindrasri.blogspot.com/2011/11/duckworth-lewis-method-part-3.html' title='Duckworth-Lewis Method (part 3)'/><author><name>Shashindra Srimal</name><uri>http://www.blogger.com/profile/00275962757916668524</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6448474996796364360.post-2607376720941988213</id><published>2011-11-18T20:14:00.000+05:30</published><updated>2011-11-18T21:03:17.560+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Life'/><category scheme='http://www.blogger.com/atom/ns#' term='Politics'/><title type='text'>THEN THEY CAME FOR ME..........</title><content type='html'>&lt;br /&gt;&lt;div style="font-family: sans-serif; line-height: 1.5em; margin-bottom: 0.5em; margin-top: 0.4em;"&gt;&lt;/div&gt;&lt;div style="text-align: center;"&gt;&lt;span class="Apple-style-span" style="background-color: black;"&gt;&lt;span class="Apple-style-span" style="color: white; font-size: large;"&gt;&lt;b&gt;First they came for the&amp;nbsp;communists,&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: center;"&gt;&lt;span class="Apple-style-span" style="background-color: black;"&gt;&lt;span class="Apple-style-span" style="color: white; font-size: large;"&gt;&lt;b&gt;and I didn't speak out because I wasn't a communist.&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="font-family: sans-serif; line-height: 1.5em; margin-bottom: 0.5em; margin-top: 0.4em;"&gt;&lt;/div&gt;&lt;div style="text-align: center;"&gt;&lt;span class="Apple-style-span" style="background-color: black;"&gt;&lt;span class="Apple-style-span" style="color: white; font-size: large;"&gt;&lt;b&gt;Then they came for the&amp;nbsp;trade unionists,&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: center;"&gt;&lt;span class="Apple-style-span" style="background-color: black;"&gt;&lt;span class="Apple-style-span" style="color: white; font-size: large;"&gt;&lt;b&gt;and I didn't speak out because I wasn't a trade unionist.&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="font-family: sans-serif; line-height: 1.5em; margin-bottom: 0.5em; margin-top: 0.4em;"&gt;&lt;/div&gt;&lt;div style="text-align: center;"&gt;&lt;span class="Apple-style-span" style="background-color: black;"&gt;&lt;span class="Apple-style-span" style="color: white; font-size: large;"&gt;&lt;b&gt;Then they came for the&amp;nbsp;Jews,&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: center;"&gt;&lt;span class="Apple-style-span" style="background-color: black;"&gt;&lt;span class="Apple-style-span" style="color: white; font-size: large;"&gt;&lt;b&gt;and I didn't speak out because I wasn't a Jew.&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="font-family: sans-serif; line-height: 1.5em; margin-bottom: 0.5em; margin-top: 0.4em;"&gt;&lt;/div&gt;&lt;div style="text-align: center;"&gt;&lt;span class="Apple-style-span" style="background-color: black;"&gt;&lt;span class="Apple-style-span" style="color: white; font-size: large;"&gt;&lt;b&gt;Then they came for me&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: center;"&gt;&lt;span class="Apple-style-span" style="background-color: black;"&gt;&lt;span class="Apple-style-span" style="color: white; font-size: large;"&gt;&lt;b&gt;and there was no one left to speak out for me.&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;&lt;div style="font-family: sans-serif; line-height: 1.5em; margin-bottom: 0.5em; margin-top: 0.4em;"&gt;&lt;span class="Apple-style-span" style="background-color: white;"&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://images2.fanpop.com/images/photos/7200000/silence-is-Golden-horror-movies-7214152-1024-768.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img border="0" height="240" src="http://images2.fanpop.com/images/photos/7200000/silence-is-Golden-horror-movies-7214152-1024-768.jpg" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div style="font-family: sans-serif; line-height: 1.5em; margin-bottom: 0.5em; margin-top: 0.4em;"&gt;&lt;div style="text-align: right;"&gt;&lt;span class="Apple-style-span" style="background-color: black; color: white;"&gt;&lt;b&gt;&lt;span class="Apple-style-span" style="font-size: 13px; line-height: 20px;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: right;"&gt;&lt;span class="Apple-style-span" style="background-color: black; color: white;"&gt;&lt;b&gt;&lt;span class="Apple-style-span" style="font-size: 13px; line-height: 20px;"&gt;&amp;nbsp;A&amp;nbsp;famous statement attributed to pastor&amp;nbsp;&lt;/span&gt;Martin Niemöller&lt;span class="Apple-style-span" style="font-size: 13px; line-height: 20px;"&gt;&amp;nbsp;(1892–1984)&amp;nbsp;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6448474996796364360-2607376720941988213?l=shashindrasri.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://shashindrasri.blogspot.com/feeds/2607376720941988213/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://shashindrasri.blogspot.com/2011/11/then-they-came-for-me.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/2607376720941988213'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/2607376720941988213'/><link rel='alternate' type='text/html' href='http://shashindrasri.blogspot.com/2011/11/then-they-came-for-me.html' title='THEN THEY CAME FOR ME..........'/><author><name>Shashindra Srimal</name><uri>http://www.blogger.com/profile/00275962757916668524</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6448474996796364360.post-3970237524048379476</id><published>2011-11-15T13:35:00.000+05:30</published><updated>2011-11-15T13:41:41.546+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Security'/><category scheme='http://www.blogger.com/atom/ns#' term='Internet'/><title type='text'>How Secured is Your Security Question ????</title><content type='html'>&lt;a href="http://www.jheary.com/security-questions.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"&gt;&lt;img border="0" height="145" src="http://www.jheary.com/security-questions.jpg" width="320" /&gt;&lt;/a&gt;&lt;br /&gt;You may have seen different kinds of questions such as "What is your library card no ?" , "what is your mothers birth town ?", while registering for an online account.These questions are used in password recovery processes and additional sign in verifications. Normally we all care about our passwords and worry about the security of the password.&lt;br /&gt;&lt;br /&gt;&lt;div&gt;But do we really care about these security questions ? It seems most of us don't care much about these.Most of the time we give our real details as the answers to theses questions and simply forget about the security question.Even I was unaware of security questions selected for my email address until i decided to write this post.The most surprising thing is that I can't come up with the correct answer for those questions.I think this is common between most of us.We really DON'T CARE about those.&lt;/div&gt;&lt;div&gt;&lt;a href="http://www.newslettercartoons.com/catalog/gifs/6094-w.gif" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"&gt;&lt;img border="0" height="320" src="http://www.newslettercartoons.com/catalog/gifs/6094-w.gif" width="320" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;But in reality this is a great security risk.Even if you have a very good password that can not be guessed easily,you may be vulnerable to security threats.It is like locking the front door while leaving the backdoor open.The confidentiality of the answers for a security question will be far less than a password.If some one asks you a password you probably wont tell.But if some one asks you the birth town of your mother you may answer it.Also most of the details that are asked in security questions can be found publicly or can easily be guessed.That is what happened with the &lt;a href="http://en.wikipedia.org/wiki/Sarah_Palin_email_hack" target="_blank"&gt;email account of Sarah Palin&lt;/a&gt; the vice president candidate during 2008 elections.&lt;/div&gt;&lt;div&gt;&lt;br /&gt;A good security question should have a answer which can be easily memorized, which is not publicly available and which does not change overtime. Further the possible number of answers for the question should be very large so that it can not be guessed. There are &lt;a href="http://goodsecurityquestions.com/examples.htm" target="_blank"&gt;some websites&lt;/a&gt; which offers good security questions. But it is worth to note that the goodness of the question depends on the expected answer as well.&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6448474996796364360-3970237524048379476?l=shashindrasri.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://shashindrasri.blogspot.com/feeds/3970237524048379476/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://shashindrasri.blogspot.com/2011/11/how-secured-is-your-security-question.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/3970237524048379476'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/3970237524048379476'/><link rel='alternate' type='text/html' href='http://shashindrasri.blogspot.com/2011/11/how-secured-is-your-security-question.html' title='How Secured is Your Security Question ????'/><author><name>Shashindra Srimal</name><uri>http://www.blogger.com/profile/00275962757916668524</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6448474996796364360.post-5616996874307211095</id><published>2011-11-03T10:55:00.000+05:30</published><updated>2011-11-03T10:57:38.370+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='maths'/><title type='text'>Pigeon-Hole Principle</title><content type='html'>&lt;span class="Apple-style-span" style="font-family: Verdana, sans-serif;"&gt;It's amazing how a very simple and obvious thing in life become a mathematical principle and helps to prove many complex results. Pigeon-Hole principle is one such concept. At first it seems as a very obvious&amp;nbsp;fact&amp;nbsp;and one may wonder whether it deserves such a place in mathematics. But this principle becomes very useful in many occasions to prove that there exists some answer for a problem.&lt;/span&gt;&lt;br /&gt;&lt;div style="text-align: center;"&gt;&lt;br /&gt;&lt;/div&gt;&lt;div id="__ss_10001285" style="width: 425px;"&gt;&lt;strong style="display: block; margin: 12px 0 4px;"&gt;&lt;a href="http://www.slideshare.net/jmsssilva/pigeon-hole-principle-10001285" target="_blank" title="Pigeon hole principle"&gt;&lt;/a&gt;&lt;/strong&gt; &lt;br /&gt;&lt;div style="text-align: center;"&gt;&lt;iframe frameborder="0" height="355" marginheight="0" marginwidth="0" scrolling="no" src="http://www.slideshare.net/slideshow/embed_code/10001285" width="425"&gt;&lt;/iframe&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6448474996796364360-5616996874307211095?l=shashindrasri.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://shashindrasri.blogspot.com/feeds/5616996874307211095/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://shashindrasri.blogspot.com/2011/11/pigeon-hole-principle.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/5616996874307211095'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/5616996874307211095'/><link rel='alternate' type='text/html' href='http://shashindrasri.blogspot.com/2011/11/pigeon-hole-principle.html' title='Pigeon-Hole Principle'/><author><name>Shashindra Srimal</name><uri>http://www.blogger.com/profile/00275962757916668524</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6448474996796364360.post-6592244525831723080</id><published>2011-09-03T15:10:00.003+05:30</published><updated>2011-09-03T15:13:39.775+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Cricket'/><category scheme='http://www.blogger.com/atom/ns#' term='maths'/><category scheme='http://www.blogger.com/atom/ns#' term='Duckworth-Lewis'/><title type='text'>Duckworth-Lewis Method (part 2)</title><content type='html'>&lt;div&gt;(For an introduction of Duckworth-Lewis method visit the&lt;a href="http://shashindrasri.blogspot.com/2010/09/duckworth-lewis-method-part-1.html"&gt; part 1&lt;/a&gt;)&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;Below, are two examples given for the betterment in understanding the Duckworth-Lewis method used in different scenarios.A sample of reduced D/L table is given below.&lt;br /&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;table class="MsoNormalTable" border="1" cellpadding="0" align="left" style="mso-cellspacing:  1.5pt;mso-table-overlap:never;mso-yfti-tbllook:1184;mso-table-lspace:9.0pt;  margin-left:6.75pt;mso-table-rspace:9.0pt;margin-right:6.75pt;mso-table-anchor-vertical:  paragraph;mso-table-anchor-horizontal:column;mso-table-left:left;mso-table-top:  .05pt"&gt;  &lt;tbody&gt;&lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;&lt;/td&gt;   &lt;td colspan="5" style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;Wickets lost&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;&lt;span&gt; &lt;/span&gt;Overs left&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;0&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;2&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;5&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;7&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;9&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;50&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;100.0   &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;83.8 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;49.5 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;26.5 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;7.6 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;40&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;90.3 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;77.6 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;48.3 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;26.4 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;7.6 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;30&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;77.1 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;68.2 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;45.7 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;26.2 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;7.6 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;25&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;68.7 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;61.8 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;43.4 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;25.9 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;7.6 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;20&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;58.9 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;54.0 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;40.0 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;25.2 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;7.6 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;10&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;34.1 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;32.5 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;27.5 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;20.6 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;7.5 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;5&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;18.4 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;17.9 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;16.4 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;14.0 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;7.0&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;Ex. 01: Team A scored 263 runs within their allotted 50 overs and the match was interrupted when team B had scored 132 for the loss of 2 wickets in 30 overs.&lt;/b&gt;&lt;br /&gt;&lt;/div&gt;&lt;div style="text-align: center;"&gt;&lt;span class="Apple-style-span"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;Case1: If match is not resumed.&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;The percentage of resources lost by Team B = 54% (wickets = 2 and overs left = 20)&lt;/div&gt;&lt;div&gt;The percentage of resources available to Team B = 100-54 = 46%	 &lt;/div&gt;&lt;div&gt;The percentage of Team A’s resources = 100% (no interruptions occurred during 1st innings)	 Revised target for 30 overs = 263*46/100 = 120.98	 &lt;/div&gt;&lt;div&gt;Since Team B has scored 132, they will be declared as the winners.&lt;br /&gt;&lt;br /&gt;&lt;b&gt;Case 2: If match is reduced to a 40 overs.&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;The percentage of resources at the time of interruption for Team B = 54%&lt;/div&gt;&lt;div&gt;The percentage of resources when match resumed (10 overs left, 2 wickets down) = 32.5% Percentage loss of resources for Team B = 54-32.5 = 21.5%	 &lt;/div&gt;&lt;div&gt;The percentage of resources available to Team B=100-21.5=78.5%	 &lt;/div&gt;&lt;div&gt;Revised target in 40 overs = 263*78.5/100 = 206.45 = 207(to win)&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;span class="Apple-style-span" style="color: rgb(0, 0, 238); "&gt;&lt;img src="http://www.reuters.com/resources/r/?m=02&amp;amp;d=20100823&amp;amp;t=2&amp;amp;i=187225895&amp;amp;w=390&amp;amp;fh=390&amp;amp;fw=&amp;amp;ll=&amp;amp;pl=&amp;amp;r=2010-08-23T153615Z_01_LR2E68K10ROCU_RTRRPP_0_CRICKET-TRI" border="0" alt="" style="display: block; margin-top: 0px; margin-right: auto; margin-bottom: 10px; margin-left: auto; text-align: center; cursor: pointer; width: 390px; height: 247px; " /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;Ex2: Team A scored 132/2 in 30 overs and the match was interrupted. The match resumed as a 30 over match.&lt;/b&gt;&lt;br /&gt;&lt;br /&gt;The percentage of resources at the time of interruption for Team A = 54%	 &lt;/div&gt;&lt;div&gt;The percentage of resources used by Team A = 100-54 = 46%	 &lt;/div&gt;&lt;div&gt;The percentage of resources available for Team B = 77.1% (30 overs 10 wickets)&lt;br /&gt;&lt;br /&gt;Since Team 2 has more resources, their “revised target” must be raised upwards. The G50 value comes into play at this moment. The additional number of runs that has to be added to the target is calculated as a percentage of G50 value with respect to the additional resource percentage available for Team B.&lt;br /&gt;&lt;br /&gt;The additional resource percentage available for team B = 77.1-46 = 31.1%	 &lt;/div&gt;&lt;div&gt;Additional runs that should be added to the target = 225*31.1/100 = 69.975 = 70 (225 is the G50 value)&lt;br /&gt;Therefore Team B should score 202 runs to win the game within 30 overs.&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;So this shows how simple D/L method is used during matches.The professional version of this D/L method is used in ODI's. &lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6448474996796364360-6592244525831723080?l=shashindrasri.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://shashindrasri.blogspot.com/feeds/6592244525831723080/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://shashindrasri.blogspot.com/2011/09/duckworth-lewis-method-part-2.html#comment-form' title='3 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/6592244525831723080'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/6592244525831723080'/><link rel='alternate' type='text/html' href='http://shashindrasri.blogspot.com/2011/09/duckworth-lewis-method-part-2.html' title='Duckworth-Lewis Method (part 2)'/><author><name>Shashindra Srimal</name><uri>http://www.blogger.com/profile/00275962757916668524</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>3</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6448474996796364360.post-7944180852712711991</id><published>2011-09-01T22:30:00.000+05:30</published><updated>2011-09-01T08:59:46.313+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Cricket'/><category scheme='http://www.blogger.com/atom/ns#' term='maths'/><category scheme='http://www.blogger.com/atom/ns#' term='Duckworth-Lewis'/><title type='text'>The Duckworth-Lewis Method (part 1)</title><content type='html'>&lt;div style="text-align: center;"&gt;&lt;br /&gt;&lt;/div&gt;&lt;a href="http://www.reuters.com/resources/r/?m=02&amp;amp;d=20100823&amp;amp;t=2&amp;amp;i=187225895&amp;amp;w=390&amp;amp;fh=390&amp;amp;fw=&amp;amp;ll=&amp;amp;pl=&amp;amp;r=2010-08-23T153615Z_01_LR2E68K10ROCU_RTRRPP_0_CRICKET-TRI" onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}"&gt;&lt;/a&gt;&lt;a href="http://www.cricketupdates.org/wp-content/uploads/2009/06/dl-300x295.jpg" onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}"&gt;&lt;img style="float:right; margin:0 0 10px 10px;cursor:pointer; cursor:hand;width: 300px; height: 295px;" src="http://www.cricketupdates.org/wp-content/uploads/2009/06/dl-300x295.jpg" border="0" alt="" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;b&gt;History&lt;/b&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;Though they may not have played cricket at international or first class level, they were surely the match winners in more than 80 One Day Internationals (ODI) including a world cup final. They were neither umpires nor match referees as well. Though many won’t realize the relationship between mathematics and cricket, they both strived to describe the gentlemen’s game in a very simple yet realistic mathematical sense. Over the past few years they have become the most influential duo in limited overs cricket. They both are none other than Frank Duckworth and Tony Lewis, the statisticians who introduced the “Duckworth Lewis Method” more popularly known as The D/L method within the realm of cricket and among cricket enthusiasts.&lt;br /&gt;The D/L method was successfully experimented within the year of 1997 by the International Cricket Council (ICC), the ECB (England &amp;amp; Wales Cricket Board) and the Zimbabwe Cricket Union (ZCU). It was first used in international cricket during the second game of the 1996/1997 Zimbabwe versus England One Day International, in which Zimbabwe won by 7 runs. Having seen its potential, the D/L method was formally adopted in 2001 by the ICC and henceforth was the standard method to calculate target scores for rain interrupted one-day matches.&lt;br /&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;Basis&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;Unlike previous methods used for rain affected games, The D/L method considers both the number of wickets lost and overs remaining. The said two are considered as the available resources for a particular team. A table is formulated capturing most of the variations pertaining to one-day cricket encounters based on the outcomes of a detailed analysis on hundreds of match data. Based on the depth of the mathematics used, The D/L method was split into a Professional and Standard Edition. The Standard Edition preserves the use of a single table and the adaptation of simple calculations (suitable for any one-day cricket match at any level), where else The Professional Edition utilizes a statistical modeling that is substantially sophisticated and requires the use of powerful computing. The Professional Edition had been put into use for all One Day International matches since early 2004.&lt;br /&gt;This article is based on the standard edition of The D/L method. One major consideration in this Edition is the use of the G50 value which is defined as the average score obtainable in a 50 overs match. Normally, this value is taken as 225, but The D/L method states that a freedom to choose any other value is viable given that all parties involved are aware of that change from the very beginning. This greatly exemplifies the flexibility of The D/L method.&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;table class="MsoNormalTable" border="1" cellpadding="0" align="left" style="mso-cellspacing:  1.5pt;mso-table-overlap:never;mso-yfti-tbllook:1184;mso-table-lspace:9.0pt;  margin-left:6.75pt;mso-table-rspace:9.0pt;margin-right:6.75pt;mso-table-anchor-vertical:  paragraph;mso-table-anchor-horizontal:column;mso-table-left:left;mso-table-top:  .05pt"&gt;  &lt;tbody&gt;&lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;&lt;/td&gt;   &lt;td colspan="5" style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="text-align: center;margin-bottom: 0.0001pt; line-height: normal; "&gt;&lt;b&gt;&lt;span&gt;Wickets lost&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;&lt;span&gt; &lt;/span&gt;Overs left&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;0&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;2&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;5&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;7&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;9&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;50&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;100.0   &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;83.8 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;49.5 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;26.5 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;7.6 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;40&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;90.3 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;77.6 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;48.3 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;26.4 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;7.6 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;30&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;77.1 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;68.2 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;45.7 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;26.2 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;7.6 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;25&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;68.7 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;61.8 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;43.4 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;25.9 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;7.6 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;20&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;58.9 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;54.0 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;40.0 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;25.2 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;7.6 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;10&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;34.1 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;32.5 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;27.5 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;20.6 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;7.5 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;  &lt;tr&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;b&gt;&lt;span&gt;5&lt;/span&gt;&lt;/b&gt;&lt;span&gt; &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;18.4 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;17.9 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;16.4 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;14.0 &lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;   &lt;td style="padding:.75pt .75pt .75pt .75pt"&gt;   &lt;p class="MsoNormal" style="margin-bottom:0mm;margin-bottom:.0001pt;text-align:   justify;line-height:normal;mso-element:frame;mso-element-frame-hspace:9.0pt;   mso-element-wrap:around;mso-element-anchor-vertical:paragraph;mso-element-anchor-horizontal:   column;mso-element-top:.05pt;mso-height-rule:exactly"&gt;&lt;span&gt;7.0&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/p&gt;   &lt;/td&gt;  &lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;A sample of a reduced D/L table is shown here. The resource percentage (that is, the No. of wickets and overs remaining) is indicated as shown. At the very commencement of an innings, each team has 100% of its resources available (that is, 50 overs and 10 wickets in hand). If at the end of 30 overs a team is at a loss of 5 wickets, its available resources reduces to a frail 40% percent.&lt;br /&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;Usage&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;The following procedure is used to recalculate a target score when an interruption occurs.&lt;br /&gt;1.	For the innings of each team.&lt;br /&gt;(a) Note the initial resource percentage from the table (that is, at the start of an innings).&lt;br /&gt;(b) Using the table, calculate the resource percentage lost due to each interruption.&lt;br /&gt;(c) Henceforth determine the available resource percentage.&lt;br /&gt;&lt;br /&gt;2.	If Team 2 has fewer resources available than Team 1, the ratio of the available resources for the two teams is calculated and Team 2's “revised target” is obtained by scaling down Team 1's score by this ratio.&lt;br /&gt;&lt;br /&gt;3.	If Team 2 has more resources available than Team 1, the amount by which Team 2's resource percentage exceeds Team 1's is calculated and this excess is worked out as a percentage of The G50 value to determine the extra runs required to add on to Team 1's score to give Team 2's “revised target”.&lt;br /&gt;(some examples will be calculated in the next post)&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6448474996796364360-7944180852712711991?l=shashindrasri.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://shashindrasri.blogspot.com/feeds/7944180852712711991/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://shashindrasri.blogspot.com/2010/09/duckworth-lewis-method-part-1.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/7944180852712711991'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/7944180852712711991'/><link rel='alternate' type='text/html' href='http://shashindrasri.blogspot.com/2010/09/duckworth-lewis-method-part-1.html' title='The Duckworth-Lewis Method (part 1)'/><author><name>Shashindra Srimal</name><uri>http://www.blogger.com/profile/00275962757916668524</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6448474996796364360.post-5231516919865081906</id><published>2011-08-24T22:00:00.000+05:30</published><updated>2011-08-24T22:41:00.828+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='maths'/><title type='text'>Calculate Squares of Numbers Instantly</title><content type='html'>&lt;p style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space: pre; "&gt;	&lt;/span&gt;The following method may help to calculate squares of numbers from 21-120 easily .Only some basic multiplications have to be done and some basic square values have to be remembered in order to use this method.&lt;/span&gt;&lt;/p&gt;&lt;p style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;The base of this method is the well known algebraic identity&lt;/span&gt;&lt;/p&gt;&lt;p style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;b&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;		&lt;/span&gt;a^2-b^2=(a-b)(a+b)&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;This identity can be rearranged to the following form.&lt;/span&gt;&lt;/p&gt;&lt;p style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;b&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;		&lt;/span&gt;a^2=(a-b)(a+b)+b^2&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;So when 'a' is given we should select 'b' such that the terms b^2 and (a-b)(a+b) are easily calculable.The 'b' value can be selected so that the square of 'b' is a known number.Most of us know the squares of numbers up to 12 and some times even up to 25.To use this method I may suggest to remember square values up to 20.One can use this method only remembering square values up to 5 but knowing more values will ease the other calculation part in the equation.&lt;/span&gt;&lt;/p&gt;&lt;p style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;The next part is the calculation of (a-b)(a+b).We can choose 'b' such that either (a-b) or (a+b) is divisible by 10.Then the multiplication becomes more simple and can be done mentally.Since there are several values of 'b' that gives a factor divisible by 10 the trick is to select 'b' such that either (a-b) or (a+b) gives the multiplier of 10 nearest to the value of 'a'.&lt;/span&gt;&lt;/p&gt;&lt;p style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;span class="Apple-style-span" &gt;To get an idea about the method let me show some examples.&lt;/span&gt;&lt;/p&gt;&lt;ul style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;li&gt;&lt;span class="Apple-style-span" &gt;38&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;p style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;		&lt;/span&gt;We'll select b as 2 (since this will give us a+b=40).Thus the calculations we have to do is 40*36 which &lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;is effectively 36*4.(this multiplication may done in two separate steps 30*4+6*4,which are very &lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;easy).then the only thing we have to do is adding 4 (2*2) to this value to obtain the square of 38.&lt;/span&gt;&lt;/p&gt;&lt;p style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;So 38*38=30*40+6*40+4=1200+240+4=1444.&lt;/span&gt;&lt;/p&gt;&lt;p style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;One may also try b=8 if they are more comfortable with multiplication with 3 rather than 4.&lt;/span&gt;&lt;/p&gt;&lt;ul style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;li&gt;&lt;span class="Apple-style-span" &gt;74&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;div style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;		&lt;/span&gt;We'll select b as 4.The calculations we have to do is 70*78 which is effectively 78*7.(this &lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;multiplication &lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;may done in two separate steps 70*7+8*7,which are very easy).To obtain the real value &lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;16 should be added to the answer.&lt;/span&gt;&lt;/div&gt;&lt;div style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;So 74*74=70*70+8*70+16=4900+560+16=5476.&lt;/span&gt;&lt;/div&gt;&lt;div style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;One may also try b=6 if they are more comfortable with multiplication with 8 rather than 7.&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;ul style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;li&gt;&lt;span class="Apple-style-span" &gt;87&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;p style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;		&lt;/span&gt;In this case we may select b=3 but than we have to multiply 84*90.But if we select b=13 we only have &lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;to &lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;multiply 100*74 and add 13*13 (169) to the result.The calculations have become very easy.As the &lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;number of square values we remember the calculations will become very simple.&lt;/span&gt;&lt;/p&gt;&lt;p style="font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; line-height: 19px; "&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;	&lt;/span&gt;As an example if we remember square of 26 (which is 676) then we may select b=26 in the previous example and the multiplications will become very simple.&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-style-span" style="line-height: 19px;" &gt;I think this method is very useful depending on the values you select for b and the ability of using basic multiplications.Although in the beginning I mentioned about numbers up to 120 this can be extended to more numbers depending on your ability to multiply mentally.To the better use of this method the following points may be important.&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;p&gt;&lt;/p&gt;&lt;ul&gt;&lt;li&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-style-span" style="line-height: 19px;" &gt;If the number is near 50 or 100 select 'b' such that (a-b) or (a+b) is equal to 50 or 100.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-style-span" style="line-height: 19px;" &gt;Remember more square values.May be up to 25.(This will help to find squares of higher numbers with out much calculations).If we remember squares up to 25 we may calculate up to 200 with out much effort.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span class="Apple-style-span" &gt;&lt;span class="Apple-style-span" style="line-height: 19px;" &gt;The multiplication part can be done in two steps as given in the example.&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span class="Apple-style-span"  &gt;&lt;span class="Apple-style-span" style="line-height: 19px; "&gt;The square of a number ending with 5 can easily be calculated by adding 25 to the value obtained by multiplication of multipliers of 10 that are lower and higher than the required value.(35*35=30*40+25) &lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;p&gt;&lt;/p&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6448474996796364360-5231516919865081906?l=shashindrasri.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://shashindrasri.blogspot.com/feeds/5231516919865081906/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://shashindrasri.blogspot.com/2011/08/calculate-squares-of-numbers-instantly.html#comment-form' title='2 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/5231516919865081906'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/5231516919865081906'/><link rel='alternate' type='text/html' href='http://shashindrasri.blogspot.com/2011/08/calculate-squares-of-numbers-instantly.html' title='Calculate Squares of Numbers Instantly'/><author><name>Shashindra Srimal</name><uri>http://www.blogger.com/profile/00275962757916668524</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>2</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6448474996796364360.post-2560838248599884797</id><published>2010-12-18T17:22:00.000+05:30</published><updated>2010-12-19T21:29:44.908+05:30</updated><title type='text'>BROADBAND POWER LINES</title><content type='html'>&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_TrsNgFI08hg/TQysWqnkACI/AAAAAAAAABo/fek-rtpbCeQ/s1600/BPL.png"&gt;&lt;img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 245px; height: 202px;" src="http://1.bp.blogspot.com/_TrsNgFI08hg/TQysWqnkACI/AAAAAAAAABo/fek-rtpbCeQ/s400/BPL.png" border="0" alt="" id="BLOGGER_PHOTO_ID_5552001946038304802" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;b&gt;BROADBAND POWER LINES&lt;/b&gt;&lt;br /&gt;&lt;br /&gt;Within a short period of time the Internet has become a vital part of life for many people in the world. Many businesses have invested in various communication networks to facilitate access to the Internet. Although there are many technologies to access the Internet, have you ever thought that the same wire system that is used to supply electricity to your house can be used to access the Internet? Well, with Broadband over Power Lines, or BPL, you can plug your computer into any electrical outlet in your house or office and instantly have access to high-speed Internet. This means that the existing infrastructure can be used to provide Internet facilities.&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;b&gt;Technology&lt;/b&gt;&lt;div&gt;&lt;div&gt;&lt;br /&gt;Standard AC electricity is transmitted at a frequency of 50 Hz or 60 Hz via normal power lines. Researchers found that this left almost the entire frequency range of the line free, which suggested that perhaps, like the local loop in fixed telephone lines, the power line could be used for additional purposes. Consequently, it was proposed to transmit data over the unused frequencies of the power lines, using methods similar to those used in DSL. This is the fundamental idea upon which BPL technology was constructed. With BPL, power lines now have two purposes, both of which must coexist without interference.&lt;br /&gt;But, transmitting data over power lines for long distances leads to degradation of the signals. This problem is particularly exacerbated by high-voltage power lines. Consequently, data is typically transmitted over fibre optic cables for the length of the high-voltage lines, before being converted into electrical signals and added to the medium-voltage or low-voltage lines. Since the majority of electricity transmission companies have wrapped fibre optic cables around their high-voltage lines, this is not a major problem. However, as with most other technologies, boosters are required at regular intervals, even on medium- and low-voltage lines, for re-amplification to prevent signal loss. Finally, the signal makes its way to neighborhoods and customers who can access it, either wirelessly, through strategically placed utility poles, or by having it zipped directly into their homes via the regular electric current. Adaptors at individual power outlets ferry the data into computers through their usual ports.&lt;br /&gt;&lt;br /&gt;&lt;b&gt;Advantages&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;Since it uses an existing infrastructure, BPL could mean that low-cost broadband could be made a reality in areas that cannot get DSL, cable or wireless broadband. Even households in extremely remote areas can now potentially have broadband access.&lt;br /&gt;In-house BPL is another advantage we can obtain from this technology. With the use of a simple converter and the wiring system of a building or a house, an Ethernet can be configured. Once a computer is connected to this electric network, it will be able to control any electric appliance in the same network. In that sense this technology may be useful in the development of ‘Smart’ houses or buildings controlled by a single computer.&lt;br /&gt;&lt;br /&gt;&lt;b&gt;Problems and Solutions&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;In spite of all the potential advantages, the BPL system has a number of issues. The primary one is that power lines are inherently a very noisy environment. Every time a device turns on or off, it introduces a pop or click into the line. The system must be designed to deal with these natural signaling disruptions and work around them.&lt;br /&gt;Power distribution uses step-down transformers to reduce the voltage for use by customers. But BPL signals cannot readily pass through transformers, as their high inductance makes them act as low-pass filters, blocking high-frequency signals. So, these transformers should be bypassed. In the U.S., it is common for a small transformer hung from a utility pole to service a single house or a small number of houses. In Europe, it is more common for a somewhat larger transformer to service 10 or 100 houses. Due to this difference, BPL has developed faster in Europe than in the USA.&lt;br /&gt;The next major issue is the operating frequency. The system is expected to use frequencies of 10 to 30 MHz, which have been used for many decades by amateur radio operators, as well as international shortwave broadcasters and a variety of communications systems (military, aeronautical, etc.). Power lines are unshielded and will act as antennas for the signals they carry, and have the potential to interfere with shortwave radio communications. Due to this problem, some countries such as Japan did not adopt this technology. Also amateur radio enthusiasts all over the world seem to be united in their distaste for what BPL does to the airwaves. Another concern with BPL is security. Since it transmits on a shared medium, like cable broadband, it is easier to hack the line.&lt;br /&gt;&lt;br /&gt;&lt;b&gt;Future&lt;/b&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;How this technology copes with the above-mentioned problems within the next few years will decide the future use of this technology. A  BPL connection is faster than a normal DSL connection, and the price is in the same range as DSL. Currently, power company Scottish Hydro Electric in Scotland is offering BPL in three towns for £35.99 and £29.99 per month for 1 Mbps and 512 kbps connections respectively. Germany, too, has many companies offering commercially available BPL.&lt;br /&gt;Even if BPL fails as a direct data transferring method, it still may be used as a backhaul for WiMAX networks or as a method of connectivity between electrical appliances in a house. Will this technology become a great success or will it be another failure? We will have to wait and see.&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;/div&gt;&lt;/div&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6448474996796364360-2560838248599884797?l=shashindrasri.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://shashindrasri.blogspot.com/feeds/2560838248599884797/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://shashindrasri.blogspot.com/2010/12/broadband-power-lines-within-short.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/2560838248599884797'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/2560838248599884797'/><link rel='alternate' type='text/html' href='http://shashindrasri.blogspot.com/2010/12/broadband-power-lines-within-short.html' title='BROADBAND POWER LINES'/><author><name>Shashindra Srimal</name><uri>http://www.blogger.com/profile/00275962757916668524</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://1.bp.blogspot.com/_TrsNgFI08hg/TQysWqnkACI/AAAAAAAAABo/fek-rtpbCeQ/s72-c/BPL.png' height='72' width='72'/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6448474996796364360.post-9205885072468211845</id><published>2010-03-11T23:39:00.001+05:30</published><updated>2010-03-11T23:39:58.301+05:30</updated><title type='text'>IPL 2010 Starts tomorrow !</title><content type='html'>&lt;div&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://4.bp.blogspot.com/_TrsNgFI08hg/S5kv52_l1cI/AAAAAAAAAAs/zCRwxsn8JRU/s1600-h/ipl3.jpg"&gt;&lt;img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 400px; height: 169px;" src="http://4.bp.blogspot.com/_TrsNgFI08hg/S5kv52_l1cI/AAAAAAAAAAs/zCRwxsn8JRU/s400/ipl3.jpg" border="0" alt="" id="BLOGGER_PHOTO_ID_5447437895342609858" /&gt;&lt;/a&gt;&lt;div style="text-align: left;"&gt;&lt;span style="font-family:&amp;quot;;color:black;"&gt;The third edition of the Indian Premier League starts tomorrow. Apart from World T20 and World Cup, IPL has become the most exciting and interesting cricket tournament ever. With all those theories and controversies about the commercialization of &lt;/span&gt;cricket what I believe is that it has now become a business, but still I don’t care about that as long as it gives entertainment. These days all those cricket experts talks about preserving test cricket and about limiting T20s.But I think its T20s that has made cricket more popular . And with T20s, cricket is no longer a game to be watched by old people and kids who have a lot of time to kill in their day time. It has become a game where people can enjoy even after coming home after a tiring day at the office without missing any moment of action.&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;/div&gt;&lt;div&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;It is still unclear whether some local TV channel is telecasting this tournament. In last two tournaments Sirasa TV (IPL 1) and Channel Eye (IPL 2) telecasted these matches. But still I did not see any advertisement on these channels about IPL 2010. Anyway this time all the matches of IPL will be broadcasted live on YouTube Official Channel for IPL 2010. This is done according to an agreement between IPL and Google (who owns YouTube). Though neither of them has revealed the conditions of the agreement it is believed that IPL and Google will share the revenues from advertisements and sponsorships. Anyway let’s hope that at least the telecast on YouTube is not interrupted by advertisements.&lt;/div&gt;&lt;div style="text-align: left;"&gt;Most of the teams have same squads as last year but there are some new players in action as well. Hope this time Sri Lankan players will make their mark at IPL.&lt;span style="mso-spacerun:yes"&gt;  &lt;/span&gt;Sanga has been given a chance to show his leadership skills this time.Also hope that Dilshan may play well and score a hundred this season. The Sri Lankan all rounder’s Thissara Perera and Angelo Mathews will be playing for CSK and KKR respectively. And hope that Sanath will play some wonderful innings at least to get some more votes :P&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;/div&gt;&lt;div&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;To watch IPL on YouTube use the below link.&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span class="Apple-style-span" style="white-space: pre; "&gt;               &lt;a href="http://www.youtube.com/ipl"&gt;http://www.youtube.com/ipl&lt;/a&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span class="Apple-style-span" style="white-space: pre; "&gt;&lt;/div&gt;&lt;div&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span class="Apple-style-span" style="white-space: pre; "&gt;&lt;a href="http://www.youtube.com/ipl"&gt;&lt;/a&gt;T&lt;span class="Apple-style-span" style="white-space: normal; "&gt;o visit IPL official page&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span class="Apple-style-span" style="white-space: pre; "&gt;&lt;span class="Apple-style-span" style="white-space: normal; "&gt;&lt;span class="Apple-style-span" style="white-space: pre; "&gt;               &lt;a href="http://www.iplt20.com/index.php"&gt;http://www.iplt20.com/index.php&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;p class="MsoNormal"&gt;&lt;span class="apple-style-span"&gt;&lt;span style="Georgia&amp;quot;,&amp;quot;serif&amp;quot;; font-family:&amp;quot;;color:black;"&gt;&lt;span class="Apple-tab-span" style="white-space:pre"&gt;&lt;/span&gt;Here is the official IPL schedule.&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;&lt;table border="1" cellpadding="1" cellspacing="1" style="height: 70px; width: 100%;"&gt;&lt;tbody&gt;&lt;tr&gt; &lt;th&gt;&lt;strong&gt;No.&lt;/strong&gt;&lt;/th&gt;  &lt;th&gt;&lt;strong&gt;Date&lt;/strong&gt;&lt;/th&gt; &lt;th&gt;&lt;strong&gt;IST&lt;/strong&gt;&lt;/th&gt;  &lt;th&gt;&lt;strong&gt;Match Details&lt;/strong&gt;&lt;/th&gt; &lt;th&gt;&lt;strong&gt;Venue&lt;/strong&gt;&lt;/th&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td colspan="6"&gt;&lt;strong&gt;Mar-2010&lt;/strong&gt;&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;1&lt;/td&gt;  &lt;td&gt;March 12&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;DC vs KKR&lt;/td&gt; &lt;td&gt;HCA – Hyderabad&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;2&lt;/td&gt; &lt;td&gt;March 13&lt;/td&gt;  &lt;td&gt;16:00&lt;/td&gt;  &lt;td&gt;MI vs RR&lt;/td&gt; &lt;td&gt;Mumbai/Nagpur&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;3&lt;/td&gt; &lt;td&gt;March 13&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;   &lt;td&gt;KXI vs DD&lt;/td&gt; &lt;td&gt;PCA – Mohali&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;4&lt;/td&gt; &lt;td&gt;March 14&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt;  &lt;td&gt;CSK vs DC&lt;/td&gt;&lt;td&gt;MAC – Chennai&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;5&lt;/td&gt; &lt;td&gt;March 14&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;KKR vs BRC&lt;/td&gt; &lt;td&gt;Eden – Kolkata&lt;/td&gt;  &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;6&lt;/td&gt; &lt;td&gt;March 15&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;RR vs DD&lt;/td&gt; &lt;td&gt;SMS – Jaipur&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;7&lt;/td&gt; &lt;td&gt;March 16&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt;&lt;td&gt;BRC vs KXI&lt;/td&gt; &lt;td&gt;MCS – Bangalore&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt;  &lt;td&gt;8&lt;/td&gt; &lt;td&gt;March 16&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;KKR vs CSK&lt;/td&gt; &lt;td&gt;Eden – Kolkata&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;9&lt;/td&gt;  &lt;td&gt;March 17&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;DD vs MI&lt;/td&gt; &lt;td&gt;FSK – Delhi&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;10&lt;/td&gt; &lt;td&gt;March 18&lt;/td&gt;  &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;BRC vs RR&lt;/td&gt; &lt;td&gt;MCS – Bangalore&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;11&lt;/td&gt; &lt;td&gt;March 19&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;DC vs KXI&lt;/td&gt; &lt;td&gt;Visakhapatnam&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;12&lt;/td&gt; &lt;td&gt;March 20&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt;  &lt;td&gt;RR vs KKR&lt;/td&gt;  &lt;td&gt;Ahmedabad&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;13&lt;/td&gt; &lt;td&gt;March 20&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;MI vs BRC&lt;/td&gt; &lt;td&gt;Mumbai/Nagpur&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;14&lt;/td&gt; &lt;td&gt;March 21&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt; &lt;td&gt;CSK vs KXI&lt;/td&gt; &lt;td&gt;MAC – Chennai&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt;  &lt;td&gt;15&lt;/td&gt; &lt;td&gt;March 21&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;&lt;td&gt;DD vs DC&lt;/td&gt; &lt;td&gt;FSK – Delhi&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;16&lt;/td&gt;  &lt;td&gt;March 22&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;&lt;td&gt;MI vs KKR&lt;/td&gt; &lt;td&gt;Mumbai/Nagpur&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;17&lt;/td&gt; &lt;td&gt;March 23&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;&lt;td&gt;BRC vs CSK&lt;/td&gt; &lt;td&gt;MCS – Bangalore&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;18&lt;/td&gt; &lt;td&gt;March 24&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;KXI vs RR&lt;/td&gt; &lt;td&gt;PCA – Mohali&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;19&lt;/td&gt; &lt;td&gt;March 25&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;KKR vs DD&lt;/td&gt;  &lt;td&gt;Eden – Kolkata&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;20&lt;/td&gt; &lt;td&gt;March 26&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt; &lt;td&gt;CSK vs MI&lt;/td&gt; &lt;td&gt;MAC – Chennai&lt;/td&gt;  &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;21&lt;/td&gt; &lt;td&gt;March 26&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;RR vs DC&lt;/td&gt; &lt;td&gt;Ahmedabad&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;22&lt;/td&gt;  &lt;td&gt;March 27&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt; &lt;td&gt;BRC vs DD&lt;/td&gt; &lt;td&gt;MCS – Bangalore&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;23&lt;/td&gt; &lt;td&gt;March 27&lt;/td&gt;  &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;KXI vs KKR&lt;/td&gt; &lt;td&gt;PCA – Mohali&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;24&lt;/td&gt; &lt;td&gt;March 28&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt;&lt;td&gt;RR vs CSK&lt;/td&gt; &lt;td&gt;Ahmedabad&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;25&lt;/td&gt; &lt;td&gt;March 28&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;DC vs MI&lt;/td&gt;  &lt;td&gt;Visakhapatnam&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;26&lt;/td&gt; &lt;td&gt;March 29&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;DD vs KKR&lt;/td&gt; &lt;td&gt;FSK – Delhi&lt;/td&gt;  &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;27&lt;/td&gt; &lt;td&gt;March 30&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;MI vs KXI&lt;/td&gt; &lt;td&gt;Mumbai/Nagpur&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;28&lt;/td&gt;  &lt;td&gt;March 31&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt; &lt;td&gt;CSK vs BRC&lt;/td&gt; &lt;td&gt;MAC – Chennai&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;29&lt;/td&gt; &lt;td&gt;March 31&lt;/td&gt;  &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;DDs vs RR&lt;/td&gt; &lt;td&gt;FSK – Delhi&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td colspan="6"&gt;&lt;strong&gt;Apr-2010&lt;/strong&gt;&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;30&lt;/td&gt;  &lt;td&gt;April 01&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;KKR vs DC&lt;/td&gt; &lt;td&gt;Eden – Kolkata&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;31&lt;/td&gt; &lt;td&gt;April 02&lt;/td&gt;  &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;KXI vs BRC&lt;/td&gt; &lt;td&gt;PCA – Mohali&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;32&lt;/td&gt; &lt;td&gt;April 03&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt;  &lt;td&gt;CSK vs RR&lt;/td&gt; &lt;td&gt;MAC – Chennai&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;33&lt;/td&gt; &lt;td&gt;April 03&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;MI vs DC&lt;/td&gt; &lt;td&gt;Mumbai/Nagpur&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;34&lt;/td&gt; &lt;td&gt;April 04&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt; &lt;td&gt;DD vs BRC&lt;/td&gt; &lt;td&gt;FSK – Delhi&lt;/td&gt;  &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;35&lt;/td&gt; &lt;td&gt;April 04&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;KKR vs KXI &lt;/td&gt; &lt;td&gt;Eden – Kolkata&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;36&lt;/td&gt; &lt;td&gt;April 05&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;DC vs RR&lt;/td&gt; &lt;td&gt;HCA – Hyderabad&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt;  &lt;td&gt;37&lt;/td&gt; &lt;td&gt;April 06&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;MI vs CSK&lt;/td&gt; &lt;td&gt;Mumbai/Nagpur&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;38&lt;/td&gt; &lt;td&gt;April 07&lt;/td&gt;  &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;RR vs KXI&lt;/td&gt; &lt;td&gt;Ahmedabad&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;39&lt;/td&gt; &lt;td&gt;April 08&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt;  &lt;td&gt;BRC vs DC&lt;/td&gt; &lt;td&gt;MCS – Bangalore&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;40&lt;/td&gt; &lt;td&gt;April 08&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;CSK vs DD&lt;/td&gt;  &lt;td&gt;MAC – Chennai&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;41&lt;/td&gt; &lt;td&gt;April 09&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;&lt;td&gt;KXI vs MI&lt;/td&gt; &lt;td&gt;PCA – Mohali&lt;/td&gt;  &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;42&lt;/td&gt; &lt;td&gt;April 10&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt; &lt;td&gt;BRC vs KKR&lt;/td&gt; &lt;td&gt;MCS – Bangalore&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;43&lt;/td&gt; &lt;td&gt;April 10&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;Dc vs CSK&lt;/td&gt; &lt;td&gt;HCA – Hyderabad&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt;  &lt;td&gt;44&lt;/td&gt; &lt;td&gt;April 11&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt;  &lt;td&gt;RR vs MI&lt;/td&gt; &lt;td&gt;SMS – Jaipur&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;45&lt;/td&gt;  &lt;td&gt;April 11&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;DD vs KXI&lt;/td&gt; &lt;td&gt;FSK – Delhi&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;46&lt;/td&gt; &lt;td&gt;April 12&lt;/td&gt;  &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;DC vs BRC&lt;/td&gt; &lt;td&gt;HCA – Hyderabad&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;47&lt;/td&gt; &lt;td&gt;April 13&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;CSK vs KKR&lt;/td&gt; &lt;td&gt;MAC – Chennai&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;48&lt;/td&gt; &lt;td&gt;April 14&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;MI vs DD&lt;/td&gt; &lt;td&gt;Mumbai/Nagpur&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;49&lt;/td&gt; &lt;td&gt;April 15&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt; &lt;td&gt;RR vs BRC&lt;/td&gt; &lt;td&gt;SMS – Jaipur&lt;/td&gt;  &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;50&lt;/td&gt; &lt;td&gt;April 15&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;KXI vs DC&lt;/td&gt; &lt;td&gt;Dharmasala&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;51&lt;/td&gt;  &lt;td&gt;April 16&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;DD vs CSK&lt;/td&gt; &lt;td&gt;FSK – Delhi&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;52&lt;/td&gt; &lt;td&gt;April 17&lt;/td&gt;  &lt;td&gt;16:00&lt;/td&gt; &lt;td&gt;BRC vs MI&lt;/td&gt; &lt;td&gt;MCS – Bangalore&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;53&lt;/td&gt; &lt;td&gt;April 17&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;KKR vs RR&lt;/td&gt; &lt;td&gt;Eden – Kolkata&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;54&lt;/td&gt; &lt;td&gt;April 18&lt;/td&gt; &lt;td&gt;16:00&lt;/td&gt;&lt;td&gt;DC vs DD&lt;/td&gt; &lt;td&gt;HCA – Hyderabad&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;55&lt;/td&gt; &lt;td&gt;April 18&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;KXI vs CSK&lt;/td&gt;  &lt;td&gt;Dharmasala&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;56&lt;/td&gt; &lt;td&gt;April 19&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;KKR vs MI&lt;/td&gt; &lt;td&gt;Eden – Kolkata&lt;/td&gt;  &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;57&lt;/td&gt; &lt;td&gt;April 21&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;&lt;strong&gt;1nd Semi– T1 vs T 2&lt;/strong&gt;&lt;/td&gt; &lt;td&gt;TBC&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;58&lt;/td&gt; &lt;td&gt;April 22&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt; &lt;td&gt;&lt;strong&gt;2nd Semi– T3 vs T4&lt;/strong&gt;&lt;/td&gt; &lt;td&gt;TBC&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt;  &lt;td&gt;59&lt;/td&gt; &lt;td&gt;April 24&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;&lt;td&gt;&lt;strong&gt; 3rd Place &lt;/strong&gt;&lt;/td&gt; &lt;td&gt;TBC&lt;/td&gt; &lt;/tr&gt;&lt;tr&gt; &lt;td&gt;60&lt;/td&gt;  &lt;td&gt;April 25&lt;/td&gt; &lt;td&gt;20:00&lt;/td&gt;  &lt;td&gt;&lt;strong&gt;Final &lt;/strong&gt;&lt;/td&gt; &lt;td&gt;TBC&lt;/td&gt; &lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;(At last i posted the article before i have to change "tomorrow" in the topic to "today" :)  )&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6448474996796364360-9205885072468211845?l=shashindrasri.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://shashindrasri.blogspot.com/feeds/9205885072468211845/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://shashindrasri.blogspot.com/2010/03/ipl-2010-starts-tomorrow_11.html#comment-form' title='3 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/9205885072468211845'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/9205885072468211845'/><link rel='alternate' type='text/html' href='http://shashindrasri.blogspot.com/2010/03/ipl-2010-starts-tomorrow_11.html' title='IPL 2010 Starts tomorrow !'/><author><name>Shashindra Srimal</name><uri>http://www.blogger.com/profile/00275962757916668524</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://4.bp.blogspot.com/_TrsNgFI08hg/S5kv52_l1cI/AAAAAAAAAAs/zCRwxsn8JRU/s72-c/ipl3.jpg' height='72' width='72'/><thr:total>3</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6448474996796364360.post-6880236204815473243</id><published>2010-02-04T22:07:00.000+05:30</published><updated>2010-02-04T23:59:39.802+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Independence'/><category scheme='http://www.blogger.com/atom/ns#' term='Songs'/><category scheme='http://www.blogger.com/atom/ns#' term='Bob Marley'/><category scheme='http://www.blogger.com/atom/ns#' term='Lyrics'/><title type='text'></title><content type='html'>Just wanted to share this song with you.(of course along with the lyrics).&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;br /&gt;&lt;object width="425" height="344"&gt;&lt;param name="movie" value="http://www.youtube.com/v/6aRuqozNMmQ&amp;amp;hl=en_US&amp;amp;fs=1&amp;amp;"&gt;&lt;param name="allowFullScreen" value="true"&gt;&lt;param name="allowscriptaccess" value="always"&gt;&lt;embed src="http://www.youtube.com/v/6aRuqozNMmQ&amp;amp;hl=en_US&amp;amp;fs=1&amp;amp;" type="application/x-shockwave-flash" allowscriptaccess="always" allowfullscreen="true" width="425" height="344"&gt;&lt;/embed&gt;&lt;/object&gt;&lt;br /&gt;&lt;br /&gt;Get up, stand up: stand up for your rights!&lt;br /&gt;Get up, stand up: stand up for your rights!&lt;br /&gt;Get up, stand up: stand up for your rights!&lt;br /&gt;Get up, stand up: don't give up the fight!&lt;br /&gt;&lt;br /&gt;Preacherman, don't tell me,&lt;br /&gt;Heaven is under the earth.&lt;br /&gt;I know you don't know&lt;br /&gt;What life is really worth.&lt;br /&gt;It's not all that glitters is gold;&lt;br /&gt;'Alf the story has never been told:&lt;br /&gt;So now you see the light, eh!&lt;br /&gt;Stand up for your rights. Come on!&lt;br /&gt;&lt;br /&gt;Get up, stand up: stand up for your rights!&lt;br /&gt;Get up, stand up: don't give up the fight!&lt;br /&gt;Get up, stand up: stand up for your rights!&lt;br /&gt;Get up, stand up: don't give up the fight!&lt;br /&gt;&lt;br /&gt;Most people think,&lt;br /&gt;Great God will come from the skies,&lt;br /&gt;Take away everything&lt;br /&gt;And make everybody feel high.&lt;br /&gt;But if you know what life is worth,&lt;br /&gt;You will look for yours on earth:&lt;br /&gt;And now you see the light,&lt;br /&gt;You stand up for your rights. Jah!&lt;br /&gt;&lt;br /&gt;Get up, stand up! (Jah, Jah!)&lt;br /&gt;Stand up for your rights! (Oh-hoo!)&lt;br /&gt;Get up, stand up! (Get up, stand up!)&lt;br /&gt;Don't give up the fight! (Life is your right!)&lt;br /&gt;Get up, stand up! (So we can't give up the fight!)&lt;br /&gt;Stand up for your rights! (Lord, Lord!)&lt;br /&gt;Get up, stand up! (Keep on struggling on!)&lt;br /&gt;Don't give up the fight! (Yeah!)&lt;br /&gt;&lt;br /&gt;We sick an' tired of-a your ism-skism game -&lt;br /&gt;Dyin' 'n' goin' to heaven in-a Jesus' name, Lord.&lt;br /&gt;We know when we understand:&lt;br /&gt;Almighty God is a living man.&lt;br /&gt;You can fool some people sometimes,&lt;br /&gt;But you can't fool all the people all the time.&lt;br /&gt;So now we see the light (What you gonna do?),&lt;br /&gt;We gonna stand up for our rights! (Yeah, yeah, yeah!)&lt;br /&gt;&lt;br /&gt;So you better:&lt;br /&gt;Get up, stand up! (In the morning! Git it up!)&lt;br /&gt;Stand up for your rights! (Stand up for our rights!)&lt;br /&gt;Get up, stand up!&lt;br /&gt;Don't give up the fight! (Don't give it up, don't give it up!)&lt;br /&gt;Get up, stand up! (Get up, stand up!)&lt;br /&gt;Stand up for your rights! (Get up, stand up!)&lt;br /&gt;Get up, stand up! ( ... )&lt;br /&gt;Don't give up the fight! (Get up, stand up!)&lt;br /&gt;Get up, stand up! ( ... )&lt;br /&gt;Stand up for your rights!&lt;br /&gt;Get up, stand up!&lt;br /&gt;Don't give up the fight!&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;&lt;br /&gt;&lt;/div&gt;&lt;div&gt;The song was frequently performed at Marley's concerts, often as the last song. "Get Up, Stand Up" was also the last song Marley ever performed on stage on September 23, 1980  before He died at Cedars of Lebanon Hospital in Miami on  May 11, 1981 at the age of 36.&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6448474996796364360-6880236204815473243?l=shashindrasri.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://shashindrasri.blogspot.com/feeds/6880236204815473243/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://shashindrasri.blogspot.com/2010/02/just-wanted-to-share-this-song-with-you.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/6880236204815473243'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/6880236204815473243'/><link rel='alternate' type='text/html' href='http://shashindrasri.blogspot.com/2010/02/just-wanted-to-share-this-song-with-you.html' title=''/><author><name>Shashindra Srimal</name><uri>http://www.blogger.com/profile/00275962757916668524</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-6448474996796364360.post-820190567674462284</id><published>2010-02-01T17:45:00.000+05:30</published><updated>2010-02-01T23:00:34.052+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='palindromes'/><title type='text'>Palindromes</title><content type='html'>&lt;div&gt;&lt;div style="text-align: center; "&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;"Ah, Satan sees Natasha"&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&lt;div style="text-align: center; "&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;"Do geese see God?"&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&lt;div style="text-align: center; "&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;"No devil lived on"&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&lt;div style="text-align: center; "&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: left; "&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;Noticed something weird about above sentences ? If not read the sentence from the end (forgetting the punctuations and spaces). You'll get the same sentence.These are named palindromes . More generally a &lt;/b&gt;&lt;/span&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;palindrome&lt;/span&gt;&lt;/b&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt; is a word, phrase, number or other sequence of units that can be read the same way in either direction (the adjustment of punctuation and spaces between words is generally permitted) .&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: left; "&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;There are many types of palindromes.Most simple ones are the character by character palindromic words such as &lt;/b&gt;&lt;/span&gt;&lt;i&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;rotator,&lt;/span&gt;&lt;/b&gt;&lt;span class="Apple-style-span" style="font-style: normal; "&gt;&lt;i&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;radar,racecar&lt;/span&gt;&lt;/b&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt; .&lt;/b&gt;&lt;/span&gt;&lt;/i&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;The next type is the palindromic phrases given at the top.Following are some more examples.&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div style="text-align: center; "&gt;&lt;i&gt;&lt;span class="Apple-style-span" style="font-style: normal; "&gt;&lt;span style="line-height: 24px; "&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;"Anne, I vote more cars race Rome to Vienna"&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div style="text-align: center; "&gt;&lt;i&gt;&lt;span class="Apple-style-span" style="font-style: normal; "&gt;&lt;span style="line-height: 24px; "&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;"Rats live on no evil star"&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div style="text-align: center; "&gt;&lt;i&gt;&lt;span class="Apple-style-span" style="font-style: normal; "&gt;&lt;span style="line-height: 24px; "&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;"Step on no pets"&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;div style="text-align: center; "&gt;&lt;i&gt;&lt;span class="Apple-style-span" style="font-style: normal; "&gt;&lt;span style="line-height: 24px; "&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;"&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="b"&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;Murder for a jar of red rum"&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/i&gt;&lt;/div&gt;&lt;/div&gt;&lt;div&gt;&lt;div style="text-align: left; "&gt;&lt;span style="line-height: 24px; "&gt;&lt;span class="b"&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;There are some word units which forms palindromic sentences.In this case the whole word should be taken in to consideration rather than individual characters.Following are some examples.&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: center; "&gt;&lt;span style="line-height: 24px; "&gt;&lt;span class="b"&gt;&lt;a name="Palindrome_List"&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;"Fall leaves after leaves fall"&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: center; "&gt;&lt;span style="line-height: 24px; "&gt;&lt;span class="b"&gt;&lt;a name="Palindrome_List"&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;"First Ladies rule the State and state the rule: ladies first"&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: center; "&gt;&lt;span style="line-height: 24px; "&gt;&lt;span class="b"&gt;&lt;a name="Palindrome_List"&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;"&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;Please me by standing by me please"&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: center; "&gt;&lt;span style="line-height: 24px; "&gt;&lt;span class="b"&gt;&lt;a name="Palindrome_List"&gt;&lt;span class="b"&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;"&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;Blessed are they that believe they are blessed"&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: left; "&gt;&lt;span style="line-height: 24px; "&gt;&lt;span class="b"&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;There are palindromic numbers and palindromic dates.And surprisingly there are palindromic names as well.&lt;/b&gt;&lt;/span&gt;&lt;span class="Apple-style-span" style="line-height: normal; "&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;Lon Nol (1913-1985) was Prime Minister of Cambodia. Nisio Isin is a Japanese novelist and manga writer.&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: left; "&gt;&lt;span style="line-height: 24px; "&gt;&lt;span class="b"&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span" style="line-height: normal; "&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;Palindromes can be found in other languages as well.As an example words like "රතු වතුර" and "වඩු මඩුව" in sinhala are palindromic.The first ever historical palindrome was a latin graffiti which dates back at least to 79 A.D.&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: left; "&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;One may wonder about the usefulness of these palindromes (well, you can read these words or sentences from left to right or right to left with the same meaning ,which is an advantage :p ).But palindromes are very useful in the various fields such as maths ,microbiology and music.Especially in microbiology palindromes can be found in most genomes and genetic instructions.It is easy to handle palindromes due to their symmetry.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: left; "&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;Searching and working with palindromes is an interesting thing to do.it is a fascinating area which creates the beauty of words.Some poets have tried to come up with palindromic poems as well.&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://www.erikahammerschmidt.com/erika/palindrome003.jpg"&gt;&lt;img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 425px; height: 388px;" src="http://www.erikahammerschmidt.com/erika/palindrome003.jpg" border="0" alt="" /&gt;&lt;/a&gt;&lt;div style="text-align: left;"&gt;&lt;b&gt;&lt;span class="Apple-style-span" style="font-size: small;"&gt;T&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;span class="Apple-style-span" style="font-size: small;"&gt;here are hundreds of palindromes in English language and many of those can be found by a simple search in the internet.out of those the following palindromes are very famous.&lt;/span&gt;&lt;/b&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;p style="text-align: center;"&gt;&lt;b&gt;&lt;span class="Apple-style-span" style="font-size: small;"&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;"Able was I ere I saw Elba"&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p style="text-align: center;"&gt;&lt;b&gt;&lt;span class="Apple-style-span" style="font-size: small;"&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;“Madam, I'm Adam”&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt; &lt;p style="text-align: center;"&gt;&lt;b&gt;&lt;span class="Apple-style-span" style="font-size: small;"&gt;and Eve's reply was&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;span class="Apple-style-span" style="font-size: small;"&gt;, &lt;/span&gt;&lt;span class="Apple-style-span" style="font-size: small;"&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;"Name no one man."&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;b&gt;&lt;span class="Apple-style-span" style="font-size: small;"&gt;&lt;sup class="Template-Fact" title="This claim needs references to reliable sources from August 2009" style="white-space: nowrap;"&gt;&lt;/sup&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p&gt;&lt;b&gt;&lt;span class="Apple-style-span" style="font-size: small;"&gt;And finally let me finish this post with the most famous palindrome of the world,which has given rise to more similar palindromes.It was  published in the November 13 1948 issue of "&lt;/span&gt;&lt;i&gt;&lt;span class="Apple-style-span" style="font-size: small;"&gt;Notes &amp;amp; Queries"  &lt;/span&gt;&lt;span class="Apple-style-span" style="font-style: normal; "&gt;&lt;b&gt;&lt;span class="Apple-style-span" style="font-size: small;"&gt;by Leigh Merce&lt;/span&gt;&lt;b&gt;&lt;span class="Apple-style-span" style="font-size: small;"&gt;.&lt;/span&gt;&lt;/b&gt;&lt;/b&gt;&lt;/span&gt;&lt;/i&gt;&lt;/b&gt;&lt;/p&gt;&lt;p style="text-align: center;"&gt;&lt;b class="b"&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;&lt;span class="Apple-style-span" style="font-size: medium;"&gt;"A man, a plan, a canal – Panama."&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p style="text-align: center;"&gt;&lt;b class="b"&gt;&lt;span class="Apple-style-span"  style=" ;font-size:small;"&gt;&lt;span class="Apple-style-span"  style="color:#3366FF;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p&gt;&lt;b class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;p&gt;&lt;b class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/b&gt;&lt;/p&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span style="line-height: 150%;"&gt;&lt;span class="b"&gt;&lt;a name="Palindrome_List"&gt;&lt;span class="b"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span class="Apple-style-span" style="line-height: 24px;"&gt;&lt;b&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: left;"&gt;&lt;span class="Apple-style-span"  style="font-size:small;"&gt;&lt;b&gt;&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="text-align: center;"&gt;&lt;span class="Apple-style-span"  style="color:#33CC00;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6448474996796364360-820190567674462284?l=shashindrasri.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://shashindrasri.blogspot.com/feeds/820190567674462284/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://shashindrasri.blogspot.com/2010/02/palindromes.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/820190567674462284'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/6448474996796364360/posts/default/820190567674462284'/><link rel='alternate' type='text/html' href='http://shashindrasri.blogspot.com/2010/02/palindromes.html' title='Palindromes'/><author><name>Shashindra Srimal</name><uri>http://www.blogger.com/profile/00275962757916668524</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry></feed>
