User:Marco Polo
Friends
Me
If Wikimedia had invented its "multilogin" setup before I had created this account, I would not be in this predicament, but alas, it was not to be. I am known under two (2) usernames. At the risk of being accused as a sockpuppeteer, I make this known here. The reason is that this username is taken on a few sister sites, so I use an alternate name there, but once the multilogin came about, My alternate obtained similarlynamed accounts here and elsewhere. As a result, I now contribute using both users, as whim strikes me, but mostly my new one, since it does not have any name clashes. So look not here, but here for my recent contributions.
Macro Polo
 Wikipedia  Marco Polo (talk  contribs)
 Wikisource  Marco Polo (talk  contribs)
Di Gama
 Wikipedia  Di Gama (talk  contribs)
 Wiktionary  Di Gama (talk  contribs)
 Wikisource  Di Gama (talk  contribs)
 Wookieepedia  Darth Gama (talk  contribs)
Destroyer 45
Wikipedia  Destroyer 45 (talk  contribs)
Wookieepedia  Star Destroyer 2500 (talk  contribs)
Esperanza
A Proof that π really is irrational
Proof: Suppose , where and are integers. Consider the functions defined on by
Clearly for all . Let denote the th derivative of . Note that
By repeatedly applying integration by parts, the definite integrals of the functions can be seen to have integer values. But are strictly positive, except for the two points 0 and , and these functions are bounded above by for all sufficiently large n. Thus for a large value of n, the definite integral of is some value strictly between 0 and 1, a contradiction.
Userboxes
Template:Babel  Template:Babel
Template:Babel Template:Babel Template:Babel

Template:Babel
Template:Boxboxtop Template:User iso15924 Template:User iso15924 Template:Boxbottom Template:Babel
