X-Google-Thread: 13235db79e,b9eb820bf7df79d2,start X-Google-Attributes: gid13235db79e,public,usenet X-Google-NewGroupId: yes X-Google-Language: ENGLISH,ASCII-7-bit Path: g2news2.google.com!news2.google.com!border1.nntp.dca.giganews.com!border2.nntp.dca.giganews.com!nntp.giganews.com!backlog2.nntp.dca.giganews.com!nntp.siminn.is!news.siminn.is.POSTED!not-for-mail NNTP-Posting-Date: Sun, 17 May 2009 21:43:19 -0500 Newsgroups: alt.ascii-art Subject: ASCII math From: Johann `Myrkraverk' Oskarsson Date: Mon, 18 May 2009 02:41:06 +0000 Message-ID: User-Agent: Gnus/5.1008 (Gnus v5.10.8) SXEmacs/22.1.9 (usg-unix-v) Cancel-Lock: sha1:RXx2559AyvX+PrIYZkO29eWua0c= MIME-Version: 1.0 Content-Type: text/plain; charset=us-ascii Lines: 57 X-Usenet-Provider: http://www.giganews.com X-Trace: sv3-on4sxBKi3GW3d8oOeSHAPsHLYp4dC9hVt/ycshBARHgAfVggE8kmk8LwJT4z5j2u7naCfrmzBjP9SKA!SerbbDZJSUAqdbyT7wPUFHIUAqYpEKshHbcJP18lSYszKYjnvHuhW4ik6k/iS7DbHB8= X-Abuse-and-DMCA-Info: Please be sure to forward a copy of ALL headers X-Abuse-and-DMCA-Info: Otherwise we will be unable to process your complaint properly X-Postfilter: 1.3.39 X-Original-Bytes: 2529 Xref: g2news2.google.com alt.ascii-art:1049 Hi all, For the few of you that enjoy something like this. n .---- \ n(n + 1) > i = -------- / 2 '---- i=1 Proof by induction. ------------------- Not a real proof, since the text is missing, but you get the idea. 1 .---- \ 1(1 + 1) > 1 = -------- = 1 / 2 '---- i=1 n+1 n .---- .---- \ \ n(n + 1) > i = > i + n + 1 = -------- + n + 1 / / 2 '---- '---- i=1 i=1 n(n + 1) 2(n + 1) (n + 1)(n + 2) = -------- + -------- = -------------- 2 2 2 (n + 1)(( n + 1) + 1) = --------------------- _ 2 |_| -- .--------------------------. ,-'""`-. ( Totally Evil Ascii Art ) ; ,' : /.----------. `------------------. : : /' ( http://www.myrkraverk.com/ascii/ ) : (_) (_) ; .----------` ,------' `. '` .' ( Johann `Myrkraverk' Oskarsson `--------. :`++++'; `-----------------. ) ``..'' `-----------------------------'