Re: mathematical expressions
From Bill Taylor <mat...@math.canterbury.ac.nz>
· alt.ascii-art
· 24 Aug 2001 03:48 · View full thread
· report
Michael Schierl <sch...@gmx.de> writes:
|> >|> > .-----------------------------------------------------------
|> >|> > / .------------------------------------------------
|> >|> > / / .-------------------------------------
|> >|> > / / / .--------------------------
|> >|> > / / / / .---------------
|> >|> > / 1 + 1 / 1 + 2 / 1 + 3 / 1 + 4 / 1 + 5 /~~~...
|> >|> > v v v v v v
|> >|>
|> >|>
|> > they are all square roots.
|> i would say gur erfhyg vf rknpgyl gjb. (ROT13)
You are correct! Here is your chocolate candy...
____
___ .' /:::. ___
\ "-. / (:::-'\ .-" /
> -=.\/:\__\/__ \/.=- <
> -='/\::::/\:::\/\'=- <
/__.-' \::' )::/ '-.__\
'.__/::'
|> it is simple to determine this by a small program
Yes, you can do that; though some of us might say that's a little bit cheating.
Of course, once one guesses the answer, it's not too hard to prove,
(say using induction).
The fascinating thing about these infinitely nested square roots is how
incredibly rapidly the numbers inside can increase, yet still have the
whole thing converge. Much more than infinite series and products and things.
The numbers can be as high as c^(2^n) or so. Very unusual in math.
Also interesting is that the "2" there cannot be increased,
though the constant "c" can be anything. Weird huh!?
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Bill Taylor W.T...@math.canterbury.ac.nz
-----------------------------------------------------------------------------
And Abraham looked upon the Lord and said:
"We are your chosen people, and you want us to cut off the tips of our WHAT?!"
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f996b,43829188203eedab X-Google-Attributes: gidf996b,public X-Google-ArrivalTime: 2001-08-23 20:50:09 PST Path: archiver1.google.com!newsfeed.google.com!newsfeed.stanford.edu!news-spur1.maxwell.syr.edu!news.maxwell.syr.edu!feed2.news.rcn.net!rcn!news.voicenet.com!news-out.spamkiller.net!propagator-la!news-in.superfeed.net!newsfeed01.tsnz.net!canterbury.ac.nz!mathwft From: mat...@math.canterbury.ac.nz (Bill Taylor) Newsgroups: alt.ascii-art Subject: Re: mathematical expressions Date: 24 Aug 2001 03:48:19 GMT Organization: Department of Mathematics and Statistics, University of Canterbury, Christchurch, NewZealand Lines: 46 Message-ID: <9m4iq3$p1s$3...@cantuc.canterbury.ac.nz> References: <3B8...@rz.uni-karlsruhe.de> <9lsjqs$4in$1...@cantuc.canterbury.ac.nz> <3B8...@rz.uni-karlsruhe.de> <9ltdks$cs7$1...@cantuc.canterbury.ac.nz> <slr...@localhost.localdomain> <9lv7lr$18d$1...@cantuc.canterbury.ac.nz> <9m3tk1$8g26$1...@ID-39741.news.dfncis.de> NNTP-Posting-Host: e220-0.math.canterbury.ac.nz X-Newsreader: xrn 8.02 Xref: archiver1.google.com alt.ascii-art:7118
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