Talk:Continued fraction: Difference between revisions

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→‎Gold Credit for pi and The Harmonic Series: fixed a typo.

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rosettacode>Gerard Schildberger

Revision as of 02:00, 16 October 2012 (view source) Grondilu (talk \| contribs) (→‎Moebius function) ← Older edit		Latest revision as of 05:05, 16 April 2016 (view source) rosettacode>Gerard Schildberger m (→‎Gold Credit for pi and The Harmonic Series: fixed a typo.)
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Line 28: As I think about it, I realize there is a recursive property: :<math>M_n(x) = M_{n-1}(\frac{b_n}{a_n+x})</math> That should make things much easier than doing the whole algebraic development.~~--[[User:Grondilu\|Grondilu]] 02:00, 16 October 2012 (UTC)~~ --[[User:Grondilu\|Grondilu]] 02:00, 16 October 2012 (UTC) :Thanks for the reference, using a continued fraction as a sort of index into a tree structure is interesting. Do you intend to implement it?--[[User:Nigel Galloway\|Nigel Galloway]] 11:52, 23 October 2012 (UTC) ::I tried with one of my projects [http://github.com/grondilu/libbitcoin-perl on github] but I encountered a few technical difficulties so I put it on hold. I'll go back to it someday.--[[User:Grondilu\|Grondilu]] 14:38, 4 November 2012 (UTC) == creating a continued fraction == Line 52 ⟶ 55: :<math>\pi/2 = 1 + \cfrac{1}{1 + \cfrac{1}{1/2 + \cfrac{1}{1/3+ \ddots}}}</math> This was published in American ~~Mathmatical~~Mathematical Monthly, December 2008 by Dr. Tom Picket, an associate Professor in the Physics Faculty of The University of Southern Indiana.--[[User:Nigel Galloway\|Nigel Galloway]] 12:49, 12 September 2012 (UTC) == Arithmetics?? == It's quite complicated, but it can be done. See [http://perl.plover.com/yak/cftalk/ this talk] for instance. A nice library which would hide all the gears behind it would be great. I've never seen any.--[[User:Grondilu\|Grondilu]] 00:05, 22 November 2012 (UTC) == Alternative Perl6 == Great to see another view. Follows a screenshot of the code in my browser: [[File:Perl6.PNG\|center\|Perl6]] Is the strange symbol after infix and line 3 an error with the upload, or do I need a special font?--[[User:Nigel Galloway\|Nigel Galloway]] 12:57, 3 January 2013 (UTC) :It's supposed to be the composition operator <math>\circ</math>, which I copied from [[First-class functions#Perl 6]]. It should be a utf8 grapheme. You can replace it with a simple "o".--[[User:Grondilu\|Grondilu]] 13:13, 3 January 2013 (UTC) : A good unicode font will have it. I believe it's part of the set of symbols that were originally in the Symbol font, or maybe one of the *dings fonts. Unicode's full of interesting stuff! (Pity that support for it is still distinctly patchy.) –[[User:Dkf\|Donal Fellows]] 15:15, 3 January 2013 (UTC)