User pengo - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T04:02:47Z http://mathoverflow.net/feeds/user/9462 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/41239/how-to-write-the-sine-functions-continued-fraction-in-different-notations How to write the sine function's continued fraction in different notations? Pengo 2010-10-06T07:08:36Z 2010-10-06T12:59:14Z <p>Hi.</p> <p>I'd like to add some other notations for the "continued fraction" section of Wikipedia's Sine article:</p> <p><a href="http://en.wikipedia.org/wiki/Sine#Continued_fraction" rel="nofollow">http://en.wikipedia.org/wiki/Sine#Continued_fraction</a></p> <p>There are other notation styles listed here:</p> <p><a href="http://en.wikipedia.org/wiki/Generalized_continued_fraction#Notation" rel="nofollow">http://en.wikipedia.org/wiki/Generalized_continued_fraction#Notation</a></p> <p>I'd especially like something that writes it in a more general form.</p> <p>Any suggestions for an image/diagram for this section would be appreciated too.</p> <p>Thanks.</p> http://mathoverflow.net/questions/39692/are-there-any-uses-for-complex-sine-sin-z Are there any uses for complex sine? [sin z] Pengo 2010-09-23T05:16:25Z 2010-09-23T12:03:43Z <p>The sine function can take a complex argument. e.g. sin(x + iy)</p> <p>But does it get used that way in any field? Either practical (e.g. electrical engineering) or in other fields of math? Naturally, I am not interested in trivial examples where the real or imaginary part of the argument is always zero.</p> <p>I've asked elsewhere and the best anyone has come up with is that it can be a 2D solution of the Laplace equation. Anything more substantial? Any other interesting properties? Anyone stumbled upon it in deep in some analysis somewhere? Or is it really never used?</p> http://mathoverflow.net/questions/39682/what-is-the-strategy-for-all-words-valid-scrabble/39693#39693 Answer by Pengo for What is the strategy for "all words valid" scrabble? Pengo 2010-09-23T05:26:21Z 2010-09-23T05:26:21Z <p>I'll try to kick things off...</p> <p>Are there still double/triple letter/word score squares? I imagine the strategy would focus on putting down all your letters while aiming for these bonus squares while trying not to open up the board (to restrict your opponent's access to them)?</p> http://mathoverflow.net/questions/41239/how-to-write-the-sine-functions-continued-fraction-in-different-notations Comment by Pengo Pengo 2010-10-07T00:34:57Z 2010-10-07T00:34:57Z It could be written in a more general form. I'd expand but this topic is closed. http://mathoverflow.net/questions/41239/how-to-write-the-sine-functions-continued-fraction-in-different-notations Comment by Pengo Pengo 2010-10-06T12:33:46Z 2010-10-06T12:33:46Z Oh, I get it. You're not ment to say why you're asking. I'll remember that next time. http://mathoverflow.net/questions/39692/are-there-any-uses-for-complex-sine-sin-z/39694#39694 Comment by Pengo Pengo 2010-10-02T07:30:05Z 2010-10-02T07:30:05Z Thanks for this answer. I've attempted to incorporate it in the Wikipedia article, but it's still a bit beyond me, so please help with the wording if it's off. <a href="http://en.wikipedia.org/wiki/Sine#Usage_of_complex_sin" rel="nofollow">en.wikipedia.org/wiki/Sine#Usage_of_complex_sin</a>