Timeline for What is the indefinite sum of tan(x)?
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| Mar 10, 2017 at 9:42 | history | edited | CommunityBot |
replaced http://lh6.ggpht.com/ with https://lh6.ggpht.com/
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| Oct 21, 2010 at 4:13 | comment | added | Alison Miller | (er, make that "when x + 355 and x + 113 pi are not close to odd multiples of pi/2, that is, the points of discontinuity of tan x"). | |
| Oct 20, 2010 at 22:01 | comment | added | Alison Miller | The observed almost periodicity with period about 355 should relate to the fact that pi = 355/113, so that tan(x + 355) ~= tan(x + 113pi) = tan x. Note, though, that this the approximation above is only good when x + 355 and x + 113pi are not close to multiples of pi. If you were to look at this function on a larger scale you'd probably also see something like almost periodicity with longer periods corresponding to better rational approximations of pi (although 355/113 is exceptionally close to pi, so you'dhave to zoom out a lot to get a better one, and it might be less impressive.) | |
| Oct 20, 2010 at 21:52 | history | edited | Roy Maclean | CC BY-SA 2.5 |
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| Oct 20, 2010 at 21:36 | history | edited | Roy Maclean | CC BY-SA 2.5 |
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| Oct 20, 2010 at 21:22 | history | edited | Roy Maclean | CC BY-SA 2.5 |
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| Oct 20, 2010 at 21:11 | history | answered | Roy Maclean | CC BY-SA 2.5 |