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Timeline for How to solve $f(f(x)) = \cos(x)$?

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Mar 5, 2022 at 15:25 history edited Daniele Tampieri CC BY-SA 4.0
Math Jaxed + minor edits
Mar 10, 2010 at 13:08 comment added Gerald Edgar As noted by Sergei, since cos is decreasing near its real fixed point, the Schr"oder solution must have imaginary coefficient there, so it does not yield a real solution.
Mar 9, 2010 at 18:39 comment added user4503 Just as another reference: mathworld.wolfram.com/FixedPoint.html gives a list of fixed points for a lot of elementary function
Mar 9, 2010 at 18:35 comment added user4503 So I found the fixed point of cos(x) is 0.739085133...: mathworld.wolfram.com/DottieNumber.html en.wikipedia.org/wiki/Fixed_point_(mathematics) Now I only have to understand the method of Schröder to solve my problem..
Mar 9, 2010 at 14:47 history answered Gerald Edgar CC BY-SA 2.5