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Mathematics

Fixed Point of E^x=Cos(x)

erinleigh098
Posted 10 years ago

I do not understand how to find the fixed point of a problem in mathematica. I need to find the fixed point of e^x=cosx and I am stuck. If anyone understands fixed points that would be very helpful. thanks

POSTED BY: erinleigh098
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Funny thing: by accident I typed in the following

Plot[Exp[-x] == Cos[x], {x, -1, 10}, PlotLabel -> "Plot[Exp[-x]==Cos[x]]"]

enter image description here

Which is different from

Plot[{Exp[-x], Cos[x]}, {x, -1, 10},  PlotLabel -> "Plot[{Exp[-x],Cos[x]}]"]

enter image description here

Normally I would expect a == b to be a logical expression which is either True or False.

Any explanation for the strange behaviour discovered by accident?

Regards, Wolfgang
POSTED BY: Dr. Wolfgang Hintze

I get an empty plot in Mathemaca 10 running under Linux.
POSTED BY: Daniel Lichtblau
POSTED BY: Dr. Wolfgang Hintze
POSTED BY: Dr. Wolfgang Hintze
POSTED BY: Daniel Lichtblau
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