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alexmahone
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Give an example of a function which is periodic, non-constant, and yet has no minimal period.
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A periodic function can be non-constant and lack a minimal period, as demonstrated by a function that is non-continuous and satisfies the equation f(x+y) = f(x) + f(y). This function can take the value f(1) = 0 and exhibit periodicity with every rational number serving as a period. The discussion references the Wikipedia article on periodic functions for further clarification. Participants express difficulty in identifying such a function despite the information available. The example provided illustrates the concept effectively.
Hello!
I tried to calculate projections of curl using rotation of coordinate system but I encountered with following problem.
Given:
##rot_xA=\frac{\partial A_z}{\partial y}-\frac{\partial A_y}{\partial z}=0##
##rot_yA=\frac{\partial A_x}{\partial z}-\frac{\partial A_z}{\partial x}=1##
##rot_zA=\frac{\partial A_y}{\partial x}-\frac{\partial A_x}{\partial y}=0##
I rotated ##yz##-plane of this coordinate system by an angle ##45## degrees about ##x##-axis and used rotation matrix to...