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I just read a physics paper and there it expands signum of a sine function as below:

sgn(sin(wt))=(4/pi)*{sin(wt)+(1/3)*sin(3wt)+(1/5)*sin(5wt)+.......}

How can we expand sgn(sin(wt)) like this?

Thanks.

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# Series expansion of the signum function of sine

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