How one can decompose sin[x] in the interval [0,4 pi]

Siena Erickson

Siena Erickson

Answered question

2022-11-12

How one can decompose s i n [ x ] in the interval [ 0 , 4 π ]

Answer & Explanation

Faith Wise

Faith Wise

Beginner2022-11-13Added 17 answers

For sure:
(1) sin x = sin + ( x ) + sin ( x ) = max ( 0 , sin x ) + min ( 0 , sin x )
and now we just have to integrate twice the previous line to decompose sin x as a sum of a convex and a concave function.

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