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5. (20 pts) Implement an indicator function In many applications, there is need for an indicator function, which is interval and 0 elsewhere. More precisely,

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5. (20 pts) Implement an indicator function In many applications, there is need for an indicator function, which is interval and 0 elsewhere. More precisely, we define over some I(x: L,R) 0, elsewhere 1. a) Make two Python implementations of such an indicator function, one with a direct test if x belongs [L, R] and one that expresses the indicator function in terms of Heaviside functions: 1(x:L,R)= H(x-L)H(R-X) 2. b) Make a test function for verifying the implementation of the functions in a)

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