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Piecewise continuous functions.

Topic:
Functions
Varius piecewise continuous functions. The unit step function can be created using the sign (+ or -) of x as follows: u(x) = 0.5[ sign(x) + 1] = 0.5*(1+1) = 1, for x>0 u(x) = 0.5*(-1+1) = 0, for x<0.