Smooth Transitions between two functions In python, there are several fucntions permit us to make a smooth between two functions. It include: polyfit, curve_fit. We give examples of how to use polyfit and curvefit to generate smooth data. 1. Use curve_fit #import two signals to mix y1 = [ 1.0000 , 0.8138 , 0.5838 , 0.3408 , 0.1145 , - 0.0741 , - 0.2172 , - 0.3202 , - 0.3966 , - 0.4621 , - 0.5281 , - 0.5991 , - 0.6735 , - 0.7460 , - 0.8119 , - 0.8687 , - 0.9161 , - 0.9547 , - 0.9835 , - 0.9999 , - 1.0000 , - 0.9816 , - 0.9455 , - 0.8967 , - 0.8419 , - 0.7885 , - 0.7416 , - 0.7024 , - 0.6689 , - 0.6369 , - 0.6034 , - 0.5673 , - 0.5310 , - 0.4991 , - 0.4765 , - 0.4664 , - 0.4689 , - 0.4802 , - 0.4935 , - 0.5014 , - 0.4974 , - 0.4780 , - 0.4440 , - 0.3993 , - 0.3499 , - 0.3021 , - 0.2601 , - 0.2257 , - 0.1980 , - 0.1747 , - 0.1539 , - 0.1345 , - 0.1170 , - 0.1024 , - 0.0920 , - 0.086...