Hello, I have about 80 equations for x and 80 equations for y. They are called Sx_0 .. Sx_80 for x and Sy_0 .. Sy_80. They all depend on parameter m.
I want to define a new piecewise function P such as,
P evaluated at m=i is equal to [ Sx_floor(i) evaluated at i , Sy_floor(i) evaluated at i ]
P(20.4) would be equal to [ Sx_20 evaluated at 20.4 , Sy_20 evaluated at 20.4]
P(37.9) would be equal to [ Sx_37 evaluated at 37.9 , Sy_37 evaluated at 37.9]
I need this because I want to compute arclength of the function P, let's say, from m=2 to m=52. The arclength goes through many pieces of the function, so I need a way to take this into account.
Thank you very much