Hi, please help me with this problem, please explain me step by step and write with very good calligraphy.

I have a code in python that makes cubic spline interpolation, I need that you help me with an explanation of how it works, because I dont understando, also I need to change the ludecomp3 and lusolve3 by scipy lu and solve banded, but i dont know how to do it, if you help me with this I would be very grateful. Thank you very much.

# module cubicSpline 2 k- curvatures (xData,yData). Returns the curvatures of cubic spline at its knots. 4 yevalSpline (xData,yData,k,x) Evaluates cubic spline at x. The curvatures k can be computed with the function 'curvatures 7 8 9 from numpy import zeros, ones 10 from modules. LUdecomp3 import * 12 def curvatures (xData,yData): 13 14 15 16 17 18 19 20 21 n = len(XData) c zeros (n) dones (n+1) e = zeros (n) k zeros (n+1) -1 d[1:n]2.0 (xData [0:n-1] xData [2:n+1]) /(xData[0:n-1]xData[1:n]) 6.0 (yData[1:n] yData[2:n+1]) / (xData[1:n] xData[2:n+1]) 23 24 25 26 27 LUdecomp3 (c, d, e) LUsolve3 (c, d, e, k) return k def evalspline(xData,yData,k,x): def findSegment (xData,x): Left = 0 Right = len(XData)-1 while 1: if (Right-iLeft)