linspace not dividing equal intervals - Printable Version +- Python Forum (https://python-forum.io) +-- Forum: Python Coding (https://python-forum.io/Forum-Python-Coding) +--- Forum: Data Science (https://python-forum.io/Forum-Data-Science) +--- Thread: linspace not dividing equal intervals (/Thread-linspace-not-dividing-equal-intervals) linspace not dividing equal intervals - sheel - Jan-16-2018 i have written a code to find out effect of order of accuracy on numerical differentiation but when i am trying to use linspace(1,epsilon,100) it is not dividing it into equal interval.here is the code and the plot for the error is also incorrect ```from numpy import * import sys import numpy as np x=1 epsilon=sys.float_info.epsilon/2.0 # machine epsilon h = np.linspace(1,epsilon,1000) e1= (((sin(x)- sin(x-h))/h-cos(x))/cos(x)) #realtive error in first order e2= (((sin(x-2*h)-4*sin(x-h)+3*sin(x))/(2*h)-cos(x))/cos(x)) #realtive error in second order e3= (((2*sin(x+h)+3*sin(x)-6*sin(x-h)+sin(x-2*h))/(6*h)-cos(x))/cos(x)) #realtive error in third order e4 = (((-sin(x-3*h)+6*sin(x-2*h)-18*sin(x-h)+10*sin(x)+3*sin(x+h))/(12*h)-cos(x))/cos(x)) print(h) import matplotlib.pyplot as plt plt.plot(h,e1,'-b',lw=3) plt.plot(h,e2,'-g',lw=3) plt.plot(h,e3,'-m',lw=3) plt.plot(h,e4,'-r',lw=3) plt.xscale('log') plt.yscale('log') plt.xlabel('h') plt.ylabel('Relative error') plt.legend(['first order','second order','third order','fourth order']) plt.title('Effect of order of accuracy on the numerical differentiation') plt.show()```