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Keywords: 2 cfs coincide over a finite interval.svg en Example of 2 characteristic functions which coincide over the region -1 1 but are different elsewhere own Stpasha Other fields Matplotlib + Author Ika 2013-07-23 import numpy as np import matplotlib pyplot as plt import scipy special as sp X np arange -5 5 0 01 plt clf plt figure figsize 4 3 2 plt axes 0 17 0 13 0 79 0 8 plt hold True Q Y np exp -np abs X a plt plot X Y '-' color 'blue' lw 2 Q append a Y for x in X if np exp -np abs x > 2/ np exp 1 1+np abs x Y append np exp -np abs x else Y append 2/ np exp 1 1+np abs x a plt plot X Y '-' color 'purple' lw 2 Q append a plt xlabel t plt ylabel r \mathrm Cf t bx plt legend Q r \varphi_1 e - ”ƒt ”ƒ r \max\ \varphi_1 \frac 2 1+ ”ƒt ”ƒ e \ \ numpoints 1 handlelen 0 05 handletextpad 0 4 \ loc upper right prop 'size' 10 bx draw_frame False plt xlim -5 5 plt savefig cfs_coincide_over_a_finite_interval pdf plt savefig cfs_coincide_over_a_finite_interval eps plt savefig cfs_coincide_over_a_finite_interval svg Probability distributions
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