Home License -- for personal use only. Not for government, academic, research, commercial, or other organizational use. 07-Oct-2025 17:19:58 annulus_distance_test(): MATLAB/Octave version 9.11.0.2358333 (R2021b) Update 7. Test annulus_distance() Using N = 10000 sample points, R1 = 0, R2 = 1 Estimated mean distance = 0.899752 Estimated variance = 0.182083 Using N = 10000 sample points, R1 = 0.1, R2 = 1 Estimated mean distance = 0.911835 Estimated variance = 0.183878 Using N = 10000 sample points, R1 = 0.2, R2 = 1 Estimated mean distance = 0.921584 Estimated variance = 0.184193 Using N = 10000 sample points, R1 = 0.3, R2 = 1 Estimated mean distance = 0.941943 Estimated variance = 0.19724 Using N = 10000 sample points, R1 = 0.4, R2 = 1 Estimated mean distance = 0.9752 Estimated variance = 0.204589 Using N = 10000 sample points, R1 = 0.5, R2 = 1 Estimated mean distance = 1.01706 Estimated variance = 0.22423 Using N = 10000 sample points, R1 = 0.6, R2 = 1 Estimated mean distance = 1.04287 Estimated variance = 0.251307 Using N = 10000 sample points, R1 = 0.7, R2 = 1 Estimated mean distance = 1.11173 Estimated variance = 0.274347 Using N = 10000 sample points, R1 = 0.8, R2 = 1 Estimated mean distance = 1.15619 Estimated variance = 0.302394 Using N = 10000 sample points, R1 = 0.9, R2 = 1 Estimated mean distance = 1.22083 Estimated variance = 0.340547 Using N = 10000 sample points, R1 = 0.99, R2 = 1 Estimated mean distance = 1.27188 Estimated variance = 0.372456 Graphics saved as "annulus_distance_histogram_0_1.png" Graphics saved as "annulus_distance_histogram_0.1_1.png" Graphics saved as "annulus_distance_histogram_0.2_1.png" Graphics saved as "annulus_distance_histogram_0.3_1.png" Graphics saved as "annulus_distance_histogram_0.4_1.png" Graphics saved as "annulus_distance_histogram_0.5_1.png" Graphics saved as "annulus_distance_histogram_0.6_1.png" Graphics saved as "annulus_distance_histogram_0.7_1.png" Graphics saved as "annulus_distance_histogram_0.8_1.png" Graphics saved as "annulus_distance_histogram_0.9_1.png" Graphics saved as "annulus_distance_histogram_0.99_1.png" annulus_distance_test(): Normal end of execution. 07-Oct-2025 17:20:07