Home License -- for personal use only. Not for government, academic, research, commercial, or other organizational use. 07-Oct-2025 17:44:04 ball_monte_carlo_test(): MATLAB/Octave version 9.11.0.2358333 (R2021b) Update 7 Test ball_monte_carlo(). ball_monte_carlo_test01(): ball01_sample() estimates integrals over the interior of the unit ball using the Monte Carlo method. N 1 X^2 Y^2 Z^2 X^4 X^2Y^2 Z^4 1 4.18879 1.50929 1.88201 0.421449 0.543825 0.678122 0.0424034 2 4.18879 0.875517 2.00124 0.633598 0.358706 0.436305 0.176908 4 4.18879 1.0721 0.689051 0.834668 0.376673 0.216907 0.599158 8 4.18879 0.879163 1.02923 1.16523 0.50772 0.0982451 0.616525 16 4.18879 0.596387 0.954579 0.806599 0.184573 0.0903081 0.250232 32 4.18879 0.985776 0.903654 0.9625 0.462281 0.130331 0.457627 64 4.18879 0.852192 0.883686 0.796761 0.366688 0.118865 0.416843 128 4.18879 0.788137 0.894349 0.810411 0.32307 0.122598 0.328014 256 4.18879 0.781365 0.829108 0.861136 0.317106 0.1172 0.387592 512 4.18879 0.793963 0.854539 0.868037 0.339526 0.115995 0.382715 1024 4.18879 0.872563 0.843429 0.814841 0.385903 0.123763 0.338233 2048 4.18879 0.85395 0.813703 0.819226 0.367996 0.118051 0.350617 4096 4.18879 0.853676 0.833416 0.82754 0.371777 0.119124 0.350425 8192 4.18879 0.828868 0.84214 0.833282 0.351718 0.119824 0.356466 16384 4.18879 0.838113 0.834065 0.840512 0.359695 0.118329 0.362548 32768 4.18879 0.836489 0.833602 0.83761 0.358871 0.118369 0.358378 65536 4.18879 0.833907 0.846282 0.833432 0.356698 0.120003 0.355888 Exact 4.18879 0.837758 0.837758 0.837758 0.359039 0.11968 0.359039 ball_monte_carlo_test(): Normal end of execution. 07-Oct-2025 17:44:05