>> ball_volume_monte_carlo ( 4, 123456789 )
26-Sep-2010 12:06:17

BALL_VOLUME_MONTE_CARLO:
  MATLAB version
  Estimate the volume of the unit sphere using
  a Monte Carlo procedure.

  The spatial dimension is  4
  The random number seed is 123456789

    Log(N)         N      Estimate         Error

         0         1                 0         4.9
         1         2                 0         4.9
         2         4                 0         4.9
         3         8                 2         2.9
         4        16                 2         2.9
         5        32                 3         1.9
         6        64              4.75        0.18
         7       128               4.5        0.43
         8       256            4.4375         0.5
         9       512            4.6875        0.25
        10      1024          4.640625        0.29
        11      2048          4.765625        0.17
        12      4096         4.9140625       0.021
        13      8192         4.9003906       0.034
        14     16384         4.9296875      0.0051
        15     32768         4.9174805       0.017
        16     65536         4.9597168       0.025
        17    131072         4.9229736       0.012
        18    262144         4.9304199      0.0044
        19    524288         4.9334717      0.0013
        20   1048576         4.9240875       0.011
        21   2097152         4.9298325       0.005
        22   4194304         4.9330788      0.0017
        23   8388608         4.9350414     0.00024
        24  16777216          4.933857     0.00095

        oo        oo         4.9348022           0

BALL_VOLUME_MONTE_CARLO:
  Normal end of execution.

26-Sep-2010 12:06:43
>>