088e249a-9ff2-4cea-96e3-c91a33f4b691 39 3 5 auto

&[DATE] &[TIME] - &[FILENAME]

Random("1:number", "2:number") - Returns a "1:number" x "2:number" rectangular matrix containing random values between 0 and 1 with uniform distribution.

n m MyRandom k 1 : k 1 m range R n 1 Random : S k el R sum n / : k k 1 + : 31 line for S S sum m / 21 mat 31 line :

10010 MyRandom 1 el 10010 MyRandom 2 el 21 mat 0.499 0.51 0.523 0.494 0.514 0.501 0.416 0.477 0.553 0.508 101 mat 0.497 21 mat

Random 'Pi' from Uniform

N 10000 :

X 2 N 1 Random (* 1 - : Y 2 N 1 Random (* 1 - : 21 line

Fill the circle exclusive of the square Circle i 1 N range U i el X i el X i el (2^Y i el (2^+ 1 < 0 cases : V i el Y i el X i el (2^Y i el (2^+ 1 < 0 cases : 21 line for U V augment 21 line :

Fill the square exclusive of the circle Square i 1 N range X i el 0 X i el (2^Y i el (2^+ 1 < X i el cases : Y i el 0 X i el (2^Y i el (2^+ 1 < Y i el cases : 21 line for X Y augment 21 line :

Monte Carlo 'Pi'

Square Circle 2 1 sys

i 1 N range U i el X i el X i el (2^Y i el (2^+ 1 < 0 cases : for 11 line

n U i el X i el ≡ (i 1 N sum : 7881

My_π 4 n N / * : 3.1524

collected 5 random V 3.1596 3.1236 3.1488 3.1228 3.1572 51 mat :

Simon Plouffe π  'n' incremental algorithm n π 116 k^/ 48 k * 1 + / 28 k * 4 + / - 18 k * 5 + / - 18 k * 6 + / - (* (k 0 n sum :

V sum 5 / 3.1424

13 π 3.14159265358979

π 3.14159265358979 ≡