Calculates the ratio between two independent numbers of events, and its error.
For a and b, that have statistical errors, sqrt(a) and sqrt(b),
ratio = a/b, and
error = a/b sqrt(1/a + 1/b)
Stack | Before | After |
---|---|---|
t | - | destroyed |
z | - | destroyed |
y | a | error on ratio |
x | b | ratio, a/b |
No registers are used.
No flags are used.
v1.00 May 20, 1991
00 { 22-Byte Prgm } ; 01 LBL "RATIO" ; 02 ENTER ; (x,y,z)=(b,b,a) 03 1/X ; 04 RCL ST Z ; (a, 1/b, b, a) 05 1/X ; (1/a, 1/b, b, a) 06 + ; (1/a+1/b, b, a) 07 SQRT ; (sqrt(1/a+1/b), b, a) 08 Rv ; (b, a, *, sqrt) 09 / ; (a/b, *, sqrt) 10 ENTER ; (a/b, a/b, *, sqrt) 11 R^ ; (sqrt, a/b, a/b, *) 12 x ; (sqrt*a/b, a/b, *) 13 X<>Y ; (a/b, error) 14 END
Programmed by Taku Yamanaka, May 20, 1991.