SM500F
Field mountable paperless recorder
Appendix E – Math Equations
166
IM/SM500F Rev. Z
E.1 Math Functions
Function
Description
Trigonometric Functions:
Sin(x)
The sine of x (x specified in radians, Rad =
/180°)
Cos(x)
The cosine of x (x specified in radians, Rad =
/180°)
Tan(x)
The tangent of x (x specified in radians, Rad =
/180°)
Statistical Functions:
Avg(x, n, t)
The average of variable x, over n samples at a sample rate of t seconds. n=1 to 9999
samples, t=1 to 9999 seconds. The average resets after n samples.
Rav(x, n, t)
The rolling average of variable x, over n samples at a sample rate of t seconds. The oldest
sample in each Rav calculation is lost and the new result is calculated by taking into
account the current sample. N=1 to 9999 samples, T=1 to 9999 seconds.
Sd(x, n, t)
Standard Deviation of variable x, over n samples at a sample rate of t seconds. N = 1 to
200 samples; t = 1 to 9999 seconds.
Logarithmic Functions:
Log(x)
Log base 10 of x. For Antilog, see X
a
(x, a)
Ln(x)
Natural log of x
Exp(x)
e to the power x
Special Functions:
RH(x, y)
Relative humidity calculation using wet(x) & dry(y) bulb readings – see Section E.2,
page 167
F
0
(x, y, z)
Optimization of sterilization times using F0 calculation and measured temperature(x), target
temperature(y) and Z factor(z)
Abs(x)
The absolute value of variable x
Switch Functions:
Hs(x, y, z)
Returns the variable with the greatest magnitude
Ms(x, y, z)
Returns the variable whose magnitude is between the upper & lower limits of the three
variables
Ls(x, y, z)
Returns the variable with the smallest magnitude
Mux(x, y, s)
Selects x if s is false, otherwise y
Power Functions:
X
a
(x, a)
Raises the variable x to the power a
Sqr(x)
Returns the square root of variable x
Table E.1 Math Functions