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
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