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Appendix C Formula Functions Reference 459
Trigonometric Functions
Trigamma
The derivative of the Digamma function, or the logarithmic second derivative of the Gamma function.
Arrhenius
Calculates the non-specific component of the Arrhenius relationship that is then multiplied by the
activation energy in the Arrhenius equation.
-------------------------
11605
T + 273.15
Arrhenius Inv
The inverse of the Arrhenius function:
⎛11605
-------------- ⎞
⎝ y ⎠
– 273.15
Logit
Applies the logit transformation to the argument using
logit( x)
= log---------- x
1 – x
C Formula Functions Reference
Scheffe Cubic
Is used in fitting certain models. Scheffe Cubic (X1, X2) is equivalent to X1*X2*(X1-X2).
Trigonometric Functions
You can create a formula that supports transcendental functions, such as logarithmic functions for any
base, functions for combinatorial calculations, the Beta function, and several gamma functions. See the
JMP Scripting Guide for details about syntax.
Sine, Cosine, Tangent
The Sine and Cosine functions calculate the sine and cosine of their respective arguments given in
radians. For example, the expression Sine(0) evaluates as 0, and Cosine(0) evaluates as 1. The tangent
function calculates the tangent of an argument given in radians. The expression Tan(.25) evaluates as
0.255342.
ArcSine, ArcCosine, ArcTangent
The ArcSine and ArcCosine functions return the inverse sine and inverse cosine of their respective
arguments. The returned value is measured in radians. For example, both expressions ArcSine(1) and
ArcCosine(0) evaluate as 1.57080. The ArcTangent function returns the inverse tangent of its
argument. The returned value is measured in radians. The expression ArcTangent(0.5) evaluates as
0.46364.