Formula table

This section provides an overview of possible functions that can be used in the settings area of TC3 Motion Designer.

Function and mathematical expression	Explanation
Negative sign [neg]	Numerical value or inverse function with negative sign (-)
Sine [sin]	Trigonometric sine function
Cosine [cos]	Trigonometric cosine function
Tangent [tan]	Trigonometric tangent function
Arc sine [asin]	Inverse function of the trigonometric sine function (arc function)
Arc cosine [acos]	Inverse function of the trigonometric cosine function (arc function)
Arc tangent [atan]	Inverse function of the trigonometric tangent function (arc function)
Hyperbolic sine [sinh]	Mathematical hyperbolic function (sine)
Hyperbolic cosine [cosh]	Mathematical hyperbolic function (cosine)
Hyperbolic tangent [tanh]	Mathematical hyperbolic function (tangent)
Area hyperbolic sine [asinh]	Inverse function of the hyperbolic sine function (area function)
Area hyperbolic cosine [acosh]	Inverse function of the hyperbolic cosine function (area function)
Area hyperbolic tangent [atanh]	Inverse function of the hyperbolic tangent function (area function)
Exponential function [exp / e²]	Function in the form ϰ ↦ α“ based on real numbers a > 0 and a ≠ 1
Logarithm [log]	The logarithm of a number describes the exponent with which a specified number (base) must be raised in order to obtain the required number.
Integral cosine [ceil]	Function with a function rule containing an integral and the cosine function.
Absolute value [abs]	Absolute numerical value
Sigmoid function [sign]	This function describes a scaled and shifted hyperbolic tangent function (area function) containing e (Euler number).
Modulo [mod]	Modulo calculates the remainder (b) of a division (n) divided by m. This enables a function in which each pair of numbers (n; m) contains an unambiguous remainder b.
Minimum value [min]	Minimum possible and permissible value
Maximum value [max]	Maximum possible and permitted value
Sum [sum]	Result of an addition