.TRANSFORM.Math

Contents

Name	Description
Examples
ComplexMath
Easing
Interpolation
GNU_ScientificLibrary	GNU Scientific Library (GSL)
cubicRoots_Real	Analytical solution for the real roots of a cubic equation (a*x^3+b*x^2+c*x+d=0)
cubicRoots_SingleReal	Returns a single real root within the user defined range for a cubic equation (a*x^3+b*x^2+c*x+d=0)
spliceSigmoid	Smoothing algorithm using the sigmoid function
sigmoid
spliceTanh	Spline interpolation of two functions using the hyperbolic tangent
spliceTanh_der	Derivative of spliceTanh
spliceCosN	Smoothing algorithm using the cos^N function
smoothing_cosN	Smoothing using a*cos(x)^n base function
smoothMax_exponential
smoothMax_exponential_der
smoothMax_cubic
smoothMax_quadratic
smoothMax_splice	Once continuously differentiable approximation to the maximum function using splice
smoothMin_exponential
smoothMin_cubic
smoothMin_quadratic
smoothMin_splice	Once continuously differentiable approximation to the minimum function using a splice function
logspace	Create log spaced vector
logspace_dx	Create log spaced vector and only return the spacing between points
besselJ
gamma_Lanczos	Gamma function using the Lanczos approximation
factorial	Calculates the factorial of integer n
regRoot_cinterp	Square root function with cubic interpolation near 0
regRoot_cinterp_der
regExponent_cinterp	Root function of exponent (x^z) with cubic interpolation near 0
regExponent_cinterp_der
quadraticCoefficients	Returns the coefficients of a quadritic equation a*x + b*x^2 + c*x^3 from three number pairs (x,y)
quadraticCurve	Quadratic curve, including linear extrapolation beyond defined curve limits
variableFactor	Calcutes a matrix f from 0 to 1 that relates a ratio of variable to fixed values
meanFactor	Calcutes a matrix fA and f that returns the calculates a mean value based on a ratio of variable to fixed values using variableFactor
interpolate_wLimit	Interpolate in a vector
interpolate2D	Interpolate a 2D data table
linspace_1D	Create a linearly spaced 1D array and the special case when n = 1 the average is returned
linspaceRepeat_1D	Create [m] linearly spaced 1D arrays stored in a [n,m] matrix and the special case when n = 1 the average is returned
linspaceRepeat_1D_multi	Create a 3D matrix of linearly spaced 1D arrays stored in a [n,m] matrix and the special case when n = 1 the average is returned
linspace_2Dcorner	Create a linearly spaced 2D matrix from the linear interpolation of 4 corner values
linspace_2Dedge	Create a linearly spaced 2D matrix from the linear interpolation of 4 edge values
linspaceRepeat_2Dedge	Create [m] linearly spaced 2D matrix stored in a [n1,n2,m] matrix from the linear interpolation of 4 edge values
fillArray_1D	create a matrix from an array of values (i.e., fill(val[:],n)) for 1 dimension
fillArray_2D	create a matrix from an array of values (i.e., fill(val[:],n1,n2)) for 2 dimensions
fillArray_3D	create a matrix from an array of values (i.e., fill(val[:],n1,n2,n3)) for 3 dimensions
arrheniusEquation	Arrhenius equation y = A*exp(-(Ea/RT)^b)
cumulativeSum
mean
cspline
cubicHermiteSpline
cubicHermiteSplineLinearExtrapolation	Interpolate using a cubic Hermite spline with linear extrapolation
splineDerivatives	Function to compute the derivatives for cubic hermite spline interpolation
isMonotonic	Returns true if the argument is a monotonic sequence
regStep	Approximation of a general step, such that the approximation is continuous and differentiable
replaceArrayValues	Replace array values with user specified values at specified index
indexFilter	Return array of indices from source contained or not contained in target
integral_TrapezoidalRule	Integral of array y(x) using the trapezoidal rule
radialspace	Equal volume radial spacing
max_len_seq
max_len_seq_ternary
xor
max_len_seq_sine
max_len_seq__sine_time	Return time sequence interval and initial mls value as the last index
diff
regFun3	Co-monotonic and C1 smooth regularization function
clamp
findPlace	Find the index next to which the target value fits in the array (requires monotonic array of positive values)
PerformanceCurve
psi	Psi or digamma function: d(gamma)/dx/gamma
hypergeometric2F1
pochhammer
exists	Return true or false for if element is found in the vector