.IDEAS.Utilities.Math.Functions

Information

This package contains functions for commonly used mathematical operations. The functions are used in the blocks IDEAS.Utilities.Math.

Contents

Name	Description
average	Average of a vector
besselJ0	Bessel function of the first kind of order 0, J0
besselJ1	Bessel function of the first kind of order 1, J1
besselY0	Bessel function of the second kind of order 0, Y0
besselY1	Bessel function of the second kind of order 1, Y1
bicubic	Bicubic function
binomial	Returns the binomial coefficient
biquadratic	Biquadratic function
booleanReplicator	Replicates Boolean signals
cubicHermiteLinearExtrapolation	Interpolate using a cubic Hermite spline with linear extrapolation
exponentialIntegralE1	Exponential integral, E1
factorial	Returns the value n! as an integer
fallingFactorial	Returns the k-th falling factorial of n
integerReplicator	Replicates integer signals
inverseXRegularized	Function that approximates 1/x by a twice continuously differentiable function
isAngle	Return true if angles are mathematically equivalent up to a certain precision
isMonotonic	Returns true if the argument is a monotonic sequence
polynomial	Polynomial function
powerLinearized	Power function that is linearized below a user-defined threshold
quadraticLinear	Function that is quadratic in first argument and linear in second argument
quinticHermite	Quintic Hermite spline function for interpolation between two functions with a continuous second derivative
regNonZeroPower	Power function, regularized near zero, but nonzero value for x=0
regStep	Approximation of a general step, such that the approximation is continuous and differentiable
searchIndex1D	Find the index value i in a vector x for the desired abscissa a so that x[i] < a < x[i+1]
smoothExponential	Once continuously differentiable approximation to exp(-|x|) in interval |x| < delta
smoothHeaviside	Twice continuously differentiable approximation to the Heaviside function
smoothLimit	Once continuously differentiable approximation to the limit function
smoothMax	Once continuously differentiable approximation to the maximum function
smoothMin	Once continuously differentiable approximation to the minimum function
spliceFunction
splineDerivatives	Function to compute the derivatives for cubic hermite spline interpolation
trapezoidalIntegration	Integration using the trapezoidal rule
Examples	Collection of models that illustrate model use and test models
BaseClasses	Package with base classes for IDEAS.Utilities.Math.Functions