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mathematics - Module

Postscript file available

Computations on arrays

include "mathematics.g"



Description

The mathematics module contains functions that perform a variety of mathematical operations. These functions can be grouped into the following catagories.

statistics
median, moments and the like
FFT
Fast Fourier Transforms and related functions
polynomials
Evaluation and fitting of polynomials
interpolation
One-dimensional interpolation using various functions
sinusoids
Fitting sinusoids to data
gaussians
Evaluate 1 and 2-D Gaussians, fit 1-D Gaussians
random numbers
Generate random numbers from a variety of distributions
matrix
Matrix and linear algebra operations
least squares
Least-squares inversion of simultaneous equations

This module does not duplicate functions that are built-in to Glish itself e.g.,, sin(). See the Glish Users Manual for a description of these functions.

Tools
datafilter Filtering operations on data arrays
fftserver FFTs and related operations
gauss1dfitter Non-linear least-squares fit multiple 1-D Gaussians to vector
interpolate1d Various sorts of 1-dimensional interpolation
lsfit Least-squares fit by matrix inversion
matrix A collection of matrix/vector routines
polyfitter Least-squares fit polynomials to data
randomnumbers Random numbers from various statistical distributions
sinusoidfitter Non-linear least-squares fit sinusoid to data

Functions
fftserverdemo Demonstrate the use of functions in fftserver
fftservertest Test the fftserver class
gaussian1d Calculate a one-dimensional Gaussian
gaussian2d Calculate two-dimensional Gaussian
interpolate1ddemo Demonstrate the use of functions in interpolate1d
interpolate1dtest Test the interpolate1d class
kurtosis Calculate the kurtosis of a set of numbers
max_with_location Determine location of the maximum of a set of numbers
mean Calculate the mean of a set of numbers
median Calculate the median of a set of numbers
min_with_location Determine location of the minimum of a set of numbers
moments Calculate one or more moments for a set of numbers
polyfitterdemo Demonstrate the use of functions in polyfitter
polyfittertest Test the polyfitter class
randomnumbersdemo Demonstrate the randomnumbers tool
randomnumberstest Test the randomnumbers class
range_with_location Determine locations of min and max for a set of numbers
sinusoidfitterdemo Demonstrate the use of functions in sinusoidfitter
sinusoidfittertest Test the sinusoidfitter class
skew Calculate the skew of a set of numbers
stddev Calculate the standard deviation of a set of numbers
variance Calculate the variance of a set of numbers




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2006-10-15