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math(3tcl)		       Tcl Math Library			    math(3tcl)

______________________________________________________________________________

NAME
       math - Tcl Math Library

SYNOPSIS
       package require Tcl  8.2

       package require math  ?1.2.5?

       ::math::cov value value ?value ...?

       ::math::integrate list of xy value pairs

       ::math::fibonacci n

       ::math::max value ?value ...?

       ::math::mean value ?value ...?

       ::math::min value ?value ...?

       ::math::product value ?value ...?

       ::math::random ?value1? ?value2?

       ::math::sigma value value ?value ...?

       ::math::stats value value ?value ...?

       ::math::sum value ?value ...?

_________________________________________________________________

DESCRIPTION
       The math package provides utility math functions.

       Besides	a set of basic commands, available via the package math, there
       are more specialised packages:

       ·      math::bigfloat - Arbitrary-precision floating-point arithmetic

       ·      math::bignum - Arbitrary-precision integer arithmetic

       ·      math::calculus::romberg - Robust integration methods  for	 func‐
	      tions of one variable, using Romberg integration

       ·      math::calculus - Integration of functions, solving ordinary dif‐
	      ferential equations

       ·      math::combinatorics - Procedures for various combinatorial func‐
	      tions (for instance the Gamma function and "k out of n")

       ·      math::complexnumbers - Complex number arithmetic

       ·      math::constants  -  A  set of well-known mathematical constants,
	      such as Pi, E, and the golden ratio

       ·      math::fourier - Discrete Fourier transforms

       ·      math::fuzzy - Fuzzy comparisons of floating-point numbers

       ·      math::geometry - 2D geometrical computations

       ·      math::interpolate - Various interpolation methods

       ·      math::linearalgebra - Linear algebra package

       ·      math::optimize - Optimization methods

       ·      math::polynomials - Polynomial arithmetic (includes families  of
	      classical polynomials)

       ·      math::rationalfunctions - Arithmetic of rational functions

       ·      math::roman  -  Manipulation  (including	arithmetic)  of	 Roman
	      numerals

       ·      math::special - Approximations of special functions from	mathe‐
	      matical physics

       ·      math::statistics - Statistical operations and tests

BASIC COMMANDS
       ::math::cov value value ?value ...?
	      Return  the coefficient of variation expressed as percent of two
	      or more numeric values.

       ::math::integrate list of xy value pairs
	      Return the area under a "curve" defined by a set	of  x,y	 pairs
	      and the error bound as a list.

       ::math::fibonacci n
	      Return the n'th Fibonacci number.

       ::math::max value ?value ...?
	      Return the maximum of one or more numeric values.

       ::math::mean value ?value ...?
	      Return the mean, or "average" of one or more numeric values.

       ::math::min value ?value ...?
	      Return the minimum of one or more numeric values.

       ::math::product value ?value ...?
	      Return the product of one or more numeric values.

       ::math::random ?value1? ?value2?
	      Return  a	 random number.	 If no arguments are given, the number
	      is a floating point value between 0 and 1.  If one  argument  is
	      given,  the number is an integer value between 0 and value1.  If
	      two arguments are given, the number is an integer value  between
	      value1 and value2.

       ::math::sigma value value ?value ...?
	      Return  the population standard deviation of two or more numeric
	      values.

       ::math::stats value value ?value ...?
	      Return the mean, standard deviation, and coefficient  of	varia‐
	      tion (as percent) as a list.

       ::math::sum value ?value ...?
	      Return the sum of one or more numeric values.

BUGS, IDEAS, FEEDBACK
       This  document,	and the package it describes, will undoubtedly contain
       bugs and other problems.	 Please report such in the  category  math  of
       the	    Tcllib	   SF	      Trackers	       [http://source‐
       forge.net/tracker/?group_id=12883].  Please also report any  ideas  for
       enhancements you may have for either package and/or documentation.

KEYWORDS
       math, statistics

CATEGORY
       Mathematics

math				     1.2.5			    math(3tcl)
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