Download Math::Group::Thompson 0.96

Antivirus information.

We did not scan Math::Group::Thompson 0.96 for viruses, adware, spyware or other type of malware. For your own protection it's recommended to have an updated antivirus installed on your computer when downloading and installing programs from freeware123.

freeware123 lists downloads from various software publishers, so if you have a question regarding a particular software contact the publisher directly. The download links for Math::Group::Thompson 0.96 are provided to you by freeware123 without any warranties, representations or gurantees of any kind, so download at your own risk.

Description

Math::Group::Thompson module contains OO methods that calculates the cardinality of the ball of radius 'n' of Thompson group F. Math::Group::Thompson Perl module contains OO methods that calculates the cardinality of the ball of radius 'n' of Thompson group F.SYNOPSISuse Math::Group::Thompson;my $F = Math::Group::Thompson->new( VERBOSE => 0 );my $card = $F->cardBn(3,'');print "#B(3) = $cardn";The Math::Group::Thompson module provides objetct oriented methods that calculates the cardinality of the ball of radius 'n' of Thompson group F.This module uses the presentation of FF = < A,B | [AB^(-1),A^(-1)BA] = [AB^(-1),A^(-2)BA^2] = e >where A,B are formal symbols, [x,y] is the usual commutator and e is the identity element of F.[x,y] = xyx^(-1)y^(-1)This means that for every g in F, g can be written as wordg = a_{1}a_{2} ... a_{n}where all the a_{i} are A,B,A^(-1) or B^(-1) for all i$v );Verbose argument tells Math::Group::Thompson whether print every word generated ($v == 1) or not ($v == 0), or store them in a file, where $v is the name of the file (obviously different to 0 or 1). If the verbose file exists it is replaced, so you have to check for its integrity.NOTE:It's not recommend to store the words on a file because forvery small values of n, #B(n) or #gB(n)-B(n) are very very large.For example for n = 19, #B(n) ~ 3^n = 1162261467 ~ 1.1 Giga, butthe space ocupped by the file will be (in bytes):#B(1) + sum(i=2 to 19){i*(#B(i) - #B(i-1))} = cardBnThis method calculates #B(n) or #(gB(n) - B(n)) depending on if the argument passed to the first call of cardBn is '' or not.Usage: my $c = $F->cardBn($radius,$g);where$radius is an integer number >= 0 and $g is an element of F (word written with A,B,C or D).If the first time cardBn is called $g is not equal to '', then cardBn returns the cardinality of the setgB(n) - B(n) = { w in F | w in gB(n) and w not in B(n) }If the firs time cardBn is callen $g is equal to '', then cardBn returns #B(n).This algorithm runs on exponential time because F is of exponential growth (more "exactly", this algorithm is O(3^n) ).resetResets the counter used on cardBn method, set the FIRST_ELEMENT property at '', and the FIRST_CALL proporty to 1.Usage: $F->reset;multiplyMultiplication between two words of F. This method considers the inverse relations stored in the attribute INV.Usage: my $mul = $F->multiply($g,$w);where $g and $w are elements of F, and $mul is the result of $g$w.rotateThis module receives as argument a word in F and puts the last letter on word in its first place.Usage: $w = 'ABC'; $W = $self->rotate($w); # $W is now equal to 'CBA'inverseThis method receives a word in F and returns its inverse.Usage: $w = 'ABC'; $W = $self->inverse($w); # $W == 'ADC'divideThis method receives a word in F and returns a 2-dimensional array where the first element is the first half of the word, and the second is the inverse of the second half of the word.Usage: $w = 'AABC'; ($w1,$w2) = $self->divide($w); # Now $w1 == 'AA' and $w2 == 'AD'get_invThis method return the hash of inverse relations between the generators elements of F.noteThis method prints in STDERR the string received or puts it on the correspondent file.Usage: $F->note('AA'); # Print AA."n" or store it on a file.Requirements:· Perl

Related programsOur Recommendations

Bosco 1.2

Bosco is a bug tracking. Bosco is a rewrite of the popular defect tracking software in Bugzilla

Download

jPDFSecure 1.20

jPDFSecure is a Java-based PDF secure library. jPDFSecure is a Java-based PDF library.jPDFSecure

Download

bzr-automirror 0.1.0

bzr-automirror Bazaar is a plugin to automatically "mirror" the current state of a project for

Download

Yahoo::Marketing::AdGroupService 4.30

Yahoo:: Marketing:: AdGroupService is a Perl object that provides access to Yahoo Marketing SOAP

Download

Badger 0.05

Badger is an application programming using Perl toolkit.SYNOPSIS Badger; # 1) have more fun # 2) do

Download

jPDFImages 2.01

jPDFImages is a Java-based PDF image library. jPDFImages is a Java-based PDF library.jPDFImages

Download

TurboGears 1.1

TurboGears is a complete front-to-back Web development mega-framework in Python. TurboGears project

Download

HTML_QuickForm_LiveText 0.2.3

HTML_QuickForm_LiveText project is custom HTML_QuickForm element implemented as an input text that

Download

MercurialRecipe 0.1.3

MercurialRecipe is a Python module for cloning and / or drawing a Mercurial repository.

Download

libUTL++ 1.0.15

An object oriented C + + application development libUTL + + library is an object-oriented C + +

Download

Thumbnail of Math::Group::Thompson 0.96

Publisher/Developer: Roberto Alamos Moreno

Release Date: May 26, 2012

View Program Details

Top Downloadslast week