(**) Universitat Konstanz, Fachbereich Physik, Fach M678
78457 Konstanz, Germany
Bertfried.Fauser@uni-konstanz.de
http://kaluza.physik.uni-konstanz.de/~fauser/

This version of CLIFFORD and its supplementary packages is dedicated to Hermann Grassmann (1809-1877), mathematician, physicist and linguist on the 125th anniversary of his death on  26 September 1877 in Stettin, Germany (now Szczecin, Poland). He was co-inventor of vector calculus and author of many papers on n-dimensional geometry, linear algebra, acoustics, and optics.

Hermann Grassmann (1809-1877) from Wikipedia
What is Grassmann Algebra?
A brief biography of Grassmann (pdf)
Another paper on Hermann Grassmann from University of St. Andrews, Scotland
Hermann Grassmann and the Creation of Linear Algebra


Version 12 of CLIFFORD for Clifford algebra computations in Maple 12 is distributed as library_M12.zip that contains the following packages:

The above packages are included in one common library file library_M12.zip shown below. Permission is given to download this file and any supporting help files shown below as long as they are for individual use and not for distribution of any kind including posting these files on any other server but this one. It is expected that appropriate acknowledgment will be given to their authors, Rafal Ablamowicz, Bertfried Fauser, and Jane Liu, as appropriate, when results are derived with a help from any of these packages. All packages and their extensive help pages are copyrighted by Rafal Ablamowicz, Bertfried Fauser, and Jane Liu, as indicated.

===============
DISCLAIMER: THERE IS NO WARRANTY FOR THE CLIFFORD, Bigebra, Cliplus, Define, GfG, GTP, Octonion, RJGrobner, SchurFkt, SymGroupAlgebra, SINGULARPLURALlink, SP, code_support PACKAGES TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANT ABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
===============

You can find out how I use CLIFFORD by going to my recent publications page.


HIGHLIGHTS OF NEW FEATURES IN VERSION 12:



DESCRIPTION OF AVAILABLE FILES:


Files: Name:  Size: Description:
Libraries: library_M12.zip 1.45MB
A .zip file with all library files containing compiled code for Bigebra, CLIFFORD, Cliplus, Define, code_support, GfG, GTP, Octonion, RJgrobner, SchurFkt, SP, SymGroupAlgebra, and  SINGULARPLURALlink together with help pages for most modules. It includes also a sample maple.ini file that needs to be placed in \Lib or \Users subdirectory of Maple 12 directory on Windows machine. For more detailed installation instructions see README.txt
Posted/Last updated: 8/08/2009 Note: A small correction was made in matKrepr procedure and in matdatam_M12.zip files..
Documentation: all_help_pages06i09_M12.pdf 37MB
A single  file with all help pages in pdf format for all functions and procedures in all modules.  It contains 1,213 pages in full color.
Posted/Last updated: 1/06/2009
  BigebraHelpPages20xii08_M12.pdf 4.8MB A single file with all help pages  in pdf format for Bigebra. It contains 160 pages in full color. 
Posted/Last updated: 12/20/2008

BigebraHelpPages20xii08_M12.zip 155KB
A single file with all help pages  in mws format for Bigebra. It contains 38 worksheets. 
Posted/Last updated: 12/20/2008
  CliffordHelpPages20xii08_M12.pdf 12.6MB A single file with all help pages in pdf format for all procedures in CLIFFORD. It contains 448 pages in full color. 
Posted/Last updated: 12/20/08 

CliffordHelpPages20xii08_M12.zip 418 KB
A single file with all help pages in mws format for all procedures in CLIFFORD. It contains 110 worksheets.
Posted/Last updated: 12/20/2008
  CliplusHelpPages20xii08_M12.pdf 1.8MB
A single file with all help pages in pdf format for all procedures in Cliplus. It contains 74 pages in full color. 
Posted/Last updated: 12/20/2008

CliplusHelpPages20xii08_M12.zip 78KB
A single file with all help pages in mws format for all procedures in Cliplus. It contains 14 files.
Posted/Last updated: 12/20/2008

GfGHelpPages20xii08_M12.pdf
164KB
A single file with all help pages in pdf format for all procedures in GfG. It contains 15 pages in full color. 
Posted/Last updated: 12/20/2008

GfGHelpPages20xii08_M12.zip 12KB
A single file with all help pages in mws format for all procedures in GfG. It contains 1 worksheet with examples. 
Posted/Last updated: 12/20/2008
  GTPHelpPages20xii08_M12.pdf 1.2MB
A single file with all help pages in pdf format for all procedures in GTP. It contains 33 pages in full color. 
Posted/Last updated: 12/20/2008

GTPHelpPages20xii08_M12.zip 31KB
A single file with all help pages in mws format for all procedures in GTP. It contains 12 worksheets. 
Posted/Last updated: 12/20/2008
  OctonionHelpPages20xii08_M12.pdf 1.5MB
A single file with all help pages in pdf format for all procedures in Octonion. It contains 33 pages in full color. 
Posted/Last updated: 12/20/2008

OctonionHelpPages20xii08_M12.zip 34KB
A single file with all help pages in mws format for all procedures in Octonion. It contains 15 worksheets.
Posted/Last updated: 12/20/2008

RJgrobnerHelpPages20xii08_M12.pdf
4.6MB
A single file with all help pages in pdf format for all procedures in RJgrobner. It contains 35 pages in full color. 
Posted/Last updated: 12/20/2008

RJgrobnerHelpPages20xii08_M12.zip 22KB
A single file with all help pages in mws format for all procedures in RJgrobner. It contains 1 worksheet with examples.
Posted/Last updated: 12/20/2008

SchurFktHelpPages20xii08_M12.pdf 7.1MB
A single file with all help pages in pdf format for all procedures in SchurFkt. It contains 183 pages in full color. 
Posted/Last updated: 12/20/2008

SchurFktHelpPages20xii08_M12.zip 174KB
A single file with all help pages in mws format for all procedures in SchurFkt. It contains 66 worksheets.
Posted/Last updated: 12/20/2008

SINGULARPLURALlinkHelpPages20xii08_M12.pdf
441KB
A single file with all help pages in pdf format for all procedures in SINGULARPLURALlink. It contains 59 pages in full color. 
Posted/Last updated: 12/20/2008

SINGULARPLURALlinkHelpPages20xii08_M12.zip 33KB
A single file with all help pages in mws format for all procedures in SINGULARPLURALlink. It contains 1 worksheet with examples.
Posted/Last updated: 12/20/2008

SPHelpPages20xii08_M12.pdf
2.2MB
A single file with all help pages in pdf format for all procedures in SP. It contains 90 pages in full color. 
Posted/Last updated: 12/20/2008

SPHelpPages20xii08_M12.zip 80KB
A single file with all help pages in mws format for all procedures in SP. It contains 18 worksheets.
Posted/Last updated: 12/20/2008

SymGroupAlgebraHelpPages06i09_M12.pdf 152KB
A single file with all help pages in pdf format for all procedures in SymGroupAlgebra. It contains 21 pages in full color. 
Posted/Last updated: 1/06/2009

SymGroupAlgebraHelpPages06i09_M12.zip 42KB
A single file with all help pages in mws format for all procedures in SymGroupAlgebra. It contains 1 worksheet.
Posted/Last updated: 1/06/2009
  code_supportHelpPages20xii08_M12.pdf 529KB
A single file with three help pages in pdf format for all procedures in code_support. It contains 62 pages in full color. 
Posted/Last updated: 12/20/2008

code_supportHelpPages20xii08_M12.zip
36KB
A single file with three help pages in mws format for all procedures in code_support. It contains 3 worksheets.
Posted/Last updated: 12/20/2008
  README.txt. 10KB  Installation instructions
Posted/Last updated: 8/08/2009
Code: all_code_mws08viii09_M12.zip 243KB A .zip file with CLIFFORD, Bigebra, Cliplus, Define, GTP, Octonion, code_support, SchurFkt, SINGULARPLURALlink, GfG, RJgrobner, SP, and SymGroupalgebra  Maple 12 worksheets with codes for all modules. 
Posted/Last updated: 8/08/2009 Note: The only new item since the last posting is a small correction in matKrepr procedure and in matdatam_M12.zip files
  Bigebra_1.01_M12.mws 44KB A Maple 12 worksheet with Bigebra code ver. 1.01. 
Posted/Last updated: 12/20/2008
  clifford_12_M12.mws 306KB A Maple 12 worksheet with CLIFFORD code ver. 12. 
Posted/Last updated: 08/08/2009
  Cliplus_02_M12.mws 29KB A Maple 12 worksheet with Cliplus code ver. 02. 
Posted/Last updated: 12/20/2008
  Define_1.00_M12.mws 26KB A Maple 12 worksheet with Define code ver. 1.00. 
Posted/Last updated: 12/20/2008

GfG_20xii08_M12.mws
72KB
A Maple 12 worksheet with GfG code ver. 20 xii 08.
Posted/Last updated: 12/20/2008
  GTP_01_M12.mws 18KB A Maple 12 worksheet with GTP code ver. 01. 
Posted/Last updated: 12/20/2008
  Octonion_03_M12.mws 24KB A Maple 12 worksheet with Octonion code ver. 03. 
Posted/Last updated: 5/27/2009

RJgrobner_07_M12.mws
58KB
A Maple 12 worksheet with RJgrobner code ver. 07. 
Posted/Last updated: 12/20/2008

SchurFkt-code-ver.1.0.2-9vi08_M12.mws
129KB
A Maple 12 worksheet with SchurFkt code ver.1.0.2. 9 vi 2008. 
Posted/Last updated: 12/20/2008

SINGULARPLURALlink_0515_M12.mws 85KB
A Maple 12 worksheet with SINGULARPLURALlink code ver. 0515. 
Posted/Last updated: 12/20//2008

SP_06_M12.mws
45KB
A Maple 12 worksheet with SP code ver. 06. 
Posted/Last updated: 12/20/2008

SPinitialization_01_M12.mws
13KB
A Maple 12 worksheet with SPinitialization code ver. 01 needed for the SP package. 
Posted/Last updated: 12/20/2008

SymGroupAlgebra_03_M12.mws 56KB
A Maple 12 worksheet with SymGroupAlgebra code ver. 03
Posted/Last updated: 1/06/2009
  code_support_1.03_M12.mws 37KB A Maple 12 worksheet with code_support code ver. 1.03. 
Posted/Last updated: 12/20/2008


INSTALLATION INSTRUCTIONS:

A. For Windows:

The following installation instructions should be general enough to allow for loading and installation of the package under any (hopefully) operating system such as XP or Vista. The installation below has been tested under Windows XP Professional. If you have any problems with installation under Windows, please contact Dr. Rafal Ablamowicz at rablamowicz@tntech.edu.

B. For Linux (if you have access to the root directory):

         ==5a==>          Bertfried.Fauser@uni-konstanz.de   or  fauser@spock.physik.uni-konstanz.de.

         ==5b==>

C. For Linux (if you do not have root access):

      If you have any problems with installation under Linux/Unix, please contact Dr. Bertfried Fauser at
Bertfried.Fauser@uni-konstanz.de, or   fauser@spock.physik.uni-konstanz.de.


HOW TO LOAD THE PACKAGE AND CHECK THAT INSTALLATION WAS DONE CORRECTLY:

RECENT PAPERS ON CLIFFORD AND BIGEBRA PACKAGES:

Most recent papers with CLIFFORD, Bigebra, etc.
 


RECENT BOOKS ON CLIFFORD ALGEBRAS:

Please direct all questions, comments, and bug reports to:

Rafal Ablamowicz rablamowicz@tntech.edu
Department of Mathematics, Box 5054
Tennessee Technological University
Cookeville, TN 38505
phone: USA (931) 372-3622
fax: USA (931) 372-6353


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Last updated:  August 8, 2009/ra