clifford_outer.dem

/* Copyright (C) 2016 Dimiter Prodanov
 * 
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License as
 * published by the Free Software Foundation; either version 2 of
 * the License, or (at your option) any later version.
 *
 * This program is distributed in the hope that it will be
 * useful, but WITHOUT ANY WARRANTY; without even the implied
 * warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
 * PURPOSE.  See the GNU General Public License for more details.
 *
 * clifford demo
 */
 
if get('clifford,'version)=false then load("clifford")$

"Clifford implements Clifford algebra for Maxima."$

"This demonstration computes product tables for n up to 3."$

"  init Cl(1,0,0)- double numbers"$
  clifford(e,1);
  EE:cons(1, %elements );
  mtable2();
  " outer products  "$
  mtable1o(%elements);
  " left contraction  "$
  mtable1i(%elements), inprotype='lc;
  
  "  init Cl(0,1,0)- comlex numbers"$
  clifford(e,0,1);
  EE:cons(1, %elements );
  mtable2();
  " outer products  "$
  mtable1o(%elements);
  " left contraction  "$
  mtable1i(%elements), inprotype='lc;
  
  "  init Cl(0,0,1)- dual numbers"$
  clifford(e,0,0,1);
  EE:cons(1, %elements );
  mtable2();
  " outer products  "$
  mtable1o(%elements);
  " left contraction  "$
  mtable1i(%elements), inprotype='lc;
  
"  init Cl(2,0,0)- Euclidean plane"$
  clifford(e,2);
  EE:cons(1, %elements );
  mtable2();
  " outer products  "$
  mtable1o(%elements);
  " left contraction  "$
  mtable1i(%elements), inprotype='lc;

"  init Cl(1,1,0)"$
  clifford(e,1,1);
  EE:cons(1, %elements );
  mtable2();
  " outer products  "$
  mtable1o(%elements);
  " left contraction  "$
  mtable1i(%elements), inprotype='lc;  
  
  "  init Cl(0,2)- quaternions "$
  clifford(e,0,2);
  EE:cons(1, %elements );
  mtable2();
  " outer products  "$
  mtable1o(%elements);
  " left contraction  "$
  mtable1i(%elements), inprotype='lc;  

"  init Cl(3,0,0)- G(3)"$
  clifford(e,3);
  EE:cons(1, %elements );
  mtable2();
  " outer products  "$
  mtable1o(%elements);
  " left contraction  "$
  mtable1i(%elements), inprotype='lc;
  
  " init Cl(1,1,1)"$
  clifford(e,1,1,1); 
  mtable2();
  " outer product "$
  mtable1o(%elements);
  " left contraction  "$
  mtable1i(%elements), inprotype='lc;
  
   " init Cl(0,2,1)"$
  clifford(e,0,2,1); 
  mtable2();
  " outer product"$
  mtable1o(%elements);
  " left contraction  "$
  mtable1i(%elements), inprotype='lc;
  
  /* End of demo -- comment line needed by MAXIMA to resume demo menu */