Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Wolfram`GeometricAlgebra`
GeometricAlgebra  |
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Details and Options
Examples
(1)
Basic Examples
(1)
Represent a Geometric Algebra with signature:
(3,1)
In[1]:=
 | GeometricAlgebra |
Out[1]=
3,1
Represent a Geometric Algebra with signature:
(1,2,3)
In[2]:=
| GeometricAlgebra |
Out[2]=
1,2,3
Specify custom formatting for the algebra:
In[3]:=
| GeometricAlgebra |
Out[3]=
Specify formatting for specific basis vectors as a list of rules:
In[4]:=
| Multivector |
 | GeometricAlgebra |
Out[4]=
3x+4y+5
e
3
Specify formatting for specific basis vectors as a function:
In[5]:=
| Multivector |
| GeometricAlgebra |
Out[5]=
1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16ℐ
e
1
e
2
e
3
e
-1
e
12
e
13
e
1-1
e
23
e
2-1
e
3-1
e
123
e
12-1
e
13-1
e
23-1
Provide arbitrary potentially incomplete ordering of indices for displaying basis elements:
In[6]:=
| Multivector |
| GeometricAlgebra |
Out[6]=
4+3+(-8)+7
e
3
e
2
e
321
e
23
Custom basis matrix for vectors modifies multiplication table of the geometric product:
In[7]:=
 | GeometricAlgebra |
Out[7]=
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