SamplePublisher`GrassmannCalculus`
ComposeSymbolicMVector3  |
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
In the following multi-vector of grade 2 in 4-space the first GradeBasis term, ⋀, is missing, Therefore the exterior product is pivoted on the ⋀ basis vectors.
e
1
e
2
e
1
e
3
In[2]:=
 | ★ℬ |
4
e
1
e
3
e
1
e
4
e
2
e
3
e
2
e
4
e
3
e
4
 | ComposeSymbolicMVector3 |
e
1
e
3
Out[2]=
-12⋀-10⋀+2⋀+8⋀+11⋀
e
1
e
3
e
1
e
4
e
2
e
3
e
2
e
4
e
3
e
4
Out[2]=
c
0,0
e
1
e
2
c
1,2
e
4
c
1,4
e
3
e
2
c
2,2
e
4
c
2,4
A different symbol can be used and also a different pivot set, as long as it appears in the multi-vector.
In[3]:=
| ★ℬ |
4
| ComposeSymbolicMVector3 |
e
3
e
4
Out[3]=
h
0,0
e
3
e
1
h
1,1
e
2
h
1,2
e
4
e
1
h
2,1
e
2
h
2,2
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