SamplePublisher`GrassmannCalculus`
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
In[2]:=
 | SFAKeysPalette |
Load the factoring data for 4-space.
In[3]:=
 | ★ℬ |
4
 | SFA |
| UnpackIcon |
SFA[ 4 ] Data |
We can extract information by pasting in a list of nested keys. This extracts a symbolic 2-product based on ⋀ pivots.
e
1
e
2
In[4]:=
| IconExtract |
| SFA |
e
1
e
2
Out[4]=
c
0,0
e
1
e
3
c
1,3
e
4
c
1,4
e
2
e
3
c
2,3
e
4
c
2,4
The following factors a 2-vector and generates a supplementary report.
In[5]:=
{factored,report}=
3⋀---6⋀-11⋀-,IncludeReportTrue
| FastExteriorFactorizeSFA |
e
1
e
2
9⋀
e
1
e
3
4
21⋀
e
1
e
4
4
e
2
e
3
e
2
e
4
9⋀
e
3
e
4
4
Out[5]=
3+2+⋀--,
e
1
e
3
11
e
4
3
e
2
3
e
3
4
7
e
4
4
Report |
The following extracts from the report the GroebnerBasis and linear solution that were used in the factoring solution.
In[6]:=
| UnpackIcon |
Out[6]=
{7+4,3+4,-11+3,-2+,-3+},3,2,,-,-
c
2,4
c
2,3
c
1,4
c
1,3
c
0,0
c
0,0
c
1,3
c
1,4
11
3
c
2,3
3
4
c
2,4
7
4
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