SamplePublisher`GrassmannCalculus`
ToCanonicalVector  |
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Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
In a vector space the coefficient of the first nonzero Basis vector is factored out.
In[2]:=
 | ★ℬ |
4
| RandomGrassmannVector |
 | ToCanonicalVector |
Out[2]=
5-3+3-7
e
1
e
2
e
3
e
4
Out[2]=
5-+-
e
1
3
e
2
5
3
e
3
5
7
e
4
5
In a point space is similar to .
ToCanonicalVector
ToWeightedPointForm
In[3]:=
| ★ |
4
| ToCanonicalVector |
| ToWeightedPointForm |
| ToPointForm |
Out[3]=
-10★-15+3++10
e
1
e
2
e
3
e
4
Out[3]=
-10★+---
3
e
1
2
3
e
2
10
e
3
10
e
4
Out[3]=
-10★+---
3
e
1
2
3
e
2
10
e
3
10
e
4
Out[3]=
★+---
3
e
1
2
3
e
2
10
e
3
10
e
4
For a free vector in a point space works as in a vector space.
ToCanonicalVector
In[4]:=
| ★ |
4
| FreeBasis |
| ToCanonicalVector |
Out[4]=
-14+2+10+
e
1
e
2
e
3
e
4
Out[4]=
-14---
e
1
e
2
7
5
e
3
7
e
4
14
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