GrassmannCalculus`
ToGCoordinates  |
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
For a 2-dimensional vector basis:
In[2]:=
 | ★ℬ |
2
e
1
e
2
 | ToGCoordinates |
Out[2]=
3+5
e
1
e
2
Out[2]=
{3,5}
For a 4-dimensional vector basis:
In[3]:=
| ★ℬ |
4
e
1
e
2
e
4
| ToGCoordinates |
Out[3]=
3+5-2
e
1
e
2
e
4
Out[3]=
{3,5,0,-2}
For a 2-dimensional point basis:
In[4]:=
| ★ |
2
e
1
e
2
| ToGCoordinates |
Out[4]=
★+3+5
e
1
e
2
Out[4]=
{3,5}
For a weighted point the weight is divided out:
In[5]:=
| ★ |
2
e
1
e
2
| ToGCoordinates |
Out[5]=
3★+3+5
e
1
e
2
Out[5]=
1,
5
3
For a 4-dimensional point basis:
In[6]:=
| ★ |
4
e
1
e
2
e
3
e
4
| ToGCoordinates |
Out[6]=
★+3+5-2+
e
1
e
2
e
3
e
4
Out[6]=
{3,5,-2,1}
For symbolic coordinates:
In[7]:=
| ★ |
4
e
1
e
2
c
e
3
e
4
| ToGCoordinates |
Out[7]=
★+a+Sin[b]-+
e
1
e
2
c
e
3
e
4
Out[7]=
{a,Sin[b],-,1}
c
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""