GrassmannCalculus`
PointFormQ |
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
In[2]:=
SetActiveAssociation
"Grassmann Plane"
PublicGrassmannAtlas |
The following are point forms. The second item is a position expression for the space.
In[3]:=
PointFormQ |
e
x
e
y
Out[3]=
{True,True,True}
The following are not point forms.
In[4]:=
PointFormQ |
e
y
e
x
e
x
e
y
Out[4]=
{False,False,False,False,False,False}
Set a non-Point space.
In[5]:=
SetActiveAssociation
"Euclidean Plane"
PublicGrassmannAtlas |
The following are no longer point forms because we are no longer in a Point space.
In[6]:=
PointFormQ |
e
x
e
y
Out[6]=
{False,False,False}
You can compose a point form by using .
ComposePoint
In[7]:=
★A;
;P=
[p]
★ |
3
ComposePoint |
Out[7]=
★+++
e
1
p
1
e
2
p
2
e
3
p
3
In[8]:=
PointFormQ |
★ |
★ |
e
2
Out[8]=
{True,True,True,False,False}
In[9]:=
★A;Clear[P]
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""

