GrassmannCalculus`
PlaneElementFormQ  |
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
In[2]:=
SetGrassmannNSpace[4,{w,x,y,z},"Vector"]
The following are plane elements.
In[3]:=
 | PlaneElementFormQ |
e
w
e
z
e
w
e
z
e
w
e
x
e
y
e
z
e
w
e
x
e
y
e
z
Out[3]=
{True,True,True,True}
The following are not plane element forms.
In[4]:=
| PlaneElementFormQ |
e
w
e
w
e
z
e
w
e
y
Out[4]=
{False,False,False}
Switch to a non-Point space.
In[5]:=
SetEuclideanNSpace[4,{w,x,y,z},"Vector"]
The following are no longer plane elements.
In[6]:=
| PlaneElementFormQ |
e
w
e
z
e
w
e
z
e
w
e
x
e
y
e
z
e
w
e
x
e
y
e
z
Out[6]=
{False,False,False,False}
You can compose a plane element form by using .
ComposePlaneElement
In[7]:=
★A;
;Π=
[a]
 | ★ |
3
 | ComposePlaneElement |
Out[7]=
(★+++)⋀(++)⋀(++)
a
1
e
1
a
2
e
2
a
3
e
3
a
4
e
1
a
5
e
2
a
6
e
3
a
7
e
1
a
8
e
2
a
9
e
3
In[8]:=
| PlaneElementFormQ |
 | ★ |
 | ★ |
| ★ |
Out[8]=
{True,True,True,False}
In[9]:=
★A;Clear[Π]
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""