GrassmannCalculus`
ToVectorSpaceComplements  |
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
Set the Grassmann Plane coordinate system.
In[2]:=
SetActiveAssociation
"Grassmann Plane"
 | PublicGrassmannAtlas |
Convert the complements of the Grassmann bases elements to vector space complements.
In[3]:=
step1=Flatten
;step2=step1//
;Thread[step1step2]//Column
 | GrassmannComplement |
| GrassmannBases |
 | ToVectorSpaceComplements |
Out[3]=
1 1 |
★ 1 |
e x e x |
e y e y |
★⋀ e x e x |
★⋀ e y e y |
e x e y e x e y |
★⋀ e x e y e x e y |
Here are the Grassmann complements of several expressions converted to VectorSpaceComplements:
In[4]:=
★+x+x+y+xy★⋀⋀
e
x
e
y
e
x
e
y
 | ToVectorSpaceComplements |
Out[4]=
★+x+x+y+xy★⋀⋀
e
x
e
y
e
x
e
y
Out[4]=
1
e
x
e
y
1
e
x
e
y
In[5]:=
★+xydx⋀dy
| ToVectorSpaceComplements |
Out[5]=
★+xydx⋀dy
Out[5]=
1
dx⋀dy
In[6]:=
Clear[step1,step2]
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""