SamplePublisher`GrassmannCalculus`
RandomGrassmannVectorElement  |
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
Some examples:
In[2]:=
 | SetBookVectorAssociation |
In[3]:=
| RandomGrassmannVectorElement |
| RandomGrassmannVectorElement |
| RandomGrassmannVectorElement |
Out[3]=
7+6+2-3
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Out[3]=
(13+++20)⋀(-35-2-3-50)
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Out[3]=
(4+7+4+9)⋀(9+2+3)⋀(2-13-2)
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The following generates m-elements in the subspace.
{,}
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In[4]:=
| RandomGrassmannVectorElement |
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| RandomGrassmannVectorElement |
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| RandomGrassmannVectorElement |
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Out[4]=
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Out[4]=
(2+2)⋀
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Out[4]=
(-3+18)⋀(-+9)⋀(-6)
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The following generates a random 2-element in a subspace defined by two random vectors and then checks that a linear combination of the two vectors is in the subspace.
In[5]:=
vector1=
[1]vector2=
[1]
[2,{vector1,vector2}]%//
[%⋀(avector1+bvector2)]
 | RandomGrassmannVectorElement |
 | RandomGrassmannVectorElement |
| RandomGrassmannVectorElement |
| ★ |
| ZeroQ |
Out[5]=
-+2-5+
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Out[5]=
3-8+6+7
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Out[5]=
(6(-+2-5+)+2(3-8+6+7))⋀(3(-+2-5+))
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Out[5]=
-12⋀-54⋀+60⋀+168⋀-132⋀+246⋀
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Out[5]=
True
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""