GrassmannCalculus`
HypercomplexProductQ  |
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
The following are examples of hypercomplex products. Hypercomplex products have higher precedence than exterior products so we must use parenthesis.
In[2]:=
★A;(⋀)∘%//
e
1
e
2
e
2
 | HypercomplexProductQ |
Out[2]=
(⋀)∘
e
1
e
2
e
2
Out[2]=
True
In[3]:=
(p⋀q)∘r%//
| HypercomplexProductQ |
Out[3]=
(p⋀q)∘r
Out[3]=
True
In[4]:=
(a+)∘%//
e
1
e
3
α
2
| HypercomplexProductQ |
Out[4]=
(a+)∘
e
1
e
3
α
2
Out[4]=
True
HypercomplexProductQ
Listable
In[5]:=
{x⋀y⋀z,⋁y,(x⋀y)⊖z},x
(z+y),(ax)∘y,x⋄y⋄z//MatrixForm%//
//MatrixForm
x
m
 | △ |
λ
 | HypercomplexProductQ |
Out[5]//MatrixForm=
x⋀y⋀z | x m | x⋀y⊖z |
x △ λ | (ax)∘y | x⋄y⋄z |
Out[5]//MatrixForm=
False | False | False |
False | True | False |
 |
|
""