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GeometricAlgebra

Guides

  • Dual numbers
  • Geometric Algebra
  • Matrix Gateway

Tech Notes

  • Conformal Geometry
  • Dual numbers
  • Geometric Numbers
  • Matrix Gateway
  • Operator Duality
  • Projective Geometry
  • Spinors

Symbols

  • ConvertGeometricAlgebra
  • GeometricAlgebra
  • GeometricProduct
  • Grade
  • Multivector
Wolfram`GeometricAlgebra`
GeometricProduct
​
GeometricProduct
[v,w]
returns a geometric product of multivectors
v
and
w
.
​
Examples  
(1)
Basic Examples  
(1)
Multiply two multivectors together:
In[1]:=
v=
Multivector
[{0,a,b}]​​w=
Multivector
[{0,x,y}]
Out[1]=
a
e
1
+b
e
2
Out[1]=
x
e
1
+y
e
2
In[2]:=
GeometricProduct
[v,w]
Out[2]=
ax+by+(-bx+ay)
e
12
In[3]:=
v**w
Out[3]=
ax+by+(-bx+ay)
e
12
Use
gp
to create a template formatting geometric product:
In[4]:=
v⟑w
Out[4]=
ax+by+(-bx+ay)
e
12
SeeAlso
NonCommutativeMultiply
""

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