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BasicCliffordAlgebra

Symbols

  • Coeff
  • Dual
  • GeometricProduct
  • GFactor
  • Grade
  • HomogeneousQ
  • InnerProduct
  • Involution
  • Joint
  • LeftContaction
  • Magnitude
  • Meet
  • MultivectorInverse
  • OuterProduct
  • Pseudoscalar
  • Reflection
  • RightContraction
  • Rotation
  • ScalarProduct
  • ToBasis
  • ToVector
  • Turn
Jlaragonvera`BasicCliffordAlgebra`
Joint
​
Joint
[
m1
,
m2
,
n
] returns the Join of the multivectors
m1
and
m2
in a
n
-dimensional space.
​
Details and Options

Examples  
(3)
Basic Examples  
(2)
Calculate the join of two vectors:
In[1]:=
Joint
[e[1,2],e[2,3]+e[1],2]
Out[1]=
2
e[1,2]
​
Calculate the join of a vector and a bivector:
In[1]:=
Joint
[e[1],e[1,2],2]
Out[1]=
e[1,2]
Scope  
(1)

SeeAlso
Meet
TechNotes
▪
Joint[] was implemented in terms of the Meet : J = A⋂B = A ∧ ( ((A ⋂ B)^{-1}) . B )
▪
See Dorst et al . (Geometric Algebra for Computer Science. An Object-Oriented Approach to Geometry, Morgan Kaufman, 2007) Eq . (5.5). Since Join is defined in terms of the Meet and Meet was normalized, then a scale for Join is defined.
""

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