Clifford Algebra: Dual
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Basis type
basisList : List DualBasis
Basis list
basisCount : Basics.Int
Number of coefficients
basisName : DualBasis -> String
Basis name
Multivector
zero : Dual
Zero value
get : DualBasis -> Dual -> Basics.Float
Get coefficient
set : DualBasis -> Basics.Float -> Dual -> Dual
Update coefficient
new : Basics.Float -> DualBasis -> Dual
Multivector with one coefficient
unitScalar : Dual
Basis multivector
e0 : Dual
Basis multivector
toString : Dual -> String
Convert multivector to string
fromList : List Basics.Float -> Maybe Dual
Convert list of coefficients to multivector
toList : Dual -> List Basics.Float
Convert multivector to list of coefficients
reverse : Dual -> Dual
Reverse the order of the basis blades.
dual : Dual -> Dual
Poincare duality operator.
conjugate : Dual -> Dual
Clifford Conjugation
involute : Dual -> Dual
Main involution
mul : Dual -> Dual -> Dual
The geometric product.
wedge : Dual -> Dual -> Dual
The outer product. (MEET)
vee : Dual -> Dual -> Dual
The regressive product. (JOIN)
dot : Dual -> Dual -> Dual
The inner product.
add : Dual -> Dual -> Dual
Multivector addition
sub : Dual -> Dual -> Dual
Multivector subtraction
smul : Basics.Float -> Dual -> Dual
scalar/multivector multiplication
muls : Dual -> Basics.Float -> Dual
multivector/scalar multiplication
sadd : Basics.Float -> Dual -> Dual
scalar/multivector addition
adds : Dual -> Basics.Float -> Dual
multivector/scalar addition
ssub : Basics.Float -> Dual -> Dual
scalar/multivector subtraction
subs : Dual -> Basics.Float -> Dual
multivector/scalar subtraction
norm : Dual -> Basics.Float
Norm
inorm : Dual -> Basics.Float
Norm of dual
normalized : Dual -> Dual
Normalized multivector