SamplePublisher`GrassmannCalculus`
SetCoordinateVectorSpace |
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Details
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
The following sets a 4-dimensional vector space with coordinates using the Form basis.
In[2]:=
 | SetCoordinateVectorSpace |
The corresponding Grassmann Association could be saved from the .
CurrentSpacePreferences
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 | CurrentSpacePreferences |
Out[3]=
GrassmannAssociationTitleCoordinate Vector 4-Space,CoordinatesOriginQFalse,GrassmannCoordinates{w,x,y,z},GrassmannParameters{},CoordinateDomainTrue,ParameterDomainTrue,BasisTypeForm,Basis{dw,dx,dy,dz},VectorBasis{,,,},FormBasis{dw,dx,dy,dz},OrthonormalBasis,,,,MetricsMetric{{1,0,0,0},{0,1,0,0},{0,0,1,0},{0,0,0,1}},InverseMetric{{1,0,0,0},{0,1,0,0},{0,0,1,0},{0,0,0,1}},ScaleFactors{1,1,1,1},VolumeFactor1,VectorToForm{dw,dx,dy,dz},FormToVector{dw,dx,dy,dz},VectorToOrthonormal,,,,OrthonormalToVector,,,,FormToOrthonormaldw,dx,dy,dz,OrthonormalToFormdw,dx,dy,dz,SymbolsScalarSymbols{a,b,c,d,w,x,y,z},UserScalarSymbols{a,b,c,d},VectorSymbolsdw,dx,dy,dz,p,q,r,s,α,β,ψ,ω,,,,,,,,,BasisSymbolsdw,dx,dy,dz,,,,,,,,,UserVectorSymbols{p,q,r,s},UserFormSymbols{α,β,ψ,ω}
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""