SamplePublisher`GrassmannCalculus`
CurrentSpacePreferences |
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Details
Examples
(1)
Basic Examples
(1)
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<<GrassmannCalculus`
The standard active Grassmann Association upon initiation is:
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saveAssociation=
CurrentSpacePreferences |
Out[2]=
GrassmannAssociationTitleCoordinate Bound Vector 2-Space,CoordinatesOriginQTrue,GrassmannCoordinates{x,y},GrassmannParameters{},CoordinateDomainTrue,ParameterDomainTrue,BasisTypeVector,Basis{★,,},VectorBasis{★,,},FormBasis{★,dx,dy},OrthonormalBasis★,,,MetricsMetric{{1,0,0},{0,1,0},{0,0,1}},InverseMetric{{1,0,0},{0,1,0},{0,0,1}},ScaleFactors{1,1},VolumeFactor1,VectorToForm{dx,dy},FormToVector{dx,dy},VectorToOrthonormal,,OrthonormalToVector,,FormToOrthonormaldx,dy,OrthonormalToFormdx,dy,SymbolsScalarSymbols{a,b,c,d,x,y},UserScalarSymbols{a,b,c,d},VectorSymbolsdx,dy,p,q,r,s,α,β,ψ,ω,,,,,BasisSymbolsdx,dy,,,,,UserVectorSymbols{p,q,r,s},UserFormSymbols{α,β,ψ,ω}
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One could set a different one, for example from the PublicGrassmannAtlas, by:
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SetActiveSpacePreferences |
PublicGrassmannAtlas |
This is reflected on the Grassmann Calculus Palette and becomes the .
CurrentSpacePreferences
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CurrentSpacePreferences |
Out[4]=
GrassmannAssociationTitleEuclidean Plane,CoordinatesOriginQFalse,GrassmannCoordinates{x,y},GrassmannParameters{},CoordinateDomainTrue,ParameterDomainTrue,BasisTypeVector,Basis{,},VectorBasis{,},FormBasis{dx,dy},OrthonormalBasis,,MetricsMetric{{1,0},{0,1}},InverseMetric{{1,0},{0,1}},ScaleFactors{1,1},VolumeFactor1,VectorToForm{dx,dy},FormToVector{dx,dy},VectorToOrthonormal,,OrthonormalToVector,,FormToOrthonormaldx,dy,OrthonormalToFormdx,dy,SymbolsScalarSymbols{a,b,c,d,x,y},UserScalarSymbols{a,b,c,d},VectorSymbolsdx,dy,p,q,r,s,α,β,ψ,ω,,,,,BasisSymbolsdx,dy,,,,,UserVectorSymbols{p,q,r,s},UserFormSymbols{α,β,ψ,ω}
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The original saved Grassmann Association can be restores with:
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SetActiveSpacePreferences |
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