SamplePublisher`GrassmannCalculus`
PublicGrassmannAtlas |
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
The following are the coordinate systems included in the .
PublicGrassmannAtlas
In[2]:=
Keys
 | PublicGrassmannAtlas |
Out[2]=
{Grassmann Line,Grassmann Plane,Grassmann 3-Space,Euclidean Line,Euclidean Plane,Euclidean 3-Space,Grassmann Polar,Polar,Elliptic Plane,Grassmann Elliptic Plane,Cylindrical,Grassmann Cylindrical,Spherical,Grassmann Spherical,Minkowski Space,Minkowski Grassmann Space}
A particular Grassmann Association in the atlas, say "Grassmann 3-Space", can be displayed as follows:
In[3]:=
| PublicGrassmannAtlas |
Out[3]=
GrassmannAssociationTitleGrassmann 3-Space,CoordinatesOriginQTrue,GrassmannCoordinates{x,y,z},GrassmannParameters{},CoordinateDomainTrue,ParameterDomainTrue,BasisTypeVector,Basis{★,,,},VectorBasis{★,,,},FormBasis{★,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},VolumeFactor1,VectorToForm{dx,dy,dz},FormToVector{dx,dy,dz},VectorToOrthonormal,,,OrthonormalToVector,,,FormToOrthonormaldx,dy,dz,OrthonormalToFormdx,dy,dz,SymbolsScalarSymbols{a,b,c,d,x,y,z},UserScalarSymbols{a,b,c,d},VectorSymbolsdx,dy,dz,p,q,r,s,α,β,ψ,ω,,,,,,,BasisSymbolsdx,dy,dz,,,,,,,UserVectorSymbols{p,q,r,s},UserFormSymbols{α,β,ψ,ω}
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