SamplePublisher`GrassmannCalculus`
JacobianOfMapping  |
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
For a mapping from :
2
3
In[2]:=
 | SetCoordinateVectorSpace |
In[3]:=
mapping1:={x,y}{x,Sin[xy],-};ℳ[mapping1[x,y]]//MatrixForm
2
y
2
x
2
y
Out[3]//MatrixForm=
2 y | 2xy |
yCos[xy] | xCos[xy] |
2x | -2y |
For a mapping that is a function the function is wrapped in a List.
In[4]:=
mapping2:={x,y}Sin[xy]ℳ[mapping2[x,y]]
2
x
Out[4]=
{{yCos[xy]+2xSin[xy],Cos[xy]}}
2
x
3
x
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""