Basic Examples (3)
Basic Examples
(3)
Christoffel symbol of the second kind for Euclidean cylindrical coordinates:
In[1]:=
1 | 0 | 0 |
0 | 2 r | 0 |
0 | 0 | 1 |
Out[1]//MatrixForm=
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In[2]:=
%//TensorRank
Out[2]=
3
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Christoffel symbol of the first kind for cylindrical coordinates:
In[1]:=
1 | 0 | 0 |
0 | 2 r | 0 |
0 | 0 | 1 |
Out[3]//MatrixForm=
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———
Christoffel symbols of a sphere:
In[1]:=
Out[4]//MatrixForm=
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In[2]:=
Out[5]//MatrixForm=
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Applications (5)
Applications
(5)