Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
BowenPing`STensor`
Tr  |
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Details and Options
Examples
(1)
Basic Examples
(1)
Calculate the trace of a {1,1} tensor:
In[1]:=
T=
["T",{1,1},{x,y},Array[&,{2,2}]];
[T]
 | CreateTensor |
"t"
##
 | Tr |
Out[1]=
t
1,1
t
2,2
Calculate the trace of a {2, 0} tensor, with metric known:
In[2]:=
g=
"g",{r,θ},DiagonalMatrix[{1,r^2}],
True;T=
["T",{2,0},{r,θ},Array[&,{2,2}],g];
[T],g["ab"]T["ab"]
| CreateTensor |
 | IsMetric |
| CreateTensor |
"t"
##
| Tr |
Out[2]=
+,+
t
1,1
2
r
t
2,2
t
1,1
2
r
t
2,2
Calculate the trace of a {0, 2} tensor, with metric known:
In[3]:=
g=
"g",{r,θ},DiagonalMatrix[{1,r^2}],
True;T=
["T",{0,2},{r,θ},Array[&,{2,2}],g];
[T],
[g]["ab"]T["ab"]
| CreateTensor |
| IsMetric |
| CreateTensor |
"t"
##
| Tr |
| Inverse |
Out[3]=
+,+
t
1,1
t
2,2
2
r
t
1,1
t
2,2
2
r
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