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m_goldberg
m_goldberg
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I am limiting myself to fields defined in the three dimensional Euclidean Point Spacepoint space. The curl of a tensor can be found in these simple steps:

  1. Take the simple composition of the second-order tensor, T, with the LeviCivitaTensor[3]. This is effected by the command, Dot [T,LeviCivitaTensor[3]]

    Take the simple composition of the second-order tensor, T, with the LeviCivitaTensor[3]. This is effected by the command,

     Dot[T, LeviCivitaTensor[3]]
  2. Take the transpose of the divergence of the above result using the command: curl[T_]:=Transpose[Div[Dot[T, LeviCivitaTensor[3]],{x,y,z}]]

    Take the transpose of the divergence of the above result using the command:

    The result you get here is the second-order tensor that is the curl of the tensor T.
     curl[T_] := Transpose[Div[Dot[T, LeviCivitaTensor[3]], {x, y, z}]]

The result you get here is the second-order tensor that is the curl of the tensor T.

I am limiting myself to fields defined in the three dimensional Euclidean Point Space. The curl of a tensor can be found in these simple steps:

  1. Take the simple composition of the second-order tensor, T, with the LeviCivitaTensor[3]. This is effected by the command, Dot [T,LeviCivitaTensor[3]]
  2. Take the transpose of the divergence of the above result using the command: curl[T_]:=Transpose[Div[Dot[T, LeviCivitaTensor[3]],{x,y,z}]] The result you get here is the second-order tensor that is the curl of the tensor T.

I am limiting myself to fields defined in the three dimensional Euclidean point space. The curl of a tensor can be found in these simple steps:

  1. Take the simple composition of the second-order tensor, T, with the LeviCivitaTensor[3]. This is effected by the command,

     Dot[T, LeviCivitaTensor[3]]

  2. Take the transpose of the divergence of the above result using the command:

     curl[T_] := Transpose[Div[Dot[T, LeviCivitaTensor[3]], {x, y, z}]]

The result you get here is the second-order tensor that is the curl of the tensor T.

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OA Fakinlede
OA Fakinlede
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I am limiting myself to fields defined in the three dimensional Euclidean Point Space. The curl of a tensor can be found in these simple steps:

  1. Take the simple composition of the second-order tensor, T, with the LeviCivitaTensor[3]. This is effected by the command, Dot [T,LeviCivitaTensor[3]]
  2. Take the transpose of the divergence of the above result using the command: Transpose[Div[Dot[Tcurl[T_]:=Transpose[Div[Dot[T, LeviCivitaTensor[3]],{x,y,z}]] The result you get here is the second-order tensor that is the curl of the tensor T.

I am limiting myself to fields defined in the three dimensional Euclidean Point Space. The curl of a tensor can be found in these simple steps:

  1. Take the simple composition of the second-order tensor, T, with the LeviCivitaTensor[3]. This is effected by the command, Dot [T,LeviCivitaTensor[3]]
  2. Take the transpose of the divergence of the above result using the command: Transpose[Div[Dot[T, LeviCivitaTensor[3]],{x,y,z}]] The result you get here is the second-order tensor that is the curl of the tensor T.

I am limiting myself to fields defined in the three dimensional Euclidean Point Space. The curl of a tensor can be found in these simple steps:

  1. Take the simple composition of the second-order tensor, T, with the LeviCivitaTensor[3]. This is effected by the command, Dot [T,LeviCivitaTensor[3]]
  2. Take the transpose of the divergence of the above result using the command: curl[T_]:=Transpose[Div[Dot[T, LeviCivitaTensor[3]],{x,y,z}]] The result you get here is the second-order tensor that is the curl of the tensor T.
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OA Fakinlede
OA Fakinlede
  • 81
  • 5

I am limiting myself to fields defined in the three dimensional Euclidean Point Space. The curl of a tensor can be found in these simple steps:

  1. Take the simple composition of the second-order tensor, T, with the LeviCivitaTensor[3]. This is effected by the command, Dot [T,LeviCivitaTensor[3]]
  2. Take the transpose of the divergence of the above result using the command: Transpose[Div[Dot[T, LeviCivitaTensor[3]],{x,y,z}]] The result you get here is the second-order tensor that is the curl of the tensor T.