TensorExpand

TensorExpand[texpr]

expands out tensor-related products in the symbolic tensor expression texpr.

Details and Options

  • TensorExpand expands sums and products by scalars in tensorial arguments.
  • Expressions involving Dot and Cross are expanded by converting products of pairs of Cross subexpressions into linear combinations of Dot products.
  • Symbolic arguments of Cross are assumed to represent vectors of adequate dimensionality.
  • Symbolic arguments of MatrixPower and Inverse are assumed to represent invertible square matrices.

Examples

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Basic Examples  (2)

Tensor products of linear combinations are not expanded automatically:

In[1]:=
Click for copyable input
Out[1]=

Expand the product:

In[2]:=
Click for copyable input
Out[2]=

Expand a scalar product of two cross products:

In[1]:=
Click for copyable input
Out[1]=

Scope  (3)

Options  (1)

Applications  (6)

Possible Issues  (2)

Neat Examples  (1)

See Also

Dot  Cross  TensorProduct  TensorWedge  TensorReduce

Tutorials

Introduced in 2012
(9.0)