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    Symmetric Function

    Usage

    Symmetric[{s1, ..., sn}] represents the symmetry of a tensor that is symmetric in the slots si.

    Basic examples

    This array is symmetric: In[1]:=TensorSymmetry[{{{2, 9}, {9, 2}}, {{9, 2}, {2, 4}}}] Out[1]=Symmetric[{1, 2, 3}] Declare a rank-4 array to be symmetric in three slots: In[1]:=$Assumptions=A element Arrays[{4, 4, 4, 4}, Reals, Symmetric[{1, 2, 4}]]; Then any transposition involving those slots is equivalent to the original tensor: In[2]:=TensorTranspose[A, Cycles[{{2, 4}}]]//TensorReduce Out[2]=A

    Attribute

    Protected

    Relationships with other entities

    SymmetricMatrixQ | Antisymmetric | TensorSymmetry | TensorTranspose | Arrays | Matrices | SymmetricGroup

    Relationships with other entities

    Typical ranks of usage in programs

    2087th most common (1 in 583000 symbols)

    918th most common (1 in 17100 symbols)

    History

    introduced in Version 9 (November 2012)

    Timeline

    Timeline

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