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The ``rank'' of a mathematical object is defined whenever that object is Free. In general, the rank of a Free object is the Cardinality of the Free generating Subset $G$. The word ``rank'' also refers to several unrelated concepts in mathematics involving groups, quadratic forms, sequences, statistics, and tensors.

See also Rank (Group), Rank (Quadratic Form), Rank (Sequence), Rank (Statistics), Rank (Tensor)

© 1996-9 Eric W. Weisstein