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In tensor analysis, a mixed tensor is a tensor which is neither strictly covariant nor strictly contravariant; at least one of the indices of a mixed tensor will be a subscript and at least one of the indices will be a superscript.
A mixed tensor of type or valence {\textstyle {\binom {M}{N}}} , also written "type ", with both M > 0 and N > 0, is a tensor which has M contravariant indices and N covariant indices. Such a tensor can be defined as a linear function which maps an -tuple of M one-forms and N vectors to a scalar.
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