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 (covariant) and at least one of the indices will be a superscript (contravariant).
A mixed tensor of type or 'valence, also written "type (M, N)", with both M > 0 and N > 0, is a tensor which has M contravariant indices and N covariant indices. Such tensor can be defined as a linear function which maps an M+N-tuple of M one-forms and N vectors to a scalar.
Read more about Mixed Tensor: Changing The Tensor Type
Famous quotes containing the word mixed:
“Love sits enthroned in Clara’s eyes,
The Graces play her lips around,
And in her cheeks the tendrest dyes
Of lilly mixed with rose are found.
Where charms so irresistless throng
What mortal heart can try resistance?
But ah! her nose is two feet long,
And bids our passions keep their distance.”
—Horace Walpole (1717–1797)