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mixed tensor

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mixed tensor

[¦mikst ′ten·sər]
(mathematics)
A tensor with both contravariant and covariant indices.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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(2.) [sigma](v) is the vector transformed of v by the linear mapping associated with the mixed tensor form of o; thus, [[[sigma](v)].sup.i] := [[sigma].sup.i.sub.j][v.sup.j] = [[sigma].sup.ij][v.sub.j].
--The material form of the mixed tensor field C(r,t) [member of E x [E.sup.*] is
--The material derivative of the mixed tensor field C(r,t) [member of] E x [E.sup.*] is
Similar result follows for a mixed tensor [A.sup.i.sub.j].
The mixed tensor components in Eq 3c reduces to the mixed Kronecker delta tensor components ([[delta].sub.i.sup.j]) since the covariant and contravariant base vectors are biorthogonal, as Illustrated in Fig.
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