outer product


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outer product

[¦au̇d·ər ′präd·əkt]
(mathematics)
For any two tensors R and S, a tensor T each of whose indices corresponds to an index of R or an index of S, and each of whose components is the product of the component of R and the component of S with identical values of the corresponding indices.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Product Information Management is an exhaustive system that permits an association to store all parts of product information; it covers both inward and outer product information.
The hierarchical geometric structure corresponds to the hierarchical Grassmann structure for the outer product in CGA.
Using the outer product, the operation is [mathematical expression not reproducible], which is part of A and corresponding to [<A>.sub.3] in the grade resolution.
For the intersection judgment, the outer product, inner product, and geometric product are employed.
In this paper, we look at the symmetric outer product decomposition (SOPD), a summation of rank-one fully (partially) symmetric tensors.
The outer product of three nonzero vectors is a third-order rank-one tensor; the outer product of k nonzero vectors is a kth-order rank-one tensor.
While doing this we solved some problems of computing geometry (coordinates transformation) of Computer Algebra (outer product representation) and programming (computing process vectorization).
The original approach in all procedures was that the outer product of a shape functions matrices was used on the element stiffness matrix as well as the full anisotropy and polynomial representation of elasticity constants in the material matrix.
To improve sensitivity, a second seminested reaction with 2.5 [micro]L outer product and NP- 1 as 1 primer and NP1 s2 (5'-CTCACCTGCGAGCTCTGTAAGTA) primer was performed at an annealing temperature of 55[degrees]C.
The coextruder is a single-screw machine, which, in accordance with the requirements of each application, plastifies the virgin PET necessary for the outer product layers.
The outer product inside the cans is over-processed due to slow heating of the center, causing poor quality and taste.
Basis vectors for space-times of any dimension and signature can be generated by inner and outer products of a space-like basis vector and a time-like basis vector.