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In various application fields, tensor type data are used recently and then a typical rank is important.
The tensor type is Strike-slip extensional or Transtensional.
(b) Hyperboloid isofrequency surface for a uniaxial medium with an extremely anistropic dielectric response (Type I HMM: εzz < 0; εxx; εyy > 0) (c) Hyperboloid isofrequency surface for an extremely anistropic uniaxial medium with two negative components of the dielectric tensor (Type II HMM: εxx; εyy < 0; εzz > 0).
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In one case, we organized our data into a tensor of type protein/gene locus link × gene ontology category × osteogenic stimulant, and found that our cells expressed two distinct, stimulus-dependent sets of functionally related genes as they underwent osteogenic differentiation.
It is known that the outer product of two covariant vectors is a tensor of type (0, 2), but the converse is not true in general [68].
D is a symmetric tensor of type (0, 2) on U S 1 Open image in new window such that t r D=0 and satisfying D X,U =0 for all vector fields X, and D is called the structure tensor of the manifold.
The data are arranged as a tensor of type protein/gene locus link (LL) × category (Gene Ontology-GO) × stimulant, with dimensions (361 × 69 × 5), which we call the Proteomics Tensor (T).
Let G be a subgroup of S 4 such that S G (x0) = { e} for some x0∈ B. Then every tensor of type τ{ X} G, X ∈ B, lies in the image of Ψ T M G for some tree topology T. In particular, L G ⊂ D M G. Proof.
From these methods and the new definition of the dislocation tensor, two types of three-dimensional dislocation structures are found: open periodic networks which have long-range geometric consequences, and closed three-dimensional dislocation structures which self-terminate, having no geometric consequence.
On Tuesday, Manning underwent a C.T. scan and diffusion tensor imaging, a type of brain scan.
We determined the second order susceptibility (χ(2)) tensor ratios of type I and II collagens at each pixel, and displayed the results as images.
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