Scalar adjectives lacking closed upper boundaries (like far) can be coerced to have a closed upper boundary reading when combined with degree modification with too, e.g. too far to walk. Parallel to the mapping of event structure to scalar structure in adjectives [4], we observe that scalar adjectives are end-marked in ASL. These adjectives receive marking similar to telic verbs, indicating tha...

Let A belong to an automorphism group, Lie algebra or Jordan algebra of a scalar product. When A is factored, to what extent do the factors inherit structure from A? We answer this question for the principal matrix square root, the matrix sign decomposition, and the polar decomposition. For general A, we give a simple derivation and characterization of a particular generalized polar decompositi...

In this work, we are interested in the homogenization of time-harmonic Maxwell’s equations a composite medium with periodically distributed small inclusions negative material. Here material is modelled by permittivity and permeability. Due to sign-changing coefficients equations, it not straightforward obtain uniform energy estimates apply usual techniques. The goal article explain how proceed ...

in this paper, we investigate the existence of infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions. we use some natural constraints and the ljusternik-schnirelman critical point theory on c1-manifolds, to prove our main results.

The polar decomposition A = UpH finds many uses in applications, and it is a fundamental tool for computing the symmetric eigenvalue decomposition and the singular value decomposition via a spectral divide-and-conquer process. Conventional algorithms for these decompositions are suboptimal in view of recent trends in computer architectures, which require minimizing communication together with a...

In this note we comment recent paper by A.V. Minkevich 'Regular inflationary cosmol-ogy and gauge theories of gravitation' on the 'bouncing' character of flat-type inflationary cosmological models within gauge theories of gravity. Recently [1] it was argued that inflationary cosmological solutions in the case of flat models within the framework of gauge theories of gravity have 'bouncing' chara...

We consider the transmission eigenvalue problem corresponding to the scattering problem for anisotropic media for both the scalar Helmholtz equation and Maxwell’s equations in the case when the contrast in the scattering media occurs in two independent functions. We prove the existence of an infinite discrete set of transmission eigenvalues provided that the two contrasts are of opposite signs....