Unfortunately, the matrix sign function ǫ(H) is difficult to evaluate and is typically approximated by a sum over poles [1] which can be evaluated using a multi-shift conjugate gradient (CG) solver [2]. This is an iterative approximation where the number of iterations for a given accuracy depends upon the condition number of the kernel, κ(H) = |λmax/λmin|. Usually the Hermitian Wilson-Dirac ope...

We consider the effects on the primordial power spectrum of a period of radiation-dominated expansion prior to the inflationary era. If inflation lasts a total of only 60 e-folds or so, the boundary condition for quantum modes cannot be taken in the short-wavelength limit as in the standard perturbation calculation. Instead, the boundary condition is set by the vacuum state of the prior radiati...

The present investigation relied upon a neurophysiological explanation of visual masking and compared the backward masking susceptibility of hypothetical schizotypal individuals to that of controls. In order to assess the relative contributions of the visual system's transient and sustained channels to the backward masking deficit characteristic of the schizophrenia spectrum, performance within...

Non alcoholic fatty liver disease occurs in those who don't consume alcohol in amounts considered harmful to the liver. It represents a spectrum of conditions characterized histologically by mainly macrovesicular hepatic steatosis. There are two histological patterns of NAFLD: fatty liver alone and steatohepatitis. In this brief review, clinical and histologic spectrum, natural history, diagnos...

The phase-noise spectrum determines the Allan variance by a well-known integral formula. It is shown here that unique inversion of this formula is not possible in general because the mapping from spectrum to Allan variance is not one-to-one. A necessary and sufficient condition for two distinct phase spectra to have the same Allan variance is given.

Autism spectrum disorder is a group of neurodegenerative disorders that caused by physiological the brain which represents change in its shape and structure characterized difficulties with social interaction & communication restricted repetitive behavior. (ASD) presents behavioral characteristics can occur early developmental stages individuals. symptoms appear majority children between age...