The ε-pseudospectral abscissa and radius of an n × n matrix are respectively the maximal real part and the maximal modulus of points in its ε-pseudospectrum, defined using the spectral norm. Existing techniques compute these quantities accurately but the cost is multiple singular value decompositions and eigenvalue decompositions of order n, making them impractical when n is large. We present n...

In this work, we present black hole solutions with a cosmological constant in bumblebee gravity, which provides mechanism for the Lorentz symmetry violation by assuming nonzero vacuum expectation value field. From gravitational point of view, such are spherically symmetric holes an effective and supported anisotropic energy-momentum tensor, conceived as manifestation field spacetime geometry. T...

We study the possibility that supersymmetry is broken via a gaugino condensate in four dimensional string theories. We derive an effective low-energy theory describing the Goldstone mode associated with the Rsymmetry breaking driven by gaugino condensation and show that this gives a description of gaugino condensation equivalent, at tree level, to other effective Lagrangian approaches based on ...

Background: Previous studies demonstrated a health improving effect in patients underwent an automatic vibratory massage taking 10 minutes. One of reasons that may explain a healing effect of the automatic massage is a stimulated increase in both blood circulation through vascular system and effective size of blood vessels. Objective: This paper aims to quantify a contribution of the auto...

In this article, perfectly matched layer (PML) for the boundary treatment and an efficient compact two dimensional finite-difference frequency-domain (2-D FDFD) method were combined to model photonic crystal fibers (PCF). For photonic crystal fibers, if we assume that the propagation constant along the propagation direction is fixed, three-dimensional hybrid guided modes can be calculated by us...

We combine lensing, stellar kinematic and mass-to-light ratio constraints to build a twocomponent (luminous plus dark) mass model of the early-type lens galaxy in PG1115+080. We find a total mass density profile steeper than r, effectively ρ ∝ r ′ with γ = 2.35± 0.1± 0.05 (random + systematic). The stellar mass fraction is f∗ = 0.67 +0.20 −0.25 ± 0.03 inside the Einstein Radius (RE≈1.2 effectiv...

The newly developed “void expansion method” allows for an efficient generation of porous packings of spherical particles over a wide range of volume fractions using the discrete element method. Particles are randomly placed under addition of much smaller “void-particles”. Then, the void-particle radius is increased repeatedly, thereby rearranging the structural particles until formation of a de...