\square Roughly speaking, the non-degeneracy is an open condition. Therefore, the property extends from the limit vector \vec {\omega }_{\infty }(\texttt{E}) to \vec {\omega }_{{\mathfrak {m}}}(\texttt{E}) when {\mathfrak {m}} is sufficiently large....
and the red solid line the 95% global time-averaged significance level. Fitted power-law index (s, see Formula (1)) and the least chi-square value (χ2) are shown in the lower right corner of the panel.d,eThe same as (c) but for the wavelet analysis of theTbvariation in the ent...
Many of the MCMC applications use the Metropolis–Hasting (M–H) method47 to generate the chain, however, this algorithm is very sensitive to a set of “tuning” parameters, the number of which scales with the square of the dimension of the parameters space. Several heuristic methods have ...
This article is devoted to the study of a nonlinear Schrödinger equation with an x-periodic and t-quasi-periodic quintic nonlinear term. It is proved that the equation admits small-amplitude, linearly stable, real analytic, and quasi-periodic solution
The mapped Galerkin method in solving the full-vector and quasi-vector wave equations in terms of transverse magnetic fields (H-formulation) for optical waveguides with step-index profiles is described. By transforming the whole x鈥搚 space onto a unit square and using two-dimensional Fourier ...
The Feje´r average and the mean value of a quantity in a quasiclassical wave packet.The mean value of a quantity in an equally weighted wave packet was recently found in the classical limit to be the Feje´r average of partial sums of Fourier series expansion of the classical ...
First, a laser beam (CW, wavelength 785 nm) was enlarged using a beam expander and reflected by the SLM (LCOS-SLM, X10468-02, Hamamatsu Photonics) to control the wavefront of the beam. The phase hologram used for the wavefront control was calculated by the iterative Fourier transform ...
The phason also contributes, although much more weakly, in the vicinity of the zone cen- ter, with a pole whose weight vanishes as the wave vector ap- proaches zero. For the nematic, there is no divergent gapless contribution, and the gapless mode appears only at the zone center. The ...
Villasenor, Transiting exoplanet survey satellite (TESS), in Space Telescopes and Instrumentation 2014: Optical, Infrared, and Millimeter Wave, ed. by J. Oschmann, M. Jacobus, M. Clampin, G.G. Fazio, H.A. MacEwen. Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series,...
12 shows that the ripples in dynamic pressure (proportional to the product of number density and the square of the velocity) are driven more by density than by velocity: for pressure and density the amplitudes and variations are remarkably similar, whereas for pressure and velocity they are not...