The asymptotic expansions of Toeplitz determinants of certain symbols with multiple jump discontinuities are shown to satisfy a revised version of the conjecture of Fisher and Hartwig. The Toeplitz matrix T n [φ] is said to be generated by the function φ if T n [φ] = (φ i−j), i, j = 0,. .. , n − 1. where φ n = 1 2π 2π 0 φ(θ)e −inθ dθ is the nth Fourier coefficient of φ. Define the determinant T...

abstract many studies have been conducted on the characteristics of hydraulic jump over gradually expanding cross sections, but comparatively few have been carried out on basins with convergent wall. in the present research, the hydraulic jump characteristic of the stilling basin with convergent wall has been investigated. the main objective of this research is evaluation of conjugate depths ra...

A new kinetic model is proposed where the equilibrium distribution with bounded support has a range of velocities about two average in 1D. In 2D, function four velocities, one each quadrant. associated finite volume scheme, are used to enforce Rankine-Hugoniot jump conditions for numerical diffusion at cell-interfaces, thereby capturing steady discontinuities exactly. The variable provide addit...

hydraulic jump on adverse stilling basin is an unstable phenomenon which causes some complexities in controlling of the   jump. this paper considers the stability of free hydraulic jump on adverse stilling basins from a theoretical point of view. a minimum value of upstream froude number is needed to produce the free hydraulic jump on adverse stilling basins which was presented by a theoretical...

[1] We constrain SH wave velocity structures near the 660-km discontinuity beneath South America and northeast Asia, using triplicated phases near the discontinuity recorded in the epicentral distance range of 10 –35 for three deep events. We then explore mineralogical and compositional models appropriate for explaining the inferred seismic structures between the two regions. SH velocity struct...

As an extension to the well-established stationary elliptic partial differential equation (PDE) with random continuous coefficients we study a time-dependent advection-diffusion problem, where may have spatial discontinuities. In subsurface flow model, randomness in parabolic account for insufficient measurements or uncertain material procurement, while discontinuities could represent transitio...

conclusions the he jump mat can be recommended in relation to the validity of constraints. in this study, only a part of the quality criteria were examined. for the final recommendation it is advised to examine the he jump mat on the other quality criteria (test-retest reliability, sensitivity change). background in the field of vertical jump diagnostics, force plates (fp) are the reference sta...

We propose and study a Susceptible-Infected-Confined-Recovered (SICR) epidemic model. For the proposed model, driving forces include (for example) Brownian motion processes jump Lévy noise. Usually, in existing literature involving epidemiology models, noise perturbations are ignored. However, view of presence strong fluctuations SICR dynamics, it is worth including these models. Quite frequent...

A study was performed to evaluate effects of elastic energy stored pre-stretch on the mechanical work output while performing vertical jump. Eight male volunteers of age between 21 29 years old participated in the present study. The present study hypothesized that the vertical jump height during countermovement jumps (CMJ) would be higher than that during squat jump (SJ). During squat jump, a v...