In planar turbulence modeled as an isotropic and homogeneous collection of two-dimensional noninteracting compact vortices, the structure functions S(p)(r) of a statistically stationary passive scalar field have the following scaling behavior in the limit where the Péclet number Pe-->infinity: S(p)(r) approximately const+ln(r/L Pe(-1/3)) for L Pe(-1/3)<<r<<L, S(p)(r) approximately (r/L Pe(-1/3)...

The Pearcey kernel is a classical and universal arising from random matrix theory, which describes the local statistics of eigenvalues when limiting mean eigenvalue density exhibits cusp-like singularity. It appears in variety statistical physics models beyond as well. We consider Fredholm determinant trace class operator acting on $L^2\left(-s, s\right)$ with kernel. Based steepest descent ana...

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Building self-maintaining overlay networks for locating information in a manner that exhibits locality-awareness is crucial for the viability of large internets. It means that costs are proportional to the actual distance of interacting parties, and in many cases, that load may be contained locally. This survey paper describes several locality-aware networks that support distributed content-bas...

I . First, I would like to say why I do care E.~mmmr formalisms. The point is not only t h a % I was %ra.ined a s a student of linguist-i c s and %hat I always ha.re been interested in theor~l Lcal ling'uJ, stics, but in the present context a.]SO ) and main].~ ~ that natu:e&:[ ].angu a g e processing systems mostly a~'e too complex to be bui].t, modified, comp].emented, enriched.,., o , without...

The visible symmetric L-groups are a refinement of the symmetric L-groups of Mishchenko [12] and Ranicki [15]. They are much easier to compute, although they hardly differ from the symmetric L-groups in their formal properties. Cappell and Shaneson [3] use the visible symmetric L-groups in studying 4-dimensional s-cobordisms; see also Kwasik and Schultz [8]. The visible symmetric L-groups are r...

Keywords--Pala is-Smale condition, Critical point theory, Hamiltonian systems, Perturbation from symmetry, Multiple periodic solutions. 1. I N T R O D U C T I O N In this paper, in the spirit of [1], we want to investigate the effect of perturbing the S l symmet ry of a general class of Hamiltonian systems. Studied around 1980 by Bahri and Berestycki in [2], the problem of finding multiple peri...

Failure is one key problem of MEMS S&A (safety and arming) device for its practical application. To make research of failure of MEMS S&A device in action process, a method based on FTA was employed to make analysis on arming process of the set-back arming mechanism of typical MEMS S&A device. Result obtained with theory computation was verified to be right by simulation analysis and which could...

In this paper we introduce the operators of validation and invalidation of a proposition, and we extend the operator of S-denying a proposition, or an axiomatic system, from the geometric space to respectively any theory in any domain of knowledge, and show six examples in geometry, in mathematical analysis, and in topology.