We replace the independent one-dimensional Brownian motions in the de…nition of classical Lévy area by the mutually noncommuting "momentum" and "position" Brownian motions of non-Fock quantum stochastic calculus, which are independent in the sense of factorisation of joint characteristic functions. The corresponding quantum Lévy area can then be constructed in a way similar to Lévy’s original c...

Let q be a prime power, let Fq the finite field with elements and ? generator of cyclic group Fq?. For each a?Fq?, log??a unique integer i?{1,…,q?1} such that a=?i. Given polynomials P1,…,Pk?Fq[x] divisors 1<d1,…,dk q?1, we discuss distribution functionsFi:y?log??Pi(y)(moddi), over set Fq??i=1k{y?Fq|Pi(y)=0}. Our main result entails that, under natural multiplicative condition on pairs (di,Pi),...

A quasi-kernel of a digraph D is an independent set Q⊆V(D) such that for every vertex v∈V(D)﹨Q, there exists directed path with one or two arcs from v to u∈Q. In 1974, Chvátal and Lovász proved has quasi-kernel. 1976, Erdős Székely conjectured sink-free D=(V(D),A(D)) size at most |V(D)|/2. this paper, we give new method show the conjecture holds generalization anti-claw-free digraphs. For any o...

We study the spatial autocorrelation of energy eigenfunctions psi(n)(q) corresponding to classically chaotic systems in the semiclassical regime. Our analysis is based on the Weyl-Wigner formalism for the spectral average C(epsilon)(q(+),q(-),E) of psi(n)(q(+))psi(*)(n)(q(-)), defined as the average over eigenstates within an energy window epsilon centered at E. In this framework C(epsilon) is ...

Let q be a prime power and k ≥ 2 be an integer. In [2] and [3] it was determined that the number of components of certain graphs D(k, q) introduced in [1] is at least qt−1 where t = b k+2 4 c. This implied that these components (most often) provide the best-known asymptotic lower bound for the greatest number of edges in graphs of their order and girth. In [4], it was shown that the number of c...

Abstract Vortex beams carrying orbital angular momentum (OAM) open a new perspective in various terahertz research. Multichannel and divergence controllable vortex beam generation holds the key to promoting development of OAM related Here, we introduced experimentally demonstrated quasi-perfect (Q-PVB) with angle independent topological charge multichannel Q-PVBs all-dielectric multifunctional ...

Background: The one-third middle cerebral artery (1/3 MCA) method and Alberta Stroke Program Early Computed Tomography Score (ASPECTS) were used to detect significant early ischemic changes on brain computed tomography (CT) of patients with acute stroke. We designed the Persian Early CT Score (PECTS) and compared it with the above systems. Methods: The tomograms were chosen from the stroke data...

where f, g are test functions, i.e., elements of the oneparticle space with inner product 〈f, g〉, a(f) is a Hilbert space operator with adjoint a†(f) depending linearly on f . The deformation parameter q must be real, and we take it in the interval −1 < q < 1. At the endpoints of this interval the relations become the canonical commutation relations (q = 1), and the canonical anticommutation re...

Currently, there are no robust models for predicting the outcome of acute-on-chronic hepatitis B liver failure (ACHBLF). We aimed to establish and validate a new prognostic scoring system, named ALPH-Q, that integrates electrocardiography parameters that may be used to predict short-term mortality of patients with ACHBLF. Two hundred fourteen patients were included in this study. The APLH-Q sco...

Recent results on heavy flavor production at HERA are presented. New measurements of charm production are available in the region of Q < 1000 GeV for D and in the photoproduction limit, Q → 0, for Ds. The results are compared to theoretical calculations and the charm proton structure function F cc̄ 2 (x,Q ) is extracted. A new independent measurement of the bb̄ cross section using a b-lifetime ta...