A permutation π of a multiset is said to be quasi-Stirling if there do not exist four indices i<j<k<ℓ such that πi=πk, πj=πℓ and πi≠πj. For M, denote by Q‾M the set permutations M. The polynomial on M defined Q‾M(t)=∑π∈Q‾Mtdes(π), where des(π) denotes number descents π. By employing generating function arguments, Elizalde derived an elegant identity involving polynomials {12,22,…,n2}, in analog...

In the paper we begin a description of functional methods of quantum field theory for systems of interacting q-particles. These particles obey exotic statistics and are the q-generalization of the colored particles which appear in many problems of condensed matter physics, magnetism and quantum optics. Motivated by the general ideas of standard field theory we prove the q-functional analogues o...

In the paper we begin a description of functional methods of quantum field theory for systems of interacting q-particles. These particles obey exotic statistics and are the q-generalization of the colored particles which appear in many problems of condensed matter physics, magnetism and quantum optics. Motivated by the general ideas of standard field theory we prove the q-functional analogues o...

We investigate streaming MPEG-4 video over relative Differentiated Services (DS) networks that can provide Q aggregated classes ordered in a way such that class q is better or at least no worse than class (q-1) for 1 q Q < ≤ , in terms of packet loss. We propose an algorithm to measure the loss impact of a video packet on the quality of the decoded video images. We show how the optimal Quality ...

The monotone circuit problem Q MC is shown to be complete for xed point logic IFP under quantiier free reductions. Enhancing the circuits with an oracle Q leads to a problem complete for IFP(Q). By contrast, if L is any extension of FO with generalized quantiiers, one can always nd a Q such that IFP(Q) is not contained in L(Q). For L = FO(Q MC), we have L IFP but L(Q) < IFP(Q). The adjunction o...

We study the behavior of solutions for parametric equation $$-\Delta_{p}^{a_1} u(z)-\Delta_{q}^{a_2} u(z)=\lambda |u(z)|^{q-2} u(z)+f(z,u(z)) \quad \mbox{in } \Omega,\, \lambda >0,$$ under Dirichlet condition, where $\Omega \subseteq \mathbb{R}^N$ is a bounded domain with $C^2$-boundary $\partial \Omega$, $a_1,a_2 \in L^\infty(\Omega)$ $a_1(z),a_2(z)>0$ a.a. $z $p,q (1,\infty)$ and $\Delta_{p}^...

Temperature in thermodynamics is synonymous with disorder, and responsible for ultimately destroying ordered phases. Here, we show an unusual magnetic transition where, increasing the temperature of elemental neodymium, long-range multi-Q order emerges from a self-induced spin glass. Using temperature-dependent spin-polarized scanning tunneling microscopy, characterize local Q spin-Q glass phas...

Abstract We consider a Robin problem driven by the ( p , q )-Laplacian plus an indefinite potential term. The reaction is either resonant with respect to principal eigenvalue or $$(p-1)$$ (p-1) -superlinear but without sati...

The D-dimensional Coulomb system serves as a starting point for generating generalized atomic shells. These shells are ordered according to a generalized Madelung rule in D dimensions. This rule together with an Aufbau Prinzip is applied to produce a D-dimensional periodic table. A model is developed to rationalize the ordering of the shells predicted by the generalized Madelung rule. This mode...

let $s$ be an ordered semigroup. a fuzzy subset of $s$ is anarbitrary mapping   from $s$ into $[0,1]$, where $[0,1]$ is theusual interval of real numbers. in this paper,  the concept of fuzzygeneralized bi-ideals of an ordered semigroup $s$ is introduced.regular ordered semigroups are characterized by means of fuzzy leftideals, fuzzy right ideals and fuzzy (generalized) bi-ideals.finally, two m...