Spanning trails containing given edges

A graph G is Eulerian-connected if for any u and v in V(G), G has a spanning (u,v)-trail. A graph G is edge-Eulerian-connected if for any e^′ and e^″ in E(G), G has a spanning (e^′,e^″)-trail. For an integer r?0, a graph is called r-Eulerian-connected if for any X⊆E(G) with |X|?r, and for any View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0012365X05005947-si175.gif">, G has a spanning (u,v)-trail T such that X⊆E(T). The r-edge-Eulerian-connectivity of a graph can be defined similarly. Let θ(r) be the minimum value of k such that every k-edge-connected graph is r-Eulerian-connected. Catlin proved that θ(0)=4. We shall show that θ(r)=4 for 0?r?2, and θ(r)=r+1 for r?3. Results on r-edge-Eulerian connectivity are also discussed.     

Continuity and Schatten-von Neumann p-class membership of Hankel operators with anti-holomorphic symbols on (generalized) Fock spaces

In this paper we investigate Hankel operators View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0022247X05006554-si1.gif"> with anti-holomorphic symbols View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0022247X05006554-si2.gif">∈L²(C,m|z|), where View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0022247X05006554-si4.gif"> are general Fock spaces. We will show that View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0022247X05006554-si5.gif"> is not continuous if the corresponding symbol is not a polynomial View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0022247X05006554-si6.gif">. For polynomial symbols we will give necessary and sufficient conditions for continuity and compactness in terms of N and m. For monomials View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0022247X05006554-si7.gif"> we will give a complete characterization of the Schatten-von Neumann p-class membership for p>0. Namely in case 2k<m the Hankel operators View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0022247X05006554-si10.gif"> are in the Schatten-von Neumann p-class iff p>2m/(m−2k); and in case 2k?m they are not in the Schatten-von Neumann p-class.     

Potential energy curve of Be2 in its ground electronic state

The potential energy curve of Be₂ in its View the MathML source" title="View the MathML source" src="http://ars.els-cdn.com/content/image/1-s2.0-S0022285205002894-si1.gif"> ground electronic state is constructed by morphing accurate MR-CI ab initio potentials from the literature to available experimental ro-vibrational data within the framework of the reduced potential curve (RPC) approach of Jen? and Plíva [Adv. At. Mol. Phys. 19 (1983) 265-307]. The resulting potential energy curves are in close harmony with experiment allowing thus for reliable prediction of the so-far experimentally unprobed part of the molecular potential energy function.     

Well-posedness and regularity of generalized Navier-Stokes equations in some critical Q-spaces

We study the well-posedness and regularity of the generalized Navier-Stokes equations with initial data in a new critical space View the MathML source" title="View the MathML source" src="http://ars.sciencedirect.com/content/image/1-s2.0-S0022123610002880-si1.gif">, View the MathML source" title="View the MathML source" src="http://ars.sciencedirect.com/content/image/1-s2.0-S0022123610002880-si2.gif">, which is larger than some known critical homogeneous Besov spaces. Here View the MathML source" title="View the MathML source" src="http://ars.sciencedirect.com/content/image/1-s2.0-S0022123610002880-si3.gif"> is a space defined as the set of all measurable functions with

View the MathML source" title="View the MathML source" src="http://ars.sciencedirect.com/content/image/1-s2.0-S0022123610002880-si4.gif">     

A general form of Jordan-type double inequality for the generalized and normalized Bessel functions

In this note, a general form of Jordan-type double inequality involving the generalized and normalized Bessel functions is presented, and then some recent results concerning generalized and sharp work of Jordan’s inequality are extended. At the same time, the applications of the results above give two new infinite series for sinx/x and sinhx/x.     

New kink-shaped solutions and periodic wave solutions for the (2+1)-dimensional Sine-Gordon equation

New exact solutions including the kink-shaped solutions, bell-shaped solutions, periodic solutions, singular soliton solutions and rational solution for the (2 + 1)-dimensional Sine-Gordon equation are obtained using the tanh method, the View the MathML source" title="View the MathML source" src="http://ars.sciencedirect.com/content/image/1-s2.0-S0096300309010017-si1.gif">-expansion method and the auxiliary function method, respectively.     

Combinatorial constructions of fault-tolerant routings with levelled minimum optical indices

The design of fault-tolerant routings with levelled minimum optical indices plays an important role in the context of optical networks. However, not much is known about the existence of optimal routings with levelled minimum optical indices besides the results established by Dinitz, Ling and Stinson via the partitionable Steiner quadruple systems approach. In this paper, we introduce a new concept of a large set of even levelled View the MathML source" title="View the MathML source" src="http://ars.sciencedirect.com/content/image/1-s2.0-S0166218X09004892-si1.gif">-design of order v and index 2, denoted by View the MathML source" title="View the MathML source" src="http://ars.sciencedirect.com/content/image/1-s2.0-S0166218X09004892-si3.gif">-LELD, which is equivalent to an optimal, levelled (v−2)-fault-tolerant routing with levelled minimum optical indices of the complete network with v nodes. On the basis of the theory of three-wise balanced designs and partitionable candelabra systems, several infinite classes of View the MathML source" title="View the MathML source" src="http://ars.sciencedirect.com/content/image/1-s2.0-S0166218X09004892-si6.gif">-LELDs are constructed. As a consequence, the existence problem for optimal routings with levelled minimum optical indices is solved for nearly a third of the cases.     

基于采集卡和Lab View的锁相放大技术在散射光测量中的应用

建立了基于采集卡和LabView的正交锁相放大测量系统,探测超光滑表面散射光强（nW量级）。分析了该系统对外界杂散光干扰和电气噪声的消除和削弱能力。利用该系统和硬件锁相放大器SR830分别测量光电调制信号,两者抑制噪声和还原信号能力一致,前者可替代后者。     

SystemView与CCS的软件接口在DSP开发中的应用

SystemView 6．0是一款用于通信系统仿真的可视化软件，并且提供了一种与DSP开发软件CCS(Code Composer Studio)的软件接口RTDA(Real Time DSP Architect)。由于SystemView 6．0良好的可视性，掌握好这种接口．并且能够把这种接口应用在DSP开发过程中，对加速DSP的开发进程有重要的作用。本文介绍了SystemViewRTDA和CCS软件接口的实现方法及其在DSP开发过程中的应用．最后以软件接口在GMSK系统开发过程中的应用为例进行了说明。