Convergence of solutions for a class of neutral difference equations

AbstractConsider the neutral difference equation ∇(xn−cxn−k)=f(n, xn, xn−k),where k is a positive integer, 0 < c < 1, ∇ denotes the backward difference operator ∇yn = yn − yn−1, f : N × R2 → R is continuous and decreasing with respect to the second argument. We give the results that solutions of the equation convergent to constants

A Gauge field Induced by the Global Gauge Invariance of Action Integral

As a general rule, it is considered that the global gauge invariance of an action integral does not cause the occurrence of gauge field. However, in this paper we demonstrate that when the so-called localized assumption is excluded, the gauge field will be induced by the global gauge invariance of the action integral. An example is given to support this conclusion.Comment: 13 pages. Some typing errors are corrected and the format is update

Spectral high resolution feature selection for retrieval of combustion temperature profiles

Proceeding of: 7th International Conference on Intelligent Data Engineering and Automated Learning, IDEAL 2006 (Burgos, Spain, September 20-23, 2006)The use of high spectral resolution measurements to obtain a retrieval of certain physical properties related with the radiative transfer of energy leads a priori to a better accuracy. But this improvement in accuracy is not easy to achieve due to the great amount of data which makes difficult any treatment over it and it's redundancies. To solve this problem, a pick selection based on principal component analysis has been adopted in order to make the mandatory feature selection over the different channels. In this paper, the capability to retrieve the temperature profile in a combustion environment using neural networks jointly with this spectral high resolution feature selection method is studied.Publicad

On the Derivation of Vector Radiative Transfer Equation for Polarized Radiative Transport in Graded Index Media

Light transport in graded index media follows a curved trajectory determined by the Fermat's principle. Besides the effect of variation of the refractive index on the transport of radiative intensity, the curved ray trajectory will induce geometrical effects on the transport of polarization ellipse. This paper presents a complete derivation of vector radiative transfer equation for polarized radiation transport in absorption, emission and scattering graded index media. The derivation is based on the analysis of the conserved quantities for polarized light transport along curved trajectory and a novel approach. The obtained transfer equation can be considered as a generalization of the classic vector radiative transfer equation that is only valid for uniform refractive index media. Several variant forms of the transport equation are also presented, which include the form for Stokes parameters defined with a fixed reference and the Eulerian forms in the ray coordinate and in several common orthogonal coordinate systems.Comment: This paper has been submitted to JQSR

Performance analysis on transfer platforms in frame bridge based automated container terminals

10.1155/2013/593847Mathematical Problems in Engineering2013

Emerging threat of thrips-borne Melon yellow spot virus on melon and watermelon in Taiwan

The thrips-borne Melon yellow spot virus (MYSV) has recently been found infecting cucurbits in Taiwan. However, this virus was indistinguishable from another thrips-borne virus species Watermelon silver mottle virus (WSMoV), which has been devastating on cucurbits in Taiwan for decades, when the antisera against their nucleocapsid proteins (NPs) were used for diagnosis. To understand the incidences of WSMoV and MYSV in melon and watermelon fields, a survey was conducted in central and southern Taiwan from July 2007 to December 2009. The samples collected from symptomatic plants were tested by indirect enzyme-linked immunosorbent assay (ELISA) using monoclonal antibodies (MAbs) specific to the NP of WSMoV or MYSV and the reliability of the results was verified by reverse transcription-polymerase chain reaction (RT-PCR) using species-specific primers. Among a total of 10,480 melon samples collected, 6% and 18.2% of them were found singly infected with WSMoV and MYSV, respectively, and 0.16% infected with both viruses. On the other hand, among 1,811 watermelon samples assayed, 22.4% and 9.2% samples were singly infected with WSMoV and MYSV, respectively, and 0.17% were infected with both viruses. In addition, the aphid-borne viruses Zucchini yellow mosaic virus (ZYMV), Papaya ringspot virus watermelon type (PRSV-W) and Cucumber mosaic virus (CMV) were also detected as prevalent viruses. Our results indicated that mixed infection with the two thrips-borne viruses is rare. Moreover, host preference for both viruses is different; WSMoV prevails on watermelon whereas MYSV is more widespread on melon. We conclude that MYSV has become a serious threat for watermelon and melon production in Taiwan and the possible control measures are discussed

Bcc 4^4He as a Coherent Quantum Solid

In this work we investigate implications of the quantum nature of bcc $^{4}$% He. We show that it is a unique solid phase with both a lattice structure and an Off-Diagonal Long Range Order of coherently oscillating local electric dipole moments. These dipoles arise from the local motion of the atoms in the crystal potential well, and oscillate in synchrony to reduce the dipolar interaction energy. The dipolar ground-state is therefore found to be a coherent state with a well defined global phase and a three-component complex order parameter. The condensation energy of the dipoles in the bcc phase stabilizes it over the hcp phase at finite temperatures. We further show that there can be fermionic excitations of this ground-state and predict that they form an optical-like branch in the (110) direction. A comparison with 'super-solid' models is also discussed.Comment: 12 pages, 8 figure

The controlled teleportation of an arbitrary two-atom entangled state in driven cavity QED

In this paper, we propose a scheme for the controlled teleportation of an arbitrary two-atom entangled state $|\phi>_{12}=a|gg>_{12}+b|ge>_{12}+c|eg>_{12}+d|ee>_{12}$ in driven cavity QED. An arbitrary two-atom entangled state can be teleported perfectly with the help of the cooperation of the third side by constructing a three-atom GHZ entangled state as the controlled channel. This scheme does not involve apparent (or direct) Bell-state measurement and is insensitive to the cavity decay and the thermal field. The probability of the success in our scheme is 1.0.Comment: 10 page

Membrane-Protein Interactions in a Generic Coarse-Grained Model for Lipid Bilayers

We study membrane-protein interactions and membrane-mediated protein-protein interactions by Monte Carlo simulations of a generic coarse-grained model for lipid bilayers with cylindrical hydrophobic inclusions. The strength of the hydrophobic force and the hydrophobic thickness of the proteins are systematically varied. The results are compared with analytical predictions of two popular analytical theories: The Landau-de Gennes theory and the elastic theory. The elastic theory provides an excellent description of the fluctuation spectra of pure membranes and successfully reproduces the deformation profiles of membranes around single proteins. However, its prediction for the potential of mean force between proteins is not compatible with the simulation data for large distances. The simulations show that the lipid-mediated interactions are governed by five competing factors: Direct interactions, lipid-induced depletion interactions, lipid bridging, lipid packing, and a smooth long-range contribution. The mechanisms leading to "hydrophobic mismatch" interactions are critically analyzed.Comment: 16 pages, 8 figures, accepted for publication in Biophysical Journa