In this paper, a novel signal
processing technique hasbeen developed to refocus moving targets image from their smeared
responses in the Synthetic Aperture Radar (SAR) image according to the
characteristics of the received signals for moving targets. Quadratic Phase Function
is introduced to the parameters estimation for moving target echo and SAR
imaging. Our method is available even under a low SNR environment and acquiring
an exact SAR image of moving targets. The simulated results demonstrated the validity of the
algorithm proposed.

Abstract:
A series of Sn0.35-0.5xCo0.35-0.5xZnxC0.30(x=0, 0.05, 0.10, 0.15, 0.20) composites as novel anode materials used in lithium-ion batteries were synthesized from Sn, Co, Zn element powders and carbon black using solid-state sintering and ball milling, and the influences of Zn content on the structures and the electrochemical properties of those materials were analyzed. XRD data of the sintered powders illustrated that minor amount phase CoSn2 is formed firstly in the CoSn matrix phase with increasing content of Zn. Then, a little amounts of Co3Sn2, Zn and Sn are also precipitated. Most of Zn atoms dissolve into CoSn phase and lead to lattice distortion of the matrix. As a result, the lattice parameters a, c and unit cell volume V of CoSn phase are all reduced first and then enlarged with increasing content of Zn. Electrochemical analysis showed that the initial discharge capacity and initial charge-discharge efficiency are both improved first and then tended to stablility with increasing content of Zn, and as x=0.15, reach the maximums, 343 mA-h/g and 73.8%, respectively. The reversible capacity remains above 87.6% of the initial discharge capacity after 25 charge-discharge cycles. The lattice distortion caused by Zn solution and the formation of multiphase are beneficial for accelerating the diffusion of Li+ and enhancing the stability of structure, so the electrochemical properties are improved significantly. The sintered powder Sn0.275Co0.275Zn0.15C0.30 was milled for different times (t=10, 20 and 30 h), and it is shown that the refinements of grains and particles improved discharge capacity obviously, however, charge-discharge efficiency and cycle performance changed little.

Abstract:
We study twisted modules for (weak) quantum vertex algebras and we give a conceptual construction of (weak) quantum vertex algebras and their twisted modules. As an application we construct and classify irreducible twisted modules for a certain family of quantum vertex algebras.

Abstract:
In this paper, we study a notion of what we call vertex Leibniz algebra. This notion naturally extends that of vertex algebra without vacuum, which was previously introduced by Huang and Lepowsky. We show that every vertex algebra without vacuum can be naturally extended to a vertex algebra. On the other hand, we show that a vertex Leibniz algebra can be embedded into a vertex algebra if and only if it admits a faithful module. To each vertex Leibniz algebra we associate a vertex algebra without vacuum which is universal to the forgetful functor. Furthermore, from any Leibniz algebra $\g$ we construct a vertex Leibniz algebra $V_{\g}$ and show that $V_{\g}$ can be embedded into a vertex algebra if and only if $\g$ is a Lie algebra.

Abstract:
In this paper, we study in the context of quantum vertex algebras a certain Clifford-like algebra introduced by Jing and Nie. We establish bases of PBW type and classify its $\mathbb N$-graded irreducible modules by using a notion of Verma module. On the other hand, we introduce a new algebra, a twin of the original algebra. Using this new algebra we construct a quantum vertex algebra and we associate $\mathbb N$-graded modules for Jing-Nie's Clifford-like algebra with $\phi$-coordinated modules for the quantum vertex algebra. We also show that the adjoint module for the quantum vertex algebra is irreducible.

Abstract:
We develop a theory of toroidal vertex algebras and their modules, and we give a conceptual construction of toroidal vertex algebras and their modules. As an application, we associate toroidal vertex algebras and their modules to toroidal Lie algebras.

Abstract:
In this paper, we continue the study on toroidal vertex algebras initiated in \cite{LTW}, to study concrete toroidal vertex algebras associated to toroidal Lie algebra $L_{r}(\hat{\frak{g}})=\hat{\frak{g}}\otimes L_r$, where $\hat{\frak{g}}$ is an untwisted affine Lie algebra and $L_r=$\mathbb{C}[t_{1}^{\pm 1},\ldots,t_{r}^{\pm 1}]$. We first construct an $(r+1)$-toroidal vertex algebra $V(T,0)$ and show that the category of restricted $L_{r}(\hat{\frak{g}})$-modules is canonically isomorphic to that of $V(T,0)$-modules.Let $c$ denote the standard central element of $\hat{\frak{g}}$ and set $S_c=U(L_r(\mathbb{C}c))$. We furthermore study a distinguished subalgebra of $V(T,0)$, denoted by $V(S_c,0)$. We show that (graded) simple quotient toroidal vertex algebras of $V(S_c,0)$ are parametrized by a $\mathbb{Z}^r$-graded ring homomorphism $\psi:S_c\rightarrow L_r$ such that Im$\psi$ is a $\mathbb{Z}^r$-graded simple $S_c$-module. Denote by $L(\psi,0}$ the simple $(r+1)$-toroidal vertex algebra of $V(S_c,0)$ associated to $\psi$. We determine for which $\psi$, $L(\psi,0)$ is an integrable $L_{r}(\hat{\frak{g}})$-module and we then classify irreducible $L(\psi,0)$-modules for such a $\psi$. For our need, we also obtain various general results.

Abstract:
In this paper, we study a certain deformation $D$ of the Virasoro algebra that was introduced and called $q$-Virasoro algebra by Nigro,in the context of vertex algebras. Among the main results, we prove that for any complex number $\ell$, the category of restricted $D$-modules of level $\ell$ is canonically isomorphic to the category of quasi modules for a certain vertex algebra of affine type. We also prove that the category of restricted $D$-modules of level $\ell$ is canonically isomorphic to the category of $\mathbb{Z}$-equivariant $\phi$-coordinated quasi modules for the same vertex algebra. In the process, we introduce and employ a certain infinite dimensional Lie algebra which is defined in terms of generators and relations and then identified explicitly with a subalgebra of $\mathfrak{gl}_{\infty}$.

Abstract:
This is a paper in a series systematically to study toroidal vertex algebras. Previously, a theory of toroidal vertex algebras and modules was developed and toroidal vertex algebras were explicitly associated to toroidal Lie algebras. In this paper, we study twisted modules for toroidal vertex algebras. More specifically, we introduce a notion of twisted module for a general toroidal vertex algebra with a finite order automorphism and we give a general construction of toroidal vertex algebras and twisted modules. We then use this construction to establish a natural association of toroidal vertex algebras and twisted modules to twisted toroidal Lie algebras. This together with some other known results implies that almost all extended affine Lie algebras can be associated to toroidal vertex algebras.

Abstract:
With the development of mobile technology, especially the development of 3G and mobile IP, the computational capacity of handsets is becoming more and more powerful, which provides a new method to solve the difficulties encountered in real time GIS accessing caused by the characteristics of mobility and remoteness of fieldwork in oilfield. On the basis of studying in-depth on the technologies of J2ME platform, Mobile SVG and mobile data transfer, etc., and in accordance with the actual situation of oilfield, the design framework of oilfield mobile GIS service is put forward and the schemes of key technologies are given in this paper, which establishes the technical foundation for the construction of “Digital Oilfield”.