Integrable Bogoliubov Transform and Integrable Model

By defining Bogoliubov transform as a function of parameters,the integrability of the Bogoliubov transform in Parameter space is investigated.It is shown that integrable Bogoliubov transform is closely related to the known integrable model.The relation between the integrable Bogoliubov transform and geometric phase of vacuum induced by the Bogoliubov transform is also discussed.     

ZN规范理论修正的MK变换

本文导出了格点规范体系修正后的Migdal-Kadanoff递推关系,并对Z₄体系的相图进行了计算.结果表明得出的固定点和相图比用MK近似计算在数值上更接近于Monte Carlo模拟的结果.这说明修正后的递推关系比用MK关系更有意义.     

SUq(2)代数的广义量子相干态表示

本文给出了SU_q(2)代数的广义量子相干态表示,并指出由此可以得到SU_q(2)的一个新的Boson实现,这样的Boson实现是广义的q-Dyson实现,但这类实现是不厄米的,可以引入一个新的变换使之变为厄米的.这种变换后的实现可以称为q-Holstein-Primakoff实现.我们找出了这样的变换矩阵.文中也指出这种方法推广到高阶群似乎不很容易.     

EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE

This article concerns the existence of global smooth solution for scalar conservation laws with degenerate viscosity in 2-dimensional space. The analysis is based on successive approximation and maximum principle.     

Frame Wavelets with Compact Supports for L^2（R^n）

The construction of frame wavelets with compact supports is a meaningful problem in wavelet analysis. In particular, it is a hard work to construct the frame wavelets with explicit analytic forms. For a given n × n real expansive matrix A, the frame-sets with respect to A are a family of sets in R^n. Based on the frame-sets, a class of high-dimensional frame wavelets with analytic forms are constructed, which can be non-bandlimited, or even compactly supported. As an application, the construction is illustrated by several examples, in which some new frame wavelets with compact supports are constructed. Moreover, since the main result of this paper is about general dilation matrices, in the examples we present a family of frame wavelets associated with some non-integer dilation matrices that is meaningful in computational geometry.     

An approach to the detection of underwater remote target

An approach to the detection of underwater remote target by estimating its backscattering coefficient is presented. The key to this approach is that the echo signal is represented in state-variable model and the back-scattering coefficients of target are contained in dynamic noise of this model, thus underwater target can be detected by estimating this dynamic noise, i.e., deconvolving this model. When all noise statistics are a priori known, an optimum deconvolution algorithm based on the optimum state filter is derived, or else, an adaptive deconvolution algorithm based on the adaptive state filter of alternatively estimating the vector state and the noise statistics is developed. In the final simulation test, an echo signal with SNR equal to -6.1 dB is proceeded using the aforementioned two deconvolution algorithms, respectively, and the results demonstrate good performance of the approach.     

智能型表面测振系统

本文采用加速度传感器测量振动频谱的原理，对表面振动测量系统的实现进行了较为详细的描述，并用所研制的测振系统进行了实际测量，得到较为理想的实验结果．     

商标数据库存储模式及其检索算法研究

依据商标专家的先验知识和基于内容的图像检索技术，提出了一种新的商标库存储结构，并依据该存储结构设计了以三级检索算法为核心的实用商标登记注册管理系统，对于检索算法，一级检索采用人工确认，二级检索采用傅立叶描述子作为边缘特征向量，三级检索采用hu不变矩组作为矩特征向量，从而达到提高商标申请注册中的检索速度和查准率。