Subset representations and eigenvalues of the universal intertwining matrix

We solve a combinatorial question concerning eigenvalues of the universal intertwining endomorphism of a subset representation.     

3维Maxwell方程局部1维多辛格式的能量恒等式

在理想导体边界条件下,对3维Maxwell方程的局部1维多辛Preissman格式的能量守恒性质进行研究.运用能量分析法推导了2个能量恒等式,这些恒等式说明了给出的格式在所定义的离散范数下是能量守恒和无条件稳定的,数值算例验证了结论的正确性.     

A simple three‐wave approximate Riemann solver for the Saint‐Venant‐Exner equations

Erosion and sediments transport processes have a great impact on industrial structures and on water quality. Despite its limitations, the Saint‐Venant‐Exner system is still (and for sure for some years) widely used in industrial codes to model the bedload sediment transport. In practice, its numerical resolution is mostly handled by a splitting technique that allows a weak coupling between hydraulic and morphodynamic distinct softwares but may suffer from important stability issues. In recent works, many authors proposed alternative methods based on a strong coupling that cure this problem but are not so trivial to implement in an industrial context. In this work, we then pursue 2 objectives. First, we propose a very simple scheme based on an approximate Riemann solver, respecting the strong coupling framework, and we demonstrate its stability and accuracy through a number of numerical test cases. However, second, we reinterpret our scheme as a splitting technique and we extend the purpose to propose what should be the minimal coupling that ensures the stability of the global numerical process in industrial codes, at least, when dealing with collocated finite volume method. The resulting splitting method is, up to our knowledge, the only one for which stability properties are fully demonstrated.     

基于APAS的篮球技术链攻防时空特征研究

运用三维影像解析系统软件对持球顺步突破后跨步急停跳投这一技术链的攻守影像进行解析.研究结果表明,篮球技术链中每一项技术的运用都有其时间和空间适用性,如果运用得当,链内技术可以产生互为运用手段、互相创造时空条件的效果;经测试,高水平篮球运动员脚的简单反应时和动作反应时高度相关,但在持球队员运用该技术链向左侧突破时,技术链前端技术不能为末端的投篮技术创造时空优势.     

运用试验设计法优化某军品压铸弹尾工艺

根据某军品部件出现的问题，应用试验设计法成功地找出了最优组合，提高了该部件的强度，解决了该强度问题，使生产得以正常进行。     

Numerical Evaluation of a Two-Loop Diagram in the Cutoff Regularization

The sunset diagram of λφ4 theory is evaluated numerically in cutoff scheme and a nonzero finite term(in accordance with dimensional regularization (DR) result) is found in contrast to published calculations. This findingdramatically reduces the critical couplings for symmetry breaking in the two-loop effective potential discussed in ourprevious work.     

任职经济责任审计系统设计与实现

该系统严格遵照国家干部经济责任审计的有关准则与规定，能够对企事业单位、行政单位等不同部门各个层次的领导干部，从内控制度、管理、经营、财务等多方面、多角度、全方位地进行跟踪审计，客观公正、实事求是地对有关报表数据进行科学分析，恰如其分地认定干部实绩和经济责任。     

一类非线性Schr(o)dinger方程的守恒差分法与Fourier谱方法

考察了一类带导数项的非线性Schrodinger方程的周期边值问题，提出了一种守恒的差分格式，在空间方向上采用Fourier谱方法，证明了格式的稳定性和收敛性．数值试验得到了与理论分析一致的结果．     

一个门限RSA密码体制

传统的门限RSA密码体制由于都是在环Zψ（n )上进行的，而会遇到固有的困难；Zψ（n ）不是域且ψ（n）必须保密，提出了一个新的门限RSA密码体制，通过数学变换克服了以上的困难，并且对它的安全性进行了简要分析。