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This paper deals with two dimensional supersonic and hypersonic flow problem by solving the two dimensional Navier-Stokes equation.

董葳本文通过求解Navier-Stokes方程，解决二维超声速及高超声速流动问题。

Further more, we get the necessary and sufficient conditions for the two-dimensional discrete system, where the permanence and extinction of the system are decided and only decided by the relationship of the non-delay coefficients in the system. Further, we for the first time find the equivalent permanence and extinction between the two-dimensional discrete Lotka-Volterra and its corresponding continuous system.

进一步，本得到了此类离散系统二维自治情形下，其持续生存和灭绝分别等价于系统非时滞系数构成的相应不等式；通过比较本文中二维自治Lotka-Volterra竞争系统的连续和离散两种情形的有关结论，首次发现这两类系统具有等价的持续生存和灭绝性质，建立了这两类系统之间的联系。

Thissystems. This paper sets up two-dimensional and three-dimensional models of dissociable transformer by ANSYS. 2-D analysis takes no

本文利用ANSYS 软件，分析了可分离变压器各种可能会影响传输效率的因素，并为实际系统选择模型提供了参考依据。

An original two-dimensional Causes-Results Theory was promoted to be three-dimensional Orbit Intersecting Theory, which can be utilized to illuminate mechanism and measurement of coupling; and Domino Theory from H·W·Heinrich was redefined into "Mechanism of Eliminate and Uncoupling", which extend the connotation and thought of original theory and was discussed by this dissertation.

基于系统工程理论，论述了人-物-环系统中对HMTE风险构成因素的识别，在分析单因素、双因素和三因素耦合致因机理以及现有理论的基础上，提出了三维轨迹交汇理论，并建立了耦合致因模型，探索了HMTE直接耦合机理、间接耦合机理和风险构成的耦合度量，提出了剔除解耦、隔离解耦和支撑解耦三种机理的模型和方法。

X-ray crystal diffraction reveals that complex 1 displays one-dimensional double chain structure; complex 2 is a two-dimensional supramolecule formed by hydrogen bonds.

其中，配合物1呈一维链状结构；配合物2是一个通过氢键作用而形成的二维超分子。

Initial boundary value problem of two dimensional unsteady diffusion equations is solved in this paper. By using time-dependent fundamental solution of two dimensional diffusion equations and the extension of double layer potential, we establish virtual boundary integral expression of diffusion equations. Then virtual boundary element method is used to implement the numerical computation.

本文在求解二维非定常扩散方程的初边值问题时，利用二维扩散方程与时间有关的基本解，基于双层位势的延拓，建立二维扩散方程的虚边界积分表达式，然后利用虚边界元法进行数值计算。

According to the simulation results, the three-dimensional condition for three dimensional trapping of low refractive double layer sphere is analyzed.

通过数值模拟的结果，分析了俘获低折射率双层球的三维条件。

PartⅡ,Applying the developed and extended direct algebraic methods that presented in recent years and based on the 2+1 dimensional variable separation solutions,abundant Jacobi elliptic function doubly periodic waves and periodic propagating wave patterns for many 2+1 dimensional nonlinear wave models are obtained,and in long wave limit solitary waves are derived as well.

第二部分，本文拓展和推广(来源：a2AB7aC论文网www.abclunwen.com)了新近发展的几种典型的直接代数方法和基于分离变量解的间接方法，获得多个2+1维非线性波动模型丰富的雅克比椭圆函数双周期波解和周期传播波模式，并得到长波极限情形下存在的非线性孤立波。

The computer separately connects and controls the I/O end and A/D converter; the I/O end connects and controls the X, Y axis driving circuit and the semiconductor laser; the X, Y axis step-by-step driving circuit connects and controls the X, Y step-by-step electrical machines to control the dimensional platform; the beam of the semiconductor laser passes through the focusing drawtube with 0.1mm diameter to form the facula with the diameter less than 0.1mm; the facula irradiates on the detector surface of the XY dimensional displacement platform to produce the corresponding electric signals; the detector surface connects the A/D converter through the amplifier; the electrical signal is amplified and is converted into the data signal by the A/D converter and is sent to the computer for processing.

由计算机分别连接并控制I/O端口和A/D转换器，I/O端口分别连接并控制X、Y轴步进电机驱动电路和半导体激光器，X、Y轴步进电机驱动电路分别连接并控制X、Y轴步进电机，从而控制二维位移平台，半导体激光器的光束经过设有直径0.1mm小孔的聚焦镜筒形成＜0.1mm直径的光斑，光斑照射于设在XY二维位移平台上的探测器表面使其产生响应的电信号，探测器表面经放大器连接A/D转换器，电信号经放大器放大后，由A/D转换器转换为数据信号送计算机处理。

According to this argument, similar to one-dimensional two-phase flow, the vapor's drift velocity in multi-dimensional two-phase flow is supposed to be a function of the modified acceleration .

上述研究成果得到了国际同行的高度评价，并据此开辟了分析多维、多成分、多相流漂移流率模型研究的新领域，研究成果对发展多相流数学解析模型有重要的理论意义，在工程上有重要的应用前景，研究工作取得了起过预期目标的重要成果。

He is the epitome of a true entertainer.

他是一个典型的真真正正的表演者。

That was Nicholas Rusher reporting.

以上就是Nicholas Rusher的报道。