导出方程

Based on the analogy of structural mechanics and optimal contro1, and a1so based on carrying the minimum potential energy variational principle in elastici- ty to the generalized one, the theory of Hami1tonian system can be introduced into theory of e1asticity and e11iptic PDE. The transverse eigensolutions of the Hamiltonian operator matrix and its expansion solution method can be deduced.

利用结构力学与最优控制相模拟的理论，将弹性力学势能变分原理导向部分一般变分原理，并将哈密尔顿体系的理论引入到弹性力学与椭圆型偏微分方程之中，导出一套横向哈密尔顿算子矩阵的本征函数向量展开解法。

First of all, the report introduced evolution, achievments and problems in the study of anisotropy in the inner of earth. The first-order hyperbolic system of equations is work out, which is used to describe the wave motion in 2D transversely isotropic media. Utilizing the characteristics of free-divergence, We have imposed MacCormack theme that is used to simulate multicomponent records in anisotropic media and have developed a fast high order vectorized finite-difference algorithm adapted for the vector supercomputer.

本文首先阐述了地球内部介质各向异性研究的沿革、成就和问题，接着给出了描述二维横向各向同性介质中波动的一阶双曲型方程，利用其自由发散特性，构制了各向异性介质中多波多分量地震记录数值模拟的MacCormack算式，导出了适用于并行计算的二维横向各向同性介质中波动的有限差分模拟算子，该算子具有可并行化计算、相位差小等优点。

Numerical computation is to simulate on the atmospheric circulation of the Northern Hemisphere with this model under ideal boundary conditions.

从该模型出发可导出地球流体力学方程，用这一模型对理想边界条件下的北半球大气环流进行了数值计算。

The equation of state for an ideal Bose gas is derived by using the expressions of the pressure and particle number of an ideal Bose gas.

利用理想玻色气体的压强和粒子数密度表达式，导出了理想玻色气体的态方程。

An integral expression for the time domain output response of traveling wave electrooptic phase modulator is derived by using the scalar wave equation and Fourier transform technique.

从标量波动方程出发，采用傅里叶变换的方法，导出了行波电光相位调制器的时间域输出响应的计算公式。

By usingthe relation between the Bergman kernel and the Riemann mapping and Plemly for-mulae,the second boundary integral equation about the Bergman kernel is obtained,moreover,the integral kernel is a continuous,without any singularity,parametized Neu-mann kernel.We discuss the case of some symmetric property,and get correspondingresults.

主要利用Bergman核与Riemann映照之间的关系，推导出Bergman核满足带有参数化Neumann核的第二类边界积分方程，积分核是连续的没有任何奇性，并讨论了具有某种对称性质的情形。

The deformed metal-SWNTs and metal-TCNTs can be transformed to semiconductor or insulator due to deformations resulting to variation of the atomic structure and the nearest-atom transfer integral having relation with the directions.Based on the Boltzmann transport equation and n - electronic energy dispersion relations for individual SWNTs, the theoretical model caculating the current and conductance of the SWNTs is deduced. The low-temperature conductances of undoping or doping SWNTs are studied numerically, the calculated results show that, for the doping SWNTs, the conductance is quantized, i.e.

我们从Boltzmann方程出发，并结合SWNTs的能量色散关系，导出了计算手性SWNTs电导或电流的理论模型，并分别对非掺杂和掺杂SWNTs的低温电导或电流进行数值计算，结果表明：对于非掺杂的SWNTs，其电导是量子化的，即电导随偏压或电子输运能量变化呈跃变的台阶式结构，这些结构随管径增大或温度升高变得不明显；对于掺杂SWNTs，当偏压为某些特定值V_i时，传导电流有跃变，且传导电流的大小、跃变周期及跃变幅度等不是完全由掺杂后的电子浓度决定的，而与管半径R及掺杂后Fermi能级附近的电子态密度有直接关系，随着温度的升高和管径的增大，跃变结构趋于平滑。

The relationship between the inverse number density of particle of the laser transition levels and the discharge condition such as the discharge current, the He pressure and the temperature of Cd-reservior has been achieved. The discharge condition for obtaining maximum laser output was theoretically achieved.

分析了441.6nm谱线的激发机理及各种粒子的相互作用过程，导出了441.6nm谱线跃迁能级激励的理论模型及其粒子数密度速率方程，得到了粒子反转数密度与放电电流、氦气压强和镉炉温度等放电条件的关系，从理论上，定量得出了获得最大输出功率时的放电条件。

Then with the use of general inverse and matrix projection theorem,a new parameter with good identification effect is deduced,which is called projection modulus of residual vector ,and with which the damaged element is easily identi.

为了找到一个对小损伤较敏感的参数，在结构自由振动微分方程基础上，结合损伤结构的测试数据(用有限元模型的计算结果来模拟)，得到残余向量，利用广义逆和矩阵投影定理，导出了一个具有很好识别效果的参数：残余向量投影范数。

The singularity and dexterity of spherical five-bar mechanisms are calculated and analyzed based on Jacobin matrix of mechanisms.

首先建立了球面五杆机构的运动学正、反解模型，并导出了机构的速度方程和雅可比矩阵。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。