导出方程

In Chapter 3, the generalized skew-symmetric solutions of the matrix equation A~TXA = B on the linear manifold S ={X e GKSR~|||XY - Z}}= min, Y, Z∈ R~}, using the canonical correlation decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the generalized skew-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

利用矩阵对的标准相关分解，给出了这类线性流形上矩阵方程A~TXA=B存在广义次对称解的充要条件及其通解表达式，并且导出了极小Frobenius范数广义次对称解的表达(来源：d7d7A7dBC论文网www.abclunwen.com)式。

Finally, non-Newtonian property of the blood was considered. The constitutive equations based on the Casson model was adopted,and the corre.

本文第三部分工作采用基于Casson模型的流体本构方程研究了血液的非牛顿特性对动脉狭窄流场的影响，导出了非牛顿流体对应的有限元矩距。

A The basic solution of the elastic line inclusion plane problem is deduced, then it is used to establish the Cauchy -type singular integral equations of one or two inclusions, and numerical method is set up, so the above problem is solved.

导出了弹性线夹杂平面问题的基本解，然后用此建立了线夹杂及其相互作用的柯西型奇异积分方程，并为其建立了数值法，从而使线夹杂平面问题获得解决。

We thus are derived the equations of the radius of the arbitravity celestial body .

我们因此导出了任意天体的半径方程。

Based on Bezier curve continuance of first－order and second－order derivative, the characteristic vector equation of two Bezier curve is presented in point of intersection. The algorithm is not only of high accuracy with all of the interpolated points being on the curve theoretically, but also of very high speed in the real－time interpolation processes. The interpolation velocity does not change and the segment tolerance of interpolation can be control by selecting the parameter in cerement rationally every time.

为保证两段Bezier曲线在连接点处一阶导数、二阶导数连续，导出了两段Bezier曲线特征向量应满足的关系方程，Bezier插补法不仅在理论上可使所有的插补点落在曲线上，而且实时插曲补速度高，每次插补时可合理地选择参数增量，能使插补速度保证不变，也可控制弓高误差。

In this paper we derive the. curve equation of tooth profile on the basis of its meshing principle and discuss the necessity and possibility of replacing the equidistant curve which in the circular section of lang arc external pendulum curve by circular arc.

本文从其啮合原理出发，导出齿廊曲线方程，论述了以圆弧替代长幅外摆线环形部分等距曲线的必要性和可能性，提出圆弧齿形替代要求，运用最优化方法，给出最优设计方案。

For the generalized boundary value problem a complete set of boundary integral equations and relevant numerical scheme are established.

利用 Hankel 变换导出了弹性地基上薄板弯曲问题的基本解，此基本解对三种常用地基模型具有统一的表达形式，针对近年提出的广义边值问题，建立了统一的边界积分方程和边界元求解格式。

The terms neglected in the derivation of this completely integrable equationshould be considered as perturbations.To study the methods of amplifying or controllingoptical solitons,a perturbation theory is also necessary.

在导出这个完全可积方程的过程中忽略了的项要作为微扰加以考虑，研究对光孤子的放大和控制等手段，也需要使用微扰理论。

In order to improve the performance of aerostatic bearing and enhance the reliability of system, the chief works of this paper represents as follows: First, on the foundation of development and present research situation of internal and external aerostatic bearings, this paper summarizes the principle of aerostatic bearing, according to several assumptions of work conditions, two-dimensional Reynolds equation of isotherm compressible fluid is deduced.

为改善气体轴承的性能，提高气浮轴承转子系统的安全性、可靠性，本文进行了如下研究工作：首先，本文在综述了国内、外气体静压轴承的发展历史和研究现状的基础上对气体静压轴承基本原理进行了概述，根据小孔节流静压气浮轴承的工作状况，作了若干假设，在此基础上导出了描述气膜压力场的二维可压缩Reynolds方程。

The design mainly works on many factors which effecting the volume efficiency of fracturing pump. These factors are working conditions of the pump,imbibitional valve,expulsive valve,clearance volume,sealing property, condensability of influent, liquid leakage and elastic defletion of pump cylinder. Based on these facors, we should induce the efficiency expression, famulate differential eguation and emulational mathematical model of fracturing pump.

本设计主要针对影响压裂泵容积效率的因素如：泵的工作情况、吸液阀结构参数、余隙容积、密封性能、液体的可压缩性、液体泄漏、泵缸的弹性形变等方面进行分析，在此基础上导出效率的表达式，建立微分方程，并建立压裂泵效率仿真的数学模型。

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。