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Finally, demonstrate the validity of least square identification method with restricted memory by comparing the mathematic model of this non-symmetrical hydraulic servo-system with actual system's output.

并将限定记忆最小二乘辨识方法所得的辨识模型同实际系统的输出进行了对比和验证，证实了限定记忆最小二乘辨识方法的有效性。

Considering the three different moving processes, complete mathematic model of controlled system that includes velocity loop of alternating current servomotor, is established.

针对三个不同的运动阶段，建立了包含交流伺服电机速度环的被控系统的完整的数学模型。

New progresses of mathematic models, section profiles and engineering application for lapel shaper were introduced.

介绍了国内外在翻领成型器的数学模型、截面形式和应用研究等方面的进展。

Finally, simulate dynamic mathematic model by MATLAB software, and get a series of dynamic curve of Vacuum's sidetrack from feed-in to static state.

最后使用MATLAB对建立的动态数学模型进行仿真，得到一系列侧线油组分浓度变化的过渡过程曲线，从而了解了减压精馏塔的动态特性。

Later In the secondary school I started to participate math classes at the university and got a lot of prizes in Latvia and even International Mathematic Olympiads '91 and ' 92 (not the first places of course, sill above average).

以后到了中学，我开始参加大学里的数学班，还获得了拉脱维亚国内数学竞赛的很多奖项，甚至还有'91 和' 92国际数学奥匹克的奖（当然都不是第一名，只是中等偏上）。

The tasks of establish mathematical models of power system bases on similarity principle to construct mathematic description of the models.

本文主要研究的数学模型包括，发电机系统、原动机系统、系统网络与故障、静态和动态负荷、潮流计算。

This method is built at the basis of similative of the mathematic relation between the torsion problem of pole and elasticity membrane which is under the action of equal side pressure and exaggerates tight around.

为了解决较复杂截面杆件的扭转问题，特提出薄膜比拟法。该方法是建立在柱体扭转问题与受均匀侧压力而四周张紧的弹性薄膜之间数学关系相似的基础上。

This arithmetic of similitude adopts mathematic model, which can work out the extra sequence of similitude.

可适用于定量属性、定性属性和混合属性的实例的相似度计算。

The description of network delays including characteristics and effects are also covered and the uniformed mathematic models for NCSs with four different structures are derived. Furthermore, the controller basing on state prediction and compensating time delay is designed. Sufficient and necessary stability conditions for systems with different transmission policies such as perfect transmissions, delayed transmissions and time-varying transmissions are obtained as simple eigenvalue tests of certain test matrices. And in the end, effects of model error over maximum communication interval are analyzed. Numerical examples show the feasibility and efficiency of the proposed methods.

首先介绍了网络控制系统中数据包的传输情况以及基于模型结构方法的基本思想，并针对四种不同拓扑结构的控制网络分析了网络时延的性能，进而给出了统一的数学模型；然后，提出了基于状态预测的具有时延补偿功能的状态反馈控制器的设计方法，并针对完美传输、延时传输及时变传输三种数据传输策略，分别研究了控制系统的稳定性问题；最后分析了模型误差对最大通讯间隔的影响；仿真结果表明了设计及控制方法的正确性和有效性。

From proposing the problem to solving them, this thesis follows the researching method of from generality to specialty, also puts the mathematic knowledge of boundary value problem and the singular integral equation into the use of elastic mechanics and fracture mechanics, which shows the thought of combining the theory with the practical use. Throughout the thesis, the tendency that different branch of science is in fusion and penetration can also be found.

本文从提出问题到解决问题遵循由一般到特殊的研究方法，把边值问题和奇异积分方程等数学知识应用到断裂力学，弹性力学中，体现了理论联系实际及边缘学科间相互渗透的思想。

We were cousins—his grandfather was King of Scots,and his great-grandfather was Henry VII of England.

我们是堂姐弟——他的祖父曾是苏格兰国王，他的曾祖父是英格兰的亨利二世。

I do want to help you, but I am in a quandary now!

我是想帮你，但是我现在左右为难啊！