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An extended hyperbolic mild-slope equation, which can take such terms as wind input, bottom friction and nonlinearity of wave into account, here has been deduced into a parabolic one in the form of a series of governing equations described with complex amplitude. It became a complete wave model when integrated with corresponding physical and imaginary boundaries, and can be solved through the improved Crank-Nicholson or the well known Alternating Direction Implicit difference method, both of which can accelerate the convergent speed , expand limitation of the mathematical method and improve the quality of the solution.

本文基于综合考虑底摩阻、风能输入及非线性影响的推广双曲型缓坡方程，将其进行转换，产生一个演变方程，其复振幅控制方程为抛物线性，并采用ADI差分格式、改进的Crank-Nicholson格式及相应的物理和虚拟边界条件进行求解，以提高数值模拟的适用性、数值计算的稳定性、收敛速度及精度。

In the present paper, based on the thorough analysis and research of the mathematical model for the flow field and temperature field, the filling and solidification process of aluminous hub was successfully simulated by using ANSYS software.

本文以大型有限元仿真软件ANSYS为工具，在对铸造过程流场、温度场的数学模型进行深入分析研究的基础上，成功的模拟了铝合金轮毂类铸件低压铸造的充型凝固过程，并根据模拟结果对铸件可能产生的缺陷及部位进行了预测，完成了利用ANSYS软件来检测、校核模具设计和工艺安排的工作。

It also discussed how to amend the mathematical model in application.

同时也对如何准确的利用数学模型进行了探讨。

This paper researches on optimum design of large crude oil tanker structures with mathematical programming, aiming at the minimum weight of the cargo tank amidships.

本文采用数学规划的手段，对大型油船中部舱段结构进行了以减轻结构重量为目标的优化设计研究。

The mathematical model for formulation design and optimization of expanded ammonium nitrate rock explosive is also studied.

文中论述了含C、H、O、N元素的工业炸药配方设计数学模型的建构方法，研究了岩石膨化硝铵炸药配方设计及最优化的数学模型，给出了岩石膨化硝铵炸药配方设计及最优化数学模型的计算机计算结果。

A mathematical model of the medium components was estabiished by using compauter to analyse and analogize the experimental results.

利用计算机对试验结果进行运算和模拟，建立了培养基各组份及其配比对产量影响的数学模型。

The physical and mathematical models of underground gasification are erected; a temperature field in the district of gasification is set up; the instance analysis on the computer analogue simulation machine has been carried out; systematic analysis and research on the variable rules of temperature and different components has also been taken and some important resultants about the best position for drilling and the relationship between adjustment and control and gasification stability have gained, which opens up a new field for the sight research of the control of the stability of underground gas of coal.

建立了钻孔调控气化的物理模型、数学模型及气化盘区温度场，并进行了计算机模拟仿真及实例分析，对温度及各组分的变化规律进行了系统的分析研究，得出了最佳调控钻孔位置及调控与气化稳定的关系等重要结论，为煤炭地下气化稳定控制的可视化研究开辟了新的领域。

Studying the chemical balance,energy balance and material balance in the gasification process and probing into the interaction in the gasification process and law of changing offer a theoretical foundation for gasification control. Through the materialization nature of coal, the gasification characteristics of the deoxidize zone are mainly studied (the dynamics characteristics and chemical characteristics). Probing into coz deoxidize mechanism ?establishes the theoretical foundation for the proposition of mark gas;the Principle to adjust and control temperature and applying methods is studied;the physical and mathematical models of underground gasification are set up;A temperature field in the district of gasification is set up and the instance analysis of computer analogue simulation machine has been carried out.

本文通过探讨"三带"基本特征，进而对煤炭地下气化的过程稳定进行研究；研究气化过程中的化学平衡、能量平衡及物料平衡，探讨气化过程中各组分之间的相互关系及变化规律，为气化调控提供理论依据；通过煤炭的物化性质，重点研究还原带的气化特征，分析探讨还原机理，为标志气体的提出奠定理论基础；研究以标志气体为核心的调控升温气化原理及实施方法；建立地下气化的物理模型与数学模型；建立气化盘区温度场，并进行计算机模拟仿真的实例分析。

By usingthe method of time series analysis, the mathematical model of the angula...

这个结果对于评定陀螺仪的性能和质量是有用的。

The modern physics development by to the concrete material embodiment inspection, moved towards to the abstract material abstract research, namely from specially moves towards general, its utilizes the mathematical instrument is also same, moves towards mathematics from physical mathematics physics, already developed the abstract algebra and the general analysis situs, from bad on the one hand said, the physicist because of lost the concrete material object to change confusedly, was at a loss how to proceed, from was good on the one hand says, the research technique from specially moved towards general, also caused its thinking mode to have the return, tended to the philosophy, this speaking of the physics, was one kind of significant crisis, but at the same time, Also is a brand-new development turning point.

现代物理学的发展已由对具体物质的具象考察，走向对抽象物质的抽象研究，即从特殊走向一般，其所运用的数学工具也一样，从物理的数学走向数学的物理，已经发展到抽象代数和一般拓扑学，从坏的一方面讲，物理学家因失去了具体的物质对象而变得迷茫，无所适从，从好的一方面讲，研究方法的从特殊走向一般，也使其思维方式发生了回归，趋向于哲学，这对物理学而言，是一种重大危机，但与此同时，也是一个全新的发展契机。

I can still vividly recall the impressive scenes you gave. You were among my friends and relatives who accompanied me from my house to the seaport and when the porters were slow to show up, you obligingly carried my suitcase for me.

你对我的种种感人情意，使我记忆犹新，那天你随着我的亲友从家里送我上轮船，搬运工迟迟不来，你毅然替我提着皮箱上船。

St. Nicholas became the patron saint of Russia, where he was famous for his red cape, flowing white beard, and bishop's mitre.

圣尼古拉成了俄罗斯人的守护神，在那里，他以身披红斗篷，留着飘逸的白胡须，戴着主教法冠而闻名。