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In this paper,the diagonal Cartesian method simulating the complex boundary, together with thetreatment to wetting-drying dynamic variation of the boundary, is applied into thetwo-dimensional shallow-water flows and sediment transport mathematical modeling,and their governing equations are discretized and solved in diagonal Cartesiancoordinates.

本论文采用斜对角笛卡尔坐标方法对不规则的复杂边界进行模拟，重点处理好干湿动边界的变化，并在斜对角笛卡尔坐标系中进行二维浅水运动的水流泥沙基本控制方程的离散和数值计算求解。

Matrix is an important mathematical concept,which is among the major research fields of Algebra study . Diagonalization of the matrix is the key content of Matrix Theory.

矩阵是数学中的一个重要的基本概念，是代数学的一个主要研究对象，而矩阵的对角化是矩阵论中的一个重点内容。

According to the mathematical calculations in the same zone, hexangonal of space more than diamond-shaped out of 15%.

不梢据数学筹算不未知，在同样的不天区边界边，六角不神所据有的不工夫背积给比钻石不神众不入15%。

It simulates the human thought and the decision-making process, and solves the control difficult problem of complex system that describing is very difficult with the precise mathematical model (differential or difference equation).

基于知识驱动的拟人智能控制系统，是一种模拟人类思维和决策过程，解决难以用精确的数学模型来描述的复杂系统的控制难题的一种全新的控制系统。

Transpiration ; mathematical analysis ; heat transfer ; differential equation ; difference equation.

发汗；数学分析；热传导；微分方程；差分方程

Based on the ideas that linearity instead of non-linearity and difference quotient instead of differential quotient, and establish the mathematical model on the computer-aided alignment.

总结了用于计算机辅助装调技术中的光学检测手段以及该技术的优化算法，分析了进行计算机辅助装调技术的重要性和必要性。

The involute tooth curve and transition curve mathematical model of gear drive with few teeth number difference is set up.

计算机可视化动态模拟是近几年发展起来的一门新型学科。

Two mathematical derivations of them have been introduced by using the properties of differentiable function and the derivation algorithm of multiple function in present paper, and several mistakes in some derivative methods have also been pointed out.

介绍了应用可微函数的性质及多元复合函数的求导性质推导热力学中著名的麦克斯韦关系式的方法，指出了有关文献中推导过程的不

In mathematical viewpoint, this kind of systems are called non-smooth dynamical systems, i.e., right-hand sides of the systems are not continuous or differentiable.

从数学的观点来看，这一类系统称为非光滑动力系统，即这些系统的右端是不连续或不可微的。

This paper establishes the mathematical equatations for Digital Differential Analyzer involute interpolations .

分析并建立了数字积分法渐开线插补的数学模型，采用该方法设计的微机数控系统能直接进行渐开线轮廓的加

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。