数学化

Furthermore, it is possible to provide appropriate objects to design flight control systems for hypersonic vehicle.

针对高度非线性和强耦合的高超声速飞行器数学模型，引入了反馈线性化原理，将其非线性的数学模型转化成符合控制设计要求的等效线性模型。

In chapter 2,nonlinear model and linear model of the single inverted pendulum are given.

第2章给出了一级旋转式倒立摆系统的非线性数学模型和线性化数学模型。

Logicism holes that mathematics can be reduced to logic, but the logicists were beaten by the discovery of the set paradox, because they have not discerned the intrinsic differences between logic and mathematics.

逻辑主义认为数学可以化归为逻辑，集合论悖论的发现给逻辑主义者造成重大的打击，逻辑主义失败的原因在于他们没有看到逻辑与数学之间存在着质的区别。

ABSTRACT It is very difficult to get exact mathematical models of industrial processes, models used in design procedure of control systems are commonly mathematical models through approximation.

在实际工程应用中通常很难得到被控对象的精确数学模型，在控制系统设计过程中所采用的模型常常是在一定程度上的经过近似化处理的数学模型。

The mathematical model is dispersed by finite-volume method and the dispersed equations are solved by SIMPLER algorithm. This is the first time to solve a problem of drilling fluid mechanics with the numerical method of Newtonian fluid mechanics.

5首次将牛顿流体力学经常采用的数值方法用于钻井流体力学的研究中：用有限体积法离散钻井液流动和传热的数学模型，用Simpler算法求解该数学模型的离散化方程。

In chapter 4, some vector mathematical definitions are first given to position tolerance zones; second, the principle of variation geometry is introduced, and the mathematical foundation of automatic generation of a approximate linear equation of tolerance design function by variation geometry is first proven; tangent method and two-point slope method based variation geometry are main studied.

第四章首先对一些位置公差带给出了矢量化的数学定义；然后介绍了变动几何的原理，首次论证了变动几何能产生近似线性公差设计函数的数学依据，并着重研究了基于变动几何的切线法和二点斜率法。

The free surface of the flow can be obtained from the discrete solution of the free surface flow equation.

建立了三维水流大涡模拟数学模型，采用迭代法求解速度和压力，再由离散化的自由水面运动方程求解自由水面；根据试验观测的水面线和流速分布资料，对数学模型进行验证。

Constructing a unitary matrix for transformation of coordinates by means of quadratic form theory,the Hamiltonian of the 3D coordinate-momentum coupling harmonic oscillator is transformed into diagonalmatrix,it not only offer a general mathematic method for solving this kind of problems,but also have an active effect upon upgrading students ability to solve physics problems by mathematical theory.

利用二次型理论构造一个幺正矩阵进行表象变换，将|x〉表象中的三模坐标-动量耦合量子谐振子体系的哈密顿量对角化，这不仅提供了一种解决该类问题的一般数学方法，同时对培养和提升学生运用数学工具解决复杂物理问题的能力也具有积极的指导作用。

This paper will analyze shortages of traditional test of mathematics pedagogy course,point out the imminency of the test innovation,explore the advantage of situated tests fited with the innovation of mathematics course of the foundational education,the modes found situation,the designing of question type.

分析数学教学论课程传统考试的弊端，提出考试改革的迫切性，探讨与基础教育数学课程改革相适应的情境化考试的优势及情境创设方式和考试题型设计

Results and Conclusion When the workpiece is of little elastic deformation, the discretization approach as proposed in this paper is appli- cable not only to the mathematical modeling for thread-cutting process, but to the modeling for processing simple workpiece by using complex cutter, and processing complex workpiece by using simple cutter.

结果和结论作者提出的离散化思路在工件弹性变形不大时，不仅适用于螺纹切削过程的数学建模，亦适用于其它复杂形状刀具加工简单形状工件和用简单形状刀具加工复杂形状工件时的数学建模。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。