数学分析

Thirdly, we should start with momentum equation and equation of continuity. They offer theory basement through equation dispersion, interpolation of disheveled datas and analysis of turbulence coefficient.

再者，从动量方程和连续方程入手，通过方程的离散、散乱数据的插值、紊动粘性系数等的分析，为数学模型的建立提供理论基础。

The study shows the neural network model of hydro turbine can describe its nonlinear characteristic really and ensures the continuity of its derivative function, so improved the convergence for hammer calculating and is a better description of hydro turbine hill chart for science research and engineering design.

利用所述方法建立的水轮机特性神经网络模型能真实地表达水轮机的特性，并且解决了插值法的导数不连续问题，从而确保了水击计算的收敛性，为用于工程计算和科学分析的水轮机特性表达开辟了新的途径。并利用所建立的数学模型，开发了基于MATLAB的可视化软件仿真平台。

At the same time, this paper set up a three-dimensional model, then analyzed and calculated of conducting cylinder heat transmission through software MATLAB and COSMOS. A mathematic model initial injection pulse-width is set up according to the quality's continuousness and the energy conservation law.

根据气体状态方程和能量守恒定律分析建立了基本喷油脉宽的数学模型，并运用在国产125ml摩托车汽油发动机上，仿真得出此发动机电控汽油喷射系统的初始喷油MAP图。

In first part,The Theory and Simulation on Reconstruction Algorithms,webuild a well-defined mathematical model for OCT,on which we prove more than 10theorems,analyze and answer a series of significant questions about OCTreconstruction,from existence, uniqueness,continuousness,stability to sampling,resolution,ill-posedness and accuracy.

在上篇重建算法的理论与实践中，我们将OCT抽象为基于n维Radon变换的数学模型，从而分析、讨论、回答了从存在性、唯一性、连续性、稳定件到采样条件、分辨能力以及病态特件和重建精度等一系列在理论和了OCT的重建理论体系。

Nonstandard analysis ; nlargements of number systems ; transfer principle ; external producing principle ; comparative principle ; potential numbers ; measure ; continuum ; discontinuum ; cardinal number ; continuum hypothesis ; Hilbert's first problem Ner

非标准分析；数系的扩大；转移原则；外的生成原则；比较原则；潜在数；测度；连续统；离散统；基数；连续统假设； Hilbert第一问题；新的数学实体；不可分的连续体； Zeno的总格言； Aristotle的猜想；庄周；无厚不可积；万世不竭；测度论的基础

A contour error model has been proposed based on the analysis of control systems of CNC lathe.

通过对CNC控制系统的分析，建立了轮廓误差的数学模型。

The grids can be densified locally where the flow is complicated for the sharp change of water depth.(5) 2-D hydrodynamic equations in the generalized curvilinear coordinates have been derived with the contravariant velocities as main variables. The new equations keep the original styles and physical meanings. Based on the water depth correction method, the 2-D flow numerical model has been established and validated by the measured data.

推导了广义曲线坐标系下以逆变流速张量作为主变量的二维水动力方程，新方程保持原有结构形式及物理含义，采用水位校正法建立了二维水流数学模型，经实测资料验证后的模型，模拟并分析了分流角度、宽深比等因素变化对分汊流平面二维水流结构的影响。

The circuit of the control system is achieved by analog circuit completely,which is simple and practical.

本文根据电磁理论，分析了磁悬浮球控制系统的原理，建立了系统的数学模型，并在MATLAB下进行仿真。

New mathematic models are developed to study the BGP stability instantaneous behavior during the convergence procedure, which focuses on the instantaneous pressure and its distribution on each router with the parameters of the BGP UPDATES.

在BGP SPP模型的基础上，建立新的BGP稳定性瞬时行为数学模型以分析多宿连接中BGP行为对路由器造成的瞬时压力大小和分布，以优化BGP网络配置。

Mathematical analysis is largely taken up with studying the conditions under which a given function will result in a convergent infinite series.

数学的分析常被当作研究形成收敛无穷级数的和的给定函数的条件。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。