应用数学

Because they are fascinated by mathematics , logic , and science and have taken on the rational madness of their scientific confreres , we read much these days about information theory and its relation to the psychology and composition of music ; about statistical probabilities , stochastics , and the markoff chain and their compositional possibilities , about group and set theory as applied to serial music ; about aleatory and indeterminacy and entropy

因为他们迷于数学，逻辑，与科学，将理智狂当成他们科学同伴；我们最近读了很多，关于资讯理论及其与心理学及与作曲的关系；关于统计或然率，随机，及马可夫？及其谱曲可行性；关于群组与集合理论之应用于系列音乐；关于偶发性，不确定性，与熵

Then the theory and algorithm of optimal control are introduced into the study of dynamic system parameters identification.

将最优控制的数学理论和算法应用于参数辨识问题的研究。

Nonlinear elliptic partial different equations of second order is amain branch of nonlinear partial different equations.It has many ap-plications in mathematics,physics,science and technology,engineer-ing.

二阶非线性椭圆型偏微分方程是非线性偏微分方程的重要分支，它在数学、物理、科技和工程中有着广泛的应用。

The linear system optimum control theory distributes one of parameter systembasic topics,in domains and so on aerospace,national defense,finance,communicationhas the widespread application prospect.simultaneously, because the research tech-nique involves to foundation mathematics theories and so on the functional analysis,analysis situs,geometry, algebra.

线性系统的最优控制理论是分布参数系统的基本课题之一，在航空航天、国防、金融、通讯等领域有着广泛的应用前景。同时，由于研究手法涉及到泛函分析、拓扑学、几何学、代数学等基础数学理论。

The problems of analytic continuation are frequently encountered in many practical ap- plications.

大家知道，解析延拓是我们实际数学研究中会经常碰到的问题，并有实际的应用。

For the single way filament winding of a cone structure , the corresponding mathematics model and winding pattern for four axes winding machine were derived by using space analytic geometry.

本文对锥体结构的单向纤维缠绕，应用空间解析几何的知识建立了相应的数学模型，并建立了在相应于四轴缠绕机上的缠绕线型，同时利用VB6。

It is an important step of the transition for Chinese mathematicians to study and to use the translations of western mathematical textbooks on calculus, analytical geometry, algebra, and probability, such as DWJ, Wei Ji Su Yuan, Jue Yi Shu Xue.

研究晚清中算家对微积分的学习情况、理解程度以及应用能力，无疑对于研究中国数学的近代化历程具有十分重要的意义。

An adaptive grid scheme controlling cell area is used to generated grids in the divergent section of symmetric annular nozzle, and the generated grids are used in the flowfield calculation through the uncoupled way. The elliptic equations are used to generate grids in three dimensional regions of FDN divergent section, the source terms used in the equations employ a mathematical form which is independent of the boundary shape and of the boundary grid point distribution, the free parameters contained in the source terms are determined by the two restraint conditions, the intersection angle of transverse grid lines with boundaries and the local curvature of the transverse grid lines at the boundaries, and the interior grid distribution controlled directly by the grid point distribution assigned on the boundaries is realized, it makes the grid more clustering near the nozzle wall. For the generated grids in the whole computational regions have a good smoothness and orthogonality, the accuracy of calculation in the flowfield is ensured.

对轴对称的环形喷管采用控制网格面积的自适应网格方法对扩散段部分进行了网格生成，并通过非耦合方式应用于喷管的流场计算中；对强制偏流喷管扩散段内的三维区域采用椭圆型方程进行网格生成，方程中的源项采用了与边界形状和边界网格点分布无关的数学形式，源项内的自由参数由横向网格线与边界的交角及横向网格线在边界处的局部曲率两个约束条件来确定，实现了由边界上的网格分布直接控制内部的网格点，使壁面附近具有较密集的网格，并且在整个计算区域内的网格都具有良好的光滑性和正交性，从而保证了流场计算的准确性。

Through simulating the speckle intensity distribution in the far field of a random rough surface,we compute the degree of angular speckle correlation by substituting spatial average in speckle pattern for conventional ensemble average,and determinate the surface roughn.

通过模拟计算随机粗糙表面的远场散斑场，以散斑图面上的空间平均代替常规的集平均来计算角度散斑相关系数，并应用集平均的数学模型反演粗糙度参量。

Through simulating the speckle intensity distribution in the far field of a random rough surface, we compute the degree of angular speckle correlation by substituting spatial average in speckle pattern for conventional ensemble average, and determinate the surface roughness by the mathematic model of ensemble average.

通过模拟计算随机粗糙表面的远场散斑场，以散斑图面上的空间平均代替常规的集平均来计算角度散斑相关系数，并应用集平均的数学模型反演粗糙度参量。

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。