数学分析

Nonlinear functional analysis is not only profound theory but also widelyused research discipline in mathematics, in the context of nonlinear problemsof mathematics and natural sciences, a number of theories and methods of dil-ing with nonlinear problems have been established.

非线性泛函分析是数学中既有深刻理论又有广泛应用的研究学科，以数学和自然科学中出现的非线性问题为背景，建立了处理非线性问题的若干理论和方法。

By both defining and quantifying of preference, four classes of preference functions and an aggregate preference function were constructed by using numerical method, and a mathematics model of physical programming was proposed.

通过定义偏好的概念及对偏好的数学量化，采用数值分析方法，构造了四种不同偏好结构的偏好函数，进而构造出综合偏好函数，并建立了物理规划数学模型。

Plasticity : Mathematical Theory and Numerical Analysis Interdisciplinary Applied Mathematics, Vol.

中文参考译名：可塑性：数学理论和数值分析（跨学科应用数学卷。9。

Partial and total differentials, Vector analysis, Orthogonal curvilinear coordinates, Matrices and

基础物理数学( S0043)(0，3)/基础应用数学( S0249)(0，3)偏微及全微分(1)、向量分析(7)、正交曲线座标系(3)、矩阵及本徵值问题(4)、常系数全微分方程式(1)。

Based on an analysis of the mechanism of flow pattern alternation, approximate criterion for flow pattern alternation was formulated, and a numerical model was worked out for simulation of free overfall and submerged overfall alternation by combination of the above two models.

分析两种不同水流形态的交替机理，建立两种水流的转换条件，联立两种不同形态的数学模型构成保水堰的堰流和满流交替的非恒定流数学模型。

The effects of the linear birefringence and incident polarizing angle upon the performance of a bulk glass optical current sensor are derived and analyzed, a modulation formula to describe the influences of the linear birefringence to the output signal of the sensor is given.The effect of the incident polarizing angle upon the performance of the system and the condition to determine if or not it can exert the influence are also given.

对线性双折射及入射起偏角对光学玻璃电流传感器输出特性的影响进行了理论推导与分析，给出了光学玻璃电流传感器在非理想状态下线性双折射对输出电压的调制函数的数学表达式，并给出了入射起偏角对系统影响的数学表达式及其对系统有无影响的条件。

"Among the principal branch es of mathematics are algebra, analysis, arithmetic, combinatorics, Euclidean and non-Euclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry."

数学的主要分支有：代数学、分析、算术、组合学、欧几里德几何和非欧几里德几何、赛局论、数论、计算数学、最优化、机率论、集合论、统计学、拓扑学和三角学。

One target to study the network performance is to find out the mathematical expressions between each measure. Probability, Random Process and Queuing Theory are important and useful mathematical tools for network analysis.

求出反映定量指标间关系的数学表达式是研究网络性能的目标之一，而概率论、随机过程和排队论是进行网络性能分析的重要数学工具。

First of all, the physical properties of plastic projectile body influencing the motion of pro- jectile are analysed in this paper which depends on the test results.

本文以实验结果为依据，首先分析了塑料弹体影响弹丸膛内运动的物理性能，然后结合旋转弹丸的膛内运动特征，经过模拟试验，采用数学拟合法，初步建立旋转稳定弹塑料弹体工程设计计算的数学模型(包括结构尺寸设计计算、强度计算和内弹道计算)。

A tolerance analysis procedure based on homogeneous transform and Monte Carlo Simulation is proposed in this research. The propagation of variation in 3-D space is treated as propagation of errors during transformations of Cartesian frames, which are set up on the Key Characteristic Points.

通过定义车身装配坐标系统，根据微分运动的原理，建立了计算车身零部件位姿关系的数学模型，对典型公差语义的数学表达进行了研究；并应用蒙特卡洛模拟，对关键特征点偏差传播的统计特性进行了分析。

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。