数学

In chapter 2 of this dissertation, we give the mathematical definition of selfsimilarity, and describe some of its properties. How to justify a self-similar process and get its autocorrelation coefficient (or self-similar parameter) are also discussed.

由于对于非马氏过程的排队系统进行数学分析是十分困难的，因此，对自相似业务流特性及网络性能的研究，大多采用某种近似的数学求解，或直接进行计算机仿真，这就需要有快速、准确的自相似序列生成方法。

Rational Difference Equation; Global Attractively; Global Asymptotical Stability; Subsequence; Auxiliary equation

基础科学，数学，数学分析有理差分方程；全局吸引性；全局渐近稳定性；半环；辅助方程

Combined KdV equation; Generalized KdV equation; Reduction-order method; Auxiliary differential equation technique; Solitarywave solutions; Periodic solutions; Solitons; Algebraic travelling wave solutions; Physical structures

基础科学，数学，数学分析KdV-mKdV方程；广义KdV方程；降阶法；辅助微分方程；孤波解；周期解；孤子解；代数行波解；物理结构

Auxiliary function is an important method of solving problems and used widely in mathematical analysis.

辅助函数构造法是数学分析中一个重要的思想方法，在数学分析中具有广泛的应用。

In the modified drift flux model both the acceleration by gravity and the acceleration of the average volumetric flow were taken into account for the calculation of the drift velocities.

为计算漂移数学模型中的汽相速度，综合考虑了重力和流体本身的加速作用对汽相漂移速度的影响，故该漂移数学模型可用于分析多维汽液两相流。

On the base of Frege's study, Russell put forward the theory of types to settle Russell's paradox. On the base of non-set, Russell brought forward axiom of infinity and axiom of option as the premises and built a system. He tried to defined the non-negative integer in logic terms and derive the theorems of arithmetic from the laws of logic by deductive method.

罗素在弗雷格研究的基础上，提出逻辑类型论来解决罗素悖论，以非集合论理论为基础，以无穷公理和选择公理为前提，利用逻辑概念定义数学概念，并构造系统，通过逻辑演绎法从逻辑公理推导数学定理。

"Intuitionists rejected certain concepts of logic and the notion that the axiomatic method would suffice to explain all of mathematics, instead seeing mathematics as an intellectual activity dealing with mental constructions independent of language and any external reality."

直觉主义否认某些逻辑概念，公理方法的注释已经足够解释数学的全部，而不把数学看作是处理与语言和任何外部现实无关的思想构造的一种智力活动。

"Intuitionists reject ed certain concepts of logic and the notion that the axiomatic method would suffice to explain all of mathematics, instead seeing mathematics as an intellectual activity dealing with mental constructions independent of language and any external reality."

直觉主义否认某些逻辑概念，公理方法的注释已经足够解释数学的全部，而不把数学看作是处理与语言和任何外部现实无关的思想构造的一种智力活动。

Through the use of a coordinate axis and function tools, it tries to create a mathematical model and integration of the choice funnel and the counter-fact inference, and to make a functional analysis of the funnel model and find the mathematical relationship between the choice funnel and the counter-fact inference, and finally to definite the demarcation of the range of its usage and the limit of its effectiveness.

通过使用坐标轴和函数工具，对"选择的漏斗"和"反事实推理"进行数学建模与整合，对漏斗模型进行函数分析，从而推导出"选择的漏斗"与"反事实推理"之间的数学关系，界定两者的使用范围和效力限度。

Based on the classical theory of interior ballistics , the model of this device is built.

以某种新型的燃气式活塞弹射机构为研究对象，运用经典内弹道学理论分析了整个弹射过程，建立了弹射机构的数学模型，并对该数学模型进行仿真。

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。