数学

The operator differential equations in abstract spaces is animportant branch of modern mathematics.

抽象空间中的算子微分方程是现代数学的一个重要分支，它与数学的许多其它分支有着密切的联系，其理论对工程、力学、数。。。

Based on theanalysis of topology structure of parallel mechanisms and using differential topology anddifferential manifolds as mathematical tools, we propose a new classification method. Thismethod classifies singularities of parallel mechanisms into two basic types, i.e. topologysingularity and parameterization singularity. This kind of classification has clear physical andmathematical meaning and fully reveals the characteristic of configuration space of parallelmechanisms.

采用微分拓扑和微分流形等现代数学工具，在对并联机构位形空间的拓扑结构进行分析的基础上，提出了一种新的奇异位形的分类方法，即把奇异位形分为拓扑奇异位形、参数化奇异位形两种类型，这种分类方法充分体现了并联机构位形空间的特点，具有十分明确的物理和数学意义。

The digital simulation is carried out by use of computer simulation.

运用计算机仿真，对相应的数学模型进行了数学分析，得到了相关因素对目标值的影响趋势。

Inhomogeneous hyperbolic conservation law; viscosity solution; weak solution; entropy-entropy flux; maximum principle; Young measure; Dirac measure; compensated compectness

基础科学，数学，数学分析非齐次双曲型守恒律；粘性解；弱解；熵-熵通量；极值原理； Young测度； Dirac测度；补偿列紧理论

Mathematical intuition is a direct reflection of mathematical object, structure and the thinking.

数学直觉思维是直接反映数学对象、结构以及关系的思维活动。

This makes more and more people pay more attention to studies and applications of numerical simulation in thermal recovery. In this research, we have developed a reliable mathematical model for thermal recovery, which takes a full consideration of the effect of viscos, gravitical and capillary forces on the three-phase flow of gas, water and oil, the effect of the temperature on the medium characteristics of liquid and solid, the phase equilibrium of gas-liquid in each component, heat transportation including connection, conduction and radiation as well as heat losses in both the overburn and underlying strata. In the space discreation of the mathematical model, we have proposed a new method based on the improvement of the conventional nine-points difference approximation, which has a higher difference accurancy.

本项研究以热力采油的主要机理为基础，充分考虑在粘性力、重力和毛管力作用下油水气三相流动，考虑温度对各种流体和固体介质物性的影响，考虑每一组分中汽液两相的相平衡，考虑热在地层中的传导、对流和辐射以及上下盖层的热损失，利用热力学第一定律、质量守恒定律和流体迁移定律，建立了正确可靠的注蒸汽数学模型；在对数学模型进行空间离散时，利用控制有限体积积分法，对以往的九点差分近似作了合理的改进，使其具有较高的差分近似精度：结果表明，该公式的近似精度要比以往文献中所给的九点差分近似精度高，可以认为，在油藏数值模拟中，如果遇到非均质情况，使用这种九点差分近似更合理。

The course is divided into two parts: Part 1: Signal representations - discrete and continuous; System representations; Linear time invariant systems (Superposition, Causality, Impulse response, Stability, Transfer functions); Discrete and continuous convolution.

通过 本课程的学习，学生应能掌握信号分析与线性系统的基本理论及分析方法，应能建立简单电路与系统的数学模型，并对数学模型求解，为后续课程的学习打好基础。

Being a helpful mathematical tool, discrete mathematics plays a significant role in the development and research of computer science.

离散数学作为有利的数学工具，对计算机的发展与计算机科学的研究起着重大的作用。

Discrete mathematics is part of modern mathematics and a branch of studying the structure and interrelation of discrete objects.

离散数学属于现代数学的范畴，是研究离散量的结构及相互关系的学科。

Discrete mathematics is an important branch of modern mathematics. It is the fundamental course of computing science.

离散数学是现代数学的一个重要分支，是计算机科学中的基础理论核心课程，它研究世界事物间的离散结构和相互关系。

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。