数学基础

At completeness in theory, we give the base of mathematical morphology-complete lattice, and some nature of complete lattice.

作为理论上的完备性，我们给出了数学形态的代数学基础——完备格理论，并简单的介绍了完备格及其性质。

In this paper, the waved-edge force model is deduced on the basis of straight edge force model by use of the curve integral principle. This method is suited to the case for the complex 3-D grooves of random curve edge.

在直线刃铣刀片模型的基础上，利用曲线积分原理，建立了波形刃铣刀片铣削力数学模型，该方法可适用于任意曲线刃的三维复杂槽型的情况。

The crank and rocker mechanism is very important t o the compound pendulum jaw crusher.

在对复摆颚式破碎机曲柄摇杆机构进行运动分析的基础上，以排料口处动颚特性值最小为优化目标，建立其优化设计数学模型。

Computability is one of the most interesting and fundamental concepts in mathematics, philosophy and computer science, and it would be more than natural to ask what logic it induces. This is where computability logic comes in.

可计算性在数学、哲学和计算机科学领域是最有趣和最基础的概念之一，人们很自然地会问，从可计算性得出的是什么逻辑，这就是报告人新近提出的可计算性逻辑。

The design mainly works on many factors which effecting the volume efficiency of fracturing pump. These factors are working conditions of the pump,imbibitional valve,expulsive valve,clearance volume,sealing property, condensability of influent, liquid leakage and elastic defletion of pump cylinder. Based on these facors, we should induce the efficiency expression, famulate differential eguation and emulational mathematical model of fracturing pump.

本设计主要针对影响压裂泵容积效率的因素如：泵的工作情况、吸液阀结构参数、余隙容积、密封性能、液体的可压缩性、液体泄漏、泵缸的弹性形变等方面进行分析，在此基础上导出效率的表达式，建立微分方程，并建立压裂泵效率仿真的数学模型。

After a simple retrospect of the development and application of the heat pipe, the working elements and the history and the actual state of the investigation inside the thermosyphon, a numerical model based on the previous experimental and theoretical studies is developed to simulate and analyze the process of the flowage and heat transfer in the condensator of the two-phase closed thermosyphon.

本文首先简单回顾了热管的发展及应用情况，介绍了热虹吸管的工作机理及其内部凝结换热的研究历史和发展现状，然后在前人实验和理论研究的基础上提出了本文的研究方向，建立了一个数学模型，对两相闭式热虹吸管冷凝段的流动和传热过程进行了数值模拟和理论分析。

Starting from the conditions of law of conservation of energy and angular momentum,how to deal with simple disposal of several physical equations of the planetary motion by applying the elementary mathematical equations is proposed.

从角动量和能量守恒定律出发，建立行星椭圆运动的轨道方程，导出行星运动时的各个物理量表达式，从而给出了一种以初等数学为基础的处理行星运动的简洁方法。

In chapter four, in order to study the micro-process of the compress of the high speed oil-free twin screw compressor, a mathematical model is built based on the conservation of mass and the first principle of thermodynamics.

第四章为了深入研究无油双螺杆压缩机的微观工作过程，以质量守恒定律和热力学第一定律为基础，建立了双螺杆工作过程的数学模型。

Conventional economic modeling has become so closely identified with the mathematics of constrained maximization that it has become difficult to tell whether this technique is the basis of scientifically testable propositions or a self-contained language of discourse in the postmodern sense.

传统的经济模型，已成为密切合作，以便确定与数学约束的最大化，它已成为很难说这是否是技术的基础上，科学地测主张或自我载语言的话语在后现代意识。

Modern information technology in order to constructivist theory, in order to enrich the p

现代信息技术以建构主义理论为基础，以丰富的表现力、快速的信息传递、交互性强、充分的资源共享性等优势进入课堂，打破了传统的数学课堂教学模式的束缚，使教育的内容、手段和方法发生了根本性的变革。

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。