数学基础

For researchers in this field because of the difficulty of the problem.After concisely introducing the development and current situation of inverted pendulum system research, the mechanism and mathematical model of inverted pendulum are presented.

本文首先阐述了倒立摆系统控制研究的发展过程和控制现状，介绍了倒立摆系统的结构和数学模型，并详细推导验证了四级倒立摆的数学模型，为更高层次的控制规律的研究打下了良好的基础。

The relation between the quality of subject selection and editor 's qualifications was studied. With traditional logical analysis as the first step of mathematization, the author established a mathematical model by giving up the set pattern of the pure qualitative analysis.

本文从总体上研究了选题质量与编辑人员素质之间的关系，并在其传统逻辑分析的基础上，作为数学化的第一步，试图跳出传统的纯粹定性分析的臼，而就其数学模型的建立进行了尝试与讨论。

The research of these subjects has related to pure and applied mathematics such as algebra, geometry, operator perturbation theory, matrix anal-ysis, approximation theory, multivariate linear modeling, optimality principle and quantum physics etc.

对它们的研究涉及到基础数学与应用数学的许多分支，诸如代数学、几何理论、算子扰动理论、矩阵理论、逼近论、优化理论与量子物理等。

Using the uniform design experimental method, the optimum complexing and extracting condition is that 97.6% DMF, 1.1% FeC13 and 1.2% polar solvent after the regression equation was established and mathematical analysis was carried out.

利用均匀设计实验方法进行了络合实验，并回归出相关的数学方程。在数学分析的基础上得出了最佳的络合萃取条件，即在DMF为97.7%，FeCl3为1.1%，极性溶剂为1.2%时，可以达到最佳的络合脱硫效果。

Its theoretic foundation is integration geometry, random theory of set, topology, modern probability, algebra, theory of set, graph theory, and so on.

其最基本的数学理论基础是积分几何和随机集论，同时还涉及到拓扑学、现代概率论、近代代数、集合论、图论等一系列数学分支。

On this foundation, this text sums up the basic principle of permeating mathematics method of thinking in junior high school mathematics: Announce to public and permeate," show"and " hidden" combinative, follow the sequence and advance gradually, spiral raising, make a point of the process, permeat on time, sum in time, system induce, problem solving, outstanding and deep, respect difference, layering teaching, come from knowledge, return to knowledge.

在此基础上，本文总结了初中数学中的数学思想与方法渗透的基本原则：揭示渗透，"潜""显"结合的原则，循序渐进，螺旋上升的原则，注重过程，适时渗透的原则，及时小结，系统归纳的原则，问题解决，突出深化的原则，尊重差异，分层教学的原则，源于知识，回归知识的原则。

The professional teaching aid and teaching activities can help children to understand the concept of number ,as well as the relationship between the number and figures.

通过专业的教具和教学活动，帮助宝宝理解数的概念以及数字与数量的关系，激发宝宝对数学的兴趣，为宝宝未来的数学学习奠定基础。

This paper introduced the appliance of probability and statistics in reality,including classical model,formula of total probability, normal distribute,mathematics expectation and the central limit theorem.While it also discusses the widely uses of probability and statistics and the close relationship with the real life.Therefore,it lays the theoretical foundation for the practical uses with probability and statistics,and the basis of mathematics model.

本文介绍了概率统计的某些知识在实际问题中的应用，主要围绕古典概型，全概率公式，正态分布，数学期望，极限定理等有关知识，探讨概率统计知识在实际生活中的广泛应用，进一步揭示概率统计与实际生活的密切联系，为应用概率知识解决实际问题，数学模型的建立，学科知识的迁移奠定一定的理论基础。

This article studies based on the shortest path city public transportation intelligence inquiry system, first aims at the city public transportation line network chart establishment mathematical model; Then research based on above mathematical model database creation method and corresponding algorithm design, with take Dijkstra algorithm as foundation, based on path shortest public transportation line inquiry algorithm, and through simple analog data confirmation algorithm validity; Finally brief introduction according to this thought design realization city public transportation intelligence inquiry system.

研究基于最短道路的城市公交智能查询系统，首先针对城市公交线路网络图建立数学模型；然后研究基于上述数学模型的数据库建立方法和相应的算法设计，和以Dijkstra算法为基础的、基于道路最短的公交线路查询算法，并通过简单模拟数据验证算法的有效性；最后简要介绍按此思想设计实现的城市公交智能查询系统。

Because of the strong non-linearity of the systems themselves and the addition of the resonant components, the modeling of these system becomes difficult, its effect sometimes is unideal even invalid that applying conventional controlling methods. The strategy of fuzzy control needn't constituting mathematics model and control the system based on control experience completely, fuzzy control is fit for controlling the systems of non-linear and uncertain.

但是由于这些系统本身严重的非线性、时变不确定性以及谐振元件的加入，使得系统数学模型很难建立，应用传统的控制方法有时效果不理想甚至是无效的，而模糊控制策略无需建立精确数学模型，是在控制经验基础上实现对系统进行控制，适合对非线性及不确定性系统进行有效控制。

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。