查询词典 constructive mathematics

China has implemented new courses in a few years, the study of middle school teachers teaching and students studying math on the investigation at this stage Instructional Design Research expounded on the need from classroom teaching and learning theories analysis, to find guidance in the design of classroom teaching under the new curriculum theory and classroom teaching on the design analysis of the whole process; From the typical class (class mathematical concepts and mathematical theory classes and study complicated math classes, the study of mathematics learning courses, open learning mathematics classes, cooperative learning math lessons) teaching the practice of design study, initial design, this is my classroom teaching design in recent years the practice of summary, the results of this study reflect.

新课程在我国已实施好几年了，本研究通过对初中教师与学生数学教学情况的调查，阐述研究现阶段课堂教学设计的必要性；从课堂教学理论、学习理论的分析中，寻找指导新课程下课堂教学设计的理论，并就课堂教学设计的全过程进行剖析；从几种典型课(数学概念课、数学原理课、数学复习课、数学研究性学习课、数学开放探究课、数学合作学习课)的课堂教学设计的实践研究中，提出初步的设计思路，这既是本人近年来课堂教学设计的实践总结，也是本研究的成果体现。

Realistic Mathematics Education and Multiple Intelligences Inspired Education — A Study of Mathematization in School Mathematics (ICMI-15 Study).

现实数学教育与多元智能教育：学校数学中的数学化思想ICMI-15 研究计划

There is mutual contradiction between direction estimation of user's signal and power allocation among all users in the beamforming algorithm. A twice game beamforming algorithm based on game theory is proposed to deal with it. Beamforming game algorithm mathematics model is constructed. During the first game, direction of signal and power allocation are mapped the game theory as "player", which are modeled as the problem of maximin function and obtain direction estimation first. Then during the second game, power allocations of different users are described as a multi-user game. Power updated algorithm is designed. The existence and uniqueness of the Nash equilibrium in the twice game beamforming algorithm based on game theory are proved by mathematics derivation.

摘要针对波束成形算法中，用户的信号方向估计值和用户之间的功率分配存在着相互矛盾，本文提出了一种基于博弈论的二次博弈波束成形算法，构建了波束成形博弈算法数学模型，首先在第一次博弈的时候，将波束成形算法中的信号方向和功率分配映射为博弈论数学模型中的"局中人"，将其建模为函数的极大极小值求解问题，先求解出信号方向；然后在第二次博弈的时候，将不同用户的功率分配过程描述为一个多用户的博弈过程，设计了功率分配更新算法，通过数学推导论证了纳什平衡点的存在性和唯一性。

During the course of the well-known "new mathematics" campaign, the status of Euclidean geometry was completely overthrown in I960" s. After deeply thought of "new mathematics", the standpoint that geometry curriculum should reflect the content and method of modern geometry and be in touch with the student" s real life was agreed on. Other countries have tried some significant attempts. We can find from some geometry textbooks that the methods of transform and vector have appeared as a normal part. Simultaneous, not only the new developments of geometry such as Topology have been referred , but also the connection between geometry and practice has been strengthened.In China, geometry curriculum is also in the during of innovation.

而学校几何课程在二千年的时间里一直没有多大的变化，直到二十世纪初"克莱因—培利运动"的第一次冲击，到60年代"新数学"运动的全盘改革，以及之后的深入反思，中学几何课程要反映现代几何学的内容和方法以及紧密联系于实践的观点已经受到普遍的重视，国外的几何课程已经在这方面做了不少有意义的尝试，从国外的一些几何教材中可以发现：变换、向量等工具已经作为正式的内容进入几何教学，拓扑学等几何的新发展也开始在教材中有所体现；几何课程与实践之间的联系更是在很大程度上得以加强。

The study methods: Based on digital printing and offset printing technology principle, the basic parameters having effect on the ink-jet printing output quality were analyzed. And the mathematics models between the ink quantity and the solid density, and the relation between the gamma and printing contrast were established. The relation among the output dot area coverage, the original dot area coverage and the dot-gain percent was analyzed. And the mathematics models of printing characteristics curves and dot-gain curves were established. The factors influencing the dot-gain were analyzed, and then the dot-gain compensation function was acquired. All the models were verified by the method of regression analysis. And the precisions of the models were obtained by the correlation coefficient and multiple correlation coefficients.

研究方法：根据数码印刷以及胶版印刷的工艺原理，分析了影响喷墨印刷输出质量的基本参数，建立墨量与样张实地密度、γ与相对反差的数学模型；分析输出网点面积率、标定网点面积率以及网点扩大率三者之间的关系，建立网点扩大曲线和印刷阶调复制曲线的数学模型，并对网点扩大的影响因素进行了分析，导出了网点扩大补偿函数；运用回归分析方法分析模型，并用相关系数和复相关系数检验回归模型的显著性；使用灰平衡方程，结合回归法得出灰平衡控制曲线。

Nonlinear functional analysis is an important branch of modern analysis mathematics, because it can explain all kinds of natural phenomenal, more and more mathematics are devoting their time to it.

中文摘要：非线性泛函分析是现代分析数学的一个重要分支，因其能很好的解释自然界中各种各样的自然现象受到了越来越多的数学工作者的广泛关注。

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。

With the development and improvement of numeration mathematics and computer technology, the methods of the process system synthesis included the mathematics programming and the artificial intelligence will be more and more important and significant.

随着计算数学和计算机技术的发展，数学规划法和人工智能相结合发展而来的过程系统综合方法将占据越来越重要的地位。

The study of operator algebra theory began in 30s of the 20th century: With thefast development of the theory, now it has become a hot branch playing the role ofan initiator in modern mathematics. It has unexpected relations and inter infiltrationswith quantum mechanics, noncommutative geometry, linear system and control theory,number theory as well as some other important branches of mathematics.

算子代数理论产生于20世纪30年代，随着这一理论的迅速发展，它已成为现代数学的一个热门分支，它与量子力学，非交换几何，线性系统和控制理论，数论以及其它一些数学分支有着出人意料的联系和相互渗透。

First, based on the mathematics model of comprehensive decision at present, the concept of evaluation function is introduced. Based on the thinking stability of decision-maker, the essential meaning of comprehensive decision model is discussed, therefore, and a new improved approach on the comprehensive decision model is put forward. Second, the mathematics model of interval number comprehensive decision is systematically discussed, and the ranking method of interval number based on the decision-maker's attitude is provided. Finally, the concept of valuation order relation is introduced, the valuation order relation of interval number and fuzzy number are systematically discussed in detail, it provides a new method to research the order relations of interval number and fuzzy number, therefore, these achievements can be applied in the intelligent system.

首先，针对常用的综合决策模型，给出了评判函数的概念，讨论了综合决策模型的本质意义，指出决策者的思维应具有稳定性，从而给出了综合决策模型的一种改进方法；第二，在此基础上，给出了区间数的综合决策模型，并详细讨论了基于决策者的决策心态的区间数的排序方法；第三，引入了赋值序关系的概念，详细讨论了区间数和模糊数的赋值序关系，为区间数和模糊数的序关系研究提供了新的思路与方法，这些均有望在智能系统中得到广泛的应用。

We are in a good position to meet your requirements.

我们完全可以满足你方的需求。

We are all pervade d with a sense of disaster.

我们普遍有大祸降临的感觉。