查询词典 mathematical expectation

Is a A very common method of problem solving even in universities in some courses, such as advanced algebra, mathematical analysis and are often used to prove some mathematical induction proposition.

即使在大学中的一些课程中，如高等代数，数学分析等也常常用到数学归纳法来证明一些命题。

Fuzzy mathematical morphology is a combination of fuzzy logic and mathematical morphology.

以往的应用研究主要是用于二值图像的形状优化和特征提取。

So to heighten the theoretical level of controls, we have to apply some control methods which realize the stabilization of the inverted pendulum by dint of our strength.The paper is based on the double linear inverted pendulum model, after concisely introducing the development and current situation of inverted pendulum system research, the mechanism and mathematical model of inverted pendulum are presented,mathematical model of the double inverted pendulum is particularly educed.

近年来，许多学者已经应用各种各样的控制方法对倒立摆系统进行广泛地研究，尽管国内外对倒立摆的研究已有显著成果，但作者对倒立摆的研究才刚刚起步，需要在学习和总结已有经验的基础上，研究倒立摆的控制，以提高控制理论的水平。

Probability theory and mathematical statistics are statistics on the phenomenon of the random one of Mathematical Sciences.

概率论与数理统计是研究随机现象统计规律的一门数学科学。

The appropriate implement of mathematical symbol language will benefit the mathematical abstract thinking.

数学符号语言是数学思维的外显形式，它反映了数学思维的特征，简化了数学思维的过程，是数学思维的载体。

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。

Therefore, this mathematical model can save more time end memory capacity, it's a very useful mathematical model.

因此是一种更实用、更先进的数学模型。

Based on consider hereinbefore, this dissertation discusses several aspects on the problem of the sustainable and optimum exploitation of groundwater resources as follows:①reviewed entirely the origin and evolvement of the concept "sustainable development", stated and commented the study status in queue on"sustainable development"around national and international range, thorough discussed the science connotation about the concept "sustainable development";②looked back and commented across-the aboard some furthest basic concept and proposition related to groundwater resources, put forward self opinions on a few existent mistake points of view and chaos understandings;③expatiated entirely on the content and meaning of the theory of changeable groundwater resources system, contrast with the traditional methods of groundwater resources calculation and evaluation, combined example to show the application of this theory;④thorough analyzed the difficult and complexity to forecast the groundwater resources, fully stated the traditional methods of groundwater resources forecasting, pointed out the characteristic and applying condition of these forecasting method, introduced the main ideas and methods of wavelet analysis developed recently, and the MATLAB software be known as the fifths era computer language, and its accessory wavelet analysis toolbox, applied these methods and tools to analyze the groundwater dynamic curve, adopted the B-J method and Morte-Carlo method, combined with the theory of changeable groundwater resources system, discussed the new view on the forecast of groundwater resources;⑤synthetically analyzed the characteristics and limitations of the present all kind of groundwater manage model, combined mathematical programming, mathematical statistics, random process and the theory of variation system of groundwater resources on the unite optimum attempter of surface water and groundwater, emphasized how to make the model more nicety, more simple, more practicality;⑥analyzed the inside condition and outside condition to assure the sustainable and optimum exploitation of groundwater resources, the inside conditions are the follows: correct resources idea, scientific methods of resources calculation and evaluation, credible forecast methods of resources, exercisable measures of resources management, the outside conditions are the follows: the development idea of high layer, the transform of manage system, the matched policy and rule of law, the adjusted of economy lever, the improve of cultural diathesis, the boosting up of water-saving consciousness and detail measures, the control of population rising, the prevention and cure of water pollute, the renew and rebuild of ecology;⑦scan the sustainable and optimum exploitation of groundwater resources from the high level of metagalaxy, earth system science, and philosophy;⑧point out the more directions on groundwater resources.

它将为制定水资源的可持续发展目标和战略决策提供科学依据，为制定社会、经济可持续发展战略提供理论基础。基于以上考虑，论文主要从以下几方面对地下水资源可持续开发问题进行了比较深入的探讨：①全面回顾了"可持续发展"概念的由来与演变，对国内外"可持续发展"的研究现状进行了述评，并对"可持续发展"概念的科学内涵进行了深入探讨；②对涉及地下水资源的一些最基本的概念和命题进行了全面的回顾和评述，对目前仍然存在的一些错误观点和混乱认识提出了自己的见解；③全面阐述了地下水资源变值系统理论的内容和意义，并与传统的地下水资源计算评价方法进行了对比分析，结合实例具体说明了方法的应用；④深入分析了地下水资源预测预报工作的极端重要性和复杂性，对传统的地下水资源动态预测方法进行了全面的评述，指出了各类预测预报方法的特点及适用条件，对最近二十多年刚发展起来的小波分析技术的主要思想和方法及其应用范围，以及号称第五代计算机语言的MATLAB软件和附带的小波分析工具箱进行了介绍，并应用于地下水动态过程线的分析，采用时间序列中的B-J法，蒙特卡罗方法，与地下水资源变值系统理论相结合，探讨了地下水动态资料分析和地下水资源预测预报的新思路；⑤综合分析了现今各类地下水管理模型的特点及缺陷，将数学规划、数理统计、随机过程等与地下水变值系统理论相结合进行地表水地下水或多水源的联合优化调度，使模型更准确、更实用；⑥对保证地下水资源可持续开发的内部条件和外部条件进行了分析，内部条件主要是正确的资源观，科学的资源计算与评价方法，可靠的资源预测预报技术，可操作的资源管理措施，外部条件主要是高层发展思路、管理体制的变革、配套的政策法规、经济杠杆的调节、人文素质的提高、节水意识的增强及具体节水措施、人口增长的控制、水体污染的防治、生态的恢复和重建等；⑦从宇宙科学、地球系统科学及哲学的高度审视地下水资源的可持续开发；⑧指出了地下水资源可持续开发的进一步研究方向。

Mill was a complete empiricist about mathematics and held both that mathematical concepts are derived from experience and also that mathematical truths like 2+2=4 are really inductive generalisations from experience.

厂是一个完整的经验主义对数学都举行的数学概念，从经验中得出的经验，还从数学真理像2 +2 = 4是真正箹奚概括。

A mathematical model of interceptor missile was constituted based on moment of momentum theorem. And with a view to mathematical model and fire logic of thrusters, a neural network controller of attitude motion system was designed for interceptor missile: acquiring basal controller based on simple method, and adjusting control parameters of simple controller using neural network.

首先基于动量矩定理建立了拦截弹姿态运动的数学模型，然后针对数学模型和推力器点火逻辑的特点，设计了拦截弹姿态运动系统的神经网络控制器。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。