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In mathematical simulation theory, stress-strain relation of powder-compactdeformation , equivalent strain velocity equation , and unitary matrix equation ,are deduced.Therefore, feasibility of Multi-Core-Line-Die Powder Extrusion Forming is validated by Research on Mathematical Simulation Theory and Powder Extrusion Forming Technology of Multi-Core-Line-Die, which is a better forming method of metallic carrier.

在数值模拟理论中，推导了粉末体变形的应力-应变关系等效应变速率方程和求解的整体矩阵方程因此，"多芯线粉末挤压成形工艺及其数值模拟理论研究"验证了多芯线粉末挤压成形在工艺上的可行性，是金属载体成形的较好方法。

In chapter 3, we found a class of universal CA operators for Mathematical Morphology and implemented Mathematical Morphology in CNN-UBN by use of the theory in chapter 2, which make lots of morphological image processing problems be solved with CNN-UBN.

同时，我们在第二章找到了用二维CA实现数学形态学的通用算子，在CNN上实现了数学形态学，使基于形态学的图像处理问题可以用CNN来很好的解决。

By using mathematical method, the model is established, and through analyzing the mathematical model, the variable gain and settling time of the AGC circuit are calculated.

采用数学方法建立数学模型，并通过分析数学模型计算出AGC回路的可变增益和稳定时间，设计了相应的电路并分析了AGC回路对流量测量计算过程的影响。

Doyne Farmer, former mathematical physicist, and colleagues from his earlier mathematical adventures, set up in a small, four-room house which serves as an office in adobe -- baked Santa Fe -- as far from Wall Street as one can get in America -- are currently some of Wall Street's hottest rocket scientists.

至于多恩·法默这位前数学物理学家（还有他那些原来跟他一起进行数学冒险的同事们），虽然他们的办公室离华尔街远得不能再远（至少在美国再找不到更远的了：他们是在Santa Fe的一个只有四间房的小砖楼里），现在却是华尔街最炙手可热的火箭科学家。

Doyne Farmer , former mathematical physicist, and colleagues from his earlier mathematical adventures, set up in a small, four-room house which serves as an office in adobe -- baked Santa Fe -- as far from Wall Street as one can get in America -- are currently some of Wall Street's hottest rocket scientists.

多恩·法默这位前数学物理学家，还有那些原来跟他一起进行数学冒险的同事们，把圣塔若菲四间砖房作为办公室——在美国境内，那里离华尔街远得不能再远——现在是华尔街最炙手可热的火箭科学家。

Improvement of boundary treatment in mathematical model of flood diversion area ;2. Based on this,a plane 2-D water mathematical model for the flood diversion area is set up.

在此基础上，建立了平面二维水流数学模型，并将该模型运用到湖北龙骨湖、沉底湖分蓄洪区实际计算中，取得了令人满意的结果。

Cardano did not use the mathematical signals in Ars Magna, and the mathematical tradition then was synthetic instead of analytic, therefore, most rules in Ars Magna were arithmetical but not algebraical.

由于卡尔达诺没有使用数学符号，并且当时的数学传统是综合而不是分析，所以《大术》中的绝大多数法则都是算术法则，而不是代数推理过程。

To apply the system, the paper tries to unscramble the analogically mathematical connotations of the body according to the mathematical meanings of Yinyang and Wuxing, and briefly reasons why the Chinese philosophy does not believe the God.

作为应用，尝试依据阴阳五行数理解读身体的类比性数学内涵，并简要论证中国哲学不相信上帝的原因。

In this paper we describe hierarchy stages about how a teacher (1) manages child methods (2)cuts in as a guide and animater (3)practices"cognitive conflict". We also use questionaire to collect children's opinions about mathematical classroom learning activities. These phenonmenens and evidences well represent the transformation of mathematical teaching and learning patterns.

本文藉由提出教师处理儿童的「自然想法」，扮演引导者、促动者的「适时介入」，对儿童「认知冲突」的处理等行为模式，及问卷调查中儿童对数学教学活动的一些描述；以呈现数学教室活动型态的转变的现象及证据。

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。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。