The development course of mathematical conjecture is demonstrated from its definition , origination , categorical character , resolvent using a method of historical analysis , the conclusion shows that mathematical conjecture is a convenient scientific method and an important thought form . to sum up , the study and the settlement of mathematical conjecture not only richen mathematical theory , but creat a lot of new methods , furthermore , it promotes the research on mathematical methodology and advance a development of mathmatics itself 研究了数学猜想及其对数学发展的影响.采用历史分析的方法,从数学猜想的定义、来源、提出方法、类型和解决的主要方法等方面论述了数学猜想的历程和发展.数学猜想是数学研究的一种常用科学方法,又是数学发展的一种重要思维形式,研究和解决数学猜想,不但可以丰富数学理论,还会创造出许多新方法,促进数学方法论的研究和推动数学的发展
Second , we will regard fuzzy set as a frame that can generalize more kind of mathematical concept and establish definite mathematical theory which can deal with fuzzy phenomenon to extend mathematical basis . consequently , some aspects of classic mathematics will be advanced more widely and more profoundly 另一方面是把模糊集合当作一个能概括更加多样化数学概念框架,建立处理模糊现象的确切性的数学理论,以拓广数学基础,使经典数学的若干方面在更广阔更深刻的意义下向前推进。
Based on the valuable experience of the predecessors and the present situation existing in the area of 3d modeling , this paper makes a research of the technical difficulties in mining designing - - the construction of mineral deposit model and the extraction of slices in any orientation , by making comprehensive use of many mathematical theories and methods , database and graphics processing technique and puts forward the theory of 3d modeling based on discrete algorithm 鉴于此,本文借鉴系统工程的思想,结合前人研究工作中的宝贵经验,针对目前三维建模领域的现状以及存在的一些问题,综合运用多种数学理论与方法、数据库与图形图像处理技术,对矿山生产设计中的技术难点? ?矿床三维模型的建立与任意剖面图的剖切进行了研究与尝试,提出了基于离散算法的三维建模原理和模型交互剖切技术。
The non - linear partial differential ( integral ) equation often needs to be solved in the computational hydraulics , however , the mathematical theory of its numerical method has yet not been sufficient at present , for example , the development of some theories such as the strict stability analysis , error estimate and convergence proof has been unable to keep pace with the development of the numerical simulation method 计算水力学中所求解的是非线性偏微分(积分)方程组,其数值方法的现有数学理论尚不够充分,严格的稳定性分析、误差估计和收敛性证明等理论工作的发展还跟不上数值模拟方法的进展。
In chapter 4 , mathematical theory about related coefficient and fitting of straighten anti - curve line is introduced at the beginning of this chapter , then how to program to calculate related coefficient is introduced including discussing the appearance of straighten anti - curve line in bitmap , searching the ends of straighten anti - curve line , calculating the angle bitmap should be turned , calculating related coefficient after bitmap has been turned 第4章首先介绍了有关相关系数以及直线拟合的数学理论,然后阐述了求解逆直线相关系数的编程思路,其中包括对逆直线在位图中摆放方式的分类讨论、逆直线端点的搜索、求解旋转角度、旋转后求解相关系数等几个环节。
Since the development of the simplex method many people have contributed to the growth of linear programming by developing its mathematical theory , devising efficient computational methods and codes , exploring new applications , and by their use of linear programming as an aiding tool for solving more complex problems , for instance , discrete programs , nonlinear programs , combinatorial problems , stochastic programming problems , and problems of optimal control 由于单纯形的发展,很多人致力于线性规划的进步,通过发展它的数学理论、设计高效的计算方法和规则、探索新的应用,以及把线性规划的使用作为解决更复杂问题的辅助工具,比如,离散规划,非线性规划,组合问题,随机规划问题和最优控制问题。
When estimating pavement performance , the paper puts forwards to a new synthetic assessment system based on attribute mathematical theory and utilizes analytic hierarchy process ( ahp ) to ascertain the weight . it avoids the problem when using fuzzy assessment , reduces the artificial factor . which make the results more scientific and accurate , and introduces the application of this model by using an example 本文在对路面进行使用性能评价时提出采用以属性数学模型为主线,结合层次分析法确定权重的综合评价方法,避免了采用模糊数学模型评价时出现的问题,减少了确定单项指标权重时的人为因素。
Professor wei s another research area is mathematical theory of material science , with focus on the morphology of block copolymers . block copolymers are soft , synthetic materials developed to have exquisite mechanical , electrical , optical , ionic and barrier properties for industrial and commercial use 魏教授另一项研究是物料科学的数学理论,主要是大块共聚物( blockcopolymer )的形态学。大块共聚物是一种柔软的合成物质,拥有特殊的机械学、电学、光学,以及离子和屏障的性质,有广泛的工商业应用价值。
Generally , mathematical theory and deduction are used to explore the weakness of cryptographic algorithms , so that the complicated mathematical knowledge and enormous consumption are needed . at the same time , as a result of the design scientifically , there is no practical significance to conquer the cryptographic algorithm by mathematical methods 长期以来,人们一直专注于使用数学方法寻找密码算法的漏洞,这不仅需要极高的数学造诣而且会耗费巨大的资源;同时,由于密码算法的科学设计,从数学角度破译密码算法基本不具有现实意义。
According to application of non - circle gear on continuously variable transmission , the paper introduced the actuality of continuously variable transmission of non - circle gear , analyzed its the mathematical theory , and discussed design essentials and a framework map of a transmission equipment of continuously variable transmission of non - circle gear 摘要针对非圆齿轮在无级变速方面的应用,论述了国内外非圆齿轮无级变速研究的现状,分析了非圆齿轮无级变速传动的数学原理,并介绍了一种新型非圆齿轮无级变速传动装置的设计要点和机构示意图。