- 更多网络例句与构造性数学相关的网络例句 [注：此内容来源于网络，仅供参考]
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By means of integralequation methods creatively along with other modern mathematical theories,this paperfocuses on finding solvability conditions and conditional well-posedness(especiallyconditional stability),constructing stabilized algorithms,and carrying throughnumerical simulation.
本文创造性地应用积分方程方法，借助现代数学手段，着重研究这些问题的可解性条件、条件适定性，构造稳定化算法，并进行数值模拟。
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In this paper, we are discussing the concept of intuitionism, and their logic ,and their constructive mathematics.
本文主要讨论直觉主义派的数学观、无穷观、逻辑规则和构造性数学，同时还概述了人们对直觉主义派的一般评论。
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Combinatorics and discrete mathematics are the most important mathematics foundation in science and technology of computer.
以离散数学和组合数学为代表的可构造性数学是计算机科学与技术学科的最重要的数学基础。
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They are :(1) The generalization of mathematical methods;(2) The mathematical method of formulization;(3) The proof of construction;(4) The introduction of algebraic symbols.
在宋元数学中，出现一些新的思想、方法和理论，主要有：(1)数学方法的一般化；(2)程序化的数学方法；(3)构造性的证明；(4)代数符号的引入。
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For this purpose,by using the geometry mean method that the product of corresponding factors from the different judgement matrix,for the different judgement matrix built by each expert in the group decision-making,the mean judgement matrix,or the judgement matrix of group decision-making,...
并利用严密的数学方法证明了"所构造的矩阵能保持一致性和满意性"的重要结论。该方法运算简单，不仅为AHP群决策判断矩阵的建立提供了一种有效的方法，而且为群决策的研究提供了一定的理论依据。
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Based on the method of multi-objective fuzzy optimization and the overhead traveling crane design, a mathematical model of fuzzy optimization for main box beam section is established. A fuzzy goal anthology is constructed. The fuzziness of multi-objective function and constraints is defined. The transformation of the fuzzy constraints set to normal constraints set in real number domain is realized by applying optimal level cut set method. The optimal solution and optimal constraint value of sub-objective function in the feasible field are found using the genetic algorithms.
应用多目标模糊优化方法，以工程设计中桥式起重机箱形主梁设计为实例，建立了桥式起重机箱形主梁多目标模糊优化设计的数学模型，构造了模糊目标集，确定了多目标函数的模糊性和约束的模糊性，并应用最优水平截集法实现了模糊约束到实数论域上的集合转换，从而用遗传算法寻求到子目标函数在可行域空间的最优解和约束最优值。
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This paper first analyses and summarizes the ststus quo and evolution trend of encryption, some common used cryptograph are introduced, including the algorithms used in symmetric cryptosystem and asymmetirc cryptosystem. We describe the theory of each algorithms and compare the elliptic curve cryptosystem with the other two asymmetric cryptosystems to show the advantages of this algorithm. Second, the principle of ECC is discussed, including the math foundation of ECC, basic conception of elliptic curves, constructiong idea of ECC, operation on the elliptic curve and so on. Third, the current attacks of ECC were analyzed deeply, and an algorithm based on limited prime number field was constructed. We analyzed its realizability in theory, and implement it by using certain function of MIRACL software package. Latter half in this paper, the implementation model of a simple elliptic curve encryption system which based on GF has been introduced. The paper also put a deep analysis on the algorithm of point addition and point multiplication.
本文首先对密码技术的发展现状及其发展趋势进行了分析和综述，详细的介绍了私钥密码系统和公钥密码系统的发展，说明各种算法的原理和优缺点，并给出了一些典型的密码体制的简要分析，重点将椭圆曲线算法与其它几种公钥密码算法比较，说明椭圆曲线算法的优势；其次，探讨了椭圆曲线密码体制的原理，包括椭圆曲线密码的数学基础、基本概念、椭圆曲线密码体制的构造思想等问题；第三作者对椭圆曲线的攻击现状作了详细的分析，针对所使用的大素数域F_p，设计了素数域上安全椭圆曲线产生的算法，从理论上做了可实施性分析，从软件上做了具体实现；在本文的后半部分，提出了一个简单的基于有限素数域上的椭圆曲线加密方按算实现模型，并对SECES中设计的点加和点乘运算进行了深入分析。
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Testing in terrain relief, and the algorithms can optimize the structure of TIN nicely.(2) According to the smoothness of the terrain and correlation between adjacency data points, the paper studied the possibility of smooth surface constructing of DEM based on TIN. Then based on Tayor fomula, vertical normal vector, triangular decomposition, continuous and smooth of surface and so on, a new kind of interpolate model of DEM was proposed based on TIN.
2分析原始地形起伏变化的连续光滑性以及邻近数据点之间的相关性，探讨了基于TIN的DEM光滑曲面构造的可行性，并基于二元泰勒公式、三角面剖分、曲面的连续光滑性等，提出了一种TIN上的DEM表面光滑插值模型，并通过构造数学曲面进行精度评估，并对模型进行了可视化分析。
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The existence of the solution is also demonstrated according to the sufficient conditions for the solution of the elliptic variational inequality.
首先证明了所构造泛函的强制性，从而证明了所构造的等价变分不等式解的惟一性，并根据椭圆型变分不等式解存在的充分条件论证了弹塑性接触问题解的存在性，为该问题的变分极值原理的建立莫定了数学理论基础。
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This dissertation compares and reflects on classical mathematics between Chinese and Western, points that classical mathematics in Chinese differs from Western, former is a constructing and mechanizing system, and latter is logical and deduct system.
本文通过揭示中国古典数学思想及以古希腊为代表的西方古典数学思想特征的基础上，寻求二者之差异及引起差异的根源、表现及特征，指出中国古典数学的构造性、机械化的算法体系，完全有别于以古希腊为代表的西方数学的逻辑风格和演绎体系。
- 更多网络解释与构造性数学相关的网络解释 [注：此内容来源于网络，仅供参考]
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configuration space：位形空间
流形在数学中用于描述几何形体,它们提供了研究可微性的最自然的舞台. 物理上,经典力学的相空间和构造广义相对论的时空模型的四维伪黎曼流形都是流形的实例. 他们也用于位形空间(configuration space). 环面(torus)就是双摆的位形空间.
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constructive mathematics：构造性数学
直觉主义 intuitionism | 构造性数学 constructive mathematics | 语言 language
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Koch curve：科赫曲线
比如分形的典型例子,科赫曲线(Koch Curve)便是以初等数学方法构造的一类处处不可导的连续曲线. 有必要明确,分形的不规则性并非无序,而是存在层次结构(hierarchical organization)按一系列尺度(scales)在几何形态上自身重复,