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Was systematicly introduced to the field of image processing, and formed a relatively integrated theory system combined with other mathematic tools such as mathematic morphology and affine geometry. The level set methods proposed by S.

但直到九十年代才比较系统地将偏微分方程引入图像处理领域,结合其他一些数学工具如数学形态学和仿射几何等,形成了比较完整的理论体系。

In the light of the complex, high-level and non-linear feature of the mathematical model which describe the transport of the coalbed methane, this paper study the fully-implicit solving method of the mathematical model in detail. Based on the complexity of the algebraic equations which are formed eventually, according to the alternating direction implicit difference pattern, this paper use the iterative method and the fully main element Gauss-Jordan eliminating method to solve equations, which is to use the iterative method to determine coefficient matrix and use the fully main element Gauss-Jordan method to solve th linear algebraic equation group, at the same time of studying the solving method of the mathematical model, according to the devising requirement of FORTRAN77 program structure, this paper draw up computer program and form the corresponding computer model, and verify the validity and reliability of the model in theory by operating the model.

重点研究了模型内、外边界及有关参数的处理,针对描述煤层甲烷运移的数学模型是一个复杂、高阶非线性数学模型的特点,详细研究了模型的全隐式求解方法,根据最后形成的代数方程组的复杂性,按交替方向隐式差分格式,采用迭代与全选主元高斯约当消去法相结合的方法求解方程:即确定系数矩阵采用迭代法,求解线性方程组时采用全选主元高斯约当消去法,在研究模型解法的同时按FORTRAN结构化程序设计的要求,编制计算机程序,形成相应的CBMRS计算机模型,并通过模型的运行从理论上证明了模型的正确性与可靠性。

LIU Hui's Cyclotomic Method is one of the greatest achievements of the history of mathematics in China, even in the world, in which the special approach to understand the infinity and the method to solve it are presented.

刘徽的"割圆术"是中国数学史上的重要成就之一,其中包含着中国数学家对无限问题的独特认识和致用的处理方式。很多高等数学教科书在讲述极限概念时大都提及,但所述,并未体现刘徽本意。

"Intuitionists rejected certain concepts of logic and the notion that the axiomatic method would suffice to explain all of mathematics, instead seeing mathematics as an intellectual activity dealing with mental constructions independent of language and any external reality."

直觉主义否认某些逻辑概念,公理方法的注释已经足够解释数学的全部,而不把数学看作是处理与语言和任何外部现实无关的思想构造的一种智力活动。

"Intuitionists reject ed certain concepts of logic and the notion that the axiomatic method would suffice to explain all of mathematics, instead seeing mathematics as an intellectual activity dealing with mental constructions independent of language and any external reality."

直觉主义否认某些逻辑概念,公理方法的注释已经足够解释数学的全部,而不把数学看作是处理与语言和任何外部现实无关的思想构造的一种智力活动。

As functions of the function of mathematics, the Key theorem of calculus of variations is Euler LaGrange, it can be used to the pan-seeking function of the maximum and minimum of mathematical.

变分法是处理函数的函数的数学领域,关键定理是欧拉-拉格朗日方程,用来求的泛函数的极大值和极小值的数学方法。

In this research, the plane 2D mathematical model under Cartesian coordinate system and the

首先建立了直角坐标系正交网格下的平面二维数学模型及复杂边界适体坐标条件下的三维紊流数学模型,对方程的离散差分格式、控制方程的求解、初始边界条件、动边界处理等问题进行了分析研究,并编制相应的计算程序。

Based on detailed mathematical model of the heat and mass transfer processes in packed-type counterflow liquid desiccant systems, a set of linear ordinary differential equations describing the transfer processes is obtained by some appropriate simplications.

在建立逆流填料式液体除湿系统传热传质过程的数学模型基础上,通过合理的简化处理,导出了描述这一热质传递过程的常微分方程组,得到了相应的解析解;并与精确数学模型的数值解进行了对比,二者具有良好的吻合性;利用解析解分析了各参数对除湿性能的影响;所得解析解具有较好的理论及应用价

The mathematical thought reflected in these researches were, actually, different from modern Game theory, but, still, it showed the possibility of dealing with Game problems with mathematic tools, and meanwhile, the thought of differential game theory in the early time was included in these researches, which in a way inspired the establishment of Game theory.

在这些研究中所包含的数学思想与现代博弈理论的思想基本上是不一样的,但电反应出了用数学工具处理博弈问题的可能性,同时也包含了早期微分博弈的思想,对以后的微分博弈理论的创立有一定的启发作用。

This paper discusses this topic under consideration of the group structure of finite difference scheme in traditional fluid dynamics.

这种趋势的背景源于流体力学问题本身的强非线性,一般经典的数学手段难于处理,需要引入能对付大范围强非线性问题的数学手段。

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