积分论

And the keytechniques are in the following:(1) The algorithm and program of intensified node arrangement near crack tip andalong crack line (2) The shape function calculation of point near crack based on visibility criteria (3) The contour integral method for calculation of stress intensify factor K_ⅠK_Ⅱ(4) The rock slope appraisal method using circular method, polygonal method orgraph theory method depending on the slope joints combination

程序实现的关键技术和算法如下：(1)沿裂隙结点布置及裂尖结点加密的算法及程序(2)采用可视准则的形函数算计算程序(3)围线积分计算复合型裂纹裂尖强度因子K_Ⅰ、K_Ⅱ的算法及程序(4)圆弧搜索法、折线搜索法和无网格—图论搜索法的算法及程序

In the thesis, the author firstly clears up some basic theories of wavelet analysis, revises some formulae and proves and deduces some theorems and formulae in detail and gives a counter example and paradox.

本文首先对小波分析的理论部分进行整理，对部分公式进行修正，同时给出了部分定理和公式详细的推导和证明，并且给出无穷区间积分的一个反例和悖论。

In previous paper1-3, from the results of the electronic computer simulation experiments and the analysis of the corresponding optical properties, we presented a stabilization condition for numerically solving a Fredholm Integral equation of the first kindσ2σ1kBdσ=I in Fabry-Perot interferencespectroscopy.

在以前的论文中，我们从计算机模拟实验及相关的光学现象出发提出了Fabry—Perot干涉光谱技术中的积分方程数值求解的稳定条件。

The contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下："此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。"

Our primary goal is to introduce a previously undescribed type of dependence measures under integral probability metric that are quite different from strong mixing conditions.

我们的主要目标是在积分概率距离意义下引入与强混合条件大不相(来源：A24BC6c论36文网www.abclunwen.com)同的而且前面也没有描述过的相依度量。

The use of path integralover the quark fields leads to an effective field theory of mesons.

通过对夸克场的路径积分，可以导出一个低能的等效介子场论。

Both statistical-mechanical and thermodynamical entropies of the nonextreme sta-tionary axisymmetric black holes in four-dimensional spacetime are investigated by"Brickwall"model,Euclidean path integral method and conformal field theory at Killing horizon,respectively.

本文分别用砖墙模型、Euclidean路径积分和Killing视界上的共形场论方法研究了四维非极端稳态轴对称黑洞的热力学熵和统计力学熵。

Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to perturbative quantum field theory, using the language of functional integrals.

几何和量子场论课程是用泛函积分的语言对微扰量子场论的严谨的介绍，主要针对数学家设计。

In this paper, a tunable bandpass Σ modulator by one parameter only is adopted to optimize modulator performance.

在本论文中，可调式带通三角积分调变器使用一个变数来改变中心频率来使调变器的效能更加完美。

The contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下：&此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。&

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。