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Secondly, we discuss the boundary value problem of two dimensional biharmonic equation in a rectangular field and its variational problem,discretize it by using dual tensor product of and the direct product and lining up of matrices, we get some special matrices which are the presupposition in exploring the fast computation, then solve the system of linear equations.

其次本文讨论了矩形域上二维双调和方程边值问题及其相应的变分问题，利用二元张量积小波分析和矩阵的直积、拉直技巧将变分问题离散化，从而使求解偏微分方程问题变为求解线性方程组的问题。一维情况两组基的张量积下得到的系数矩阵分别为块状七对角阵和稀疏矩阵。这些特殊结构为以后快速算法的研究打下一个基础。

The author treats the Dirichlet and Neumann problems for elliptic equations and the related Schauder regularity theory, and examines how those results apply to the boundary regularity of biholomorphic mappings. He studies the ?

作者为省略的方程式和有关的Schauder 规律性理论治疗Dirichlet 和诺伊曼问题，并且检查那些结果怎样适用于biholomorphic 绘图的边界规律性。

Accordingly, on the hypothetical condition that the material coefficients are the linear functions of tem perature and according to the theory of functional analysis, the authors use the method of combing the inner product form with convolution bilinear form, which leads to the functional of the quasistatic coupled thermo—viscoelasticity including the boundary and initial c...

因此，著者在物性系数是温度的线性函数的假设条件下，根据泛函分析理论，采用内积式与卷积双线性式相结合的方法，导出了包含所有边界条件，初始条件及热传导方程的拟静态耦合热粘弹性问题的泛函，并证明了与之相应的变分原理。

In this paper, based on variational principle and bilinear coordinate transformation, a spline Kantorovich method using cubic B-spline function is presented to obtain an approximate solution for the free vibration problem of arbitrary quadrilateral plates with various boundary conditions.

本文从变分原理和双线性坐标变换出发，采用基于三次B样条的康托洛维奇法得到了带有各种边界条件任意四边形板自由振动的近似解答。

A class of nonlinear two species competition singularly perturbed initial-boundary-value problems in a reaction-diffusion system in biomathematics was studies using the modern method of differential equation.

利用微分方程的近代方法研究了生物数学中一类非线性两种群竞争模型的反应扩散系统奇摄动问题。

The biostratigraphy of Cretaceous/Tertiary boundary sections from eight localities is summarized and compared in order to define a continuous or complete section.

本文总结了八个地区白垩纪—第三纪界线的生物地层资料，试图确定一个完整的连续剖面。

This paper probed into the sea-level changes from the latest Ordovician to the earliest Silurian and thesubdivision of the Ordovician-Silurian boundary based on the study of biostratigraphy, chemical stratigraphyand sequence stratigraphy.

本文通过生物地层、化学地层和层序地层的研究，对晚奥陶世晚期至志留纪初期的海平面变化以及奥陶／志留系界线的划分进行了探讨。

This paper deals with the advance in the study of terrestrial Permian-Triassic boundary. At first, some index TPTB sections and their research backgrounds are introduced. Then, the research status on the synthesis of the TPTB, including biostratigraphy, eventostratigraphy, isotopic dating, magnetostratigraphy and sequence stratigraphy etc., is analyzed. Finally, the existing problems and the next research directions about the TPTB study are assessed.

着重介绍了几个目前陆相二叠系－三叠系界线研究的重点剖面及其生物地层学研究进展；分析了陆相二叠系－三叠系界线综合地层学研究现状，包括生物地层学、事件地层学、同位素年代学、磁性地层学和层序地层学等；剖析了陆相二叠系－三叠系界线地层学研究中存在的问题及进一步的研究方向。

Based on the study of biostratigraphy and anoxic eventstratigraphy, we propose that the Qingshankou Formation may correspond to the oceanic anoxic event at the CenomanianTuronian boundary in the Cretaceous, and the age of the Qingshankou Formation in the Songliao Basin is the Late Cenomanian to the Early Turonian.

结合生物地层研究成果，认为青山口阶下部曾发生过古湖泊缺氧事件，其层位大体可与白垩纪古海洋CenomanianTuronian界线事件层进行对比，由此提出了松辽盆地青山口阶下部的时代归属于晚白垩世Cenomanian晚期-Turonian早期的新观点。

Based on the harmonic algorithm, the conductivity reconstruction method and the corresponding algorithm in oblique slice were proposed. Then the numerical simulation was performed by solving the Neumann boundary problem, Ohm's law and Biot-Savart law to obtain the magnetic flux density used to reconstruct the conductivity.

然后通过数值仿真来实现提出的算法，首先进行了正问题求解，即利用Neumann边界值问题、欧姆定律和毕奥－萨伐尔定律逐步计算出重建电导率分布的磁通密度的一个分量，接着进行了逆问题求解，即根据重建算法得到了横截面和斜位面内的相对电导率分布，并对仿真的结果进行了分析和讨论。

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。