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By using symmetry and boundary conditions the field and input impedance of finite wide-angle biconical antenna can be derived by modal analysis, which generally results in solving infinite linear equations.

模式匹配法利用有限长双锥天线的轴对称性求解天线电磁场边值问题，通常导致求解无限多个线性方程而得不到严格解。

This paper gives an accurate inversion of matrix of coefficient which is derived fromsolving the boundary-value problem of biharmonic equation in rectangular region by meansof difference method.

将一个n阶电导矩阵实现为具有n+1节点的网络是一很重要的问题，并且引起了广泛的研究，本文扼要地介绍了有关电导矩阵的性质和一些己有的实现方法。

ABSTRACT For an infinite soft ferromagnetic elastic crack material, the controlling equation for the plane problem is derived based on the linear theory of Pao and Yeh. Then it is reduced to a biharmonic equation combined with a harmonic equation.

对处于面内磁场中的含穿透裂纹无限大软铁磁弹性体，本文基于Pao和Yeh的磁弹性耦合线性化理论，通过推导，把问题的控制方程表示成一个重调和方程和一个调和方程，而得到问题的复势解。

Ringel realized positive parts of semisimple Lie algebras in the framework of Ringel-Hall algebras. The main result of this thesis is to build a geometric and topological model over triangulated categories such as derived categories and stable module categories of repetitive algebras. We defines a Lie bracket by Euler characteristics of constructible subsets and thus realizes infinite dimensional Lie algebras of various types with non-degenerated bilinear form.

本文的主要结果是在导出范畴和重复代数的稳定模范畴等三角范畴水平上建立相应的几何-拓扑模型，并利用相应可构集的欧拉示性数定义了一个Hall代数的交换子乘法，从而在三角范畴水平上实现了一大类无限维李代数的整体构造，并且这类李代数本质上都具有非退化的不变双线性型。

To solve function optimization problem,pheromone update strategy is derived based on ant colony algorithm by inducing binary coding of genetic algorithm.

为了求解一般的函数优化，在标准蚁群算法的基础上，引入了遗传算法的编码方式，对蚁群算法的信息素更新进行改进。

Extending the model to binary compound, an equation of state for double-component phospholipid monolayers was derived.

将上述状态方程推广到二元混合物，导出了双组分磷脂单分子膜的状态方程模型。

It is proved that the upper approximation of such fuzzy rough set in a fuzzy approximation space is just its image derived according to generalized extension principle and binary fuzzy similar relation.

通过对偶方式定义了模糊集的上、下近似算子，给出了模糊粗糙集在相应的模糊关系及模糊集的截集下的表示定理，证明了这种模糊粗糙集关于模糊近似空间的上近似恰为其在二元模糊相似关系下导出的广义扩张原理之下的像。

This thesis is about the establishment of semantic Web based on the binary relation ,advances the formal definition of the semanteme in the semantic Web,based on it,advances the way semanteme is described and derived and discusses the semantic completeness.

基于二元关系讨论了语义Web的建立过程，具体给出语义Web中相关语义的形式化定义，并基于此给出了语义描述和挖掘方法，进行了集合相关语义的完备性的证明。

After achieving the solution of the mathematical model,a binomial productivity equation of gas-water well with two-phase flow in formation was derived in consideration of the influence of formation damage and non-Darcy effect,thus establishing the theory of transient inflow performance relationship curve of gas-water well.

文章基于质量守恒原理，建立了气水两相地层瞬态渗流的数学模型，通过定义气水两相拟压力函数，将渗流数学模型线性化，在获得数学模型解后，考虑地层损害和非达西效应的影响，推导出在地层中为水气两相渗流的气水同产井的二项式产能方程，从而建立了气水同产井瞬态流入动态关系曲线的理论。

Horizontal gas well model considering well-bore structure parameters, turbulent flow under high-speed non-Darcy flow and start-up pressure gradient was established and solved. Binomial deliverability equation describing horizontal gas well was derived.

建立和求解了包含水平气井井身结构参数、近井区高速非达西渗流条件下气体紊流因素以及启动压力梯度效应的水平气井渗流模型，推导出了描述水平气井产能的二项式产能方程。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。