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1·This problem describes BCS pairing. It is very convenient to construct the mean field theory using the functional integral representation.

此问题描述BCS配对。利用泛函积分表象来建立平均场理论是十分方便的。

2·This paper discusses the integral representation of a class of self-adjoint operators. By applying such representation, it is proved that the spectrums of such operators are discrete.

本文研究一类自伴算子的积分形式，利用这种形式证明这类自伴算子的谱集是离散的，然后推出几个性质。

3·In Kirchhoff migration, this is done by using the Kirchhoff integral representation of a field at a given point as a (weighted) superposition of waves propagating from adjacent points and times.

克希霍夫偏移中，反传播的处理就是把特定点的波场克希霍夫积分表达式作为从邻近点在邻近时间传播来的波的(加权)叠加。

4·The integral representation for acoustic ray is constructed by the product of the generalized reflection-transmission coefficients corresponding to the specification of the generalized ray paths.

任意一条广义声线的积分表达式，则可根据每一条声线段的性质，由各反射界面上的广义反射、透射系数直接给出。

5·Thus the rationality of the class of boundary integral equations with indirect and direct unknowns based onthe above mentioned representation is proved rigorously.

这样就比较严密而又浅近地证明了基于该表示式建立起来的间接变量和直接变量边界积分方程的合理性。

6·Two basic methods of solution of the Fokker-Planck equation, i. e. the method of the representation of eigenfunction and that of the path integral, are discussed.

本文讨论了福克-普朗克方程的两种基本解法，即本征函数展开和路径积分方法。

7·Lower integral sum labeling and exclusive lower integral sum labeling are ways used as compressed representation of a graph.

下整和标号与排斥下整和标号是图的新的压缩表示。

8·Lower integral sum labelling and exclusive lower integral sum labelling are another ways used as compressed representation of a graph.

下整和标号与排斥下整和标号是图的新的压缩表示。

9·In a series of problem in probability calculation need for understanding the signification of integral variable and using graphical representation as an assistant tool.

在概率的一系列计算问题中，需要准确认识积分中变量的意义和利用图示作为辅助工具。

10·Using the path integral method for handling the anomaly problem under the comoving representation, we present a unified scheme for deriving the bononization of fermion fields in (1+1) dimensions.

本文利用随动表象下处理反常问题的路径积分方法，给出（1+1）维空间费米场玻色化的统一推导方案。