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Using the theories of probability, algebra and spectral theory comprehensively, we investigate some related characteristics of logic functions in cryptography: Firstly, we introduce m order generalized s - correlation immunity of Boolean vector functions and prove that the higher order generalized ε- correlation immunity can guarantee the lower order generalized ε- correlation immunity. Then by applying decomposition formula of joint distribution of Boolean random vectors, we give a spectrum criterion of m order generalized e - correlation immunity of Boolean vector functions. Furthermore, we show that the algebraic degree of m order generalized e - correlation immune Boolean vector functions is not restricted by the correlation immune orders.

本文主要运用概率论的思想和方法，并结合代数学和频谱理论的相关知识，对密码学中逻辑函数的有关性质进行了研究，主要包括以下三个方面的内容：首先，对布尔向量函数的相关免疫性进行了拓展，给出了k维布尔向量函数m阶广义ε-相关免疫的概念，证明了布尔向量函数的高阶广义ε-相关免疫性蕴含低阶广义ε-相关免疫性，并根据布尔随机向量联合分布分解式得到了布尔向量函数m阶广义ε-相关免疫的一个谱判别条件，还说明了m阶广义ε-相关免疫布尔向量函数的代数次数不受相关免疫阶数的制约。

Thus, it is worth while to study the development of the borderland theories of the West in the 21st century.

在21世纪新的历史条件下，探究西方边疆理论的演变，是十分必要的。

The capitalist class has produced different kinds of borderland theories in its carving out the spheres of influence.

资产阶级在争夺"势力范围"，以及在追逐"势力范围"的延伸的过程中，各种五花八门的"边疆理论"应运而生。

Firstly, relative research status quo home and abroad is summarized. The contents and developments relevant to this research of the two theories are introduced. Then the boundary of entrepreneur, entrepreneurial form and the development of entrepreneur are discussed.

首先，对国内外的研究现状进行了综述，详细介绍了两大基础理论中与本研究相关的内容与发展，并进一步对创业者进行了界定，阐述了创业者创业的表现形式及其成长历程。

In this paper the boundary value problem of integro-differential equation is discussed and several basic theories of it are proved.

利用上解和下解的概念讨论了积分微分方程的边值问题，给出了几个基本定理。

Chapter 2 introduces the basic theories and preliminaries of impulsive differential equation and boundary value problem.

第2章给出了脉冲微分方程及其边值问题的基本理论和相关知识。

On the basis of some elementary theories about Galton-Watson branching process, the bisexual Galton-Watson branching process and the branching process with random environment are introduced in the paper.

本文在介绍GW分支过程一些基本理论的基础上，又介绍了两性分支过程模型及随机环境分支过程模型，并以两性分支过程为前提，研究了带配对函数L=x的两性分支过程{Z_n}。

Theories and practices have proved that: Agricultural technology innovation is the key to break through the multiple restrictions which the development of agriculture faces, as well as to improve the agricultural efficiency,and to increase the farmer's income.

理论和实践证明，农业技术创新是突破农业发展面临的多重制约，实现农业增效、农民增收的关键。

Part One Brecht's Theories of Epic Theatre and Parables.

第一章、布莱希特的史诗剧理论和寓意剧理论。

The university as a breeding ground for new scientific theories.

作为新的科学理论发源地的大学。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。