布尔函数

The first is on the study of spectra technique in boolean function and in its probability function.

得到布尔差分等布尔运算在此映射下的实函数运算，并用有限离散变换实现了从原函数到象函数、到象函数偏差分，以及到布尔差分的象函数的变换，并研究了这一系列变换的性质。

Function returns a Boolean value, so the Case Structure remains in its default Boolean form.

函数返回一个布尔量，那么分支结构将保留它默认的布尔量形式。

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。

Chapter six is one focus of this paper, mainly studies the constructions of Boolean functions.

第六章也是本文的一个中心，重点研究了布尔函数的构造。

In this paper, quasi monotone decomposition of Boolean functions on B 2 is discussed systematically.

系统地讨论了 B2 上布尔函数的拟单调分解。

On the basis of clastic theory, a basic differential equation characterizing the movement of ground surface and rock strata is derived and a sieve method for influence functions brought forward.

本文根据碎块体理论导出了表征岩层和地表移动的基本微分方程式，提出了影响函数的筛选法，确定了威布尔分布密度函数是最佳的影响函数形式。

BOSC method is independent of Boolean function's common structural representation, and has the worst time complexity propotional to cube of the number of input variables, so it is suitable for combinational macro-cell matching.

BOSC方法不依赖于布尔函数通常的结构表示，最坏时间复杂性与输入变量数的立方成正比，适用于结构匹配方法失败的组合逻辑宏单元匹配。

Finding the the essential prime implicants, This part determine the essential prime implicant that will form the boolean function we need.

寻找蕴涵的基本素，这部分确定的基本素蕴涵，这将成为我们需要的布尔函数。

In the design and the analysis of block ciphers, multi-output functions play an important role.

在分组密码的实际设计中，多输出布尔函数常常扮演重要角色。

Base -on optimal stack filtering theory, the multi-stage adaptive WOS filter is pro posed by expressing the PBF of WOS filter in term of linear separate function.

根据层叠滤波器理论，所有WOS滤波器正布尔函数都是线性可分离的。

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。