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For example,the set algebra for the set T defined above corresponds to a Boolean algebra of 32 elements.

例如，上面定义的集合T的集合代数就对应于一个有32个元素的布尔代数。

147 Chapter 1 The History and Future of Computers 3.2 Boolean Algebra Thus, S as above defined has its complement .

于是，如上定义的集合就有一个它的补集相对于集合T。就有一个它的补集于是，如上定义的集合S就有一个它的补集

At first, the template is defined with Boolean vector space. The relationship between a template and an LC permutation is given.

首先，用布尔向量空间表示模板，并指出模板与LC置换的对应关系。

In the fourth chapter, firstly it introduces the Boolean functions algebraic expressions of the 2-value clock-controlled stop-and-go generator and Gunther generator. It reveals the balanced property of the two kinds of Boolean functions, and studies the Walsh cycle spectrum and the autocorrelation function. It also obtains the coincidence rate of their output sequences with affine sum of some bits of input sequences, and analyzes their ability of resisting the best affine approximation cryptanalysis and differential cryptanalysis. Secondly, we properly present a new definition of the Best Affine Approximation, namely BAA on the Boolean vector functions, followed by the spectral characteristic of such defined BAA attacks through using the decomposition formula of the union distribution for random variables. A lower bound of such BAA attacks is proposed. Finally, we also study the spectral characteristic of the second kind of nonlinearity of Boolean vector functions, followed by a higher bound of such nonlinearity. Furthermore, the limited relationship between the second kind of nonlinearity of Boolean vector functions and the linear structure of the linear combination of every component is analyzed.

在第四章中，首先给出了2值密钥流"停走生成器"和"衮特生成器"中实际存在的布尔函数的代数表示，揭示了这两类布尔函数的平衡性，随后研究了它们的Walsh循环谱和自相关函数等，得到了它们的输出序列与输入序列中的某些bit的仿射项的符合率，分析了它们抵抗最佳仿射逼近攻击和差分攻击的能力；其次，我们合理地给出了布尔向量函数最佳仿射逼近的新定义，利用布尔随机变量联合分布的分解式考察了相应的谱特征，并给出了布尔向量函数与其最佳仿射逼近的符合率的一个下界；最后，我们还考察了布尔向量函数第二类非线性度的谱特征，给出了布尔向量函数第二类非线性度的一个上界，并揭示了布尔向量函数第二类非线性度与其各个分量的线性和的线性结构之间存在的制约关系。

Therefore, if a region has a simple shape of the same architectural style and function-defined border, in a unique urban environment, a clear link with the surrounding region, visually prominent. So there's no doubt in the region.

所以，一个区域如果具有简单的形状，一致的建筑式样和功能，明确的边界，并且在城市环境中独一无二，与周围区域连接清晰，在视觉上突出，那么这个区域的存在一定不容置疑。

Adiabatic surfaces are defined within the Born–Oppenheimer approximation by the energy of a given solution to the electronic Schrodinger equation at each geometry.

绝热势能面是在波恩-奥本海默近似的框架内定义的，指的是在每个几何构型下，电子薛定谔方程的本征值，即能量。

The BOS server is present in the network and accessing every object you want to backup according to a defined schedule.

该bos服务器是目前在网络和访问每个对象您要备份的，根据确定的时间表。

Besides common geometric measurements such as distances and angles,a new measurement of average curvature energy defined for boundary curve segment is included in the set to describe curve feature.

除了常见的几何测量外，提出了一种平均曲率能量的测量方法来描述边界曲线特征。

At first we establish two lemmas for C〓-functionals defined on finite dimensional spaces. These lemmas describe the behavior near infinity of a functional that is bounded from either above or below.

我们首先对有限维空间上的C〓-泛函建立两个引理，它们实际上完全描述了有上界或有下界的泛函在无穷远处的行为。

Suppose that f is a real-valued ω〓-lower semicontinuous function defined on a ω〓closed bounded subset A〓 of the dual E〓 of a locally convex space E, which is bounded below on A〓, and suppose every ω〓 closed convex subset of C〓≡ω〓-clcoA〓 is the ω〓closed convex hull of its w〓-β-exposed points.

假设X是一个局部凸空间，X〓是其对偶。A〓是X〓上的ω〓有界闭子集，f是A〓上的ω〓-下半连续实值函数且在A〓上下有界。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。