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We will see how data can be characterized as observed values of random variables and study three important probability distributions: the uniform distribution, the binomial distribution, and Normal distribution.

我们会看到资料如何表现随机变数观测值的特征,并且研读三种重要的概率分布:均匀概率分布,二项分布与正态分布。

Discrete and continuous random variables, theoretical distribution, expected value, binomial distribution and normal distribution, standardizing and normality.

间断性变数总体的理论分布重点掌握二项分布和泊松分布,连续性变数总体的理论分布重点掌握正态分布以及正态分布的标准化。

When the Biot-Savart Law is used to compute the magnetic field of a linear current, the different, choice of the integral variables will give rise to two different expressions.

用毕奥-萨伐尔定律计算一段直线电流的磁场时,因为积分变量的选取不同,产生了两种不同的表达式,在对积分变量的取值范围作了分析与比较后,更新了有关教材中的表述方式。

An improved Boolean matching algorithm based on transforming the mapping between Boolean variables into the problem of perfect matching of bipartite graph is presented.

引 言布尔匹配的概念最初是由Mailhot和 de Micheli提出的[1] ,它主要用于集成电路设计中的工艺映射阶段。

Like ordinary algebra, Boolean algebra has its own unique identities based on the bivalent states of Boolean variables.

象普通代数,布尔代数具有基于布尔变量的二价规定的独特的特性。

Instead, you grasped a few basic concepts like loops, variables and Boolean logic, and then learned how to apply them to each new situation as needed.

相反,你掌握了这样的循环,变量和布尔逻辑的一些基本概念,然后学会了如何将它们应用到每个需要的新形势。

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。

A CRect contains member variables that define the top-left and bottom-right points of a rectangle.

CRect包含了成员变量,该成员变量定义了一个矩形的左上和右下两点。

The proposed method has the merit that the numerical characteristics of stochastic temperature field response can be obtained by analyzing the random temperature field just in one time.3. Perturbed numerical algorithm of nonprobabilistic convex set theoretical models on the temperature fieldThe uncertain parameters of physical parameters and initial boundary conditions of heat conduction are described by the convex model. The perturbation formulas of the upper and lower bounds of temperature field response with unknown-but-bounded parameters are given via the combination of matrix perturbation theory and the convex set theory model.4. Numerical analysis for transient temperature field with interval parametersConsidering the uncertainties of the transient heat transfer, the physical parameters and initial boundary conditions are regarded as interval variables.

该方法具有只进行一次随机温度场分析便可以获得其响应的数字特征的优点。3、温度场的非概率凸集合理论模型的摄动数值解法将结构导热的物理参数、温度场的初始和边界条件等不确定性参数以凸模型加以描述,基于矩阵摄动理论和处理不确定问题的凸集合理论模型的结合,导出有界不确定参数瞬态温度场响应所在集合的上、下界摄动计算公式。4、具有区间参数的瞬态温度场数值分析考虑结构瞬态热传导问题的不确定性,将结构各物理参数和温度的初、边值条件均视为区间变量。

This paper aims to study the algorithm for linear programming with bounded variables and a new algorithm is obtained.

本文对有界变量线性规划的算法进行了研究,得到了一种解此问题的新算法。

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