函数相关

The definition of the absolute value for a fuzzy number is obtained.Furthermore,a lot ofproblems,such as absolute integrability,bounded variation and absolute continuity,arepresented and discussed.The representation theorem of the absolute values of fuzzy num-bers is established.It plays an important role in discussing the problems conceming theabsolute value.The relation between the absolute integrability and integrabili-ty is discussed,and the following result is obtained:aintegrable fuzzy-number-valued function is absolutely integrable iff it is integrable.The relation between theabsolute integrability and the absolute continuity of the primitive for fuzzy-number-valuedfunctions is dealt with.It is also pointed out that a fuzzy number valued function is ab-solutelyintegrable if and only if its integral primitive is fuzzy absolutely continuous.

提出了模糊数绝对值的概念并讨论了与绝对值相关的一系列问题，如绝对可积性、有界变差性、绝对连续性等，给出了模糊数绝对值的定义以及表示定理，该表示定理在涉及绝对值问题的讨论中起非常重要的作用；讨论了绝对可积与可积之间的关系，得到了结论：可积的模糊数值函数绝对可积的充要条件是该模糊数值函数可积；给出了模糊数值函数绝对可积与其积分原函数绝对连续性之间的关系，指出模糊数值函数绝对可积的充要条件是其原函数模糊绝对连续。

The polarization angular correlation function is calculated by using azimuthal angular averaging.

在L、C及X波段下，首次用极化角相关函数对分形树森林环境中隐蔽目标进行了检测，说明极化角相关函数方法能够抑制杂波，突出隐蔽目标的散射特性，用于杂波环境中隐藏目标的检测。

Models for the electromagnetic interaction between the target and trunks or between the trunks and trunks are developed, and these models are used to derive the coherent fields scattered by the target and fractal forest. Then, the polarization angular correlation function is calculated by using azimuthal angular averaging, and used to detection target buried in forest.

本文用L系统对森林环境进行了理论建模；研究了有限长分层介质圆柱的树干散射模型；分析了倾斜粗糙地面上树干及分形树的电磁散射特性；讨论了环境对确定目标电磁散射特性的影响；研究了环境与隐蔽目标复合电磁散射，用角相关函数、极化角相关函数对隐蔽目标进行了检测。

Events,Operation and Relation of Sets, Classical Probability, Geometrical Probability , Statistical Stability of a Frequency, Axioms of Probability, Conditional Probability, Total Probability Theorem, Bayes' Rule,Independent Events,Independent Repeated Trials, One Dimensional Random Variables, Discrete Random Variables, Distribution Function of a Random Variables , Continuous Random Variables, Normal Distribution, Distribution of a Function of a Random Variable, Multidimensional Random Variables, Joint Distribution Function, Marginal Distribution Function,Discrete Two—Dimensional Random Variables,Continuous Two—Dimensional Random Variables, Independent Random Variables, Distribution of Functions of Random Variables,Expectation,Variance, Covariance, Coefficient of Correlation, Bivariate Normal Distribution, Law of Large Numbers, The Central Limit Theorems, Sample and Population ,Chi—Squared, T and F Distributions , Sampling Distributions , Point Estimation , Interval Estimation , Testing Hypotheses , A Test of Significance for Parameters in a Single Sample From a Normally Distributed Population , A Test of Significance for Parameters in Two Sample From Normally Distributed Populations .

本课程的主要内容：概率的概念与运算、随机变量及其分布、随机变量的数字特征与极限定理、数理统计的基本概念、估计和检验的基本方法，随机事件与概率随机事件、事件的关系与运算、几何概率、统计概率等，条件概率、全概率公式、贝叶斯公式、事件的独立性、二项概率公式，随机变量的概念、离散型随机变量、随机变量的分布函数、连续型随机变量、随机变量函数的分布，多维随机变量及其分布函数、边缘分布函数、随机变量的独立性、二维随机变量函数的分布，数学期望、方差、协方差和相关系数、大数定律、中心极限定理，总体与样本， X 2-分布、 t-分布和 F-分布，统计量及抽样分布，假设检验的基本概念、单个正态总体参数的显著性检验、两个正态总体参数的显著性检验。

After a power spectrum is constructed, empirical wavelet coefficients are used to detect the jump points in the function to obtain the strong consistent estimator of the position and number of the frequencies. Numerical simulations show this method is reliable.

根据它们的协方差函数可以表示为一个Fourier级数，而其Fourier系数可通过协方差函数的逆变换得到的特性，我们对于零均值的近周期相关序列构造了类似于周期图的函数，并构造其经验小波系数，利用频率处于此函数的尖点的特性，以及此性质在经验小波系数中的反映，来确定频率的个数和位置，所有的估计量都是强相合的，此外，数值模拟的结果表明，我们的方法是有效的。

In the first session the fans vibration on-line monitoring system is realized with VC language, also compile auto power spectrum density function, cross power spectrum density function, autocorrelation function and cross correlation function etc spectral analysis function to carry through simple offline fault diagnosis.

首先用稳定性强、扩展性好的VC++语言开发了通风机振动在线监测系统，并编写了自功率谱密度函数、互功率谱密度函数、自相关函数和互相关函数等频谱分析函数来进行简单的离线故障诊断。

On the basis of analyzing detailedly the correlative conclusions of the extreme value problem of two variable Function , this paper extends the essential condition and sufficient condition to multi-variable function by using the Taylor Formula 、Quadratic Form 、Hesse Matrix and so on,and gives a method to judge the extreme value of point whose vice-derivative doesn't exist by utilizing Lagranges theorem ,so that compensates for the blank above ,which turns idea that solve the extreme value of multi-variable function problem one by one into realities.

摘要本文在对二元函数极值问题的相关结论进行分析的基础上，用泰勒公式、二次型、海赛矩阵作为工具，将二元函数极值的必要条件和充分条件推广到多元函数的情形，而且还利用拉格朗日中值定理找到了一个判别不可导点处极值的方法，从而弥补了多元函数不可导点处极值无法判断的空缺。因而，使得用穷举判断的方法来解决多元函数的极值问题这一思路成为现实。

We first introduce the positive real spectrum function and bounded spectrum function then establish the parametrization of the power spectrum by the Levinson polynomials associated with the autocorrelation matrix of the output and bounded spectrum function.

首先引入正实谱函数的和有界谱函数的概念，利用正实函数和有界实函数理论，通过和过程自相关矩阵相关联的Levinson多项式和有界谱函数，建立了功率谱参数化的表达式。

On the basis of intrapair and interpair correlation model, we have calculated the pair correlation energies of different kinds of systems, analyzed the changing rules of correlation energies of various electron pairs, and developed a reasonable and simple scheme called "Separating Large System into Smaller Ones". The basic idea of this scheme is that the correlation energy contributions of actual components in the ionic compound can be obtained using the correlation energy of ions with integer charge as the boundary conditions and incorporating the HF wave function or the distribution of electron cloud, then the total correlation energy of the system can be estimated by linearly summarizing the correlation contributions of these components.

在对内对间电子相关能理论模型的基础上，进行各类型化学键分子体系电子相关能的计算，分析电子对相关能的变化规律，建立合理的、&化整为零&的电子相关能简捷计算方案，其基本思想是对于离子键体系以整价离子的电子相关能为边界条件，通过HF波函数或电子云分布求得大体系中实际离子的电子相关能后，进行线性加和，即&化整为零、聚零为整&的思想。

After analyzs the key elements in social agents, sets up negotiation model among social agents based on argument, and sets up relative decision funciton; then based on the hypothesis of relative datum, analyzes the validation of the model and decision function through relative calculations with an nagetiation example of social agents in multi-agent society, and makes a simulation of its argument dialogue about this example based on defining the locutions of relative negotiation.

通过对Agent间存在的有关社会性的关键元素进行分析，建立了基于辩论的社会性Agent间的谈判模型，并建立了相关的决策函数；然后通过一个存在于多Agent社会中而具有社会性的Agent间的谈判实例，在假设了相关数据的基础上对模型和决策函数进行了举例计算，分析验证了其有效性，并在对相关的谈判原语作出定义的基础上对此谈判实例的辩论对话过程进行了模拟。

Do not gum up the work by telling mother what we are going to do .

别告诉母亲我们要干的事，那会把事情搞糟的。

In recent years, application of the partial prestressed concrete beam s is developed.

近年来，随着部分预应力砼梁应用的推广，发现我国规范所采用的名义拉应力法的计算结果不稳定。