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In light of orthogonality, we define and discuss orthogonal complement of a set in a Banach space.

进一步,我们引入了正交补的概念,讨论了Birkhoff正交补的相关问题。

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。

In this paper,the existence of multiple positive solutions for a class of fourth-order p-Laplacian operator singular boundary value problems is discussed by using the fixed point index,and some sufficient conditions are given such that the problem has at least two positive solutions.

利用不动点指数理论研究了一类含 p-Laplace算子的四阶奇异边值问题的多重正解的存在性,给出了至少存在两个正解的条件,改进了不久前其他作者的相关研究。

All along strictly during the past 4 years, insist that benefit readjusts oneself to a certain extent in the first , press the customer close to a marketplace , deal with concrete matters relating to work being innovative, debut new low style price unceasingly according with the high-quality goods that the consumer needs, unceasingly, unfinished products has been innovative grinding the transitive hair stream distribution and has made great efforts to improve on after-sale services, and has got very excellent results , brand notability gradually rise, market share is also more and more big , be also attracting illegitimate malicious calumniation of a few bad companies therefore, If publishing fictitious invitation of relevance and article on the network, be in progress to my company calumniate, my company warns these of malicious calumniation person here, solemnly and justly: My company will reserve pertinent litigation rights, to the normal business affecting my company, the company will apply a legal weapon to defend legitimate rights and interests

4,四年来,我公司一贯严格要求,坚持把客户利益放在第一位,贴近市场,务实创新,不断推出新款式低价格符合消费者需求的优质产品,不断在产品创新研发及物流配送和售后服务上努力改进,并取得了非常优异的成绩,品牌知名度日益提高,市场份额也越来越大,正因此,也引来一些不良公司的不正当的恶意中伤,如在网络上发布相关子虚乌有的帖子及文章,对我公司进行诋毁,在此,我公司严正警告这些恶意中伤者:我公司将保留相关的诉讼权利,对影响我公司正常业务的,公司将运用法律武器维护正当权益

First, a chlorinator was self-designed in this paper, and dichloride of 2-methyl-1-propene was synthesized by 2-methyl-1-propene reacted with chlorine fast in this reactor. By means of the Orthogonal Experiments design and single factor experiments, the influence of several reaction variables on the yield were examined and the optimum reaction conditions under the intervallic operation were obtained, the yield and selectivity of dichloride of 2-methyl-1-prop-ene were more than 65% and 80% respectively. Second, the preparation of 2-methylene-1, 3-propanediol, which dichloride of 2-methyl-1-propene reacted with alkali was investigated. By means of the Orthogonal Experiments design and single factor experiments, the influence of several reaction variables on the yield were examined and the optimum reaction conditions under the intervallic operation were obtained, the conversion of dichloride of 2-methyl-1-propene was 100%. Moreover the preparation of MPO, which 2-methylene-1, 3-propanediol reacted with hydrogen, in presence of Al_2O_3-Pd catalyst, was gotten, and the product was appraised.

本文在氯化反应过程中,自行设计制作出了氯化管式反应器,在该反应器中异丁烯和氯气迅速混合反应生成二氯异丁烯,根据该氯化反应特征利用正交试验和单因素试验考察了有关因素的影响并优化得到了最佳工艺条件,二氯异丁烯的总收率达65%以上,选择性达80%;接着,对二氯异丁烯进行水解反应制得了2-甲烯-1,3-丙二醇,讨论了相关因素对水解反应的影响,并通过正交试验和单因素试验得到了较佳工艺条件,二氯异丁烯的转化率达100%;同时还对制备的2-甲烯-1,3-丙二醇在常压下采用三氧化二铝负载钯催化剂催化加氢得目的产物MPO,并对产品进行了鉴定,从而打通了整个工艺路线。

A human model using polynomial convolution surface is presented which is modeled by articulated skeletons convolved with some kernel function. The convolution surface and curve correspondence theorem under orthogonal projection is presented. The human contour is approximated with a convolution curve and 3D human pose can be estimated using a nonlinear optimization algorithm.

首先建立了一种新颖的多项式密度卷积曲面人体模型,该模型由连接体线骨架与某种卷积核卷积而成,整个曲面是一张连续曲面,调节多项式和半径参数可以让人体任意变形;给出了正交投影下卷积曲面和曲线对应的概念和相关定理,为二维的图像轮廓和三维人体模型之间建立对应关系;根据正交投影下卷积曲面与曲线对应定理,用卷积曲线去逼近人体的图像轮廓曲线,从而估计和恢复出三维人体运动姿态。

The very significant partial correlation was also detected between grain length and grain width with the correlation coefficient of more than 0.90 in three populations.?

偏相关分析还表明粒长与粒宽间存在极显著的正偏相关且相关系数在三个群体的估算中均大于0.90。

We present a method to design symmetric orthogonal M-band wavelets with arbitrary regularity by using Grobner basis and syzygy module algorithm in computing algebra to orthogonalize the polyphase matrix.

通过引入计算代数中Grobner基以及合冲模的相关算法,提出对多相位矩阵进行正交化,从而得到了同时具有对称性和任意正则阶的M-带正交小波的高效设计方法。

Not a word was spoken, every one seemed occupied, Franz with his disembarkment, the sailors with their sails, the smugglers with their goat; but in the midst of all this carelessness it was evident that they mutually observed each other.

谁都没有讲话,每个人似乎都在忙着自己的事。弗兰兹正忙着上岸的准备,水手们正忙着收帆,走私贩子们正忙着烤他们的野山羊,但在这一切互不相关的动作之中,他们显然互相在打量着对方。

The constraint conditions of quasi optimal and strict optimal OOCs constructed by recursive method are theoretic analyzed. Based on these constraint conditions, as the initial conditions of OOCs obtained by direct construction, some quasi optimal and strict optimal OOCs with larger code length and sizes are obtained by recursive method.

2理论研究了基于递归法构造准最佳和严格最佳光正交码的约束条件,在此基础上,以直接构造法得到的光正交码为初始条件,利用递归法构造了一些具有相同相关特性的码长更长、容量更大的准最佳和严格最佳光正交码。

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On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面,更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值,分为几个相等的区间作为横轴,并将各区间内所测定值依所出现的次数累积而成的面积,用柱子排起来的图形,也叫做柱状图。

You rap, you know we are not so good at rapping, huh?

你唱吧,你也知道我们并不那么擅长说唱,对吧?