推广

The application of this tube in louyang petrochemical complex alkaline residue treatment unit proves that it can replace stainless steel tube and can be used wind-ranging in the acid water system of the unit.

在我厂碱渣处理装置二年多的实际应用充分说明了其可以代替不锈钢在酸性水系统全面推广使用。

That is the generalization of the results of one complex variable.

对单变数情形的结果进行了推广。

This method can strengthen the bearing force of component and repair the defect of structure basically without increasing the cross section of component.

该技术具有强度高、质量轻、施工简便的特点，是一项可推广应用的新技术，其市场发展前景良好。

Thereby, these facts indicate that the SDE not only have better statistic properties but also have uniformly smaller mean square errors than ANOVAE in an available group of linear mixed models. The other significative following work is to generalize the idea of SDE to multivariate linear mixed model and obtain the SDE of variance component matrices which uniformly dominate the ANOVAE either.

对于含有一个随机效应的混合模型，目前文献中都仅讨论了方差分量的谱分解估计和ANOVA估计等价的充要条件，本文首次给出了方差分量的谱分解估计在均方误差意义下严格的优于ANOVA估计的理论结果，并推广到广义谱分解估计，从而说明谱分解估计不仅较ANOVA估计有更好的统计性质，而且在一类常用的模型下有更小的风险损失。

In thethesis we present a method to calculate the dielectric function of therandom composite and give the expression of the effective dielectricfunction.

在本文中，我们将计算周期性结构介电函数的表达式推广到无规系统，给出了无规系统有效介电函数的级数表达式，并得到了稀浓度时的解析表达式。

Composition weight factor is derived from the concept of "radix" in natural number systems, and to be the generalization of it in real number field.

组成权重因子"来源于自然计数制中"基数的概念，是它在实数域上的推广。

Iii By using the well-known properties of the dela vallee-poussin summability kernels and the pass principle of weakly compact operator, we study the weak compactness of C〓 on vector-valued analytic function spaces H〓, B〓, N and N〓, establish some connections between the weak compactness of composition operators and the structure properties of Banach spaces. These generalize and unify the corresponding results in the scalar-valued setting and enrich the content of the study of composition operator in another way.

第三，利用著名的de la Vallee-poussin可和核及有关算子的弱紧性的传递原理给出了向量值解析函数空间H〓、B〓、N及N〓上的复合算子的弱紧性的刻画，建立了复合算子的弱紧性与Banach空间的结构性质之间的联系，统一和推广了对应的数量值解析函数空间上的复合算子的弱紧性，这从另一种途径极大地丰富了复合算子的研究内容。

We establish some connections between geometric properties, properties in analysis and analytic properties of the inducing map ψ and operatortheoretic properties of composition operator C〓: f〓fοψ on various analytic function spaces mentioned above, include the boundedness, compactness, weak compactness, collective compactness and the Schatten class operator ideal, etc. Our results extend some previous results, for instance, the Shapiro's Nevanlinna counting function condition and the MacCluer's Carleson measure condition for the compactness of C〓 on Hardy space.

本文建立了D上解析自映射φ：D→D的几何性质、分析性质和解析性质与复合算子C〓：f→foφ在上述各种解析函数空间上的限制的算子性质之间的联系，涉及到复合算子C〓的有界性、紧性、弱紧性、总体紧性及Schatten类算子理想等算子特征，推广了前人的一系列结果，如Shapiro关于C〓的紧性的Nevanlinna计数函数条件，MacCluer关于C〓的紧性的Carleson测度条件等。

Based on finite mixture models, we apply Bayesian method to compositional data and ordinal data clustering.

本文将基于有限混合模型的贝叶斯聚类方法推广应用到成分数据和有序数据的聚类分析。

The analysis and the experimental results show that the new approach possesses high comprehensibility as well as satisfactory generalization capability.

理论分析和试验结果显示该方法具有良好的可理解性和令人满意的推广能力。

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。