极大

As a application of the above results, some minimax inequalities and saddle point theorems can be obtained. In addition, fixed point theorems and section theorems, maximal element theorems and the existence theorems of equilibrium for abstract economies can also be discussed.

作为应用，可以得到L-凸空间中极大极小不等式和鞍点定理；进一步，还可以探讨不动点定理和截口定理，极大元定理和抽象经济的平衡存在性等问题。

The central problem associated with the maximal monotone operator is finding zeros of it.

求解极大单调算子的零点是极大单调算子理论的核心问题之一。

In the meanwhile,we also establish the boundedness results of the higher order commutators generated by Hardy-Littlewood maximal operator with rough kernels and corresponding fractional maximal operator with rough kernels on MK_~.

同时还建立了Hardy-Littlewood极大粗糙算子和相应的分数次极大粗糙算子所生成的高阶交换子在MK_~上的有界性。

The problem that under what conditions the - resolvent operator of a maximal TJ - monotone set-valued mapping is a Lipschitz continuous single-valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional Euclidean spaces.

借助于图收敛理论证明了有限维欧氏空间中的两个极大单调集值映射的和映射在较弱条件下仍是极大单调集值映射，并在此基础上讨论了一般集值变分包含问题解集的凸性、闭性和有界性。

Pisier\'s results,under tree martingale valued space X is isomorphic toan a-uniformly convex space (2≤a＜∞),some quasi-normal or normal inequalitiesof a-variation maximal operator and a-conditional variation maximal operator of X-valued predictable tree martingales are identified.

同时，用G.Pisier's结果在树鞅取值空间X同构于a一致凸Banach空间条件下，证明了几个X-值树鞅α-方极大算子和a-条件方极大算子的拟范数不等式与范数不等式。

Fourthly,in the UMD spaces,the tree martingale transforms and their maximaloperators are defined,and then based on the geometrical property of UMD spaces andcombining new interpolation techniques of Hardy-Lorentz spaces,the inequality ofUMD space valued tree martingale transform maximal operators is obtained.

然后，在UMD空间中，我们定义了树鞅鞅变换及其极大算子，并用UMD空间几何性质和Hardy-Lorentz空间的算子插值理论证明了UMD空间值树鞅鞅变换的极大算子不等式。

With regard to the estimation of the variance components, many statisticians proposed a number of approaches, such as the Analysis of Variance Estimator, Maximum Likelihood Estimator, Restricted MLE, and the Minimum Norm Quadratic Unbiased Estimator, etc.

关于方差分量的估计统计学家们提出了许多方法，如方差分析估计，极大似然估计，限制极大似然估计，最小范数二次无偏估计等。

Generalized linear models, which can model a large variety of data, have a wide area of application. The class of GLMs includes, as special cases, linear regression, analysis-of-variance models, log-linear models for the analysis of contingency tables, logistic models for binary data in the form of proportions and many others. Usually, the parameters in the generalized linear models are estimated by the method of maximum likelihood . But, in the literature, the nonrobustness of the maximum likelihood estimator forβhas been studied extensively. The quasi-likelihood estimator of the parameter of the generalized linear model shares the same non-robustness properties.

广义线性模型，可用于对多种类型的数据进行建模，是应用非常广泛的模型，线性回归模型、方差分析模型、用于列联表分析的对数线性模型和逻辑斯谛模型等都是广义线性模型的特例，通常，我们用极大似然的方法估计广义线性模型中的参数，但是，在文献中，对参数β的极大似然估计的非稳健性已经有了广泛的研究，广义线性模型的拟似然估计也显示了非稳健性。

Systems of inqualities,the minimum or maximum of a convex function over a convex set,Lagrange multipliers,and minimax theorems are among the topic treated,as well as basic results about the structure of convex sets and continuity and differentiability of convex functions and saddle-functions.

其中对不等式系统、凸集上的凸函数的极小或极大、拉格朗日乘子和极小极大定理做了专题论述，同时对凸集的结构和连续性以及凸函数的可微性和鞍点函数的基本结果做了介绍。

The difficulties brought bydigital image processing are the huge data count and the very high-speed processingcapacity and very large-capacity memorizer demanded.

数字图像技术的难点在于其极大的数据量和相应要求的极快的处理速度和极大的存储空间。

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。