最小化

Under weighted squared error loss, it is showed that a least favorable prior, when estimators are restricted to be polynomials of X with degree no more than k, exists and has at most (k+2)-point support, and its Bayes solution, under above restriction, is a k/sup th/ polynomial minimax estimator.

是观测值X的期望值，在X的多项式函数中，於加权平方误差损失之下，本文考虑使其最大风险最小化的多项式大中取小估计式。

The alternate iterative method in the nonlinear minimizing process has been presented, on the base of finite element method and the least square method.

摘 要：对混凝土框架结构的局部刚度缺损反问题进行了动力学方法研究，在采用有限元最小二乘法的基础上，提出并利用了非线性最小化过程的交错迭代法。

The program sports such unconventional functions as window minimization to the system tray and to the desktop edge, automatic minimization of an inactive window plus minimization of an application to the tray at its launch.

该计划体育等非传统职能的窗口最小化到系统托盘中和到桌面的优势，最大限度地减少自动停播的窗口，加上最小的一个应用托盘在其发射。

Sensitivity function and control sensitivity function are obtained by Youla parameterization of controller,which is used to describe an integral square performance criterion containing tracking error and control energy.

由控制器Youla参数化得到控制系统的敏感度函数和控制敏感度函数用来表示一个包含跟踪误差和控制能量在内的积分平方性能指标，针对不同类型的时滞过程运用谱分解的方法最小化该性能指标，从而导出相应控制器的设计方法，可使系统在控制能量约束条件下具有最优的控制性能。

The features include:(1) objective, which is maximum of economic and noneconomic benefit minimum of economic and non-economic risk;(2) limited reason, which is caused by the uncertainty of environment, bias and incompletion of information and limited ability of information treatment or unreasonable behave of individual;(3) asocial, which is maximum of self-benefit of individual and object conflict between individual and organization.

这些特征包括：(1)决策目标：经济与非经济利益的最大化，经济与非经济风险或损失最小化；(2)有限理性：存在环境的不确定性、信息的不完备和不对称，有限的信息处理能力或说个体行为的非理性化；(3)投机性：存在个体的追求自身最大利益的行为、个人或组织之间目标的冲突、约束制度的不完善等。

The structure of WNN is trained using Structural Risk Minimization based on statistical learning theory and weights of networks are optimized by adaptive orthogonal least square.

采用统计学理论的中的结构风险最小化原则为目标来训练网络的结构，采用自适应正交最小二乘法来训练网络权值，该方法最大限度地保证了网络的泛化能力。

The essence idea of restoration based on Total Variation is that translate the problem into minimum of energy functional with TV regularization, then the Partial Differential Equations are got from the principle of variation, finally after discretization the optimal resolution with the numerical methods is obtained.

基于整体变分的图像恢复概括的说就是把图像恢复问题形式化为带有整体变分正则化项的图像能量泛函极值问题，采用变分原理将其中的最小化问题转为所要求解的偏微分方程，即Euler-Lagrange方程，利用数字图像本身的离散特征使用适当的数值方法来求它的最优解，最后达到逼近原始图像的目的。

Because source data is unsteadiness, the changes of data must be spread to materialized view and make it be consistency the changes of materialized view and source data. Otherwise the freshness of data in materialized view will be fall down and the authenticity and consistency of OLAP will be affected. For the maintenance problem of materialized view, an algorithm is presented and it can make the cost of materialized view recomputation be minimized.

由于源数据的不稳定性，其数据的变化必须及时传播到实体化视图中，以保持实体化视图与源数据的变化一致性，否则会降低实体化视图中数据的新鲜度，并影响联机分析处理查询结果的真实性和有效性，针对视图的维护问题，提出了实体化视图的一种维护算法，它将使视图重计算代价最小化。

After that, the process and method of life-cycle design are studied according to the process of green product life-cycle and the priority strategies of life-cycle design are concluded as a whole. In chapter 4, argues that Clean Production Technology conciliates social economy development and environment protection on the basis of relationship analysis among society economy, environment and clean production technology from the perspective of modern Eco-economics. It is proposed that resources cost should be equal to marginal opportunity cost from the point of sustainable development.

第四章从现代环境经济学和可持续发展观点出发，深入地分析了社会经济、环境和清洁化生产技术之间的关系，并从可持续发展角度出发阐释了以边际机会成本作为资源成本的原由及构成；在此基础上，采用数学方法分析了企业清洁化生产的过程，推导了企业清洁化生产资源边际机会成本最小化的约束条件，并研究了企业清洁化生产的技术、经济、环境数学模型。

Water Cascade Analysis technology was used to synthesize the water use network for batch processes,which could determine the water pinch point location and the minimum utilities target of the batch process:minimum fresh water use and wastewater discharge.

利用水级联分析法对间歇过程用水网络进行研究，确定过程的用水夹点及最小新鲜水用量和最小废水排放量，提出了间歇用水过程的全局夹点的概念，考虑了用水过程的流率限制，在水级联表格中用流率替代了传统水级联分析法中的传质量，识别过程中每个时间段的局部夹点及公用工程目标，通过全局夹点和局部夹点的比较，指出过程的用水瓶颈，设置储罐打破瓶颈，使用水网络公用工程目标最小化。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失