查询词典 parseval equality

This algorithm constructs a set of linear equations. As a result, the relation of the reconstructed design variables and the original design variables is derived, the variable number of optimum design is decreased from m + n + 2 to 4, and the equality constraint optimization problem is converted into reduced- dimension no equality constraint optimization problem.

该算法通过构造一组线性方程，得到了由重构设计变量到原设计变量的映射关系，使优化设计的变量由原来的m + n + 2个减少到4个，并将有等式约束优化问题转换成降维的无等式约束优化问题。

Since any equality constraint is equivalent to two inequality constraints, the algorithm LTR can be used for solving nonsmooth optimization problems with equality and inequality constraints.

同时，由于等式约束等价于两个不等式约束，故算法LTR也适合于求解带一般线性约束的非光滑优化问题。

Similarity is an important relation in fuzzy sets. When equality constraint cannot be satisfied, similarity constraint is a proper candidate for the relaxation of equality constraint.

针对所讨论问题的具体领域，利用问题域中元素的各种特殊关系来提高推理效率，历来是自动推理领域研究的重要方向之一。

Firstly, based on the stability criterion for the nominal discrete singular time-delay system, a sufficient condition for the existence of the static output feedback controller in terms of linear matrix inequality with linear matrix equality constraint is established, which ensures that the resulting closed-loop system is regular, causal and robustly asymptotically stable, and the static output feedback controller is designed by the feasible solution of the linear matrix inequality with linear matrix equality constraint.

首先基于标称离散广义时滞系统的稳定条件，以受限线性矩阵不等式形式，得到闭环离散广义时滞系统正则、因果且渐近稳定的充分条件，同时利用受限矩阵不等式的可行解给出静态输出反馈控制器的设计方法；然后采用矩阵的正交补，把求受限线性矩阵不等式的可行解问题转化为求严格线性矩阵不等式的可行解；最后的数值实例说明了所给方法的有效性和正确性。

In chapter 2 we propose a linear equality constraint optimization question , the new algorithm is combined with the new conjugate gradient method(HS-DY conjugate gradient method)and Rosen"s gradient projection method , and has proven it"s convergence under the Wolfe line search.In chapter 3 we have combined a descent algorithm of constraint question with Rosen"s gradient projection, and proposed a linear equality constraint optimization question"s new algorithm, and proposed a combining algorithm about this algorithm, then we have proven their convergence under the Wolfe line search, and has performed the numerical experimentation.

在第三章中我们将无约束问题的一类下降算法与Rosen投影梯度法相结合，将其推广到线性等式约束最优化问题，提出了线性等式约束最优化问题的一类投影下降算法，并提出了基于这类算法的混合算法，在Wolfe线搜索下证明了这两类算法的收敛性，并通过数值试验验证了算法的有效性。

I don't believe in equality of capacity; but I do believe in equality of opportunity.

我不相信能力是均等的，但是我相信机会是均等的。

Equality does not mean sameness and equilibration, and envy is not an origin of the idea and the claim of equality.

所谓平等概念，在这里意谓一个基本的问题，简单而言，就是我们如何理解平等？

We must establish the unified household registration control system, realize the true equality of civil status, pay attention to reform's dynamics and order, carry on the corresponding reform in systems of human affairs, education, medical service, peel the present household register system's social welfare and other social function, promote the legalization of household register management, in order to establish household register system which manifests the equality, the city and countryside overall plan, the administrative control and the market advancement unify and realizes the freedom to change one's residence.

我国应当建立全国统一的户口登记管理制度，实现公民身份的真正平等，注意改革的力度和顺序，在人事、教育、医疗等制度进行相应的改革，剥离现行户籍制度的社会福利和其他社会功能，促进户籍管理的法制化，建立城乡统筹、行政控制和市场推进相结合的体现平等和实现迁徙自由的户籍制度。

It's necessary to improve the divorcing partition system under the present marriage Law of China, for it is too narrow in defining the range of common property of the couple. The principle of equality can be followed to remedy its inductility; an effective liquidation system should be established to correct its formalism in distribution methods so as to secure the transition from formal equality' to real one and eventually realize fairness and justice as required by law.

目前我国婚姻法所规定的离婚财产分割制度，在确立夫妻共同财产的范围上过于狭窄，需要加以扩大；财产分割原则存在不周延性，需要用公平原则协调；在财产分割方法上形式化，需要建立有效的清算制度，从而实现离婚财产分割制度从形式上平等的规定过渡到实质意义上的平等，真正实现法律所要求的公平正义。

By redefining multiplier associated with inequality constraint as a positive definite function of the originally-defined multiplier, it is no longer necessary to convert inequality constraints into equality constraints by slack variables in order to reuse the method dedicated to equality constraints for constructing Lagrange neural networks.

若重新定义与不等式约束相关的乘子为正定函数，则在构造Lagrange神经网络时，可直接使用处理等式约束的方法处理不等式约束，不需再用松驰变量将不等式约束转换为等式约束，减小了网络实现的复杂程度。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。