等价

Under the heterogeneously exponential setup,we obtain the equivalent characterization in terms of parameters for the stochastic order between the sample range from nonidentical independent exponential observations and that from i.i.d,exponential ones;also,we derive the characterization for the likelihood ratio order between the second order statistics from heterogeneous exponential random variables.

在这种设置下，样本极差X_-X_(1，n)和Y_-Y_(1，n)之间的通常随机序可以用其参数的不等式来等价刻画。另外，我们也建立了第二顺序统计量X_(2，n)和Y_(2，n)之间的似然比序的等价刻画。

This transformation can be the orthogonal projection of the r.h.s matrix on to the range space of the linear system of matrix equations corresponding to the strong-constraints.

在文中，我们提出了刻划等价映射的几个定理，并且给出了等价映射可验证的一些构造途径。

The partial recursive function is constructed by Hopfield neural networks.

由于部分递归函数与图灵机等价，故Hopfield网与图灵机等价。

In this paper,we show firstly the equivalence of Maskin monotonicity and strategy-proofness on the single peakedness preference domain ,and furthermore that of Maskin monotonicity and coalitional strategy-proofness.

本文证明了在单峰偏好域上Maskin单调性与防策略条件是等价的，并进一步证明了Maskin单调性与联盟防策略是等价的。

From our results we know that the average error of the Lagrange interpolation sequence and the Hermite interpolation sequence based on the Chebyshev nodes in the 1-fold integrated Wiener space equal weakly to the average error of their corresponding optimal approximation polynomial in the 1-fold integrated Wiener space,and as a kind of information-based operation,they have simple form and their recover functions are polynomials,in the 1-fold integrated wiener space,their average error equal weakly to the corresponding minimal information radius whose permissible information operators class is function values.

通过我们的结果可以知道，基于第一类Chebyshev多项式零点的Lagrange插值算子列和Hermite插值算子列在1-重积分Wiener空间下的平均误差弱等价于相应的最佳逼近多项式在1-重积分Wiener空间下的平均误差，并且作为形式简单且恢复函数为多项式的一种信息基算法，其在1-重积分Wiener空间下的平均误差弱等价于相应的以函数值计算为可允许信息算子的最小平均信息半径。

In Chapter 3,we classify a binary-coded individual space equivalently withthe help of the ideals of Boolean algebra and analyze the search capabilitiesof a new kind of algebraic crossover operator in these equivalence classes,thenprovide the algebraic representation of a type of genetic algorithms by usingthe permutation group,therefore we can derive a lot of new forms of geneticalgorithms.

第三章运用Boole代数的理想将二进制编码的个体空间进行等价分类，分析了一类代数杂交算子在这些等价类上的搜索能力；然后利用置换群给出一类遗传算法的代数表示，由此导出多种新形式的遗传算法，并给出其中两类算法形式的收敛性结果。

In the field of propositional logic in computer logic, the Logic Equivalent of propositional is fundermental.

在逻辑语言的命题演算中，命题式的等价是一个基础性的问题，在判定命题式等价问题中，真值表示比较常用的一个方式。

Epistemic states ; similarity ; quasi skeptically equivalent

认知态；相似；怀疑等价；拟怀疑等价

Ricardian equivalence, is an economic theory which suggests that it does not matter whether a government finances its spending with debt or tax increase, total level of interest rate, private investment, and consumption will remain unchanged.

李嘉图等价定理认为，政府的财政收入形式的选择，不会引起人们经济行为的调整摘要：李嘉图等价定理认为，政府的财政收入形式的选择，不会引起人们经济行为的调整。

The traditional query tree optimization methods,parallel database optimization methods based on left linear trees and right linear trees,bushy trees,and operation of the forest,have their own pros and cons,they have been more in-depth and maturity of the study.The query optimization method based on multiple weighted tree has studied its model of parallel query plan,its complexity model of parallel query plan and query optimization algorithms.The semantic query method transforms an inquiry into one or several semantic equivalence inquiries then has to find and implement a strategy to achieve a better query.Agent-based parallel database query optimization using Multi-Agent technology to automatically search the integrity constraint conditions which are related to the determined query,there for,the efficiency between several relations' joins has been greatly improved.The parallel optimization algorithm,based on genetic algorithm which is suitable for multi-joins of cluster environment,has deeply studied the relations storage options,multi-joins query optimization and query processing and other key technologies based on cluster parallel database.

传统的查询树优化方法，即基于左线性树、右线性树、浓密树、操作森林的并行数据库查询优化方法，各有优劣，对其的研究比较深入、成熟；基于多重加权树的查询优化方法，研究了其并行查询计划模型、并行查询计划的复杂性模型和查询优化算法；语义查询优化方法将一个查询变换成一个或数个语义等价的查询，进而寻找并执行这些等价查询中具有较好实现策略的一个；基于Agent的并行数据库查询优化采用Multi-Agent技术自动查找与给定查询有关的完整性约束条件，使得多个关系间连接操作的效率得到很大的提高；基于遗传算法的并行优化算法，深入研究了基于机群并行数据库中关系存储的选择、多连接查询优化和查询处理等关键技术。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。