等价的

The fuzzy entropy based on equivalent relation is extended to generalize the fuzzy entropy based on general binary relation, and the calculating formula and the equivalent expression of the generalized fuzzy entropy are also given.

并将基于等价关系的粗糙集的模糊熵拓展到基于一般二元关系下粗糙集的广义模糊熵，给出了广义模糊熵的计算公式及等效表示形式。

Applied Green's function, the differential equations will be transformed into the equivalent of integral equations, sufficient conditions for existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous boundary value problems with p-Lapacian operator are obtained.

文中，利用格林函数，将微分方程转化成等价解的积分方程，给出了该奇异非线性四阶p-Lapacian微分方程边值问题的正解的存在及惟一性的一个充要条件。

The solution of known concentration is gradually added to the unknown solution from a burette (a long measuring tube with a valve at the bottom) until the equivalence point is reached.

将已知浓度的溶液用滴定管(一根长的带刻度的管子，底部有活栓)逐渐加入未知溶液，直至达到等价点，于是可以计算出未知物质的量。

It is shown that a continuous flow with the AASP is chain transitive and some equivalent conditions of the continuous flow with the AASP to be chain recurrent are obtained.

对连续流引入渐近平均跟踪性质概念，证明具有渐近平均跟踪性质的连续流是链传递的，同时对具有渐近平均跟踪性质的连续流给出链回归的几个等价条件。

Based on the methods and techniques of covering theory, the structure of module category of tame concealed algebra, one-point extension, vector space category, finite enlargement, degeneration theory, stable equivalence and combinatorial method, we will classify all of the three-point algebras with Gabriel quiver the system quiver Q according to representation type. We get the classification theorem: Let A=kQ/I be a three-point algebra given by the system quiver Q.

本文综合利用覆盖理论，tame concealed代数模范畴的结构，单点扩张，向量空间范畴，有限enlargement，退化理论，稳定等价以及组合的方法等多种方法和技巧，将所有由系统箭图Q给出的三点代数按表示型进行分类，得到如下分类定理：Q是系统箭图，I是kQ的一个admissible理想。

In Chapter 4, we define the induction of divisors and prove the existence of Galgebras of complete induction; through the analysis of Mackey formula, we give an equivalent characterization of the relationship between Green correspondence and free projectivity.

在第四章中，我们定义了除子的诱导，证明了完备诱导的G-代数的存在性；通过分析Mackey公式，给出了Green对应和自由投射关系的等价刻画。

On defining the conditional threshold of discretized density evolution, a method for designing the time-invariant quantized decoder with finite levels, which can approach the optimal time-varying one and hence the continuous decoding, is proposed.

应用Shannon率失真理论以及密度进化理论，阐述了最佳量化译码的时变特性，建立了离散密度进化的条件阈值概念，提出了二元输入对称信道上逼近最佳时变量化译码、进而接近连续译码的时不变量化译码设计方法，推导了量化和积算法与最小和算法的等价条件，从误码率性能、错误平层和平均迭代次数等三个指标全面衡量量化译码性能； 5。

The definitions of confidence coefficient and equivalent variance are introduced to indicate the feedback quality,and their closed expressions are derived under the practical environment with both feedback delay and feedback error.

对于实际中反馈时延和反馈误差同时存在的情况，推导了表征反馈质量的置信系数和等价方差的通用闭式表达，将现有只存在反馈时延或反馈误差下的结果扩展到一般情况。

In order to reduce the conservativeness of the analysis and the design of the presented fuzzy hyperbolic H ∞ filter, the concepts of extended ε-block and λ-block are introduced and the corresponding equivalent forms are also defined.

为了降低滤波器设计的保守性，引入广义的ε-block、λ-block和其相应的等价形式的概念。

Hence we can map ELOTOS to RPPM according to the trace equivalence. We describe the qualitative properties with deterministic timed automaton . The key of our qualitative model checking algorithm is how to map continuous time to finite intervals by constructing equivalence classes.

该算法构造等价类的思想是：通过触发事件剩余延迟时间与DTA中时钟时间值或其它事件的剩余延迟时间值的相互关系将连续时间映射到有穷个加了标志变量的时间区间，标志变量表示这种相互约束关系。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。