查询词典 equivalent form

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。

Results Axioms of equivalent characterization is simplest and which is proved to be equivalent to the Boolean algebra.

结果 得出了Boole代数的等价刻画以及等价刻画中各条公理的独立性。

Based on a summary of main work in the field of analyzing impulse voltage distribution on normal transformer windings by computer over last several years, a new method for building up the equivalent circuit and calculating equivalent parameters of converter transformer is given in this paper. Meanwhile , a new method for calculating inductance parameters is given also .

本文在回顾总结国内外几十年来普通电力变压器波过程计算工作的基础上，从工程实际应用的观点出发，论述了换流变压器与普通的变压器在电磁性能、绝缘结构方面的不同之处，提出了换流变压器绕组波过程的等值电路和等值参数的计算方法，同时给出了一种新的电感参数的计算方法。

Based on analogy and equivalent method, presents an improved equivalent method to transform the capillary tube length and inner diameter.

在类比法和当量法基础上，提出多根毛细管之间长度、内径相互转换的当量方法。

One cartload of the enemy's provisions is equivalent to twenty of one's own, and likewise a single picul of his provender is equivalent to twenty from one's own store.

就地取给粮食一钟，相当于从本国运输二十钟；就地征集饲草一石，相当于从本国运输二十石。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational, basic, differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式，给出了这几个不等式的一些应用实例，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational ,basic , differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality and Minkowski inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式和闵可夫斯基不等式以及这几个不等式的应用，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

I We present a characterization of equivalent chain graphs based on local transformations, and give an algorithm to transform one chain graph into an equivalent one.

链图可以含有有向边和无向边，因而能够反映相关关系和因果关系，我们主要讨论了三个问题。

The whole industrial chain and branch chains of circular economy have been planned for Zhenhai chemical park. The branch chains consist of ethane chain, C_1 chain, HC1 chain, H_2chain, NH3 chain and S chain. The concept of equivalent pollutant emission, E, has beenproposed and a reference line based on equivalent pollutant emission has been given and applied to the primary appraisal for Zhenhai chemical park. The whole chain and branch chemical industry chains have been also planned for ZJC group company, which include the industrial chain containing fluorine, the industrial chain of basic chemicals and the industrial chain of petroleum chemical industry.

本文对镇海化学工业区的工业链构建进行了可行性分析；完成了园区工业链的整体规划设计，和包括乙烯工业链、碳一工业链、HCl工业链、H_2工业链、NH_3工业链、S元素工业链在内的6条分链的设计；提出了污染排放当量E_t~′的概念，并将其应用到园区工业链招商的初评，制定了入园参考线；本文在对ZJC集团公司发展现状分析的基础上，根据其物质流和能量流的分析，进行了工业链的总体设计，并对氟化工产业、基础化工产业(包括以合成氨为代表的煤化工、以氯碱生产为代表的盐化工以及硫酸、电石等产业)和石油精细化工产业完成了分链设计，进行了分链的分析，提出了建议。

The invention also discloses a relative report sender, which comprises inquirer for inquiring said disperse equivalent chain group; a controller for generating sending command to the sender when there is the disperse equivalent chain group; a sender for sending LSA refresh report at the main disperse chain.

本发明还公开了一种报文发送装置，该装置包括：查询单元，用于在网络设备发送LSA更新报文时查询所述网络设备与其邻居设备间的扩散等价链路组信息；控制单元，用于当查询结果为网络设备与其邻居设备间存在扩散等价链路组时，生成发送命令下发给发送单元；发送单元，用于按照所述发送命令，只在所述扩散等价链路组的主扩散链路上向邻居网络设备发送所述LSA更新报文。

In this new architectural plan the Garden of Golgotha came to be at the centre of the new city.

Aelia 是高举他自己，并在此城内朝拜罗马诸神。

The continuous nature of peat accumulation means that terrestrial coaly rocks may provide a higher resolution and more complete record of base-level change than the time-equivalent shallow-marine strata, thus enabling the identification of highfrequency cycles that are not recorded in themarine strata.

泥炭积累的持续性质的手段，陆地coaly岩石可提供较高的分辨率和更完整的记录基准面变化的影响时，相当于浅海阶层，从而使确定的高频周期，不记录在themarine 阶层。