剩余定理

This paper has firstly defined the factor struture M/P of commutatiuely residual monoid M by its sub-monoid P, then we have studied its properties and given out some isomorphism theorem.

本文首先定义了交换剩余幺半群M相对于其子半群P的商结构M／P，然后研究了它的性质并给出了一些同构定理。

The Chinese Remainder Theorem is one of the greatest achievements in the Chinese traditional mathematics,which is on the theory of congruence of first degree. It's from the problem of the "Wu Buzhishu" in the Chinese classical mathematical work Sunzisuanjing.

"中国剩余定理"是中国传统数学中关于一次同余式理论的一项杰出成就，它源于中国数学典籍《孙子算经》中的"物不知数"问题，秦九韶在《数书九章》(1247)中将这一问题发展为求解一次同余式组的一般方法，称为"大衍总数术"。

In the paper, we improve CHAP protocol by substituting password in the protocol with fingerprint after analyzing the security of CHAP. In addition, an improved secure lock is designed by using the Chinese Remainder Theorem, which is used for key management of the confidential cell broadcast.

另外，针对GSM中加密小区广播的密钥管理问题，本文利用中国剩余定理设计了一种改进的"安全锁"，用于加密小区广播的密钥管理，保证了系统的前向安全和后向安全，降低了系统开销。

Making a primary research on member deletion. Three kinds of member deletion schemes are annlyzed, including schemes based on witness, accumulator and Chinese Remainder Theorem.

对群成员的删除题目作了初步的探索，剖析了现有的几种群成员删除计划，包括基于证据值的删除计划，基于动态累加器的删除计划和基于中国剩余定理的删除计划。

Based on the key tree and the Chinese remainder theorem, a leveled group key management scheme in wireless networks is proposed. An efficient stateless and leveled group key management scheme focusing on the revocations of wireless nodes is also presented. The security, flexibility, and adaptability of these two schemes in wireless networks are analyzed.

针对无线网络的特点建立了一种基于密钥树和中国剩余定理的分级群组密钥管理方案，针对无线节点容易被捕获的问题提出了一种能够有效解决密钥撤销的无状态分级群组密钥管理方案，并且着重分析了这两种方案在无线网络中的安全性、可扩展性和适用性。

The article is on analytics card and the base that spread Chinese residue theorem, put forward a kind of new network information to add secret program, what show this plan with example is reasonable and practical.

本文在分析论证和推广中国剩余定理的基础上，提出一种新的网络信息加密方案，并用实例说明该方案的合理实用。

Fisher(1930)shows how capital markets increase the utility both of economic agents with surplus wealth and of agents with investment opportunities that exceed their own wealth by providing each party with a low-cost means of achieving their goals The Fisher Separation Theorem demonstrates that capital markers yield a single interest rate both borrowers and lenders can use in making consumption and investment decisions, and this in turn allows a separation between investment and financing decisions.

费希尔（ 1930年），可见资本市场，提高公用事业双方的经济代理人与剩余财富，以及代理商与投资机会超过他们自己的财富，提供每一个党同一种低成本的方式实现自己的目标费雪的分离定理证明资本标记产量单一利率均借方和贷方可以使用，使消费和投资决定，而这反过来又使分离之间，投资与融资的决策。

In this section, applying the method, from abstract to specific and from history to present, it analyzes the operation mechanism of urbanization economy affected by market mechanism; puts forward four theories of urbanization economy from economic perspective, including agriculture surplus and comparison advantage; non-agricultural industry; agglomeration economy and spillover effect, on this basis of the theories, it, on one hand, analyzes two kinds of internal mechanism in the chronologic operation of urbanization economies: increasing mechanism of urbanization economies in urban output industry; and changing mechanism from specialization to integration, which are the representations of the evolution of "mart" development; on the other hand, it analyzes two internal mechanism of dimensional operation of urbanization economy: internal spatial enlargement mechanism of urbanization economies from monocentric city to multi-center city, and external spatial enhancement mechanism which represents city-regionalization and city-chain connection, the later two mechanism represent the evolution of "polis" development.

这一部分，按照由抽象到具体和由历史到现代的研究方法，分析了市场机制作用下的城市化经济运行机理，从经济学角度提出了农业剩余与比较优势、非农产业、聚集经济、外溢效应四大城市化经济定理；在此基础上，一方面分析了城市化经济运行沿时间增长的两个内在内容提要机制：城市输出产业的城市化经济增长机制和从专业化到综合化的城市性质变迁机制，它们主要表现为&市&发展的延续；另一方面分析了城市化经济运行沿空间增长的两个内在机制：从单中心到多中心的城市化经济运行的内部空间扩展机理和表现为城市区域化、城市连绵体的城市化经济运行的外部空间扩展机理，它们主要表现为&城&发展的延续。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷