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The main work of this paper is: First,we get the condition that the equation 2py~2 = 2x~3 + 3x~2 + x have no positive solution by the method of simple congruence and decomposition.

利用简单同余法、分解因子法等初等方法,给出了方程2py~2=2x~3+3x~2+x无正整数解的条件。

A new one dimensional optical orthogonal codes(1 D OOC) named extended hyperbolic line congruence codes is constructed,and its performance is analyzed.

构造了一种扩展的双曲线性同余码并分析了其码字性能。

We adopt concurrency method, and use the knowledge of the number theory, such as the Legendre symbol and the the congruence equation to construct some families of the opaque predicates that are suit for Java program.

采用并发方法,用勒让德符号和同余方程等数论知识构造了适合混淆Java程序的不透明谓词簇。

Special ideals are introduced in partial Abelian monoid. It is proved thatunder certain condition, special congruence are just induced by the special ideals.

定义了部分Abelian么半群中的特殊理想,在一定条件下,证明了特殊同余恰由特殊理想所诱导。

In this paper, a CWE model of the distance education system is provided. In order to enhance the bandwidth utilization factor, a transfer method based on multi-channel is presented. Both the transmission of real-time media stream and time-stamp technologies are introduced to the system to ensure the requirement of real-time characteristic and synchronism, and a simple protocol based on RTP (Real-time Transfer Protocol) and UDP is designed. The method, event simulcast, is also brought forward to reduce the data redundancy and expand the collaboration scale of the system.

本文给出了远程教学的协同工作环境模型;设计中为了提高系统带宽利用率,采用一种更符合实际应用要求的"单播+广播"的有效通信方式;为了解决音视频同步问题,参考实时媒体流和时间戳同步技术,设计了一个基于用户数据报协议UDP和实时传输协议RTP的简单传输协议,实际应用中保证了数据的实时性和同步性;系统采用基于显示同播的事件同播方式,这样在一定程度上降低了数据冗余,同时扩大了系统的用户数量。

In memory-constrained situations, linear congruential generators such as MinstdRand0 and MinstdRand might be useful.

在内存攸关的情况下,线性同余发生器如MinstdRand0 和 MinstdRand会很有用。

The semiring congruence on a class of generalized regular semiring S was studied.

研究了一类广义正则半环 S上的半环同余。

In this paper,the theory of regular congruences on partiallyordered semigroups is established.

在这篇博士学位论文中,我们系统地讨论和建立了偏序半群的正则同余理论。

The rectangular group congruences on eventually orthodox semigroup were characterized by means of weak inverse and kernel-trace approach.

利用弱逆和核迹方法,刻画了毕竟纯整半群上的矩形群同余。

Secondly, in a more generalized framestructrue--lattice-ordered monoids,the notion of lattice-valued Mealy-type automata is introduced,we traverse some algebraic properties of this automata and investigate the congruences and homomorphisms of this type automata.Our main results indicate that the algebraic properties of lattice-valued Mealy-type automata have Close links to the algebraic properties of lattice-ordered monoids which automata take values in.Futhermore we study the minimization of lattice-valued Mealy-type automata and provide an algorithm to achieve the minimal lattice-valued Mealy-type automata within finite steps.

其次,在更一般的框架—格半群意义下,提出具有输入和输出字符的自动机——格值Mealy自动机的概念,从代数角度出发较详细地研究了此类自动机具有的性质,同时研究了此类自动机的同余和同态,揭示了此类自动机的代数性质和格半群的紧密联系,最终研究了格值Mealy自动机的极小化问题,并给出了在有限步可实现此极小化的算法。

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