在此基础上，给出了适当半群上模糊好同余的性质。
On this base, some properties of fuzzy good congruences on adequate semigroups are given.
本文引入了半环的星元素、星理想、星同余等概念，得到了半环的星同余的一些重要性质。
In this paper, the concepts of star element, star ideals and star congruences of a semiring are introduced.
本文引入了半环的星元素、星理想、星同余等概念，得到了半环的星同余的一些重要性质。
In this paper, the concepts of star element and star ideals of a semi-ring are introduced.
首先在正规子群与同余的关系的基础上，采用类比的方法，从同余的角度给出了群的正规列幂半群的另一种刻画。
In this paper, based on the relation between normal subgroup and congruence, another depiction of normal series power semigroup is given from the angles of congruence by the method of analogy.
第三，阐述产生均匀分布随机序列的两种方法：平方取中法和线性同余法的基本原理。
Third, two algorithms for producing uniform distribution are analysed thoroughly by us—mid-square method and linear congruential method.
文章研究了线性同余序列参数的生成方法，并给出了具体的求乘数算法。
In this paper we study the way of generating parameters of linear congruential sequence.
本文研究了逆同余产生伪随机数的方法，给出了一般的组合逆同余法算法。
By using inversive congruential method, this paper researches the algorithm to generate pseudo-random Numbers and the general principle for compound inversive congruential method.
这种新算法是在现有的乘同余法和混合同余法等常用算法的基础上改进而来。
The new algorithm is obtained by improving the multiplicative congruential and the mixed congruential methods which are in common use now.
采用关于网格理论的方法，对线性同余序列及向量列在其作为伪随机序列模拟均匀分布时的偏差加以讨论并给出估计。
This article deals with error bounds for linear congruential sequences and vectors which are used as pseudorandom Numbers and vectors of uniform distribution.
利用解析方法研究了一个新的同余方程组的解数性质，并给出了一个均值公式。
Using analytic methods the properties of a new congruence equation are studied and a mean value formula is given.
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。
The rectangular group congruences on eventually orthodox semigroup were characterized by means of weak inverse and kernel-trace approach.
研究了一类广义正则半环S上的半环同余。
The semiring congruence on a class of generalized regular semiring S was studied.
利用群核正规系讨论了纯正群的幂等元分离同余。
Then we study the idempotent-separating congruences on the orthogroups with group kernel normal systems and give it a simple rep.
其次，对这类半群上的群同余、最小群同余、正则同余、幂等分离同余做了进一步研究。
Then group congruences, the least group congruence, regular congruence, and idempotent-seperating congruence on such semigroups are obtained.
在第二章，我们主要研究了适当半群的完备矩形带上的良同余。
In Chapter 2, we will study good congruences on perfect rectangular bands of adequate semigroups.
拟正则半群上的两个完全正则同余相等当且仅当它们的核正规系相同。
Completely regular congruence on an eventually regular semigroup is uniquely determined by its kernel normal system.
拟正则半群上的两个完全正则同余相等当且仅当它们的核正规系相同。
A Completely regular congruence on an eventually regular semigroup is uniquely determined by its kernel normal system.
有关广义同余神经网络（GCNN）的初步研究表明，相对于普通BP网络，GCNN具有很快的收敛速度。
Recent studies on Generalized Congruence Neural Network (GCNN) show that the convergence rate of GCNN is faster than that of BP network.
利用BCI -代数的固有理想这一概念，在BCI -代数中定义了一个同余关系，从而得到这个BCI -代数的固有商代数。
In a BCI-algebra, a congruence relation is defined by using its intrinsic ideal, thus the intrinsic quotient algebra of the BCI -algebra is obtained.
借助近似代数上的原子及同余关系，证明了在适当选取余运算之后，粗集代数就构成伪补MS代数。
Based on the atoms and congruence relations of approximation algebra, it is proved that rough set algebra becomes pseudo-complemented ms algebra if proper complement operators are selected.
刻划了S-正则半群上的极大幂等元分离同余并给每个S-正则半群一个基本表示。
The maximum idempotent - separating congruence on a S - semigroup is characterized and a fundamental representation of a such semigroup is given.
正则半群上的同余是由其幂等元同余类所完全决定的。
The congruences on a regular semigroup is completely determined by its idempotent congruence classes.
利用半代数的同余来讨论半代数的同态定理及其第一，第二同构定理。
Then, with congruence of the semialgebra, we proved the homomorphic theorem of semialgebra and its first and second isomorphic theorems.
将基于混沌的随机数产生算法和线性同余发生器进行组合，产生随机数列。
In this paper, a combined number generator based on the chaotic mechanics and linear congruence generator is proposed.
一般可以用中国剩余定理或者递推算法等方法给出一次同余方程组的解法。
The solution of system of linear congruence equations can be provided by the Chinese remainder theorem or recursive process.
本文在引入半环概念的基础上，介绍半环同态、同余关系、单同余半环等概念，讨论两个同态半环之间单同余性质的关系。
This paper introduces the concept of semirings, homomorphism of semirings and congruence simple semirings, discusses the relation between two semirings.
对该照明CAD系统的光线追迹与光照度计算方法进行了理论探讨，其中在光照度计算方法中引入了线性同余组合发生器，大大提高了模拟的真实性。
The ray trace and the illuminance calculation method of the CAD system is analyzed. And the linear congruence generator is introduced in the calculation, which improves the emulation reliability.
同余理论是初等数论的核心内容之一，蕴含着大量的数论所特有的思想、概念和方法。
The congruent theory is one of the core contents of number theory, containing a great deal of special thought, concept and method.
给出了一类同余方程组解数的公式或渐近公式。
This paper has investigated the system of congruences and given them the asymptotic formula of the number of solutions.
特别是确定了交换的可消幺半群的半格的好同余格上的交与并运算。
Furthermore, the meet and the join for the good congruence lattice are determined for the semilattice of commutative cancellative monoids.
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