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.
设s是有向序半群，本文给出了S上的一类正则同余，称为强序同余的定义及性质。
In this paper, the notation of a strongly ordered congruence on an ordered semigroup s is 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, 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.
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.
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.
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.
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.
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.
如果rand是一个线性同余随机数序列，显示的图案，这意味着在任何给定的时间，这是不正确的，所有的数字都是等概率的。
If rand is a linear congruential RNG, number sequences show a pattern which means that at any given time it is not true that all the Numbers are equiprobable.
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.
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.
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.
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.
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.
描述了基于该线性同余随机序列的图像加解密算法。
The algorithm for encrypting images through sequences from linear congruence generator was described.
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.
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.
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.
最后，给出模糊理想的积和模糊同余关系的积的概念，讨论了它们的一些性质。
Finally, we give the concepts of the product of fuzzy ideals and the product of fuzzy congruence relations. Some properties of them are discussed.
众所周知，正则半群上的同余都是好同余。
It is well known that congruences on regular semigroups are good.
由此推出了P -正则半群上的每个P -同余完全是由其包含幂等元的部分核正规系所决定的。
So We have prove that each P-congruence on P-regular semigroups is uniquely determined by its partial kernel normal systems containing idempotent elements.
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.
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.
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.
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.
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