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It is proved that a semiring is complemented if and only if it is a direct product of some Boolean algebra and Boolean ring by studying the relations of congruences on the complemented semiring, so the complemented semiring is the commutative semiring.

s-内射模。通过研究可补半环S的性质及S上的同余关系,证明出可补半环与布尔环和布尔代数的直积是等价的,因而可补半环是交换半环。

In this note, we prove a congruence relation on real quadratic fields which relates class number and certain character sum.

本文证明了关于实二次域的类数和某类特征和的同余式,同时给出某类实二次域的类数可除性的一个判别法则。

In this thesis, we defined duality Fuzzy relation in a pointwise Fuzzy set by a set of duality Fuzzy point. Then we defined Fuzzy congruence and Fuzzy rough set in Fuzzy semigroups.

本文把二维模糊点作成的集合定义为一个点态化模糊集上的模糊二元关系,进一步定义模糊同余关系,并通过它又定义点态化模糊集上模糊粗糙子集,并研究了它们的一些性质。

At first, the principle of algebraic quadratic congruence mapping is analysed, and then limitation of odd-even protection and shift computation are added to the mapping of interleaver.

首先分析算术二次同余映射的原理,然后在此基础上对交织器的映射关系加以保奇偶序限制和移位运算,从而得到两个改进型的算术映射交织算法。

The primary theory of numbers aspect related integer property basic content.

摘要本论文主要讨论了整数的离散性、代数性质、有序性、整除性、最大公因数与最小公倍数、素因子分解、同余等初等数论方面的有关整数性质的基本内容。

Finally this paper consideres an applicable case-the symbolic transition graph,then the generalized symbolic observation graph SOG and symbolic congruence graph SCG can be finite,so authors' algorithm is feasible for weak bisimulation and observation congruence.

此时由符号双迁移关系生成的符号观察图和迟符号同余图必为有穷图,因而我们的弱互模拟等价算法是可行的。

By using properties of quasi-regular semigroups and left central idempotents, some statements are proved. Let S be a quasi-right semigroup, then (1) S is a quasi-completely regular semigroup;(2) RegS is a completely regular semigroup;(3) R(superscript *) is the smallest semilattice congruence on S;(4) Each R-class T(subscript α) on RegS is a right group;(5) T(subscript α)G(subscript α)×E(subscript α), where G(subscript α) is a group, E(subscript α) is a right zero semigroup.

利用拟正则半群和左中心幂等元的性质,证明了S为拟右半群时,(1) S为拟完全正则半群;(2) RegS为完全正则半群;(3) R为S上的最小半格同余;(4) RegS上的每个R-类T为右群;(5) TG×E,其中G为群,E为右零半群。

Based on the analysis of the linear congruential generator and TigerSHARC20XS of ANALOGDEVICES,this paper presents a method for generating the pseudo random sequence in optional cycle by addressing the sequence of descending length.

文中基于线性同余算法,结合Analo Gdevices公司DSP芯片TigerSHARC20XS的运算结构,设计出一种利用寻址递减长度序列,从而产生具有遍历性的任意长度伪随机序列的方法。

Congruence and ideal are major tools in studying the structure of semiring. Many scholars have deeply, systematically studied on them.

半环的同余,理想是研究半环结构的主要工具,许多代数学者对此进行了深入系统的研究。

The objectives of this thesis are the congruences on locally inverse semigroups, locallyL-unipotent semigroups and the structures of locally orthodox semigroups.

中文摘要:本文的研究对象是局部逆半群、局部L-幂单半群上的同余和局部纯正半群的结构。

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It seems likely that Kraft will return with a better offer.

看起来卡夫要重新考虑一个更好的出价了。

But he'd rather burn off my feelers and watch me squirm.

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