同性质

The research of congruence of binomial coefficients is one of the most important problems in combinatorial number theory.

二项式系数的各种同余性质是组合数论中最令人感兴趣的研究课题之一。

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。

For patients of CT-aided acupuncture guoup, acupuncture needles were inserted into the subcutaneous tissues around the focus-projection scalp area displayed by CT,with the needle tips towered the center of the projection .

治疗组以CT所示病灶在同侧头皮的最近距离的投射区的周边为针刺部位围针治疗，方向皆刺向投射区的中心；对照组采用传统针刺病灶侧头皮言语一、二、三区(根据失语症的性质分别选取)的方法治疗。

Some basic properties of σ- LFSR over F4 are studied, such as nonlinearity, cycle structure distribution of state graph, the largest period and counting problem related. The conclusions are as follows:The coefficient ring of σ-LFSR is isomorphic to the matrix ring over F,. The cycle structure of σ- LFSR is consistent with that of the determinant of the corresponding polynomial matrix if and only if the feedback polynomial of - LFSR does not contain nontrivial factor over F2,. The counting formula of the number of σ- LFSR with inconsistent cycle structure is also showed in that part. The period of σ-LFSR with degree n is maximum if and only if the determinant of the corresponding polynomial matrix is the primitive polynomial with order 2n over F2,.

本文研究了有限域F_4上的σ-LFSR的一些基本性质，如非奇异性、状态图的圈结构的分布、最大圈的充要条件及相关的计数问题等，得到以下结论：σ-LFSR的系数环同构于F_2上的矩阵环；σ-LFSR的状态图的圈结构与对应的多项式矩阵的行列式的圈结构一致的充要条件为σ-LFSR的反馈多项式不含有非平凡的F_2上的因式，给出了圈结构不一致的σ-LFSR的计数公式； n次σ-LFSR周期达到最大，当且仅当对应多项式矩阵的行列式为F_2上的2n次本原多项式。

But when we mine commensuration groundwater, the falling velocity water level and range of the deep hydrous stratum are bigger than the shallow hydrous stratum. And the quantity of subsidence is not obvious different. 2. Analyzing the relation between the stratum of groundwater and land subsidence, with the depth of aquifer bed increased, the proportion that the released water because of compressibility of strata possessed become bigger, and it cause land subsidence more serious. 3. The physical and mechanical properties and the consolidation state of stratum do not become better with the depth increased.

依据： ①一般情况下，随深度增加，地层的压缩性会渐下；但是开采同量的地下水，其水位下降的速率及幅度深部含水组比浅部含水组要大的多，两者引起的沉降量不会有明显的差别；②从地下水开采资源组成与地面沉降关系分析，含水层深度越深，其中的压密释水量所占的比例也越大，造成的地面沉降也越严重；③地层的物理力学性质及固结状态，随深度的增加，也不完全是越来越好。

A ∞-semimodule over a ∞-semiring is introduced in this paper, based on which, the absorb subsemimodule and the congruence relation on a ∞-semimodule are proposed.

引入∞-半环上的∞-半模的概念，在此基础上引入吸收子半模以及∞-半模上的同余关系等概念，得到一些初步性质。

At the same time, some properties of rough Set in quotient ring are given and proved. The fifth chapter is Rough Primary Ideals and Rough Fuzzy Primary Ideals in Semigroups, the concept of rough primary ideals and fuzzy rough primary ideals in semigroups are introduced. Under the condition of the complete congruence relation, a rough set of a primary ideal in semigroups is proved to be its primary ideal.

同时，在商环中讨论了粗糙集的一些性质，并给出这些结论的严格证明；第五章是半群中的粗准素理想和粗模糊准素理想，首次提出了半群中的粗准素理想与粗模糊准素理想的概念，证明了在完备同余关系下，半群中准素理想的粗糙集是准素理想。

The main purpose of this paper is to study some properties of Fibonacci numbers and give some new identities and interesting congruence expressions.

研究了Fibonacci数的一些性质，并给出了一类新的恒等式和一些有趣的同余式。

Relation grid is isomorphic to the actual social network, so it satisfies the small-world model with members short chain connected.

关系网格与现实的社会关系网络是同构的，因此满足小世界模型并具有内部成员短链连接的性质。

"Consubstantial:Of the same substance, nature, or essence."

同体的：具有相同成分、性质或本质的。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。