locally finite graph

The notion of base-countably paracompact space is introduced and some of its equivalent characterizations are obtained:(i)X is a base-countably paracompact space if there exsists an open basis B for X with |B|=ω(X) such that every countably open cover U={Ui}i∈N of X has a locally finite countabe refinement B′ by members of B,B′={Bi}i∈N and BiUi.

引入了基-可数仿紧空间的概念,给出基-可数仿紧空间的一些等价刻画,获得以下结果:(i)X是基-可数仿紧空间当且仅当存在X的一开基B,|B|=ω(X),对于X的每一可数开覆盖U={Ui}i∈N,都存在B′B,使得B′={Bi}i∈N是U的局部有限的可数开加细,且BiUi;(ii)设X是正规空间,X是基-可数仿紧空间当且仅当存在的一开基B,|B|=ω(X),使得X的每一可数开覆盖都存在由B中的元构成的局部有限的收缩。

Author mainly proves following:(1)X is a Base-paracompact space iff X is a Base-countably paracompact space and every open cover of X has a σ-locally finite open refinement by members of the basis which witnesses Base-countably paracompact space.

主要证明了如下结果:(1)X是基-仿紧空间当且仅当X是基-可数仿紧空间,并且X的每一开覆盖都存在满足X是基-可数仿紧空间的开基的元构成的σ-局部有限的开加细。

In [4], the authors have proved that if a locally finite group is a core-finite, then it .

文[4]证明了局部有限的Core-有限群是abelian-by-finite。

Let R=Z/pk Z is a finite local ring of module integer pk,Let D i=O Di - Di O ,Δ ={Pi∈ GL2 si ( R) | Pi D i Pi′- D i=B},and matrix B=pμBis a arbitrary alternate matrix with order2 siover R,where p is a prime and k>1 ,Di=diag{pri,… ,pri},0 <ri<k,ri<μ≤ k,si≥ 1 .

设 R=Z/pk Z是模整数 pk的有限局部环 ,Di=O Di-Di O ,B=pμB是 R上任意取定的 2 si阶交错阵 ,Δ={Pi∈ GL2 si( R) |Pi Di Pi′-Di=B},其中 Di=diag{pri,… ,pri},0

The following results have been given: let R be a ring and G be a locally finite group,if the group ring RG is a left G-morphic ring,then R is a left G-morphic ring;if the group ring RH is a left G-morphic ring for every finite subgroup H of G,then the group ring RG is a left G-morphic ring.

本文讨论了左G-morphic群环RG的性质,主要证明了以下结果:设R是一个环,G是一个局部有限群,如果群环RG是左G-morphic环,那么R是左G-morphic环;如果对G的每个有限子群H,群环RH是左G-morphic环,那么群环RG是左G-morphic环。

For every subgroup H of a locally finite group G, if H is a weakly semi-radicable group and H ≠ Hp for every p∈ π(H), then G is a locally nilpotent group and every Sylow p-subgroup of G is finite.

证明了:①如果局部有限群G的每一个子群H是弱半根群且对任意p∈π(H)满足H≠Hp,那么G是局部幂零群而且每一个Sylow p-子群是有限群。

Taking the set of all 3×3 alternate matrices over finite local ring Z/pmZ as the set of treatments.

利用有限局部环Z/pmZ上的全体3×3矩阵作为处理的集合,构作了有m个结合类的结合方案,并且计算出其参数。

Let H be a 3×3 alternate matrices over finite local ring Z/pmZ.

设H是有限局部环Z/pmZ上的3×3交错矩阵,通过确定H的标准形,计算出有限局部环Z/pmZ上合同标准形的3×3交错矩阵的个数nk,其中当0≤k

Nan jizhu takes the set of all 2× 2 alternate matrices over finite local ring as the set of treatments and obtains an association scheme with m associate classes,whose parameters are also computed.

南基洙利用有限局部环上的2阶交错矩阵构作了多个结合类的结合方案,并计算了参数。

On locally finite collections in fuzzy topological spaces (Ⅱ)

模糊拓扑空间中的局部有限族(Ⅱ)

The Finite Element and Experimental Regressive Analysis on Local Shrinkage of Steel Plates by Induction Heating;

钢板感应加热局部有限元及实验回归分析

Local linearization of finite-rank operator in global analysis

全局分析中非线性有限秩算子的局部线性化

Hot applications helped to localize the infection.

热敷法有助于使发炎限于局部。

Weakly Co-cofinite Modules, Gorenstein Injective Modules and Local Cohomology;

弱余上有限模，Gorenstein内射模及局部上同调

Cyclic Codes over Finite Artin Local Principal Ideal Rings;

有限Artin局部主理想环上的循环码

Discussion of partial stress with secondarycalculation of finite element;

有限元二次计算局部集中应力的讨论

Local Discontinuous Galerkin Finite Element Methods for Allen-Cahn Equation

Allen-Cahn方程的局部间断Galerkin有限元方法

Research on vertical bearing capacity of partially inclined pile with finite element method

局部倾斜桩竖向承载力的有限元研究

Nonlinear finite element analysis on the local thinned elbow

含局部减薄弯头的非线性有限元分析

The establishment of 3D-FE model libraries for the elements of the RPD

可摘局部义齿各部件三维有限元模型库的建立

A Hybrid Finite Element Analysis of Singular Stress Fields around an Irregular Inclusion Corner

异形夹杂角端部局部奇异场杂交有限元分析

The Overcomes on the Inherent Limitation in Enterprise’s Internal Control--Based on "limited rationality" Hypothesis of Behavior Economy;

企业内部控制固有局限的克服——基于行为经济学的“有限理性”假定

Finite Element Methods for A Nonlocal Problem in American Option Valuation

美式期权定价中非局部问题的有限元方法

The head is whitish with some fine streaking restricted to nape.

头部全白，仅有一些局限于后颈的纤细纵纹。

Finite Element Simulation of Strain Localization Based on Cosserat Continuum Model;

基于Cosserat连续体模型的应变局部化有限元模拟

Finite Element Theory and Application of Strain Localization of Rock and Soil;

岩土应变局部化的有限单元理论与应用

The Design of the Drilling String and the Casing String of the Stepped Horizontal Well;

地应力有限元分析与局部套损机理研究