Group of Weakly Continuous Operators Associated to a Generalized Schrödinger Type Homogeneous Model

In this work, we prove the existence and uniqueness of the solution of the generalized Schrödinger type homogeneous model in the periodic distributional space P’. Furthermore, we prove that the solution depends continuously respect to the initial data in P’. Introducing a family of weakly continuous operators, we prove that this family is a group of operators in P’. Then, with this family of operators, we get a fine version of the existence and dependency continuous theorem obtained. Finally, we give some remarks derived from this study.

Study on the critical stress threshold of weakly cemented sandstone damage based on the renormalization group method

During the microstructural analysis of weakly cemented sandstone,the granule components and ductile structural parts of the sandstone are typically generalized.Considering the contact between granules in the microstructure of weakly cemented sandstone,three basic units can be determined:regular tetrahedra,regular hexahedra,and regular octahedra.Renormalization group models with granule-and pore-centered weakly cemented sandstone were established,and,according to the renormalization group transformation rule,the critical stress threshold of damage was calculated.The results show that the renormalization model using regular octahedra as the basic units has the highest critical stress threshold.The threshold obtained by iterative calculations of the granule-centered model is smaller than that obtained by the pore-centered model.The granule-centered calculation provides the lower limit(18.12%),and the pore-centered model provides the upper limit(36.36%).Within this range,the weakly cemented sandstone is in a phase-like critical state.That is,the state of granule aggregation transforms from continuous to discrete.In the relative stress range of 18.12%-36.36%,the weakly cemented sandstone exhibits an increased proportion of high-frequency signals(by 83.3%)and a decreased proportion of low-frequency signals(by 23.6%).The renormalization calculation results for weakly cemented sandstone explain the high-low frequency conversion of acoustic emission signals during loading.The research reported in this paper has important significance for elucidating the damage mechanism of weakly cemented sandstone.

Extension of Paraconsistent Many-Valued Similarity Method to Group Decision

The Paraconsistent Many-Valued Similarity (PMVS) method for multi-attribute decision making will be incomplete as a decision model if it is not extended to the realm of group decision-making. Therefore, in this article, our primary objective is to show how the paraconsistent many-valued similarity method can be used to solve group decision-making problems involving choice making or ranking of a finite set of decision alternatives. Moreover, since weights are very important parameters in multi-attribute decision-making, we have introduced the Borda rule to calculate the weights of experts and that of every criterion under consideration. To demonstrate how the proposed method works, a numerical example on energy sources of an economy from the points of view of a group of experts is investigated. Further, we compare the results of this new approach with that of fuzzy TOPSIS group decision-making method to illustrate the robustness and effectiveness of the former.

Endpoints of Multi-Valued Weak Contractions on the Metric Space of Partially Ordered Groups

The present work considers the endpoint in the abstract metric space. It firstly introduces the metric space of partially ordered groups and the metric space of partially ordered modules, respectively;and defines the convergence of sequences and the multi-valued weak contractions, etc., on the introduced space. And then, with the methods of functional analysis and abstract algebra, it successively establishes an endpoint theorem for the metric space of partially ordered groups and an endpoint theorem for the metric space of partially ordered modules. The contributions of this article extend the theory of cone metric space constructed by Huang and Zhang (2007) and some recent results on the fixed point and endpoint theory, such as the endpoint theorem given by Amini-Harandi (2010).

Weak Isomorphism of Finite Group

On the basis of the quasi-isomorphism of finite groups, a new mapping, weak isomorphism, from a finite group to another finite group is defined. Let G and H be two finite groups and G be weak-isomorphic to H. Then G≌H if G satisfies one of the following conditions. 1） G is a finite Abelian group. 2） The order of G is p^3. 3 ） The order of G is p^n＋1 and G has a cyclic normal subgroup N = 〈a〉 of order p^n. 4） G is a nilpotent group and if p^││G│, then for any P ∈ Sylp （G）, P has a cyclic maximal subgroup, where p is a prime; 5） G is a maximal class group of order p4（p〉3）.

An entropy-based multi-criterion group decision analysis method of selecting the optimum weak-subgrade treatment

Proper treatment of weak subgrade soil is very important to building a highway of good quality. We proposed an entropy-based multi-criterion group decision analysis method for a group of experts to evaluate alternatives of weak subgrade treatment,with an aim to select the optimum technique which is technically,economically and socially viable. We used fuzzy theory to analyze multiple experts' evaluation on various factors of each alterative treatment. Different experts' evaluations are integrated by the group eigenvalue method. An entropy weight is introduced to minimize the negative influences of subjective human factors of experts. The optimum alternative is identified with ideal point discriminant analysis to calculate the distance of each alternative to the ideal point and prioritize all alternatives according to their distances. A case study on a section of the Shiman Expressway verified that the proposed method can give a rational decision on the optimum method of weak subgrade treatment.

“组强村弱”结构下的征地博弈及启示--基于赣西H村的考察

延续既有征地研究中利益博弈的视角,研究发现“村庄治理结构”是影响征地博弈样态的独立因素。区别于将行政村默认为利益博弈中的村级主体,研究关注“组强村弱”治理结构下小组作为博弈主体的征地实践。基于赣西H村的实证分析发现,“组弱村强”治理结构的产生与村庄分布形态、宗族认同和土地集体所有等因素有关。它对征地博弈的影响在于:对外博弈中,小组因一致行动能力而具备更强的议价能力;在组内博弈中,小组具备排除行政能力干预、自主决定利益分配的空间,这种宽松的环境加剧了利益分化的群体之间的利益博弈。以小组为单位进行的双层博弈导致村庄公共利益消失、村庄认同弱化以及村庄矛盾激化等一系列后果,动摇了村社共同体的根基,由此产生的纠纷矛盾对基层治理能力提出挑战。

弱体质大学生体育教学困境及改进路径研究——基于供给侧视角

弱体质大学生群体是各大高校的一个特殊群体,其身体特殊性给高校体育教学工作带来了非常大的挑战,满足弱体质大学生群体体育需求,并促进其体育参与及身心健康发展,成为高校体育教学的历史使命。采用文献资料法、逻辑分析法,对弱体质大学生群体公共体育教学进行研究分析。研究发现,弱体质大学生群体公共体育存在以下问题:政策制度供给矛盾;课程供给缺乏合理性;教学内容供给范围小,选项供给少;教师供给不足,缺乏专业知识储备;体育教学评价失公。改进思路:优化政策法规供给,保障弱体质大学生群体享有体育教育的权利及义务;优化课程供给,实现体育课程均等化;优化教学内容供给,满足个体需求;推进体育师资队伍建设,优化人才资源供给;构建科学评价体系,推动评价体系供给侧改革。

斜群环上的Gorenstein AC平坦模

为研究在可分扩张下Gorenstein AC-平坦模在斜群环中的同调性质。在R^(σ)G→R^(σ)H是斜群环的可分扩张条件下,证明了限制函子和诱导函子保持模的FP_(∞)-内射、level和Gorenstein AC-平坦等同调性质。若Gorenstein AC-平坦模类关于扩张封闭,斜群环R^(σ)G和R^(σ)H具有相等的弱Gorenstein AC整体维数。

高校大学生体质弱势群体参与体育锻炼的影响因素研究——基于社会生态学理论视角

为探究高校大学生体质弱势群体参与体育锻炼的影响因素,采用文献资料法、问卷调查法、数理统计法对高校大学生体质弱势群体参与体育锻炼的影响因素进行调查分析,在此基础上,运用SEM结构方程模型进行影响因素模型构建,最终确立了拟合度较佳的包含四个维度以及59个观测指标的影响因素模型。研究认为:大学生体质弱势群体参与体育锻炼受家庭、学校、社区和个人因素的影响。其中,学校因素对大学生体质弱势群体参与体育锻炼影响最大,其次为家庭因素,再次为个人因素,最后是社区因素。在学校因素中,对大学生体质弱势群体参与体育锻炼影响的大小关系依次为“学校教学活动”“学校体育教师教学能力”“学校体育锻炼氛围”;在家庭因素中,“父母对我参加体育锻炼支持程度”影响最大;个人因素中,“自身的身体条件”“个人对体育锻炼的兴趣和目的”对大学生体质弱势群体参与体育锻炼的影响较大;在社区因素中,“社区体育设施分布”是影响大学生体质弱势群体参与体育锻炼的主要因素。

On Weakly s-Semipermutable Subgroups of Finite Groups

We prove that a finite group G is p-supersolvable or p-nilpotent if some sub- groups of G are weakly s-semipermutable in G. Several earlier results are generalized.

The Weakly Potency of Certain HNN Extensions of Nilpotent Groups

In this paper we give a characterization for certain HNN extensions oi suogroup separable groups with normal associated subgroups to be weakly potent. We then apply our result to show that certain HNN extensions of finitely generated nilpotent groups with central associated subgroups are weakly potent.

K_0-group Transmissibilities of the Tracial Limit of C*-algebras

We introduce the tracial limit A = （t4）lim n→∞（An,pn） and show that if K0（An） has ordered relation, K0（A） has ordered relation naturally. In the case that A is simple and K0（An） is weakly unperforated for every n, K0（A） is weakly unperforated too. Furthermore, the Riesz interpolation property of K0（An） can be transmitted to K0（A）.

A Riesz Product Type Measure on the Cantor Group

A Riesz type product as Pn=nЛj=1（1＋awj＋bwj＋1）is studied, where a, b are two real numbers with ｜a｜ ＋ ｜b｜ 〈 1, and {wj} are indepen- dent random variables taking values in （-1, 1} with equal probability. Let dw be the normalized Haar measure on the Cantor group Ω = （-1, 1}^N. The sequence of P,~dw 1 probability measures {Pndw/E（Pn） } is showed to converge weakly to a unique continuous measure on/2, and the obtained measure is singular with respect to dw.

Fundamental Groups of Graphs of Cyclic Subgroup Separable and Weakly Potent Groups

We give a characterization of the cyclic subgroup separability and weak potency of the fundamental group of a graph of polycyclic-by-finite groups and free-by-finite groups amalgamating edge subgroups of the form<h>×D,where h has infinite order and D is finite.

On weakly s-permutably embedded subgroups of finite groups （II）

Suppose that G is a finite group and H is a subgroup of G. H is said to be s-permutably embedded in G if for each prime p dividing ｜H｜, a Sylow p-subgroup of H is also a Sylow p-subgroup of some s-permutable subgroup of G; H is called weakly s-permutably embedded in G if there are a subnormal subgroup T of G and an s-permutably embedded subgroup Hse of G contained in H such that G = HT and H n T ≤ Hse. In this paper, we continue the work of [Comm. Algebra, 2009, 37： 1086-1097] to study the influence of the weakly s-permutably embedded subgroups on the structure of finite groups, and we extend some recent results.

A Critical Analysis of Group Work in Chinese University EFL Classes

In the past few years,group activities have been warmly welcomed by EFL(English as a foreign language)classes in Chi-na,but few studies have discussed it from a critical perspective.Thus,this study explores from students’experiences what and whythe strengths and weaknesses of group work in actual contexts appear.The findings reveal that Chinese learners regard group workas an effective interactive activity for language,personal,and emotional development.However,the possible pitfalls,such as pseu-dogroups,unequal participation,groupthink,L1(first language)influence may prevent learners from obtaining the benefits of CL(collaborative learning).Finally,some suggestions are given,with the purpose of creating a more suitable facilitative EFL classroomenvironment for future Chinese EFL teaching and learning.

Electro-Weak Gauge, Weinberg-Salam Angle

The main aim of this paper is to explain why the Weinberg-Salam angle in the electro-weak gauge group satisfies . We study the gauge potentials of the electro-weak gauge group from our wave equation for electron + neutrino. These potentials are space-time vectors whose components are amongst the tensor densities without derivative built from the three chiral spinors of the wave. The ?gauge invariance allows us to identify the four potential space-time vectors of the electro-weak gauge to four of the nine possible vectors. One and only one of the nine derived bivector fields is the massless electromagnetic field. Putting back the four potentials linked to the spinor wave into the wave equation we get simplified equations. From the properties of the second-order wave equation we obtain the Weinberg-Salam angle. We discuss the implications of the simplified equations, obtained without second quantification, on mass, charge and gauge invariance. Chiral gauge, electric gauge and weak gauge are simply linked.

粒子的强弱相互作用统一和Higgs机制

4种基本相互作用中都是短程的强弱相互作用更应该统一.二者除作用强度和距离不同外,主要特征是强相互作用是引力,而弱相互作用是斥力,由此导致衰变.笔者基于QCD等具体提出二者统一的一种可能方法,它们的耦合常数分别是负和正,并得到3维空间4种相互作用统一的图形.同时,讨论了Higgs机制和重整化群及其方程.

黔西南雄武金矿床元素地球化学特征及其地质意义

黔西南雄武金矿床为赋存在构造蚀变体(SBT)中的一中型金矿床,为了探讨雄武金矿床水岩交换过程中的元素迁移规律、矿质来源和成矿流体特征,本次研究基于ICP-MS对雄武金矿典型剖面上的8个矿石和近矿围岩样品进行微量元素和稀土元素测试,结果显示,在水岩反应过程中微量元素主要以Au、As、Sb、Hg、Li、U等元素进入围岩,Co、Ni、Sr、Hf、Th被带出容矿岩石为特征。经球粒陨石标准化后的稀土元素曲线主要表现为轻稀土相对富集的右倾型,围岩与矿石ΣLREE为24.69×10^(-6)~283.31×10^(-6),ΣHREE为3.94×10^(-6)~25.15×10^(-6),LREE/HREE为3.90~8.21,曲线显示典型的“四分组”特征,指示轻稀土分馏相对较强的特点,且矿石经历了显著的热液蚀变反应;根据矿石的Ce负异常和Eu正异常值,指示成矿流体部分来源于深部弱酸性和还原性温度较高(>250℃)的流体特征,成矿物质可能来源于深部。本次研究成果对于深入了解雄武金矿床成因具有重要意义。