A FUNDAMENTAL SOLUTION FOR THE LAPLACE OPERATOR ON THE QUATERNIONIC HEISENBERG GROUP

In this paper, the author studies the Laplace operator on the quaternionic Heisenberg group, construct a fundamental solution for it and use this solution to prove the L-p-boundedness and the weak (1-1) boundedness of certain singular convolution operators on the quaternionic Heisenberg group.

On fundamental solution for powers of the sub-Laplacian on the Heisenberg group

We discuss the fundamental solution for m-th powers of the sub-Laplacian on the Heisenberg group. We use the representation theory of the Heisenberg group to analyze the associated m-th powers of the sub-Laplacian and to construct its fundamental solution. Besides, the series representation of the fundamental solution for square of the sub-Laplacian on the Heisenberg group is given and we also get the closed form of the fundamental solution for square of the sub-Laplacian on the Heisenberg group with dimension n = 2, 3, 4.

FUNDAMENTAL GROUPS OF CLOSED POSITIVELY CURVED MANIFOLDS WITH ALMOST DISCRETE ABELIAN GROUP ACTIONS

Let M be a closed n-manifold of positive sectional curvature. Assume that M admits an effective isometrical T1× Zpk-action with p prime. The main result of the article n＋1 for n 〉 5, then there exists a positive constant p（n）, is that ifk=lforn=3or k〉 n＋1/4 for n≥5,then there exists a positive constant p（n）,depending only on n, such that π1 （M） is cyclic if p ≥ p（n）.

On Fundamental Group of a Certain Class of Welded Knots

In this paper, a certain class of welded knots K;is considered. By calculating the commutators subgroup of fundamental group Gn of welded knot K;,n ∈ Z;, we show that these welded knots are not equivalent to each other and they are all not classical knots. Secondly, we study some properties of Gn and obtain that Gn is linear, residually finite and Hopfian.

The Homotopical Proof of Π₁(<i>S</i>, <i>x_o</i>) as a Fundamental Group in a General Interval

The aim of this study is to establish that, the equivalent class which is made up of homotopic loops is a group with respect to in the general interval [m,n]. The study proved from homotopical point of view that is associative, has an identity and inverse function. The study established with proof that is a fundamental group in [m,n] ,.

Bounding Topology via Geometry,A-Simple Fundamental Groups

We call a group A-simple,if it has no non-trivial normal abelian subgroup.We will present finiteness results in controlled topology via geometry on manifolds whose fundamental groups are A-simple.

Orbifold Fundamental Group and Deck Translation Group

In this paper, we define the notions of orbifold loop and orbifold road, with which, we reformulate the definition of orbifold fundamental group and deck translation group. We show that, for each orbifold, the orbifold fundamental group is isomorphic to the deck translation group.

The p.q.-Baer Property of Skew Group Rings under Finite Group Action

In this paper, Let R is a ring, G be a finite group of ring automorphisms of R. R*G denote the skew group ring of R under G. We investigate the right p.q.-Baer property of skew group rings under finite group action, Assume that R is a semiprime ring with a finite group G of X-outer ring automorphisms of R, then 1) R*G is p.q.-Baer if and only if R is G-p.q.-Baer;2) if R is p.q.-Baer, then R*G is p.q.-Baer.

Online Social Skills Group Training for Adolescents and Young Adults with 22q11.2 Deletion Syndrome (22q11.2DS)

Somatic, cognitive and psychiatric obstacles contribute to social impairment in 22q11.2DS and prevent adequate responses during interactions. We adapted the autism-specific SOSTA-FRA program for use during online group sessions with geographically-isolated 22q11DS adolescents or adults. The 12 weekly sessions targeted communication, emotional awareness, and reciprocity. Twenty-two participants were evaluated on behaviour, social responsiveness, and cognition pre- and post-intervention. Parents completed a questionnaire to ascertain whether the intervention met their needs. Parents were satisfied with the format and curriculum contents and reported improved emotional awareness, well-being, and reciprocity post-intervention. Pre-post results suggest large effects on social awareness and small to medium effects on social motivation. Results indicate that online social skills training is feasible and effective for individuals with 22q11.2DS.

The p.q.-Baer Property of Fixed Rings under Finite Group Action

A ring R is called right principally quasi-Baer (simply, right p.q.-Baer) if the right annihilator of every principal right ideal of R is generated by an idempotent. For a ring R, let G be a finite group of ring automorphisms of R. We denote the fixed ring of R under G by RG. In this work, we investigated the right p.q.-Baer property of fixed rings under finite group action. Assume that R is a semiprime ring with a finite group G of X-outer ring automorphisms of R. Then we show that: 1) If R is G-p.q.-Baer, then RG is p.q.-Baer;2) If R is p.q.-Baer, then RG are p.q.-Baer.

基于DSOGI-PLL与ANF-LPF的i_(p)-i_(q)三相谐波检测方法

随着分布式电源大规模接入电网,电力系统中频率波动、电压不平衡以及谐波畸变等问题日益严重。在这样不平衡和失真的电网条件下,传统i_(p)-i_(q)谐波检测法已不能满足工程需要。为解决这一问题,文中提出一种基于DSOGI-PLL与ANF-LPF的i_(p)-i_(q)三相谐波检测方法。一方面,采用DSOGI-PLL提高复杂电网下提取基波相位的能力;另一方面,采用一种具有选择性谐波滤波能力的改进结构LPF,来提高谐波检测的抗干扰能力。结果表明,所提方法能够在复杂电网条件下完成三相谐波检测。

MULTI-VALUED TOTALLY QUASI-φ-ASYMPTOTICALLY NONEXPANSIVE SEMI-GROUPS AND STRONG CONVERGENCE THEOREMS IN BANACH SPACES

The purpose of this article is first to introduce the concept of multi-valued to- tally Quasi-φ-asymptotically nonexpansive semi-groups, which contains many kinds of semi- groups as its special cases, and then to modify the Halpern-Mann-type iteration algorithm for multi-valued totally Quasi-cS-asymptotically nonexpansive semi-groups to have the strong convergence under a limit condition only in the framework of Banach spaces. The results presented in this article improve and extend the corresponding results announced by many authors recently.

基于p-q变换的改进i_p-i_q基波正序有功和无功电流检测算法

针对非理想电压下不能获取基波正序有功和无功电流的问题,通过对三相电压和电流并行地进行p-q坐标变换和低通滤波以降低系统延时,并获取三相基波正序电压和电流的综合相位信息,通过坐标反变换求出基波正序电流中的有功和无功分量,从而提出1种改进的ip-iq算法。研究结果表明:该算法在电网电压对称无畸变、电网电压不对称、电网电压同时存在畸变和不对称条件下,均能获取正确的基波正序有功和无功电流,为在有源电力滤波系统中实现对谐波电流、无功电流和不对称分量的综合补偿提供了合理的参考指令电流。

基于Q值选取的太阳同步回归轨道设计算法

太阳同步回归轨道既可以满足光照条件的要求，又可以满足时间分辨力的要求，是对地观测航天器首选轨道之一。Q值是将太阳同步轨道和回归轨道联系起来的桥梁，是太阳同步回归轨道设计时最先考虑的参数。通过对太阳同步轨道和回归轨道特性的分析，可以建立Q值与太阳同步回归轨道参数之间的数学关系，作为太阳同步回归轨道设计的依据。本文通过对轨道回归特性的分析，引入了设计太阳同步回归轨道Q值的方法。结合某航天任务的具体指标，利用Q值选取算法，在500～510km轨道高度范围内选取了一条轨道高度为502．59km的轨道。该轨道的回归周期为21d，平均重访周期为5d，是500-510km轨道高度范围内重访特性最优的太阳同步回归轨道。基于Q值选取的轨道设计算法从理论上找到了太阳同步轨道设计中的关键，为复杂的轨道设计工作提供了一个可靠而易行的方法。

基于RSM对Q矩阵相同的无锚题测验的等值

传统锚题-非等组设计下的测验等值,等值要求的满足具有主观性,并且由于锚题失效或难以获得等因素的影响,则该方法的使用受到了限制。因此,本研究基于规则空间模型的Q矩阵理论,生成两个Q矩阵相同但无锚题的测验的共同受测者,使用共同组设计,利用同时性估计的方法对测验进行等值,并考虑了作答失误率和测验结构对等值稳定性的影响。结果表明:共同组设计同时估计方法的等值稳定性取得了优于或等于锚题-非等组同时估计方法;失误率的增大也会导致等值稳定性的下降;并且不同的测验结构也对等值稳定性产生了影响,其中直线型和收敛型结构稳定性较好,发散型和无结构型较差。

不同控制权结构下内部并购对托宾Q值的影响

本文通过隶属于企业集团的上市公司在集团内部的并购事件,分析在不同的上市公司控制结构下,这些内部并购行为对公司价值指标——托宾Q值的影响。实证分析结果显示,股权集中度对内部并购公告后的公司价值有负向影响。第1大股东持股比例越高,内部并购公告后的公司价值越小,说明大股东更倾向于通过内部并购掏空上市公司,损害上市公司的价值。股权制衡度对内部并购公告后的公司价值有负向影响,说明其他大股东可能与第1大股东存在联盟或者未充分履行监督职责。上市公司实际控制人的控制权和现金流权的分离程度与内部并购公告后的公司价值无关。

Q-图的电阻距离

通过一类图操作可以得到图G的Q-图,记作Q(G),是在图G的每条边中插入一个新顶点ve,然后连接具有共同邻接顶点的新插入顶点得到一类复杂图;利用Q-图的Laplacian矩阵和Laplacian矩阵的群逆得到Q-图中任意两点之间的电阻距离.通过例子给出一些特殊图的Q-图的电阻距离.

地震波频散效应与反Q滤波相位补偿

本文以Futterman提出的地震波振幅衰减和相速度频散表达式为基础,从井震匹配的角度出发,推导了不进行反Q滤波、仅反Q滤波振幅补偿、仅反Q滤波相位补偿,以及反Q滤波相位与振幅同时补偿四种情况下,地震波速度频散与相速度及地震记录振幅谱间的表达式,并从理论上说明了反Q滤波相位补偿的必要性.通过相同观测系统,炸药震源和可控震源分别激发采集的零偏移距VSP资料实例,验证了本文所推导的速度频散表达式的合理性;通过井震标定实例,进一步说明了反Q滤波相位补偿,可有效消除地震子波速度频散,提升地面地震资料与零偏移距VSP走廊叠加剖面的匹配度,最终提高地震资料成果的可信度.

Q-测度法在合作网络性别研究中的应用

二分网络的Q测度方法是由Flom,Friedman,Strauss和Neaigus在2004年提出的。当一个无向连通网络中存在两个不同性质(性别,层次等)的子集团时,采用Q测度方法可以分析出两个子集团之间或子集团顶点之间的桥梁关系。将Q测度的思想转化为计算机语言,使其能在更为广泛的领域中运用。特别是当网络规模增大到一定程度以后,可以采用此算法计算出多个顶点的Q值。并用一个应用的实例,分析了一个中型的合作网络。

基于修正Q值的武当群片岩岩体质量分级方法研究

地下工程建设中经常会遇到地质背景条件特殊的围岩,需要建立与之相适应的岩体质量分级方法。文章结合Q分级方法的特点和不足,以鄂西北地区武当群片岩为例,分析了武当群片岩水敏性、各向异性、构造偏压、水平构造应力等特征;并在此基础上提出了考虑岩块强度、岩体完整性、地下水、地应力、片理面产状等因素的修正Q分级方法,得到了以地下水(出露情况、水压)、地应力(大小、与洞室轴线夹角)、片理倾角等为修正系数的Q′分级方法的计算公式。以十房高速通省隧道为例进行分析验证,分级结果与围岩的实际质量等级基本一致。研究结果可为复杂工程岩体质量分级方法的建立提供参考。