一次同余方程组的一种矩阵解法

同余方程组是数论中一个极为有用的课题。文中考虑的是具有一个未知数而具有不同的模的一次同余方程组。一般可以用中国剩余定理或者递推算法等方法给出一次同余方程组的解法。利用矩阵的初等变换和矩阵的Sm ith标准形给出了求解一次同余方程组的一种矩阵解法。     

双循环半群上的群同余

为探讨双循环半群上的同态核,从双循环半群上的同余关系出发,讨论双循环半群关于这类同余的交做成的商群,刻画了这种商群的具体元素,给出双循环半群到整数加法半群的同态映射.结果证明双循环半群上的同态核是最小群同余,且这类特殊同余的交也是最小群同余.     

关于费马数的若干性质

根据费马数的定义探究它的一些结论,借助中国剩余定理,得出费马数的若干性质.     

Probabilistic Barbed Congruence

This paper defines a probabilistic barbed congruence which turns out to coincide with observational equivalence in a probabilistic extension of CCS. Based on this coincidence result, we provide a sound and complete axiomatisation for the barbed congruence in a finite fragment of probabilistic CCS.     

Therapists’ use of congruence in nondirective play therapy and filial therapy.

Although the U.S. child-centered approaches of Garry Landreth and Louise Guerney have the same principles and practice skills as nondirective play therapy as practiced by therapists trained at the University of York, there are a few differences in their approach. Therapists’ practice of “congruence” is actively encouraged for York-trained therapists but not for Landreth and Guerney-trained therapists. The theoretical and practice rationales for expressing congruence that underlie the York approach are examined here, as well as potential pitfalls. Examples of therapists and parents verbally expressing their congruent feelings in therapy are given from both play therapy and filial therapy practice. Special attention is paid to the need for and uses of congruence when helping children and young people who were maltreated. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Congruence/genuineness.

Congruence or genuineness is a relational quality that has been highly prized throughout the history of psychotherapy, but of diminished research interest in recent years. In this article, we define and provide examples of this attribute of the therapy relationship and present an original meta-analytic review of the empirical literature showing its relation to improvement. Analysis of 16 studies (k), representing 863 patients (N), resulted in a weighted aggregate ES (r) of .24 (p = .003; 95% CI = .12 to .36). Moderators of the association between congruence and treatment outcome are examined, and limitations of the extant research are discussed as well. In closing, we advance several therapist practices that are likely to foster congruence and thus improve psychotherapy outcomes. (PsycINFO Database Record (c) 2011 APA, all rights reserved)     

D''Alembeft定理中的旋转轴和旋转角度

一般运动分解为先平移，求得二重点之后，再旋转；通过对空间及矩阵秩的分析，证明了旋转轴的惟一性。并对射影几何中文字描述的达兰倍尔定理^[1]建立了解析表达式，给出了过二重点的旋转轴方位和旋转角度的计算公式，使得二个同向不重合的合同形体经过一次旋转达到重合；具有既可以图解，又能精确计算的特点。     

A new geometrical approach to one-parameter spatial motion

The geometry and kinematics of one-parameter dual spherical motions is presented using Study’s dual-line coordinates. The relations between invariants of the axodes are expressed in simple form with geometrical reasoning and explanation. In terms of this, the dual version of associated space curves is demonstrated for a ruled surface to be associated with the axodes of the motion. The relative motion between the axodes is used for deriving the geometry and kinematics of the paths instantaneously traced in the fixed space by a line associated with the moving axode. Especially, the distribution parameter and the inflection-line congruence are investigated. Furthermore, a new metric is developed and used to investigate the geometrical properties and kinematics of line trajectory as well as Disteli axis. Finally, as an application an example is put forward and explained in detail.     

An experimental analysis of role behavior.

"Six Ss, equated for age, conformance of expectation of the role of daughter in contemporary American culture, and congruence of self with the daughter role, each engaged in brief enactment of the role of daughter. The Ss varied systematically in role-taking aptitude as assessed by a simple face-valid As-If procedure." The following hypotheses are tested and supported by the data: "role-taking aptitude and validity of role-enactment are positively correlated; role-taking aptitude and self-constancy following role-enactment are negatively correlated; the shift in self-conception following role-enactment is in part, a function of the specific role enacted; and, finally, role-taking aptitude and a social adjustment variable are positively correlated." (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

人际协同视角下CEO包容型领导与创业绩效的关系研究

采用194份合伙人-CEO配对数据,探讨了新创企业CEO包容型领导风格对创业绩效的影响,尤其是考察了地位冲突的中介作用以及目标一致性的调节作用。结果发现:(1)CEO包容型领导对创业绩效具有显著正向影响;(2)创业团队内部地位冲突在CEO包容型领导与创业绩效之间起部分中介作用;(3)合伙人-CEO目标一致性调节了地位冲突对创业绩效的负面影响;(4)合伙人-CEO目标一致性对地位冲突在CEO包容型领导与企业绩效之间的中介作用具有显著调节作用。合伙人-CEO目标一致性越弱,以地位冲突为中介的CEO包容型领导对创业绩效的影响越强,反之亦然。