图集上的一种新运算及若干性质

文章建立了图集上一种新运算并给出此运算的若干性质,尤其有两条值得注意的结论：Euler图经过该运算后依然是Euler图,Euler图经该运算后成为复杂的Hamilton图。     

Analogy in William Rowan Hamilton's New Algebra

This essay offers the first analysis of analogy in research-level mathematics, taking as its case the 1837 treatise of William Rowan Hamilton. Analogy spatialized Hamilton's key concepts—knowledge and time—in culturally familiar ways, creating an effective landscape for thinking about the new algebra. It also structurally aligned his theory with the real number system so his objects and operations would behave customarily, thus encompassing the old algebra while systematically bringing into existence the new.     

Perception of value congruence and interethnic behavioral intentions

Two studies were conducted to investigate the effects of ethnocentrism, cognitive differentiation and extent of contact/information experienced with three stimulus groups varying in ethnicity on (a) respondents' perceptions of similarity in personal values between themselves and members of these ethnic groups, and (b) social distance orientations toward these groups. None of the predictor variables systematically induced differential attributions of value similarity. Ethnocentrism was found to be the most potent determinant of social distance, with low ethnocentric persons showing less social distance toward ethnic outgroups. The results were generally compatible with the notion of social competition proposed by Turner (1975) as a relevant factor in interethnic relations and are discussed in relation to the belief differences theory of prejudice (Rokeach, Smith & Evans, 1960) and the concept of positive prejudice (Dienstbier, 1970; Dutton, 1976).     

基于联合Caputo导数的分数阶Hamilton力学和分数阶正则变换

由于分数阶微积分在科学和工程的诸多领域的成功应用,传统的分析力学理论和方法正在不断地拓展到含有分数阶微积分的系统。基于联合Cuputo分数阶导数,文中建立了分数阶Hamilton原理,并由分数阶Hamilton原理直接导出了分数阶Hamilton正则方程;建立了分数阶力学系统的正则变换理论,给出了四种基本形式的分数阶正则变换,并通过算例说明母函数在分数阶正则变换中的作用。     

均衡二部图中一个有限制条件的2-因子

本文证明了在2n阶的均衡二部图中,若满足2n大于正数sk,其中s大于等于3,k大于等于1.如果图G中任意两点的度数之和的最小值满足文章中所给的条件,则G有一个2-因子至少含一个长至少为2s的圈.     

Hamilton四元数代数的三种同构表示

给出了Hamilton四元数代数的三种同构表示及其证明.     

THE FORM INVARIANCES AND THE HOJMAN CONSERVED QUANTITIES FOR HAMILTON SYSTEMS

The form invariance and the Lie symmetry are defined for Hamilton systems. A relation between the form invariance and the Lie symmetry is derived. The Hojman conserved quantity is constructed by using the generators of Lie symmetry. An approach to find Hojman conserved quantities in terms of the form invariance is presented. An example is given to illustrate the application of the results.     

In the Ellison Tradition: In/Visible Bodies of Adolescent and YA Fiction

When Ralph Ellison’s Invisible Man was published in 1952, he could not have known the impact his metaphor of invisibility would have on adolescent and YA literature. However, upon closer inspection, the importance and prevalence of his metaphor becomes evident. Authors of adolescent and YA literature routinely use the metaphor as an intertextual shortcut to discuss issues that shape adolescent subjectivity, which is demonstrated through an examination of Sapphire’s Push, Virginia Hamilton’s The Planet of Junior Brown, and Robert Cormier’s Fade.

四角系统的Z-变换图的Hamilton路

如果G表示一个四角系统,则G的Z-变换图Z(G)指如下定义的图:图Z(G)的所有顶点对应于四角系统G中的所有完美匹配,且Z(G)中的两个顶点有一条边相连当且仅当它们在G中对应的两个完美匹配的对称差恰好形成G的一个四角形.利用图同构的方法,证明了两类四角系统(L-四角系统和Z-四角系统)的Z-变换图必含有一条Hamilton路.     

n维立方体的性质

n维立方体是一个n-正则的二部图,既有实际应用价值又有理论价值。文中重点研究了n维立方体的Hamilton性质及可平面性质,证明了n维立方体是Hamilton图及非平面图,并且给出了一个具体构造Hamilton圈的方法。