简论汉乐府民歌对“家”的表现及其成因

与《诗经》、楚辞相比，汉乐府民歌无论在艺术形式还是思想内容上都有重大变化，其中对“家”这一社会现象的表现在汉乐府民歌中尤为突出。此种现象与两汉的社会结构、统治思想和诗歌理念无疑都有极为密切的联系。     

On Resolvable Difference Families

A Steiner 2-design is said to be G-invariantly resolvable if admits an automorphism group G and a resolution invariant under G. Introducing and studying resolvable difference families, we characterize the class of G-invariantly resolvable Steiner 2-designs arising from relative difference families over G. Such designs have been already studied by Genma, Jimbo, and Mishima [13] in the case in which G is cyclic. Developping their results, we prove that any (p, k, 1)-DF (p prime) whose base blocks exactly cover p–1/k(k–1) distinct cosets of the k-th roots of unity (mod p), leads to a Ckp-invariantly resolvable cyclic (kp,k,1)-BBD. This induced us to propose several constructions for DF's having this property. In such a way we prove, in particular, the existence of a C5p-invariantly resolvable cyclic (5p, 5, 1)-BBD for each prime p = 20n + 1 < 1.000.     

Existence of (q,6,1) Difference Families withq a Prime Power

The existence of a (q,k,1) difference family in GF(q) has been completely solved for k=3, 4, 5. For k=6 fundamental results have been given by Wilson. In this article, we continue the investigation and show that the necessary condition for the existence of a(q,6,1) difference family in GF(q), i.e. q 1 (mod 30) is also sufficient with one exception of q=61. The method of this paper is to lower Wilson's bound by using Weil's theorem on character sums to exploit Wilson's sufficient conditions for the existence of (q,6,1) difference families. The remaining gap is closed by computer searches.     

环境与家族:塔吉克人文化的特点

自然环境对人类的社会组织形式会有一定的影响。当一个人类群体的生产力水平较低又处于一个恶劣的自然环境中时,这种影响就较大,他们就只能选择那种能有效地帮助他们抵御自然环境所带给他们的重重压力和灾难的社会组织形式,血缘家族就是这样的一种组织形式。帕米尔高原上的塔吉克人所处的环境与其传统的社会组织,正可以说明以上的道理。     

关于分担值的正规族和唯一性定理

设F是单位圆盘△上的亚纯函数族,α是一个非零的有穷复数,k是正整数,如果(?)f∈F,满足 1)f的零点重级≥k 1; 2)f和f(k)IM分担α,则F在△上正规. 此外,还证明了相应于正规函数以及整函数的唯一性定理方面的的结果.     

文化与自我--清代满族女性家庭地位特点的人类学阐释

清代满族女性的家庭地位是具有双重特征的。试图根据心理人类学中关于化与自我的研究和理论，通过对满族女性内在意识和社会意识的矛盾与平衡作相关分析，从人类学的理论视角提升对满族妇女家庭地位和满族化的认知。     

大风险分析中Stugent分布的M-估计和最大逼近估计

对于大风险分析中的小自由度Stugent分布，本文研究了M-估计和最大逼近估计，证明了关于对^^δn和δ^2 n的估计定理．     

关于哈密顿回路的一个求解方法及必要条件

首先给出哈密顿回路的定义以及子圈和圈族的定义，然后讨论了哈密顿回路的一个求解方法和一个必要条件。     

拟牛顿算法的基本性质

介绍无约束优化的Broyden算法族的基本性质，即算法产生的校正矩阵{Bk}或{Hk}的正定传递性以及产生的迭代方向的共轭性，这些性质是其他优化算法不具备的，还介绍了Huang算法族及它的重要性质．     

Regularization for Ill-posed Cauchy problems associated with generators of analytic semigroups

This paper is concerned with the ill-posed Cauchy problem associated with a densely defined linear operator A in a Banach space. Our main result is that if −A is the generator of an analytic semigroup, then there exists a family of regularizing operators for such an ill-posed Cauchy problem by using the quasi-reversibility method, fractional powers and semigroups of linear operators. The applications to ill-posed partial differential equations are also given.