A class of non-degenerate solvable Lie Algebras and their derivations

The author constructs a class of indecomposable non-degenerate solvable Lie Algebras corresponding to a Cartan matrix A over the field of complex numbers and we determine all their derivations.     

On perturbation bounds for orthogonal projections

In this paper, we present some new perturbation bounds for the orthogonal projections onto the column and row spaces of a matrix, which improve some existing results. Numerical examples are presented to illustrate our results.     

梁受正弦分布压力作用的解析解

对梁受正弦分布压力作用的情况，本文以矩形截面简支梁为例，通过构造满足所有边界条件和双调和方程的应力函数给出了相应的解析解，这为求解梁受任意分布压力作用的解的问题打下了基础。     

CBMO estimates for multilinear Hardy operators

The purpose of this paper is to study the multilinear Hardy operators in higher dimensional cases and establish the CBMO estimates for multilinear Hardy operators on some function spaces, such as the Lebesgue spaces, the Herz spaces and the Morrey-Herz spaces.     

废弃植物油对破囊壶菌生产多不饱和脂肪酸的影响

为研究废弃植物油对破囊壶菌生产PUFA的影响, 以混合葵花籽油和橄榄油高温烹煮后的废弃油为研究对象, 比较了在常规培养基中添加植物油和废弃植物油前后破囊壶菌Thraustochy-trium sp.S-3的繁殖变化和脂肪酸组成变化. 结果表明, 添加烹调前后的植物油均能对破囊壶菌生长产生明显的促进作用, 单位体积培养基中的总脂量可增加1倍左右; 同时, 破囊壶菌的脂肪酸组成跟植物油本身的脂肪酸组成有着明显正相关, 添加废弃植物油后, 能明显增加破囊壶菌合成DHA等PUFA的能力, 同时增加了破囊壶菌中十八碳不饱和脂肪酸的含量. 研究结果对利用废弃植物油类作为碳源应用到破囊壶菌产业化生产PUFA提供了理论依据.     

Le Système d'Euler de Kato en Famillie(Ⅱ)

This article is the second article on the generalization of Kato's Euler system. The main subject of this article is to construct a family of Kato's Euler systems over the cuspidal eigencurve, which interpolate the Kato's Euler systems associated to the modular forms parametrized by the cuspidal eigencurve. We also explain how to use this family of Kato's Euler system to construct a family of distributions on Z_p over the cuspidal eigencurve; this distribution gives us a two-variable p-adic L function which interpolate the p-adic L function of modular forms.     

强混合样本下回归加权估计的一致渐近正态性

在强混合样本下,讨论固定设计回归模型的加权函数估计的一致渐近正态性,给出一致渐近正态性的收敛速度,这个速度接近n-1／6．     

Domination number in graphs with minimum degree two

A set D of vertices of a graph G = （V, E） is called a dominating set if every vertex of V not in D is adjacent to a vertex of D. In 1996, Reed proved that every graph of order n with minimum degree at least 3 has a dominating set of cardinality at most 3n/8. In this paper we generalize Reed＇s result. We show that every graph G of order n with minimum degree at least 2 has a dominating set of cardinality at most （3n ＋IV21）/8, where V2 denotes the set of vertices of degree 2 in G. As an application of the above result, we show that for k ≥ 1, the k-restricted domination number rk （G, γ） ≤ （3n＋5k）/8 for all graphs of order n with minimum degree at least 3.     

k-Hessian方程径向解的存在性与多解性

该文主要研究了 k-Hessian方程的Dirichlet问题.利用Leggett-Williams不动点定理,得到了一些关于非平凡径向解的存在性与多解性结论.