Eu~（3＋）、Tb~（3＋）与1－乙酰乙酰吲哚、1，10－邻菲啰啉二元、三元体系在溶液中荧光光谱研究

观察了以不同比例溶解在乙醇中的ＥＵ（３＋）、Ｔｂ（３＋）、１－乙酰乙酰吲哚（ＨＬ）和１，１０－邻菲啉（Ｐｈｅｎ）的荧光光谱．结果表明ＨＬ能有效地把吸收的能量传递给Ｔｂ（３＋），而不能有效地传递给Ｅｕ（３＋）．讨论了ＨＬ和Ｐｈｅｎ对Ｅｕ（３＋）、Ｔｂ（３＋）的配位作用及其对Ｅｕ（３＋）或Ｔｂ（３＋）所组成的三元体系中敏化发光性能的影响．     

一个来自振动理论反问题的矩阵方程

§ 1　ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＲｎ×ｍｄｅｎｏｔｅｔｈｅｒｅａｌｎ×ｍｍａｔｒｉｘｓｐａｃｅ ,Ｒｎ×ｍｒ ｉｔｓｓｕｂｓｅｔｗｈｏｓｅｅｌｅｍｅｎｔｓｈａｖｅｒａｎｋｒ ,ＯＲｎ×ｎｔｈｅｓｅｔｏｆａｌｌｎ×ｎｏｒｔｈｏｇｏｎａｌｍａｔｒｉｃｅｓ,ＳＲｎ×ｎ(ＳＲｎ×ｎ≥ ,ＳＲｎ×ｎ>)ｔｈｅｓｅｔｏｆａｌｌｎ×ｎｒｅａｌｓｙｍｍｅｔｒｉｃ (ｓｙｍｍｅｔｒｉｃｐｏｓｉｔｉｖｅｓｅｍｉｄｅｆｉｎｉｔｅ ,ｐｏｓｉｔｉｖｅｄｅｆｉｎｉｔｅ)ｍａｔｒｉｃｅｓ.ＴｈｅｎｏｔａｔｉｏｎＡ>0 (≥ 0 ,<0 ,≤ 0 )ｍ…     

H^p（D）函数的两个新刻划

证明了关于单位圆盘D上的H^p函数的两个新的等价命题。     

Endpoint estimates for certain commutators of fractional and singular integrals

In this paper, the authors obtain the endpoint estimates for a class of non-standard commutators with higher order remainders and their variants. Moreover, the authors show that these operators are actually not bounded in certain cases.

     

Average values of symmetric square -functions at the edge of the critical strip

Let be the set of all normalized newforms of weight 2 and level , and let be the symmetric square -function associated to . If is a prime, then there is a positive constant such that

This improves a recent result of Akbary, which requires in place of .

     

Noetherian PI Hopf algebras are Gorenstein

We prove that every noetherian affine PI Hopf algebra has finite injective dimension, which answers a question of Brown (1998).

     

Estimation of the mean lifetime in non-parametric model under modified type I censoring

The methods to estimate the means of the lifetimes under modified Type I Censoring are discussed, in which case the distribution function of the lifetimes is unknown and the information about the individuals is cut by the fixed timeC. As a slight modification, we suggest observing small percentage of the lifetimes to construct the estimations. These estimations are unbiased and consistent.     

A simple model for high fluence ultra-short pulsed laser metal ablation

The ultra-short laser metal ablation is a very complex process, the complete simulation of which requires applications of complicated hydrodynamics or molecular dynamics models, which, however, are often time-consuming and difficult to apply. For many practical applications, where the laser ablation depth is the main concern, a simplified model that is easy to apply but at the same time can also provide reasonably accurate predictions of ablation depth is very desirable. Such a model has been developed and presented in this paper, which has been found to be applicable for laser pulse duration up to 10 ps based on comparisons of model predictions with experimental measurements.