Exact stability regions for quartic polynomials

Given an arbitrary real quartic polynomial, we find the exact region containing the coefficients of the polynomial such that all roots have absolute values less than 1.     

激发双参数变形奇偶相干态的压缩特性

研究了激发奇qs相干态a+mqsα〉oqs和激发偶qs相干态a+mqsα〉eqs的压缩特性,数值计算了参数m,s和q对qs压缩函数的影响.结果表明:(1)当q或s偏离1较远时,态a+mqsα〉oqs和a+mqsα〉eqs都能呈现出强烈的qs压缩,而且随着r²的增大qs压缩函数出现振幅和周期都递增的振荡现象,其振幅不但随q或s的减小而急剧增大,而且也随着m的增大而急剧增大,其周期随q或s的减小而增大但与m无关,从控制光场的压缩效应来看,场模上光子数增加数m可作为第三个独立的调节参数来使用;(2)对于大多数r,qs压缩函数对s的敏感度大于对q的敏感度,即通过调节参数s来控制光场的压缩效应要比通过调节参数q更有效.     

Weyl type theorems for operators satisfying the single-valued extension property

Let T be a bounded linear operator acting on a Banach space X such that T or its adjoint T^∗ has the single-valued extension property. We prove that the spectral mapping theorem holds for the B-Weyl spectrum, and we show that generalized Browder's theorem holds for f(T) for every analytic function f defined on an open neighborhood U of σ(T). Moreover, we give necessary and sufficient conditions for such T to satisfy generalized Weyl's theorem. Some applications are also given.     

粘结超磁致伸缩Tb-Dy-Fe合金磁致伸缩性能的研究

采用粘结方法制备了Tb1-xDyxFe2棒状合金样品，经筛选确定了粘结材料的制备工艺，测试了粘结棒状合金样品的静态、动态磁致伸缩系数和磁机械耦合系数k33。结果表明，所制备的粘结棒状样品具有较高的磁致伸缩性能，且动态磁致伸缩参数k33和磁机械耦合系数k33高于国外所报道的结果。     

Some properties concerning Milman's moduli

In this paper, some properties concerning Milman's moduli J(t,X) and S(t,X), including equivalent representations, upper and lower bounds as well as relationship between some geometric properties and these two moduli, are studied. In addition, some sufficient conditions for the fixed point property are presented.     

On Domains in Which Harmonic Functions Satisfy Generalized Mean Value Properties

Potential Analysis - Assume that a bounded domain Ω??N (N ≥ 2) has the property that there exists a signed measure µ with compact support in Ω such that, for every...     

偏硼酸钡低温相晶体在高压下的电学性质与相变

 在金刚石压砧装置上，采用电容和电阻测量方法研究了偏硼酸钡低温相晶体（β-BaB₂O₄）在室温下和16 GPa内的电容、电阻与压力的关系。实验结果表明，它的电容在2.1、4.6、6.4、8、9.5、10.7 GPa左右都有一个突变。这说明β-BaB₂O₄内部的结构状态在这些压力下都发生了变化，可能发生了相变。还发现β-BaB₂O₄样品在较高压力下已发生了非晶化转变，而且是不可逆的，在卸压后被保留下来。这个非晶化转变的压力大约在11~12 GPa。     

关于弱Hilbert性质的一个问题

本文证明了这样一个主要结果：设（Ｋ，Ｓ）和（Ｋ，Ｓ）都是亚序域，且（Ｋ，Ｓ）是（Ｋ，Ｓ）的有限生成扩张，则当Ｋ在Ｋ上是超越时，（Ｋ，Ｓ）具有弱Ｈｉｌｂｅｒｔ性质．这一结果否定地回答了作者在文献［１］中所提的一个公开问题．此外，一些关于弱Ｈｉｌｂｅｒｔ性质的结果被建立．     

二参数有限随机事件流

本文讨论二参数无后效有限随机事件流的鞅性和各种二参数Ｍａｒｋｏｖ性。     

Operators which have a closed quasi-nilpotent part

We find several conditions for the quasi-nilpotent part of a bounded operator acting on a Banach space to be closed. Most of these conditions are established for semi-Fredholm operators or, more generally, for operators which admit a generalized Kato decomposition. For these operators the property of having a closed quasi-nilpotent part is related to the so-called single valued extension property.