高分辨差分比热测量方法及在高温超导体研究中的应用

差分比热实验方法是测量两个样品的比热差,具有高达万分之一的比热测量分辨率,适合测量相变时微小的比热变化及宽温区的电子比热.文章介绍了高分辨连续升温差分比热实验的测量原理和测量方法,并以铜氧化物高温超导体Y0.8Ca0.2Ba2Cu3O6+x为例,介绍了差分比热实验手段在宽温区电子比热的获得、正常态赝能隙及超导凝聚能研究等方面的应用.     

红外光谱法检测生物大分子损伤的研究进展

红外光谱技术由于其灵敏度高和对样品的非破坏性等优点已成为研究生物大分子损伤的重要工具。蛋白质、脂质和核酸等受到损伤时,其红外光谱特征吸收峰的峰位、峰型和峰强会发生变化,这为检测生物大分子损伤并进一步揭示相关疾病的发生、发展及早期预防提供了依据。还综述了近年来使用红外光谱法检测生物大分子损伤的研究进展,介绍了利用傅里叶变换红外光谱、衰减全反射傅里叶变换红外光谱和傅里叶红外显微等技术在蛋白质二级结构、膜脂流动性和离子通透性以及药物对DNA的作用机制等领域的应用,以及相关的定性和定量分析方法进行了评述,提出了目前红外光谱分析技术中存在的问题,并对今后红外光谱在生物医学领域中的应用前景作了展望,指出疾病早期诊断、红外光谱联用以及定量分析技术等将成为红外光谱领域未来的研究热点。     

垂直水声通信中的伪随机序列精确定时算法*

针对垂直水声通信中时变多普勒引起的定时偏差问题,研究一种基于伪随机序列的迭代定时估计及补偿算法。该方法利用伪随机序列作为同步信号,分三步估计时变多普勒：采用低复杂度的模糊函数法粗补偿接收信号内的平均多普勒;通过迭代插值法实现残留时变多普勒的精确估计及补偿;利用基于信道相关函数的相位信息,纠正均衡后信号的偏转相位。为实现高阶海试数据的有效解调,采用基于伪随机序列均方误差的多通道加权合并方式,获得空间分集增益。仿真及海试数据处理结果证明所提方法具有良好的时变多普勒估计及补偿性能,同时对30个通道内的1024QAM数据进行合并处理,在500 m的通信距离下,误码率为0.04,信道容量达到7.6 bits/symbol。与传统数据帧结构相比,无需使用线性调频信号,可以提高有效数据传输率。     

Characterizing sequences for precompact group topologies

Motivated from [31], call a precompact group topology τ on an abelian group G ss-precompact (abbreviated from single sequence precompact  ) if there is a sequence u=(_un)$\mathbf{u}=(u_n)$ in G such that τ is the finest precompact group topology on G   making u=(_un)$\mathbf{u}=(u_n)$ converge to zero. It is proved that a metrizable precompact abelian group (G,τ)$(G,\tau )$ is ss-precompact iff it is countable. For every metrizable precompact group topology τ on a countably infinite abelian group G there exists a group topology η such that η is strictly finer than τ   and the groups (G,τ)$(G,\tau )$ and (G,η)$(G,\eta )$ have the same Pontryagin dual groups (in other words, (G,τ)$(G,\tau )$ is not a Mackey group in the class of maximally almost periodic groups).     

递推数列通项的矩阵解法

分情形讨论递推数列求通项的问题,介绍相应的矩阵解法,并借助实例说明其应用。     

一类单调算子的新不动点定理

利用单调迭代法、数学归纳法以及序差距的性质,在半序Banach空间中探究不具有紧性、连续性以及任何凹凸性的单调算子不动点存在以及惟一性问题,得出其新不动点定理,这些结果对相关结论进行了推广,使其适用范围更广,同时将该结论应用于求解Volterra型积分方程组问题中.     

一种生成迭代数列的新方法

围绕两个典型迭代数列的构造问题,以问题为驱动,提出一种生成迭代数列的新方法,并通过数值实验或理论证明验证迭代数列的收敛性.     

Weighted pseudo almost periodic solutions of N-th order neutral differential equations with piecewise constant arguments

In this work, we present some existence theorems of weighted pseudo almost periodic solutions for N-th order neutral differential equations with piecewise constant argument by means of weighted pseudo almost periodic solutions of relevant difference equations.     

Fibrations of topological stacks

In this note we define fibrations of topological stacks and establish their main properties. When restricted to topological spaces, our notion of fibration coincides with the classical one. We prove various standard results about fibrations (long exact sequence for homotopy groups, Leray–Serre and Eilenberg–Moore spectral sequences, etc.). We prove various criteria for a morphism of topological stacks to be a fibration, and use these to produce examples of fibrations. We prove that every morphism of topological stacks factors through a fibration and construct the homotopy fiber of a morphism of topological stacks. As an immediate consequence of the machinery we develop, we also prove van Kampen?s theorem for fundamental groups of topological stacks.