Similarity orbits in the Calkin algebra

Let B(H) be the algebra of all bounded linear operators on a complex separable infinite dimensional Hilbert space H.Denote by π the quotient map of B(H) onto the Calkin algebra A(H).In 1984,Apostol et al.raised the following conjecture:If an operator T on H is not similar to a compact perturbation of a Jordan operator,then the similarity orbit of π(T) in A(H) coincides with the π-image of the similarity orbit of T.In this paper,we investigate the structure of similarity orbits in the Calkin algebra and give...     

Weak type heterodimensional cycle bifurcation with orbit-flip

In this paper, we study the weak type heterodimensional cycle with orbit-flip in its non-transversal orbit by using the local moving frame approach. For the first two subcases, we present the sufficient conditions for the existence, uniqueness and non-coexistence of the homoclinic orbit, heteroclinic orbit and periodic orbit. Based on the bifurcation analysis, the bifurcation surfaces and the existence regions are located. And for the third subcase, we theoretically established both the coexistence conditio...     

构造二元向量值有理插值函数的一种新方法

At present, the methods of constructing vector valued rational interpolation function in rectangular mesh are mainly presented by means of the branched continued fractions. In order to get vector valued rational interpolation function with lower degree and better approximation effect, the paper divides rectangular mesh into pieces by choosing nonnegative integer parameters d1 （0 〈 dl ≤ m） and d2 （0 ≤ d2≤ n）, builds bivariate polynomial vector interpolation for each piece, then combines with them properly. As compared with previous methods, the new method given by this paper is easy to compute and the degree for the interpolants is lower.     

三能级Upper-ladder型系统中的

三能级Upper-ladder型系统中,在旋波、慢变振幅近似下,求解了考虑驱动场相位扩散后的系统密度矩阵运动方程,并给出了这个三能级梯型系统稳态线性解析解.利用对密度矩阵运动方程的稳态线性解析解的数值模拟结果,研究相位扩散对无反转激光增益、色散和粒子数差的影响;利用对密度矩阵运动方程的数值模拟结果,分析相位的扩散对无反...     

微乳液法SiO2/罗丹明B荧光杂化纳米微球的制备与表征

在甲苯存在下的反相微乳液体系中,将γ-缩水甘油醚氧丙基三甲氧基硅烷(KH560)与罗丹明B进行预反应;再与正硅酸乙酯( TEOS)经原位溶胶-凝胶反应,制备SiO2/罗丹明B荧光杂化纳米微球.通过FTIR、UV-Vis、TEM、TG和光致发光谱对杂化纳米微球进行了表征.结果表明:罗丹明B与KH560间通过酯基形成化学键...     

皮肤晚期糖基化终末产物的自体荧光光谱特性

在分析晚期糖基化终末产物(Advanced glycation end products,AGEs)标准品三维荧光光谱和皮肤中AGEs自体荧光光谱的基础上,确定了皮肤中AGEs的最佳激发波长为370 nm.使用自行设计的皮肤荧光光谱检测装置对正常人和糖尿病患者皮肤AGEs的荧光光谱进行了检测,结果表明:在418,450...     

基于FPGA和DSP的微型惯导系统

 惯导系统的硬件组成直接影响到系统的体积和解算速度,构建合理的硬件系统直接关系到惯导系统的精度指标。针对某小型惯导系统对体积和解算精度的特殊要求,解决已有微型惯导系统的方案缺陷,提出一种工程实用强的惯导系统。该系统用FPGA作为采集控制惯性传感器的核心芯片,设计了并行采集方案,32位浮点型高速DSP实现惯导解算。经过转台测试与外场试验表明：系统具有抗干扰能力强、实时响应迅速、惯性单元标定简便、易实现等优点,系统指标完全满足原设计要求。     

茜素应用于识别硼酸的研究

应用紫外-可见分光光度法研究了茜素与硼酸之间的识别行为,结果表明,在pH 9.0Na2HPO4-NaH2PO4缓冲介质中,茜素与硼酸形成1∶1稳定络合物,使茜素的吸收光谱发生明显蓝移,溶液颜色由玫红色变为橙黄色,阴离子F-、Cl-、Br-、I-、Ac-、NO-3、C2O24-等均未引起茜素的吸收光谱及溶液颜色发生明显变化,因此茜素可以选择性识别硼酸。初步探讨了茜素与硼酸之间的相互作用机理,并对茜素识别硼酸与茜素识别阴离子的机理进行了比较。     

Orbit determination and time synchronization for a GEO/IGSO satellite navigation constellation with regional tracking network

Aiming at regional services,the space segment of COMPASS (Phase I) satellite navigation system is a constellation of Geostationary Earth Orbit (GEO),Inclined Geostationary Earth Orbit (IGSO) and Medium Earth Orbit (MEO) satellites.Precise orbit determination (POD) for the satellites is limited by the geographic distribution of regional tracking stations.Independent time synchronization (TS) system is developed to supplement the regional tracking network,and satellite clock errors and orbit data may be obtai...     

Properties of the 3/2~-[521] band in the odd-N rare-earth nuclei

High-spin states in 161Er have been studied experimentally via the 150Nd(16O, 5n) reaction at a beam energy of 86 MeV. Three rotational bands built on the 5/2+[642], 3/2-[521], and 11/2-[505] configurations have been extended up to high-spin states, and particularly, the α = -1/2 branch of the ground state 3/2-[521] band has been revised significantly. It is found that signature inversion occurs in the 3/2-[521] band after the band crossing in 161Er. The systematics of the signature inversion associated wit...