von Neumann’s trace inequality for Hilbert–Schmidt operators

von Neumann’s inequality in matrix theory refers to the fact that the Frobenius scalar product of two matrices is less than or equal to the scalar product of the respective singular values. Moreover, equality can only happen if the two matrices share a joint set of singular vectors, and this latter part is hard to find in the literature. We extend these facts to the separable Hilbert space setting, and provide a self-contained proof of the “latter part”.     

Phase transition in the one-dimensional pair-hopping model with unusual one-electron hopping

By modifying the conventional one-electron hopping behavior, we study effects of an occupation-dependent hopping on the ground state of the half-filled one-dimensional pair-hopping model. At weak coupling, the use of bosonization and renormalization-group analysis techniques helps to derive the phase diagram. Such unusual hopping is shown to drive a spin-gap transition and to introduce a new region where the triplet superconducting instability dominates for positively small pair-hopping interaction.     

唐代试律诗诗题用典与唐代祥瑞尚奇文化

唐代试律诗诗题对有关祥瑞及灵异之类典故的大量选用,不但体现了唐代统治者借祥瑞文化维护自身统治的治国策略,也表明了尚奇之风在唐代的盛行。     

Design and development of a two‐dimensional system based on hydrophilic and reversed‐phase liquid chromatography with on‐line sample treatment for the simultaneous separation of excreted xenobiotics and endogenous metabolites in urine

In the present work we describe a two‐dimensional liquid chromatographic system (2D‐LC) with detection by mass spectrometry (MS) for the simultaneous separation of endogenous metabolites of clinical interest and excreted xenobiotics deriving from exposure to toxic compounds. The 2D‐LC system involves two orthogonal chromatographic modes, hydrophilic interaction liquid chromatography (HILIC) to separate polar endogenous metabolites and reversed‐phase (RP) chromatography to separate excreted xenobiotics of low and intermediate polarity. Additionally, the present proposal has the novelty of incorporating an on‐line sample treatment based on the use of restricted access materials (RAMs), which permits the direct injection of urine samples into the system. The work is focused on the instrumental coupling, studying all possible options and attempting to circumvent the problems of solvent incompatibility between the RAM device and the two chromatographic columns, HILIC and RP. The instrumental configuration developed, RAM‐HILIC‐RPLC‐MS/MS, allows the simultaneous assessment of urinary metabolites of clinical interest and excreted compounds derived from exposure to toxic agents with minimal sample manipulation. Thus, it may be of interest in areas such as occupational and environmental toxicology in order to explore the possible relationship between the two types of compounds. Copyright © 2015 John Wiley & Sons, Ltd.     

共产主义实现过程的数学刻画

指出了极限蕴含着理想与现实的统一,以此刻画了共产主义的实现过程——人类社会可以无限地趋近共产主义.把人类社会视为一个系统,提出了它的两条基本公理.借助于公理法,利用逻辑推理论证了劳动将逐渐成为人们的第一需要、劳动创造财富、人类的思想觉悟可以逐渐达到共产主义人生观等重要结论.     

利用ARGO实验寻找GRBs的本底研究

位于西藏羊八井宇宙线观测站(海拔4300 m)的ARGO-YBJ实验具有高海拔、大视场、全覆盖特点,其阈能约几百个GeV,在探测高能GRBs方面具有独特的优势.ARGO-YBJ实验不能分辨光子和质子,要在大量的宇宙线事例中找出光子信号,就必须正确地估计背景事例率,这是寻找高能GRBs的关键.本文采用"等天顶角法"对ARGO实验中寻找GRBs的宇宙线本底进行了分析.由于地球的自转,天顶角随着时间的变化而变化.本文重点分析了长暴在其持续时间内天顶角的变化,从而更加准确地进行了本底估计.     

基于WEB的在线答疑系统的设计与实现

根据登录者的身份，基于WWW技术的在线答疑系统设计为三大模块：学生模块、教师模块和系统管理员模块，它们可分别完成提问、回答和版务管理等功能．还探讨了系统主要的实现技术。     

"三个代表"与党的建设

“三个代表”是立党之本、执政之基、力量之源，它涵盖了我党所要具备的三种资源力量：即物质力量、精神力量(文化)和社会力量(广大人民群众)，这三种力量是党立于不败之地的强大力量。