Zernike多项式展开系数的时间相关性

 分析了受大气湍流扰动的光波波前在系统接收孔径上的Zernike多项式展开系数的时间相关性,在此基础上进一步分析了从不同方向到达系统接收孔径的光波波前整体倾斜之间的相关性,并给出了光波在水平均匀大气中传播时的结果。     

能动磨盘变形检测中的各误差因素分析

针对现有f530 mm能动磨盘的检测系统（有效检测口径f420 mm）,系统分析了检测过程中的球头误差、传感器安装角度误差和坐标定位误差,并给出了各项误差对检测精度的影响。同时,还针对检测基座不完全水平的问题建立模型,应用最小二乘法实现了检测数据的去倾斜处理。给出了实测数据去倾斜前后和误差补偿前后的检测精度对比情况,结果表明去倾斜算法能较好地还原实测数据,补偿检测中的系统误差有助于提高检测精度。     

Chiral phase transition and equation of state in chiral imbalance

The chiral phase transition and equation of state are studied within a novel self-consistent mean-field approximation of the two-flavor Nambu-Jona-Lasinio model. In this newly developed model, modifications to the chemical μ and chiral chemical \begin{document}$\mu_5$\end{document} potentials are naturally included by introducing vector and axial-vector channels from Fierz-transformed Lagrangian to the standard Lagrangian. In the proper-time scheme, the chiral phase transition is a crossover in the \begin{document}$T-\mu$\end{document} plane. However, when \begin{document}$\mu_5$\end{document} is incorporated, our study demonstrates that a first order phase transition may emerge. Furthermore, the chiral imbalance will soften the equation of state of quark matter. The mass-radius relationship and tidal deformability of quark stars are calculated. The maximum mass and radius decrease as \begin{document}$\mu_5$\end{document} increases. Our study also indicates that the vector and axial-vector channels exhibit an opposite influence on the equation of state.     

Models of expansions of \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb N}$\end{document} with no end extensions

We deal with models of Peano arithmetic (specifically with a question of Ali Enayat). The methods are from creature forcing. We find an expansion of ${\mathbb N}$ such that its theory has models with no (elementary) end extensions. In fact there is a Borel uncountable set of subsets of ${\mathbb N}$ such that expanding ${\mathbb N}$ by any uncountably many of them suffice. Also we find arithmetically closed ${\mathcal A}$ with no ultrafilter on it with suitable definability demand (related to being Ramsey). © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim     

Multi-Faithful Spanning Trees of Infinite Graphs

For an end and a tree T of a graph G we denote respectively by m() and m _T () the maximum numbers of pairwise disjoint rays of G and T belonging to , and we define tm() := min{m _T(): T is a spanning tree of G}. In this paper we give partial answers — affirmative and negative ones — to the general problem of determining if, for a function f mapping every end of G to a cardinal f() such that tm() f() m(), there exists a spanning tree T of G such that m _T () = f() for every end of G.     

TNF-α、IL-6、IL-8在Modic I型改变腰椎终板与椎间盘髓核中的表达及关系研究

目的 探讨腰椎Modic I型改变的腰椎终板与椎间盘髓核中TNF-α、IL-6、IL-8 的相关性。方法 收集30 例因下腰痛入院手术治疗并行腰椎MRI 检查确认为腰椎Modic I型改变患者的术中病灶椎间盘标本,进行免疫组化检测,并观察椎间盘组织病理变化及炎症因子的表达,IL-6、IL-8 相对表达水平以相对表达量△Ct 或（2-△Ct×104）进行分析。结果 Modic I型终板中TNF-α表达水平（9.2±0.7）高于髓核（7.2±0.5）,差异有统计学意义（P＜0.05）;髓核中△Ct IL-6、△Ct IL-8 相对表达量（6.34±1.82、10.62±1.88）高于终板（4.07±1.86、5.92±1.31）,差异均有统计学意义（均P＜0.05）。结论 Modic I型终板中TNF-α、IL-6、IL-8的表达水平明显高于髓核,其引起下腰痛的原因主要为终板的炎症改变。     

Ends,tangles and critical vertex sets

We show that an arbitrary infinite graph G can be compactified by its ends plus its critical vertex sets, where a finite set X of vertices of an infinite graph is critical if its deletion leaves some infinitely many components each with neighbourhood precisely equal to X. We further provide a concrete separation system whose ?₀‐tangles are precisely the ends plus critical vertex sets. Our tangle compactification is a quotient of Diestel's (denoted by ), and both use tangles to compactify a graph in much the same way as the ends of a locally finite and connected graph compactify it in its Freudenthal compactification. Finally, generalising both Diestel's construction of and our construction of , we show that G can be compactified by every inverse limit of compactifications of the sets of components obtained by deleting a finite set of vertices. Diestel's is the finest such compactification, and our is the coarsest one. Both coincide if and only if all tangles are ends. This answers two questions of Diestel.     

Singly Periodic Solutions of the Allen-Cahn Equation and the Toda Lattice

The Allen-Cahn equation ? Δu = u ? u ³ in ?² has family of trivial singly periodic solutions that come from the one dimensional periodic solutions of the problem ?u″ =u ? u ³. In this paper we construct a non-trivial family of singly periodic solutions to the Allen-Cahn equation. Our construction relies on the connection between this equation and the infinite Toda lattice. We show that for each one-soliton solution to the infinite Toda lattice we can find a singly periodic solution to the Allen-Cahn equation, such that its level set is close to the scaled one-soliton. The solutions we construct are analogues of the family of Riemann minimal surfaces in ?³.     

流动注射-电化学-表面等离子体激元共振联用技术研究二茂铁硫醇氧化还原结构变化

采用流动注射-电化学-表面等离子体激元共振联用技术研究了11-二茂铁基十一烷基-1-硫醇自组装膜在氧化还原过程中的构型变化.结果表明,二茂铁硫醇在氧化过程中,分子发生了两种结构变化:远离电极表面,烷基链与电极表面的夹角增大;分子上两个平行的戊基环绕着二茂铁-碳轴发生旋转.     

DECAY RATE OF SAINT-VENANT END EFFECTS FOR PLANE DEFORMATIONS OF PIEZOELECTRIC-PIEZOMAGNETIC SANDWICH STRUCTURES

This paper is concerned with the decay of Saint-Venant end effects for plane deformations of piezoelectric （PE）-piezomagnetic （PM） sandwich structures, where a PM layer is located between two PE layers with the same material properties or reversely. The end of the sandwich structure is subjected to a set of self-equilibrated magneto-electro-elastic loads. The upper and lower surfaces of the sandwich structure axe mechanically free, electrically open or shorted as well as magnetically open or shorted. Firstly the constitutive equations of PE mate- rials and PM materials for plane strain are given and normalized. Secondly, the simplified state space approach is employed to arrange the constitutive equations into differential equations in a matrix form. Finally, by using the transfer matrix method, the characteristic equations for eigen- values or decay rates axe derived. Based on the obtained characteristic equations, the decay rates for the PE-PM-PE and PM-PE-PM sandwich structures are calculated. The influences of the electromagnetic boundary conditions, material properties of PE layers and volume fraction on the decay rates are discussed in detail.