The threshold for d‐collapsibility in random complexes*

In this paper we determine the threshold for d‐collapsibility in the probabilistic model X_d(n,p) of d‐dimensional simplicial complexes. A lower bound for this threshold was established in (Aronshtam and Linial, Random Struct. Algorithms 46 (2015) 26–35), and here we show that this is indeed the correct threshold. Namely, for every c > η_d, a complex drawn from is asymptotically almost surely not d‐collapsible. © 2015 Wiley Periodicals, Inc. Random Struct. Alg., 48, 260–269, 2016     

钛管在复杂应力下的双向强化效应

利用塑性势理论,同时通过各种复合应力试验证明了TA2钛管具有明显的各向异性和双向强化效应,并提供了钛管换热器合理设计的可靠依据．     

A design of novel type superconducting magnet for super—high field functional magnetic resonance imaging by using the harmonic analysis method of magnetic vector potentials

The approach of expanding the magnetic scalar potential in a series of Legendre polynomials is suitable for designing a conventional superconducting magnetic resonance imaging magnet of distributed solenoidal configuration. Whereas the approach of expanding the magnetic vector potential in associated Legendre harmonics is suitable for designing a single-solenoid magnet that has multiple tiers, in which each tier may have multiple layers with different winding lengths. A set of three equations to suppress some of the lowest higher-order harmonics is found. As an example, a 4T single-solenoid magnetic resonance imaging magnet with 4×6 layers of superconducting wires is designed. The degree of homogeneity in the 0.5m diameter sphere volume is better than 5.8 ppm. The same degree of homogeneity is retained after optimal integralization of turns in each correction layer. The ratio B_m/B₀ in the single-solenoid magnet is 30% lower than that in the conventional six-solenoid magnet. This tolerates higher rated superconducting current in the coil. The Lorentz force of the coil in the single-solenoid system is also much lower than in the six-solenoid system. This novel type of magnet possesses significant advantage over conventional magnets, especially when used as a super-high field functional magnetic resonance imaging magnet.     

《南昌大学学报(理科版)》1999～2008年载文、作者和引文分析

应用文献计量学的方法,对2006~2007年及1999~2008年每年的第1期,共20期《南昌大学学报(理科版)》进行定量分析,并与相关的文献报道进行比较。分析结果表明:该刊在相近的同类高校学报(科技期刊)中,载文量较高,基金项目论文平均达到65.95%;论文合著率为88.26%,合作度为2.89;第一     

变系数二元线性差分方程解的显式表示

文章讨论了变系数二元线差分方程求解公式,并给出两个应用实例。     

星上定标漫射板远紫外BRDF测量方法

针对星载漫射板远紫外波段(140~240nm)的双向反射分布函数测量过程中,探测器响应线性问题和紫外光源稳定性差的问题,提出一种采用光源监测比例补偿的相对测量方法.根据测量方法设计了一种基于六自由度转台结构形式的测量系统,该系统采用漫射板两维平移+两维转动、探测器两维转动的组合运动形式,可实现漫射板半球空间内任意点、任意方位的双向反射分布函数测量.用所提方法进行测量实验,并对影响系统测量结果的主要因素进了不确定度分析,结果表明总测量不确定度约为5.5%.     

A solution to Curry and Hindley’s problem on combinatory strong reduction

It has often been remarked that the metatheory of strong reduction , the combinatory analogue of βη-reduction in λ-calculus, is rather complicated. In particular, although the confluence of is an easy consequence of being confluent, no direct proof of this fact is known. Curry and Hindley’s problem, dating back to 1958, asks for a self-contained proof of the confluence of , one which makes no detour through λ-calculus. We answer positively to this question, by extending and exploiting the technique of transitivity elimination for ‘analytic’ combinatory proof systems, which has been introduced in previous papers of ours. Indeed, a very short proof of the confluence of immediately follows from the main result of the present paper, namely that a certain analytic proof system G _e [] , which is equivalent to the standard proof system CL _ext of Combinatory Logic with extensionality, admits effective transitivity elimination. In turn, the proof of transitivity elimination—which, by the way, we are able to provide not only for G _e [] but also, in full generality, for arbitrary analytic combinatory systems with extensionality—employs purely proof-theoretical techniques, and is entirely contained within the theory of combinators.      

反相HPLC法测定化妆品中熊果苷的含量

研究了反相高效液相色谱法测定化妆品中熊果苷的含量。熊果苷浓度在 0～ 5 0 0mg/L范围内 ,浓度与峰面积呈良好的线性关系。对 5 .0× 10 -4 mol/L熊果苷标准溶液 9次平行测定 ,相对标准偏差为 0 .46 %。     

复模糊值函数的Henstock-Stieltjes积分

基于对模糊复积分理论的研究,本文借助复区间值函数的Henstock-Stieltjes积分定义和刻划了复模糊值函数的Henstock-Stieltjes积分,并得到了复模糊值函数Henstock-Stieltjes积分的线性性及区间可加性.