保持序和等价关系的自然偏序变换半群

设X为一个集合,■_X为X上的全变换半群.设E是X上的一个等价关系,定义T_E(X)={f∈■_X:■(x,y)∈E,(f(x),f(y))∈E},则T_E(X)是由等价关系E所确定的■_X的子半群.本文中,所考虑的集合X是一个有限全序集,同时E是非平凡的且所有的E-类都是凸集.显然■_E(X)={f∈T_E(X):■_x,y∈X,x≤y蕴涵f(x)≤f(y)}是T_E(X)的一个子半群.我们赋予■_E(X)自然偏序并讨论何时■_E(X)中的两个元素是关于这个偏序是相关的,然后确定■_E(X)中那些关于≤是相容的元素.此外,还描述了极大(极小)元和覆盖元.     

考虑声誉效应的众包竞赛动态激励机制研究

将声誉效应引入众包竞赛的激励机制可以促使接包方为考虑未来绩效收益而提高当前努力。建立并求解了显性和隐性声誉效应下连续两个任务阶段的动态激励模型,探讨了显性声誉修正系数、隐性声誉系数以及参赛者数量对激励效果的影响,并与无声誉激励机制进行了对比。研究表明,声誉激励机制通过单位绩效激励强度和固定奖励水平两条途径起作用,增大隐性声誉系数有助于提高每个任务阶段的努力程度,显性声誉不确定性则会降低第2任务阶段的努力程度;各种条件下实施声誉激励对第1任务阶段中的努力程度和单位绩效奖励的影响存在不确定性;参赛者数量的增加有助于弱化第1任务阶段中棘轮效应,但也会降低声誉激励机制对努力程度的正向价值,扩大声誉激励机制对单位绩效奖励的负向价值。     

服务型制造企业开放式服务创新的声誉激励模型

在服务型制造企业开放式服务创新的过程中, 为了激励合作企业参与服务创新, 将公平理论引入到声誉激励机制设计中, 考虑合作企业的公平偏好程度、服务创新能力系数、知识转移能力系数、耐心系数等参数, 运用委托代理理论, 建立声誉激励模型, 并对模型进行求解和数值仿真, 得出相应的研究结论和管理启示。研究表明:当合作企业是风险规避的, 在完全信息情况下, 合作企业的公平偏好程度系数与声誉激励系数正相关;在不完全信息情况下, 合作企业的公平偏好程度系数对声誉激励系数的影响不显著;无论是否考虑合作企业的公平偏好, 合作企业的努力水平、服务创新能力系数、知识转移能力系数、耐心系数与声誉激励系数正相关;合作企业的努力成本系数、风险规避系数、产出分享系数、外部环境变量的方差与声誉激励系数负相关。     

A homogeneous assay principle for universal substrate quantification via hydrogen peroxide producing enzymes

H₂O₂ is a widely occurring molecule which is also a byproduct of a number of enzymatic reactions. It can therefore be used to quantify the corresponding enzymatic substrates. In this study, the time-resolved fluorescence emission of a previously described complex consisting of phthalic acid and terbium (III) ions (PATb) is used for H₂O₂ detection. In detail, glucose oxidase and choline oxidase convert glucose and choline, respectively, to generate H₂O₂ which acts as a quencher for the PATb complex. The response time of the PATb complex toward H₂O₂ is immediate and the assay time only depends on the conversion rate of the enzymes involved. The PATb assay quantifies glucose in a linear range of 0.02–10 mmol L⁻¹, and choline from 1.56 to 100 μmol L⁻¹ with a detection limit of 20 μmol L⁻¹ for glucose and 1.56 μmol L⁻¹ for choline. Both biomolecules glucose and choline could be detected without pretreatment with good precision and reproducibility in human serum samples and infant formula, respectively. Furthermore, it is shown that the detected glucose concentrations by the PATb system agree with the results of a commercially available assay. In principle, the PATb system is a universal and versatile tool for the quantification of any substrate and enzyme reaction where H₂O₂ is involved.     

The relationship between the compatibility and thermodegradation stability of modified polyetherimide/bismaleimide resins by hyperbranched polysiloxane with high degree of branching

Amino‐terminated hyperbranched polysiloxane (AHBSi) with high degree of branching (0.8) is used to improve the compatibilization of polyetherimide (PEI)/allyl bisphenol A modified bismaleimide (BD) blend. The relationship between the compatibility and thermal/thermal‐oxidative stability of the AHBSi/PEI/BD system is intensively investigated. Although PEI has high thermal stability, the PEI/BD blend has poorer thermal stability than BD resin due to the incompatibility. With the addition of AHBSi into the PEI/BD blend, AHBSi chemically connects PEI and BD, leading to the increased compatibility; moreover, interestingly, both thermal and thermo‐oxidative stabilities are significantly improved. Under a N₂ atmosphere, the addition of 0.5 wt% of AHBSi increases the initial degradation temperature of the PEI/BD blend from 395°C to 412°C. The thermodegradation kinetics were studied, and results show that the AHBSi/PEI/BD system has much higher activation energy of degradation in both N₂ and air atmospheres. The origin behind these interesting results is intensively investigated. Copyright © 2013 John Wiley & Sons, Ltd.     

Compatible stability study of panax notoginseng saponin injection (xueshuantong®) in combination with 47 different injectables

Panax Notoginseng Saponin (PNS) injection (Xueshuantong®, XST) plays an important role in acute and chronic treatment of cardiovascular disease in China. XST, a freeze‐dried powder injection of PNS, contains ginsenosides, Rg1, Rb1, Re, Rd. and notoginsenoside, R1. Study of the stability of herbal medicine injections is limited. The degradation products may contribute to adverse drug reactions (ADRs). The stability kinetics and degradation mechanisms of the five ingredients of PNS in XST injection were systematically explored in aqueous solution. The compatible stability of XST injection in combination with 47 injectables was evaluated using biophysical analysis. A principal components analysis model provided a good clustering result after compatibility. The degradation of the five ingredients in aqueous solution was found to be acid, temperature, oxidation and trivalent ion‐dependent. All ingredients were much more stable in XST injection than in aqueous solutions. Nine degradation products were identified by adopting LC‐Q‐TOF/MS. Standards exceeding the osmotic pressure and/or particle size were found to be the probable causes of the ADR, which were related to drug combination. To minimize the risk of ADRs, drug combinations should be avoided until the complicated chemical matrices of the Chinese medicine injections are more clearly understood. Copyright © 2016 John Wiley & Sons, Ltd.     

Enhanced mechanical property of chitosan via blending with functional poly(ε-caprolactone)

Blends of chitosan and poly(ε-caprolactone-co-2-oxepane-1,5-dione) (PCO) were fabricated by solvent casting technique using 77% acetic acid as the cosolvent. The interactions between chitosan and PCO were analyzed by Fourier transform infrared spectroscopy, nuclear magnetic resonance, and differential scanning calorimetry. The miscibility became poorer with increase of PCO from 50% to 75%, which was supported by the Flory–Huggins interaction parameter and crystallinity of PCO. According to X-ray pattern, crystallinity of CS became weaker when PCO content was improved. Results indicated that there existed stronger interactions in comparison with PCL/CS blends. Therefore, the addition of functional polyester PCO made the brittle chitosan ductile. The elongation was significantly prolonged to 21.60 ± 4.92% with the break stress maintaining about 32 MPa, better than that of PCL blends. The degradation behavior showed slower degradation rate compared with pure CS and the morphology was illustrated by scanning electron microscopy. © 2012 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys, 2013     

Universal behaviour of a wave chaos based electromagnetic reverberation chamber

In this article, we present a numerical investigation of three-dimensional electromagnetic Sinai-like cavities. We computed around 600 eigenmodes for two different geometries: a parallelepipedic cavity with one half-sphere on one wall and a parallelepipedic cavity with one half-sphere and two spherical caps on three adjacent walls. We show that the statistical requirements of a well operating reverberation chamber are better satisfied in the more complex geometry without a mechanical mode-stirrer/tuner. This is due to the fact that our proposed cavities exhibit spatial and spectral statistical behaviours very close to those predicted by random matrix theory. More specifically, we show that in the range of frequency corresponding to the first few hundred modes, the suppression of non-generic modes (regarding their spatial statistics) can be achieved by reducing drastically the amount of parallel walls. Finally, we compare the influence of losses on the statistical complex response of the field inside a parallelepipedic and a chaotic cavity. We demonstrate that, in a chaotic cavity without any stirring process, the low frequency limit of a well operating reverberation chamber can be significantly reduced below the usual values obtained in mode-stirred reverberation chambers.     

结构非概率集合可靠性模型

针对概率可靠性模型和模糊可靠性模型关于原始数据要求高的局限性,将影 响结构可靠性的不确定性信息用区间集合来描述,提出了一种新的结构可靠性分析的非概率 集合模型. 以建立的结构应力-强度非概率集合干涉模型为基础,用结构安全域的体积与 基本区间变量域的总体积之比作为结构非概率集合可靠性的度量,相对于 前人的研究结果具有更加明确的意义,并证明了它与概率可靠性度量 的相容性.     

对称荷载作用下半圆盘的应力分析

本文应用双极坐标系中的弹性力学相容方程,获得了受对称荷载作用且τξη=0情况下半圆盘的应力解答。运用所得公式,分析了预应力钢丝缠绕式压机中半圆盘形梁等实例。