一种求解合作博弈最公平核心的非精确平行分裂算法

针对合作博弈核心和Shapley值的特点, 将最公平核心问题转化为带有两个变 量的可分离凸优化问题, 引入结构变分不等式的算子分裂方法框架, 提出了求解最公平核心的一种非精确平行分裂算法. 而且, 该算法充分利用了所求解问题的可行域的简单闭凸性, 子问题的非精确求解是容易的. 最后, 简单算例的数值实验表明了算法的收敛性和有效性.     

磷酸二氢钾催化Yonemitsu缩合反应合成5-[(3-吲哚基)-芳甲基]-2,2-二甲基-1,3-二噁烷-4,6-二酮衍生物

以醛、吲哚和麦氏酸为原料,水和乙醇混合液为溶剂,在室温搅拌条件下以磷酸二氢钾为催化剂通过Yonemitsu缩合反应,合成了一系列的5-[(3-吲哚基)-芳甲基]-2,2-二甲基-1,3-二噁烷-4,6-二酮衍生物,产率为48%~98%,并通过X射线单晶衍射仪测定了化合物4o的晶体结构。 该方法能够有效的促使反应活性较低的4-甲基苯甲醛和4-甲氧基苯甲醛参与反应,以83%和60%的收率获得相应的目标产物,并具有反应条件温和、催化剂廉价易得、后处理简单、产物易于纯化、产率较高等优点,可用于合成3-取代吲哚类化合物。     

基于暗I-V特性曲线对晶硅电池杂质和缺陷性质研究

暗I-V特性曲线是一种有效监测晶硅电池内部杂质和缺陷性质的表征手段.本文利用有限差分法较系统地研究了杂质和缺陷性质对暗I-V特性曲线的影响,并给出了利用暗I-V特性曲线判断晶硅电池内部杂质和缺陷类型和分布的基本准则,结果表明:在大于0.75 V的正向偏压区域,暗I-V特性曲线的明显变化可作为判断为由晶硅电池体内杂质和缺陷引起;在0.1 V~0.75 V的正向偏压区域,暗I-V特性曲线的理想因子分区性质可作为晶硅电池体内和表面杂质和缺陷的依据.     

非均匀局域共振型声子晶体隔声特性研究

建立局域共振声子晶体单元结构模型,通过有限元方法研究了阵列排布、填充率排列及散射体厚度排列对非均匀声子晶体隔声特性的影响,以期使各类非均匀声子晶体结构在不同频段发挥隔声效果及减少隔声频段内的局部衰减.结果表明,散射体靠近入射方向的阵列排布具有较大的隔声量;填充率由中间列向两端递增的形式下局部衰减情况较少;散射体厚度由中间列向两边减小的排布适合中高频隔声,由中间列向两边增大的排布适合低频隔声;分别由铝振子、钢振子、铅振子构成的声子晶体在低频段具有相似的隔声特性,中高频处的隔声频段随着振子密度的增加向低频段移动.此结果为非均匀声子晶体获得良好降噪效果提供了理论支持.     

断裂或接触力学问题中第二类柯西奇异积分方程的一种解析方法

第二类柯西奇异积分方程因涉及复奇异因子往往造成求解困难,而适用第一类奇异积分方程的高效数值方法并不能推广至第二类奇异积分方程,即便是第二类奇异积分方程,其数值解法仍是一个难题.为此提出了构造第二类奇异积分方程解析解的一种新方法.通过分解柯西奇异项,并利用雅克比多项式的正交性,推导针对右端载荷项为单项式(monomial)的递推解析解,进而借助级数展开的方法推广至一般的载荷问题.提出的基于递推的解析解构造方案,能完美地结合maple软件编程,从而提供一种方便、快捷、有效的算法.由给出的算例可见,本方法适用于处理界面断裂或接触分析问题中含复数奇异因子的复杂情形,从而为研究该类典型力学问题提供了一种可供选择的方法.     

Identification of microalgae by hyperspectral microscopic imaging system

Harmful algal blooms can lead to serious environment problems, and thus monitoring and classifying microalgae have received increasing attention. Microcystis aeruginosa, Chlorella pyrenoidosa, and Nannochloris oculata all are small in size and have a similar morphology, which lead to discriminant difficulties using a traditional optical microscope. In this experiment, an independently developed hyperspectral microscopic imaging system was used to obtain the hyperspectral images of microalgae samples, and a hyperspectral dataset was developed through pretreated steps. Then the Fisher algorithm was employed to identify the species of the microalgae, and its sensitivity and specificity were found to be high. The result demonstrated that this method can classify the microalgae in a quick and convenient manner; in addition, the quantity and spatial information of the samples can be acquired.     

Geometry of Reinhardt domains of finite type in ℂ2

The asymptotic behavior of the holomorphic sectional curvature of the Bergman metric on a pseudoconvex Reinhardt domain of finite type in ?² is obtained by rescaling locally the domain to a model domain that is either a Thullen domain Ω _m = {(z ₁,z ₂); ¦z ₁¦² + ¦z ₂¦^2m < 1 or a tube domainT _m = {(z ₁,z ₂); Im_z1 + (Im_z2)^2m < 1}. The Bergman metric for the tube domainT _m is explicitly calculated by using Fourier-Laplace transformation. It turns out that the holomorphic sectional curvature of the Bergman metric on the tube domainT _m at (0, 0) is bounded above by a negative constant. These results are used to construct a complete Kähler metric with holomorphic sectional curvature bounded above by a negative constant for a pseudoconvex Reinhardt domain of finite type in ?².     

Microwave-assisted copper-catalyzed stereoselective ring expansion of three-membered heterocycles with α-diazo-β-dicarbonyl compounds

Microwave-assisted copper-catalyzed ring expansions of three-membered heterocycles with α-diazo-β-dicarbonyl compounds were investigated. Thiiranes generated 3-acyl-5,6-dihydro-1,4-oxathiines in the presence of copper sulfate and trans-3-acyl-5,6-dihydro-1,4-oxathiines as stereospecific products for 1,2-disubstituted cis-thiiranes through an intramolecular S_N2 process. Oxiranes gave rise to 2-acyl-5,6-dihydro-1,4-dioxines under the catalysis of copper hexafluoroacetylacetonate and cis-3-acyl-5,6-dihydro-1,4-dioxines as stereospecific products for 1,2-disubstituted cis-oxiranes via an intimate ion-pair mechanism. The current method provides a direct and simple strategy in efficient preparation of 3-acyl-5,6-dihydro-1,4-oxathiines and 2-acyl-5,6-dihydro-1,4-dioxines, important agents in medicinal and agricultural chemistry, from readily available thiiranes and oxiranes, respectively.     

Conjugated Polymer Nanomaterials for Phototherapy of Cancer

Due to the excellent properties including high specificity,low side-effect and good biocompatibility,conjugated polymer nanomaterials have been served as efficient anticancer reagents in die past decades.According to the developed anticancer systems based on conjugated polymer nanomaterials,it could be summarized into three main cancer therapy strategies:photodynamic therapy(PDT),photothermal therapy(PTT)and combination therapy.In this mini review,we provide a brief introduction to three different cancer therapy modes,their mechanisms and potential biological applications.Furthermore,some perspectives on the further development of conjugated polymer nanomaterials are proposed in the territory of anticancer precision medicine.     

Hydroxamic Acid‐Piperidine Conjugate is an Activated Catalyst for Lysine Acetylation under Physiological Conditions

Lysine acylation of proteins is an essential chemical reaction for posttranslational modification and as a means of protein modification in various applications. N,N‐Dimethyl‐4‐aminopyridine (DMAP) derivatives are widely‐used catalysts for lysine acylation of proteins; however, the DMAP moiety mostly exists in a protonated, and thus deactivated, form under physiological conditions due to its basicity. An alternative catalytic motif furnishing higher acylation activity would further broaden the possible applications of chemical lysine acylation. We herein report that the hydroxamic acid‐piperidine conjugate Ph‐HXA is a more active catalytic motif for lysine acetylation than DMAP under physiological conditions. In contrast to DMAP, the hydroxamic acid moiety is mostly deprotonated under aqueous neutral pH, resulting in a higher concentration of the activated form. The Ph‐HXA catalyst is also more tolerant of deactivation by a high concentration of glutathione than DMAP. Therefore, Ph‐HXA might be a suitable catalytic motif for target protein‐selective and site‐selective acetylation in cells.