Interfacial dilational properties of tri-substituted alkyl benzene sulfonates at air/water and decane/water interfaces

The dilational rheological properties of absorbed film of three pairs of structural isomers, tri-substituted alkyl benzene sulfonates, at the air-water and decane-water interfaces have been investigated by drop shape analysis method. The influences of bulk concentration on dilational elasticity and viscosity were expounded. Interfacial tension relaxation method was employed to obtain dilational parameters in a reasonably broad frequency range. The experimental results showed that the meta-alkyl to sulfonate group plays a crucial role in the interfacial dilational properties: the longer meta-alkyl will lead to higher dilational parameters for air-water interface and lower ones for decane-water interface when the total alkyl carbon numbers are equal. For alkyl benzene sulfonates with shorter meta-alkyl, the surface dilational properties are similar to interfacial dilational properties, whereas the surface dilational parameters are obviously higher than the interfacial dilational parameters for alkyl benzene sulfonates with longer meta-alkyl in general. The possible mechanism has been proposed and ensured by Cole-Cole plots.     

Plate/shell topological optimization subjected to linear buckling constraints by adopting composite exponential filtering function

In this paper, a model of topology optimization with linear buckling constraints is established based on an independent and continuous mapping method to minimize the plate/shell structure weight. A composite exponential function (CEF) is selected as filtering functions for element weight, the element stiffness matrix and the element geomet-ric stiffness matrix, which recognize the design variables, and to implement the changing process of design variables from“discrete”to“continuous”and back to“discrete”. The buck-ling constraints are approximated as explicit formulations based on the Taylor expansion and the filtering function. The optimization model is transformed to dual programming and solved by the dual sequence quadratic programming algo-rithm. Finally, three numerical examples with power function and CEF as filter function are analyzed and discussed to demonstrate the feasibility and efficiency of the proposed method.     

整体式固相微萃取搅拌棒-分光光度法测定孔雀石绿

以开发新型吸附萃取搅拌棒为目的,利用环氧树脂、二乙基三胺和聚乙二醇（PEG 1540）通过原位逐步聚合反应制备了内封磁芯的搅拌棒.以孔雀石绿（MG）为目标分析物,详细优化了该搅拌棒吸附萃取的实验条件.在搅拌棒转速为450r？min-1和pH值为7的条件下吸附30min,然后用体积比为7：3的乙腈：乙酸铵缓冲溶液（pH 4~5）作为解吸液解吸20min.以紫外-可见分光光度计为检测手段,测定解吸液中MG的含量.该方法在0.01~5μg？mL-1的浓度范围呈现较好的线性关系,精密度和回收率较为满意.     

LC Separation and Determination of Five Diester-Diterpenoid Alkaloids in the Unprocessed and Processed Aconite Roots

A reliable liquid chromatographic method with photodiode array detector (DAD) was developed and validated for simultaneous separation and determination of five diester-diterpenoid alkaloids in the aconite roots. The separation was successfully performed on a Zorbax Extend-C₁₈ column with a mobile phase gradient prepared from methanol and ammonia solution at a flow rate of 1.0 mL min^?1. Good linearity (r > 0.999) was observed over the concentration ranges investigated, and intra-day and inter-day precision were high. The mean recoveries of five components ranged from 90.45 to 102.63% and relative standard deviations were always <5%. The validated method was successfully used for simultaneous determination of the five diester-diterpenoid alkaloids of unprocessed and processed aconite roots. The quantitative method provided a scientific basis for safety assurance and clinical application of aconite roots.     

无套利预算对应的连续性

当消费者的偏好是凸的 (不一定严格凸 )时 ,不完全市场的预算约束是价格单纯形与Grassman流形的乘积空间到商品空间的非线性集合值映射 ,简称为预算对应 .为了研究该模型的一般经济均衡的存在性 ,作者研究了无套利预算对应的性质 ,得到如下主要结果 :无套利预算对应是连续的 .     

Elementary variational approach to zero-free solutions of a nonlinear eigenvalue problem

A variational approach is employed for obtaining zero-free solutions of a nonlinear eigenvalue problem that appears in several recent studies. Our proofs are elementary but our results are sharp and yield corrections to several existing assertions in the literature.     

Exact stability regions for quartic polynomials

Given an arbitrary real quartic polynomial, we find the exact region containing the coefficients of the polynomial such that all roots have absolute values less than 1.