Four Triterpene Oligoglycosides from the seeds of Aesculus Chinensis

TheseedsofAesculuschinensisBge.(Hippocastanaceae)havebeenusedasfolkmedicineforthetreatmentofdistensionandpaininchestandabdomenl.Untilnow,thereisnoreportonitschemicalconstituents.Thispaperdescribesstructureelucidationoftwonewcompounds,escinsIVa3andIVb4onthebasisofspectroscopicmethodsandcomparisonwithescinsla1andfo22.Amongthem,EscinlaIwasstudiedbyX-raydistractionanalysis.Compound3,whitepowder,showediRbandsduetocarboxylanda,p-unsaturatedesterat1740,1713and1640cm-'andstrongabsorptionbandsat34…     

A Novel Synthesis of Alkylamino Substituted Methylenediphosphonates Using Bis(trichloromethyl) Carbonate and RCONR1R2

An efficient, economical and easy method for the synthesis of dimethylaminomethylenediphosphonates using bis(trichloromethyl) carbonate and RCONR1R2 has been developed, which proceeded under relatively mild conditions.     

Synthesis of a novel perylene diimide derivative and its charge transfer interaction with C60

A novel organic electron acceptor, N,N′-dipyrimidinyl-3,4,9,10-perylene-tetracarboxylic diimide (DMP), was designed and synthesized. The molecular structure was characterized by FTIR spectrum and elemental analysis. By cyclic voltammetry measurements, DMP was found to possess a lower LUMO energy level than N,N′-diphenyl-3,4,9,10-perylene-tetracarboxylic diimide due to the stronger electron-withdrawing pyrimidinyl group than the phenyl group. Fluorescence quenching is observed in a dual-layer film consisting of a DMP layer and a C₆₀ layer and was attributed to the charge transfer at the interface due to the energy level offset between DMP and C₆₀. Supported by the National Natural Science Foundation of China (Grant Nos. 50433020, 50520150165 & 50403022)     

Sequential optimality conditions for composed convex optimization problems

Using a general approach which provides sequential optimality conditions for a general convex optimization problem, we derive necessary and sufficient optimality conditions for composed convex optimization problems. Further, we give sequential characterizations for a subgradient of the precomposition of a K-increasing lower semicontinuous convex function with a K-convex and K-epi-closed (continuous) function, where K is a nonempty convex cone. We prove that several results from the literature dealing with sequential characterizations of subgradients are obtained as particular cases of our results. We also improve the above mentioned statements.     

基于最小二乘加权支持向量机的个人信用预测模型研究

针对不同类别样本数差异和不同误分代价的分类问题，提出了一种基于最小二乘加权支持向量机的分类预测方法。在最小二乘加权支持向量机的基础上，考虑不同类别样本数差异和不同误分代价，提出了新的最小二乘加权支持向量机分类模型，构造了新的最优分类函数。将该模型应用于个人信用预测实验，与已有方法的对比实验结果表明，提出的模型在解决不同类别样本数差异和不同误分代价的个人信用预测问题时，有效地降低了总误分代价，提高了个人信用预测精确度。     

Periodic Wave Solutions for （2＋1）-Dimensional Boussinesq Equation and （3＋ 1）-Dimensional Kadomtsev-Petviashvili Equation

For describing various complex nonlinear phenomena in the realistic world, the higher-dimensional nonlinear evolution equations appear more attractive in many fields of physical and engineering sciences. In this paper, by virtue of the Hirota bilinear method and Riemann theta functions, the periodic wave solutions for the （2＋1）-dimensional Boussinesq equation and （3＋1）-dimensional Kadomtsev Petviashvili （KP） equation are obtained. Furthermore, it is shown that the known soliton solutions for the two equations can be reduced from the periodic wave solutions.     

Secondary Metabolites from the Fungus Chaetomium brasiliense

Two new depsidones, mollicellins I and J ( 1 and 2 , resp.), and a new chromone, 2‐(hydroxymethyl)‐6‐methylmethyleugenin ( 3 ), along with six known compounds, 4 – 9 , were isolated from the ethyl acetate extract of a solid‐state fermented culture of Chaetomium brasiliense. Their structures were elucidated based on spectroscopic analysis. Mollicellins I and H ( 5 ) exhibited significant growth inhibitory activity against human breast cancer (Bre04), human lung (Lu04), and human neuroma (N04) cell lines with GI₅₀ values between 2.5–8.6 μg/ml.     

Multiplicity of periodic solutions for second-order discrete Hamiltonian systems with a small forcing term

Some sufficient conditions for the existence of three periodic solutions are obtained for the second-order discrete Hamiltonian systems with a small forcing term by using a three-critical-point theorem.     

Computer-generated holograms with a commercial microfilm

We have successfully used a commercial microfilm to produce good quality two-dimensional and three-dimensional computer-generated binary holograms.