Weighted Hardy and Rellich inequality on Carnot groups

We prove some weighted Hardy and Rellich inequalities on general Carnot groups with weights associated to the norm constructed by Folland’s fundamental solution of the Kohn sub-Laplacian.     

Synthesis and crystal structures of silver(I) complexes of 3(5)-methyl-5(3)-phenyl-1<Emphasis Type="Italic">H</Emphasis>-1,2,4-triazole: two isomeric infinite chains coexisting in the same crystal

Reactions of 3(5)-methyl-5(3)-phenyl-1H-1,2,4-triazole (3-Me-5-Ph-tzH) with AgNO₃ in the absence/presence of NH₃ yield a mononuclear [Ag(3-Me-5-Ph-tzH)₂]NO₃·3H₂O (1) and a polymeric [Ag(3-Me-5-Ph-tz)]_n (2), respectively. Two structurally different infinite chains, however, with the same formula of AgC₉H₈N₃—one is double-decked and the other single zigzag—coexist in 1:1 ratio in the crystal of 2. As far as we know, 2 is the first binary silver(I) complex based on an asymmetric triazole and represents a rare case of two supramolecular isomers coexisting in the same crystal.     

Fracture dynamics problem on mode I semi-infinite crack

By means of the theory of complex functions, fracture dynamics problems concerning mode I semi-infinite crack were studied. Analytical solutions of stress, displacement and dynamic stress intensity factor under the action of moving increasing loads Pt ³/x ³, Px ³/t ², respectively, are very easily obtained using the ways of self-similar functions. The correlative closed solutions are attained based on the Riemann–Hilbert problems.     

Facile fabrication of porous pure and Ag nanoparticle-doped poly(4-vinylpyridine) films at the liquid-liquid interfaces

We reported an interfacial self-assembly of regularly layered porous poly(4-vinylpyridine)(P4VP) films at the interfaces of water-chloroform or -dichloroethane.The porous diameters were in the range from hundred nanometers to several micrometers.It was revealed that formation of such kind of porous materials was solvent dependent.Moreover,cyclic Ag nanoparticles could be grown in the porous P4VP films to form Ag-P4VP nanohybrids under radiation.     

High selectively oxidative bromination of toluene derivatives by the H_2O_2-HBr system

An aqueous solution of hydrogen peroxide and hydrogen bromide illuminated by a 60 W incandescent light bulb serves as a source of bromine radicals.Various substituted toluenes（NO₂,Cl,Br,H,CH₃） were high selectively brominated at the benzyl position for monobromination in CH₂C1₂ at ice water with catalyst free.This simple but effective bromination of toluene derivatives with an aqueous H₂O₂-HBr system is characterized with the use of inexpensive reagents and a lower impact on the environment, which make it a good alternative to the existing bromination methods.     

环戊噻嗪的合成工艺改进

以溴代环戊烷和丙二酸二乙酯为起始原料,经缩合、水解、脱羧、还原、氧化、环合六个步骤合成了目标化合物环戊噻嗪;所得产物结构经核磁共振氢谱和质谱确证,产物纯度经高效液相色谱(HPLC)归一化法测定.结果表明,目标产物总收率可达25.5%,纯度为99.4%;经过改进的工艺条件稳定,操作简便,收率明显提高,适合于工业化生产.     

Prediction of interaction between small molecule and enzyme using AdaBoost

The knowledge of whether one enzyme can interact with a small molecule is essential for understanding the molecular and cellular functions of organisms. In this paper, we introduce a classifier to predict the small molecule– enzyme interaction, i.e., whether they can interact with each other. Small molecules are represented by their chemical functional groups, and enzymes are represented by their biochemical and physicochemical properties, resulting in a total of 160 features. These features are input into the AdaBoost classifier, which is known to have good generalization ability to predict interaction. As a result, the overall prediction accuracy, tested by tenfold cross-validation and independent sets, is 81.76% and 83.35%, respectively, suggesting that this strategy is effective. In this research, we typically choose interactions between small molecules and enzymes involved in metabolism to ultimately improve further understanding of metabolic pathways. An online predictor developed by this research is available at . Electronic supplementary material The online version of this article (doi:) contains supplementary material, which is available to authorized users.