简单1维数字流形的积空间中数字复叠的笛卡尔积的Deck变换群

首先提出了简单1维数字流形的概念,接着研究了简单1维数字流形的具有C-相容邻接关系的笛卡尔积空间中的数字图像.进一步,为了研究数字复叠的笛卡尔积的Deck变换群,利用半径2-(k_(i2),k_(i1))-局部同胚的性质来体现数字复叠的笛卡尔积的Deck变换群在从数字拓扑的角度来比较数字积空间时的优势.此外,通过强调C-相容的必要性修正了文献(Han S E.Comparison among digital fundamental groups and its applications[J].Information Sciences,2008,178(8):2091-2104)中的一个错误.利用本文的方法,可以从本质上区分数字积图像,从而使得数字图像的研究内容更加丰富.     

挖掘基本图形 突破中考压轴题

本文从不同角度出发,对2022年贵阳市中考数学第16题的解法进行深入研究.通过挖掘基本图形,建立起已知条件与所求量之间的逻辑关系,给出问题的三种求解思路,得到五种基本解法.一是构造全等三角形,利用全等三角形的性质求解;二是挖掘相似三角形和直角三角形,利用勾股定理列方程求解;三是构造辅助圆,借助圆的性质求解.最后,得出与本题有关的两个基本结论.     

Crystal Structure of Chlorinate （N,N-1,3-Dibenzyl-benzimidazole） Hydrate

1 INTRODUCTION Benzimidazole is an interesting heterocyclic ring because it is present in various naturally occurring drugs, such as omeprazole, astemizole and emedastine difumarate[1]. The efficacy of substituted benzimidazoles in the treatment of parasitic infections is well known[2～4], and the pharmacophores in parasitic chemotherapy are established by benzimidazole-substituted moieties. Bis(2-benzimidazoles) and some substituted bis- (benzimi-dazol-2-yl) alkanes have attracted much…     

智能型水凝胶

智能型水凝胶是一类具有广泛应用前景的功能高分子材料，但由于传统水凝胶存在一些缺点因而限制了其应用，因此近年来围绕提高传统水凝胶的性能做了大量研究工作。本文从四个主要方面综述了近年来智能型水凝胶改性的研究进展。     

Description of the Structure and Properties of Atactic Polystyrene Melt Using Integral Equation Theory

The polymer reference interaction site model （PRISM） integral equation theory was used to describe the structure and thermodynamic properties of atactic polystyrene （aPS） melt, in which the monomer of aPS is represented with an eight-site model to characterize its microstructure. The intramolecular structure factors needed in the PRISM calculations were obtained from single chain MD simulations. The calculated results indicate that the results by the integral equation method agrees well with experiments, and can reflect the fine microscopic structure of real aPS melt. This work shows that the PRISM theory is a powerful tool for investigating the structure and properties of complex polymers.     

A,C-Bridged Calix[6]arene： Relationship between the Length of Bridge and Conformation

Three new A,C-diamide bridged p-tert-butylcalix[6]arenes were synthesized from p-tert-butylcalix[6]arenes by bridging ClCH2CONH(CH2)nNHCOCH2Cl(n=3,4,6) in acetonitrile using K2CO3 as a base in 17%-25% yields.It was found that the bridged calix[6]arenes with shorter bridges (n=2,3,4 in N′,N′-bischloroacetodiamines) adopt cone conformation, but the last one (n=6) adopts alternate conformation, i.e., accompanying the lengthening of bridge, the conformation of A,C-bridged calix[6]arenes changes from cone to alternate.     

应正确阐述结构、构造、构型和构象等基本概念

通过对构造、构型与构象概念之间的联系与区别，以及差向异构体定义问题的讨论，针对现行教材中存在的不足，从概念的严密性上进行了比较深入的分析，指出了规范有机化学中的基本概念的必要性和可行性。     

四-α-(2，2，4-三甲基-3-戊氧基)酞菁金属配合物(M=Co，Ni，Cu，Zn)的合成与光谱性质(英)

A series of [tetra-α-(2,2,4-tirmethyl-3-pentoxy) phthalocyaninato] metal complexes(M=Co, Ni, Cu, Zn)were prepared by cyclotetramerization of 3-(2,2,4-tirmethyl-3-pentoxy)phthalonitrile with corresponding anhydrous metal salts， using 1.8-diazabicyclo[5.4.0] undec-7-ene (DBU) as the catalyst. HPLC analysis shows that one isomer predominates in the product of nickel complex, while at least two main constitutional isomers exist in the product of other metal complexes. The complexes (in the form of mixture of constitutional isomers) were characterized by elemental analyses, MS, IR and UV-Vis spectroscopy.     

Z~d-作用下的Bowen拓扑熵理论

在Z~d-作用下定义了Bowen维数熵,研究了Z~d-作用下Bowen维数熵的一些性质,证明了X中的任意子集的Bowen维数熵可以通过该子集中的点的测度下局部熵估计.     

线弹性问题的一个四面体元分析

构造了一个新的locking-free非协调四面体元,研究了单元对三维纯位移弹性问题的一致收敛性,得到了最优的误差估计结果.