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Herein, a self-assembly system with polymer pattern of lower molecular weight polyaerylie acid have been built up, in which some nanosized complex was synthesized, including nanosphere of Pb-PAA, one-dimensional nanorod of CuS-PAA and PbS-PAA, one-dimensional helix nanochain of PbSO4-PAA, and one-dimensional reticulate nanofibres of PbCr2O7-PAA. The mechanism was discussed preliminarily, the important action of the bone angle torsion as well as the ""contact bridge"" served by ion in the course of self-assembly was proposed for the first time.

本文以低分子量聚丙烯酸为高分子模板构建自组装体系,首先合成了几种特殊形态的纳米配合物,包括纳米微球Pb-PAA、一维纳米棒CuS-PAA和PbS-PAA、一维螺旋纳米链PbSO_4-PAA及一维有序纳米纤维网络PbCr_2O_7-PAA,初步讨论了该自组装体系的合成机理,首次提出了键角张力和分子的"搭桥"作用在自组装过程中的作用。

A numerical calculation program is written up for the various solution methods in this paper and the program is being used in various aspects of inverse problem of environmental hydraulics, including inverse problem in reverse process of one-dimensional unstable diffusion, inverse problem in reverse process of convection-diffusion, inverse problem for the dispersion coefficient in water quality model, The inverse problem of coefficient identification for nonlinear Boussinesq equation, parameter identification inverse problem for water quality model, the inversion of parameter of BOD-DO water model, the inverse problem of the source of convection-diffusion, identification of the steady-state permeability for two dimensional isotropic medium, two-dimensional steady inverse problem of convection-diffusion and parameter identification inverse problem for two-dimensional parabolic equation, etc.

对本文提出的各种算法,编制了数值计算程序,并把它应用于环境水力学反问题诸多领域,包括污染物一维非恒定扩散逆过程反问题,对流扩散方程逆过程反问题,河流水质纵向弥散系数反问题,非线性Boussinesq方程反问题,河流水质多参数识别反问题,BOD-DO水质模型参数反演问题,对流—扩散方程源项反问题及二维恒定各向同性介质渗透系数反问题,二维定常对流——扩散方程及二维抛物型方程参数控制反问题等。

In this paper, the current states of research about the basic theory of harmonic oscillator and hydrogen atom in quantum mechanics are firstly reviewed. On base of it, and the relationships between harmonic oscillator and hydrogen atom in quantum mechanics are studied. By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one-dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. Therefore the relationships between energy levels and wave functions of one-dimensional harmonic oscillator and hydrogen atom are found. Through the coordinates transform, the relationships between energy levels and wave functions of two-dimensional harmonic oscillator and hydrogen atom are found.

首先综述了谐振子与氢原子的基本理论的研究现状,并在此基础上对谐振子与氢原子的关系展开了研究,通过厄密特方程与拉盖尔方程的相互转化,将一维谐振子与一维氢原子的本征值方程转化为相同形式的方程,从而比较得出它们能量及波函数间的关系,并通过坐标变换将直角坐标系下二维氢原子的本征值方程转化成与曲线坐标系下二维谐振子的本征值方程相同的形式,从而得出二维氢原子与二维谐振子的能量及波函数的关系。

By decomposing two-dimensional relation into separate one-dimensional relations, then applying one dimensional temporal interval logical concepts in constructing twodimensional interval logic, definitions of relations between twodimensional objects are given.

通过将二维空间关系分解成一维关系,然后借用一维时态区间逻辑关系的思想构建二维区间逻辑,给出了二维对象关系的定义。

Complex V shows a one-dimensional 'Z' chain which are linked into two-dimensional lamellar structures by weak π-π stackings. Complex VI shows one-dimensional chiral helical chains which are linked into molecular zipper. Both complexes show strong blue photoluminescent under R.T. Complexes VII and VIII are monometallic complexes of Fe.

由对苯二甲酸形成的化合物Ⅴ是由一维的'Z'型链组成的,链链之间通过π-π弱相互作用形成了二维结构;而由间苯二甲酸形成的化合物Ⅵ是由一维的手性螺旋链组成的,链链之间通过π-π相互作用形成拉链状的二维结构,Ⅴ和Ⅵ在室温下具有强荧光。

A classical one dimensional sandpile model was researched in this paper, the model can not explain the self-organized criticality phenomena which appearing in one dimensional rice pile, so we did some mend on this model and make it including avalanche probability, with the new model we explained the SOC phenomena appearing in one dimensional grain pile.

本文考查了一个经典的一维BTW沙堆模型,发现它不能描述实验中已观察到的一维米粒堆的自组织临界现象,因此本文对经典一维BTW模型进行了改进,建立了一个含崩塌概率的一维沙堆模型,并用该模型解释一维米粒堆中出现的自组织临界现象。

SOC phenomena does not appears in classical one dimensional sandpile model, but for two or three dimensional model, it does. However, some people did some experiments with rice and find the SOC existing in one dimensional rice pile, it is not fit with the classical sandpile model. Nobody explained this phenomena.

在经典的一维沙堆模型中,沙堆崩塌时并没有出现自组织临界现象,只有在二维以上的沙堆模型中才出现自组织临界现象,然而,后来有人用米粒做实验,发现一维米粒堆中存在自组织临界现象,这与经典的一维沙堆模型相违背,但是却没能对这种现象作出一个较好的解释。

One-dimensional linear projection methods includes Eigenface method and Fisherface method and so on.Two-dimensional linear projection methods includes two-dimensional principal component analysis and two-dimensional linear discriminant analysis,as well as a series of their expanded methods and so on.

其中,基于一维线性投影的方法包括特征脸方法和Fisher脸方法等;基于二维线性投影的方法包括二维主成分分析和二维线性判别分析,以及它们的一系列拓展算法等。

For example, the zero-dimensional, one-dimensional line, the two-dimensional surface, the three-dimensional to three-dimensional, as well as four-dimensional space-time.

比如,零维的点、一维的线、二维的面、三维的立体、乃至四维的时空。

It has long been accustomed to the definition of zero-dimensional point, a straight line for the one-dimensional, flat for the two-dimensional, space for three-dimensional, Einstein

长期以来人们习惯于将点定义为零维,直线为一维,平面为二维,空间为三维,爱因斯坦在相对论中引入时间维,就形成四维时空。

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