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Different models for different structure sections are established, namely, one-dimensional piping model for laneway or large hole, two-dimensional structure plane model for absciss layer and contacting weathering zone, three-dimensional seeping fracture section model.

分区建立了采空区不同注浆结构部位的理论模型,包括采空区空洞或巷道的一维"管道"模型、离层与接触风化带等结构面二维模型、导水裂隙带三维模型。

II.Based on the above fundamental solutions,the fundamental solutions ofplane and antiplane problems in two dimensional elasticity body are constructedunitedly by using the reduce dimension technique of integration and consideringtwo dimensional problems as particular cases of three dimensional ones.

将二维问题视为三维问题的特殊情形,由三维问题的基本解,采用积分降维技巧,统一导出了平面问题及反平面问题的单位集中不连续位移基本解;建立了一般边界积分方程;完成了相应的不连续位移边界元方法;给出了在断裂力学中的应用。

Considering the popularity of plane problems, the expressio n of the elastic constant of three-dimensional piezoelectric materials under tw o-dimensional condition were also derived, which made preparations for the two -dimensional theoretic analysis.

考虑到平面问题的广泛性,推导得到了三维压电材料的弹性常数在二维情况下的表达式,为二维理论分析作出了准备。

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。

Early diagenesis has broad and bright prospects not only in theory but also in application, and three future trends are predicted. First, the area of early diagenesis study will be enlarged widely to lake, delta, soil. Then, the stable or nonstable one-dimensional, two-dimensional or three-dimensional multi-layer early diagenesis models will be established, and the methods and theoretical achievements of early diagenesis will be widely applied in environmental sedimentology to supervise and treat environment pollution.

早期成岩作用研究具有广阔的发展前景,未来可能在以下3方面快速取得突破:研究区域将进一步扩大,湖泊、三角洲及土壤中的相应研究将得以加强;多层的稳态或非稳态的一维、二维或三维的早期成岩数学模型将得以建立;其研究方法和理论成果将被广泛应用于环境沉积学及环境监测和治理等领域中。

Poincaré, almost a hundred years ago, knew that a two dimensional sphere is essentially characterized by this property of simple connectivity, and asked the corresponding question for the three dimensional sphere (the set of points in four dimensional space at unit distance from the origin).

大 约在一百年以前,庞加莱已经知道,二维球面本质上可由单连通性来刻画,他提出三维球面(四维空间中与原点有单位距离的点的全体)的对应问题。

Different models for different structure sections are established, namely, one-dimensional piping model for laneway or large hole, two-dimensional structure plane model for absciss layer and contacting weathering zone, three-dimensional seeping fracture section model.

分区建立了采空区不同注浆结构部位的理论模型,包括采空区空洞或巷道的一维&管道&模型、离层与接触风化带等结构面二维模型、导水裂隙带三维模型。

Mandibular teeth and sustentacular tissues extracted from a healthy adult were treated using CT scanning to obtain two-dimensional image, and then a three-dimensional image was established using computer reconstruction technique. Simultaneously, a three-dimensional finite element model of rigid fixed bridge was established in abutments with mandibular 56 deletion.

采用CT扫描获取健康成人下颌牙及其支持组织的二维图像,通过计算机重建技术建立三维立体图像并获得了下颌56缺失后的双端单基牙固定桥的三维有限元数学模型。

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