查询词典 odd dimensional space

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。

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In this paper, resource and feature of three-dimensional data model to the arch tunnel and interior installation are mainly researched; design thinking of the arch tunnel model is given out; algorithms of three-dimensional model about tunnel body and the joint part of the adjacent to tunnel body are achieved; in addition, relevance algorithms of texture mapping technology to interior in tunnel body and three-dimensional model of interior installation of tunnel are also researched.

主要研究了拱形巷道及其内部设备三维建模的数据来源和特点；给出了拱形巷道建模的设计思路；研究了实现巷道体和相邻巷道体之间连接处三维建模的算法；另外也研究了实现巷道体内部纹理贴图技术及巷道内部设备三维建模的相关算法；研究了实现三维巷道漫游的算法。

In this paper, we have studied the dimensional effects, electronic state, the configurations of charge density and spin density for quasi-one-dimensional organic ferromagnets. First, considering interchain interaction, the itineracy of electrons, the electron-electron correlation, electron-phonon interaction and spin correlation in low dimensional system, we proposed an interchain coupling theoretical model for conjugated system and non-conjugated system of organic polymer ferromagnets, respectively. Based on the theoretical model, we studied the electronic property, spin structure, the configuration of dimerization and the stability of the ferromagnetic state with a self-consistent iterative method.

首先我们在考虑准一维有机铁磁体的链间相互作用、电子的巡游性、强的电子-电子关联、电子-声子耦合、自旋关联等因素的基础上，分别对两种类型的有机高聚物铁磁体各自提出一个包含链间耦合的理论模型，用自洽迭代的数值计算方法对其电子性质、自旋结构、二聚化特征及铁磁态的稳定性进行了研究。

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。

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。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。