查询词典 three dimensional torus

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。

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。

In recovering a low dimensional parametrization of data lying on a low dimensional submanifold in high dimensional space, we need to understand and grasp the structure of image of the Laplacian Eigenmap.

在揭示建立在高维数空间中的一个低维子流形中的一个低维数的确定参数时，我们需要去了解并领会拉普拉斯特征映射的像的构造。

Isomap is a nonlinear dimensionality reduction method proposed and based on the theory of manifold. It not only can reveal the meaningful low-dimensional structure hidden in the high-dimensional observation data, but can recover the underlying parameter of data lying on a low-dimensional submanifold.

Isomap是提出的一种有效的基于流形理论的非线性降维方法，它不仅能够揭示高维观察数据的内在结构，还能够发现潜在的低维参教空间。

T not only can reveal the meaningful low-dimensional structure hidden in the high-dimensional observation data, but can recover the underlying parameter of data lying on a low-dimensional submanifold.

somap的理论基础是假设在高维数据空间和低维参数空间存在等距映射，但并没有进行证明。

Use of tensor product can be from one-dimensional analysis directly from the two-dimensional multiresolution analysis, thus conveniently be constructed of two-dimensional wavelet and wavelet packet and the corresponding decomposition and synthesis algorithms.

利用张量积方法可以从一维多分辨分析直接得到二维的多分辨分析，从而方便地构造得到二维小波和小波包以及相应的分解和合成算法。

The 12th dimensional sun that remained was only 1/3 of Maldek's original size; and now there was a series of five fifth dimensional suns and twenty five third dimensional planets that were born as a result of her explosion.

留下的第十二维度的太阳仅是马尔戴克最初尺寸的1/3；而现在五个第五维度的太阳和二十五颗第三维度的行星们即诞生于马尔戴克的爆炸。

Since most of the studies are based on the Hardy space and the Bergman space of the unit disk, there is still a lack of their properties on the higher dimensional region for the reason that the topological boundary of the higher dimensional region is very complicated and the multi-dimensional complex analysis theory is very whimsical, which make it difficult to be extended.

但对于多变量的Toeplitz算子和Hankel算子还有很多基本问题没有解决，对它们的研究也变得更加困难。一个很重要的原因就是高维区域的拓扑边界变得非常复杂以及多元复分析理论在其中的应用也更困难。

Alternatively, the con- trollers can use the synchronous rectifier itself or loss- less inductor current-sensing methods to provide overload protection with lower power dissipation.

另外，康威特罗勒斯可以使用同步整流器本身或亏损减少电感电流检测方法，以提供低功耗过载保护。

Mr. Dauber's other Schatz hangs in his home movie studio.

多伯把沙兹的另一件作品挂在家里的电影室。