查询词典 three dimensional

In two inequalities concerning the circumradius and inradius of an n dimensional simplex in the n dimensional Euclidean space E n were obtained, Thus, the n dimensional Euler inequality and the inequality in , were improved.

给出了n维欧氏空间En中的两个关于单形外接球半径和内径的几何不等式，同时进一步改进了文［1］和［2］中的n维欧拉不等式。

In particular,the C-Autoencoder provides such a bi-directional mapping between the high-dimensional data space and the low-dimensional manifold space and is not only able to overcome the inherited deficiency of most nonlinear dimensionality reduction methods that do not have an inverse mapping but also especially suitable for dimensionality reduction and reconstruction of high-dimensional continuous data.

特别地，这种连续自编码网络可以提供高维连续数据空间和低维嵌套结构的双向映射，不仅有效解决了大多数非线性降维方法所不具备的逆向映射问题，而且特别适用于高维连续数据的降维和重构。

In this paper, the existence of isometric mapping between the manifold in the high-dimensional data space and the parameter space is proved. By distinguishing the intrinsic dimensionality of high-dimensional data space from the manifold dimensionality, and it is proved that the intrinsic dimensionality is the upper bound of the manifold dimensionality in the high-dimensional space in which there is a toroidal manifold.

首先给出了高维数据的连续流形和低维参数空间之间的等距映射存在性证明，然后区分了嵌入空间维数、高维数据空间的固有维数和流形维数，并证明存在环状流形高维数据空间的参数空间维数小于嵌入空间维数。

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。

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。