欧几里得空间

LMCD是在传统的欧几里得空间中定义的差异，且基于LMCD的统计复杂度只是熵密度的简单形式，很难反映出动力学系统的结构信息和随机本质。

LMCD was defined in the Euclidean space and statistical complexity measure based on LMCD was hard to reflect on the stochastic nature and structure information because it was just a simple form of entropy density .

欧几里得空间建立对偶原理的一种方法

A Method of Establishing Duality Principle for Euclidean Space

两个Schwarzschild黑洞视界表面嵌入欧几里得空间

The Embedding of Event horizon Surface s of two Schwarzschild Black Holes

计算机与建筑：非欧几里得空间的产生过程

Computer and architecture : The process of generation of the Non-Euclidean space

本文证明了：群、欧几里得空间、距离空间和拓扑空间的公理系统的独立性。

It has been proved that the nature of independence exists in the axiomatic system of Group 、 Euclidean space 、 distance space and topological space .

本文将描述欧几里得空间内几何对象的关联维推广到了基于拓扑结构的复杂网络，并据此分析了复杂网络的分形结构。

We generalize correlation dimension describing geometric objects in Euclidean space to complex networks based on topol-ogy , and accordingly analyze fractal structure of complex networks .

本章主要介绍了被广泛应用的欧几里得空间、内积空间、赋范向量空间、巴拿赫空间、希尔伯特空间等，并简单阐述了这些空间之间的联系。

This chapter focuses on the widely used Euclidean space , inner product spaces , normed vector space , Banach space , Hilbert space and briefly discusses the link between these spaces .

通过归一化发电机转子运动方程，将故障后电力系统的动态过程比拟为在n维欧几里得角度空间势能谷中滚动的单位质量小球。

Through the normalized gene-rators ' equations of rotor motion with respect to the center of inertia of power systems , the dynamic process of post-fault power system is analogized as a rolling ball with unit mass in the normalized potential valley of an n-dimensional Euclidean angular space .

在这种情况下，现有的基于欧几里得度量环境的空间数据管理模型就显得过于冗余和低效。

Under such circumstances , existing Euclidean-based methods are ineffective .