等距

The paper proposes two new dimension reduction algorithms: The First is On the Expected Distortion Bound of Direct Random Projection. The second is Anchor points based Isometric Embedding under least square error criterion. On the Expected Distortion Bound of Direct Random Projection has a time complexity of O.

本文分别提出了两种新的维数约减算法：(1)基于期望扰动的直接随机映像算法On the Expected Distortion Bound of Direct Random Projection，简称DRP(2基于锚点集的最小平方误差等距嵌入算法(Anchor points based Isometric Embedding under least square error criterion，简称AIE)。

The isometric surface of the free form surface is generated for NC machining of the negative or positive model of the free form surface.

通过求等距面的方法，本论文解决了数控加工中的阴阳模加工问题。

Based on the hypothesis that there is an isometric mapping between the data space and the parameter space, Isomap works, but this hypothesis has not been proved.

Isomap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。

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。

Using the soliton theory we obtain a method to contract isometric immersions from indefinite space forms into indefinite space forms with the same index.

我们利用孤立子理论得到了构造有相同指标的不定度量空间型到不定度量空间型的等距浸入的方法。

Characteristics of the Internet traffic data flow are studied based on the chaos theory. A phase space that is isometric with the network dynamic system is reconstructed by using the single variable time series of a network flow. Some parameters, such as the correlative dimension and the Lyapunov exponent are calculated,and the chaos characteristic is proved to exist in Internet traffic data flows. A neural network model is constructed based on radial basis function to forecast actual Internet traffic data flow.

摘 要：应用混沌理论，分析了网络流量，用单变量的网络流量时间序列重构与网络动力系统等距同构的相空间，进而计算了实际网络的关维数和Lyapunov指数，并证实了网络流量存在混沌特性；据此建立了基于径向基函数神经网络的模型，并对实际网络数据流进行了预测。

Using the soliton theory we obtain a method to contruct isometric immersions fromindefinite space forms into indefinite space forms with the same index.

靳红 ，陈维桓我们利用孤立子理论得到了构造有相同指标的不定度量空间型到不定度量空间型的等距浸入的方法。

The curvature radius was derivated and the contact stress of the three-arc-sect isometric type surface was calculated through the elastic dynamics theory.

应用弹性力学理论，推导出接触点的曲率半径，对三弧段等距型面联接进行接触应力计算。

But unlike SimCity, City Life features three dimensional (3D) game engine instead of a fixed isometric view.

但不同的模拟城市，城市生活功能的三维的游戏引擎，而不是一个固定的等距的看法。

3D isometric view for total immersion into the ring.

三维等距的看法总沉浸到环。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新