维数

So using fractal theory box dimension and information dimension can be extracted from signal as the classification feature.

因此利用分形理论从信号中提取盒维数和信息维数作为分类特征，这种特征可包含信号幅度、频率和相位的变化规律，并集中了不同调制信号之间的差异信息。

The fixed point set F of the action of(Z_2)~k on M~n is a disjoint union of closed submanifolds of M~n,which are finite in number.

若F的每个分支具有常维数n-r，则称F具有常余维数r。

The aim of this paper is to construct a class of quasihereditary endomorphism algebras with global dimension ≤3 from the algebras of representation dimension at most three.

介绍了表示维数小于等于3的一类非常重要的代数，并从这类代数出发，构造了一类新的整体维数小于等于3的拟遗传自同态代数。

Fractional integral is an essential branch of fractal theory. In this paper, the authors adopted fractional integral in the evaluation of time series dimension, which has a higher accuracy than other methods such as box dimension, gauge method and so on.

分数阶积分是分形理论的一个重要分支，应用分数阶积分进行时间序列维数估计，其精度比box维数、量规法等方法高。

W. Ehm gave this stochastic processes in 1981, and he obtained most of the exact Hausdorff measure functions for the sets of the range and graph of the processes, excluding some special cases, i.

Ehm在1981年给出了这类过程的定义，并得到了除一些特殊情况（即当稳定过程所在的参数空间的维数与它的特征指标的乘积恰好与稳定过程所取值的空间的维数相等）外，该过程的像集和图集的确切Hausdorff测度函数。W。

The concepts of Hausdorff dimension and measure have been introduced for near one hundred years. There are lots of works have been done on the calculation and estimation of Hausdorff dimension, such as the result of self-similar set which satisfies open set condition.

Hausdorff维数与测度的概念被引入至今己近百年，Hausdorff维数计算与估计的研究己取得相当进展，如关于满足开集条件的自相似集的结果，但对Hausdorff测度的计算而言所得的结果却不多。

There is the Cauchy problem of hyperbolic system with weak damping in Chapter4. In the space of dimension N=1,3, exploiting the semigroup method, the global existence and the decay behavior of the solution with small initial data to problem (about problem with small initial data) is put forward.

当空间维数N=1，3和初值充分小时，利用半群理论得到问题整体解的存在性，并对于整体解给出一致衰减估计；当空间维数N=1 时，利用试验函数方法讨论解在有限时刻爆破的条件。

Finally, the infimum is acquired of Hausdorff dimensions of its polar sets by means of constructing a Cantor-type set to connect Hausdorff dimension and capacity.

同时通过一个特殊的Cantor型集的构造将维数与容度巧妙地结合起来，得到了广义Brownian Sheet极集的Hausdorff维数的下确界。

Fractal and wavelet process inherently multiple-scale property and scale invariant that can be competent for roughness features in textural representation of texture image.

本文主要讨论分形维数理论在纹理图像特征提取方面的应用，首先我们系统地分析了图像处理中分形维数估计的一般计算方法，然后在此基础上做了改进。

Firstly, principal-component transformation is performed with the hel Pof several classification elements such as various directions fractal dimensions of Fractal Brown Motion, Difference Box-Counting dimension and lacunarity and so on.

将图像进行主分量变换，根据第一主分量计算图像的布朗运动的各方向的分形维数，差分盒维数和"空隙"等纹理特征作为分类依据。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。