维数

In this paper, we study syzygies of injective resolvent s and cosyzygies of injective resolutions, and probe the relationship of injective resolvent s and injective resolutions, and then prove that if R is a Noetherian ring with id≤n, then every left R-module has injective dimension at most n or ∞.

研究了内射预解式的合冲模与内射分解式的上合冲模，并探讨了内射预解式与内射分解式之间的联系，证明了如果环R是Noether环且id≤n，则每个左R-模的内射维数小于等于n或者为∞。

According to the fact that a round of all the points must be inscribed circle round, the black and white points of the edge image were extracted, and a twodimensional array accumulator was established.

根据圆上所有点的内切圆必经过圆中心的事实，提取黑白边缘图像来建立二维数组累加器，依照像素点分布扫描边缘图像，累加器计数，计算出圆心位置，对每个圆心进行半径累积，确定同心圆半径集。

Sets as its aim to obtain an integral representation of the holomorphic functions on the analytic subvariety of strict pseudoconvex polyhedron in space C n.

通过在Cn空间中强拟凸多面体域的复补维数为m（1≤m＜n）的子流形上构造积分核，得到该复子流上的全纯函数的积分表示公式。

The main difficulties in the study of the dimension of the intersection lie in that the number of similitudes used in the construction may vary from step to step.

研究这一类交集维数的难点主要在于每一层迭代中相似变换的个数总是变化的。

Then,the dimension of the vector is linearly reduced by ONPP,thus effectively preserving the intrinsic neighborhood geometry of the vector and the global geome...

实验结果表明，基于DT-CWT的ONPP算法可以在特征维数有效降低的前提下很好地完成人脸识别任务。

The property of the invariant set and measures dimension of the IFS are main objects in the studying of fractal geometry.

完备度量空间上迭代函数系统的不变集性质及测度的维数是分形几何研究的主要对象。

In chapter 2, first of all,we characterize subspace V_0 of multiresultion analysis {V_j}_~ based on invariant subspace. Subsequently, we consider the equivalent conditions among orthogonal multiwavelet Ψ=(Ψ_1,Ψ_2,...Ψ_r)~T, subspace, basis and dimension of subspace, properties of filter function matrix P are dealt with.

第二章讨论了多尺度分析{V_j}_~中子空间V_0的性质，进而讨论了多尺度分析生成的多重正交小波Ψ=(ψ_1，ψ_2，…，ψ_r)~T和子空间V_0以及基和维数之间的等价关系，分析了滤子函数矩阵P的性质，最后给出了r阶矩阵函数P生成尺度函数Φ的充分条件。

This paper analyzes irrational number series of square root of 2 and e in six aspects involving autocorrelation function,Power Spectral Density,phase space construction,correlation dimension,Principal Component Analysis and maximal Lyapunov exponent.

将已提出的π序列定义和分析方法推广到无理数领域，引出了无理数序列，并以常用的无理数根号2、e为例，对无理数序列的自相关、功率谱、相空间、关联维数、最大Lyapunov指数和主分量等6个方面进行深入分析。

We show that for any subshift of finite type determined by an irreducible and aperodic matrix, there is a finitely chaotic set with full Hausdorff dimension.

指出：对于由本原方阵所决定的符号空间有限型子转移而言，存在满Hausdorff维数的有限型混沌集。

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 split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。