维数

High Efficient dimension reduction algorithm is a method of processing high dimensional mass data and has certain practical application value.

高效的维数约减算法是对高维海量数据处理的一种有效方法，且具有一定的实际应用价值。

The structure of R with small homological dimension is discussed.

至于整体维数有限的左右Noether局部环是否是整环，至今尚未解决。

So in chapter 2, we use P-flat and P-injective modules to characterize some important rings, like SF-rings, Von Neumann regular rings and Coherent rings, etc. In chapter 3, we introduce the homological dimension of P-flat and P-injective modules.

众所周知，正是由于研究各类模以及它们的同调维数，人们才能对环得到更深层次的性质的描述，所以在第二章中，我们就利用了P-平坦模与P-内射模来刻划几种重要的环，如SF环、Von Neumann正则环、凝聚环等。

In this paper, some fractal characters of colony and hypha were introduced and the possible mechanism of these phenomena were discussed.

分形理论是以局部的某些特征来解释整体，微生物的生长形态可以用分形维数来定量描述。

On the base of analysis,two methods are given in this paper. One is the model simplification technology which reduces identity matrix K dimension considerably, and the other is the improved iteration method which reduces the amount of calculating work from n' to n.

通过研究和分析，提出两种提高系统模型计算速度的方法，一是采取模型简化技术，从而大大降低了系统特性矩阵的维数；二是改进常规的迭代计算方法，它避免了"0"元素的存储和计算，从而将计算工作量从二次方级降至一次方级。

Similar to the case of order 3, the Jacobason radical of Γ_n, the simple objects and indecomposable projective objects of Γ_n~L are determined,we also give a estimate of the global dimension of Γ_n.

类似于三级三角矩阵环的情形，我们也确定了Γ_n的Jacobson根，Γ_n~￡的单对象和不可分解投射对象以及Γ_n的整体维数的估计等。

In this paper,we determine J_~(2~k+2v)by constructing ingeniously indecomposable manifolds M,which can be generators in MO_*,and defining appropriate(Z_2)~k-action on M.

在本文中，我们通过巧妙地构造流形M，使其所在的上协边类不可分解，从而可以作为上协边环MO_*的生成元，并在M上定义适当的(Z_2)~k作用使其不动点集F具有常余维数r，决定了未定向上协边环MO_*的理想J_~(2~k+2v)。

The results show that the reservoir's inhomogeneity is stronger, the well-logging's fractai dimension is higher.

研究结果表明，储层的非均质性越强，测井曲线的分维数越大。

The results show that the reservoir's inhomogeneity is stronger, the well-logging's fractal dimension is higher.

研究结果表明，储层的非均质性越强，测井曲线的分维数越大。

In this paper, we further research P-injective modules, define the concept of prime injective modules and prime injective dimension of module, and discuss the properties of them.

本文在[3]的基础上进一步研究了P-内射环，对于交换环我们引入了素内射模和模的素内射维数的概念，讨论了它们的性质。

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。