1) Box dimension
盒维数
1.
On box dimensions of river basins of China;
中国水系的盒维数及其关系
2.
A Result on Modified Box Dimension;
关于修改的盒维数的一个结果
3.
From the point of view of engineering application, it introduces the algorithm of box dimension and information dimension for discrete time series and reveals the inherence relation between the fractal dimension and signal complexity by calculating the fractal dimensions of three simulating signals.
从工程应用角度介绍了离散时间序列盒维数和信息维数的计算方法,通过对三种仿真信号分维数的计算,揭示出分维数与信号复杂程度之间的内在联系,并通过实验研究了刀具在整个磨损历程中切削力信号分维数的变化规律。
2) box-counting dimension
盒维数
1.
Start with the unit interal [0,1],using a sequence of decreasing dissection ratios,gets a Cantor set and give its box-counting dimension when the sequence limit exists.
以[0,1]区间为研究对象,利用单调递减的分割比例序列构造了Cantor集E,给出了该序列极限状态下E的盒维数。
2.
Based on the calculation method of box-counting dimension and digital image memory principles,the relationship between digital image and pixels matrixs as well as narrating how to obtain fractal figures from binary images was discussed.
依据盒维数算法思想及数字图像存储原理,探讨了数字图像像素矩阵与图形之间的关系以及如何通过图像二值化获取分形曲线图形。
3.
This paper introduces the definition of box-counting dimension and its theoretical solution algorithm in fractal theory and gives the computation method of fractional dimension in discharge hydrograph.
介绍了分形理论中盒维数的定义及其理论求解方法,给出了流量过程线的分维估算方法;运用此理论研究了雅砻江锦屏二级电站猫猫滩闸址处典型年天然月平均流量和人工调节下泄的月平均流量过程线的形态特征。
3) box counting dimension
盒维数
1.
The box counting dimension was implemented to quantitatively describe the characteristics of the acoustic emissio.
此外,采用经典欧式几何方法描述声音信号误差较大,提出了用曲线盒维数作为特征值来量化具有混沌特性的点焊声音信息,结果表明,盒维数能反映点焊质量微小变化,可提高质量检验的准确性。
2.
According to the non-linear character of voltage signal during aluminum alloy spot welding,the nugget quality is quantitatively described by using the Box Counting Dimension as the characteristic parameter for the first time.
针对铝合金点焊过程中电压信号的非线性特点,从分形理论出发,首次尝试利用盒维数作为特征量对点焊质量进行定量描述。
3.
On the basis of the fractal theory, general form and calculation method of the fractal characteristic are given, that is the calculation model of non-close fractal curve length and closed area, and box counting dimension algorithm.
基于分形理论,给出了分形特征的一般形式及其计算方法———非闭合分形曲线长度与围成面积的估算模型和盒维数的算法。
4) Box-dimension
盒维数
1.
In consideration of the time-varying instability of the power and character of the sea clutter,authors present a modified method with the rotation hyper-box classification for detection,and use the simpler box-dimension character extraction for preprocessing to reduce the computation load.
考虑到海杂波功率与特征的时变不稳定性 ,本文提出运用旋转超盒分类取代这一方法中的NP CFAR进行目标检测 ,并探讨了运用盒维数特征提取进行预处理以节省运算开销的问题 。
2.
In order to study the fractal characteristic of blasting seismic wave,the box-dimension model was established based on the fractal theory.
为深入研究爆破地震波的分形特性,采用分形理论中的盒维数方法,针对爆破地震信号的传播规律和特征,建立了其分形盒维数模型,结合在岩石场地进行深孔爆破的试验数据,计算了爆破震动信号的分形盒维数值D。
5) box dimension
计盒维数
1.
Since box dimension doesn t have countable stabilization, for all positive number s<n, where is a integer, we can find a countable compact set F of Rn whose box dimension equals to s.
对n维实数空间上紧的可数集的计盒维数的若干性质进行讨论。
2.
An arithmetic for calculating box dimension of a time-sequence is put forward, and a gearbox is regarded as a typical device.
以齿轮箱为研究对象 ,给出了时间序列计盒维数的计算方法 ,探索利用分形理论进行旋转机械故障诊断的方法。
3.
Using the quaternion expansion of the shifting number ,we determined the fractal structure of intersection of sierpinski footcloth with their translates, and set up the fundamental properties of Box dimensions of those intersection sets.
研究Sierpinski地毯平移交集的计盒维数,发现它与平移长度有关,利用移位t的四进展开式,给出一递归集,得到Sierpinski地毯平移交集的分形结构,并建立这些交集计盒维数的基本性质。
6) box-counting dimension
计盒维数
1.
In accordance of the property of 2-value digital image,the principle and method of calculating SPFD adopting box-counting dimension were minutely discussed basing on the fractal theory.
利用Matlab软件对煤焦燃烧过程中的SEM图像进行分析处理,得到了煤焦表面孔的二值化图像及其对应矩阵,并针对二值化数字图像的特点,借助分形理论详细论述了计盒维数计算SPFD的原理及方法,为研究燃烧过程中煤焦表面结构变化提供了一种计算方法。
2.
Fractal properties of ultrasonic signal are researched based on normalized scale box-counting dimension method successfully.
基于归一化尺度计盒维数方法研究了超声波分形特征。
3.
The objective of this study is to analyzes the scale variation and the spatial patterns of Picea crassifolia populations in Qilian Mountains,using box-counting dimension,information dimension and correlation dimension,and to identify the relationships between the spatial pattern and some selected environmental factors.
应用计盒维数、信息维数和关联维数对祁连山主要森林类型青海云杉(Picea crassifolia)种群空间格局进行的研究表明:青海云杉种群格局计盒维数在0。
补充资料：等维数理想
等维数理想
eqtn-dhneraional ideal
等维数理想[仰‘一山m改‘.目油川;IlecMeluaHll“‘期e幼〕 (在某个域k上有限生成的)整区R的一个理想m，它具有如下性质:在准素分解m=勿;，n…门勿，中，所有与准素理想勿，，…，汤，相伴的素理想玛，’’、平:皆有相同维数，也就是说，对所有i，商环R/叭皆有相同的为间1维数.这一共同的维数称为等维数理想m的维数(由nrns沁noftheeq山~dinrnsjonalideal). 如果R是某一仿射簇X上的正则函数环，那么R的一个理想m是等维数的，当且仅当由m所定义的子簇YC=X的所有不可约分支都有相同维数. 月.B.K”~撰【补注】一个等维理想也称为非混合理想(坦爪血比记份1).人们有时也用(理想的)“等维数”(闪w，dinrn，s沁n)来替代术语“等维数理想的维数”. 整闭的Noc公rr整环是一个整区，它的所有主理想是等维数的，【AI]，p.l%.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条