维数

分形图维数在CAD中的应用

The Application of the Dimension of the Fractal Figure to CAD

-维数，得到了SF.P.降低m，降低f。

Reduce F , m and f. P. - dimension .

在此基础上，得到维数与Red、热释放率及1次风流量等燃烧控制因子的依变关系，并讨论了湍流火焰分维结构的内在机理。

The mechanism of fractal nature in turbulent flame structure is also discussed .

药量和距离对盒维数拟合直线方程参数b的影响明显，且其关系与场地衰减指数α对爆破地震波峰值强度的作用相近。

The effects of explosive charge and the measurement distance on the parameter b are obvious .

薄型PVC材料断裂痕迹分形维数的研究

The Study of Fractal Dimensions of Crack in Thin PVC Slice

Logistic映射中奇怪吸引子的盒维数计算

Calculation of the Box Dimension of the Strange Attractor in Logistic MAP

非退化扩散过程象集和图集的Packing维数

Packing Dimension of Image Set and Graph Set of a Nondegenerate Diffusion Process

但在3维GIS等遮蔽关系的应用领域中，空间对象的维数是多样的。

But in 3D GIS or other occlusion relation applied area , the dimensions of objects are multiple .

Fractal几何与维数

Fractal geometry and dimension

得到了标度指数x和z作为空间维数d和相关指数ρ的函数。

The scaling exponent χ and dynamic exponent z are obtained as functions of spatial dimension d and roughening exponent ρ .

复多项式的Julia集的Hausdorff维数

Hausdorff Dimension for the Julia Sets in Complex Polynomials

位势理论在估计Hausdorff维数中的应用

An Application of Potential Theory in Estimating the Hausdorff Dimension

图G的零维数是指图G的谱中0特征值的重数，记为η（G）。

The nullity of a graph G with order n is the multiplicity of the eigenvalue zero in its spectrum , denoted by η( G ) .

对交换Gr凝聚环上的Gr有限表现维数作了研究，把若干经典的结果推广到分次环和分次模上。

P. dim of Commutative Gr-coherent Rings and some classical results are generalized .

交错跳跃函数之例外集的Hausdorff维数

Hausdorff dimension of exceptional set of alternatively jumping function

广义Hamming重量、维数/长度轮廓与其应用

Generalized Hamming Weight , Dimension / Length Profile , and Their Applications

研究结果表明，最大Lyapunov指数对应的尺度较大，对气泡的行为更为敏感，关联维数和K熵的尺度较小，其变化趋势与乳化相有更好的对应关系。

The research shows the lyapunov exponent is more sensitive to the phase of bubble , the lager scale of the pressure fluctuation signal .

利用VISUALBASIC（简称VB）完成了基于Windows平台的分形维数计算程序的设计，并以直线、矩形、康托尘、科赫曲线等分形图形对其进行了检验。

Programming of the fractal dimension based on Windows platform can be done using Visual Basic and Validated by means of lines , rectangles , Cantor Dust and Koch Curve .

高维空间中代数流形上多项式空间的维数与Lagrange插值适定结点组的构造

The Dimension of Polynomial Space and the Construction of Properly Posed Set of Nodes for Lagrange Interpolation on Algebraic Manifold

将SAR图像的特点与分形理论相结合，提出了一种新的基于区域自选的多尺度分形维数边缘检测方法。

With the combination of SAR image features and fractal theory , a new method of edge detection by calculating the fractal dimension multiscalely is proposed .

通过对图像各个子图的改进不规则分形维数的计算，得到各个子图的指标函数J曲线；

By the calculation of the fractal dimension of each sub-image , the J plot of sub-images is made as a goal function .

建立了分形模型来模拟水泥浆体的空间结构，在此基础上推导出了孔体积分形维数D和孔隙率P、孔径分布的关系式；

A fractal model is established to simulate the spatial structure of concrete slurry , and a formula that describes the relationship among the fractal dimension D , the porosity P and the pore distribution is deduced .

一类Cantor集的盒维数

Box-counting Dimension on a Class of Cantor Sets

根据CT对原状土柱各断面的扫描图像，得到了各断面土壤大孔隙的分形维数，为进一步研究土壤大孔隙的水力性质奠定了基础。

This study obtain fractal dimension of macropore in every section base on the scanning images of undisturbed soil by CT . It establishes the base for further study the hydraulic characteristics of macropores .

针对传统网格法手工计算分维数的不足之处，引入了GIS技术，详细介绍了GIS在网格分维计算中的具体应用方法。

Traditional box-counting method to calculate fractal dimension is far from perfection , so this paper introduces GIS and presents the specific application methods of GIS in calculating fractal dimension in details .

Jacobi形式空间的维数公式

Dimension Formula for Jacobi Forms

在再生解析Hilbert空间上，我们将可迁代数问题约化成对不变图子空间的纤维维数的计算。

On re-producing analytic Hilbert spaces , we reduce the transitive algebra problem to the calculus of fiber dimension of invariant graph subspaces .

Sine-Gordon方程的全局吸引子的维数估计

Estimate of dimension of the global attractor for sine-Gordon equation

进一步，对于一般的Moran测度，我们在一定的限制条件下计算了其Lq维数。

Further , we compute the Lq dimension of a kind of general Moran measure .

我们用非晶结构的位形（信息）熵与信息维数随压力变化的标度关系S1（（？））CC（？）

The relation between the configuration ( information ) entropy and the information dimensionality in amorphous structure could be used to prove our present conclusion .