A class of symmetric cantor set is constructed with zero Hausdorff dimension together with its multidimensional character.

This paper gives the proof of the multidimension of a class of homogeneous Cantor set with zero Hausdorff dimension.

The paper is based on the idea of combining fractal theory with information theory to establish a correspondence between multifractal dimensions of chaos game representation of proteins and Rényi entropy rate of symbolic sequences via probabilistic measure μ.

This paper aims at the multifractal approach to describe quantitatively or semiquantitatively the characteristic and spatial relationship between the fault's displayment and the ore tubes(dikes) distribution.

The clinical value of spiral CT 3-dimensional reconstruction in injures of temporo-mandibular joint;

The damage tensor, filled fractal dimension and multifractal dimension values of jointed rock mass of each measuring points in the tunnel are computed in Jiefanggou dam,Jinping hydroelectric power station.

Relationships between statistical physics and message entropy,between message entropy and message dimension,between generalized entropy function and multifractal dimension are indicated,and accordinglysome physical foundations for message theory and its foremost application are given.