Box Counting Dimension of Functional Digraph in 3 Dimensional Space
Rongfei Xu · Journal of Anhui University of Technology · 2007
δ-oscillation of curve in 3 dimensional space is defined and studied,then the dimension formulation is obtained.According to this dimension theorem,the box counting dimension of the digraph of the sum of the two functions in 3 dimensional space is established.The maximum box counting dimension of the two functional digraphs plays a decisive part in the box counting dimension of the digraph of the sum of the two functions in 3 dimensional space.