A upper estimate function v(x) of Hausdorff measure H’(S) of Sierpinski Gas-ket is given. A mathematical representation of the upper approximate value uN(x)to u(x) and a simple algorithm of uN(x) based on lattice tra...A upper estimate function v(x) of Hausdorff measure H’(S) of Sierpinski Gas-ket is given. A mathematical representation of the upper approximate value uN(x)to u(x) and a simple algorithm of uN(x) based on lattice tracing technique are also derived. As a simple corollary, the estimation H’(S) min u15(n 10-5)=u15(0.50783)=0.81794’is obtained.展开更多
The upper estimation of Hausdorff measure for Sierpinski gasket has beengreatly hoprovd in Refs. [1, 2]. As the basis of these two works, the codingteclmique of the upper estimation seardsng for regular fractal sets o...The upper estimation of Hausdorff measure for Sierpinski gasket has beengreatly hoprovd in Refs. [1, 2]. As the basis of these two works, the codingteclmique of the upper estimation seardsng for regular fractal sets on computerdiscusses thoroughly in this paper through a troical example of Sierpinski gasket.展开更多
文摘A upper estimate function v(x) of Hausdorff measure H’(S) of Sierpinski Gas-ket is given. A mathematical representation of the upper approximate value uN(x)to u(x) and a simple algorithm of uN(x) based on lattice tracing technique are also derived. As a simple corollary, the estimation H’(S) min u15(n 10-5)=u15(0.50783)=0.81794’is obtained.
文摘The upper estimation of Hausdorff measure for Sierpinski gasket has beengreatly hoprovd in Refs. [1, 2]. As the basis of these two works, the codingteclmique of the upper estimation seardsng for regular fractal sets on computerdiscusses thoroughly in this paper through a troical example of Sierpinski gasket.
