经典分形集测度上估的计算机搜索Ⅱ──对典型例子Sierpinski垫片计数技术和格点跟踪技术的剖析  

COMPUTER SEARCH FOR THE UPPER ESTIMATION OF HAUSDORFF MEASURE OF CLASSICAL FRACTAL SETS Ⅱ──ANALYSIS OF COUNTING TECHNIQUE AND LATTICE TRACING TECHNIQUE FOR THE TYPICAL EXAMPLE OF SIERPINSKI GASKET

作　　者：王何宇[1] 王兴华[2] 

机构地区：[1]杭州大学计算机基础教学部 [2]杭州大学数学与信息科学系

出　　处：《计算数学》1999年第3期345-354,共10页Mathematica Numerica Sinica

基　　金：国家基础研究攀登计划;浙江省自然科学基金

摘　　要：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.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.

关 键 词：计算机搜索 计数 SIERPINSKI垫片 分形集测度 

分 类 号：O189.12[理学—数学]