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
경전분형집측도상고적계산궤수색II--대전형례자Sierpinski점편계수기술화격점근종기술적부석
COMPUTER SEARCH FOR THE UPPER ESTIMATION OF HAUSDORFF MEASURE OFCLASSICAL FRACTAL SETS II--ANALYSIS OF COUNTING TECHNIQUE ANDLATTICE TRACING TECHNIQUE FOR THE TYPICAL EXAMPLE OF SIERPINSKI GASKET
  • 万方数据
    计算数学 계산수학
    MATHEMATICA NUMERICA SINICA
    1999年 3期 345-354 ,共10页

    王何宇%王兴华

    왕하우%왕흥화

    Hausdorff 测度%计算机搜索%计数技术%格点跟踪技术%Sierpinski垫片 Hausdorff 測度%計算機搜索%計數技術%格點跟蹤技術%Sierpinski墊片
    Hausdorff 측도%계산궤수색%계수기술%격점근종기술%Sierpinski점편
    Hausdorff measure%Computer search%Counting technique%Lattice tracing technique%Sierpinski gasket


    A upper estimate function ν(x) of Hausdorff measure Hs (S) ofSierpinski Gasket is given. A mathematical representation of the upperapproximate value νN (x) to ν(x) and a simple algorithm ofνN (x) based on lattice tracing technique are also derived. As asimple corollary, the estimation Hs(S)≤ min ν15 (n·10-5)=ν15 (0.50783)=0.81794 …is obtained.
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