Rn的分形曲线的维数迹
Dimension Print of Fractal Curve in Rn
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摘要: 证明了:若T是R的s维良好定义的子集f:R→Rn,f(t)=(t,t2,…,tn),则T在f下的象的维数迹为P(f(T))=R(1/s,2/s,…,n/s).Abstract: In this paper, the following theorem is proved:let T be a Borel set in R of well-determined dimension s, f:R→Rn, f(t)=(t, t2,……, tn),then the dimension print of the images of T under f is P(f(T))=R(1/s,2/s, ……, n/s).
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