Dimension Print of Fractal Curve in R<sup><i>n</i></sup>

Miao Keying. Dimension Print of Fractal Curve in Rn[J]. Journal of Beijing University of Technology, 1996, 22(2): 68-71.

Citation:

Miao Keying. Dimension Print of Fractal Curve in Rn[J]. Journal of Beijing University of Technology, 1996, 22(2): 68-71.

Citation:

Miao Keying. Dimension Print of Fractal Curve in Rn[J]. Journal of Beijing University of Technology, 1996, 22(2): 68-71.

Dimension Print of Fractal Curve in Rⁿ

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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