# FRACTAL DIMENSION ESTIMATION OF SINGULAR FUNCTIONS

Kim, Tae-Sik

• Received : 2008.01.23
• Accepted : 2008.02.21
• Published : 2008.03.25
• 30 6

#### Abstract

Many fractal objects observed in reality are characterized by some irregularities or complexities in their features. These properties can be measured and analyzed by means of fractal dimension. However, in many cases, the calculation of this value may not be so easy to utilize in applications. In this respect, we have treated a formal method to estimate the dimension of fractal curves.

#### Keywords

Fractal dimension;${\alpha}$-derivable;Weierstrass function

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