J4 ›› 2013, Vol. 51 ›› Issue (03): 389-392.
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JIA Liang, WEI Lina, SHENG Zhongping
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Compared with similar dimensions, two approximate box dimensions were defined, normalizing the estimator of box dimension, we defined the normal dimension with accuracy, and proved its convergence to the box dimension. Hence, the method of preestimating and correcting provides the correction dimension with accuracy. For the two dimensions, the computational examples illustrate the rationality and fesibility.
Key words: fractal, box dimension, normal dimension, correction dimension
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GU Liang, WEI Li-Na, CHENG Zhong-Beng. Normal Dimension with Accuracy and Its Convergence[J].J4, 2013, 51(03): 389-392.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2013/V51/I03/389
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