2007 Volume 47 Issue 8 Pages 1102-1107
An improved approach was proposed to identify the multi-fractal characteristics of silicon content in hot metal from No. 7 BF at Handan Steel, No. 1 BF at Laiwu Steel and No. 6 BF at Linfen Iron and Steel Group Co. Comprehensive and quantitative details of the partial fluctuant singularity and fluctuant singularity at different levels are displayed through the computation of generalized Hurst index, scaling function and multi-fractal spectrum. The results confirm the existence of multi-fractal characteristics in the investigated time series. To describe such fluctuation in a single Hurst index or box dimension is insufficient. It is concluded that the theory and methods based on normal distribution, sequence unrelated and single fractal needs addition and amendments.
