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《Progress In Geophysics》 2004-03
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Fractal dimension structure of Cosmos and its mathematical foundations

YAN Kun(Xi'an Modern Nonlinear Science Applying Institute, Xi'an 710061, China)  
Fractal dimension structure form of the Cosmos are explored, and the mathematical foundation, which include the expressions of fractal dimension differential and calculus, regular space integral solutions of fractal dimension differential equations, the fractal calculus definitions of fractal measure as well as the measure computational equation of self-similar fractal, of fractal dimension calculus and fractal measure are given. As annotation, an equation of the relation between neutrons and protons in nuclei and its periodical solutions as well as atomic number limit are discussed.
【Key Words】: Cosmos fractal dimension structure fractal dimension calculus fractal dimension differential equation fractal measure atomic number limit
【CateGory Index】: P159
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【References】
Chinese Journal Full-text Database 5 Hits
1 YAN Kun (Xi'an Modern Nonlinear Science Applying Institute,Xi'an 710061,China);Introductions on the medium shell and discrete orbits of celestial bodies motion[J];Progress In Geophysics;2004-04
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1 SONG Shou bai,\ XIE Ming qin (Department of Mathematics, Anhui Normal University, 241000, Wuhu, Anhui, China);THE HAUSDORFF MEASURE OF KOCH CURVE[J];JOURNAL OF ANHUI NORMAL UNIVERSITY(NATURAL SCIENCE);1999-03
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6 WEN Huan-ming 1,2 ,XIAO Ci-xun 2,LI Rui 2,YANG Bin 2,WANG Hua 2 (1.Information School, Hebei Sci-tech University, Shijiazhuang, Hebei 050054, China; 2. Information School, Univ. of Chengdu Science & Engineering, Chengdu, Sichuan 610059, China);On Multifractal Analysis Method in Well Logging Interpretation[J];Well Logging Technology;2004-05
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1 LUO Xiao-hua TAN Yong-ming HE Zhong-shi (Chongqing University, Chongqing 400044, China;Department of Electronics Engineering, Dongguan University of Technolog, Dongguan 523808, China;Chongqing Jangtong University, Chongqing 400073, China);Feature Extractor of Solitary Pulmonary Nodules Based on Fractal of Application[J];Journal of Dongguan University of Technology;2006-03
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【Secondary References】
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1 YAN Kun (Xi'an Modern Nonlinear Science Applying Institute, Xi'an 710061, China);The general expression of Binet equation about celestial bodies motion orbits[J];Progress In Geophysics;2005-02
2 YAN Kun(Xi'an Modern Nonlinear Science Applying Institute,Xi′an 710061,China);The tendency analytical equations of stable nuclides and the superluminal velocity motion laws of matter in geospace[J];Progress in Geophysics;2006-01
3 YAN Kun(Xi'an Modern Nonlinear Science Applying Institute,Xi'an 710061,China);Introduction on background medium theory about celestial body motion orbit and foundation of fractional-dimension calculus about self-fractal measure calculation[J];Progress in Geophysics;2007-02
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