摘要
探讨了宇宙分维构造的形式,给出了分维微积分及分形测度的数学基础,包括分维导数及分维微积分的表述形式、分维微分方程的规整空间积分解、分形测度的分维微积分定义及自相似分形的测度计算方程.作为诠释,探讨了原子核内中子与质子的趋势关系方程,以及其周期解和原子序数极限值.
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.
出处
《地球物理学进展》
CSCD
2004年第3期709-716,共8页
Progress in Geophysics
关键词
宇宙
分维构造
分维微积分
分维微分方程
分形测度
原子序数极限
Cosmos, fractal dimension structure, fractal dimension calculus, fractal dimension differential equation, fractal measure, atomic number limit
