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The mathematical description of uniformity and related theorems

Author

Listed:
  • Luo, Chuanwen
  • Yi, Chundi
  • Wang, Gang
  • Li, Longsuo
  • Wang, Chuncheng

Abstract

Uniform index is a conception that can describe the uniformity of a finite point set in a polyhedron, and is closely related to chaos. In order to study uniform index, the concept of contained uniform index is defined, which is similar to uniform index and has good mathematical properties. In this paper, we prove the convergence of the contained uniform index, and develop the base of proving the convergence of uniform index.

Suggested Citation

  • Luo, Chuanwen & Yi, Chundi & Wang, Gang & Li, Longsuo & Wang, Chuncheng, 2009. "The mathematical description of uniformity and related theorems," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2748-2753.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:2748-2753
    DOI: 10.1016/j.chaos.2009.03.181
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    References listed on IDEAS

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    1. El Naschie, M.S., 2009. "Deriving the curvature of fractal-Cantorian spacetime from first principles," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2259-2261.
    2. Luo, Chuanwen & Wang, Gang & Wang, Chuncheng & Wei, Junjie, 2009. "A new interpretation of chaos," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1294-1300.
    3. Luo, Chuanwen & Wang, Chuncheng & Wei, Junjie, 2009. "A new characteristic index of chaos," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1831-1838.
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