The mathematical description of uniformity and related theorems

Chuanwen Luo; Chundi Yi; Gang Wang; Longsuo Li; Chuncheng Wang

doi:10.1016/j.chaos.2009.03.181

The mathematical description of uniformity and related theorems

Chuanwen Luo
, Chundi Yi
, Gang Wang
, Longsuo Li
, Chuncheng Wang^*

^*Corresponding author for this work

School of Mathematics

Northeast Forestry University
Sichuan Agricultural University
Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	2748-2753
Number of pages	6
Journal	Chaos, Solitons and Fractals
Volume	42
Issue number	5
DOIs	https://doi.org/10.1016/j.chaos.2009.03.181
State	Published - 15 Dec 2009

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10.1016/j.chaos.2009.03.181

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title = "The mathematical description of uniformity and related theorems",

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.",

author = "Chuanwen Luo and Chundi Yi and Gang Wang and Longsuo Li and Chuncheng Wang",

year = "2009",

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AU - Luo, Chuanwen

AU - Yi, Chundi

AU - Wang, Gang

AU - Li, Longsuo

AU - Wang, Chuncheng

PY - 2009/12/15

Y1 - 2009/12/15

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/67651252319

U2 - 10.1016/j.chaos.2009.03.181

DO - 10.1016/j.chaos.2009.03.181

M3 - 文章

AN - SCOPUS:67651252319

SN - 0960-0779

VL - 42

SP - 2748

EP - 2753

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 5

ER -

The mathematical description of uniformity and related theorems

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