Journal of Jianghan University(Natural Science Edition) ›› 2015, Vol. 43 ›› Issue (6): 501-504.doi: 10.16389/j.cnki.cn42-1737/n.2015.06.004

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Density of the Points of Multi-Dimensional Space and Approximate Continuous Function

HE Zhiming，YAO Chunlin，LIU Jun   

  1. Schoole of Methematics and Computer Science ，Jianghan University，Wuhan 430056，Hubei，China
  • Online:2015-12-28 Published:2016-01-12

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Abstract: The simple properties of the density of the points in measurable sets are given. The author generalizes one element approximately continuous function to multivariate case，and the relations between the measurable functions and the approximate continuous functions are obtained.

Key words: measurable set, density, measurable function, approximate continuous function, n dimensional space

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