Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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COMPARISON BETWEEN DIGITAL CONTINUITY AND COMPUTER CONTINUITY

  • HAN, SANG-EON (Department of Computer and Applied Mathematics College of Natural Science, Honam University)
  • Received : 2004.06.24
  • Accepted : 2004.08.26
  • Published : 2004.09.25
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Abstract

The aim of this paper is to show the difference between the notion of digital continuity and that of computer continuity. More precisely, for digital images $(X,\;k_0){\subset}Z^{n_0}$ and $(Y,\;k_1){\subset}Z^{n_1}$, $if(k_0,\;k_1)=(3^{n_0}-1,\;3^{n_1}-1)$, then the equivalence between digital continuity and computer continuity is proved. Meanwhile, if $(k_0,\;k_1){\neq}(3^{n_0}-1,\;3^{n_1}-1)$, then the difference between them is shown in terms of the uniform continuity property.

Keywords

References

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