• Proceedings of the Safety Management and Science Conference
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• 2011.11a
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• pp.167-179
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• 2011

• Information Display
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• v.22 no.2
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• pp.3-12
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• 2021

• Bulletin of the Korean Mathematical Society
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• v.30 no.2
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• pp.239-244
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• 1993

The purpose of this paper is to determine conditions under which equicontinuity of the family of iterates {f$^{n}$ } of a continuous function that maps the circle S$^{1}$ into itself does occur. We shall see that equicontinuity of the family of iterates {f$^{n}$ } occurs only under special cases. Actually, we will show that this happens only for rotations when degree of the function is 1, and for involutions when degree of the function is -1.

• Journal of the Korean Mathematical Society
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• v.33 no.4
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• pp.1115-1122
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• 1996

In study of the dynamics of a map f from a topological space X to itself, a central role is played by the various recursive properties of the points of X. One such property is periodicity. A weaker property is that of being nonwandering. Intermediate recursive properties include almost periodicity and recurrence.

• The Bulletin of The Korean Astronomical Society
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• v.34 no.1
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• pp.45.2-45.2
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• 2009

• Bulletin of the Korean Space Science Society
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• 2009.04a
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• pp.27.4-28
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• 2009

• The Bulletin of The Korean Astronomical Society
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• v.33 no.1
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• pp.74-74
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• 2008

• Journal of the Chungcheong Mathematical Society
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• v.8 no.1
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• pp.153-159
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• 1995

In this paper, we study the inclusion realtion between recursive sets. And we prove that if $\overline{R(f)}{\backslash}R(f)$ is not empty, then it is infinite, and we characterize the necessary and sufficent condition for which $\overline{R(f)}{\backslash}R(f)$ is countable.

• Proceedings of the Korean Radioactive Waste Society Conference
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• 2012.10a
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• pp.259-260
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• 2012

• Proceedings of the PSK Conference
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• 2002.04a
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• pp.126.2-126.2
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• 2002