• Korean Journal of Mathematics
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• 제11권1호
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• pp.71-77
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• 2003

In this paper we are going to study the dynamics of counting on the set S of functions from a finite subset of $\mathbb{N}=\{1,2,{\cdots}\}$ into $\mathbb{N}$. We have shown that every point $f{\in}S$ is either an eventually fixed point or an eventually periodic point of period 2 or 3.

• 대한수학회보
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• 제57권1호
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• pp.251-274
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• 2020

We study a dynamical system that was originally defined by Romik in 2008 using an old theorem of Berggren concerning Pythagorean triples. Romik's system is closely related to the Farey map on the unit interval which generates an additive continued fraction algorithm. We explore some number theoretical properties of the Romik system. In particular, we prove an analogue of Lagrange's theorem in the case of the Romik system on the unit quarter circle, which states that a point possesses an eventually periodic digit expansion if and only if the point is defined over a real quadratic extension field of rationals.

• 환경위생공학
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• 제18권4호
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• pp.15-23
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• 2003

The purpose of this study is to construct e-Nonsan, a user friendly river quality management information system for Nonsan-si basin using GIS (geographical information system) technology. GIS was ideally suited featuring a geographical characteristics(e.g., industries, cattle sheds) and very effectively used in mapping and symbolization for the distribution of the spatial/periodic status(e.g., pie or column chart) of the point/non-point pollutant source loads which can be effectively applied to a information system on the web-site. And a user interface, GUI(graphic user interface) was designed very diversely and simply enabled the and non environmental experts connect with the system and obtain a useful information of river quality. e-Nonsan, a visual mapping system for river quality was developed by reframing the monitoring data as graphic symbols and it was ideally suited to exploring area-wide river quality at a user-friendly manner due to extensibility and scalability along the various survey points. Eventually the final step of this study was to construct e-Nonsan based on Web-GIS could be assessed anywhere if internet service is available and offer a very useful information services of the river quality to the publics.