• School Mathematics
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• v.8 no.3
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• pp.291-300
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• 2006

Proofs in school mathematics are regarded as the procedures to examine a proposition's truth or falsehood. However, they are not based on an axiomatic system in general. This implies the possible existence of vicious circles in proofs in school mathematics. The concept of proof can be more completely acquired when accompanied with concept of circular reasoning and necessity of axiomatic system. Therefore, it is necessary to discuss on the axiomatic system in school mathematics curriculum. The vicious circle can be found in computing an area of a circle by using definite integral in differentiation/integration part of high school textbooks. This paper will first illustrate this in detail and then offer several comments on the axiomatic methods related to the dissolution of that circular reasoning. To further the discussion, Archimedes' derivation for the area of a circle will be considered next. Finally, several arguments on circular reasoning, local organization, and axiomatic system in school curriculum will be presented at the end of the paper.

• Journal of the Korean School Mathematics Society
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• v.21 no.4
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• pp.445-467
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• 2018

In this study, we analyzed the contents of pi and the area of a circle presented in Korean, Japanese, Singapore, and American mathematics textbooks, and drew implications for the teaching of pi and the area of a circle in school mathematics. We developed a textbook analysis framework by theoretical discussions on the concept of the pi based on the various properties of pi and the area of a circle based on the central ideas of measurement and the previous researches on pi and the area of a circle in elementary mathematics. We drew five suggestions for improving the teaching of pi and three suggestions for improving the teaching of the area of a circle in Korean elementary schools.

• School Mathematics
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• v.16 no.4
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• pp.763-782
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• 2014

The purpose of this study is to investigate mathematics content knowledge(MCK) of pre-service teachers about the area of a circle. 53 pre-service teachers were asked to perform four tasks based on the central ideas of measurement for the area of a circle. The results of this study are as follows. First, pre-service teachers had some difficulty in describing the meaning of the area of a circle. Quite a few of them didn't recognize the necessity of counting the number of area units. Secondly, pre-service teachers had insufficient content knowledge about the central ideas of measurement for the area of a circle such as partitioning, unit iteration, rearranging, structuring an array and approximation. Lastly, few pre-service teachers understood the concept of actual infinity. Most students regarded the rectangle as the figure having the approximation error instead of the limitation from rearranging the parts of a circle.

• The Transactions of the Korean Institute of Electrical Engineers D
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• v.54 no.7
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• pp.453-457
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• 2005

With the expansion of Internet, a variety of image databases are widely used and it is needed to select the part of an image what he wants. In contents-based image retrieval system, Zernikie moment and ART Descriptors are used fur shape descriptors in MPEC-7. This paper presents a fast computation method to determine the radius of a bounding circle that encloses an object in a binary image. With conventional methods, the whole area of the image should be scanned first and the distance from every pixel to the center point be computed. The proposed 4-directional scan method and fast circle-drawing algorithm is utilized to minimize the scanning area and reduce the number of operations fur computing the distance. Experimental results show that proposed method saves the computation time to determine the radius of a bounding circle efficiently.

• The Journal of Information Technology
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• v.5 no.4
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• pp.165-171
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• 2002

We propose Dynamic Circle Location Register (DCLR) scheme where each visiting location register (VLR) has a given fixed circle registration area around itself and has IDs of other VLRs in this circle area. Whenever a terminal moves to another registration area (RA), system computes whether the terminal is located in the current DCLR area and sends the recent location information of terminal to the old or new DCLR according to computing results. Also, according to change DCLR circle dynamically, we can track terminal location by querying DCLR of the current terminal when a call originates. The our scheme solves the HLR bottleneck due to the terminals frequent RA crossings and distributes the registration traffic to each of the local signaling transfer point (LSTP) area in wireless communications (WC)

• Journal of Korean Ophthalmic Optics Society
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• v.21 no.1
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• pp.11-21
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• 2016

Purpose: The aim of this study was to analyze the difference in tear film stability according to the wearing time when wearing clear and circle soft contact lens(circle lens) made of same material. Methods: The clear and circle contact lenses of hilafilcon B and nelfilcon A materials were respectively applied on the subjects classified as normal and dry eyes depending on their tear volume, and their tear film stability was investigated by measuring the non-invasive tear film break-up times, lens centration and the first appearing area of tear breakup after 30 mins and 6 hrs of lens wearing. Results: Non-invasive tear film breakup time significantly reduced with increase of the wearing time for normal and dry eyes when wearing clear and circle contact lenses. The starting ratio of tear film break-up was higher at the peripheral area of clear and circle lenses in all two different materials, and higher at the peripheral area of dry eyes than normal eyes. Starting ratio of tear film break-up was higher at the peripheral area of nelfilcon A lenses compared with hilafilcon B lenses, however, its change with the increase of wearing time showed a different aspect. The number of tear film break-up per unit area when wearing circle lenses of nelfilcon A increased at the central area with the wearing time while its number was higher at the peripheral area when wearing circle lenses of hilafilcon B. The centration of clear lenses made of two materials was closer to pupil compared to circle lenses with the increase of wearing time, however, a larger decentration was shown in dry eyes compared with normal eyes. Conclusions: The research revealed that an effect on tear film stability may be changed by clear lenses as well as circle lenses with coloring process according to the increase of wearing time, and the factors affecting on tear film stability may also vary depending on lens materials. Thus, the appropriate lenses should be selected by the consideration of lens material as well as coloring method/dyes according to the wearers' habit such as daily wearing time and wearing period when trying to wear clear and circle lenses.

• Proceedings of the Korean Information Science Society Conference
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• 1998.10a
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• pp.249-251
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• 1998

본 논문은 개인 휴대통신망네에서의 각 노드간 시그날링 트래픽을 감소시키기 위한 기법에 관한 연구이다. 미래의 개인휴대통신망에서는 셀 크기가 더욱 작이지고 사용자가 증가혀 현 개인휴대통신의 문제점인 HLR로의 시그날 병목현상. 인접지역에서의 핑퐁효과 발생이 더욱 심화돌 것이다. 본 논문에서는 이와 같은 문제의 해결을 위해 각 VLR들이 자신을 중심으로 일정한 Circle Registration area를 가지면 이 area내의 VLR 들의 id를 가지는 DCLR(Dynamic Circle Location Register)이 되도록 한다. 단말이 다른 지역으로이동할 때 마다 단말이 현 DCLR area에 있는지를 검사후 해당 DCLR 로 단말의 최신 위치정보를 연속적으로 전송하고, 또한 이러한 이동에 따라 동적으로 단말의 DCLR이 변화되며, 호 발생시는 단말의 해당 DCLR을 조회함으로써 수신자의 위치를 추적한다. 이 방식은 기존 방식에서 사용자가 다른 지역으로 이동할 때마다 HLR로 매번 등록하고 질의함으로써 발생되는 HLR로의 시그널링 신호 과부하를 효율적으로 분산, 감소시키며 인접지역 경계간에 발생되는 핑퐁효과가 발생되지 않도록 한다.

• Journal for History of Mathematics
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• v.15 no.3
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• pp.1-16
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• 2002

The area between the arc and chord of a circle is called Hosichun whose figure looks like a bow and an arrow, and had been evaluated by the two formulas $\textit{H}_{n1}$=a(a＋y)/2 and $\textit{H}_{n2}$=3ay/4, where $\alpha$ is the length of the arrow and y the chord of the circle. By the inspection of the area of the Hosichun, some errors of the numeration table in Thurmans S. Peterson's CALCULUS were found easily, that is, the area of the Hosichun is smaller than its subarea in the same Hosichun and perhaps has been to be the worldwide and centurial invalid standard. From now on, the chain proofreadings of the errors will be necessary in our mathematical world. This paper is intended to introduce some such problems related to a circle and another Pythagorean Theorem which is the ratio of the side and diagonal of five and seven In a square.

• Journal of Korean Society for Quality Management
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• v.5 no.1
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• pp.30-35
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• 1977

• Journal of the East Asian Society of Dietary Life
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• v.10 no.6
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• pp.480-494
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• 2000

The purpose of this study was to survey the awareness and use for traditional foods of housewives in Kyong-buk area. The results were as follows : Residental areas were city(43.9%) and the county(56.1%). Region were divided as the north resources circle(28.3%) , the east coast circle(21.0%) , the middle west circle(21.7%), and the south city circle(29.0%). The performence degree of times and seasons of the year customs was Seolnal, Chuseuk, Daeboreum and Dongj in order. Preparation foods of Seolnal were deukguk, vegetablejeon, fishjeon, namul and gangjeung in order. Preparation foods of Chaseuk were songpeon, vegetablejeon, namul, fishjeon and fruits in order. The country foods were sikhae, muk, pumkin, golbangiguk, yakga and potato in order.