• Journal for History of Mathematics
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• v.28 no.5
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• pp.249-262
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• 2015

Simon Stevin, a mathematician active in the Netherlands in early seventeenth century, parlayed his mathematical talents into improving navigation skills. In 1605, he introduced a technique of calculating the distance of loxodrome employed in long-distance voyages in his book, Navigation. He explained how to calculate distance by 8 different angles, and even depicted how to make a copper loxodrome model for navigators. Particularly, Stevin clarified in the 7th copper loxodrome model on the unique features of equiangular spiral curve that keeps spinning and gradually accesses from the vicinity to the center. These findings predate those of Descartes on equiangular spiral curve by more than 30 years. Navigation, a branch of actual mathematics devised for the survival of sailors on the bosom of the ocean, was also the first step to the discovery of new mathematical object.

• Proceedings of the Korea Information Processing Society Conference
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• 2010.11a
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• pp.1839-1842
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• 2010

등각사상은 함수론의 기본적인 문제로 2차원 Laplace방정식이 나타나는 열전도, 정전(靜電) potential, 유체의 문제에 이용되는 등 공학이나 물리학에서 그 응용분야가 넓다. 수치등각사상의 목적은 보다 빠르고, 보다 정확하며, 보다 적용범위가 넓은 계산법을 연구하는데 있다. 단위원 내부로부터 Jordan 영역 내부로의 등각사상을 구하는 문제는 비선형 방정식인 Theodorsen 방정식을 푸는 것으로 귀결된다. Theodorsen 방정식에 관해서는 여러 가지 수치해법이 제안되어 있는데 본 논문에서는 그 중 SOR 법인 Niethammer와 Newton법인 Vertgeim의 방법을 다루어 비교, 분석하였다. 이 2가지 방법을 실제 계산기상에 실현시켜 수치실험을 하여 그 유효성을 비교, 분석한 결과 난이도가 낮은 문제에서는 Niethammer의 방법이 난이도가 높은 문제에서는 Vertgeim이 제안한 방법이 유효함을 알게 되었다.

• Journal of dental hygiene science
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• v.11 no.3
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• pp.155-161
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• 2011

The purpose of this study was to obtain data necessary for guiding students in the future by grasping which rate of error is made how much depending on a shooting technique in the filming of periapical radiograph. 14,402 films, which were instructed targeting students for the Department of Dental Hygiene at D Health College and S Health College, were analyzed. The following results were obtained by conducting questionnaire survey targeting 263 students who completed the shooting practice lesson of bisecting angle technique and paralleling technique. 1. In case of having shot with bisecting angle technique, the ratio of error was the highest in both maxillary and mandibular first molar. 2. In case of having shot with paralleling technique, the ratio of error was the highest in the maxillary bicuspid and the mandibular first molar. 3. As for ratio of error in light of a shooting technique, both bisecting angle technique and paralleling technique were indicated to be the highest in inaccuracy of film position. The bisecting angle technique was indicated to have the higher ratio of error compared to the paralleling technique. 4. As for ratio of error in light of the processing technique, both bisecting angle technique and paralleling technique were indicated to be the highest in dark image and light image. The bisecting angle technique was indicated to have the higher ratio of error compared to the paralleling technique. 5. Students were indicated to feel it to be most difficult for grasping the processing level in the film-developing process. As the above results, to reduce ratio of error given the periapical radiography, a method of reducing ratio of error given the periapical radiography is considered to be what correctly understands the morphological and anatomical structure inside the mouth and what acquires the shooting technique by filming several times with having enough time.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2009.10a
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• pp.821-824
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• 2009

Conformal mapping is useful to solve problems in physics, engineering and so on. This paper is to discuss the numerical conformal mapping from the unit disk onto Jordan region, which can be solved by Theodorsen equation. Wegmann's method has been known as the most efficient one for the Theodorsen equation. However, we found divergence through numerical experiments by the iterative method of Wegmann. The divergence occurs especially when some degree of difficulty is high. We analyze the cause of divergence and propose an improved method by applying a low frequency pass filter to Wegmann's method. By this proposed method we can get a stable convergence for all the problems which was unstable with the Wegmann's method.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.13 no.2
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• pp.170-175
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• 2002

The cut-off frequencies of higher order modes in a symmetrical stripline are calculated using the variational finite element method combined with the conformal mapping. The conformal mapping is used to Improve the modeling of the infinite transverse extents of a stripline. And then the finite element method is employed to solve the variational equation in the transformed finite region. Comparisons with numerical results found in the literature validate the presented method.

• Animal Systematics, Evolution and Diversity
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• v.3 no.1
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• pp.51-56
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• 1987

A new species of sphaeromatid isopod from the esturary of the Naktong River, Korea is described and figured under the name of Gnorimosphacroma naktongense. A key to the six Korean species of Gnorimosphaeroma is presented.

• The KIPS Transactions:PartA
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• v.14A no.1 s.105
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• pp.73-76
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• 2007

The determination of the conformal maps from the unit disk onto a Jordan region has been completed by solving the Theodorsen equation which is an nonlinear equation for the boundary correspondence function. Wegmann's method has been well known for the efficient mothed among the many suggestions for the Theodorsen equation. We proposed an improved method for convergence by applying a low-frequency pass filter to the Wegmann's method and theoretically proved convergence of improved iteration[1, 2]. And we proposed an effective method which makes it possible to estimate an error even if the real value is nut acquired[3]. In this paper, we propose an automatic algorithm for numerical conformal mapping bared on this error analysis in our early study. By this algorithm numerical conformal mapping is determined automatically according to the given domain of problem and the required accuracy. The discrete numbers and parameters of the low-frequency filter were acquired only by experience. This algorithm, however, is able to determine the discrete numbers and parameters of the low-frequency filter automatically in accordance with the given region This results from analyzing the function, which may decide the shape of the given domain under the assumption that the degree of the problem depends of the transformation of a given domain, as seen in the Fourier Transform. This proposed algorithm is also ploved by numerical experience.

• Journal of the Korean Society of Industry Convergence
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• v.4 no.3
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• pp.257-261
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• 2001

이 연구는 밀링가공시 체터진동을 억제하기 위하여 부등각 앤드밀(나선각이 서로 다른 앤드밀)을 사용하여 절삭가공을 수행 한 후, 그 가공특성을 고찰한 것으로 가공표면의 기하학적 오차를 일반적으로 사용하는 등각 엔드밀에 의한 값과 실험에 의해 비교 검토한 결과, 두 엔드밀 모두 가공표면의 기하학적 오차는 유사함 나타내고 있으나, 부등각 엔드밀의 절대오차는 등각 엔드밀 보다 더 적은 경향을 나타내고 있다. 이들의 오차는 상향절삭보다 하야절삭 가공했을 때가 더 큰 것으로 나타났다. 더구나, 등각 엔드밀과 부등각 엔드밀과의 절대오차가 다르게 나타난 것은 밀링가공시 사용한 절삭날 인선에 의하여 완전히 의존되어지며, 또한 다른 나선각에 의해 기인된 각각의 절삭날에 대한 절삭날당 이송비의 변화에 의한 원인이라는 것을 명백히 알 수 있었다.

• Journal of the Institute of Electronics Engineers of Korea CI
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• v.38 no.1
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• pp.7-18
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• 2001

In this paper, we present a new method to generate obstacle-free path by using conformal mapping, when avatar navigates in virtual environment. First, we show that the proposed method generates a path to keep away from a circular obstacle. Then, we show that the method can be extended to an elliptical obstacle and multiple obstacles. For real applications, we combine the proposed local method with a global navigation method using sub-target to generate a global obstacle-free path by which avatar navigates naturally in virtual environment.

• Journal of dental hygiene science
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• v.4 no.3
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• pp.97-102
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• 2004

In order to find out the rate of error according to intraoral standard radiographic techniques, this study analyzed 3,251 standard films, and conducted a questionnaire with 120 Daegu Health College students who have used the bisecting angle technique and the paralleling technique. Followed are the results of the study: 1. The rate of error was the highest in canine from both maxilla and mandible when used by the bisecting angle technique. 2. The rate of error was the highest in premolar from both maxilla and mandible when used by the paralleling technique. 3. The technical error was occurred most frequently in elongation. 4. The rate of error and distortion was higher in the bisecting angle technique than in the paralleling technique. 5. The processing error was occurred most frequently in light film. 6. In applying radiographic techniques, the subjects indicated that the vertical angulation of central radiation in the bisecting angle technique and the oral fixation of film holder in the paralleling technique were the most difficult.