• 한국수학사학회지
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• 제29권6호
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• pp.325-333
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• 2016

Chinese Mathematics during the period of Jin (1115-1234) and Yuan (1271-1368) is an integral part of the high achievements of traditional mathematics during the Song (962-1279) and Yuan dynasties, which is another peak in the history of Chinese mathematics, following the footsteps of the high accomplishments during the Warring States period (475-221 BCE), the Western Han (206 BCE-24 ADE), Three Kingdoms (220-280 AD), Jin dynasty (265-420 AD), and Southern and Northern Dynasties (420-589 AD). During the Jin-Yuan period, Quanzhen Taoism was a dominating branch in Taoism. It offered certain political protection and religious comforts to many during troubled times; it also provided a relatively stable environment for intellectual development. Li Ye (1192-1279), Zhu Shijie (fl. late 13th C to early 14th C) and Zhao Youqin (fl. late 13th C to early 14th C), the major actors and contributors to the Jin-Yuan Mathematics achievements, were either heavily influenced by the philosophy of Quanzhen Taoism, or being its followers. In certain Taoist Classics, Li Ye read the records of the relations of a circle and nine right triangles which has been known as Dongyuan jiurong 洞渊九容 of Quanzhen Taoism. These relations made significant contributions in the study of the circles inscribed in a right triangle, the reasoning of which directly led to the birth of the Method of Celestial Elements (Tianyuan shu 天元术), which further developed into the Method of Two Elements (Eryuan shu ⼆元术), the Method of Three Elements (Sanyuan shu 三元术) and the Method of Four Elements (Siyuan shu 四元术).

• 한국의류학회지
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• 제32권2호
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• pp.167-178
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• 2008

Despite the fact that chogakpos are part of our wonderful Kyubang(the women's quarters in the Chosun Dynasty) culture with their own unique beauty and artistic values, there has been no scientific and objective proof of their aesthetic values. Once they are proved for their beauty through scientific analysis, they will be recognized worldwide along with our unique culture. The methodology included a review of related literature and theses along with magazines, periodicals, and Internet books. The analysis of lines parting, the dimensions of chogakpos were carried out over 108 pieces introduced in Old Pojagis by Heo Dong-hwa. As for line parting, the dimensions of chogakpos were measured to see if the golden and Geumgang ratio could be applied and to discover their unique partition ratio. As a result, there was the presence of the golden ratio applied to them with the golden curves from golden triangles and rectangles also found therein. The Yeoijumunbo confirmed that there was the golden ratio between the radius of a circle and a side of a regular decagon inscribed in the circle. The common line ratio among the squares, isosceles triangles, wanes, and overlapping rectangles was around 1:1.31, which means that there was a unique line ratio in the traditional chogakpos. Furthermore, the ratio of 1:1.31 was close to the Geumgang ratio commonly used in the traditional buildings of Korea.

• 한국안전학회지
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• 제32권4호
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• pp.107-113
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• 2017

This paper deals with the traffic factors related to the collisions of circular intersections. The purpose of this study is to develop traffic accident models by type of collision based on land use. In pursuing the above, the traffic accident data from 2010 to 2014 were collected from the "Traffic Accident Analysis System (TAAS)" data set of the Road Traffic Authority. A multiple regression model was utilized in this study to develop the traffic accident models by type of collision. 17 explanatory variables such as geometry and traffic volume factors were used. The main results are as follows. First, the null hypothesis that the type of land use does not affect the number of accidents by type of collision is rejected. Second, 10 accident models by type of collision based on land use are developed, which are all statistically significant. Finally, the ADT, inscribed circle diameter, bicycle lane, area of central island, number of speed hump, circulatory roadway width, splitter island, area of circulatory roadway, mean number of entry lane and mean width of entry lane are analyzed to see how they affect accident by type of accident based on land use.

• 한국해양공학회지
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• 제24권6호
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• pp.61-70
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• 2010

This study presents free vibration analyses of perforates steel plates with various cutouts. Four different parameters (shape, size, curvature radius ratio, and rotation of cutouts) were considered to investigate the effects of those parameters on the free vibration characteristics, such as natural frequencies of the perforated steel plates. Three different shapes of cutouts are circle, square, and triangle, and the considered sizes are 5, 10, 15, 20, and 25 mm. For the triangular and square cutouts, the characteristic radii of the inscribed circles of those cutouts were defined. In addition, the curvature radius ratio was defined as the ratio of curvature radius of bluntness and the characteristic radius. Then, total seven different curvature radius ratios (0, 0.1, 0.3, 0.5, 0.7, 0.9, and 1) were considered. To investigate the rotation effect of the cutouts, it was considered four rotations ($0^{\circ}$, $15^{\circ}$, $30^{\circ}$, and $45^{\circ}$) for the square cutouts and three rotations (0, 15, and 30) for the triangular cutouts. All the free vibration analyses were conducted using a general purpose finite element program. From the analyses we found that the most influential parameter for the free vibration response of the perforated plates is the size of cutout. The other factors such as the shape, curvature radius ratio, and rotation are minors; they mainly change the natural frequency as long as the size effect is accompanied.

• 대한토목학회논문집
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• 제31권2D호
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• pp.209-215
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• 2011

회전교차로는 교차로 중앙에 원형 교통섬을 두고, 교차로를 통과하는 자동차가 이 원형 교통섬을 우회하도록 하는 평면교차로의 일종이다. 국내에서는 국토해양부에서 회전교차로 설계지침을 2004년 잠정발표 하였다. 이것은 우리나라의 교통여건이 검토되지 않은 외국의 사례를 검토 소개한 것이다. 또한, 최근 국가경쟁력강화를 위해 녹색성장의 일환으로 회전교차로에 대한 관심이 집중되고 있다. 그러나 현재 기존 회전교차로 잠정지침에서는 회전교차로의 용량 및 설치 여건, 그리고 계획절차 등에 관해 기술하고 있으나, 유형별 설계요소가 개략적이고 명확하지 않아 회전교차로 설계 적용에 있어 어려움이 존재하고 있다. 본 논문에서는 국내에 설치된 많은 유형중 접근로의 모든각이 90도인 4지 회전교차로와 72도, 45도, 30도로 한군데에서 교차하는 5지 회전교차로에 대해 모의실험을 실시하였다. 1차로 회전교차로에서 내접원 직경이 커질수록 평균통행 시간이 감소하며, 5지 회전교차로의 모든 교차각에서는 시간당 교통량이 2,000대까지는 90도로 교차하는 4지 회전교차로와 비슷한 효과를 얻을 수 있는 것으로 분석되었다.

• 대한교통학회지
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• 제32권3호
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• pp.218-226
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• 2014

본 연구에서는 회전교차로를 대상으로 현재의 횡단보도 설계기준에서 벗어나 보행자의 편의와 안전성을 향상시킬 수 있는 대각선횡단보도 설치에 관한 연구를 수행하였다. 대각선횡단보도의 설치는 보행자 편의증진에는 도움이 되지만 차량 통행에 방해요소가 될 수 있다. 따라서 본 연구에서는 회전교차로에 대각선횡단보도를 설치하였을 때 차량의 지체시간 변화에 대한 연구를 통해 합리적인 설치 기준을 제시하였다. 본 연구에서는 회전교차로의 기하구조와 다양한 교통특성 등을 반영하여 분석을 실시하였다. 연구결과 회전교차로에 대각선횡단보도를 설치할 경우 포화도, 보행자수 증가에 따라 차량의 지체시간이 증가하지만 증가율은 경우에 따라 매우 다르게 나타났다. 전체적으로 포화도 0.6이하에서는 보행자수에 관계없이 대각선횡단보도의 설치에 따른 영향이 미소하였으며 보행자수 300인/시 이하에서는 포화도에 관계없이 지체시간의 차이가 매우 작은 것으로 나타났다. 또한, 회전교차로의 내접원 지름이 커짐에 따라 포화도와 보행자수의 증가에 따른 차량 지체시간의 차이가 작아지는 것으로 분석되었다.

• Journal of Korean Neurosurgical Society
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• 제62권4호
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• pp.414-421
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• 2019

Objective : To evaluate 3-dimensional magnetic resonance imaging (MRI) of Kambin's safe zone to calculate maximum cannula diameter permissible for safe percutaneous endoscopic lumbar discectomy. Methods : Fifty 3D MRIs of 19 males and 31 females (mean, 47 years) were analysed. Oblique, axial and sagittal views were used for image analysis. Three authors calculated the inscribed circle (cannula diameter) individually, within the neural (original) and bony Kambin's triangle in oblique views, disc heights on sagittal views and root to facet distances at upper and lower end plate levels on axial views and their averages were taken. Results : The mean root to facet distances at upper end plate level measured on axial sections increased from $3.42{\pm}3.01mm$ at L12 level to $4.57{\pm}2.49mm$ at L5S1 level. The mean root to facet distances at lower end plate level measured on axial sections also increased from $6.07{\pm}1.13mm$ at L12 level to $12.9{\pm}2.83mm$ at L5S1 level. Mean maximum cannula diameter permissible through the neural Kambin's triangle increased from $5.67{\pm}1.38mm$ at L12 level to $9.7{\pm}3.82mm$ at L5S1 level. The mean maximum cannula diameter permissible through the bony Kambin's triangle also increased from $4.03{\pm}1.08mm$ at L12 level to $6.11{\pm}1mm$ at L5S1 level. Only 2% of the 427 bony Kambin's triangles could accommodate a cannula diameter of 8mm. The base of the bony Kambin's triangle taken in oblique view (3D MRI) was significantly higher than the root to facet distance at lower end plate level taken in axial view. Conclusion : The largest mean diameter of endoscopic cannula passable through "bony" Kambin's triangle was distinctively smaller than the largest mean diameter of endoscopic cannula passable through "neural" Kambin's triangle at all levels. Although proximity of exiting root to the facet joint is always taken into consideration before PELD procedure, our 3D MRI based anatomical study is the first to provide actual maximum cannula dimensions permissible in this region.