• Journal for History of Mathematics
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• v.18 no.3
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• pp.25-38
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• 2005

We briefly survey the history of Chinese mathematics which concerns the resolution of right triangles. And we analyse the problems Yucigugosulyodohae(劉氏勾股述要圖解) which is the mathematical book of Chosun Dynasty and contains the 224 problems about right triangles only. Among them, 210 problems are for resolution of right triangles. We also present the methods for generating the Pythagorean triples and constructing polynomial equations in Yucigugosulyodohae which are needed for resolving right triangles.

• The Transactions of the Korea Information Processing Society
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• v.3 no.7
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• pp.1707-1718
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• 1996

Given a signal net N=s, 1,...,n to be the set of nodes, with s the source and the remaining nodes sinks, an MRDPT (minimum-cost rectilinear Steiner distance -preserving tree) has the property that the length of every source to sink path is equal to the rectilinear distance between the source and sink. The minimum- cost rectilinear Steiner distance-preserving tree minimizes the total wore length while maintaining minimal source to sink length. Recently, some heuristic algorithms have been proposed for the problem offending the MRDPT. In this paper, we investigate an optimal structure on the MRDPT and present a theoretical breakthrough which shows that the min-cost flow formulation leads to an efficient O(n2logm)2) time algorithm. A more practical extension is also in vestigated along with interesting open problems.

• Korean Journal of Remote Sensing
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• v.8 no.2
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• pp.93-104
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• 1992

Although the Transverse Mercator(TM) coordinate is used on standard topogrphic maps of Korea as a supplement to regular latitude-longitude coordinate, the use of this TM coordinate system is rather limited to a single coordinate zone that spans only two degrees of longitude. With growing applications of a variety of digiral geographic data, such as satellite remote sensor data, a Cartesian or rectangular coordinate system is more effective to deal with such data type than angular coordinate system. An unified rectangular coordinate system based on the Transverse Mercator projection is designed to cover the whole area of the Korea Peninsula as a single coordinate zone. Considering the width of the peninsula and the distribution of scale error, the origin of the coordinate is determined to 127$^{\circ}$30' east and 38$^{\circ}$ north. Coordinate conversion procedure is discussed along with the corresponding scale error term.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.14 no.12
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• pp.6284-6289
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• 2013

With the application of k-space trajectory in a different manner and analyzing the influence of noise and its direction, this study was conducted to obtain high-quality images with minimal influence of noise during an MRI examination for cerebrovascular disease, which has a low signal for imaging. To evaluate influence of the noise of different k-space trajectories, a linear Cartesian coordination trajectory and non-Cartesian coordination trajectory were applied to 38 people who had received a high-resolution MRI examination for the early detection of cerebrovascular disease. As a result, the non-Cartesian coordination trajectory showed a 43.32% lower signal of lumens in the internal carotid artery than a linear Cartesian coordination trajectory, and the noise level was also 50.19% lower in a non-Cartesian coordination trajectory. This result shows that noise occurs less in a non-Cartesian coordination trajectory than a linear Cartesian coordination trajectory, and a non-Cartesian coordination trajectory is more effective in low-signal and low-resolution MRI examination. Therefore, when performing high-resolution MRI examination with a low-signal cerebrovascular system, the use of non-Cartesian coordination k-space trajectory will minimize the influence of noise and provide good images.

• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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• v.1 no.2
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• pp.42-59
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• 1983

This article investigates the situation of the Plane Rectangular Coordinate derived from the Gauss Double Projection whereby the positioning of triangulation point in Korea has been represented on. Analyzing and assessing it have been performed by means of new computational method such as computer programing. On the basis of the results brought about, it is found that a new Plane Rectangular Coordinate as well as map projection and scale factor of geodetic length may be adapted to improve the distortion along the geodetic line on a certain zone of map projection in order to enhance the accuracy and the utility of the practical surveying works. The proposals for this study are as follows; (1) projection: Gauss-Kruger's projection (2) Coordinate system: Plane Rectangular coordinate with 8 origin system (3) Scale factor of geodetic length in origin; $m_0=0.9999$

• Transactions of the Korean Society of Mechanical Engineers
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• v.13 no.6
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• pp.1330-1338
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• 1989

본 연구에서는 직각밀폐용기의 수평경계면이 단열인 경우뿐만 아니라 등온 조건을 갖는 경우에 대해 실험적으로 연구하여 경계조건의 변화가 직각밀폐용기내 흐름 및 열전달에 미치는 영향, 특히 등온조건을 갖는 경우 수직 온도차에 따르는 안정온도 구배효과로 예상되는 흐름의 억제, 지연효과를 작종 물리적 변수들의 영향과 함께 세밀히 조사하였다.

• Proceedings of the Korean Society of Computer Information Conference
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• 2011.06a
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• pp.315-316
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• 2011

수학 함수 중에서 삼각함수는 그 활용도가 매우 높아서 아주 많이 사용되는 함수 중 하나이다. 직각 삼각형의 직각이 아닌 한 각의 크기를 a라 하면, 이 삼각형의 임의의 두 변의 길이의 비는 이 각 a의 크기에 의하여 결정되므로 이 비를 이각의 삼각 함수라 하였다. 즉, 삼각함수는 직각삼각형에서 한 각의 크기가 일정하면, 이들 변의 비의 값은 삼각형의 크기에는 관계없이 일정하다는 가장 단순하고 독특한 성질에 기초를 둔 학문이다. 어떠한 대상체의 높이는 직삼각형의 밑변의 길이와 건물을 올려다본 각이 있다면 삼각함수를 이용하여 쉽게 구할 수 있다.

• Proceedings of the Korea Water Resources Association Conference
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• 2011.05a
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• pp.330-334
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• 2011

자연하천의 유량값은 일반적으로 횡단면의 면적과 이를 통과하는 유속의 곱으로 산정된다. 유량측정 방법은 하천의 형태와 저 평수기 및 홍수기의 수위에 따라 도섭법, 교량법, 부자법 및 보트를 이용한 ADVM 측정법 등 다양한 방법으로 실시된다. 그러나 현장 여건에 따라 흐름에 직각이 아닌 사교에서 측정이 이루어지는 경우에는 단면적의 오차를 포함할 가능성이 크기 때문에 횡단면의 측선 각도에 따라 각보정을 실시해야 한다. 현재 사교에서 유량 측정을 실시하는 경우, 흐름의 직각을 기준으로 처짐각을 측량하여 각 측선에 $cos{\theta}$를 적용하여 단면적을 보정하고 있는데, 이 처짐의 정도가 유량의 참값에서 어느 정도의 영향을 미치는지에 대한 검토가 요구된다. 본 연구에서는 한강수계 왕숙천에 위치한 퇴계원 지점에서 실시간 수위에 따른 유속을 측정하였으며, 횡단면에 직각인 측선을 기준값으로 제시하고, 처짐각의 정도를 $10^{\circ}$, $20^{\circ}$, $30^{\circ}$, $40^{\circ}$, $50^{\circ}$까지 늘려 산정된 유량값을 기준값과 비교 분석하였다. 본 연구에 쓰인 측정기기는 Price AA 유속계이고, 측정방법으로는 유량의 흐름 방향을 기준하여 직각으로 수면에서 0.6d 지점의 유량측정방법(1점법)을 적용하였다. 그 결과 유량의 흐름 방향을 기준하여 직각인 경우 $1.39m^3/s$의 유량에서 보정 전 각 $10^{\circ}$의 유량 $1.36m^3/s$, $30^{\circ}$의 유량 $1.49m^3/s$, $50^{\circ}$의 유량 $2.25m^3/s$로 각이 클수록 단면적이 크게 나타나며 유량 역시도 과대 산정됨을 알 수 있었다. 따라서 도섭법을 이용한 유량측정이나 사교에서의 교량법 등을 적용하여 유량측정을 실시할 경우 유량의 흐름방향을 기준으로 직각으로 유량측정을 실시하여 유량을 산정하되 부득이한 경우로 사교에서의 측정이 이루어 졌을 시 흐름 방향을 기준으로 각도를 측정하여 크게 나타나는 단면적에 처짐각을 보정하여 유량을 산정함이 오차를 줄일 수 있으며, 신뢰성 있는 유량자료 생산의 방법이 라 할 수 있겠다.

• International Journal of Highway Engineering
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• v.10 no.4
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• pp.199-211
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• 2008

This study deals with the side right-angle collisions of 4-legged signalized intersections in Cheongju. The goals are to analyze the characteristics of accidents and to find out the accident factors that affect severity using ordered probit model. In pursuing the above, the study uses the data of 580 side right-angle collisions occurred at the 181 intersections(2004-2005). The analyses show that more accidents were occurred in the nighttime and in going straight. The main cause was analyzed to be the red-light violation. Also, the main results of modeling are the following, First, the likelihood ratio index is 0.094 and t-ratio values that explain goodness of fit are significant. Second, minor road traffic volumes, minor road lanes, major road left-turn lanes, major road left-turn signal, major road yellow signal time, cross angle, major and minor road speed limits are significant factors affecting crash severities at signalized intersections.

• Journal of Korea Water Resources Association
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• v.55 no.10
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• pp.811-821
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• 2022

Accuracy of a numerical model with the Hwang's scheme of directly analyzing discontinuous topography could be enhanced by introducing a flux correction coefficient that accounted for the deviation of actual pressure from hydrostatic distribution acting on the front of discontinuous topography. The optimal coefficient was determined from 218 experimental runs for square-edged broad-crested weir and simulation with it showed good agreement with another two square-edged broad-crested weir experiments and an unsteady side-weir experiment. This enabled accurate numerical simulation of shallow-water flow over the discontinuous river structure, such as square-edged broad-crested weir, without alleviating discontinuous topography with refined meshes or imposing internal boundary conditions.