• Journal for History of Mathematics
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• v.20 no.2
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• pp.33-46
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• 2007

In this Paper the change of trends over historical research of mathematics, that has been developed since 1970, is inquired. Most of all it deals with the controversy concerning so-called 'geometrical algebra'. It covers the contents of Euclid' work II. And the relation of the controversy with the change of direction over historical research of mathematics is examined.

• Journal of the Korean Geotechnical Society
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• v.40 no.2
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• pp.29-40
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• 2024

This study aimed to evaluate the swelling behavior characteristics of KJ-II buffer blocks by performing numerical analysis of swelling pressure measurement experiments using the nonlinear elasticity model of COMSOL Multiphysics. The analysis was conducted under boundary conditions that included isotropic constraints and water injection pressure, mirroring the experimental settings. Validation of the numerical model was achieved by comparing its outputs with experimental results. The validated model was then used to simulate swelling deformations under unconfined conditions and to analyze swelling pressure as influenced by dry density and the geometric shape of the buffer material. The results accurately represented the swelling deformation observed during the saturation process and demonstrated that swelling pressure increases with higher dry density. Moreover, simulations concerning the geometric shape of the buffer material indicated a markedly faster rate of pressure increase in U-shaped samples compared to cylindrical ones. Analysis suggested that stress manifested preemptively near the internal edges of U-shaped samples during saturation. To enhance the simulation's fidelity to actual buffer material behavior, further refinement of the analysis model using a nonlinear elasticity model is recommended.

• Tunnel and Underground Space
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• v.12 no.1
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• pp.10-18
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• 2002

Rock joint system makes a heavy effect on the behavior of rock structures. The definition of a 3D rock joint system is very important in 2D or 3D numerical analysis for the prediction of the behavior of a discontinuous rock mass. To enhance the reality of a 3D definition of rock joint system, it is essential to estimate the unbiased statistics of basic geometric attributes of rock joints. In this study, we have proposed the statistical analysis and derived the related equations for an estimation of statistics of joint size and intensity. Geometry of rock joints in 3 dimensional space can be defined by the aggregate of location, size, orientation and intensity. The dimensional limit of survey method and its data makes 3D geometric attributes probabilistic. In the estimation of statistics of joint size, we have discussed the technique to correct the bias from a dimensional limit and derived the equation of 3D joint intensity by stereological approaches.

• Journal of Korean Association for Spatial Structures
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• v.2 no.1 s.3
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• pp.1-7
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• 2002

• Journal for History of Mathematics
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• v.24 no.2
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• pp.61-70
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• 2011

Bernhard Riemann(1826-1866) is one of the best researchers in almost all branches of mathematics including analysis, geometry, number theory, topology and mathematical physics. In this paper, we survey the Riemann's life and achievements. In addition, we introduce the Riemann's equation.

• The Mathematical Education
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• v.42 no.5
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• pp.595-606
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• 2003

In this paper we analyze the Russian national curriculum for training of mathematics teachers at universities published by Russian Ministry of Education. From the document we are able to know the structure of the curriculum, compulsory subjects, and minimum mathematical contents for training mathematics teachers at universities.

• Journal of Korea Game Society
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• v.4 no.4
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• pp.19-24
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• 2004

In this paper, we have proposed a new geometric solution of inverse kinematics of high instinct, while traditional solutions of inverse kinematics requires high level of mathematical knowledge. It was possible to use the inverse kinematics without mathematical knowledge because 3D vectors of directions of folded bones could be calculated by our method in the inverse kinematic model of two bones. The proposed method can be utilized easily by graphic designers who have little knowledge of mathematics of inverse kinematics

• Journal of the Korean Electrochemical Society
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• v.4 no.1
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• pp.26-33
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• 2001

This article involves the application of the fractal geometry to interfacial electrochemistry. Especially, we gave our attention to impedance behaviour of the fractal electrode. First, this article briefly explained the constant phase element (CPE) in electrochemical impedance and the do Levie's transmission line model. Second, we introduced the Nyikos and Pajkossy's theoretical works to approach the CPE phenomena using the fractal geometry. Finally this article presented other various fractal models for analysing the ac response of the rough electrodes.

• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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• v.8 no.1
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• pp.15-22
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• 1990

The purpose of this study is to suggest possibility to analyze the three-dimensional positions of the whole surface of an object simultaneously and precisely by close-range photogrammetry. For this purpose, the geometry of network, namely imaging geometry and control configuration etc was considered, and then the whole surface of the object was analyzed by bundle adjustment through forma. lion of strip and block with which cover the whole surface of the object. As a result, we were able to prove possibility of the whole surface analysis of an object and to extract characteristics of accuracies in accordance with the number and configuration of control points. Also as desirable accuracies were able to be acquired even by employing configuration of only a few control point stationed on a limited surface, it is expected that the difficulties of control surveying will be able to be reduced considerably.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2001.11a
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• pp.90-95
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• 2001

현재까지 고주파수 진동해석에 가장 많이 쓰이는 방법은 통계적 에너지 해석법 (SEA)이다. 그러나 SEA는 많은 가정을 사용하고 있고 시간 및 공간 평균된 에너지 값을 사용하기 때문에 결과에서 알아낼 수 있는 정보가 제한된다. 이러한 단점을 극복하기 위하여 진동 전도 해석법(VCA)이나 파동 인텐시티기법 (WIA)등이 제안되었고, 기하음향학의 한 방법인 레이 추적 기법 (RTM)도 구조음향학에 적용하고 있다. 본 논문에서는 레이 추적 기법을 이용하여 오일러-베르누이 보 이론에 근거한 고정단-자유단 경계조건을 가지는 단일 곡보의 진동 해석을 수행하였다. 예제를 통한 해석 결과, 주파수가 높을수록, 또 감쇠가 클수록 더 정확한 결과를 예측할 수 있음을 관찰할 수 있었으며, 따라서 기존 해석법들의 가정에 적합하지 않은 구조물에 적용할 수 있는 장점이 있다.