• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제6권1호
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• pp.53-57
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• 2002

In this paper we give an example of energy minimizing harmonic maps for which the set of singular points are two or more lines intersecting at a point.

• 대한전자공학회논문지SP
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• 제45권1호
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• pp.55-63
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• 2008

지문의 방향 정보는 융선 강화, 정합, 분류기 등과 같이 전반적인 지문 인식 알고리즘의 기반 정보로 사용하므로 방향 정보의 오차는 지문 인식 성능에 직접적인 영향을 준다. 지문의 방향은 대부분의 영역에서는 융선의 흐름이 완만하게 변하는 전역적인 특성과 중심점(core point)이나 삼각주(delta point)와 같은 특이점(singular point) 부근에서 융선의 흐름이 급격히 변하는 지역적인 특성을 모두 갖고 있다. 따라서 융선의 방향 추출 시에 지역적인 특성만 강조하면 특이점 부근에서의 방향 변화를 민감하게 표현해 줄 수 있지만 노이즈에 취약한 단점이 발생하고 전역적인 특성만 강조하면 노이즈에 강인한 특성을 보이지만 특이점 부근에서 방향 변화에 둔감해진다. 본 논문에서는 지역적인 특성에 민감하면서도 노이즈에 강인한 적응적 지문 방향 추출 방법에 대하여 제안하였다. 또한, 상처에 의해 발생되는 방향성 노이즈는 반복 회귀 진단으로 이상치(outlier)들을 선별하여 제거함으로써 이에 대한 영향을 최소화하였다. 그리고 영역별로 측정 사이즈를 다르게 하여 노이즈에 강인하면서 특이점 부근에서는 융선 변화에 민감하게 방향을 추정하였다. 제안 방법의 평가를 위해 인조 지문(synthetic fingerprint)과 지문 인식의 성능 평가용으로 많이 사용되는 FVC 2002 데이터베이스를 사용하였다. 융선 방향 추출의 정확성은 융선의 방향 값을 사전에 알고 있는 인조 지문 데이터를 생성하여 평가하였고 최종 지문 인식 성능의 평가는 FVC 2002 데이터베이스를 사용하였다.

• 대한수학회논문집
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• 제9권4호
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• pp.905-915
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• 1994

Let $M_g$ be the moduli space of isomorphism classes of genus g smooth curves. It is a quasi-projective variety of dimension 3g - 3, when $g > 2$. It is known that a complete subvariety of $M_g$ has dimension $< g-1 [D]$. In general it is not known whether this bound is rigid. For example, it is not known whether $M_4$ has a complete surface in it. But one knows that there is a complete curve through any given finite points [H]. Recently, an explicit example of a complete curve in moduli space is given in [G-H]. In [G-H] they constructed a complete curve of $M_3$ as an intersection of five hypersurfaces of the Satake compactification of $M_3$. One way to get a complete curve of $M_3$ is to find a complete one dimensional family $p : X \to B$ of plane quartics which gives a nontrivial morphism from the base space B to the moduli space $M_3$. This is because every non-hyperelliptic smooth curve of genus three can be realized as a nonsingular plane quartic and vice versa. This paper has come out from the effort to find such a complete family of plane quartics. Since nonsingular quartics form an affine space some fibers of p must be singular ones. In this paper, due to the semistable reduction theorem [M], we search singular plane quartics which can occur as singular fibers of the family above. We first list all distinct plane quartics in terms of singularities.

• Journal of applied mathematics & informatics
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• 제29권5_6호
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• pp.1541-1547
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• 2011

In this paper, using B.Ricceri's three critical points theorem, we prove the existence of at least three classical solutions for the problem $$\{u^{(4)}(t)={\lambda}f(t,\;u(t)),\;t{\in}(0,\;1),\\u(0)=u(1)=u^{\prime}(0)=u^{\prime}(1)=0,$$ under appropriate hypotheses.

• Geosystem Engineering
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• 제21권6호
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• pp.309-317
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• 2018

We employ a three-dimensional indirect boundary element method (BEM) to simulate temperature change around an underground liquefied natural gas storage cavern. The indirect BEM (IBEM) uses fictitious heat source strength on boundary elements as basic variables which are solved from equations of boundary conditions and then used to compute the temperature change at other points in the considered problem domain. The IBEM requires evaluation of singular integration for temperature change due to heat conduction from a constant heat source on a planar (triangular) region. The singularity can be eliminated by a semi-analytical integration scheme. However, it is found that the semi-analytical integration scheme yields sharp temperature gradient for points close to vertices of triangle. This affects the accuracy of heat flux, if they are evaluated by finite difference method at these points. This difficulty can be overcome by a combination of using a direct numerical integration for these points and the semi-analytical scheme for other points distance away from the vertices. The IBEM and the hybrid integration scheme have been verified with an analytic solution and then used to the application of the underground storage.

• 대한수학회지
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• 제53권3호
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• pp.533-547
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• 2016

We prove an Omori-Yau maximum principle on Alexandrov spaces which do not have Perelman singular points and satisfy the infinitesimal Bishop-Gromov condition.

• Journal of applied mathematics & informatics
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• 제5권1호
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• pp.111-124
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• 1998

Existence results of multiple solutions are obtained un-der suitable conditions for impulsive integrodifferential boundary value problems on the half-line which may be singular at the boundary.

• 지질공학
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• 제16권3호
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• pp.255-263
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• 2006

지표가 불규칙한 지형에서 경사시추공을 이용한 단극-쌍극자 배열 전기비저항 토모그래피 탐사를 보면, 우리는 시추공안에 있는 전류원과 지표의 지형기복 사이의 최단거리에 위치한 전위전극에서의 극성변화, 지형기복에 따른 거리계수와 포텐셜의 변화 및 모델링에서 경사 시추공에 위치한 전극과 절점의 공간적인 불일치 등을 고려할 수 있다. 요소분할 방법은 시추공이 곡선이거나 경사져 있을 경우와 하나의 요소에 여러 개의 전극이 있을 때 각 전극에 대한 절점 좌표를 지정할 수 있기 때문에 매우 효과적인 방법이라고 본다. 시추공과 지형기복이 동일한 경사를 갖는 경우에서의 역산 결과는 매우 좋은 영상으로 나타났으며 최소자승근의 오차가 안정적으로 수렴되는 경향을 보였다.

• Structural Engineering and Mechanics
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• 제25권4호
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• pp.383-403
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• 2007

The contact problem for an elastic layer resting on an elastic half plane is considered according to the theory of elasticity with integral transformation technique. External loads P and Q are transmitted to the layer by means of two dissimilar rigid flat punches. Widths of punches are different and the thickness of the layer is h. All surfaces are frictionless and it is assumed that the layer is subjected to uniform vertical body force due to effect of gravity. The contact along the interface between elastic layer and half plane will be continuous, if the value of load factor, ${\lambda}$, is less than a critical value, ${\lambda}_{cr}$. However, if tensile tractions are not allowed on the interface, for ${\lambda}$ > ${\lambda}_{cr}$ the layer separates from the interface along a certain finite region. First the continuous contact problem is reduced to singular integral equations and solved numerically using appropriate Gauss-Chebyshev integration formulas. Initial separation loads, ${\lambda}_{cr}$, initial separation points, $x_{cr}$, are determined. Also the required distance between the punches to avoid any separation between the punches and the layer is studied and the limit distance between punches that ends interaction of punches, is investigated. Then discontinuous contact problem is formulated in terms of singular integral equations. The numerical results for initial and end points of the separation region, displacements of the region and the contact stress distribution along the interface between elastic layer and half plane is determined for various dimensionless quantities.

• Journal of Electrical Engineering and Technology
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• 제10권3호
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• pp.766-776
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• 2015

It is well known that series arc faults in Low Voltage DC (LVDC) distribution system occur at unintended points of discontinuity within an electrical circuit. These faults can make circuit breakers not respond timely due to low fault current. It, therefore, is needed to detect the series fault for protecting circuits from electrical fires. This paper proposes a novel scheme to detect the series arc fault using Wavelet Singular Value Decomposition (WSVD) and state diagram. In this paper, the fault detector developed is designed by using three criterion factors based on the RMS value of Singular value of Approximation (SA), Sum of the absolute value of Detail (SD), and state diagram. LVDC distribution system including AC/DC and DC/DC converter is modeled to verify the proposed scheme using ElectroMagnetic Transient Program (EMTP) software. EMTP/MODELS is also utilized to implement the series arc model and WSVD. Simulation results according to various conditions clearly show the effectiveness of the proposed scheme.