• 대한수학회지
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• 제59권1호
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• pp.13-33
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• 2022

The quaternionic Calabi conjecture was introduced by Alesker-Verbitsky, analogous to the Kähler case which was raised by Calabi. On a compact connected hypercomplex manifold, when there exists a flat hyperKähler metric which is compatible with the underlying hypercomplex structure, we will consider the parabolic quaternionic Monge-Ampère equation. Our goal is to prove the long time existence and C^∞ convergence for normalized solutions as t → ∞. As a consequence, we show that the limit function is exactly the solution of quaternionic Monge-Ampère equation, this gives a parabolic proof for the quaternionic Calabi conjecture in this special setting.

• 한국수학사학회지
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• 제20권1호
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• pp.33-44
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• 2007

프랑스 혁명이라는 렌즈를 통하여 사회적 변화가 수학에 어떠한 경로로 어떤 변화를 야기 시키게 되었는지를 다루고자 한다. 혁명의 소용돌이 속에서 활동한 주요한 수학자들의 삶의 궤적을 추적함으로써 수학자 개인 혹은 집단과 사회의 관계를 볼 것이다. 혁명은 모든 분야에 새로운 가능성을 불어넣는다. 새로운 국가는 위기타개를 위해 과학자들에 의무를 부여하고 이에 대응하는 과정에서 과학자 집단이 생겨나게 된다. 이는 수학에 있어서도 예외는 아니었다. 정치적 재배치와 에꼴 폴리테크닉으로 대변되는 교육 개혁은 수학에 있어서 카르노와 몽주로 대변되는 소수의 새로운 기하학 분야가 주류의 해석학과 어깨를 견줄 정도로 성장하게 되는 계기를 제공하게 되는 사실을 살펴본다.

• 한국경영과학회:학술대회논문집
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• 한국경영과학회 1994년도 추계학술발표회 발표논문집; 연세대학교경영관, 서울; 8 Oct. 1994
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• pp.36-48
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• 1994

• Journal of Computing Science and Engineering
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• 제3권2호
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• pp.90-108
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• 2009

In this paper, we present an ontology mediation solution based on the methods frequently used in Formal Concept Analysis. Our approach of mediation is based on the existence of instances associated to two source ontologies, then we can generate concepts in a new ontology if and only if they share the same extent. Hence our approach creates a merged ontology which captures the knowledge of these two source ontologies. The main contributions of this work are (i) to enable the creation of concepts not originally in the source ontologies, (ii) to propose a solution to label these emerging concepts and finally (iii) to optimize the resulting ontology by eliminating redundant or non pertinent concepts. Another contribution of this work is to emphasize that several forms of mediated ontology can be defined based on the relaxation of certain criteria produced from our method. The solution that we propose for tackling these issues is an automatic solution, meaning that it does not require the intervention of the end-user, excepting for the definition of the common set of ontology instances.

• 대한수학회보
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• 제53권5호
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• pp.1457-1469
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• 2016

In this paper, we study a class of Finsler metric. First, we find some rigidity results of the dually flat (${\alpha}$, ${\beta}$)-metric where the underline Riemannian metric ${\alpha}$ satisfies nonnegative curvature properties. We give a new geometric approach of the Monge-$Amp{\acute{e}}re$ type equation on $R^n$ by using those results. We also get the non-existence of the compact globally dually flat Riemannian manifold.

• Journal of Multimedia Information System
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• 제5권2호
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• pp.79-82
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• 2018

Due to the handheld holding of smartphones and the presence of light leakage and non-balanced contrast, the detection of the retina area in smartphone-captured fundus images is more challenging than retinography-captured fundus images. This paper presents a computationally efficient image processing pipeline in order to detect and enhance the retina area in smartphone-captured fundus images. The developed pipeline consists of five image processing components, namely point spread function parameter estimation, deconvolution, contrast balancing, circular Hough transform, and retina area extraction. The results obtained indicate a typical fundus image captured by a smartphone through a D-EYE lens is processed in 1 second.

• 한국정보처리학회:학술대회논문집
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• 한국정보처리학회 2006년도 춘계학술발표대회
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• pp.615-618
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• 2006

언어 기반의 형태소 분석에 따라 언어 지식을 국부 문법을 이용하여 그래픽적으로 기술하여 이를 기반으로 한 어휘 정보와 연결 정보를 함께 가지는 어절 사전을 구축하였다.

• 대한수학회지
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• 제37권2호
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• pp.177-191
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• 2000

All scalar CR invariants of weight $\leq$ 6 are explicitly given for 3-dimensional strictly pseudoconvex CR structures, as an application of Fefferman's ambient metric construction and its generalization by he author.

• 대한수학회논문집
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• 제34권1호
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• pp.267-277
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• 2019

In this study, we define the dual surfaces by z = f(u) + g(v) and also classify these surfaces in ${\mathbb{I}}{\frac{1}{3}}$ satisfying some algebraic equations in terms of the coordinate functions and the Laplace operators according to fundamental forms of the surface.

• 대한수학회보
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• 제59권4호
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• pp.1011-1018
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• 2022

In this work, magnetic geodesics over the space of Kähler potentials are studied through a variational method for a generalized Landau-Hall functional. The magnetic geodesic equation is calculated in this setting and its relation to a perturbed complex Monge-Ampère equation is given. Lastly, the magnetic geodesic equation is considered over the special case of toric Kähler potentials over toric Kähler manifolds.