• 한국통신학회논문지
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• 제35권5C호
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• pp.432-438
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• 2010

본 논문에서는 고차 변조 방식의 심볼 사상(mapping)이 LDPC (low-density parity-check) 부호를 사용하는 터보 등화기(turbo equalizer)의 수렴 특성에 미치는 영향에 대해서 살펴본다. 심볼 사상에 따른 선형 MMSE 등화기의 유효(effective) SNR과 LDPC 복호기의 수렴 특성을 통해 LDPC 부호를 사용하는 터보 등화기에 BR (bit-reliability) 사상이 성능 관점에서 유리하다는 것을 보여준다. 그리고 밀도 진화 분석(density evolution)을 통한 잡음 임계치(noise threshold)와 전산 실험 결과를 통해 터보 등화기의 성능에 심볼 사상이 미치는 영향을 검증한다.

• 대한수학회보
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• 제44권3호
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• pp.493-506
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• 2007

In this paper weak and strong convergence theorems of modified Noor iterations to fixed points for asymptotically nonexpansive mappings in the intermediate sense in Banach spaces are established. In one theorem where we establish strong convergence we assume an additional property of the operator whereas in another theorem where we establish weak convergence assume an additional property of the space.

• Korean Journal of Mathematics
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• 제14권2호
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• pp.169-183
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• 2006

In this paper, we define and study the C-integral and the strong C-integral of functions mapping an interval [a,b] into a Banach space X. We prove that the C-integral and the strong C-integral are equivalent if and only if the Banach space is finite dimensional, We also consider the property of primitives corresponding to Banach-valued functions with respect to the C-integral and the strong C-integral.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제23권1호
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• pp.73-96
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• 2016

We establish a coupled coincidence point theorem for generalized com-patible pair of mappings under generalized nonlinear contraction on a partially or-dered metric space. We also deduce certain coupled fixed point results without mixed monotone property of F : X × X → X . An example supporting to our result has also been cited. As an application the solution of integral equations are obtained here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.

• Structural Engineering and Mechanics
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• 제64권6권
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• pp.695-701
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• 2017

This paper investigates some general properties in the degenerate scale problem of antiplane elasticity or Laplace equation. For a given configuration, the degenerate scale problem is solved by using conformal mapping technique, or by using the null field BIE (boundary integral equation) numerically. After solving the problem, we can define and evaluate the degenerate area which is defined by the area enclosed by the contour in the degenerate configuration. It is found that the degenerate area is an important parameter in the problem. After using the conformal mapping, the degenerate area can be easily evaluated. The degenerate area for many configurations, from triangle, quadrilles and N-gon configuration are evaluated numerically. Most properties studied can only be found by numerical computation. The investigated properties provide a deeper understanding for the degenerate scale problem.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제24권2호
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• pp.79-98
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• 2017

We establish a coupled coincidence point theorem for generalized compatible pair of mappings $F,G:X{\times}X{\rightarrow}X$ under generalized symmetric Meir-Keeler contraction on a partially ordered metric space. We also deduce certain coupled fixed point results without mixed monotone property of $F:X{\times}X{\rightarrow}X$. An example supporting to our result has also been cited. As an application the solution of integral equations are obtain here to illustrate the usability of the obtained results. We improve, extend and generalize several known results.

• 전자공학회논문지C
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• 제34C권1호
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• pp.59-64
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• 1997

By using a selective learnable self-organizing feature map(SOFM) a more practical and generalized mehtod is proposed in which the effective nonlinear shape restoration is possible regardless of the existence of the distortion modelss. Nonlinear mapping relation is extracted from the distorted imate by using the proposed selective learning SOFGM which has the special property of effectively creating spatially organized internal representations and nonlinear relations of various input signals. For the exact extraction of the mapping relations between the distorted image and the original one, we define a disparity index as a proximal nmeasure of the present state to the final idealy trained state of the SOFM, and we used this index to adjust the training of the mapping relations form the weights of the SOFM. Simulations are conducted on various kinds of distorted images with or without distortion models, and the results show that the proposed method is very efficeint very efficient and practical in nonlinear shape restorations.

• 대한수학회보
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• 제58권6호
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• pp.1355-1375
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• 2021

The n-dimensional generalized Hartogs triangles ℍⁿ_𝐩 with n ≥ 2 and 𝐩 := (p₁, …, p_n) ∈ (ℝ⁺)ⁿ are the domains defined by ℍⁿ_𝐩 := {z = (z₁, …, z_n) ∈ ℂⁿ : |z₁|^p₁ < ⋯ < |z_n|^p_n < 1}. In this paper, we study the L^p Sobolev mapping properties for the Bergman projections on the n-dimensional generalized Hartogs triangles ℍⁿ_𝐩, which can be viewed as a continuation of the work by S. Zhang in [25] and a higher-dimensional generalization of the work by L. D. Edholm and J. D. McNeal in [16].

• Nonlinear Functional Analysis and Applications
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• 제27권2호
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• pp.271-287
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• 2022

In this article, we shall prove a common fixed point theorem for two weakly compatible self-maps 𝒫 and 𝔔 on a dislocated metric space (M, d^*) satisfying the following ξ-weakly expansive condition: d^*(𝒫c, 𝒫d) ≥ d^* (𝔔c, 𝔔d) + ξ(∧(𝔔c, 𝔔d)), ∀ c, d ∈ M, where $${\wedge}(Qc,\;Qd)=max\{d^*(Qc,\;Qd),\;d^*(Qc,\;\mathcal{P}c),\;d^*(Qd,\;\mathcal{P}d),\;\frac{d^*(Qc,\;\mathcal{P}c){\cdot}d^*(Qd,\;\mathcal{P}d)}{1+d^*(Qc,\;Qd)},\;\frac{d^*(Qc,\;\mathcal{P}c){\cdot}d^*(Qd,\;\mathcal{P}d)}{1+d^*(\mathcal{P}c,\;\mathcal{P}d)}\}$$. Also, we have proved common fixed point theorems for the above mentioned weakly compatible self-maps along with E.A. property and (CLR) property. An illustrative example is also provided to support our results.

• 한국정보과학회논문지:소프트웨어및응용
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• 제33권1호
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• pp.114-129
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• 2006

유사한 지식구조의 분산된 온톨로지들을 통합 및 연결하여 새로운 온톨로지를 생성하거나 확장 지식 검색을 효과적으로 제공하기 위해서는 온톨로지 모델 자체의 구조적 특성이나 제약조건을 고려한 온톨초지 매핑이 중요하다. 그러나 과거의 온톨로지 매핑은 범용성을 높이기 위해 대부분 그래프 모델을 기반으로 노드와 간선 중심의 매핑여부를 계산함으로써 온톨로지 모델의 특성과 제약조건을 매핑에 반영하지 못하는 문제점을 가진다. 본 논문에서는 RDF와 함께 온톨로지 모델로 사용되고 있는 토픽맵의 구문적 특성과 제약조건을 반영한 다중 매핑 전략의 토픽맵 매핑 기법을 제안한다. 다중 매핑 전략에는 토픽명 기반 매핑, 토픽 속성 기반 매핑, 계층 구조 기반 매핑, 연관관계 기반 매핑의 4가지 매핑 전략이 포함되어 있으며 개체들 사이의 매핑 여부를 결정하기 위해 각 매핑의 개별 유사도를 조합한 다음 단일 유사도를 결정하는 하이브리드 방식을 사용한다. 또한 토픽맵의 구문적 특성에 따라 매핑 계산 전에 매핑이 불가능한 개체들을 미리 제거함으로써 탐색 범위를 줄이고 있으며 토픽명 색인과 PSI 색인을 생성하여 매핑 계산의 효율을 높이고 있다. 제안하는 토픽맵 매핑 기법의 성능을 보이기 위해 동, 서양 철학 온톨로지들과 야후 철학 백과사전 및 독일 문학 백과사전을 토픽맵으로 구현하여 실험 데이타로 활용하였으며 그 결과 자동 생성된 매핑 집합이 전문가에 의해 생성된 매핑 집합을 대부분 포함함을 확인하였다.