• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.83-93
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• 2006

A graph is k-cyclable if given k vertices there is a cycle that contains the k vertices. Sallee showed that every finite 3-connected planar graph is 5-cyclable. In this paper, by characterizing the circuit graphs and investigating the structure of LV-graphs, we extend his result to 3-connected infinite locally finite VAP-free plane graphs.

• 대한수학회지
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• 제43권1호
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• pp.133-145
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• 2006

We study Riemannian or pseudo-Riemannian manifolds which admit a closed conformal vector field. Subject to the condition that at each point $p{\in}M^n$ the set of conformal gradient vector fields spans a non-degenerate subspace of TpM, using a warped product structure theorem we give a complete description of the space of conformal vector fields on arbitrary non-Ricci flat Einstein spaces.

• East Asian mathematical journal
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• 제31권3호
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• pp.337-344
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• 2015

We study screen quasi-conformal irrotational half lightlike submanifolds M of a semi-Riemannian space form $\bar{M}$ (c) equipped with a semi-symmetric non-metric connection subject such that the structure vector field of $\bar{M}$ (c) belongs to the screen distribution S(TM). The main result is a non-existence theorem for such half lightlike submanifolds.

• 충청수학회지
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• 제33권1호
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• pp.33-41
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• 2020

We introduced the concept of the 𝜖₀-density and the 𝜖₀-dense ace in [1]. This concept is related to the structure of employment. In addition to the double capacity theorem which was introduced in [1], we need the minimal dense subset. In this paper, we investigate a concept of the minimal 𝜖₀-dense subset in the Euclidean m dimensional space.

• 한국분말야금학회:학술대회논문집
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• 한국분말야금학회 2006년도 Extended Abstracts of 2006 POWDER METALLURGY World Congress Part 1
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• pp.60-61
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• 2006

In this contribution, we attempted a theoretical analysis on the validity of the widely-accepted idea that rough and singular surfaces can coexist in a crystal at equilibrium. By manipulating the Cahn and Hoffman capillarity vector, the conclusion that a crystal at equilibrium should be composed either of singular surfaces or of rough ones was reached.

• 대한수학회논문집
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• 제38권2호
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• pp.509-524
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• 2023

In this study, we characterize the structure of the multivariable mappings which are sextic in each component. Indeed, we unify the general system of multi-sextic functional equations defining a multi-sextic mapping to a single equation. We also establish the Hyers-Ulam and Găvruţa stability of multi-sextic mappings by a fixed point theorem in non-Archimedean normed spaces. Moreover, we generalize some known stability results in the setting of quasi-𝛽-normed spaces. Using a characterization result, we indicate an example for the case that a multi-sextic mapping is non-stable.

• Nonlinear Functional Analysis and Applications
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• 제29권2호
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• pp.487-499
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• 2024

The main motivation for this paper is to investigate the fixed point property for nonlinear contraction defined on b-Menger inner product spaces. First, we introduce a b-Menger inner product spaces, then the topological structure is discussed and the probabilistic Pythagorean theorem is given and established. Also we prove the existence and uniqueness of fixed point in these spaces. This result generalizes and improves many previously known results.

• 한국전자파학회논문지
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• 제20권7호
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• pp.617-624
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• 2009

본 논문에서는 가역 정리에 기초한 반응 이론을 이용하여 유도탄 및 항공기 등에 적용되는 원뿔형 비구면 레이돔에 대한 전자파 성능 해석 방법을 제안하였으며 제작된 레이돔에 대한 전자파 성능 측정 결과를 해석 결과와 비교함으로써 제안한 해석 방법의 타당성을 검증하였다. 안테나는 "X" 형태의 2축 모노펄스 구조를 갖는 도파관 슬롯 배열 안테나로 가정하였다. 레이돔 형상은 본 칼만 형태로 가정하였으며, 레이돔 길이 대 직경비를 2:1 로 가정하였다. 실제 제작된 레이돔에 대한 전자파적 특성은 레이돔 전용 측정 장비를 이용하여 측정하였으며, 레이돔 측정 결과가 본 논문에서 제시한 해석 기법을 이용하여 해석한 결과와 잘 일치하는 것을 확인하였다. 본 논문에서 개발한 해석 기법은 유도탄이나 항공기용 레이돔 개발에 적용할 수 있을 것으로 기대된다.

• 한국지반환경공학회 논문집
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• 제2권4호
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• pp.15-27
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• 2001

본 연구에서는 유한요소해석을 통해 파형강판 암거의 단면력(압축력, 휨모멘트) 계산식을 제안하였다. 3단계의 시공과정(정점부까지의 뒷채움, 토피고까지의 뒷채움, 활하중 재하)에 대해 지반-구조물 상호작용을 고려한 거동분석으로부터 최대 압축력 및 최대 휨모멘트 발생조건을 도출하였고, 이러한 거동분석 결과와 반원 아치구조에 대한 Castigliano 제2정리의 적용으로부터 단면력식의 형태를 제안하였다. 또한, 최대 압축력 및 최대 휨모멘트를 유발하는 조건하에서 다양한 기하형태와 지반-구조물의 상대강성을 고려한 유한요소해석 결과로부터 제안된 단면력식을 구성하는 계수를 결정하였다.

• Earthquakes and Structures
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• 제14권5호
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• pp.437-447
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• 2018

Computational cost is one of the major obstacles for detailed risk analysis of structures. This paper puts forward a methodology for efficient probabilistic seismic loss assessment of structures using the Endurance Time (ET) analysis and the first-order reliability method (FORM). The ET analysis efficiently yields the structural responses for a continuous range of intensities through a single response-history analysis. Taking advantage of this property of ET, FORM is employed to estimate the annual rate of exceedance for the loss components. The proposed approach is an amalgamation of two analysis approaches, ET and FORM, that significantly lower the computational costs. This makes it possible to evaluate the seismic risk of complex systems. The probability distribution of losses due to the structural and non-structural damage as well as injuries and fatalities of a prototype structure are estimated using the proposed methodology. This methodology is an alternative to the prevalent risk analysis framework of the total probability theorem. Hence, the risk estimates of the proposed approach are compared with those from the total probability theorem as a benchmark. The results indicate a satisfactory agreement between the two methods while a significantly lower computational demand for the proposed approach.