• Journal of applied mathematics & informatics
• /
• 제42권1호
• /
• pp.15-29
• /
• 2024

Many academics employ various structures to expand topological space, including the idea of topology, as a result of the importance of topological space in analysis and some applications. One of the most notable of the generalizations was the definition of perfect functions in bitopological spaces, which was presented by Ali.A.Atoom and H.Z.Hdeib. We propose the notion of α- pairwise perfect functions in bitopological spaces and define different types of this concept in this study. Pairwise -T - α- perfect functions, pairwise -α-irr-perfect functions, and pairwise -T - α- irr-perfect functions, are all characterized in addition to pairwise -α-perfect functions. We go through their primary characteristics and show how they interact. Finally, under these functions, we introduce the images and inverse images of certain bitopological features. About these concepts, some product theorems have been discovered.

• 호남수학학술지
• /
• 제43권3호
• /
• pp.561-570
• /
• 2021

In this paper, applying the bifurcation method and topological analysis, we investigate the global structures of solutions for one-dimensional Minkowski-curvature problems under certain behavior of nonlinear term near zero.

• 전자공학회논문지D
• /
• 제36D권11호
• /
• pp.33-44
• /
• 1999

3차원 위상변이 마스크의 단차 효과를 분석하기 위해 투명 경계조건, 주기적인 경계조건, 및 연속조건을 가진 경계요소법을 광 리소그래피 공정 시뮬레이션에 새로이 적용하였으며, 해석적인 해와 참고문헌의 결과와 비교함으로써 구현된 모듈의 정확성을 검증하였다. 또한, 기존의 rigorous coupled wave analysis에 의한 방법에 비해 수렴성과 계산 시간 측면에서 경계요소법을 이용하는 것이 더 효율적임을 확인하였다. 끝으로 비교적 간단한 위상변이 마스크와 다층-위상변이 마스크에 대한 최적 설계 과정을 기술하였다.

• 한국측량학회지
• /
• 제32권6호
• /
• pp.637-650
• /
• 2014

Geospatial research on emergency response in multi-level micro-spatial environments (e.g., multi-story buildings) that aims at understanding and analyzing human movements at the micro level has increased considerably since 9/11. Past research has shown that reducing the time rescuers needed to reach a disaster site within a building (e.g., a particular room) can have a significant impact on evacuation and rescue outcomes in this kind of disaster situations. With the purpose developing emergency response systems that are capable of using complex real-time geospatial information to generate fast-changing scenarios, this study develops a Spatiotemporal Optimal Route Algorithm (SORA) for guiding rescuers to move quickly from various entrances of a building to the disaster site (room) within the building. It identifies the optimal route and building evacuation bottlenecks within the network in real-time emergency situations. It is integrated with a Ubiquitous Sensor Network (USN) based tracking system in order to monitor dynamic geospatial entities, including the dynamic capacities and flow rates of hallways per time period. Because of the limited scope of this study, the simulated data were used to implement the SORA and evaluate its effectiveness for performing 3D topological analysis. The study shows that capabilities to take into account detailed dynamic geospatial data about emergency situations, including changes in evacuation status over time, are essential for emergency response systems.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 1979년도 하계 전자.전기연합학술발표회논문집
• /
• pp.138-141
• /
• 1979

The purpose of this paper is to develop an efficient model for the analysis of a John's Chopper Circuit. In the John's Chopper Circuit analysis, the open branches are removed from the associated graph to formulate the modified incidence matrix. An algorithm for the generation of a modified proper tree and fundamental cut set matrix from a network graph is developed, which utilizes much less computer storage space and computation time compared to the classical methods.

• 한국전자파학회논문지
• /
• 제24권3호
• /
• pp.337-347
• /
• 2013

고 출력 전자기장(HPEM)의 영향은 시스템의 오작동, 고장 및 장비의 심각한 훼손을 야기시킬 수 있다. 따라서 업무 환경이 각종 전자 장비들로 대체 및 구성되어 가는 요즘, 인명과 재산을 보호하기 위해 고 출력 전자장에 대한 대책 연구가 필요하다. 이에 반해, 위상학적 해석 방법(topological analysis)은 해석 대상 구조에 대해 전자장의 이동 경로와 해석을 원하는 지점을 단순화시켜 해석하며, 대표적으로 Baum-Liu-Tesche(BLT) 방정식 기반의 해석법과 구역 설정(zoning)에 기반한 해석 방법 그리고 확률에 기초하고 있는 Power Balance Method(PWB)를 연동시킴으로써 효율적으로 해석할 수 있다. PWB 방법은 기존의 EM 시뮬레이션 방법의 비효율성을 극복하기 위한 하나의 대안으로 제시된 방법이다. 본 논문에서는 기존의 위상학적 해석 방법에 적용되는 기초기술을 바탕으로 대형 구조에 적용될 수 있는 전자파 해석 방법을 제안한다. 그리고 최종적으로 PWB 방법과 full wave analysis 방법을 비교함으로써 PWB 방법의 장점과 이 방법의 도입 필요성에 대해 제안한다.

• 한국전자파학회논문지
• /
• 제30권1호
• /
• pp.12-22
• /
• 2019

본 논문은 외부 전자기파에 의한 대형 건물 내부의 전자기파 해석을 보다 효율적으로 계산하기 위한 방법을 제시한다. 대형 건물에서의 전자기파 해석을 위해 위상학적 해석과 PWB 방법을 도입하였다. 기존 PWB 방법을 소개하고, PWB 방법의 성능을 보완하는 방법을 제시하고 적용하여 정확도를 높였다. 가상의 대형 구조물을 선정하고, 전자기파 입사환경을 설정하여 외부 전자기파에 의한 대형 건물 내부의 전자기파 해석을 진행하였다. 성능이 보안된 PWB 방법의 정확도를 검증하기 위해 상용 시뮬레이션 툴인 Wireless Insite를 사용하였다. 두 결과를 정확도, 시간, 메모리 관점에서 비교한 결과, 외부 전자기파에 의한 대형 구조물 내부의 전자기파 해석에 성능이 보완된 PWB 방법이 효율적인 방법임을 확인하였다.

• 한국실내디자인학회논문집
• /
• 제19권2호
• /
• pp.107-116
• /
• 2010

In Europe, traditionally the low-rised buildings for public art museum have been constructed since the 18th century like any other buildings and these are because of the technical issue for construction difficulty. Even if the low-rised art museum buildings are still continued for it's construction, gradually the high-rised art museum buildings begin to be build due to the development of contemporary technology in high-dense modern urban space. This tendency of high-rised art museum building in recent years is expected to affect on the interior space of it and most of all the spatial change in conjunction with circulation system variation is remarkable. Because the circulation system in art museum means tourist's spatial experience and it normally controls the experience of knowledge in art museum. This study is to understand how the multi-floored art museums in Europe affect to the spatial structure and how this is related to the circulation system. And also the study raised an issue on what it's social meaning is. Through these analysis the study can provide the meaning of multi-floored art museum and basic indication in art museum planning. To understand this, the study calculated the number of stories, number of vertical circulation and number of ring-structure space. Also the study tired to use space syntax tools, which are connectivity, integration value, integration value in major space, integration value in vertical circulation and intelligibility value. those tools alculated topological transfiguration of the whole space.Throughout the study, it was concluded that the influence of high-rised art museum in Europe changed the spatial structure and circulation system. The topological center of art museum that has been the grand space since 18th century changed to the vertical circulation due to the it's roll of distributing visitors to each floor. It became a starting point of spatial deployment and experience in art museum.

• 한국조경학회지
• /
• 제30권2호
• /
• pp.50-62
• /
• 2002

From modernism to post-modernism, the practice in the design field often reduced the complexity of environment and to remove variety. However, contemporary ideas of space have been changed. The current thought premise is that the environment is mutable and is evolving according to inner and outer forces and elements. Therefore, leading designers recognize that the environment is complex in itself while anticipating a new theory explaining on-going trends. The idea of fold formulated by Gilles Deleuze can provide a theoretical base for new environmental design in constrat to current design practices. The fold is a hybrid by accommodating complex relations within an object. It carries a dynamic world view through continual process and yields a topological space against absolute space like Euclid geometry. The characteristics of the fold can be paraphrased as rhizome, stratification and smooth space. Rhizome forms a non-hierarchial connection like networking in internet space. Stratification is a kind of superimposition of autonomous potential layers within a single object. Smooth space is a free space and event oriented space keeping non-linear form. This study tried to incorporate the idea of fold to environmental design methods and design process in order to make space which can correspond with complex environment and topological form. In the design process adapted to fold theory, rhizome analysis accepts the complexity of environment and stratification strategy embraces the possibility of accidental use. As a result, the designed park carries a monadic image and produces an ambiguous space. Lastly, smooth space makes topological space unlike Euclid geometry and is free space comosed by the user themselves. Transporting the idea of fold into environmental design could be an alterative way for indeterminate and flexible design to accept new identity of place. Therefore, this study accepts the concept of incidental morphogenesis to make space based on the complexity of environment. The designed space based on the idea of fold searches to create free event space determined by user rather than designated by designer.

• 한국진공학회:학술대회논문집
• /
• 한국진공학회 2011년도 제40회 동계학술대회 초록집
• /
• pp.59-59
• /
• 2011

We will report atomically sharp epitaxial growth of $Bi_2Se_3$ three-dimensional topological insulator films on Si(111) substrate with molecular beam epitaxy (MBE). It was achieved by employing two step growth temperatures to prevent any formation of second phase, like as $SiSe_2$ clusters, between $Bi_2Se_3$ and Si substrate at the early stage of growth. The growth rate was determined completely by Bi flux and the Bi:Se flux ratio was kept ~1:15. The second-phase-free atomically sharp interface was verified by RHEED, TEM and XRD. Based on the RHEED analysis, the lattice constant of $Bi_2Se_3$ relaxed to its bulk value during the first quintuple layer implying the absence of strain from the substrate. Single-crystalline XRD peaks of $Bi_2Se_3$ were observed in films as thin as 4 QL. TEM shows full epitaxial structure of $Bi_2Se_3$ film down to the first quintuple layer without any second phases. This growth method was used to grow high quality epitaxial $Bi_2Se_3$ films from 3 QL to 3600 QL. The magneto-transport properties of these thin films show a robust 2D surface state which is thickness independent.