• 제목/요약/키워드: entire graphs

검색결과 15건 처리시간 0.028초

RIGIDITY AND NONEXISTENCE OF RIEMANNIAN IMMERSIONS IN SEMI-RIEMANNIAN WARPED PRODUCTS VIA PARABOLICITY

  • Railane Antonia;Henrique F. de Lima;Marcio S. Santos
    • 대한수학회지
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    • 제61권1호
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    • pp.41-63
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    • 2024
  • In this paper, we study complete Riemannian immersions into a semi-Riemannian warped product obeying suitable curvature constraints. Under appropriate differential inequalities involving higher order mean curvatures, we establish rigidity and nonexistence results concerning these immersions. Applications to the cases that the ambient space is either an Einstein manifold, a steady state type spacetime or a pseudo-hyperbolic space are given, and a particular investigation of entire graphs constructed over the fiber of the ambient space is also made. Our approach is based on a parabolicity criterion related to a linearized differential operator which is a divergence-type operator and can be regarded as a natural extension of the standard Laplacian.

A NOTE ON MAXIMAL HYPERSURFACES IN A GENERALIZED ROBERTSON-WALKER SPACETIME

  • de Lima, Henrique Fernandes
    • 대한수학회논문집
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    • 제37권3호
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    • pp.893-904
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    • 2022
  • In this note, we apply a maximum principle related to volume growth of a complete noncompact Riemannian manifold, which was recently obtained by Alías, Caminha and do Nascimento in [4], to establish new uniqueness and nonexistence results concerning maximal spacelike hypersurfaces immersed in a generalized Robertson-Walker (GRW) spacetime obeying the timelike convergence condition. A study of entire solutions for the maximal hypersurface equation in GRW spacetimes is also made and, in particular, a new Calabi-Bernstein type result is presented.

게이트 어레이의 자동 배치, 배선 시스템 (Automatic Placement and Routing System for Gate Array)

  • 이건배;정정화
    • 대한전자공학회논문지
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    • 제25권5호
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    • pp.572-579
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    • 1988
  • In this paper, a system of automatic placement and routing for gate array layout design is proposed. In the placement stage, the circuit is partitioned and using the concept of min-cut slicing, and each partitioned module is placed, so that the routing density over the entire chip be uniformized and the total wiring length be minimized. In the global routing stage, the concept of the probabilistic routing density is introduced to unify the wiring congestions in each channel. In the detailed routing stage, the multi-terminal nets are partitioned into the two-terminal nets. The ordered channel graph is proposed which implies the vertical and the horizontal constranint graphs simultaneously. And using the ordered channel graph, the proposed routing algorithm assigns the signal nets to the tracks. Also the proposed placement and routing algorithms are implimented on IBM/PC-AT to construct PC-level gate array layout system.

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DIMPLE-II: Dynamic Membership Protocol for Epidemic Protocols

  • Sun, Jin;Choi, Byung-K.;Jung, Kwang-Mo
    • Journal of Computing Science and Engineering
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    • 제2권3호
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    • pp.249-273
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    • 2008
  • Epidemic protocols have two fundamental assumptions. One is the availability of a mechanism that provides each node with a set of log(N) (fanout) nodes to gossip with at each cycle. The other is that the network size N is known to all member nodes. While it may be trivial to support these assumptions in small systems, it is a challenge to realize them in large open dynamic systems, such as peer-to-peer (P2P) systems. Technically, since the most fundamental parameter of epidemic protocols is log(N), without knowing the system size, the protocols will be limited. Further, since the network churn, frequently observed in P2P systems, causes rapid membership changes, providing a different set of log(N) at each cycle is a difficult problem. In order to support the assumptions, the fanout nodes should be selected randomly and uniformly from the entire membership. This paper investigates one possible solution which addresses both problems; providing at each cycle a different set of log(N) nodes selected randomly and uniformly from the entire network under churn, and estimating the dynamic network size in the number of nodes. This solution improves the previously developed distributed algorithm called Shuffle to deal with churn, and utilizes the Shuffle infrastructure to estimate the dynamic network size. The effectiveness of the proposed solution is evaluated by simulation. According to the simulation results, the proposed algorithms successfully handle network churn in providing random log(N0 fanout nodes, and practically and accurately estimate the network size. Overall, this work provides insights in designing epidemic protocols for large scale open dynamic systems, where the protocols behave autonomically.

Characterizing Collaboration in Social Network-enabled Routing

  • Mohaisen, Manar;Mohaisen, Aziz
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제10권4호
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    • pp.1643-1660
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    • 2016
  • Connectivity and trust in social networks have been exploited to propose applications on top of these networks, including routing, Sybil defenses, and anonymous communication systems. In these networks, and for such applications, connectivity ensures good performance of applications while trust is assumed to always hold, so as collaboration and good behavior are always guaranteed. In this paper, we study the impact of differential behavior of users on performance in typical social network-enabled routing applications. We classify users into either collaborative or rational (probabilistically collaborative) and study the impact of this classification and the associated behavior of users on the performance of such applications, including random walk-based routing, shortest path based routing, breadth-first-search based routing, and Dijkstra routing. By experimenting with real-world social network traces, we make several interesting observations. First, we show that some of the existing social graphs have high routing costs, demonstrating poor structure that prevents their use in such applications. Second, we study the factors that make probabilistically collaborative nodes important for the performance of the routing protocol within the entire network and demonstrate that the importance of these nodes stems from their topological features rather than their percentage of all the nodes within the network.

Highly Selective Derivative Spectrophotometry for Determination of Nickel Using 1-(2-Pyridylazo)-2-naphthol in Tween 80 Micellar Solutions

  • Eskandari, Habibollah
    • Bulletin of the Korean Chemical Society
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    • 제25권8호
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    • pp.1137-1142
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    • 2004
  • A spectrophotometric and first derivative spectrophotometric method was developed in aquatic Tween 80 micellar solutions for selective determination of nickel without using any pre-separation step. 1-(2-Pyridylazo)-2-naphthol (PAN), as a sensitive chromogenic complexing agent formed a red-colored Ni(II)-PAN complex in Tween 80 media with satisfactory solubility and stability. Conditions such as pH, PAN concentration, type and concentration of micellizing agent were optimized. Molar absorptivity of Ni-PAN complex was found $4.62\;{\times}\;10^4L\;cm^{?1}\;mol^{?1}$ at 569 nm, under the optimum condition. Calibration graphs were derived by zero, first and second derivative spectrophotometry at maximum wavelengths of 569, 578 and 571 nm with linear ranges of 30-1800, 20-2500 and 30-2000 ng $mL^{?1}$ , respectively. Precision as standard deviation as well as accuracy as recovery percent were in the range of 1-20 ng $mL^{?1}$, and 93.3-103.3%, respectively, for the entire of the linear ranges. Spectrophotometric detection limit was 3 ng $mL^{?1}$ and effects of diverse ions on the first derivative determination of nickel were studied to investigate selectivity of the method. Interferences of cobalt and copper on the nickel determination were prevented using o-phenanthroline as masking agent. The recommended procedures were applied to the various synthetic and stainless steel alloys, tea leaves and human hair, with satisfactory results.

Full FPGA 기반 DC 모터 제어 및 모니터링 시스템 설계 (A Design of a Full FPGA-based DC-motor Control and Monitoring System)

  • 임병규;강문호
    • 전자공학회논문지
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    • 제51권11호
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    • pp.211-220
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    • 2014
  • 본 논문에서는 하나의 FPGA 내에 DC 모터 제어와 TFT LCD 인터페이스가 내장되어, 제어와 결과 데이터의 실시간 분석이 용이하고 컴팩트한 전(full)-FPGA 기반 모터 제어 시스템을 보인다. PID 속도 제어 모듈과 TFT LCD 상에 실험 결과를 실시간 보여주기 위한 모니터링 모듈을 하나의 FPGA내에 설계하고, 시뮬레이션과 실험을 통하여 유용성을 보인다. FPGA로는 xc3s400를 사용하였고, AD (Aaltium Designer)를 이용하여 전체 시스템을 설계하였다. DC 모터 4상한 운전을 위해 MOSFET를 이용한 PWM 모터 드라이버를 제작하였다.

Cross-sectional analysis of arbitrary sections allowing for residual stresses

  • Li, Tian-Ji;Liu, Si-Wei;Chan, Siu-Lai
    • Steel and Composite Structures
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    • 제18권4호
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    • pp.985-1000
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    • 2015
  • The method of cross-section analysis for different sections in a structural frame has been widely investigated since the 1960s for determination of sectional capacities of beam-columns. Many hand-calculated equations and design graphs were proposed for the specific shape and type of sections in pre-computer age decades ago. In design of many practical sections, these equations may be uneconomical and inapplicable for sections with irregular shapes, leading to the high construction cost or inadequate safety. This paper not only proposes a versatile numerical procedure for sectional analysis of beam-columns, but also suggests a method to account for residual stress and geometric imperfections separately and the approach is applied to design of high strength steels requiring axial force-moment interaction for advanced analysis or direct analysis. A cross-section analysis technique that provides interaction curves of arbitrary welded sections with consideration of the effects of residual stress by meshing the entire section into small triangular fibers is formulated. In this study, two doubly symmetric sections (box-section and H-section) fabricated by high-strength steel is utilized to validate the accuracy and efficiency of the proposed method against a hand-calculation procedure. The effects of residual stress are mostly not considered explicitly in previous works and they are considered in an explicit manner in this paper which further discusses the basis of the yield surface theory for design of structures made of high strength steels.

Improving International Access to the IARC Monographs Database with Linkage to other Sources of Information

  • Rice, Jerry M.;Waters, Michael D.;Wright, R.Glenn
    • Toxicological Research
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    • 제17권
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    • pp.227-236
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    • 2001
  • The IARC Monographs Programme on the Evaluation of Carcinogenic Risks to Humans has reviewed, summarized and evaluated 869 environmental agents and exposures as oj June 2000. This large collection includes all relevant published epidemiological data on cancer in exposed humans and results of bioassays for carcinogenicity in experimental animals. Since 1986. cancer data have been systematically supplemented by summaries of other toxicological data that are relevant to assessments of carcinogenic hazard. These include summaries qf genetic and related effects of chemicals. which have been prepared as Genetic Activity Profiles (GAP) by the U.S. EPA in collaboration with IARC. As the Mono-graphs have proved increasingly valuable and influential worldwide. they have evolved into an encyclopedia on environmental carcinogenic risks to humans. However. the Monographs have historically been prepared only as printed books with limited distribution. and the Monographs Programme has needed to adjust to expectations oj wider availability. Since 1998 the evaluations and summaries have been globally accessible by Internet from IARC (http://www.iarc.fr) and the GAP profiles by Internet from EPA (http://www.epa.gov/gapdb/). with the two web sites linked. Improved EPN/ARC GAP database and software. GAP2000. now link GAP profiles directly to the appropriate IARC web pages for summaries of evaluations of a given compound and its overall IARC classification. During the year 2000. by means of optical character recognition (OCR) technology the entire series of IARC Monographs is being converted to an electronic version. The first edition is now available commercially in CD-ROM format and will soon become available on-line at .

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Hydrogen Fluoride (HF) 누출 사고 시 피해 범위 예측 및 장외영향평가를 위한 모델링 활용 방법 (Offsite Consequence Modeling for Evacuation Distances against Accidental Hydrogen Fluoride (HF) Release Scenarios)

  • 김정환;정승호
    • Korean Chemical Engineering Research
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    • 제54권4호
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    • pp.582-585
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    • 2016
  • ALOHA, PHAST 등의 사고영향평가 프로그램들을 활용하여 전기 전자 등의 산업 분야에서 많이 쓰이며 인체에 유독한 HF 가 누출되는 사고의 발생 시 대피해야 하는 초기 이격거리에 대한 연구를 수행하였다. 다양한 공정조건과 상태로 저장되어 있는 HF의 사고시나리오를 간단하게 정의하기는 어렵지만 화학물질안전원의 지침대로 10분 내 총 저장량 누출을 최악의 시나리오, 결속된 배관의 일부 파열을 대안의 시나리오로 하여 비상상황을 가정하였다. 그로부터 사고모델링의 시작인 누출속도 산정을 한 후 보수적으로 확산모델링을 적용하여 밤과 낮의 대표적인 기상상태에 따라 일반적인 대피거리로 권고되는 ERPG-2 농도가 도달하는 끝점거리를 구하여 현장에서 신속하게 쓸 수 있는 간단한 그래프와 같은 형태로 제시하였다. 이는 유사시를 대비한 사전적인 성격의 그래프로 화학물질 누출사고 시 신속한 비상대응계획을 수립하는 데 도움이 될 것이다.