• Title/Summary/Keyword: Topological degree

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Algebraic Structure for the Recognition of Korean Characters (한글 문자의 인식을 위한 대수적 구조)

  • Lee, Joo-K.;Choo, Hoon
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.12 no.2
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    • pp.11-17
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    • 1975
  • The paper examined the character structure as a basic study for the recognition of Korean characters. In view of concave structure, line structure and node relationship of character graph, the algebraic structure of the basic Korean characters is are analized. Also, the degree of complexities in their character structure is discussed and classififed. Futhermore, by describing the fact that some equivalence relations are existed between the 10 vowels of rotational transformation group by Affine transformation of one element into another, it could be pointed out that the geometrical properting in addition to the topological properties are very important for the recognition of Korean characters.

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Triangular Grid Homogenization Using Local Improvement Method (국소개선기법을 이용한 삼각격자 균질화)

  • Choi, Hyung-Il;Jun, Sang-Wook;Lee, Dong-Ho;Lee, Do-Hyung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.8
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    • pp.1-7
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    • 2005
  • This paper proposes a local improvement method that combines extended topological clean up and optimization-based smoothing for homogenizing triangular grid system. First extended topological clean up procedures are applied to improve the connectivities of grid elements. Then, local optimization-based smoothing is performed for maximizing the distortion metric that measures grid quality. Using the local improvement strategy, we implement the grid homogenizations for two triangular grid examples. It is shown that the suggested algorithm improves the quality of the triangular grids to a great degree in an efficient manner and also can be easily applied to the remeshing algorithm in adaptive mesh refinement technique.

Indeterminate Truss Structure Analysis using Topological Load Redistribution Method (위상학적 하중 재분배 방법을 이용한 부정정 트러스 구조 해석)

  • Choi, Won;Kim, Hanjoong
    • Journal of The Korean Society of Agricultural Engineers
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    • v.57 no.6
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    • pp.59-68
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    • 2015
  • Traditional structure analysis method is based on numerical matrix analysis to use the geometries consisting of the structure. The characteristics require a lot of computer memories and computational time. To avoid these weaknesses, new approach to analyze truss structure was suggested by adopting topological load redistribution method. The axial forces to be not structurely analyzed yet against outside loads were redistributed by using nodal equation of equilibrium randomly at each node without constructing global matrix. However, this method could not calculate the axial forces if structure is statically indeterminate due to degree of many indeterminacies. Therefore, to apply the method suggested in this research, all redundancies of truss structure were replaced by unit loads. Each unit load could make the deformation of a whole structure, and a superposition method was finally adopted to solve the simultaneous equations. The axial forces and deflections agreed with the result of commercial software within the relative error of 1 %, whereas in the case that the axial forces are relatively very smaller than others, the relative errors were increased to 2 %. However, as the values were small enough not to be considered, it was practically useful as a structural analysis model. This model will be used for structural analysis of truss type of large structure such as agricultural farming facility.

COMPUTATION OF SOMBOR INDICES OF OTIS(BISWAPPED) NETWORKS

  • Basavanagoud, B.;Veerapur, Goutam
    • Journal of the Chungcheong Mathematical Society
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    • v.35 no.3
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    • pp.205-225
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    • 2022
  • In this paper, we derive analytical closed results for the first (a, b)-KA index, the Sombor index, the modified Sombor index, the first reduced (a, b)-KA index, the reduced Sombor index, the reduced modified Sombor index, the second reduced (a, b)-KA index and the mean Sombor index mSOα for the OTIS biswapped networks by considering basis graphs as path, wheel graph, complete bipartite graph and r-regular graphs. Network theory plays a significant role in electronic and electrical engineering, such as signal processing, networking, communication theory, and so on. A topological index (TI) is a real number associated with graph networks that correlates chemical networks with a variety of physical and chemical properties as well as chemical reactivity. The Optical Transpose Interconnection System (OTIS) network has recently received increased interest due to its potential uses in parallel and distributed systems.

DEGREE OF NEARNESS

  • Lee, Seung On;Lee, Eun Pyo
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.2
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    • pp.175-182
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    • 2008
  • This paper is a revised version of [5]. In [5], we define' nearness between two points' in a topological space in many ways and show that a continuous function preserves one-sided nearness. We also show that a $T_1$-space is characterized by one-sided nearness exactly. In this paper, we introduce extremally disconnected spaces and show that the new topology generated by the set of equivalence classes as a base is extremally disconnected.

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TIME PERIODIC SOLUTION FOR THE COMPRESSIBLE MAGNETO-MICROPOLAR FLUIDS WITH EXTERNAL FORCES IN ℝ3

  • Qingfang Shi;Xinli Zhang
    • Journal of the Korean Mathematical Society
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    • v.60 no.3
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    • pp.587-618
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    • 2023
  • In this paper, we consider the existence of time periodic solutions for the compressible magneto-micropolar fluids in the whole space ℝ3. In particular, we first solve the problem in a sequence of bounded domains by the topological degree theory. Then we obtain the existence of time periodic solutions in ℝ3 by a limiting process.

Power System Enhanced Monitoring through Strategic PMU Placement Considering Degree of Criticality of Buses

  • Singh, Ajeet Kumar;Fozdar, Manoj
    • Journal of Electrical Engineering and Technology
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    • v.13 no.5
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    • pp.1769-1777
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    • 2018
  • This paper proposes a method for optimal placement of Phasor Measurement Units (PMUs) considering system configuration and its attributes during the planning phase of PMU deployment. Each bus of the system is assessed on four diverse attributes; namely, redundancy of measurements, rotor angle and frequency monitoring of generator buses, reactive power deficiency, and maximum loading limit under transmission line outage contingency, and a consolidated 'degree of criticality' is determined using Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS). The major contribution of the proposed work is the development of modified objective function which incorporates values of the degree of criticality of buses. The problem is formulated as maximization of the aggregate degree of criticality of the system. The resultant PMU configuration extends complete observability of the system and majority of the PMUs are located on critical buses. As budgetary restrictions on utilities may not allow installation PMUs even at optimal locations in a single phase, multi-horizon deployment of PMUs is also addressed. The proposed approach is tested on IEEE 14-bus, IEEE 30-bus, New England (NE) 39-bus, IEEE 57-bus and IEEE 118-bus systems and compared with some existing methods.

Topological Interference Management via 8 Trigram (8괘(卦)(Trigram)를 이용한 위상간섭 제거)

  • Lee, Moon Ho
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.4
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    • pp.95-106
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    • 2017
  • In this paper, we investigate the conventional topological interference management (TIM) with proposed network topology such as 8 trigram (8 user networks). The key observation is that optimal symmetric degree of freedom (DoF) can be achieved for 8 user network with different channel coherence times by adaptively selecting the interference alignment scheme via controlling the alignment feasibility of the transmitted signals. However, this yields a very complex problem, for which we use the combination of different schemes such as interference avoidance and repetition coding. In addition to the above schemes, we propose a triangular transmit cooperation (TTC) algorithm for 8 user networks to achieve the optimal symmetric DoF. And We apply the principle of complementarity of 8 trigram to remove the interferences, and correspond the concepts of win-win and conflict to direct and indirect signals of transmit and receive respectively. We find that the principle of complementarity comes out from the trigram of I Ching. That is, we apply the relation of confrontation and coexistence to 8 transmitters and receivers, and get the results of symmetric DoF of 4/3.

Snapshot of carrier dynamics from amorphous phase to crystal phase in Sb2Te3 thin film

  • Choi, Hyejin;Jung, Seonghoon;Ahn, Min;Yang, Won Jun;Han, Jeong Hwa;Jung, Hoon;Jeong, Kwangho;Park, Jaehun;Cho, Mann-Ho
    • Proceedings of the Korean Vacuum Society Conference
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    • 2016.02a
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    • pp.139.2-139.2
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    • 2016
  • Electrons and phonons in chalcogenide-based materials play are important factors in the performance of an optical data storage media and thermoelectric devices. However, the fundamental kinetics of carriers in chalcogenide materials remains controversial, and active debate continues over the mechanism responsible for carrier relaxation. In this study, we investigated ultrafast carrier dynamics in an multilayered $\{Sb(3{\AA})/Te(9{\AA})\}n$ thin film during the transition from the amorphous to the crystalline phase using optical pump terahertz probe spectroscopy (OPTP), which permits the relationship between structural phase transition and optical property transitions to be examined. Using THz-TDS, we demonstrated that optical conductance and carrier concentration change as a function of annealing temperature with a contact-free optical technique. Moreover, we observed that the topological surface state (TSS) affects the degree of enhancement of carrier lifetime, which is closely related to the degree of spin-orbit coupling (SOC). The combination of an optical technique and a proposed carrier relaxation mechanism provides a powerful tool for monitoring TSS and SOC. Consequently, the response of the amorphous phase is dominated by an electron-phonon coupling effect, while that of the crystalline structure is controlled by a Dirac surface state and SOC effects. These results are important for understanding the fundamental physics of phase change materials and for optimizing and designing materials with better performance in optoelectronic devices.

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Study on the Characteristics of the Korea Internet AS-Level Topology Using Node Degree and Node Connectivity Metrics

  • Oh, Dong Ik;Lee, Kang Won
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.38B no.6
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    • pp.417-426
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    • 2013
  • The Korea Internet AS-level topology was constructed using three data sources: Border Gateway Protocol (BGP) trace collector, Internet Routing Registry (IRR), and Internet Exchange Point (IXP). It has 685 nodes and 1,428 links. The Korea Internet AS-level topology is a small regional subgraph of the massive global one. We investigate how well the Korea Internet preserves the topological characteristics of the global one or how different they are. We carefully select several topology metrics that can analyze the characteristics of the Korea Internet AS-level topology. We also investigate how well Internet topology generators can represent the characteristics of the Korea Internet AS-level topology.