• Title/Summary/Keyword: Periodic map

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ANALYSIS OF A STAGE-STRUCTURED PREDATOR-PREY SYSTEM WITH IMPULSIVE PERTURBATIONS AND TIME DELAYS

  • Song, Xinyu;Li, Senlin;Li, An
    • Journal of the Korean Mathematical Society
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    • v.46 no.1
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    • pp.71-82
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    • 2009
  • In this paper, a stage-structured predator-prey system with impulsive perturbations and time delays is presented to investigate the ecological problem of how a pest population and natural enemy population can coexist. Sufficient conditions are obtained using a discrete dynamical system determined by a stroboscopic map, which guarantee that a 'predator-extinction' periodic solution is globally attractive. When the impulsive period is longer than some time threshold or the impulsive harvesting rate is below a control threshold, the system is permanent. Our results provide some reasonable suggestions for pest management.

NUMBER THEORETICAL PROPERTIES OF ROMIK'S DYNAMICAL SYSTEM

  • Cha, Byungchul;Kim, Dong Han
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.1
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    • pp.251-274
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    • 2020
  • We study a dynamical system that was originally defined by Romik in 2008 using an old theorem of Berggren concerning Pythagorean triples. Romik's system is closely related to the Farey map on the unit interval which generates an additive continued fraction algorithm. We explore some number theoretical properties of the Romik system. In particular, we prove an analogue of Lagrange's theorem in the case of the Romik system on the unit quarter circle, which states that a point possesses an eventually periodic digit expansion if and only if the point is defined over a real quadratic extension field of rationals.

Detecting cell cycle-regulated genes using Self-Organizing Maps with statistical Phase Synchronization (SOMPS) algorithm

  • Kim, Chang Sik;Tcha, Hong Joon;Bae, Cheol-Soo;Kim, Moon-Hwan
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.1 no.2
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    • pp.39-50
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    • 2008
  • Developing computational methods for identifying cell cycle-regulated genes has been one of important topics in systems biology. Most of previous methods consider the periodic characteristics of expression signals to identify the cell cycle-regulated genes. However, we assume that cell cycle-regulated genes are relatively active having relatively many interactions with each other based on the underlying cellular network. Thus, we are motivated to apply the theory of multivariate phase synchronization to the cell cycle expression analysis. In this study, we apply the method known as "Self-Organizing Maps with statistical Phase Synchronization (SOMPS)", which is the combination of self-organizing map and multivariate phase synchronization, producing several subsets of genes that are expected to have interactions with each other in their subset (Kim, 2008). Our evaluation experiments show that the SOMPS algorithm is able to detect cell cycle-regulated genes as much as one of recently reported method that performs better than most existing methods.

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Microwave Absorbing Properties of Grid-type Magnetic Composites (격자형 자성 복합재의 전파흡수 특성)

  • Park, Myung-Joon;Kim, Sung-Soo
    • Korean Journal of Metals and Materials
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    • v.50 no.5
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    • pp.389-393
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    • 2012
  • Improvement in microwave absorbance has been investigated by insertion of a periodic air cavity in rubber composites filled with magnetic powders. A mixture of $Co_2Z$ hexagonal ferrite and Fe powders were used as the absorbent fillers in silicone rubber matrix. The complex permeability and complex permittivity of the magnetic composites were measured by reflection/transmission technique. In the grid-type magnetic absorbers, the equivalent permeability (${\mu}_{eq}$) and permittivity (${\varepsilon}_{eq}$) are calculated as a function of air volume rate (K) on the basis of effective medium theory. Reduction in the material parameters (especially, dielectric permittivity and magnetic loss) has been estimated with the increase of K. Plotting the ${\mu}_{eq}$ and ${\varepsilon}_{eq}$ on the solution map of wave-impedance matching, wide bandwidth microwave absorbance has been predicted in the magnetic composites with an optimum value of K.

Construction of High-Resolution Topographical Map of Macro-tidal Malipo beach through Integration of Terrestrial LiDAR Measurement and MBES Survey at inter-tidal zone (대조차 만리포 해안의 지상 LiDAR와 MBES를 이용한 정밀 지형/수심 측량 및 조간대 접합을 통한 정밀 지형도 작성)

  • Shim, Jae-Seol;Kim, Jin-Ah;Kim, Seon-Jeong;Kim, Sang-Ik
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.22 no.1
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    • pp.58-66
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    • 2010
  • In this paper, we have constructed high-resolution topographical map of macro-tidal Malipo beach through integration of terrestrial LiDAR measurement and MBES survey data at inter-tidal zone. To acquire the enough information of inter-tidal zone, we have done terrestrial LiDAR measurement mounted on the roof of vehicle with DGPS through go-stop-scan method at the ebb tide and MBES depth surveying with tide gauge and eye staff measurement for tide correction and MSL calculation at the high tide all together. To integrate two kinds of data, we have unified the vertical coordination standard to Incheon MSL. The mean error of overlapped inter-tidal zone is about 2~6 cm. To verify the accuracy of terrestrial LiDAR, RTK-DGPS measurement have done simultaneously and the difference of Z value RMSE is about 4~7 cm. The resolution of Malipo topographical map is 50 cm and it has constructed to DEM (Digital Elevation Model) based on GIS. Now it has used as an input topography information for the storm-surge inundation prediction models. Also it will be possible to use monitoring of beach process through the long-term periodic measurement and GIS-based 3D spatial analysis calculating the erosion and deposition considering with the artificial beach transition and coastal environmental parameters.

Classification of Consonants by SOM and LVQ (SOM과 LVQ에 의한 자음의 분류)

  • Lee, Chai-Bong;Lee, Chang-Young
    • The Journal of the Korea institute of electronic communication sciences
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    • v.6 no.1
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    • pp.34-42
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    • 2011
  • In an effort to the practical realization of phonetic typewriter, we concentrate on the classification of consonants in this paper. Since many of consonants do not show periodic behavior in time domain and thus the validity for Fourier analysis of them are not convincing, vector quantization (VQ) via LBG clustering is first performed to check if the feature vectors of MFCC and LPCC are ever meaningful for consonants. Experimental results of VQ showed that it's not easy to draw a clear-cut conclusion as to the validity of Fourier analysis for consonants. For classification purpose, two kinds of neural networks are employed in our study: self organizing map (SOM) and learning vector quantization (LVQ). Results from SOM revealed that some pairs of phonemes are not resolved. Though LVQ is free from this difficulty inherently, the classification accuracy was found to be low. This suggests that, as long as consonant classification by LVQ is concerned, other types of feature vectors than MFCC should be deployed in parallel. However, the combination of MFCC/LVQ was not found to be inferior to the classification of phonemes by language-moded based approach. In all of our work, LPCC worked worse than MFCC.

Water Quality Elements Extraction of Lake by the Landsat TM Images (Landsat TM 영상에 의한 호수의 수질인자 추출)

  • 최승필;양인태
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.16 no.2
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    • pp.225-233
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    • 1998
  • It is necessary to check the water quality of the lake on a continuous basis to determine the appearance of water pollution; however, it not only takes much time and expenses but it is considerably difficult to investigate the wide range of the area. If we use the remote sensing technique through the use of satellites, the status of water quality can be checked covering many wide areas simultaneously; and because the same area can be measured on a periodic basis, it is extremely effective in investigating the water quality. Furthermore, as some of the Landsat sensors carry characteristics which sense objects according to wave length, the distribution of water quality can be checked relatively accurately within a short period of time, while its image can be displayed in color. Hence, this research has attempted to extract water quality elements, such as transparency, water depth, and surface water temperature by utilizing the satellite data, and has prepared the water quality distribution image map of the Lake Hwajinpo by presenting the related empirical formula of the water quality elements. If the water quality distribution image map is prepared after extracting the water quality elements from the DN of the Landsat TM image and then carrying out TIN analysis through the use of GIS, relatively more accurate pattern can be learned covering a wide rage of area than the pattern presented based on the value obtained from actual observation.

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A Content-based Audio Retrieval System Supporting Efficient Expansion of Audio Database (음원 데이터베이스의 효율적 확장을 지원하는 내용 기반 음원 검색 시스템)

  • Park, Ji Hun;Kang, Hyunchul
    • Journal of Digital Contents Society
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    • v.18 no.5
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    • pp.811-820
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    • 2017
  • For content-based audio retrieval which is one of main functions in audio service, the techniques for extracting fingerprints from the audio source, storing and indexing them in a database are widely used. However, if the fingerprints of new audio sources are continually inserted into the database, there is a problem that space efficiency as well as audio retrieval performance are gradually deteriorated. Therefore, there is a need for techniques to support efficient expansion of audio database without periodic reorganization of the database that would increase the system operation cost. In this paper, we design a content-based audio retrieval system that solves this problem by using MapReduce and NoSQL database in a cluster computing environment based on the Shazam's fingerprinting algorithm, and evaluate its performance through a detailed set of experiments using real world audio data.

Design and Implementation of the Integrated Management System for Mass Health Examination Operations Management (단체 건강검진 운영 관리를 위한 통합관리 시스템의 설계 및 구현)

  • Jeong, Sung-Wook;Kim, Jun-Woo
    • The Journal of Information Systems
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    • v.24 no.2
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    • pp.163-188
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    • 2015
  • Purpose The healthcare services have drawn so much public attention, and many organizations such as schools and companies require the individuals to undergo the periodic health examination. In general, however, the mass health examination services are not managed in systematic way, and both examinees and medical staffs often experience much inconvenience while preparing, undergoing and managing the services. To address such problems, this paper aims to design the Health Examination Management System (HEMS), an integrated management system for mass health examination operations management, and implement its prototype. Design/methodology/approach First of all, HEMS enables the medical staffs to efficiently collect and manage the examination result data by supporting examination service management. Second, the users can efficiently analyze the cause-and-effect relationships among the examination items by using the visualization tool of HEMS based on the cluster heat map. Finally, the HEMS provides the operational supports for evaluating and managing the service performances. Findings The HEMS indicates that the conventional operations management approaches can be incorporated into the mass health examination services, and it is expected that the proposed system enables the examinees and the medical staffs to participate in such services in more efficient way.

Development of River Quality Management Information System Using Web-GIS of Nonsan-si(I) (Web-GIS를 이용한 논산시 하천수질 관리 정보 지원시스템 구현(I))

  • 박기학;오승교;박성규
    • Journal of environmental and Sanitary engineering
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    • v.18 no.4
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    • pp.15-23
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    • 2003
  • The purpose of this study is to construct e-Nonsan, a user friendly river quality management information system for Nonsan-si basin using GIS (geographical information system) technology. GIS was ideally suited featuring a geographical characteristics(e.g., industries, cattle sheds) and very effectively used in mapping and symbolization for the distribution of the spatial/periodic status(e.g., pie or column chart) of the point/non-point pollutant source loads which can be effectively applied to a information system on the web-site. And a user interface, GUI(graphic user interface) was designed very diversely and simply enabled the and non environmental experts connect with the system and obtain a useful information of river quality. e-Nonsan, a visual mapping system for river quality was developed by reframing the monitoring data as graphic symbols and it was ideally suited to exploring area-wide river quality at a user-friendly manner due to extensibility and scalability along the various survey points. Eventually the final step of this study was to construct e-Nonsan based on Web-GIS could be assessed anywhere if internet service is available and offer a very useful information services of the river quality to the publics.