• Title/Summary/Keyword: inner metric

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2-TYPE HYPERSURFACES SATISFYING ⟨Δx, x - x0⟩ = const.

  • Jang, Changrim
    • East Asian mathematical journal
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    • v.34 no.5
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    • pp.643-649
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    • 2018
  • Let M be a connected n-dimensional submanifold of a Euclidean space $E^{n+k}$ equipped with the induced metric and ${\Delta}$ its Laplacian. If the position vector x of M is decomposed as a sum of three vectors $x=x_1+x_2+x_0$ where two vectors $x_1$ and $x_2$ are non-constant eigenvectors of the Laplacian, i.e., ${\Delta}x_i={\lambda}_ix_i$, i = 1, 2 (${\lambda}_i{\in}R$) and $x_0$ is a constant vector, then, M is called a 2-type submanifold. In this paper we proved that a connected 2-type hypersurface M in $E^{n+1}$ whose postion vector x satisfies ${\langle}{\Delta}x,x-x_0{\rangle}=c$ for a constant c, where ${\langle}$, ${\rangle}$ is the usual inner product in $E^{n+1}$, is of null 2-type and has constant mean curvature and scalar curvature.

Turbo Decoding for Precoded Systems over Multipath Fading Channels

  • Zhang, Qing;Le-Ngoc, THo
    • Journal of Communications and Networks
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    • v.6 no.3
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    • pp.203-208
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    • 2004
  • A combined precoding and turbo decoding strategy for multi-path frequency-selective fading channels is presented. The precoder and multi-path fading channel are jointly modeled as a finite-state probabilistic channel to provide the multi-stage turbo decoder with its statistics information. Both a priori and a posteriori probabilities are used in the metric computation to improve the system performance. Structures of the combined turbo-encoder, interleaver, and precoder in the transmitter and two-stage turbo decoder in the receiver are described. Performance of the proposed scheme in fixed, Rician and Rayleigh multi-path fading channels are evaluated by simulation. The results indicate that the combined precoding and two-stage turbo decoding strategy provides a considerable performance improvement while maintaining the same inner structure of a conventional turbo decoder.

Polychaete Community Structure from Inshore and Offshore of Lake Shihwa (Korea) in March, 2008 (2008년 3월 시화방조제 내측과 외측해역에서 저서다모류 군집구조)

  • Jung, Rae-Hong;Choi, Min-Kyu;Yoon, Sang-Pil;Lee, Won-Chan;Choi, Hee-Gu
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.45 no.1
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    • pp.56-64
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    • 2012
  • Polychaete community structure and its spatial distribution was investigated in 2008 from inshore and offshore of Lake Shihwa, Korea, in order to evaluate status of the benthic environment according to construction of the dike and the water gate. In the present study, the number of species, density, and diversity of polychaete community in inshore was significantly different from those in offshore. The density of polychaete community in offshore increased with the number of species whereas the diversity in inshore increased with the number of species. Dominant species in offshore were 13 species, higher than 1% of the total polychaete individuals. Heteromastus filiformis, known as the most dominant species before the construction of the dike, was the most dominant species in offshore, which collectively account for 54% of the total polychaete individuals. In inshore, the seven species were dominant, higher than 1% of the total individuals. Lumbrineris longifolia, Polydora sp., Capitella capitata, Pseudopolydora paucibranchiata, known as pollution tolerant species, contributed to higher than 75% of the total individuals in inshore. Multivariate statistical analyses, non-metric multidimensional scaling, showed apparent difference in polychaete community structure between inshore and offshore, and also difference between inner sites and outer sites of inshore around the water gate. Sediment characteristics (total organic carbon and nitrogen, ignition loss, and acid volatile sulfide) measured in this study also supported to this result. Therefore, this indicates that the offshore provides better benthic environments for polychaete habitation than the inshore, and the inshore around the water gate shows improving benthic environment, compared to the inner inshore.

Development of Fishway Assessment Model based on the Fishway Structure, Hydrology and Biological Characteristics in Lotic Ecosystem

  • Choi, Ji-Woong;Park, Chan-Seo;An, Kwang-Guk
    • Journal of Ecology and Environment
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    • v.39 no.1
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    • pp.71-80
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    • 2016
  • The main goal of this study is to develop a multi-metric fishway assessment model (Mm-FA) and evaluate the efficiency of fishway. The Mm-FA model has three major fishway components with nine metrics: structural characteristics, hydraulic/hydrologic features, and biological attributes. The model was developed for diagnosing and assessing fishway efficiency and tested to Juksan Weir at the Yeongsan River Watershed. Structural characteristics of fishway included slope of the fishway (M1), ratios of fishway width to stream width (M2), and the proportion of orifice clogging and orifice size (M3). Hydraulic/hydrologic characteristics included depth of fishway entrance head (M4), depth of exit tail (M5), and current velocity of inner fishway (M6). Biological characteristics included fish species ratio of inner fishway to upper-lower weir (M7), fish length distribution (M8), and the proportion of migratory fish species to the total number of species (M9). Overall, the assessment of fishway efficiency showed the total score of the Mm-FA model was 25 in the Juksan Weir, indicating "good condition" by the criteria of the five-level classification system. The Mm-FA model may be used as a key tool for the assessment of fishway efficiency, especially on the 16 weirs constructed for the "Four Rivers Restoration Project" after a partial calibration of Mm-FA model.

2-TYPE SURFACES AND QUADRIC HYPERSURFACES SATISFYING ⟨∆x, x⟩ = const.

  • Jang, Changrim;Jo, Haerae
    • East Asian mathematical journal
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    • v.33 no.5
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    • pp.571-585
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    • 2017
  • Let M be a connected n-dimensional submanifold of a Euclidean space $E^{n+k}$ equipped with the induced metric and ${\Delta}$ its Laplacian. If the position vector x of M is decomposed as a sum of three vectors $x=x_1+x_2+x_0$ where two vectors $x_1$ and $x_2$ are non-constant eigen vectors of the Laplacian, i.e., ${\Delta}x_i={\lambda}_ix_i$, i = 1, 2 (${\lambda}_i{\in}R$) and $x_0$ is a constant vector, then, M is called a 2-type submanifold. In this paper we showed that a 2-type surface M in $E^3$ satisfies ${\langle}{\Delta}x,x-x_0{\rangle}=c$ for a constant c, where ${\langle},{\rangle}$ is the usual inner product in $E^3$, then M is an open part of a circular cylinder. Also we showed that if a quadric hypersurface M in a Euclidean space satisfies ${\langle}{\Delta}x,x{\rangle}=c$ for a constant c, then it is one of a minimal quadric hypersurface, a genaralized cone, a hypersphere, and a spherical cylinder.

Seasonal Variation of Mesozooplankton Communities in the Semi-enclosed Muan Bay, Korea (반 폐쇄된 무안만 중형동물플랑크톤 군집의 계절 변동)

  • Moon, Seong-Yong;Seo, Min-Ho;Shin, Yong-Sik;Soh, Ho-Young
    • Ocean and Polar Research
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    • v.34 no.1
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    • pp.1-18
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    • 2012
  • We investigated seasonal changes in the mesozooplankton community structure in November 2006 and February, May, and August 2007 at 12 stations in the semi-enclosed Muan Bay, Korea. Forty taxa were sampled, with an average abundance ranging from 1,459 to 20,078 indiv. $m^{-3}$; the highest abundance was detected in August 2007, and the lowest in February 2007. Acartia omorii, A. hudsonica, A. ohtsukai, Bestiolina coreana, Calanopia sp., Paracalanus parvus s. l., Cirripedia larvae, Decapoda larvae, and Gastropoda larvae were the most abundant taxa detected. The species diversity of the mesozooplankton was high around the inner regions in August 2007 but it was relatively low in November 2006. Non-metric multidimensional scaling (nMDS) revealed significant differences in the structure of mesozooplankton community among the seasons. Canonical correspondence analysis (CCA), performed to examine the relationships among dominant taxa, stations, and environmental variables, showed that most species of copepods were positively correlated with temperature, salinity, chlorophyll a, and COD concentration. Our results suggested that the mesozooplankton community structure observed in this study might be affected partly by the seasonal changes in environmental variables, such as the status of the sluice gates (i.e., open or closed) and the in situ production of resting eggs by major copepods.

Seasonal Variation of Zooplankton Communities in the Southern Coastal Waters of Korea (남해 연안 동물플랑크톤 군집의 계절변동)

  • Moon, Seong-Yong;Oh, Hyun-Ju;Soh, Ho-Young
    • Ocean and Polar Research
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    • v.32 no.4
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    • pp.411-426
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    • 2010
  • The seasonal variations in the zooplankton community of the southern coastal waters of Korea were investigated seasonally in May, August, November 2005, and February 2006. A total of 74 taxa were sampled, with an average abundance ranging from 2,426~23,793 indiv./$m^3$, among which Noctiluca scintillans predominated. Noctiluca scintillans, Acartia omorii, Acartia erythraea, Paracalanus parvus s. l., Centropages abdominalis, Tortanus forcipatus, and Pseudevadne tergestina were the most abundant species detected. Zooplankton diversity was high around the inner regions during the summer, but it was relatively low in the stations located in the outer regions in the autumn. Non-metric multidimensional scaling (nMDS) revealed significant differences in the structures of the zooplankton community among the three regions. Our results showed that the seasonal variations in zooplankton communities in the southern coastal waters of Korea were attributable to seasonal changes in temperature, salinity, chlorophyll a concentrations, and N. scintillans blooms; additionally, this particularly study area might have been specifically influenced by the appearance of the Tsushima Warm Current.

The Spatial Patterns of Organic Matter Content and Macrobenthos during Summer in the Muan Bay Intertidal Zone, Korea (하계 무안만 조간대에서의 유기물 함량 및 대형저서동물의 공간 분포특성)

  • Eun Young Ko;Kyoung Seon Lee
    • Journal of Marine Life Science
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    • v.8 no.2
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    • pp.121-127
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    • 2023
  • The study was performed in order to understand the association between organic matter content in the sediments and the distribution of macrobenthos in the intertidal zone of the Muan bay. The sediment samples obtained from 21 sampling sites in August 2019 were analyzed for sediment composition and organic matter content (Ignition loss; IL and Total organic carbon; TOC). Further the macro benthos was sorted and enumerated. The sediments of inner area of bay has coarser composition where mouth part of bay, the sediments were predominantly silty. The highest organic matter content (both of IL and TOC) was measured at station 10 located near the Mokpo area while the lowest values was measured at station 20 adjacent to the north side of the bay. The 4 most abundant species accounted for more than 10% of all specimens were Assiminea sp., Musculista senhousia, Cerithideopsilla cingulate and Heteromastus filiformis. The maximum number of species and density were observed at station 10. Cluster analysis and non-metric multidimensional scaling (MDS) allow identification of four benthic assemblages based on species abundance. The correlation analysis revealed that there was a significant difference (p<0.05) in the density with TOC. Based on the analysis; it was found that the distribution of macrobenthos varied with the differences in sediment composition and organic matter content.

Spatial Characteristics of Fish Assemblage in Seomjin River Estuary and Gwangyang Bay (광양만 및 섬진강 하구에서 채집된 어류의 공간적 군집 특성)

  • Yong Jun Kim;Tae-Sik Yu;Chang Woo Ji;Ihn-Sil Kwak
    • Korean Journal of Ichthyology
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    • v.35 no.4
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    • pp.285-293
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    • 2023
  • This study conducted to investigate the temporal and spatial variations in the fish community structure in the Seomjin River estuary (ES1~ES3) and Gwangyang Bay (ES4~ES8). Surveys were conducted at eight points between May and September from 2020 to 2021. A total of 5,111 fish were collected, representing 42 families, 68 genera, and 78 species. The dominant species collected during the survey period were Pennahia argentata, with 2,370 individuals and a relative abundance of 46.4%. Also, as a subdominant species, Nuchequula nuchalis, 1643 individuals were caught, accounting for 32.1% relative abundance. According to Bray-Curtis similarities, observations were divided into three groups based on the fish community composition, and they were further categorized into brackish water areas, coastal areas, inner areas, and outer areas. Group 1 mainly consisted of fish inhabiting freshwater and brackish water areas, while group 3 exclusively contained fish living in marine waters. ANOSIM (Analysis of Similarity) analysis revealed a significant difference (ANOSIM R=0.783, p=0.001) between Group 2 and Group 3, and the species contributing to these clusters were P. argentata and Muraenesox cinereus. The study demonstrated spatial changes in the fish community structure from the Seomjin River estuary to the outer coast. The findings highlight the importance of long-term monitoring of major species that exhibit spatial variations, serving as essential foundational data for the conservation and management of economically significant fish species.

Source Term Characterization for Structural Components in $17{\times}17$ KOFA Spent Fuel Assembly ($17{\times}17$ KOFA 사용후핵연료집합체내 구조재의 방사선원항 특성 분석)

  • Cho, Dong-Keun;Kook, Dong-Hak;Choi, Heui-Joo;Choi, Jong-Won
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.8 no.4
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    • pp.347-353
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    • 2010
  • Source terms of metal waste comprising a spent fuel assembly are relatively important when the spent fuel is pyroprocessed, because cesium, strontium, and transuranics are not a concern any more in the aspect of source term of permanent disposal. In this study, characteristics of radiation source terms for each structural component in spent fuel assembly was analyzed by using ORIGEN-S with a assumption that 10 metric tons of uranium is pyroprocessed. At first, mass and volume for each structural component of the fuel assembly were calculated in detail. Activation cross section library was generated by using KENO-VI/ORIGEN-S module for top-end piece and bottom-end piece, because those are located at outer core with different neutron spectrum compared to that of inner core. As a result, values of radioactivity, decay heat, and hazard index were reveled to be $1.40{\times}10^{15}$ Bequerels, 236 Watts, $4.34{\times}10^9m^3$-water, respectively, at 10 years after discharge. Those values correspond to 0.7 %, 1.1 %, 0.1 %, respectively, compared to that of spent fuel. Inconel 718 grid plate was shown to be the most important component in the all aspects of radioactivity, decay heat, and hazard index although the mass occupies only 1 % of the total. It was also shown that if the Inconel 718 grid plate is managed separately, the radioactivity and hazard index of metal waste could be decreased to 20~45 % and 30~45 %, respectively. As a whole, decay heat of metal waste was shown to be negligible in the aspect of disposal system design, while the radioactivity and hazard index are important.