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FINITENESS AND VANISHING RESULTS ON HYPERSURFACES WITH FINITE INDEX IN ℝn+1: A REVISION

  • Van Duc, Nguyen
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.3
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    • pp.709-723
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    • 2022
  • In this note, we revise some vanishing and finiteness results on hypersurfaces with finite index in ℝn+1. When the hypersurface is stable minimal, we show that there is no nontrivial L2p harmonic 1-form for some p. The our range of p is better than those in [7]. With the same range of p, we also give finiteness results on minimal hypersurfaces with finite index.

The Ecological Diagnosis of the Vegetation in Urban Neighborhood Park -In case of Hwasan Park, Chonju- (도시근린공원 식생의 생태학적 진단 -전주화산공원을 중심으로-)

  • Kim, Chang-Hwan;Myung, Hyun
    • Journal of the Korean Institute of Landscape Architecture
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    • v.28 no.6
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    • pp.62-76
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    • 2001
  • This study is to offer the basic information and materials for the restoration of the urban forest and the ecologically healthy and continuous green belt through the investigation and the analysis on the vegetation in Hwasan Park, Chonju-City. The flora of Hwasan Neighborhood park was composed of 86 families 230 genera, 261 species, 35 varieties, 1 formae or 298 Taxa. Among them, calculation of Pte-Q Index represented 0.60, Fisher's Index. Some characteristics of the plants in this area have represented such as Th-D1-R5 type in biological type, erect form(64.6%) in growth type, 30 taxa in naturalized plants. The life form spectra investigated from Hwasan neighborhood park was recognized as the following M"17.4%, N:11.4%, E:0.3%, Ch:0%, H:29.8%, G:6.7%, HH:0%, Th:34.2%. By the Z-M method 5 plant communities and 3 afforestation were recognized; Quercus variabilis community, Q.acutissima community, Q.serrata community, Sorbus alnifolia community, Pinus densiflora community, P.rigida afforestation, Robinia pseudo-acacia afforestation and Larix leptolepis afforestation. The actual vegetation map constructed on the grounds of the communities classified and other data. The pattern of successional trend of tree species might be suggested: L. leptoleipis, P. rigida and P. densifloralongrightarrowQ.variabilis and Q.acutissimalongrightarrowS.alnifolia and Q.serratalongrightarrowCarpinus tschonoskii community. Three measurements of species diversity (richness index(SR), Shannon-Wiener index(H'), evenness index(J')) and their relationship with community type were studied in the surveyed plant communities. Q.serrata community was higher in SR, H', J' than the other communities, whereas R.pseduo-acacia afforestation was low. Finally, The vegetation of the Hwasan neighborhood park must not allowed any more. Nothing ca be better than native states in preserving the ecosystems.tems.

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A Study on the Crystallinity in Silk Fibers(II) -Crystallization in Silk Fibroin by Acid Treatment and Its Photoyellowing Reduction Effect- (견의 결정성에 관한 연구(II) -견 피브로인의 산 처리에 의한 결정화와 황변억제효과에 대하여-)

  • 장정대;최석철
    • Textile Coloration and Finishing
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    • v.6 no.2
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    • pp.24-29
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    • 1994
  • In order to investigate the crystallization in silk fibroin induced by acid treatment and its photo-yellowing reduction effect. silk fibroin were immersed in PH 3.5~4.0 sulfuric acid and 0.01N hydro-chloric acid at 2$0^{\circ}C$, and the changes of crystallinity were measured by infrared spectroscopy, X-ray diffraction. Yellowness index caused by UV irradiation were also observed. The results are as follows : 1. ${\beta}$-form transition occurs when the silk fibroin are immersed at 2$0^{\circ}C$ in pH 3.5~4.0 sulfuric acid and 0.01N hydro-chloric acid. Formation of new hydrogenbond in molecules on the amorphous region induced ${\beta}$-form structure, and increased crystallinity. 2. Crystallization owing to $\beta$-form transition reduced the initial yellowness index by ultraviolet irradiation.

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Analysis on Kinematic Characteristics for a Translational 3-DOF Parallel Mechanism with Constrained Stewart Platform Structure (스튜워트 플랫폼 구조를 이용한 병진 3-자유도 병렬 메커니즘의 기구학 특성 분석)

  • 이석희;김희국;이병주
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.525-529
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    • 2004
  • A novel translational 3-dof parallel mechanism is proposed and analyzed. The mechanism consists of three RRPS serial subchains and an additional passive 3-dof type serial subchain. Three RRPS serial subchains alone may form a structure of the 6-DOF Stewart Platform mechanism. However, in the proposed mechanism, an additional passive serial subchain acts as constraints to restrict the output motion of the mechanism in 3-DOF translational space. The closed form position solutions of the proposed mechanism and its first-order kinematic model are derived. Then its workspace size and kinematic characteristics are examined via kinematic isotropic index.

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Analysis on Kinematic Characteristics for a Spherical 3-DOF Parallel Mechanism with Constrained Stewart Platform Structure (스튜워트 플랫폼 구조를 이용한 구형 3-자유도 병렬 메커니즘의 기구학 특성 분석)

  • 이석희;김희국;이병주
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.520-524
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    • 2004
  • In this work, a novel spherical 3-dof parallel mechanism is proposed and analyzed. The mechanism consists of three RRPS serial subchains and an additional passive 3-dof type serial subchain. Three RRPS serial subchains alone may form a structure of 6-DOF Stewart Platform mechanism. However, in the proposed mechanism, an additional passive serial subchain acts as constraints to restrict the output motion of the mechanism within 3-DOF spherical space. The closed form solutions of position analysis of the proposed mechanism and its first-order kinematic model are derived. Then its workspace size and kinematic characteristics are examined via kinematic isotropic index.

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Analysis on Kinematic Characteristics for Spatial 3-DOF Parallel Mechanisms Employing Stewart Platform Structure (스튜워트 플랫폼 구조를 이용한 공간형 3자유도 병렬 메커니즘의 기구학 특성 분석)

  • Lee Seok Hee;Lee Jung Hun;Kim Whee Kuk;Yi Byung Ju
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.8 s.173
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    • pp.118-127
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    • 2005
  • A spatial 3 degrees-of-freedom mechanism employing Stewart Platform structure is proposed: the mechanism maintains the 3- RRPS structure of Stewart Platform but has an additional passive PRR serial sub-chain at the center area of the mechanism in order to constrain the output motion of the mechanism within the output motion space of the added PRR serial subchain. The forward and reverse position analyses of the mechanism are performed. Then the mechanism having both the forward and the reverse closed-form solutions is suggested and its closed form solutions are derived. It is confirmed, through the kinematic analysis of those two proposed mechanisms via kinematic isotropic index, that both the proposed mechanisms have fairly good kinematic characteristics compared to the existing spatial 3-DOF mechanisms in literature.

Minimax Filter for Continuous-Time State Space Models (연속형 상태 방정식에 대한 최소최대 필터)

  • Kwon, Wook-Hyun;Han, Soo-Hee
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.1976-1978
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    • 2001
  • In this paper, a new robust deadbeat minimax FIR filter (DMFF) is proposed for continuous-time state space signal models. Linearity, deadbeat property, FIR structure, and independence of the initial state information will be required in advance, in addition to a performance index of the worst case gain between the disturbance and the current estimation error. The proposed DMFF is obtained by directly minimizing a performance index with the deadbeat constraint. The proposed DMFF is represented first in a standard FIR form and then in an iterative form. The DMFF will be shown to be used also for the IIR structure. It is shown that the DMFF is similar in form to the existing receding horizon unbiased FIR filter (RHUFF) with some noise covariances. The former is a deterministic filter, while the latter is a stochastic filter.

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Study on the Difference of Cold-heat Patterns According to Sasang Cinstitution (사상체질에 따른 한열변증의 차이에 관한 연구)

  • Park, SooJung;Lee, Youngseop;Joo, Jongcheon
    • Journal of Sasang Constitutional Medicine
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    • v.29 no.4
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    • pp.326-335
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    • 2017
  • Objectives The purpose of this study was to analyze the difference of cold-heat pattern according to sasang constitution. Methods 3891 subjects were joined in this study. The sasang cinstitution diagnosis were proceeded by sasang constitution experts. The questionnaires and anthropometric measurements of the subjects were collected. Results The effect of gender and body mass index on the cold-heat pattern according to sasang constitution were significant. The effect of age on the cold-heat pattern according to sasang constitution were not significant. The distribution of short form-12 and blood test on the cold-heat pattern according to sasang constitution were significant. Conclusions There were significant different distribution of cold-heat pattern asscording to sasang constitution by gender, body mass index, short form-12, blood test.

Analysis of Generalized Impact Factors and the Indices of Journals

  • Abbas, Ash Mohammad
    • Journal of Information Processing Systems
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    • v.7 no.2
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    • pp.341-354
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    • 2011
  • Analyzing the relationships among the parameters for quantifying the quality of research published in journals is a challenging task. In this paper, we analyze the relationships between the impact factor, h-index, and g-index of a journal. To keep our analysis simple and easy to understand, we consider a generalized version of the impact factor where there is no time window. In the absence of the time window, the impact factor converges to the number of citations received per paper. This is not only justified for the impact factor, it also simplifies the analysis of the h-index and g-index as well because addition of a time window in the form of years complicates the computation of indices too. We derive the expressions for the relationships among impact factor, h index, and g-index and validate them using a given set of publication-citation data.

A new damage index for seismic fragility analysis of reinforced concrete columns

  • Kang, Jun Won;Lee, Jeeho
    • Structural Engineering and Mechanics
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    • v.60 no.5
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    • pp.875-890
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    • 2016
  • A new structural damage index for seismic fragility analysis of reinforced concrete columns is developed based on a local tensile damage variable of the Lee and Fenves plastic-damage model. The proposed damage index is formulated from the nonlinear regression of experimental column test data. In contrast to the response-based damage index, the proposed damage index is well-defined in the form of a single monotonically-increasing function of the volume weighted average of local damage distribution, and provides the necessary computability and objectivity. It is shown that the present damage index can be appropriately zoned to be used in seismic fragility analysis. An application example in the computational seismic fragility evaluation of reinforced concrete columns validates the effectiveness of the proposed damage index.