• 제목/요약/키워드: of a G-map

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Effects of Various Packaging Systems on the Quality Characteristic of Goat Meat

  • Morales-delaNuez, A.;Moreno-Indias, I.;Falcon, A.;Arguello, A.;Sanchez-Macias, D.;Capote, J.;Castro, N.
    • Asian-Australasian Journal of Animal Sciences
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    • 제22권3호
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    • pp.428-432
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    • 2009
  • 40 goat kid ribcages were held for 7 days in storage conditions ($4^{\circ}C$) and used to determine the effects of three different packaging methods (atmospheric air, vacuum and modified atmosphere package (MAP) 10:70:20 mixture of $N_2:O_2:CO_2$) on meat quality of the chops. L* was affected by the packaging method being lighter than MAP chops. The coordinate a* significantly increased during storage time. For MAP-packed chops and those kept in atmospheric air, b* increased markedly during storage time whereas it remained unaffected throughout storage when in vacuum packages. Final pH values ranged from 5.6 to 5.8 and no effects were found for either storage time or packaging method. WHC means were lowest for the three packaging methods on day 7 of storage and highest on day 1. Storage time increased water loss in vacuum treatments. Trained panel colour acceptability was lower at 3, 5 and 7 days than on day 1 of storage for atmospheric air treatment and vacuum packaging, while for the MAP treatment average values on days 5 and 7 were lower than those observed on days 1 or 3. Trained panel odour was lower for atmospheric air and vacuum packages at 3, 5, and 7 days storage than at 1 day, while no differences were found in trained panel odour acceptability for MAP packages. With reference to consumers, the MAP proposed in the present study is the chosen method for storing goat meat, rather than vacuum or atmospheric air packaging.

AN ENERGY DENSITY ESTIMATE OF HEAT EQUATION FOR HARMONIC MAP

  • Kim, Hyun-Jung
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제18권1호
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    • pp.79-86
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    • 2011
  • Suppose that (M,g) is a complete and noncompact Riemannian mani-fold with Ricci curvature bounded below by $-K{\leq}0$ and (N, $\bar{g}$) is a complete Riemannian manifold with nonpositive sectional curvature. Let u : $M{\times}[0,{\infty}){\rightarrow}N$ be the solution of a heat equation for harmonic map with a bounded image. We estimate the energy density of u.

Fundamental Groups of a Topological Transformation Group

  • Chu, Chin-Ku;Choi, Sung Kyu
    • 충청수학회지
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    • 제4권1호
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    • pp.103-113
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    • 1991
  • Some properties of a path space and the fundamental group ${\sigma}(X,x_0,G)$ of a topological transformation group (X, G, ${\pi}$) are described. It is shown that ${\sigma}(X,x_0,H)$ is a normal subgroup of ${\sigma}(X,x_0,G)$ if H is a normal subgroup of G ; Let (X, G, ${\pi}$) be a transformation group with the open action property. If every identification map $p:{\Sigma}(X,x,G)\;{\longrightarrow}\;{\sigma}(X,x,G)$ is open for each $x{\in}X$, then ${\lambda}$ induces a homeomorphism between the fundamental groups ${\sigma}(X,x_0,G)$ and ${\sigma}(X,y_0,G)$ where ${\lambda}$ is a path from $x_0$ to $y_0$ in X ; The space ${\sigma}(X,x_0,G)$ is an H-space if the identification map $p:{\Sigma}(X,x_0,G)\;{\longrightarrow}\;{\sigma}(X,x_0,G)$ is open in a topological transformation group (X, G, ${\pi}$).

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DISCUSSION ON b-METRIC SPACES AND RELATED RESULTS IN METRIC AND G-METRIC SPACES

  • Bataihah, Anwar;Qawasmeh, Tariq;Shatnawi, Mutaz
    • Nonlinear Functional Analysis and Applications
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    • 제27권2호
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    • pp.233-247
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    • 2022
  • In the present manuscript, we employ the concepts of Θ-map and Φ-map to define a strong (𝜃, 𝜙)s-contraction of a map f in a b-metric space (M, db). Then we prove and derive many fixed point theorems as well as we provide an example to support our main result. Moreover, we utilize our results to obtain many results in the settings of metric and G-metric spaces. Our results improve and modify many results in the literature.

G'p-SPACES FOR MAPS AND HOMOLOGY DECOMPOSITIONS

  • Yoon, Yeon Soo
    • 충청수학회지
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    • 제28권4호
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    • pp.603-614
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    • 2015
  • For a map $p:X{\rightarrow}A$, we define and study a concept of $G^{\prime}_p$-space for a map, which is a generalized one of a G'-space. Any G'-space is a $G^{\prime}_p$-space, but the converse does not hold. In fact, $CP^2$ is a $G^{\prime}_{\delta}$-space, but not a G'-space. It is shown that X is a $G^{\prime}_p$-space if and only if $G^n(X,p,A)=H^n(X)$ for all n. We also obtain some results about $G^{\prime}_p$-spaces and homology decompositions for spaces. As a corollary, we can obtain a dual result of Haslam's result about G-spaces and Postnikov systems.

ON FARTHEST POINTS IN METRIC SPACES

  • Narang, T.D.
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제9권1호
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    • pp.1-7
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    • 2002
  • For A bounded subset G of a metric Space (X,d) and $\chi \in X$, let $f_{G}$ be the real-valued function on X defined by $f_{G}$($\chi$)=sup{$d (\chi, g)\in:G$}, and $F(G,\chi)$={$z \in X:sup_{g \in G}d(g,z)=sup_{g \in G}d(g,\chi)+d(\chi,z)$}. In this paper we discuss some properties of the map $f_G$ and of the set $ F(G, \chi)$ in convex metric spaces. A sufficient condition for an element of a convex metric space X to lie in $ F(G, \chi)$ is also given in this pope.

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FIXED POINTS OF BETTER ADMISSIBLE MAPS ON GENERALIZED CONVEX SPACES

  • Park, Se-Hie
    • 대한수학회지
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    • 제37권6호
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    • pp.885-899
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    • 2000
  • We obtain generalized versions of the Fan-Browder fixed point theorem for G-convex spaces. We define the class B of better admissible multimaps on G-convex spaces and show that any closed compact map in b fro ma locally G-convex uniform space into itself has a fixed point.

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GEOMETRY OF GENERALIZED BERGER-TYPE DEFORMED METRIC ON B-MANIFOLD

  • Abderrahim Zagane
    • 대한수학회논문집
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    • 제38권4호
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    • pp.1281-1298
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    • 2023
  • Let (M2m, 𝜑, g) be a B-manifold. In this paper, we introduce a new class of metric on (M2m, 𝜑, g), obtained by a non-conformal deformation of the metric g, called a generalized Berger-type deformed metric. First we investigate the Levi-Civita connection of this metric. Secondly we characterize the Riemannian curvature, the sectional curvature and the scalar curvature. Finally, we study the proper biharmonicity of the identity map and of a curve on M with respect to a generalized Berger-type deformed metric.

환경정보체계의 효과적 이용에 관한 고찰 - 원자료의 정확성을 중심으로 - (A study on the Effective Use of Environmental Information System - focused on the accuracy of raw data -)

  • 이규석
    • 환경영향평가
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    • 제7권2호
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    • pp.27-35
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    • 1998
  • In Korea, the initial installation of GIS requires lots of cost, time, and human efforts. If the accuracy of GIS data does not meet the certain standard for use, the system may not work as expected. So, it needs to be investigated for the accuracy of raw data. However, there is little study for the accuracy of raw data in Korea. Therefore, the purpose of this study is to review the data accuracy of raw data - geologic map, 1:5,000 and 1:25,000 scale topographic map, forest stand map, degree of green naturality(DGN) map, and detailed survey data of DGN map-, which are to be used in Environmental Information System(EIS) in Korea. After this study, some errors in data were surveyed and following conclusions were derived. (1) There is no map data, e. g, wildlife habitat map. (2) Some data are misinterpreted depending on the location in the geologic map. (3) Some data are not updated properly after change of topography in the topographic map or the elevation and location is different depending on the scale.. (4) Some data are not edited properly in the forest stand map, e. g. two attributes in one polygon. (5) DGN classification system does not reflect the characteristic of Korean vegetation community. So, it needs to be refined and restructured.

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Assessing the Health Benefits of the Seoul Air Quality Management Plan Using BenMAP

  • Park, Jeong-Im;Bae, Hyun-Joo
    • 한국환경보건학회지
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    • 제32권6호
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    • pp.571-577
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    • 2006
  • Health benefits from implementing air quality control measures were assessed using the Environmental Benefits Mapping and Analysis Program (BenMAP). BenMAP developed by US EPA is a GIS-based software tool that estimates the health impacts and associated economic values connected with changes in ambient air pollution. Once a set of BenMAP-required data was collected, the health benefits from implementing Seoul Air Quality Management Plan (SAQMP), an official AQ improvement plan for Seoul Metropolitan Area, was assessed using BenMAP. The PM10 concentrations assuming the SAQMP implemented successfully were predicted with the MM5 (Mesoscale Meteorological model version 5)/CMAQ (Community Multiscale Air Quality) model. A PM 10 exposure related premature mortality function was adopted trom a well-known epidemiology study. Economic valuation functions driven from benefit transfer methods were utilized. Through the SAQMP, PM10 concentrations were estimated to be lowered by $15{\mu}g/m^3\;to\;75{\mu}g/m^3$ depending on air quality modeling grids. 5,569 premature deaths (95% CI $3,264{\sim}7,809$ deaths) could be avoided in the Seoul Metropolitan Area. The economic value of the deaths avoided was estimated to $13.2 billion $(95%\;CI\;$890\;million{\sim}$28.2\;billion)$ using the benefit transfer value. BenMAP could be a useful tool for developing effective air quality improvement policy, enabling the policy makers to anticipate the effects of regulatory changes on people's health and the economy.