• 제목/요약/키워드: ${\psi}$-closure

검색결과 4건 처리시간 0.016초

THE αψ-CLOSURE AND THE αψ-KERNEL VIA αψ-OPEN SETS

  • Kim, Young Key;Ramaswamy, Devi
    • 충청수학회지
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    • 제23권1호
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    • pp.59-63
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    • 2010
  • In this paper, we introduce the concept of weakly-ultra-${\alpha}{\psi}$-separation of two sets in a topological space using ${\alpha}{\psi}$-open sets. The ${\alpha}{\psi}$-closure and the ${\alpha}{\psi}$-kernel are defined in terms of this weakly ultra-${\alpha}{\psi}$-separation. We also investigate some of the properties of the ${\alpha}{\psi}$-kernel and the ${\alpha}{\psi}$-closure.

A Unified Theory for Certain Weak Forms of Open Sets and Their Variant Forms

  • Roy, Bishwambhar;Seny, Ritu
    • Kyungpook Mathematical Journal
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    • 제52권4호
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    • pp.405-412
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    • 2012
  • The purpose of the present paper is towards working out a unified version of the study of certain weak forms of generalized open sets and their neighbouring forms, as are already available in the literature. In terms of an operation, as initiated by $\acute{A}$. Cs$\acute{a}$sz$\acute{a}$r, we introduce unified definitions of ${\wedge}_{\psi}$-sets, ${\vee}_{\psi}$-sets, $g{\cdot}{\wedge}_{\psi}$-sets and $g{\cdot}{\vee}_{\psi}$-sets and derive results concerning them.

Salicylic acid가 닭의장풀의 광합성에 미치는 영향 (The Effect of Salicylic Acid (SA) on the Photosynthetic Activity in Commelina communis L.)

  • 이준상
    • 환경생물
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    • 제17권3호
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    • pp.359-364
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    • 1999
  • 살리실릭산(SA)이 닭의장풀의 잎의 생장, 엽록소 함량, 광합성능, 기공전도도에 미치는 영향을 조사하였다. Hoagland 용액에 SA를 처리한 후 3주 동안 배양한 닭의장풀은 잎의 길이, 너비, 면적이 크게 감소하였다. 1 mM SA를 1, 2주 처리 시에 엽면적 생장이 약 10%억제되었으며, 3주 째에는 22%억제하였다. SA는 또한 2주 째는 47%그리고 3주 째는 53%엽록소 함량을 감소시켰다. SA를 처리한 샘플의 엽록소 a/b는 3주 째에 약 3으로 크게 증가하였다. SA를 분리 엽록체에 직접 처리하여 전자전달활성을 직접 측정하였다. PSII+PSI, PSII 그리고 PSI활성에 SA가 영향을 주지 않았다. 이는 SA가 직접 광합성 기작에는 영향을 주지 않는 다는 것을 나타낸다. 그러나, SA를 오랜 기간 처리하면 광합성의 감소는 매우 뚜렷하게 관찰되었다. Hoagland 용액에 SA를 처리한 후 3주 동안 배양한 닭의장풀에 다양한 빛 광도(100~1000$\mu$mo1 m­$^2$$^1$)를 조사하면 약 23~65%의 광합성능의 저하가 나타났다. 기공전도도가 유사한 반응을 보여주었다. SA처리구의 기공은 거의 닫혔다. 여러 광조건에서 기공전도도가 같다는 것은 SA가 기공의 조절 기능을 상실하게 한 것으로 보여진다. 이들 결과들로부터 광합성능에 대한 SA의 효과는 SA자체에 의한 것이 아니라 간접적인 대사 경로를 통해 매개되는 것으로 추측된다.

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MULTI-SCALE MODELING AND ANALYSIS OF CONVECTIVE BOILING: TOWARDS THE PREDICTION OF CHF IN ROD BUNDLES

  • Niceno, B.;Sato, Y.;Badillo, A.;Andreani, M.
    • Nuclear Engineering and Technology
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    • 제42권6호
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    • pp.620-635
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    • 2010
  • In this paper we describe current activities on the project Multi-Scale Modeling and Analysis of convective boiling (MSMA), conducted jointly by the Paul Scherrer Institute (PSI) and the Swiss Nuclear Utilities (Swissnuclear). The long-term aim of the MSMA project is to formulate improved closure laws for Computational Fluid Dynamics (CFD) simulations for prediction of convective boiling and eventually of the Critical Heat Flux (CHF). As boiling is controlled by the competition of numerous phenomena at various length and time scales, a multi-scale approach is employed to tackle the problem at different scales. In the MSMA project, the scales on which we focus range from the CFD scale (macro-scale), bubble size scale (meso-scale), liquid micro-layer and triple interline scale (micro-scale), and molecular scale (nano-scale). The current focus of the project is on micro- and meso-scales modeling. The numerical framework comprises a highly efficient, parallel DNS solver, the PSI-BOIL code. The code has incorporated an Immersed Boundary Method (IBM) to tackle complex geometries. For simulation of meso-scales (bubbles), we use the Constrained Interpolation Profile method: Conservative Semi-Lagrangian $2^{nd}$ order (CIP-CSL2). The phase change is described either by applying conventional jump conditions at the interface, or by using the Phase Field (PF) approach. In this work, we present selected results for flows in complex geometry using the IBM, selected bubbly flow simulations using the CIP-CSL2 method and results for phase change using the PF approach. In the subsequent stage of the project, the importance of effects of nano-scale processes on the global boiling heat transfer will be evaluated. To validate the models, more experimental information will be needed in the future, so it is expected that the MSMA project will become the seed for a long-term, combined theoretical and experimental program.