• 제목/요약/키워드: Invariant reaction

검색결과 10건 처리시간 0.023초

DNA and the SU(3) Invariant of Knots and Links

  • Jeong, Myeong-Ju;Hong, Dae Gy
    • Kyungpook Mathematical Journal
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    • 제53권3호
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    • pp.385-395
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    • 2013
  • To analyze the enzyme reaction on DNA knots and links, we study tangle embedding and the number of reaction. By using the quantum SU(3) invariant of knots and links we get a necessary condition for a tangle to be embedded in a knot or link. Moreover we give a relationship between the number of reactions and the changes of the value of quantum SU(3) invariant for the corresponding knots and links in a processive recombination.

A STUDY ON INVARIANT REGIONS, EXISTENCE AND UNIQUENESS OF THE GLOBAL SOLUTION FOR TRIDIAGONAL REACTION-DIFFUSION SYSTEMS

  • IQBAL M. BATIHA;NABILA BARROUK;ADEL OUANNAS;ABDULKARIM FARAH
    • Journal of applied mathematics & informatics
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    • 제41권4호
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    • pp.893-906
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    • 2023
  • In this article, we are devoted to study the problem of the existence, uniqueness and positivity of the global solutions of the 3 × 3 reaction-diffusion systems with the total mass of the components with time. We also suppose that the nonlinear reaction term has a critical growth with respect to the gradient. The technique that we used to prove the global existence is the method of the compact semigroup.

A SIMPLE CHARACTERIZATION OF POSITIVITY PRESERVING SEMI-LINEAR PARABOLIC SYSTEMS

  • Haraux, Alain
    • 대한수학회지
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    • 제54권6호
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    • pp.1817-1828
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    • 2017
  • We give a simple and direct proof of the characterization of positivity preserving semi-flows for ordinary differential systems. The same method provides an abstract result on a class of evolution systems containing reaction-diffusion systems in a bounded domain of ${\mathbb{R}}^n$ with either Neumann or Dirichlet homogeneous boundary conditions. The conditions are exactly the same with or without diffusion. A similar approach gives the optimal result for invariant rectangles in the case of Neumann conditions.

BaO-$TiO_2$계의 $TiO_2$-rich 조성 영역에서의 저온 상평형 (Low-temperature Phase Equilibria in $TiO_2$-rich Region of the System BaO-$TiO_2$)

  • 박정호;김호기
    • 한국세라믹학회지
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    • 제38권3호
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    • pp.245-250
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    • 2001
  • BaO-TiO$_2$계의 TiO$_2$-rich 조성영역에 대한 상평형 관계를 완전 고상 반응법을 통하여 재평가하였다. 출발 시료로는 이 계의 end-member인 BaO와 TiO$_2$(rutile)를 이용하였다. 각 시료들은 대기 중에서 800~120$0^{\circ}C$의 온도구간에서 선택적으로 열처리되었다. 열처리된 시편들은 상온까지 급냉 처리되었으며, 상 분석은 X-ray 회절 분석을 통하여 이루어졌다. 연구결과에서 BaTi$_2$O$_{5}$(1:2)상과 BaTi$_{5}$O$_{11}$(1:5)상이 저온에서의 고상 반응을 통해서도 쉽게 형성될 수 있음을 알 수 있었으며, 각 저온 상들의 불변 반응 온도를 열처리 온도에 따른 상 분석을 통하여 확인할 수 있었다.

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Solid-liquid phase equilibria on the GdBa2Cu3O7-δ stability phase diagram in low oxygen pressures (1 - 100 mTorr)

  • Lee, J.W.;Lee, J.H.;Moon, S.H.;Yoo, S.I.
    • 한국초전도ㆍ저온공학회논문지
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    • 제14권4호
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    • pp.28-31
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    • 2012
  • We report the solid-liquid phase equilibria on the $GdBa_2Cu_3O_{7-{\delta}}$ (GdBCO) stability phase diagram in low oxygen pressures ($PO_2$) ranging from 1 to 100 mTorr. On the basis of the GdBCO stability phase diagram experimentally determined in low oxygen pressures, the isothermal sections of three different phase fields on log $PO_2$ vs. 1/T diagram were schematically constructed within the $Gd_2O_3-Ba_2CuO_y-Cu_2O$ ternary system, and the solid-liquid phase equilibria in each phase field were described. The invariant points on the phase boundaries include the following three reactions; a pseudobinary peritectic reaction of $GdBCO{\leftrightarrow}Gd_2O_3$ + liquid ($L_1$), a ternary peritectic reaction of $GdBCO{\leftrightarrow}Gd_2O_3+GdBa_6Cu_3O_y$ + liquid ($L_2$), and a monotectic reaction of $L_1{\leftrightarrow}GdBa_6Cu_3O_y+L_2$. A conspicuous feature of the solid-liquid phase equilibria in low $PO_2$ regime (1 - 100 mTorr) is that the GdBCO phase is decomposed into $Gd_2O_3+L_1$ or $Gd_2O_3+GdBa_6Cu_3O_y+L_2$ rather than $Gd_2BaCuO_5+L$ well-known in high $PO_2$ like air.

실란 바인더에 따른 탄소나노튜브 박막의 감습 특성 (Response Characteristics of CNT Thin Film on Humidity by Silane Binders)

  • 김성진;이호중
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2010년도 하계학술대회 논문집
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    • pp.196-196
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    • 2010
  • In this work, we deposited SWNTs/silane hybrid thin films by multiple spray-coating on glass substrate, and examined their electrical response for humidity. Generally silane binders which are often used in CNT solution to adhere CNTs to substrate well can be easily functionalized to each own group on the surface of CNTs after they are hardened by way of the hydrolysis reaction. We investigated how silane binders (TEOS,, MTMS and VTMS) in SWNTs hybrid thin films make effect to their electrical response on humidity. As the result, we observed that the resistance in the sample using TEOS was changed dramatically while it was almost invariant in the samples using MTMS and VTMS for increasing humidity.

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광산란 소멸법을 이용한 층류확산화염내에 매연입자의 크기 및 농도 측정 (Soot Size and Concentration Measurements in a Laminar Diffusion Flame Using a Lignt Scattering/Extinction Technique)

  • 하영철;김상수
    • 대한기계학회논문집
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    • 제16권9호
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    • pp.1796-1804
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    • 1992
  • 본 연구에서는 동심확산화염내에 생기는 매연 입자의 크기와 농도를 광산란 소멸법으로 보다 정확히 측정하여 궁극적 목적인 매연입자 제어의 기반을 조성하고자 한다.

실란 바인더에 의한 탄소나노튜브 박막의 감습 특성 변화 (The Variation of Response on Humidity in CNT Thin Film by Silane Binders)

  • 김성진
    • 한국전기전자재료학회논문지
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    • 제23권10호
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    • pp.782-787
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    • 2010
  • Recently the solution-based thin film technology has often been treated in the field of device fabrication owing to easy process and convenience for the development of various semiconductor devices and sensors. We deposited on glass substrate single-walled carbon nanotubes (SWNTs)/silane hybrid thin films by multiple spray-coating which is one of solution-based processes, and examined their electrical response for humidity. Generally silane binders which are often mixed in carbon nanotube (CNT) solution to adhere CNTs to substrate well form easily each own functionalized group on the surface of CNTs after they are hardened by way of the hydrolysis reaction. In this work, we investigated how silane binders (TEOS (tetraethoxy silane), MTMS (methyltrimethoxysilane) and VTMS (vinyltrimethoxysilane)) in CNT thin films make effect to their electrical response on humidity. As the result, we found that the resistance in the samples using TEOS was changed dramatically while it was almost invariant in the samples using MTMS and VTMS for increasing humidity.

Benzyl benzenesulfonate류의 구조-반응성 관계 (2보). 벤질 유도체의 친핵성 치환반응 (Structure-Reactivity Relationship of Benzyl benzenesulfonates (Part 2). Nucleophilic Substitution Reaction of Benzyl Derivatives)

  • 정덕영;김성홍;이명호;여수동;후지오 미즈에;츠노 유우호
    • 대한화학회지
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    • 제39권8호
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    • pp.643-649
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    • 1995
  • 35$^{\circ}C$와 50$^{\circ}C$ 에서 치환(Z)-benzyl계와 치환(Y)-pyridine 그리고 N, N-dimethylaniline의 Menschutkin형 반응을 아세토니트릴에서 전기전도도법으로 측정하였다. 유사 1차 반응속도상수와 친핵체의 농도로부터 2차반응 속도상수를 계산하였다. $4-CH_3-$보다 전자 받게 치환기를 가진 benzyl bromide는 정상 $S_N2$ (직접 치환 2분자)반응속도만 관찰되었으나 3, $4-(CH_3/O)_2$-benzyl bromide와 $4-CH_3O$-benzyl bromide의 경우 밀착 이온쌍 중간체를 거치는 2분자 반응의 속도도 관측되었다.

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리튬 2차 전지용 LiCo1-XMgxO2(x=0.03)의 결정구조, 전기전도도 및 전기화학적 특성 (Crystal Structures, Electrical Conductivities and Electrochemical Properties of LiCo1-XMgxO2(x=0.03) for Secondary Lithium Ion Batteries)

  • 김호진;정우창;정연욱;이준형;김정주
    • 한국세라믹학회지
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    • 제42권9호
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    • pp.602-606
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    • 2005
  • [ $LiCoO_{2}$ ] is the most common cathode electrode materials in Lithium-ion batteries. $LiCo_{0.97}Mg_{0.03}O_2$ was synthesized by the solid-state reaction method. We investigated crystal structures, electrical conductivities and electrochemical properties. The crystal structure of $LiCo_{0.97}Mg_{0.03}O_2$ was analyzed by X-ray powder diffraction and Rietveld refinement. The material showed a single phase of a layered structure with the space group R-3m. The lattice parameter(a, c) of $LiCo_{0.97}Mg_{0.03}O_2$ was larger than that of $LiCoO_2$. The electrical conductivity of sintered samples was measured by the Van der Pauw method. The electrical conductivities of $LiCoO_2$ and $LiCo_{0.97}Mg_{0.03}O_2$ were $2.11{\times}10^{-4}\;S/cm$ and $2.41{\times}10^{-1}\;S/cm$ at room temperature, respectively. On the basis of the Hall effect analysis, the increase in electrical conductivities of $LiCo_{0.97}Mg_{0.03}O_2$ is believed due to the increased carrier concentrations, while the carrier mobility was almost invariant. The electrochemical performance was investigated by coin cell test. $LiCo_{0.97}Mg_{0.03}O_2$ showed improved cycling performance as compared with $LiCoO_2$.