• Title/Summary/Keyword: alpha-dual

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A study on the grain growth mechanism in dual-phase high Cr-steel (고크롬 (α+γ) 2상강의 결정립 성장기구)

  • Wey, Myeong-Yong
    • Journal of the Korean Society for Heat Treatment
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    • v.11 no.4
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    • pp.324-332
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    • 1998
  • The grain growth characteristics of dual-phase (${\alpha}+{\gamma}$) containing high Cr-steel have investigate using ${\alpha}$-, ${\gamma}$-single phases and (${\alpha}+{\gamma}$)dual-phase of 12%Cr Steel. The heat treatment has performed at $1000-1200^{\circ}C$ for 1-100hr. The results are as follows : 1) The grain growth rate in (${\alpha}+{\gamma}$) dual phase was substantially slower than that of single grain. 2) The relation between mean grain radius $\bar{{\gamma}}$ and annealing time t is, in general, described as following equation : $$(\bar{{\gamma}})^n-(\bar{{\gamma}_o})^n=K_n{\cdot}t{\cdots}{\cdots}(1)$$ i) In the case of single phase of high Cr steel, Eq.(1) is described as $(\bar{{\gamma}})^2-(\bar{{\gamma}_o})^2=K_2{\cdot}t$ and the grain growth is controlled by boundary migration. ii) In dual phase, the grain growth needs diffusion of alloying elements because the chemical composition of ${\alpha}$- and ${\gamma}$- phases differs from each other. When the volume fraction of ${\alpha}$-, ${\gamma}$-phase was almost equal and ${\gamma}$-phase in the case of 80 and $90%{\gamma}$. Eq.(1) is described as $(\bar{{\gamma}})^3-(\bar{{\gamma}_o})^3=K_3{\cdot}t$ because the grain growth is controlled by volume diffusion iii) In the case of ${\gamma}$-rich phase (80 and $90%{\gamma}$), the grain growth of minor phase (10 and $20%{\alpha}$) is described as $(\bar{{\gamma}})^4-(\bar{{\gamma}_o})^4=K_4{\cdot}t$ because the boundary diffusion is predominent rather than volume diffusion.

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Department of Mathematics, Dongeui University

  • Yoon, Suk-Bong
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.527-541
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    • 2001
  • We find the necessary and sufficient conditions for the smash product algebra structure and the crossed coproduct coalgebra structure with th dual cocycle $\alpha$ to afford a Hopf algebra (A equation,※See Full-text). If B and H are finite algebra and Hopf algebra, respectively, then the linear dual (※See Full-text) is also a Hopf algebra. We show that the weak coaction admissible mapping system characterizes the new Hopf algebras (※See Full-text).

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Design and Synthesis of Oxime Ethers of β-Oxo-γ-phenylbutanoic Acids as PPAR α and -γ Dual Agonists

  • Han, Hee-Oon;Koh, Jong-Sung;Kim, Seung-Hae;Park, Ok-Ku;Kim, Kyoung-Hee;Jeon, Sang-Kweon;Hur, Gwong-Cheung;Yim, Hyeon-Joo;Kim, Geun-Tae
    • Bulletin of the Korean Chemical Society
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    • v.33 no.6
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    • pp.1979-1982
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    • 2012
  • Oxime ethers of ${\beta}$-oxo-${\gamma}$-phenylbutanoic acids were prepared to develop more effective PPAR ${\alpha}$ and ${\gamma}$ dual agonists. Among them, compound 11k exhibited potent $in$ $vitro$ activities with $EC_{50}$ of 2.5 nM and 3.3 nM in PPAR ${\alpha}$ and ${\gamma}$, respectively. It showed better glucose lowering effects than rosiglitazone 1 and improved the lipid profile like plasma triglyceride in db/db mice model.

SECOND ORDER NONSMOOTH MULTIOBJECTIVE FRACTIONAL PROGRAMMING PROBLEM INVOLVING SUPPORT FUNCTIONS

  • Kharbanda, Pallavi;Agarwal, Divya;Sinha, Deepa
    • Journal of applied mathematics & informatics
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    • v.31 no.5_6
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    • pp.835-852
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    • 2013
  • In this paper, we have considered a class of constrained non-smooth multiobjective fractional programming problem involving support functions under generalized convexity. Also, second order Mond Weir type dual and Schaible type dual are discussed and various weak, strong and strict converse duality results are derived under generalized class of second order (F, ${\alpha}$, ${\rho}$, $d$)-V-type I functions. Also, we have illustrated through non-trivial examples that class of second order (F, ${\alpha}$, ${\rho}$, $d$)-V-type I functions extends the definitions of generalized convexity appeared in the literature.

Development of ZnS(Ag)/plastic dual scintillator sheet for simultaneous alpha- and beta-ray counting (알파 및 베타선 동시측정용 ZnS(Ag)/플라스틱 이중섬광체 검출센서 개발)

  • Seo, Bum-Kyoung;Woo, Zu-Hee;Kim, Gye-Hong;Lee, Kune-Woo;Lee, Dong-Gyu;jung, Chong-Hun
    • Analytical Science and Technology
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    • v.21 no.2
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    • pp.117-122
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    • 2008
  • Dual scintillator for simultaneous alpha- and beta-ray counting used by detection materials of a surface contamination monitor was developed. In this study, preparation method was not a heat melting method but a solvent method, by which the counting material was manufactured by dissolving the polymer materials with solvent. It was simplified the preparation process. Plastic scintillator for beta-ray counting was prepared by solidifying the casting solution mixed with organic scintillator, polymer, and solvent. ZnS(Ag) scintillator layer was prepared by screen printing the paste solution mixed with ZnS(Ag), paste, and solvent onto the plastic layer. The good counting ability for alpha- and beta-ray using the ZnS(Ag)/plastic dual scintillator prepared and possibility for the counting material of surface contamination monitor was confirmed.

Promyelocytic Leukemia Gene Functions and Roles in Tumorigenesis

  • Imani-Saber, Zeinab;Ghafouri-Fard, Soudeh
    • Asian Pacific Journal of Cancer Prevention
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    • v.15 no.19
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    • pp.8019-8026
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    • 2014
  • The promyelocytic leukemia (PML) gene is a gene known to be a tumor suppressor, although recent data suggest that it has a dual function in tumorigenesis. It was initially discovered in acute promyelocytic leukemia (APL) in which a t(15; 17) chromosomal translocation fused it to the retinoic acid receptor alpha ($RAR{\alpha}$). It has been shown to be involved in various types of cancer. It has at least 6 nuclear isoforms and a cytoplasmic type with different characteristics. Its multiple functions in growth inhibition, apoptosis induction, replicative senescence, inhibition of oncogenic transformation, and suppression of migration and angiogenesis have made it a therapeutic target for cancer therapy. However, its dual role in the process of tumorigenesis has made this field challenging. In this review, we discuss PML structure, functions and expression in tumors.

On Some Spaces Isomorphic to the Space of Absolutely q-summable Double Sequences

  • Capan, Husamettin;Basar, Feyzi
    • Kyungpook Mathematical Journal
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    • v.58 no.2
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    • pp.271-289
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    • 2018
  • Let 0 < q < ${\infty}$. In this study, we introduce the spaces ${\mathcal{BV}}_q$ and ${\mathcal{LS}}_q$ of q-bounded variation double sequences and q-summable double series as the domain of four-dimensional backward difference matrix ${\Delta}$ and summation matrix S in the space ${\mathcal{L}}_q$ of absolutely q-summable double sequences, respectively. Also, we determine their ${\alpha}$- and ${\beta}-duals$ and give the characterizations of some classes of four-dimensional matrix transformations in the case 0 < q ${\leq}$ 1.

A NUMBER SYSTEM IN ℝn

  • Jeong, Eui-Chai
    • Journal of the Korean Mathematical Society
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    • v.41 no.6
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    • pp.945-955
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    • 2004
  • In this paper, we establish a number system in $R^n$ which arises from a Haar wavelet basis in connection with decompositions of certain Cuntz algebra representations on $L^2$( $R^n$). Number systems in $R^n$ are also of independent interest [9]. We study radix-representations of $\chi$ $\in$ $R^n$: $\chi$:$\alpha$$_{ι}$ $\alpha$$_{ι-1}$$\alpha$$_1$$\alpha$$_{0}$$\alpha$$_{-1}$ $\alpha$$_{-2}$ … as $\chi$= $M^{ι}$$\alpha$$_{ι}$ $\alpha$+…M$\alpha$$_1$$\alpha$$_{0}$$M^{-1}$ $\alpha$$_{-1}$$M^{-2}$ $\alpha$$_{-2}$ +… where each $\alpha$$_{k}$ $\in$ D, and D is some specified digit set. Our analysis uses iteration techniques of a number-theoretic flavor. The view-point is a dual one which we term fractals in the large vs. fractals in the small,illustrating the number theory of integral lattice points vs. fractions.s vs. fractions.

The Effects of Mn and Cr Additions on the Microstructure of A356 Alloys Containing Impure Fe (불순 Fe를 함유한 A356 주조합금에서 미세조직 형성에 관한 Mn과 Cr의 효과)

  • Han, Sang-Won
    • Journal of Korea Foundry Society
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    • v.25 no.3
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    • pp.128-133
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    • 2005
  • The effects of Mn and Cr on the crystallization behaviors of Fe-bearing intennetallics in A356 alloy were studied. Coarse and acicular ${\beta}-Al_{5}$FeSi phase in A356-0.20wt.%Fe alloy was modified into small ${\alpha}$-Al(Fe,Mn)Si and ${\alpha}$-Al(Fe,Cr)Si phases in response to Mn and Cr addition, respectively. Increasing of Mn addition amount elevates the crystallizing temperature of ${\alpha}$-Al(Fe,Mn)Si and the Mn/Fe ratio in the ${\alpha}$-Al(Fe,Mn)Si. Cr is more effective to modify ${\beta}-Al_{5}$FeSi in comparison with Mn. ${\alpha}$-Al(Fe,Mn)Si phase had BCC/SC dual structure.