• Title/Summary/Keyword: 1D1R

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ON (${\sigma},\;{\tau}$)-DERIVATIONS OF PRIME RINGS

  • Kaya K.;Guven E.;Soyturk M.
    • The Pure and Applied Mathematics
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    • v.13 no.3 s.33
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    • pp.189-195
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    • 2006
  • Let R be a prime ring with characteristics not 2 and ${\sigma},\;{\tau},\;{\alpha},\;{\beta}$ be auto-morphisms of R. Suppose that $d_1$ is a (${\sigma},\;{\tau}$)-derivation and $d_2$ is a (${\alpha},\;{\beta}$)-derivation on R such that $d_{2}{\alpha}\;=\;{\alpha}d_2,\;d_2{\beta}\;=\;{\beta}d_2$. In this note it is shown that; (1) If $d_1d_2$(R) = 0 then $d_1$ = 0 or $d_2$ = 0. (2) If [$d_1(R),d_2(R)$] = 0 then R is commutative. (3) If($d_1(R),d_2(R)$) = 0 then R is commutative. (4) If $[d_1(R),d_2(R)]_{\sigma,\tau}$ = 0 then R is commutative.

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SYMMETRIC BI-DERIVATIONS IN PRIME RINGS

  • Jung, Yong-Soo
    • Journal of applied mathematics & informatics
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    • v.5 no.3
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    • pp.819-826
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    • 1998
  • The purpose of this paper is to prove the following results; (1) Let R be a prime ring of char $(R)\neq 2$ and I a nonzero left ideal of R. The existence of a nonzero symmetric bi-derivation D : $R\timesR\;\longrightarrow\;$ such that d is sew-commuting on I where d is the trace of D forces R to be commutative (2) Let m and n be integers with $m\;\neq\;0.\;or\;n\neq\;0$. Let R be a noncommutative prime ring of char$ (R))\neq \; 2-1\; p_1 \;n_1$ where p is a prime number which is a divisor of m, and I a nonzero two-sided ideal of R. Let $D_1$ ; $R\;\times\;R\;\longrightarrow\;and\;$ $D_2\;:\;R\;\times\;R\;longrightarrow\;R$ be symmetric bi-derivations. Suppose further that there exists a symmetric bi-additive mapping B ; $R\;\times\;R\;\longrightarrow\;and\;$ such that $md_1(\chi)\chi + n\chi d_2(\chi)=f(\chi$) holds for all $\chi$$\in$I, where $d_1 \;and\; d_2$ are the traces of $D_1 \;and\; D_2$ respectively and f is the trace of B. Then we have $D_1=0 \;and\; D_2=0$.

5.0 inch WVGA Top Emission AMOLED Display for PDA

  • Lee, Kwan-Hee;Ryu, Seoung-Yoon;Park, Sang-Il;Ryu, Do-Hyung;Kim, Hun;Song, Seung-Yong;Chung, Bo-Yong;Park, Yong-Sung;Kang, Tae-Wook;Kim, Sang-Chul;Cho, Yu-Sung;Park, Jin-Woo;Kwon, Jang-Hyuk;Chung, Ho-Kyoon
    • 한국정보디스플레이학회:학술대회논문집
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    • 2003.07a
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    • pp.7-10
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    • 2003
  • Samsung SDI has developed a full color 5.0" WVGA AMOLED display with top emission and a super fine pitch of 0.1365mm(l86ppi), the world's highest resolution OLED display ever reported to date. Scan driver circuits and demux circuit were integrated into the display panel, using low temperature poly-Si TFT CMOS technology, and data driver circuit were mounted using COG chips. Peak luminescence was greater than 300cd/ $m^2$ with power consumption of 500mW with 30% of the pixels on illuminated.

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BANACH FUNCTION ALGEBRAS OF n-TIMES CONTINUOUSLY DIFFERENTIABLE FUNCTIONS ON Rd VANISHING AT INFINITY AND THEIR BSE-EXTENSIONS

  • Inoue, Jyunji;Takahasi, Sin-Ei
    • Journal of the Korean Mathematical Society
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    • v.56 no.5
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    • pp.1333-1354
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    • 2019
  • In authors' paper in 2007, it was shown that the BSE-extension of $C^1_0(R)$, the algebra of continuously differentiable functions f on the real number space R such that f and df /dx vanish at infinity, is the Lipschitz algebra $Lip_1(R)$. This paper extends this result to the case of $C^n_0(R^d)$ and $C^{n-1,1}_b(R^d)$, where n and d represent arbitrary natural numbers. Here $C^n_0(R^d)$ is the space of all n-times continuously differentiable functions f on $R^d$ whose k-times derivatives are vanishing at infinity for k = 0, ${\cdots}$, n, and $C^{n-1,1}_b(R^d)$ is the space of all (n - 1)-times continuously differentiable functions on $R^d$ whose k-times derivatives are bounded for k = 0, ${\cdots}$, n - 1, and (n - 1)-times derivatives are Lipschitz. As a byproduct of our investigation we obtain an important result that $C^{n-1,1}_b(R^d)$ has a predual.

Role of Helix 8 in Dopamine Receptor Signaling

  • Yang, Han-Sol;Sun, Ningning;Zhao, Xiaodi;Kim, Hee Ryung;Park, Hyun-Ju;Kim, Kyeong-Man;Chung, Ka Young
    • Biomolecules & Therapeutics
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    • v.27 no.6
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    • pp.514-521
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    • 2019
  • G protein-coupled receptors (GPCRs) are membrane receptors whose agonist-induced dynamic conformational changes trigger heterotrimeric G protein activation, followed by GRK-mediated phosphorylation and arrestin-mediated desensitization. Cytosolic regions of GPCRs have been studied extensively because they are direct contact sites with G proteins, GRKs, and arrestins. Among various cytosolic regions, the role of helix 8 is least understood, although a few studies have suggested that it is involved in G protein activation, receptor localization, and/or internalization. In the present study, we investigated the role of helix 8 in dopamine receptor signaling focusing on dopamine D1 receptor (D1R) and dopamine D2 receptor (D2R). D1R couples exclusively to Gs, whereas D2R couples exclusively to Gi. Bioinformatic analysis implied that the sequences of helix 8 may affect GPCR-G protein coupling selectivity; therefore, we evaluated if swapping helix 8 between D1R and D2R changed G protein selectivity. Our results suggest that helix 8 is not involved in D1R-Gs or D2R-Gi coupling selectivity. Instead, we observed that D1R with D2R helix 8 or D1R with an increased number of hydrophobic residues in helix 8 relative to wild-type showed diminished ${\beta}$-arrestin-mediated desensitization, resulting in increased Gs signaling.

Chromosome Studies on Several Wild Sepcies of Drosophilidae (야생 초파리 수종의 염색체에 관한 연구)

  • 강영선;김영진;방규환
    • The Korean Journal of Zoology
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    • v.7 no.2
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    • pp.13-18
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    • 1964
  • The chromosomes of thirteen wild forms of Drosophila obtained from Kwangnung in Kyunggi Province, Korea were investigated with the ganglion cells of both male and female larvae using the aceto-lactic orcein squashed method. The male chromosome patterns of the species observed in the present study are summarized as follows:

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High Performance 2.2 inch Full-Color AMOLED Display for Mobile Phone

  • Kim, H.K.;Suh, M.S.;Lee, K.S.;Eum, G.M.;Chung, J.T.;Oh, C.Y.;Kim, B.H.;Chung, H.K.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2002.08a
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    • pp.325-328
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    • 2002
  • We developed a high performance 2.2" active matrix OLED display for IMT-2000 mobile phone. Scan and Data driver circuits were integrated on the glass substrate, using low temperature poly-Si(LTPS) TFT CMOS technology. High efficiency EL materials were employed to the panel for low power consumption. Peak luminescence of the panel was higher than 250cd/$m^2$ with power consumption of 200mW.

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The Inhibitory Effect of New Hydroxamic Acid Derivatives on Melanogenesis

  • Baek, Heung-Soo;Rho, Ho-Sik;Yoo, Jae-Won;Ahn, Soo-Mi;Lee, Jin-Young;Lee, Jeong-A;Kim, Min-Kee;Kim, Duck-Hee;Chang, Ih-Seop
    • Bulletin of the Korean Chemical Society
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    • v.29 no.1
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    • pp.43-46
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    • 2008
  • The aim of present study was to examine the inhibitory effects of hydroxamic acid derivatives on the melanogenesis. We found that hydroxamic acid moiety was important for anti-melanogenic activity. Compounds 1a and 1b strongly inhibited melanin synthesis via deactivation of tyrosinase. Hydroxamic acid has metal ion chelating ability which is similar to that kojic acid, however, anti-tyrosinase mechanism of compounds 1a and 1b was different from that of kojic acid. They showed noncompetitive inhibition kinetics

Studies on Tolerance of Mice to X-rays (X-선에 대한 마우스의 내력)

  • 김정진
    • The Korean Journal of Zoology
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    • v.6 no.2
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    • pp.11-15
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    • 1963
  • A total of 220 adult male mice (18-20g) of the S.M. strain were divided into ten experimental and control groups. The total-body X-ray irradiation doses used were 50 r, 100r, 200r, 400r, 600r, 800r, 1,000r, 1,200r, 1,400r, and1,600r. The respiratory arrest (mortality) caused by each irradiation doses were observed for 30 days. Relationships between irradiation doses and survival time and percentage of response were examined. From this experiment, a formula was obtained to express the relationship among three factors, which may be presented as follows : {{{{{{{{P= { 10} over { SQRT { 2 pi } } INT _{ - INF }^{ p'} e-{(p'-50)^2 } over {200 }dp···(a) p'=100 LEFT { t^0.3- LEFT ( { { 16.9965} over {D-60 } } RIGHT ) ^{ { 1} over {2.5 } } } / LEFT { LEFT ( { 26372.43} over {D-81.86 } RIGHT ) ^{ { 1} over {2.5 } } -( { { 16.9965} over {D-60 } } RIGHT ) ^{ { 1} over {2.5 } } ···(b) p= { (D-60) t^0.75-16.9965} over {0.2186 t^0.75 +263.55434 }····(c) }} {{{{P= { 10} over { SQRT { 2 pi } } INT _{ - INF }^{ p'} e-{(p'-50)^2 } over {200 }dp···(a) p'=100 LEFT { t^0.3- LEFT ( { { 16.9965} over {D-60 } } RIGHT ) ^{ { 1} over {2.5 } } } / LEFT { LEFT ( { 26372.43} over {D-81.86 } RIGHT ) ^{ { 1} over {2.5 } } -( { { 16.9965} over {D-60 } } RIGHT ) ^{ { 1} over {2.5 } } ···(b) p= { (D-60) t^0.75-16.9965} over {0.2186 t^0.75 +263.55434 }····(c)

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