• Title/Summary/Keyword: J-R

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RECURRENCE RELATIONS FOR QUOTIENT MOMENTS OF THE EXPONENTIAL DISTRIBUTION BY RECORD VALUES

  • LEE, MIN-YOUNG;CHANG, SE-KYUNG
    • Honam Mathematical Journal
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    • v.26 no.4
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    • pp.463-469
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    • 2004
  • In this paper we establish some recurrence relations satisfied by quotient moments of upper record values from the exponential distribution. Let $\{X_n,\;n{\geq}1\}$ be a sequence of independent and identically distributed random variables with a common continuous distribution function F(x) and probability density function(pdf) f(x). Let $Y_n=max\{X_1,\;X_2,\;{\cdots},\;X_n\}$ for $n{\geq}1$. We say $X_j$ is an upper record value of $\{X_n,\;n{\geq}1\}$, if $Y_j>Y_{j-1}$, j > 1. The indices at which the upper record values occur are given by the record times {u(n)}, $n{\geq}1$, where u(n)=min\{j{\mid}j>u(n-1),\;X_j>X_{u(n-1)},\;n{\geq}2\} and u(1) = 1. Suppose $X{\in}Exp(1)$. Then $\Large{E\;\left.{\frac{X^r_{u(m)}}{X^{s+1}_{u(n)}}}\right)=\frac{1}{s}E\;\left.{\frac{X^r_{u(m)}}{X^s_{u(n-1)}}}\right)-\frac{1}{s}E\;\left.{\frac{X^r_{u(m)}}{X^s_{u(n)}}}\right)}$ and $\Large{E\;\left.{\frac{X^{r+1}_{u(m)}}{X^s_{u(n)}}}\right)=\frac{1}{(r+2)}E\;\left.{\frac{X^{r+2}_{u(m)}}{X^s_{u(n-1)}}}\right)-\frac{1}{(r+2)}E\;\left.{\frac{X^{r+2}_{u(m-1)}}{X^s_{u(n-1)}}}\right)}$.

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Evaluation by modified offset method on J-R curve with negative crack growth (부균열을 가진 J-R곡선의 수정옾셋방법에 의한 평가)

  • 안광주;최재강
    • Journal of the Korean Society of Safety
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    • v.12 no.3
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    • pp.45-51
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    • 1997
  • To evaluate the elastic-plastic fracture toughness by this modified offset method, the origin of J-R curve is set with drawing the blunting line on the maximum point of the negative crack growth and R curve is modified by adding the blunting factor of the experimented point on the R curve. The elastic-plastic fracture toughness $J_{IC]$ of A5083-H112 material by the modified offset method we 44kN/m on the smooth CT specimens.

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Evaluation on J-R Curve of 5083 aluminum Alloy Weldment by Load Ratio analysis (Load Ratio 해석에 의한 Al 5083 알루미늄합금 용접부의 J-R곡선 평가)

  • 윤한기;김연겸;우대호
    • Proceedings of the KWS Conference
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    • 1997.05a
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    • pp.91-98
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    • 1997
  • This research is to evaluate of the J-R curve characteristic in 5083 aluminum alloy weldment by utilizing the load ratio analysis. This analysis method can be evaluated the J-R curve only with load-displacement curve without any particular precision instrument equipment in CT specimen. For validity, the results of the load ratio analysis are compared with the those of the J-R curve, which are obtained by the ASTM standard unloading compliance method. The calculated crack length of the load ratio analysis is well appropriate that the measured final crack length. And the J-R curve slope estimated by the load ratio analysis is slightly smaller than that by the ASTM unloading compliance method.

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4.1” Transparent QCIF AMOLED Display Driven by High Mobility Bottom Gate a-IGZO Thin-film Transistors

  • Jeong, J.K.;Kim, M.;Jeong, J.H.;Lee, H.J.;Ahn, T.K.;Shin, H.S.;Kang, K.Y.;Park, J.S.;Yang, H,;Chung, H.J.;Mo, Y.G.;Kim, H.D.;Seo, H.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2007.08a
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    • pp.145-148
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    • 2007
  • The authors report on the fabrication of thin film transistors (TFTs) that use amorphous indium-gallium-zinc oxide (a-IGZO) channel and have the channel length (L) and width (W) patterned by dry etching. To prevent the plasma damage of active channel, a 100-nm-thckness $SiO_{x}$ by PECVD was adopted as an etch-stopper structure. IGZO TFT (W/L=10/50${\mu}m$) fabricated on glass exhibited the high performance mobility of $35.8\;cm^2/Vs$, a subthreshold gate voltage swing of $0.59V/dec$, and $I_{on/off}$ of $4.9{\times}10^6$. In addition, 4.1” transparent QCIF active-matrix organic light-emitting diode display were successfully fabricated, which was driven by a-IGZO TFTs.

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Effect of electrical aging on emission stability of carbon nanotube paste

  • Park, J.H.;Moon, J.S.;Jeong, J.S.;Yoo, J.B.;Park, C.Y.;Moon, H.S.;Nam, J.W.;Kim, J.M.;Park, J.H.;Choe, D.H.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2005.07b
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    • pp.1466-1469
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    • 2005
  • We report effects of electrical aging on the emission stability of carbon nanotube (CNT) paste for low cost and high low-cost and large area field emission devices or displays. Photosensitive carbon nanotube paste was formulated by using of spin on glass (SOG) as an inorganic binder and investigated emission properties and stability depending on electrical aging condition.

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Revisit on Experimental Conditions in Determination of Stress Intensity Factor and the J-Integral Using the Methods of Caustics (응력확대계수와 J-적분 결정을 위한 코스틱스방법의 실험조건에 관한 연구)

  • 이억섭;조종두;홍성경
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.9
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    • pp.2331-2338
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    • 1994
  • Experimental conditions of the optical shadow methods of caustics for measurement of the stress intensity factor and the J-integral in various materials(polycarbonate, PMMA, Al 5586D) are investigated. The necessary experimental requirements toe determine accurate values of the stress intensity factors and the J-integrals are described. The ratio of $r_o$ (radius of initial curve) to $r_p$ (plastic zone size) is selected as a parameter to verify the experimental limitation of the method of caustics in determination of fracture parameters. In this study, transmission caustics method was used for compact tension specimens made of polycarbonate and PMMA. while reflection caustics method was applied to c-shaped tension specimen made of Al 5586D. The appropriate ranges of $r_o/r_p$ tp determine accurate values of stress intensity factors were found to be 1.5~1.8. Existing experimental results have been obtained mainly by changing $r_p$ with different loads in $r_o/r_p$. However, in this study we could obtain varying $K_{caus}/K_{th}$ over the wide range of $r_o/r_p$ at fixed load conditions with newly designed optical arrangement. Thus, we could find the range in which theoretical and experimental results agree well each other by changing $r_o$ values only. In Al 5586D specimen, experimental caustics were located inside of the plastic zone, and $K_{caus}/K_{th}$ were found to be not unity in this range. It is found that $J_{caus}/J_{th}=1{\;}with{\;}r_o/t{\geq}0.8$ and the experimental plastic zone includes the contours of caustics.

STUDY OF THE ANNIHILATOR IDEAL GRAPH OF A SEMICOMMUTATIVE RING

  • Alibemani, Abolfazl;Hashemi, Ebrahim
    • Communications of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.415-427
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    • 2019
  • Let R be an associative ring with nonzero identity. The annihilator ideal graph of R, denoted by ${\Gamma}_{Ann}(R)$, is a graph whose vertices are all nonzero proper left ideals and all nonzero proper right ideals of R, and two distinct vertices I and J are adjacent if $I{\cap}({\ell}_R(J){\cup}r_R(J)){\neq}0$ or $J{\cap}({\ell}_R(I){\cup}r_R(I)){\neq}0$, where ${\ell}_R(K)=\{b{\in}R|bK=0\}$ is the left annihilator of a nonempty subset $K{\subseteq}R$, and $r_R(K)=\{b{\in}R|Kb=0\}$ is the right annihilator of a nonempty subset $K{\subseteq}R$. In this paper, we assume that R is a semicommutative ring. We study the structure of ${\Gamma}_{Ann}(R)$. Also, we investigate the relations between the ring-theoretic properties of R and graph-theoretic properties of ${\Gamma}_{Ann}(R)$. Moreover, some combinatorial properties of ${\Gamma}_{Ann}(R)$, such as domination number and clique number, are studied.

Measurement and Application of J-R Curves of Cr-Mo Steel and Cr Steel (Cr-Mo 강과 Cr 강의 J-R곡선의 측정 및 응용)

  • Ahn, Seung-Gyun;Huh, Yong-Hak;Park, Jae-Hak
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.328-332
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    • 2000
  • Following the method described in ASTM E1737, J resistance curves are measured for Cr-Mo steel SA387, and Cr steel A240 which are used as piping materials in nuclear industry. Crack driving force diagrams are generated in order to find out instability points in crack growth. The $J_{appl}$ curves, which are used in the crack driving force diagram, are obtained from EPRI J estimation method and the finite element analysis. Crack growth instability points are plotted in load-crack length plane and the results are discussed.

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