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CHARACTERIZATIONS OF THE EXPONENTIAL DISTRIBUTION BY ORDER STATISTICS AND CONDITIONAL

  • Lee, Min-Young;Chang, Se-Kyung;Jung, Kap-Hun
    • Communications of the Korean Mathematical Society
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    • v.17 no.3
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    • pp.535-540
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    • 2002
  • Let X$_1$, X$_2$‥‥,X$\_$n/ be n independent and identically distributed random variables with continuous cumulative distribution function F(x). Let us rearrange the X's in the increasing order X$\_$1:n/ $\leq$ X$\_$2:n/ $\leq$ ‥‥ $\leq$ X$\_$n:n/. We call X$\_$k:n/ the k-th order statistic. Then X$\_$n:n/ - X$\_$n-1:n/ and X$\_$n-1:n/ are independent if and only if f(x) = 1-e(equation omitted) with some c > 0. And X$\_$j/ is an upper record value of this sequence lf X$\_$j/ > max(X$_1$, X$_2$,¨¨ ,X$\_$j-1/). We define u(n) = min(j|j > u(n-1),X$\_$j/ > X$\_$u(n-1)/, n $\geq$ 2) with u(1) = 1. Then F(x) = 1 - e(equation omitted), x > 0 if and only if E[X$\_$u(n+3)/ - X$\_$u(n)/ | X$\_$u(m)/ = y] = 3c, or E[X$\_$u(n+4)/ - X$\_$u(n)/|X$\_$u(m)/ = y] = 4c, n m+1.

ON EXISTENCE OF SOLUTIONS OF DEGENERATE WAVE EQUATIONS WITH NONLINEAR DAMPING TERMS

  • Park, Jong-Yeoul;Bae, Jeong-Ja
    • Journal of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.465-490
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    • 1998
  • In this paper, we consider the existence and asymptotic behavior of solutions of the following problem: $u_{tt}$ -(t, x) - (∥∇u(t, x)∥(equation omitted) + ∥∇v(t, x) (equation omitted)$^{\gamma}$ $\Delta$u(t, x)+$\delta$$u_{t}$ (t, x)│sup p-1/ $u_{t}$ (t, x) = $\mu$│u(t, x) $^{q-1}$u(t, x), x$\in$$\Omega$, t$\in$[0, T], $v_{tt}$ (t, x) - (∥∇uu(t, x) (equation omitted) + ∥∇v(t, x) (equation omitted)sup ${\gamma}$/ $\Delta$v(t, x)+$\delta$$v_{t}$ (t, x)│sup p-1/ $u_{t}$ (t, x) = $\mu$ u(t, x) $^{q-1}$u(t, x), x$\in$$\Omega$, t$\in$[0, T], u(0, x) = $u_{0}$ (x), $u_{t}$ (0, x) = $u_1$(x), x$\in$$\Omega$, u(0, x) = $v_{0}$ (x), $v_{t}$ (0, x) = $v_1$(x), x$\in$$\Omega$, u│∂$\Omega$=v│∂$\Omega$=0 T > 0, q > 1, p $\geq$1, $\delta$ > 0, $\mu$ $\in$ R, ${\gamma}$ $\geq$ 1 and $\Delta$ is the Laplacian in $R^{N}$.X> N/.

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Effects of Unripe Rubus coreanus Miquel Extract on Improvement of Lipid Metabolism in C57BL/6 Mice Fed a High-Cholesterol Diet (미숙과 복분자 열매 추출물이 고콜레스테롤 식이를 섭취시킨 C57BL/6 Mice의 지질대사 개선 효과)

  • Jung, Myung-A;Cho, Sook-Hyun;Lee, Sun Young;Kim, Ji Hye;Oh, Kyonyeo;Kim, Young-Suk;Yoo, GooSang;Lee, Dong-Wook;Kim, Sunoh
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.43 no.5
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    • pp.650-655
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    • 2014
  • Hypercholesterolemia is the presence of high levels of cholesterol in the blood, and it is regarded as a risk factor for cardiovascular disease due to the effects of cholesterol. The objective of this study was to investigate the effects of unripe Rubus coreanus Miquel (uRC) extract on lipid metabolism in hypercholesterolemic mice fed a high cholesterol diet (HC). uRC 50 (unripe R. coreanus 5% ethanol extract 50 mg/kg/day), uRC 100 (unripe R. coreanus 5% ethanol extract 100 mg/kg/day), uRC 300 (unripe R. coreanus 5% ethanol extract 300 mg/kg/day), and BO (borage seed oil containing minimum of 20% ${\gamma}$-linolenic acid 30 mg/kg/day) were orally administered for 60 days after HC. Oral administration of uRC 50, uRC 100, uRC 300, and BO significantly reduced serum total-cholesterol, triglyceride, LDL-cholesterol, glutamic oxaloacetic transaminase, glutamic pyruvic transaminase, atherogenic index, and cardiac risk factor levels. Similarly, uRC treatment elevated serum HDL-cholesterol levels. These results suggest that unripe R. coreanus extract could be established as a functional food for the improvement of lipid metabolism.

Advanced u-Healthcare Service using A Multimodal Sensor in Ubiquitous Smart Space (유비쿼터스 지능공간에서 멀티모달센서를 이용한 향상된 u-헬스케어 서비스 구현에 대한 연구)

  • Kim, Hyun-Woo;Byun, Sung-Ho;Park, Hui-Jung;Lee, Seung-Hwan;Jung, Yoo-Suk;Cho, We-Duke
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.46 no.2
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    • pp.27-35
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    • 2009
  • A paradigm of medical industry is changing quickly to u-healthcare according to entry toward an aging society and improvement of quality of life(QoL). The change toward u-healthcare is meaningful since meaning of healthcare is redefined by prevention and management instead of medical service such as diagnosis of disease and treatment. However, the interest about u-healthcare is only concentrated to derivation of new healthcare service, development of medical measurement appliances(Sensors), and integration and standardization of medical information. Therefore, in this paper, the main ai of this study is trying to realize and implement u-healthcare technology through primary philosophies of ubiquitous composition such as Disappear Computing, Invisible Computing, and Calm Computing and development of user-centered technology.

POSITIVE RADIAL SOLUTIONS OF $DELTA U + LAMBDA F(U) 0$ ON ANNULUS

  • Bae, Soo-Hyun;Park, Sang-Don;Pahk, Dae-Hyeon
    • Journal of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.381-386
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    • 1996
  • We consider the behavior of positive radial solutions (or, briefly, pp.r.s.) of the equation $$ (1.1) ^\Delta u + \lambda f(u) = 0 in\Omega, _u = 0 on \partial\Omega, $$ where $\Omega = {x \in R^n$\mid$A < $\mid$x$\mid$ < B}$ is an annulus in $R^n, n \geq 2, \lambda > 0 and f \geq 0$ is superlinear in u and satisfies f(0) = 0.

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A NOTE ON CONNECTEDNESS IM KLEINEN IN C(X)

  • BAIK, BONG SHIN;RHEE, CHOON JAI
    • The Pure and Applied Mathematics
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    • v.22 no.2
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    • pp.139-144
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    • 2015
  • Abstract. In this paper, we investigate the relationships between the space X and the hyperspace C(X) concerning admissibility and connectedness im kleinen. The following results are obtained: Let X be a Hausdorff continuum, and let A ∈ C(X). (1) If for each open set U containing A there is a continuum K and a neighborhood V of a point of A such that V ⊂ IntK ⊂ K ⊂ U, then C(X) is connected im kleinen. at A. (2) If IntA ≠ ø, then for each open set U containing A there is a continuum K and a neighborhood V of a point of A such that V ⊂ IntK ⊂ K ⊂ U. (3) If X is connected im kleinen. at A, then A is admissible. (4) If A is admissible, then for any open subset U of C(X) containing A, there is an open subset V of X such that A ⊂ V ⊂ ∪U. (5) If for any open subset U of C(X) containing A, there is a subcontinuum K of X such that A ∈ IntK ⊂ K ⊂ U and there is an open subset V of X such that A ⊂ V ⊂ ∪ IntK, then A is admissible.

A GENERALIZATION OF HOMOLOGICAL ALGEBRA

  • Davvaz, B.;Shabani-Solt, H.
    • Journal of the Korean Mathematical Society
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    • v.39 no.6
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    • pp.881-898
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    • 2002
  • Our aim in this paper is to introduce a generalization of some notions in homological algebra. We define the concepts of chain U-complex, U-homology, chain (U, U')-map, chain (U, U')-homotopy and $\mu$-functor. We also obtain some interesting results. We use these results to find a generalization of Lambek Lemma, Snake Lemma, Connecting Homomorphism and Exact Triangle.

A Study on Performance Evaluation and Security Measures of U-IT Electrical Safety Integrated Management System's Module (U-IT 전기안전통합관리시스템의 모듈별 성능평가와 보안방법 연구)

  • Park, Dea-Woo;Choi, Choung-Moon;Kim, Eung-Sik
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2010.05a
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    • pp.307-310
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    • 2010
  • Ubiquitous society to build basic infrastructure in the power supply and power equipment safety is important. U-City in order to prevent the disaster of U-IT Power Equipment Performance Module and the security for the safety of the U-City is necessary. In this paper, the power unit of U-IT module, temperature sensor, humidity sensor, equipped with sensors arranged throughout the fire, and home distribution boards, Home Network Wall-Pad, Blocker, MPNP black boxes, arc detection, arc safety equipment, outlet of the modular performance evaluation and security measures will be studied. U-IT power devices and sensors to analyze the information conveyed by proactive risk and ensure safety, access control, authentication, security safeguards, such as U-IT integrated management system for electrical safety and strengthen the security, safety and security with a U-City will contribute to the construction and operation.

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A Study of Meta Analysis for U-Learning Activation (U-러닝 활성화를 위한 메타 분석 연구)

  • Kim, Du-Gyu;Park, Su-Hong
    • 한국정보교육학회:학술대회논문집
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    • 2008.01a
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    • pp.228-235
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    • 2008
  • 21세기 인류는 디지털 기술 혁신과 정보 통신 혁명으로 물리적 공간과 가상공간이 통합되는 새로운 유비쿼터스 시대를 맞이하고 있다. 미국, 일본, 유럽 등 많은 선진 국들은 유비쿼터스 컴퓨팅 혁명을 자국의 경쟁력 강화를 위한 핵심 패러다임으로 인식하고 유비쿼터스 관련 연구에 박차를 가하고 있다. 이에 본 연구에서는 엄선된 u-러닝 분석 사례의 고찰을 통해 'u-러닝 연구 방향 설정 시 고려할 사항','u-러닝 학습 모델 개발 시 고려할 사항' 및 'u-러닝 환경 조성 시 고려할 사항'등을 도출해 U-러닝 활성화 방안을 모색하였다.

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