• Title/Summary/Keyword: Nu-A

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THE WEAK LAW OF LARGE NUMBER FOR NORMED WEIGHTED SUMS OF STOCHASTICALLY DOMINATED AND PAIRWISE NEGATIVELY QUADRANT DEPENDENT RANDOM VARIABLES

  • KIM, TAE-SUNG;CHOI, JEONG-YEOL;KIM, HYUN-CHUL
    • Honam Mathematical Journal
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    • v.21 no.1
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    • pp.149-156
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    • 1999
  • Let $\{X_n,\;n{\geq}1\}$ be a sequence of pairwise negative quadrant dependent (NQD) random variables which are stochastically dominated by X. Let $\{a_n,\;n{\geq}1\}$ and $\{b_n,\;n{\geq}1\}$ be sequences of constants such that $a_n>0$ and $0. In this note a weak law of large number of the form $({\sum}_{j=1}^na_jX_j-{\nu}_n)/b_n\rightarrow\limits^p0$ is established, where $\{{\nu}_n,\;n{\geq}1\}$ is a suitable sequence.

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Analysis Model of Movie Storytelling Based on the Narrative 17 Process (내러티브 17 프로세스에 의한 영상 스토리텔링 분석 모델)

  • Sung, Bongsun;Lee, Tae Rin;Kim, Jae Ho
    • Journal of Korea Multimedia Society
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    • v.20 no.9
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    • pp.1596-1605
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    • 2017
  • This study recognizes the narrative of the movie as a semiotic system and proposes a structured storytelling analysis model through theoretical basis and empirical analysis. It classifies as 'Narrative 17 Process' which considers the narrative of successful 11 animations as a continuous process of formal structure. It extract the paradigmatic sub-narrative units(NU) centered on the act of the character in each process. The structural pattern of the story types are extracted by comparing and analyzing with 5 NU analysis elements presented in this study. As a result, the 4 story types were consistently classified by the SSD distance value. Therefore, this study propose a storytelling analysis model that can be effectively applied to scenarios and narrative composition stages of movie production.

Test of the hybrid origin of Broussonetia × kazinoki (Moraceae) in Korea using molecular markers

  • WON, Hyosig
    • Korean Journal of Plant Taxonomy
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    • v.49 no.4
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    • pp.282-293
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    • 2019
  • Broussonetia × kazinoki Siebold has long been utilized as a major component in the manufacturing of Korean traditional paper, hanji, and has been suggested as a hybrid species of B. papyrifera and B. monoica. By applying three molecular markers, chloroplast (cp) ndhF-rpl32 IGS, a nuclear ribosomal internal transcribed spacer, and the TOPO6 gene, the hybrid origin of B. × kazinoki is tested. As a result, B. × kazinoki in Korea is demonstrated to be a hybrid of B. monoica × B. papyrifera, most likely formed naturally in Korea. The cp haplotypes detected provided information about the origins and genetic diversity of the maternal lineage B. monoica and paternal lineage B. papyrifera. The two nuclear markers were supplemented to each other, leading to the discovery of introgression in Broussonetia.

Research on Robust Stability Analysis and Worst Case Identification Methods for Parameters Uncertain Missiles

  • Hou, Zhenqian;Liang, Xiaogeng;Wang, Wenzheng
    • International Journal of Aeronautical and Space Sciences
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    • v.15 no.1
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    • pp.63-73
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    • 2014
  • For robust stability analysis of parameters uncertainty missiles, the traditional frequency domain method can only analyze each respective channel at several interval points within uncertain parameter space. Discontinuous calculation and couplings between channels will lead to inaccurate analysis results. A method based on the ${\nu}$-gap metric is proposed, which is able to comprehensively evaluate the robust stability of missiles with uncertain parameters; and then a genetic-simulated annealing hybrid optimization algorithm, which has global and local searching ability, is used to search for a parameters combination that leads to the worst stability within the space of uncertain parameters. Finally, the proposed method is used to analyze the robust stability of a re-entry missile with uncertain parameters; the results verify the feasibility and accuracy of the method.

ANALYSIS OF THE STRONG INSTANCE FOR THE VECTOR DECOMPOSITION PROBLEM

  • Kwon, Sae-Ran;Lee, Hyang-Sook
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.2
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    • pp.245-253
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    • 2009
  • A new hard problem called the vector decomposition problem (VDP) was recently proposed by Yoshida et al., and it was asserted that the VDP is at least as hard as the computational Diffie-Hellman problem (CDHP) under certain conditions. Kwon and Lee showed that the VDP can be solved in polynomial time in the length of the input for a certain basis even if it satisfies Yoshida's conditions. Extending our previous result, we provide the general condition of the weak instance for the VDP in this paper. However, when the VDP is practically used in cryptographic protocols, a basis of the vector space ${\nu}$ is randomly chosen and publicly known assuming that the VDP with respect to the given basis is hard for a random vector. Thus we suggest the type of strong bases on which the VDP can serve as an intractable problem in cryptographic protocols, and prove that the VDP with respect to such bases is difficult for any random vector in ${\nu}$.

On the hardness of maximum lot grouping problem (최대 로트 그룹핑 문제의 복잡성)

  • Hwang Hark-Chin
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2003.05a
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    • pp.409-416
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    • 2003
  • We consider the problem of grouping orders into lots. The problem is modelled by a graph G = (V, E). where each node $\nu\;\in\;V$ denotes order specification and its weight $\omega(\nu)$ the orders on hand for the specification. We ran construct a lot simply from orders or single specification For a set of nodes (specifications) $\theta\;\subseteq\;V$, if the distance or any two nodes in $\theta$ is at most d, it is also possible to make a lot using orders on the nodes. The objective is to maximize the number of lots with size exactly $\lambda$. In this paper, we prove that our problem is NP-Complete when d = 2, $\lambda\;=\;3$ and each weight is 0 or 1. Moreover, it is also shown to be NP-Complete when d = 1, $\lambda\;=\;3$ and each weight is 1, 2 or 3

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MARK SEQUENCES IN 3-PARTITE 2-DIGRAPHS

  • Merajuddin, Merajuddin;Samee, U.;Pirzada, S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.11 no.1
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    • pp.41-56
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    • 2007
  • A 3-partite 2-digraph is an orientation of a 3-partite multi-graph that is without loops and contains at most two edges between any pair of vertices from distinct parts. Let D(X, Y, Z) be a 3-partite 2-digraph with ${\mid}X{\mid}=l,\;{\mid}Y{\mid}=m,\;{\mid}Z{\mid}=n$. For any vertex v in D(X, Y, Z), let $d^+_{\nu}\;and\;d^-_{\nu}$ denote the outdegree and indegree respectively of v. Define $p_x=2(m+n)+d^+_x-d^-_x,\;q_y=2(l+n)+d^+_y-d^-_y\;and\;r_z=2(l+m)+d^+_z-d^-_z$ as the marks (or 2-scores) of x in X, y in Y and z in Z respectively. In this paper, we characterize the marks of 3-partite 2-digraphs and give a constructive and existence criterion for sequences of non-negative integers in non-decreasing order to be the mark sequences of some 3-partite 2-digraph.

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On a Bayes Criterion for the Goodness-of-Link Test for Binary Response Regression Models : Probit Link versus Logit Link

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
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    • v.26 no.2
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    • pp.261-276
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    • 1997
  • In the context of binary response regression, the problem of constructing Bayesian goodness-of-link test for testing logit link versus probit link is considered. Based upon the well known facts that cdf of logistic variate .approx. cdf of $t_{8}$/.634 and, as .nu. .to. .infty., cdf of $t_{\nu}$ approximates to that of N(0,1), Bayes factor is derived as a test criterion. A synthesis of the Gibbs sampling and a marginal likelihood estimation scheme is also proposed to compute the Bayes factor. Performance of the test is investigated via Monte Carlo study. The new test is also illustrated with an empirical data example.e.

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An experimental study for bending behavior of real size RC beams strengthened with carbon fiber sheets (탄소 섬유시트로 보강된 실제크기 철근 콘크리트 보의 휨 거동에 대한 실험적 연구)

  • Kim, Seong-Do;Seong, Jin-Wook
    • Proceedings of the KSR Conference
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    • 2009.05a
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    • pp.574-580
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    • 2009
  • This study is investigate the bending behavior of real size RC beams strengthened with carbon fiber sheets. For experimental study, 1 control beam and 8 strengthened beams of real size(4 NU-beams and 4 U-beams) are tested and compared. NU-beam has not a V-shaped band and V-beam has a V-shaped band. The variables of experiment are composed of the number of carbon fiber sheets, the existence of U-shaped band, and four point loading, etc. The experimental results showed that the strengthening system with U-shaped band controls the premature debonding and provides a more ductile failure mode than the strengthening system without V-shaped band. It can be found from the load-deflection curves that as the number of fiber sheets is increased, the maximum strength and the flexural rigidity is increased. For the strengthening method with carbon fiber sheets of the real size RC beams, it is required the finding a solution to the bonding problem.

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Effect of Sectorial Angle on Natural Convection in Circular Trapezoidal Enclosures (부채형 밀폐 공간 내에서의 자연대류 열전달에 대한 공간각의 영향)

  • Bae, Tae-Yeol;Kwon, Sun-Suk
    • Solar Energy
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    • v.13 no.1
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    • pp.31-38
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    • 1993
  • A numerical study of natural convection heat transfer confined by circular parallel walls at different temperatures and flat adiabatic walls is investigated for Rayleigh numbers from $10^3$ to $10^5$and sectorial angles from $30^{\circ}$ to $180^{\circ}$. It is used by a finite difference method to solve the governing equations. The results show velocity and temperature distributions. Mean Nusselt numbers are shown by $\overline{Nu}=C(Ra_L)^m$.

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