• Title/Summary/Keyword: number operator

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APPLICATION OF MULTIVARIATE DISCRIMINANT ANALYSIS FOR CLASSIFYING PROFICIENCY OF EQUIPMENT OPERATORS

  • Ruel R. Cabahug;Ruth Guinita-Cabahug;David J. Edwards
    • International conference on construction engineering and project management
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    • 2005.10a
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    • pp.662-666
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    • 2005
  • Using data gathered from expert opinion of plant and equipment professionals; this paper presents the key variables that may constitute a maintenance proficient plant operator. The Multivariate Discriminant Analysis (MDA) was applied to generate data and was tested for sensitivity analysis. Results showed that the MDA model was able to classify plant operators' proficiency at 94.10 percent accuracy and determined nine (9) key variables of a maintenance proficient plant operator. The key variables included: i) number of years of experience as equipment operator (PQ1); ii) eye-hand coordination (PQ9); iii) eye-hand-foot coordination (PQ10); iv) planning skills (TE16); v) pay/wage (MQ1); vi) work satisfaction (MQ4); vii) operator responsibilities as defined by management (MF1); viii) clear management policies (MF4); and ix) management pay scheme (MF5). The classification procedure of nine variables formed the general model with the equation viz: OMP (general) = 0.516PQ1 + 0.309PQ9 + 0.557PQ10 + 0.831TE16 + 0.8MQ1 + 0.0216MQ4 + 0.136MF1 + 0.28MF4 + 0.332MF5 - 4.387

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GENERALIZED (C, r)-HANKEL OPERATOR AND (R, r)-HANKEL OPERATOR ON GENERAL HILBERT SPACES

  • Jyoti Bhola;Bhawna Gupta
    • Communications of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.821-835
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    • 2023
  • Hankel operators and their variants have abundant applications in numerous fields. For a non-zero complex number r, the r-Hankel operators on a Hilbert space 𝓗 define a class of one such variant. This article introduces and explores some properties of two other variants of Hankel operators namely kth-order (C, r)-Hankel operators and kth-order (R, r)-Hankel operators (k ≥ 2) which are closely related to r-Hankel operators in such a way that a kth-order (C, r)-Hankel matrix is formed from rk-Hankel matrix on deleting every consecutive (k - 1) columns after the first column and a kth-order (R, rk)-Hankel matrix is formed from r-Hankel matrix if after the first column, every consecutive (k - 1) columns are deleted. For |r| ≠ 1, the characterizations for the boundedness of these operators are also completely investigated. Finally, an appropriate approach is also presented to extend these matrices to two-way infinite matrices.

Improving the Ownership Regulation in the Broadcasting Industry (방송사업의 소유겸영규제 개선)

  • LEE, Suil
    • KDI Journal of Economic Policy
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    • v.33 no.4
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    • pp.85-118
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    • 2011
  • This paper uses the horizontal regulation system as the base analysis framework. The study clearly defines the regulatory goals of the followings: the horizontal cross-ownership regulations on program provider (PP) and platform provider, the vertical regulation on cross-ownership between PP and platform operator, the regulation on cross-ownership of program provider by terrestrial broadcasting company, and the regulation on cross-ownership between terrestrial broadcasting company and platform provider. Then, by analyzing the conformity between goals and criteria of regulations and the adequacy of the regulation level according to regulatory purposes, this paper examines the justifiability of each regulation and extracts improvement measures that suite regulatory purposes. This analysis finds following appropriate measures: replacing the horizontal cross-ownership regulation on PP with conduct regulations, such as designating major broadcasting programs or replacing the current criterion of cross-ownership regulation from sales to the audience market share; reshaping the horizontal cross-ownership regulation on platform provider so that system operator (SO), satellite broadcaster and Internet protocol television (IPTV) operator would be applied by the same regulation based on the number of subscribers of pay television services; and discontinuing other cross-ownership regulation. In this way, the study shows that with appropriate regulations on cross-ownership of PP, there would be no need for additional regulation on vertical integration between PP and platform operator. On the other hand, given that the regulation on terrestrial broadcasting cross-ownership of PP could be justified only by regulatory purpose of the protection of the diversity of public opinions, it would be desirable to replace the current criteria of the number of PPs with the criteria of the audience market share. Lastly, the study shows that when platform operator is targeted by the cross-ownership regulation based on the number of subscribers of pay television services, the regulation on cross-ownership between terrestrial broadcasting company and platform provider should be replaced with conduct regulations, such as designating must-offer channels and major broadcasting programs.

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Setting the Service Reliability Target for Meeting the Punctuality Requirement of the Railroad System (철도시스템 정시성 요구조건을 만족하기 위한 서비스 신뢰도 목표값 설정)

  • Kim, Jong-Woon;Park, Jun-Seo;Chung, In-Soo
    • Journal of the Korean Society for Railway
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    • v.14 no.1
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    • pp.6-10
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    • 2011
  • This article deals with a problem of setting reliability targets of the railroad systems where the punctuality target is given to the operator and a penalty is imposed for the year when the target is not met. The operator should set the reliability targets of the railroad system and sub-systems because the reliability affects the expected number of years when the penalty is imposed. This paper presents a procedure for setting the service reliability target and equations to calculate the expected number of years when the penalty is imposed and the probability that the operator should pay the penalty per year according to the mean kilometer between service failures of the railroad system and sub-systems.

RANK PRESERVER OF BOOLEAN MATRICES

  • SONG, SEOK-ZUN;KANG, KYUNG-TAE;JUN, YOUNG-BAE
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.3
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    • pp.501-507
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    • 2005
  • A Boolean matrix with rank 1 is factored as a left factor and a right factor. The perimeter of a rank-1 Boolean matrix is defined as the number of nonzero entries in the left factor and the right factor of the given matrix. We obtain new characterizations of rank preservers, in terms of perimeter, of Boolean matrices.

CAUCHY PROBLEMS FOR A PARTIAL DIFFERENTIAL EQUATION IN WHITE NOISE ANALYSIS

  • Chung, Dong-Myung;Ji, Un-Cig
    • Journal of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.309-318
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    • 1996
  • The Gross Laplacian $\Delta_G$ was introduced by Groww for a function defined on an abstract Wiener space (H,B) [1,7]. Suppose $\varphi$ is a twice H-differentiable function defined on B such that $\varphi"(x)$ is a trace class operator of H for every x \in B.in B.

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LINEAR OPERATORS THAT PRESERVE PERIMETERS OF BOOLEAN MATRICES

  • Song, Seok-Zun;Kang, Kyung-Tae;Shin, Hang-Kyun
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.2
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    • pp.355-363
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    • 2008
  • For a Boolean rank 1 matrix $A=ab^t$, we define the perimeter of A as the number of nonzero entries in both a and b. The perimeter of an $m{\times}n$ Boolean matrix A is the minimum of the perimeters of the rank-1 decompositions of A. In this article we characterize the linear operators that preserve the perimeters of Boolean matrices.

ON THE INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH A NONLINEAR SPECTRAL PARAMETER IN THE BOUNDARY CONDITION

  • Mamedov, Khanlar R.
    • Journal of the Korean Mathematical Society
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    • v.46 no.6
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    • pp.1243-1254
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    • 2009
  • The inverse scattering problem is investigated for some second order differential equation with a nonlinear spectral parameter in the boundary condition on the half line [0, $\infty$). In the present paper the coefficient of spectral parameter is not a pure imaginary number and the boundary value problem is not selfadjoint. We define the scattering data of the problem, derive the main integral equation and show that the potential is uniquely recovered.

LINEAR PRESERVERS OF SPANNING COLUMN RANK OF MATRIX SUMS OVER SEMIRINGS

  • Song, Seok-Zun
    • Journal of the Korean Mathematical Society
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    • v.45 no.2
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    • pp.301-312
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    • 2008
  • The spanning column rank of an $m{\times}n$ matrix A over a semiring is the minimal number of columns that span all columns of A. We characterize linear operators that preserve the sets of matrix pairs which satisfy additive properties with respect to spanning column rank of matrices over semirings.