• Title/Summary/Keyword: open problem

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A Case Study of Procedural and Conceptual Knowledge Construction in the Computer Environments

  • Lee, Joong-Kwoen
    • Research in Mathematical Education
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    • v.8 no.2
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    • pp.81-93
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    • 2004
  • This study investigated three preservice teachers' mathematical problem solving among hand-in-write-ups and final projects for each subject. All participants' activities and computer explorations were observed and video taped. If it was possible, an open-ended individual interview was performed before, during, and after each exploration. The method of data collection was observation, interviewing, field notes, students' written assignments, computer works, and audio and videotapes of preservice teachers' mathematical problem solving activities. At the beginning of the mathematical problem solving activities, all participants did not have strong procedural and conceptual knowledge of the graph, making a model by using data, and general concept of a sine function, but they built strong procedural and conceptual knowledge and connected them appropriately through mathematical problem solving activities by using the computer technology.

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AT LEAST TWO SOLUTIONS FOR THE SEMILINEAR BIHARMONIC BOUNDARY VALUE PROBLEM

  • Jung, Tacksun;Choiy, Q-Heung
    • Korean Journal of Mathematics
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    • v.22 no.4
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    • pp.633-644
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    • 2014
  • We get one theorem that there exists a unique solution for the fourth order semilinear elliptic Dirichlet boundary value problem when the number 0 and the coefficient of the semilinear part belong to the same open interval made by two successive eigenvalues of the fourth order elliptic eigenvalue problem. We prove this result by the contraction mapping principle. We also get another theorem that there exist at least two solutions when there exist n eigenvalues of the fourth order elliptic eigenvalue problem between the coefficient of the semilinear part and the number 0. We prove this result by the critical point theory and the variation of linking method.

The Scheduling Problem in Wireless Networks

  • Pantelidou, Anna;Ephremides, Anthony
    • Journal of Communications and Networks
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    • v.11 no.5
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    • pp.489-499
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    • 2009
  • We describe the fundamental issue of scheduling the allocation of wireless network resources and provide several formulations of the associated problems. The emphasis is on scheduling transmission attempts. We place this problem in the context of existing approaches, like information theoretic and traditional network theoretic ones, as well as novel avenues that open up the possibility of addressing this issue for non-stationary and non-ergodic environments. We summarize concrete recent results for specific special cases that include unicast and multicast traffic, different objective functions, and reduced complexity versions of the problem. We conclude with some thoughts for future work. We identify and single out the cross-layer nature of the problem and include a simple physical-layer criterion in what is mostly a medium access control (MAC) problem.

Cross Decomposition Applied to the Intermediate Warehouse Location Problem (교차분해법을 이용한 이단계유통체계에서의 중간창고의 입지선정)

  • 차동완;정기호;허원수
    • Journal of the Korean Operations Research and Management Science Society
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    • v.9 no.2
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    • pp.3-8
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    • 1984
  • This paper considers the intermediate warehouse location problem in a two stage distribution system where commodities are delivered from the given set of capacitated factories to customers via uncapacitated intermediate warehouses. In order to determine the subset of warehouses to open which minimizes the total distribution costs including the fixed costs associated with opening warehouses, the cross decomposition method for mixed integer programming recently developed by T.J. Van Roy is used. The cross decomposition unifies Benders decomposition and Lagrangean relaxation into a single framework that involves successive solutions to a primal subproblem and a dual subproblem. In our problem model, primal subproblem turns out to be a transshipment problem and dual subproblem turns out to be an intermediate warehouse location problem with uncapacitated factories.

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SOLUTION OF AN UNSOLVED PROBLEM IN BCK-ALGEBRA

  • Nisar, Farhat;Bhatti, Shaban Ali
    • East Asian mathematical journal
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    • v.21 no.1
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    • pp.49-60
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    • 2005
  • In this paper we introduced Semi-neutral BCK-algebra and investigate some of its properties. The notions of ideals and subalgebras coincide in Semi-neutral BCK-algebras. We also show that if the number of nonzero elements in a Semi-neutral BCK-algebra is n, then the number of ideals/subalgebras in it is $2^n$. Further, we solved an open problem posed by W.A. Dudek in [2].

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Noise robust distant sound recognition (잡음 환경에 강인한 원거리 음향 정보 검출 기술 연구)

  • Yoo, In-Chul;Yook, Dong-Suk
    • Proceedings of the KSPS conference
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    • 2007.05a
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    • pp.37-38
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    • 2007
  • This paper reviews the issues in implementing sound recognizers in real environments. First is the signal corruption caused by background noises and reverberation. Second is the open-set problem which is the problem of rejecting out-of-vocabulary words and noises. These two issues must be solved for noise robust recognizers.

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Conditional Covering : Worst Case Analysis of Greedy Heuristics

  • Moon, I.Douglas
    • Journal of the Korean Operations Research and Management Science Society
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    • v.15 no.2
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    • pp.97-104
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    • 1990
  • The problem is a variation of the weighted set-covering problem (SCP) which requires the minimum-cost cover to be self-covering. It is shown that direct extension of the well-known greedy heuristic for SCP can have an arbitrarily large error in the worst case. It remains an open question whther these exists a greedy heuristic with a finite error bound.

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Solving the commutation problem of single-phase PWM AC-AC converter using basic switching cell (스위칭 셀을 이용하여 커뮤테이션 문제를 해결한 단상 PWM AC-AC 컨버터)

  • Shin, Hyunhak;Cha, Honnyong;Kim, Heung-Geun
    • Proceedings of the KIPE Conference
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    • 2013.07a
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    • pp.194-195
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    • 2013
  • This paper presents novel single-phase PWM AC-AC converters that can solve commutation problem in single-phase direct AC-AC converter without sensing input voltage polarity. By using the basic switching cell concept and coupled inductor, the proposed converter can be short and open-circuit without damping switching devices. A 120 W prototype is built and tested to verify performance of the proposed converter.

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Competitive Power Extraction from Resistive n-Ports (N- 포오트 저항회로에서의 경쟁적인 전력수급)

  • 배진호;노철균
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.2
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    • pp.144-150
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    • 1989
  • The competitive power extraction problem in a linear n-port network consisting of resistances and independent sources with the same frequency is solved. For solving the problem, the definition of the two-port image impedances is extended to the n-port image impedances. In a competitive power extraction from an n-port network, the load resistances eventually approach the image resistances been found to be between the reciprocal of the short circuit conductance and the open circuit resistance.

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Stress and Adaptation of Adopting Families : Open Adoption in Korea and Australia (입양 가정의 스트레스와 적응 : 한국과 호주의 공개입양가정을 중심으로)

  • Koo, Mee-Hyang
    • Korean Journal of Child Studies
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    • v.29 no.6
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    • pp.105-119
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    • 2008
  • Investigating cross-cultural differences of family stress and adaptation in Korea and Australia, 49 families in open adoption were administered the Family Index of Regenerativity and Adaptation-General (McCubbin, 1987), Family Problem Solving Communications (McCubbin et al., 1988), and Social Support Index (McCubbin et al., 1982). Data were analyzed by T-test and correlation analysis. Results indicated that adoption itself was the primary stressor in both countries. Korean adoptive families were under stress by family-oriented factors; Australian adoptive families experienced external family stress. Regarding family hardiness, coping efforts and family communication, Australian adoptive families reported significantly higher family functioning than Korean adoptive families. Findings suggested that a broad range of social support is needed to improve family adaptability in both countries.

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