• Title/Summary/Keyword: sufficient degree

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Actual condition and recognition of middle school students′ utilization of neighborhood leisure facilities in In-chon (인천광역시 중학생의 근린여가시설 이용실태와 인식도)

  • 김은정;조재순
    • Journal of Korean Home Economics Education Association
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    • v.14 no.3
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    • pp.37-49
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    • 2002
  • The Purpose of this research is to investigate utilization and recognition about neighborhood leisure facilities of middle school students. The data were collected through the questionnaire from 532 second grade students of 6 middle schools at Yeon-su Gu. Nam-dong Gu, and Suh Gu in In-chon. Results of the study are as follows; 1) They were most likely to use the consumptive and commercial entertainment-association facilities. There was no difference in the total number of frequencies of using facilities among the three areas. The students were more likely to use the leisure facilities whatever available for them easily to access. 2) All the using degree, sufficient degree and satisfactory degree of the leisure facilities were below the middle Point. The degree of using facilities by the student was insignificantly different among three areas but the sufficient and satisfactory degrees were varied. The regression result showed that the use of Public facilities as well as culture or sports facilities significantly increased sufficient and satisfaction degrees This research suggests to offer inexpensive leisure facilities of culture and sports in district residential area so as to access easily and to offer facilities for girls' students to activate using leisure facilities.

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SUFFICIENT CONDITIONS FOR SOME HAMILTONIAN PROPERTIES AND K-CONNECTIVITY OF GRAPHS

  • LI, RAO
    • Journal of applied mathematics & informatics
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    • v.34 no.3_4
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    • pp.221-225
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    • 2016
  • For a connected graph G = (V, E), its inverse degree is defined as $\sum_{{\upsilon}{\in}{V}}^{}\frac{1}{d(\upsilon)}$. Using an upper bound for the inverse degree of a graph obtained by Cioabă in [4], we in this note present sufficient conditions for some Hamiltonian properties and k-connectivity of a graph.

Necessary and Sufficient Conditions for the Existence of Decoupling Controllers in the Generalized Plant Model

  • Park, Ki-Heon;Choi, Goon-Ho
    • Journal of Electrical Engineering and Technology
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    • v.6 no.5
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    • pp.706-712
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    • 2011
  • Necessary and sufficient conditions for the existence of diagonal, block-diagonal, and triangular decoupling controllers in linear multivariable systems for the most general setting are presented. The plant model in this study is sufficiently general to accommodate non-square plant and non-unity feedback cases with one-degree-of-freedom (1DOF) or two-degree-of-freedom (2DOF) controller configuration. The existence condition is described in terms of rank conditions on the coefficient matrices in partial fraction expansions.

SUFFICIENT CONDITION FOR THE EXISTENCE OF THREE DISJOINT THETA GRAPHS

  • Gao, Yunshu;Ma, Ding
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.287-299
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    • 2015
  • A theta graph is the union of three internally disjoint paths that have the same two distinct end vertices. We show that every graph of order $n{\geq}12$ and size at least ${\lfloor}\frac{11n-18}{2}{\rfloor}$ contains three disjoint theta graphs. As a corollary, every graph of order $n{\geq}12$ and size at least ${\lfloor}\frac{11n-18}{2}{\rfloor}$ contains three disjoint cycles of even length.

PERIODIC SOLUTIONS OF A DISCRETE TIME NON-AUTONOMOUS RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH CONTROL

  • Zeng, Zhijun
    • Communications of the Korean Mathematical Society
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    • v.22 no.3
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    • pp.465-474
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    • 2007
  • With the help of the coincidence degree and the related continuation theorem, we explore the existence of at least two periodic solutions of a discrete time non-autonomous ratio-dependent predator-prey system with control. Some easily verifiable sufficient criteria are established for the existence of at least two positive periodic solutions.

PERIODIC SOLUTIONS OF A DISCRETE-TIME NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH THE BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

  • Dai, Binxiang;Zou, Jiezhong
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.127-139
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    • 2007
  • In this paper, we investigate a discrete-time non-autonomous predator-prey system with the Beddington-DeAngelis functional response. By using the coincidence degree and the related continuation theorem as well as some priori estimates, easily verifiable sufficient criteria are established for the existence of positive periodic solutions.

DYNAMICS OF A CLASS OF NON-AUTONOMOUS SYSTEMS OF TWO NON-INTERACTING PREYS WITH COMMON PREDATOR

  • ELABBASY E. M.;SAKER S. H.
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.195-215
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    • 2005
  • In this paper, we investigate the dynamics of the mathematical model of two non-interacting preys in presence of their common natural enemy (predator) based on the non-autonomous differential equations. We establish sufficient conditions for the permanence, extinction and global stability in the general non-autonomous case. In the periodic case, by means of the continuation theorem in coincidence degree theory, we establish a set of sufficient conditions for the existence of a positive periodic solutions with strictly positive components. Also, we give some sufficient conditions for the global asymptotic stability of the positive periodic solution.

Sufficient Conditions for Compatibility of Unequal-replicate Component Designs

  • Park, Dong-Kwon
    • Journal of the Korean Statistical Society
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    • v.23 no.2
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    • pp.513-522
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    • 1994
  • A multi-dimensional design is most easily constructed via the amalgamation of one-dimensional component block designs. However, not all sets of component designs are compatible to be amalgamated. The conditions for compatibility are related to the concept of a complete matching in a graph. In this paper, we give sufficient conditions for unequal-replicate designs. Two types of conditions are proposed; one is based on the number of verices adjacent to at least one vertex and the other is ona a degree of vertex, in a bipartite graph. The former is an extension of the sufficient conditions of equal-replicate designs given by Dean an Lewis (1988).

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Design of Robust DC-DC Converter by High-Order Approximate 2-Degree-of-Freedom Digital Controller

  • Takegami, E.;Tomioka, S.;Watanabe, K.;Higuchi, K.;Nakano, K.;Kajikawa, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.232-237
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    • 2004
  • In many application of DC-DC converters, loads cannot be specified in advance, i.e., their amplitudes are suddenly changed from the zero to the maximum rating. Generally, design conditions are changed for each load and then each controller is re-designed. Then, a so-called robust DC-DC converter which can cover such extensive load changes and also input voltage changes with one controller is needed. Analog control IC is used usually for the controller of DC-DC converter. Simple integral control etc. are performed with the analog control IC. However it is difficult to retain sufficient robustness of DC-DC converter by these techniques. The authors proposed the method of designing an approximate 2-degree-of-freedom (2DOF) controller of DC-AC converter. This controller has an ability to attain sufficient robustness against extensive load and DC power supply changes. For applying this approximate 2DOF controller to DC-DC converter, it is necessary to improve the degree of approximation for better robustness. In this paper, we propose a method of designing good approximate 2DOF digital controller which makes the control bandwidth wider, and at the same time makes a variation of the output voltage very small at a sudden change of resistive load. The proposed good approximate 2DOF digital controller is actually implemented on a DSP and is connected to a DC-DC converter. Experimental studies demonstrate that this type digital controller can satisfy given specifications.

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