• 제목/요약/키워드: Ding

검색결과 926건 처리시간 0.023초

THE SMALLEST TRIANGULAR COVER FOR TRIANGLES OF DIAMETER ONE

  • YUAN LIPING;DING REN
    • Journal of applied mathematics & informatics
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    • 제17권1_2_3호
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    • pp.39-48
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    • 2005
  • A convex region covers a family of curves if it contains a congruent copy of each curve in the family, and a 'worm problem' for that family is to find the convex region of smallest area. In this paper, we find the smallest triangular cover of any prescribed shape for the family S of all triangles of diameter 1.

MORE ON CUTTING A POLYGON INTO TRIANGLES OF EQUAL AREAS

  • DU YATAO;DING REN
    • Journal of applied mathematics & informatics
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    • 제17권1_2_3호
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    • pp.259-267
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    • 2005
  • In 2000 a general conjecture was proposed: a special polygon cannot be cut into an odd number of triangles of equal areas. It has been proved that the conjecture holds for polygons with at most six sides. In this paper we prove the existence of special n-polygon for any integer n > 6 and discuss the conjecture for special polygons with seven sides.

전기방사에 의한 $TiO_2-SiO_2$ 나노섬유 제조 (Preparation of electrospun $TiO_2-SiO_2$ nanofibers)

  • 김철기;;김학용;이덕래;박수진
    • 한국섬유공학회:학술대회논문집
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    • 한국섬유공학회 2003년도 봄 학술발표회 논문집
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    • pp.372-373
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    • 2003
  • 전기방사는 고분자 용액에 전기장을 이용하여 나노섬유를 제조하는 유용한 방법이다. 전기방사에 의한 섬유 제조에 영향을 주는 공정인자들로는 고분자의 성질과 분자량 그리고 용액의 농도와 점도, 용매, 전기장의 세기, 콜렉터와의 거리에 의존한다[1-3]. TiO$_2$-SiO$_2$ 나노구조는 광학성, 열안정설, 내화학성 그리고 낮은열팽창성이 우수하여 반투명 코팅재, 광학센서, 광학유리, 보강재, 촉매재 등 광범위하게 응용될 수 있다. (중략)

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ON GENERALIZED WEIGHT NASH EQUILIBRIA FOR GENERALIZED MULTIOBJECTIVE GAMES

  • Kim, Won-Kyu;Ding, Xie-Ping
    • 대한수학회지
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    • 제40권5호
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    • pp.883-899
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    • 2003
  • In this paper, we will introduce the general concepts of generalized multiobjective game, generalized weight Nash equilibria and generalized Pareto equilibria. Next using the fixed point theorems due to Idzik [5] and Kim-Tan [6] , we shall prove the existence theorems of generalized weight Nash equilibria under general hypotheses. And as applications of generalized weight Nash equilibria, we shall prove the existence of generalized Pareto equilibria in non-compact generalized multiobjective game.

The Application of Fuzzy Reaching Law Control in AC Position Servo System

  • Yang Yangxi;Liu Ding
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2001년도 Proceedings ICPE 01 2001 International Conference on Power Electronics
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    • pp.360-364
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    • 2001
  • In this paper, a novel method of reaching law variable structure control based on fuzzy rules is present, which is that the reaching law parameters is on-line adjusted by fuzzy rules. This method is used in a digital ac position servo system, the experiment results show that the system designed by this method has both satisfactory quality and very smaller chattering.

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ON COLUMN INVARIANT AND INDEX OF COHEN-MACAULAY LOCAL RINGS

  • Koh, Jee;Lee, Ki-Suk
    • 대한수학회지
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    • 제43권4호
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    • pp.871-883
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    • 2006
  • We show that the Auslander index is the same as the column invariant over Gorenstein local rings. We also show that Ding's conjecture ([13]) holds for an isolated non-Gorenstein ring A satisfying a certain condition which seems to be weaker than the condition that the associated graded ring of A is Cohen-Macaulay.

Measurement of Porosity by EPMA-EDS Image Processing

  • Hung, Minhui;Li, Xiangting;Xia, Jiyu;Ding, Chuanxian
    • 한국진공학회지
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    • 제6권S1호
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    • pp.66-69
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    • 1997
  • Porosity is one important characteristic feature and structural index of sprayed coatings. A method of measurement of porosity, EPMA-EDS image processing is developed in the paper. The characteristics of pores can be determined by processing of the image obtained from an electron microscope via VISTA, Not only the porosity can be presented but also the statistical result of pore size distribution. Finally it can be drawn from this paper that EPMA-EDS is a quite effective method to completely characterize the pores in plasma sprayed coatings.

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SUFFICIENT CONDITION FOR THE EXISTENCE OF THREE DISJOINT THETA GRAPHS

  • Gao, Yunshu;Ma, Ding
    • 대한수학회보
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    • 제52권1호
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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.

Analytical solutions for density functionally gradient magneto-electro-elastic cantilever beams

  • Jian, Aimin;Ding, Haojiang
    • Smart Structures and Systems
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    • 제3권2호
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    • pp.173-188
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    • 2007
  • The general solution for two-dimensional magneto-electro-elastic media in terms of four harmonic displacement functions is proposed analytically. The expressions of specific solutions of magneto-electro-elastic plane problems with specific body forces are derived. Finally, based on the general solution in the case of distinct eigenvalues and the specific solution for density functionally gradient media, two kinds of beam problems with body forces depending only on the z or x coordinate are solved by the trial-and-error method.

STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR A CLASS OF NONLINEAR SET-VALUED VARIATIONAL INCLUSIONS

  • Ding, Xie Ping;Salahuddin, Salahuddin
    • Korean Journal of Mathematics
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    • 제25권1호
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    • pp.19-35
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    • 2017
  • In this communication, we introduce an Ishikawa type iterative algorithm for finding the approximate solutions of a class of nonlinear set valued variational inclusion problems. We also establish a characterization of strong convergence of this iterative techniques.