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  • Hindawi Limited  (3)
  • 2000-2004  (3)
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  • Hindawi Limited  (3)
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  • 2000-2004  (3)
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  • 1
    Online Resource
    Online Resource
    On the weak uniform rotundity of Banach spaces
    Hindawi Limited ; 2003
    In:  International Journal of Mathematics and Mathematical Sciences Vol. 2003, No. 30 ( 2003), p. 1943-1945
    Details
    In: International Journal of Mathematics and Mathematical Sciences, Hindawi Limited, Vol. 2003, No. 30 ( 2003), p. 1943-1945
    Abstract: We prove that if X i , i = 1 , 2 , … , are Banach spaces that are weak* uniformly rotund, then their l p product space ( p 〉 1 ) is weak* uniformly rotund, and for any weak or weak* uniformly rotund Banach space, its quotient space is also weak or weak* uniformly rotund, respectively.
    Type of Medium: Online Resource
    ISSN: 0161-1712 , 1687-0425
    URL: Article
    DOI: 10.1155/S0161171203206359
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2003
    detail.hit.zdb_id: 1492203-4
    SSG: 17,1
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  • 2
    Online Resource
    Online Resource
    Simultaneous Buffer-sizing and Wire-sizing for Clock Trees Based on Lagrangian Relaxation
    Hindawi Limited ; 2002
    In:  VLSI Design Vol. 15, No. 3 ( 2002-01-01), p. 587-594
    Details
    In: VLSI Design, Hindawi Limited, Vol. 15, No. 3 ( 2002-01-01), p. 587-594
    Abstract: Delay, power, skew, area and sensitivity are the most important concerns in current clock-tree design. We present in this paper an algorithm for simultaneously optimizing the above objectives by sizing wires and buffers in clock trees. Our algorithm, based on Lagrangian relaxation method, can optimally minimize delay, power and area simultaneously with very low skew and sensitivity. With linear storage overall and linear runtime per iteration, our algorithm is extremely economical, fast and accurate; for example, our algorithm can solve a 6201-wire-segment clock-tree problem using about 1-minute runtime and 1.3-MB memory and still achieve pico-second precision on an IBM RS/6000 workstation.
    Type of Medium: Online Resource
    ISSN: 1065-514X , 1563-5171
    URL: Article
    DOI: 10.1080/1065514021000012200
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2002
    detail.hit.zdb_id: 2022068-6
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  • 3
    Online Resource
    Online Resource
    Using Plücker Coordinates for Pumping Speed Evaluation of Molecular Pump in the DSMC Method
    Hindawi Limited ; 2001
    In:  International Journal of Rotating Machinery Vol. 7, No. 1 ( 2001), p. 11-20
    Details
    In: International Journal of Rotating Machinery, Hindawi Limited, Vol. 7, No. 1 ( 2001), p. 11-20
    Abstract: In this study, the Plücker coordinates representation is used to formulate the ruled surface and the molecular path for pumping speed performance evaluation of a molecular vacuum pump. The ruled surface represented by the Pliicker coordinates is used to develop a criterion for when gas molecules hit the pump surface wall. The criterion is applied to analyze the flow rate of a new developed vacuum pump in transition regimes by using the DSMC (Direct Simulation Monte Carlo) method. When a molecule flies in a neutral electrical field its path is a straight line. If the molecular path and the generators of a ruled surface are both represented by the Pliicker coordinates, the position of the molecular hit on the wall can be verified by the reciprocal condition of the lines. The Plücker coordinates representation is quite convenient in the DSMC method for this three-dimensional molecular flow simulation.
    Type of Medium: Online Resource
    ISSN: 1023-621X
    URL: Article
    DOI: 10.1155/S1023621X01000021
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2001
    detail.hit.zdb_id: 2032559-9
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