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  • 2005-2009
  • 1985-1989  (2)
  • Ordered sets  (1)
  • pyrolytic boron nitride  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Representing an ordered set as the intersection of super greedy linear extensions (1987)
    Springer
    Order 4 (1987), S. 293-311 
    Details
    ISSN: 1572-9273
    Keywords: 06A05 ; Ordered sets ; linear extensions ; super greedy dimensions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A linear extension [x 1〈x2〈...〈xt] of a finite ordered set P=(P, 〈) is super greedy if it can be obtained using the following procedure: Choose x 1 to be a minimal element of P; suppose x 1,...,x i have been chosen; define p(x) to be the largest j≤i such that x j〈x if such a j exists and 0 otherwise; choose x i+1 to be a minimal element of P-{ x 1,...,x i} which maximizes p. Every finite ordered set P can be represented as the intersection of a family of super greedy linear extensions, called a super greedy realizer of P. The super greedy dimension of P is the minimum cardinality of a super greedy realizer of P. Best possible upper bounds for the super greedy dimension of P are derived in terms of |P-A| and width (P-A), where A is a maximal antichain.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00337892
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Suggestions regarding thermal diffusivity measurements on pyrolytic graphite and pyrolytic boron nitride by the laser pulse method (1986)
    Springer
    International journal of thermophysics 7 (1986), S. 789-802 
    Details
    ISSN: 1572-9567
    Keywords: anisotropic materials ; pyrolytic graphite ; pyrolytic boron nitride ; thermal conductivity ; thermal diffusivity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The laser pulse method can be successfully applied to the measurement of thermal diffusivity of isotropic materials subject to some assumptions. For anisotropic materials, this method is applicable to the measurement of principal thermal diffusivity only on the condition that there is no difference in direction between the principal axis and that of the temperature gradient. After analyzing the heat conduction process in an anisotropic solid, it has been shown that large errors in the measurement of thermal diffusivity would exist if the direction of the principal axis deviates inconspicuously from that of the temperature gradient. The experimental results of thermal diffusivity of highly oriented pyrolytic graphite (HOPG) samples with various deviation angles have been compared with the analytical results. The laser pulse method is not applicable to measurements on semitransparent pyrolytic boron nitride (PBN). We adopted a two-layer composite sample to measure the thermal diffusivity of PBN in the c direction and a particular graphite-PBN composite sample has been prepared which has a very low thermal resistance at the interface. The thermal diffusivity and thermal conductivity of PG (below 2300°C) and PBN (below 1000°C) are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00503836
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    Paper (German National Licenses)
    Fulltext
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