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1.
  • Asratian, Armen, et al. (författare)
  • Two sensitivity theorems in fuzzy integer programming
  • 2000
  • Rapport (övrigt vetenskapligt/konstnärligt)abstract
    • We consider the problem of estimating optima of covering integer linear programs with 0-1 variables under the following conditions: we do not know exact values of elements in the constraint matrix A but we know what elements of A are zero and what are nonzero, and also know minimal and maximal values of nonzero elements. We find bounds for variation of the optima of such programs in worst and average cases. We also find some conditions guaranteeing that the variation of the optimum of such programs in the average case is close to 1 as the number of variables tends to infinity. This means that the values of nonzero elements in A can vary in sufficiently large interval do not affecting significantly on the value of the optimum of integer program.
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2.
  • Euler, Norbert, et al. (författare)
  • Classes of integrable autonomous evolution equations by generalized hodograph transformations
  • 2000
  • Rapport (övrigt vetenskapligt/konstnärligt)abstract
    • We propose a generalized hodograph transformation in order to conduct a classification of integrable nonlinear evolution equations. Classes of both second- and third-order autonomous evolution equations in one dependent and two independent variables are presented. Transformations are derived which transform the equations either to linear or other integrable equations.
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  • Kato, Mikio, et al. (författare)
  • On James, Jordan - von Neumann constants and the normal structure coefficient of Banach spaces
  • 2000
  • Rapport (övrigt vetenskapligt/konstnärligt)abstract
    • Some relations between the James (or non-square) constant J(X) and the Jordan-von Neumann constant CNJ(X), and the normal structure coefficient N(X) of Banach spaces X are investigated. Relations between J(X) nad J(X*) are given as an answer to a problem of Gao and Lau[16). Connections between CNJ(X) and J(X) are also shown. The normal structure coefficient of a Banach space is estimated by CNJ(X) constant, which implies that a Banach space with CNJ(X)-constant less than 5/4 has the fixed point property.
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  • Resultat 1-10 av 90

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