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Using information on B-meson fragmentation functions from CERN LEP 1 and adopting the nonrelativistic QCD factorization formalism proposed by Bodwin, Braaten, and Lepage, we predict the transverse-momentum distribution of $J/\ensuremath{\psi}$ mesons originating from the inclusive decays of b hadrons produced in $p\overline{p}$ collisions at the Fermilab Tevatron. We determine the …