I present quenched, lattice QCD calculations of the hadronic matrix elements
relevant for B^0_{d(s)}-\bar B^0_{d(s)} and K^0-\bar K^0 mixing and briefly
review the status of lattice predictions.Comment: 7 pages, 1 figure, epsfig, mymoriond (included). Invited talk given
at the XXXIVth Rencontres de Moriond: Electroweak Interactions and Unified
Theories, Les Arcs, France, 13-20 March 1999. v2: Typos in eqs. 1 and 2
corrected; more appropriate figure 1; other minor cosmetic changes; all
results untouched. v3: small changes in wordin