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We investigate the consequences of flat, dark-matter dominated cosmogonieswith hybrid isocurvature and adiabatic initial perturbations and withHarrison-Zel'dovich primordial spectrum normalised to the $COBE$-DMR two-yearmeasurements. We show that whilst the $COBE$-DMR data alone shows no preferencefor a specific admixture of these modes, acceptable combinations are stronglyconstrained by other observational data. Nevertheless, in some cases a suitablemixture of these modes still may be used in an attempt to avoid some of theobserved problems of purely adiabatic models. Specifically, we considercritical density, cold dark matter (CDM) and mixed dark matter (MDM) models.Comment: Two uuencoded compressed Postscript files containing (1) 19 pages  manuscript, (2) four figures (tarred together). Submitted to The  Astrophysical Journa

Flat Dark Matter--dominated Models with Hybrid Adiabatic Plus Isocurvature Initial Conditions