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Recent progress in the measurement of relative distances to galaxies has beenquite substantial, and catalogs of 3000 galaxies with distances are soon tobecome available. The peculiar {\it velocity} field (deviations from Hubbleflow) derivable from these catalogs, when compared to the peculiar {\itgravity} field derived from all sky redshift surveys of galaxies such as the1.2Jy IRAS survey, leads to a unique and extremely powerful test of the densityparameter $\beta \equiv \Omega^{0.6}/b_I$, where $b_I$ is the possible linearbias of the IRAS selected galaxies relative to the mass fluctuations. We reviewthe status of these large scale flow measurements and present a new methodologyto describe the two fields by means of an expansion in a set of orthogonalizedfunctions describing a general potential flow to any chosen resolution. Theparameters of the flow can be estimated by minimization of the $\chi^2$describing the scatter of observed versus predicted linewidths from an inverseTully-Fisher relation. By this method one can intercompare the gravity andvelocity fields coefficient by coefficient, deriving a precise fit for thedensity parameter and an assessment of the degree of coherence between thefields. The present situation is transitory-- different analyses of the samedata are not yielding consistent results. Until this embarassment is untangled,estimates of $\beta$ should be taken with a large grain of salt.Comment: 10 pages, uuencoded compressed postscript file, including 2 figures.  also available from ftp://magicbean.berkeley.edu/pub/marc/lsflows.ps.

Indications of dark matter derived from large scale flows