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A simple procedure is presented which leads to a dramatic simplification inthe calculation of the relic density of stable particles in the Universe.Comment: 7 pages in LaTex, no figures; University of Michigan preprint  UM-TH-94-02 (February 1994). Changes: a coefficient in $b^0$ (Eq. 16)  corrected; added Acknowledgements and revised Note Added; plain LaTex only  (no need to use RevTex

Simple way of calculating the cosmological relic density