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Department of Mathematics | University of Michigan | 2074 East Hall | 530 Church Street | Ann Arbor, MI 48109-1043

\[\mathrm{Hom}_R(\mathrm{Ext}_R^{d-i}(M,\omega_R),E_R(R/\mathfrak{m}))\cong \mathrm{H}^i_{\mathfrak{m}}(M)\] "When obliged to clean birds, collectors will find it an advantage to use salt and water instead of plain water. The salt prevents the solution of the blood-globules and consequent diffusion of the red haemoglobin."
J. Jeffries, Science, 1883