Imperfectly Separable Models , by Jon F. Claerbout

Textbooks, particularly those on partial differential equations and those on probability, are filled with separable models of reality. The real world contains many data bases which are roughly separable. But poor agreement between theory and practice can often be traced to sensitivity of results to departure from perfect separability. This paper describes the problem in general, shows an effective technique to deal with it, and then cites specific examples.


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