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The most famous suppressed book in computer history * Used as an Operating System textbook at MIT"After 20 years, this is still the best expostion of the workings of a 'real' operating system." --- Ken Thompson (Developer of the UNIX operating system)After years of suppression (as trade secrets) by various owners of the UNIX code, this tome has been re-released, and we owe a debt to all involved in making this happen. I consider this to be the single most important book of 1996. Unix Review, June 1997"The Lions book," cherished by UNIX hackers and widely circulated as a photocopied bootleg...

1. We begin by giving a simple example of a partial differential inequality that occurs in an elementary physics problem. We consider a fluid with pressure u(x, t) at the point x at the instant t that 3 occupies a region Q oflR bounded by a membrane r of negligible thickness that, however, is semi-permeable, i. e., a membrane that permits the fluid to enter Q freely but that prevents all outflow of fluid. One can prove then (cf. the details in Chapter 1, Section 2.2.1) that au (aZu azu aZu) (1) in Q, t>o, -a - du = g du = -a z + -a z + -a z t Xl X X3 z l g a given function, with boundary...