A Survey of Numerical Mathematics
A Survey of Numerical Mathematics
Finite p-adic computing systems with possible applications.
Finite p-adic computing systems with possible applications.
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Since an automatic digital computer is a finite machine, it is capable of representing, internally, only a finite set of numbers. Thus, any attempt to use an automatic digital computer to do arithmetic in the field of real numbers (R, +, ·) is doomed to failure because R is an infinite set and most of the elements in R cannot be represented.