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In algebra, a purely inseparable extension of fields is an extension k ⊆ K of fields of characteristic p > 0 such that every element of K is a root of an equation of the form xq = a, with q a power of p and a in k. Purely inseparable extensions are sometimes called radicial extensions, which should not be confused with the similar-sounding but more general notion of radical extensions.
PROGRAMMING PARADIGM THAT TREATS ALL COMPUTATION AS THE EVALUATION OF MATHEMATICAL FUNCTIONS
Pure functional language; Functional purity; Purely functional language; Purely functional programming language; Pure functional programming; Pure functional
In computer science, purely functional programming usually designates a programming paradigm—a style of building the structure and elements of computer programs—that treats all computation as the evaluation of mathematical functions.
PROGRAMMING PARADIGM THAT TREATS ALL COMPUTATION AS THE EVALUATION OF MATHEMATICAL FUNCTIONS
Pure functional language; Functional purity; Purely functional language; Purely functional programming language; Pure functional programming; Pure functional
<language> A language that supports only {functional
programming} and does not allow functions to have
side-effects. Program execution consists of evaluation of
an expression and all subexpressions are {referentially
transparent}.
(2003-03-25)