recursive definition


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recursive definition

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From the recursive definition of [a.sub.l], we obtain the functional equation
In order to analyze the meaning of such recursive definitions of procedures, Scott developed what nowadays is known as domain theory (see [1, 2] account of the theory and, also, [3, 4] for recent applications to computer science).
In the August 1970 Word Ways, Dave Silverman observed that recursive definitions inevitably lead to the Chasing-one's-tail phenomenon.
Analyzing this statement in terms of the recursive definition yields the following result.
For example, (1) is a discrete recursive definition. There we have two subproblems to recursively deal with: D = 2; whose size is asymptotically 1/2 of the size of the original problem: [z.sub.1] = [z.sub.2] = 1/2, -1 [is less than or equal to] [s.sub.1,n] [is less than or equal to] 0, 0 [is less than or equal to] [s.sub.2,n] [is less than or equal to] 1; and there is exactly one call to each one: [w.sub.1] = [w.sub.2] = 1, [r.sub.1,n] = [r.sub.2,n] = 0.
(i) If an account of the common characteristics of the class of things that are artwork is to explain the sense or meaning of 'artwork', then the recursive definition does not do this.
He also defined a notion of continuum and formulated steps toward a recursive definition of spaces with a homogeneous dimension number.
Each instance definition is translated as a functional, abstracting over the recursive definition of the overloaded variable.
(4) Oppy denies that 'the content of the noton work of art can be captured in some sort of recursive definition which recapitulates the history of art'.
Derive an almost homomorphism from the recursive definition of [p.sub.1] (Section 4.1).
The well-foundedness of many recursive definitions is obvious enough to be verified automatically.
There is, of course, in Locke no idea of recursive definitions of truth (or of any other semantic feature), but Locke can, surely, be interpreted as trying to say what a term's having meaning consists in, which is a thoroughly modem ambition.

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