# derivation

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## derivation,

in grammar: see inflectioninflection,
in grammar. In many languages, words or parts of words are arranged in formally similar sets consisting of a root, or base, and various affixes. Thus walking, walks, walker have in common the root walk and the affixes -ing, -s, and -er.
.

## derivation

[‚der·ə′vā·shən]
(mathematics)
The process of deducing a formula.
A function D on an algebra which satisfies the equation D (uv) = uD (v) + vD (u).

## derivation

a. the process of deducing a mathematical theorem, formula, etc., as a necessary consequence of a set of accepted statements
b. this sequence of statements
c. the operation of finding a derivative
References in periodicals archive ?
Keywords: formal languages, propagating scattered context grammars, leftmost derivations, generative power
Auden said one of his dearest ambitions was to be cited in the OED as the coiner of a word.) The longest OED entry for a Tolkien coinage--and, to the authors, the one enduring mystery--is for the word hobbit itself, for which Tolkien contributed an elaborate imaginary derivation while admitting that he thought he had made the word up but wasn't quite sure.
The numerical results obtained were everywhere finite, free of singularities, and confirmed the well-known prediction that [u.sub.RS.sup.(p)] and [u.sub.RS.sup.(s)] reproduce the boundary values assumed in their derivation ([partial derivative][u.sub.RS.sup.(p)]/[partial derivative]z [right arrow] ik and [u.sub.RS.sup.(s)] [right arrow] 1 as z [right arrow] 0) but not the compatible values ([u.sub.RS.sup.(p)] [right arrow] 1 and [u.sub.RS.sup.(s)]/[partial derivative]z [right arrow] ik) which are implied in the classical postulate that the aperture field is the same as the unperturbed geometrical field incident on the screen.
Additional improvements include new sample data that represent popular Web log formats, more complicated field derivations and new methods for dealing with returning customers.
As with Mrs and Miss in their time as derivations of mistress, common usage has now established Ms as equally acceptable.
Not all of these derivations are grammatical, a fact that has often been related to the inherent temporal properties (the "Aktionsart") of the base verb.
From Definition 4.1 and the semantics of the operators introduced in Section 4.1, we now specify the actual tuple derivations for each of our operators.
However, in spite of the central role attributed by Kastovsky to strong verbs, the scope of his work does not include weak verbs based on strong verbs, and excludes non-verbal derivations, as Pilch also does.
(6) As one anonymous reviewer has pointed out, not all aspects of generative semantics are necessarily desirable; in particular, its derivations typically resulted in syntactic trees that were overly large and cumbersome (see for instance the (in)famous representation to the sentence Floyd broke the glass by George Lakoff and Haj Ross, moderately elided in Harris (1993: 214)).
Shatry, Characterization of higher derivations on Banach algebras, to appear.

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