# 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.
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## 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 ?
5) The derivation in example (1) is analyzed by Thomas (2002: 413) as denoting an 'affiliation': the concept of the collocator ('wisdom') is affiliated with the concept of the base ('God').
In view of above results, it is natural to ask, what happen in cases: (1) F(x)G(y) - xy [member of] Z(R), (2) F(x)G(y) + xy [member of] Z(R), (3) d(x)F(y) - yx [member of] Z(R), (4) d(x)F(y) + yx [member of] Z(R) for all x,y in a square closed Lie ideal U of a prime ring R, where F and G are two generalized derivations of R associated to the derivations d and [delta] of R respectively.
Functional derivations add a semantically interpretable category function, such as Subject, Object, Locus and Manner.
bar] contain step-by-step derivations while subsequent entries abbreviate the derivations while making reference to similar procedures or steps in earlier entries.
1] (A, X) be the space of all continuous derivations from A into X and [B.
Al-Shehri, On left derivations of BCI-algebras, Soochow Journal of Mathematics, 33(2007), No.
Filippis, On derivations and commutativity in prime rings, Int.
Thus, derivations affect the aspect of a given verb.
Part I covers basic ideas of matrix theory and statistical decision theory, while Part II examines the estimators, their derivations, and the relationships between estimators from Bayesian and non-Bayesian perspectives.
Taking the opposite view, and despite the criteria for distinguishing inflection and derivation proposed by authors such as Stump (1998; Stump 2005), other authors, such as Bybee (1985), Shopen (1985) and Dressler (1989), among others, claim that there is continuity between inflection and derivation and, in a more radical stance, Beard (1995) and Beard and Volpe (2005) have put forward 44 universal grammatical functions that can be used for both for grammatical derivations (inflection) and lexical derivations (derivation).
Virkkunen proved that propagating scattered context grammars which use leftmost derivations are as powerful as context-sensitive grammars.
Suitable for use as a curriculum guide or a self-teaching text, The Automotive Aerodynamics Handbook distinguishes itself from others addressing the complex engineering nuances of air and fluid flow, drag, force, power, shapes, lift, stability, and airflow about wheels and cylinders by offering hard data in addition to mathematical derivations and abstract theory.

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