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 ?
In [3], Ashraf and Rehman established that a prime ring R with a nonzero ideal I must be commutative, if R admits a nonzero derivation d satisfying d(xy) + xy [member of] Z(R) for all x,y [member of] I or d(xy) - xy [member of] Z(R) for all x,y [member of] I.
Erratum to: "Diagnostic importance of aVR derivation in exercise stress testing for interpreting of multivessel and proximal LAD disease-Cok damar ve proksimal LAD lezyonlarinin taninmasi icin yapilan egzersiz stres testinde aVR derivasyonunun tanisal onemi"
Each entry provides references to the commentaries where the example is found, an analytic paraphrase in Sanskrit with translations in French and English, a step-by-step derivation of the form, and explanatory notes in Sanskrit.
Now we give some examples and show some properties for a generalized f- derivation in lattices.
A well known result of Posner (19) states that for a non-zero derivation d of a prime ring R, if [[d(x), x], y] = 0 for all x, y [member of] R, then R is commutative.
In Estonian and Finnish research this kind of derivation (in addition to continuative and inchoative derivation) is called modifying derivation--seen typically as adding to the quality of action by modifying the semantics of the stem without changing its valence or subject-object relations (cf.
Intended for graduate students and professional statisticians, this text explains the connection between penalized splines and ridge-type estimators and their derivation by Bayesian and non-Bayesian (Frequentist) methods.
With regard to 'Knackered', I first made its acquaintance of its derivation, in 1951 when dragged from the bosom of my family and plunged into the hurly burly of military life.
The paper was ultimately retracted after an investigation revealed research conduct, but the derivation of the cell line was never fully resolved.
The risk categories were first defined with a derivation cohort of 1,498 patients, and then were confirmed by a separate validation cohort of 1,144 patients, Dr.
Designing this building in opposition to the ubiquitous white cube gallery, in an attempt to create a unique place for a unique collection, its architect, Hitoshi Abe, describes the derivation of its internal form as a specific response to the eight pieces of art that it contains.
This consensus is, in fact, irrelevant to the derivation of moral principles.