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Longman Dictionary of Contemporary English
derivation
noun
EXAMPLES FROM OTHER ENTRIES
▪ What is the derivation of the word "redshirt"?
EXAMPLES FROM CORPUS
▪ The derivation of a particular label is often quite obvious.
▪ The derivation of criteria and issues related to describing performance are outlined.
▪ The derivation of the curve in Fig. 3 is beyond the scope of this textbook.
▪ The derivation of these models from theories of early speech development is clear.
▪ The inductivist account requires the derivation of universal statements from singular statements by induction.
▪ The left-handed side of the figure refers to the derivation of scientific laws and theories from observation that we have already discussed.
▪ The theoretical derivation is based on a lattice treatment.
▪ To determine the derivation of a sentence it is necessary to use a parsing algorithm.
The Collaborative International Dictionary
Derivation

Derivation \Der`i*va"tion\, n. [L. derivatio: cf. F. d['e]rivation. See Derive.]

  1. A leading or drawing off of water from a stream or source. [Obs.]
    --T. Burnet.

  2. The act of receiving anything from a source; the act of procuring an effect from a cause, means, or condition, as profits from capital, conclusions or opinions from evidence.

    As touching traditional communication, . . . I do not doubt but many of those truths have had the help of that derivation.
    --Sir M. Hale.

  3. The act of tracing origin or descent, as in grammar or genealogy; as, the derivation of a word from an Aryan root.

  4. The state or method of being derived; the relation of origin when established or asserted.

  5. That from which a thing is derived.

  6. That which is derived; a derivative; a deduction.

    From the Euphrates into an artificial derivation of that river.
    --Gibbon.

  7. (Math.) The operation of deducing one function from another according to some fixed law, called the law of derivation, as the operation of differentiation or of integration.

  8. (Med.) A drawing of humors or fluids from one part of the body to another, to relieve or lessen a morbid process.

  9. The formation of a word from its more original or radical elements; also, a statement of the origin and history of a word.

Douglas Harper's Etymology Dictionary
derivation

early 15c., from Middle French dérivation (14c.), from Latin derivationem (nominative derivatio) "a leading off, turning away," noun of action from past participle stem of derivare (see derive). Grammatical sense is older; general meaning "origination, descent" is from c.1600.

Wiktionary
derivation

n. 1 A leading or drawing off of water from a stream or source. 2 The act of receiving anything from a source; the act of procuring an effect from a cause, means, or condition, as profits from capital, conclusions or opinions from evidence. 3 The act of tracing origin or descent, as in grammar or genealogy; as, the derivation of a word from an Indo-European root. 4 The state or method of being derived; the relation of origin when established or asserted. 5 That from which a thing is derived. 6 That which is derived; a derivative; a deduction. 7 (context mathematics English) The operation of deducing one function from another according to some fixed law, called the law of derivation, as the of differentiation or of integration. 8 (context medicine English) A drawing of humors or fluids from one part of the body to another, to relieve or lessen a morbid process.

WordNet
derivation
  1. n. the source from which something derives (i.e. comes or issues); "he prefers shoes of Italian derivation"

  2. (historical linguistics) an explanation of the historical origins of a word or phrase [syn: deriving, etymologizing]

  3. a line of reasoning that shows how a conclusion follows logically from accepted propositions

  4. (descriptive linguistics) the process whereby new words are formed from existing words or bases by affixation: `singer' from `sing'; `undo' from `do'

  5. inherited properties shared with others of your bloodline [syn: ancestry, lineage, filiation]

  6. drawing of fluid or inflammation away from a diseased part of the body

  7. drawing off water from its main channel as for irrigation

Wikipedia
Derivation

Derivation may refer to:

  • Derivation (abstract algebra), a unary function satisfying the Leibniz product law
  • Derivation (linguistics)
  • Formal proof or derivation, a sequence of sentences each of which is an axiom or follows from the preceding sentences in the sequence by a rule of inference
  • Parse tree or concrete syntax tree, a tree that represents the syntactic structure of a string according to some formal grammar
  • The creation of a derived row, in the twelve-tone musical technique
  • An after-the-fact justification for an action, in the work of sociologist Vilfredo Pareto
  • Derivative work, a concept in United States copyright law
Derivation (differential algebra)

In mathematics, a derivation is a function on an algebra which generalizes certain features of the derivative operator. Specifically, given an algebra A over a ring or a field K, a K-derivation is a K- linear map that satisfies Leibniz's law:


D(ab) = D(a)b + aD(b).

More generally, if M is an A- bimodule, a K-linear map that satisfies the Leibniz law is also called a derivation. The collection of all K-derivations of A to itself is denoted by Der(A). The collection of K-derivations of A into an A-module M is denoted by .

Derivations occur in many different contexts in diverse areas of mathematics. The partial derivative with respect to a variable is an R-derivation on the algebra of real-valued differentiable functions on R. The Lie derivative with respect to a vector field is an R-derivation on the algebra of differentiable functions on a differentiable manifold; more generally it is a derivation on the tensor algebra of a manifold. The Pincherle derivative is an example of a derivation in abstract algebra. If the algebra A is noncommutative, then the commutator with respect to an element of the algebra A defines a linear endomorphism of A to itself, which is a derivation over K. An algebra A equipped with a distinguished derivation d forms a differential algebra, and is itself a significant object of study in areas such as differential Galois theory.

Usage examples of "derivation".

But even admitting this derivation from a unity--a unity however not predicated of them in respect of their essential being--there is, surely, no reason why each of these Existents, distinct in character from every other, should not in itself stand as a separate genus.

The order of wealth and die order of natural beings are established and revealed in so far as there are established between objects of need, and between visible individuals, systems of signs which make possible the designation of representations one by another, the derivation of signifying representations in relation to those signified, the articulation of what is represented, and the attribution of certain representations to certain others.

JUDAISM so largely supplied the circumstantial and doctrinal germs out of which dogmatic Christianity grew, that we cannot thoroughly understand the Christian belief in a final day of judgment, unless we first notice the historic and literary derivation of that belief from Judaism, and then trace its development in the new conditions through which it passed.

Both are engendered, in the sense that they have had a beginning, but unengendered in that this beginning is not in Time: they have a derived being but by an eternal derivation: they are not, like the Kosmos, always in process but, in the character of the Supernal, have their Being permanently.

Or who shall discover why derivation becomes degeneration, and where and when and how the bastardy befalls?

Some formidable dangers of division arising from the double derivation of the episcopate were happily averted by the tact and statesmanship of Bishop White, and liturgical changes incidental to the reconstitution of the church were made, on the whole with cautious judgment and good taste, and successfully introduced.

Yet from the explanatory considerations which have been set forth we can understand the derivation of the multifarious swarm of notions afloat in the world, as the fifteen hundred varieties of apple now known have all been derived from the solitary white crab.

At the same time it forbids the use of this equation for a logical derivation of the parallelogram of forces from that of pure velocities.

It may be added that, as the genus represents ancestral derivation, the predication of genus in a definition indicates the remote causes of the phenomena denoted by the name defined.

Although Rochelle adapted English idioms to Agro, the language itself followed a form patterned after languages of Latin derivation.

I accept without hesitation the derivation of this word, proposed and defended by that accomplished Algonkin scholar, the Rev.

But since we hold the eternal existence of the Universe, the utter absence of a beginning to it, we are forced, in sound and sequent reasoning, to explain the providence ruling in the Universe as a universal consonance with the divine Intelligence to which the Kosmos is subsequent not in time but in the fact of derivation, in the fact that the Divine Intelligence, preceding it in Kind, is its cause as being the Archetype and Model which it merely images, the primal by which, from all eternity, it has its existence and subsistence.

The jewels, like the vortices of light, the outre cities inside volcanoes, hidden valleys, other dimensions, the monsterlike aliens with an aspect of benevolence, are all of obvious derivation.

It was only then that Zephyr realized - with her sketchy knowledge of the roots of the Greek-based Citizen Classnames - that of course Strategos was a blend-word, the old name for a general, now carrying the new weight of later derivations: strategic adviser, battle tactician, master planner.

Like much else, the derivation of the colloquial name for any form of portable storage was lost in the mists of technological antiquity.