Derivation may refer to:
Language
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Morphological derivation
Morphological derivation, in linguistics, is the process of forming a new word from an existing word, often by adding a prefix or suffix, such as For example, ''unhappy'' and ''happiness'' derive from the root word ''happy.''
It is differenti ...
, a word-formation process
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Parse tree
A parse tree or parsing tree or derivation tree or concrete syntax tree is an ordered, rooted tree that represents the syntactic structure of a string according to some context-free grammar. The term ''parse tree'' itself is used primarily in comp ...
or concrete syntax tree, representing a string's syntax in formal grammars
Law
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Derivative work
In copyright law, a derivative work is an expressive creation that includes major copyrightable elements of an original, previously created first work (the underlying work). The derivative work becomes a second, separate work independent in fo ...
, in copyright law
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Derivation proceeding In United States patent law since the Leahy-Smith America Invents Act (AIA), a derivation proceeding is a trial proceeding under conducted at the Patent Trial and Appeal Board to determine whether (i) an inventor named in an earlier patent applica ...
, a proceeding in United States patent law
Music
* The creation of a
derived row
In music using the twelve-tone technique, derivation is the construction of a row through segments. A derived row is a tone row whose entirety of twelve tones is constructed from a segment or portion of the whole, the generator. Anton Webern often ...
, in the twelve-tone musical technique
Science and mathematics
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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 ...
, a unary function satisfying the Leibniz product law
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Formal proof
In logic and mathematics, a formal proof or derivation is a finite sequence of sentences (called well-formed formulas in the case of a formal language), each of which is an axiom, an assumption, or follows from the preceding sentences in the sequ ...
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
* An after-the-fact justification for an action, in the work of sociologist
Vilfredo Pareto
Vilfredo Federico Damaso Pareto ( , , , ; born Wilfried Fritz Pareto; 15 July 1848 – 19 August 1923) was an Italian polymath (civil engineer, sociologist, economist, political scientist, and philosopher). He made several important contrib ...
See also
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Derive (disambiguation)
Derive may refer to:
*Derive (computer algebra system), a commercial system made by Texas Instruments
* ''Dérive'' (magazine), an Austrian science magazine on urbanism
* Dérive, a psychogeographical concept
See also
*
*Derivation (disambiguatio ...
, for meanings of "derive" and "derived"
*
Derivative
In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value). Derivatives are a fundamental tool of calculus. ...
, in calculus
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Derivative (disambiguation)
The derivative of a function is the rate of change of the function's output relative to its input value.
Derivative may also refer to:
In mathematics and economics
*Brzozowski derivative in the theory of formal languages
*Formal derivative, an o ...
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{{disambiguation