Essential Information & explanations, latest texts & monographs on
Derivation_.
Devious Derivations by Hugh Rawson
Derivation and Explanation in the Minimalist Program (Generative Syntax, 6) by Samuel David Epstein
Plant Names Simplified: Their Pronunciation, Derivation and Meaning by Arthur T. Johnson
Webster's Dictionary: Pronunciations, Derivations, Parts of Speech, Syllabized, Clear Type, Indexed, Modern Definitions by John Gage Allee
The Quintessential Quiz Book: Being a Compendium of Curious Words, Derivations, Literary Allusions, and Little-Known Oddities of Fact and Fiction by Norman G. Hickman
Calculi for Derivations and Deductions by Walter Felscher
Simple Theorems, Proofs, and Derivations in Quantum Chemistry by Istvan Mayer
Devious Derivations : Popular Misconceptions -- And More Than 1,000 True Origins of Common Words and Phrases by Hugh Rawson
Logical Derivation of Computer Programs by Thomas G. Windeknecht
Derivation and Computation : Taking the Curry-Howard correspondence seriously by H. Simmons
Program Derivation: The Development of Programs from Specifications (International Computer Science Series) by Geoff Dromey
Logical Form: Its Structure and Derivation (Linguistic Inquiry Monographs) by Robert May
Derivations and Constraints in Phonology by Iggy Roca
Devious Derivations : Popular Misconceptions--and More than 1,000 True Origins of Common Words andPhrases by Hugh Rawson
Saint Francis: Nature Mystic - The Derivation and Significance of the Nature Stories in the Franciscan Legend by Edward A. Armstrong
Derivation
In abstract algebra, a derivation on an associative algebra A over a field k is a linear map D:A→A that satisfies Leibniz' law:
D(ab) = (Da)b + a(Db).
Examples of derivations are partial derivatives, Lie derivatives, the Pincherle derivative, and the commutator with respect to an element of the algebra. All these examples are tightly related, with the concept of derivation as the major unifying theme.
See also: Kähler differential
Derivation may also be used as a synonym for proof, particularly for formulae.
In music using the twelve tone technique see derived row, where a tone row whose entirety of twelve tones is constructed from a segment or portion of the whole, the generator.
The above article is adapted from from Wikipedia All Wikipedia article text is available under the terms of the GNU Free Documentation License
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