derivation

== English == === Etymology === From Middle English derivacioun, borrowed from Middle French dérivation, from Latin dērīvātiō, dērīvātiōnem. Morphologically derive +‎ -ation. === Pronunciation === IPA(key): /ˌdɛ.ɹɪˈveɪ.ʃ(ə)n/ Rhymes: -eɪʃən === Noun === derivation (countable and uncountable, plural derivations) A leading or drawing off of water from a stream or source. 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. (genealogy, linguistics) The act of tracing origin or descent; an instance thereof (for example, an etymology). (grammar) Forming a new word by changing the base of another word or by adding affixes to it. The state or method of being derived; the relation of origin when established or asserted. That from which a thing is derived. That which is derived; a derivative; the result of a deduction. The process of deriving one thing from another, especially in logic; a deduction. (mathematics) A formal proof: a sequence of statements, each of which is logically entailed by those preceding (with respect to some collection of rules of inference), the initial statements being taken as axioms. (mathematics, calculus) The process of application of the derivative operator to a function, yielding another function called the derived function of the first. (mathematics, differential algebra) An algebraic generalization of the derivative operator (from its natural setting in the ring of real-valued functions) to a general associative algebra over a field. Formally, (given an algebra A {\displaystyle A} over a field K {\displaystyle K} ) a K {\displaystyle K} -linear endomorphism that satisfies Leibnitz's Law. Any of several generalizations of this notion: a Hasse–Schmidt derivation, a graded derivation, etc. (medicine, historical) A drawing of humors or fluids from one part of the body to another, to relieve or lessen a morbid process. ==== Derived terms ==== ==== Related terms ==== derive derived derivative ==== Translations ==== ==== Further reading ==== “derivation”, in Webster’s Revised Unabridged Dictionary, Springfield, Mass.: G. & C. Merriam, 1913, →OCLC. === See also === derivation on Wikipedia.Wikipedia === Anagrams === ordinative == Danish == === Noun === derivation c (singular definite derivationen, plural indefinite derivationer) (grammar) derivation ==== Declension ==== === Further reading === “derivation” in Den Danske Ordbog