derivation

noun derivations

1. countable, uncountable A leading or drawing off of water from a stream or source.
2. countable, uncountable 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. countable, uncountable The act of tracing origin or descent; an instance thereof (for example, an etymology). the derivation of a word from an Indo-European root
4. countable, uncountable Forming a new word by changing the base of another word or by adding affixes to it.
5. countable, uncountable The state or method of being derived; the relation of origin when established or asserted.
6. countable, uncountable That from which a thing is derived.
7. countable, uncountable That which is derived; a derivative; the result of a deduction. There were also letters to scientists and other scholars, pages of derivations of mathematics and physics formulae, and copious writings on alchemy and religion.
8. countable, uncountable The process of deriving one thing from another, especially in logic; a deduction.
9. countable, uncountable 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.
10. countable, uncountable The process of application of the derivative operator to a function, yielding another function called the derived function of the first.
11. countable, uncountable 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 over a field K) a K-linear endomorphism that satisfies Leibnitz's Law.
12. countable, uncountable Any of several generalizations of this notion: a Hasse–Schmidt derivation, a graded derivation, etc.
13. countable, historical, uncountable A drawing of humors or fluids from one part of the body to another, to relieve or lessen a morbid process.