Derivation vs. Integration — What's the Difference?

The act or process of deriving.

The act or process of integrating.

The state or fact of being derived; origination

The state of becoming integrated.

Something derived; a derivative.

The bringing of people of different racial or ethnic groups into unrestricted and equal association, as in society or an organization; desegregation.

The form or source from which something is derived; an origin.

(Psychology) The organization of the psychological or social traits and tendencies of a personality into a harmonious whole.

The historical origin and development of a word; an etymology.

(Mathematics) The process of computing an integral; the inverse of differentiation.

The process by which words are formed from existing words or bases by adding affixes, as singer from sing or undo from do, by changing the shape of the word or base, as song from sing, or by adding an affix and changing the pronunciation of the word or base, as electricity from electric.

(Electronics) The process of placing more than one integrated circuit on a single microchip.

In generative linguistics, the generation of a linguistic structure through an ordered or partially ordered series of operations on other structures, such as the creation of a surface structure from a deep structure, or of a complex word from its morphological components.

The act or process of making whole or entire.

The formal description of the process of such generation.

The process of combining with compatible elements in order to incorporate them.

Logic & Mathematics A logical or mathematical process indicating through a sequence of statements that a result such as a theorem or a formula necessarily follows from the initial assumptions.

(society) The process of fitting into a community, notably applied to minorities.

A leading or drawing off of water from a stream or source.

(US) racial integration.

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.

(calculus) The operation of finding the integral of a function.

The act of tracing origin or descent.

(biology) In evolution, the process by which the manifold is compacted into the relatively simple and permanent; supposed to alternate with differentiation as an agent in species' development.

(grammar) Forming a new word by changing the base of another word or by adding affixes to it.

The act or process of making whole or entire.

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

The operation of finding the primitive function which has a given function for its differential coefficient. See Integral.

That from which a thing is derived.

In the theory of evolution: The process by which the manifold is compacted into the relatively simple and permanent. It is supposed to alternate with differentiation as an agent in development.

That which is derived; a derivative; a deduction.

The action of incorporating a racial or religious group into a community

(mathematics) The operation of deducing one function from another according to a fixed definition, referred to as derivation or differentiation; this is the inverse operation to integration.

The act of combining into an integral whole;

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

An operation used in the calculus whereby the integral of a function is determined

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.

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

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; a deduction.

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.

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

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

The source from which something derives (i.e. comes or issues);

(historical linguistics) an explanation of the historical origins of a word or phrase

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

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

Inherited properties shared with others of your bloodline

Drawing of fluid or inflammation away from a diseased part of the body

Drawing off water from its main channel as for irrigation