Definitions for: Integration


[n] an operation used in the calculus whereby the integral of a function is determined
[n] the action of incorporating a racial or religious group into a community
[n] the act of combining into an integral whole; "a consolidation of two corporations"; "after their consolidation the two bills were passed unanimously"; "the defendants asked for a consolidation of the actions against them"



Webster (1913) Definition: In`te*gra"tion, n. [L. integratio a renewing,
restoring: cf. F. int['e]gration.]
1. The act or process of making whole or entire.

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

Note: The symbol of integration is [integral2l] (standing for
the Latin summa sum), and the integral is also regarded
as the limiting value of the sum of great numbers of
differentials, when the magnitude of the differentials
decreases, and their number increases indefinitely. See
Limit, n. When the summation is made between
specified values of the variable, the result is a
definite integral, and those values of the variable are
the limits of the integral. When the summation is made
successively for two or more variables, the result is a
multiple integral.

3. 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.

Synonyms: consolidation, desegregation, integrating

Antonyms: segregation, sequestration

See Also: amalgamation, centralisation, centralization, combination, combining, compounding, group action, horizontal combination, horizontal integration, incorporation, mathematical operation, mathematical process, merger, operation, uniting, vertical combination, vertical integration

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