multiple integral

multiple integral
Integration In`te*gra"tion ([i^]n`t[-e]*gr[=a]"sh[u^]n), n. [L. integratio a renewing, restoring: cf. F. int['e]gration.] [1913 Webster] 1. The act or process of making whole or entire. [1913 Webster]

2. (Math.) The operation of finding the primitive function which has a given function for its differential coefficient. See {Integral}. [1913 Webster]

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}. [1913 Webster]

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. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • Multiple integral — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • multiple integral — Math. an integral in which the integrand involves a function of more than one variable and which requires for evaluation repetition of the integration process. [1835 45] * * * In calculus, the integral of a function of more than one variable. As… …   Universalium

  • multiple integral — Math. an integral in which the integrand involves a function of more than one variable and which requires for evaluation repetition of the integration process. [1835 45] …   Useful english dictionary

  • Integral (desambiguación) — Integral puede referirse a Signo (∫) con el que se indica la integración Signo de integración Integración indefinida Integral impropia Integral múltiple Integral de superficie Anexo:Integrales INTEGRAL, un observatorio orbital de rayos gamma… …   Wikipedia Español

  • Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

  • integral — integrality, n. integrally, adv. /in ti greuhl, in teg reuhl/, adj. 1. of, pertaining to, or belonging as a part of the whole; constituent or component: integral parts. 2. necessary to the completeness of the whole: This point is integral to his… …   Universalium

  • multiple — /mul teuh peuhl/, adj. 1. consisting of, having, or involving several or many individuals, parts, elements, relations, etc.; manifold. 2. Elect. a. (of circuits) arranged in parallel. b. (of a circuit or circuits) having a number of points at… …   Universalium

  • Múltiple — (Del lat. multiplus.) ► adjetivo 1 Que no es simple: ■ sufre una fractura múltiple en el fémur . SINÓNIMO complejo 2 Que es más de uno: ■ en la asamblea hubo opiniones múltiples. SINÓNIMO diverso variado …   Enciclopedia Universal

  • Integral ecology — is an emerging field that applies Ken Wilber s integral theory to environmental studies and ecological research. The field has been pioneered since the late 1990s by integral theorist Sean Esbjörn Hargens and environmental philosopher Michael E.… …   Wikipedia

  • Integral art — is can be variously defined as art that reaches across multiple quadrants and levels, that transcends and includes all limited forms, interpretations, or perspectives, as the belief that every human being is creative and that art is integral to… …   Wikipedia

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