Search Result for "multiple integral":
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The Collaborative International Dictionary of English v.0.48: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.]
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1. The act or process of making whole or entire.
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2. (Math.) The operation of finding the primitive function
which has a given function for its differential
coefficient. See Integral.
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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.
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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.
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