catflap.org Online Dictionary Query

  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]

  Integration \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.

  multiple integral /mˌʌltɪpəl ˈɪntɪɡɹəl/
  mehrfaches Integral
   see: integral, definite integral, indefinite integral, antiderivative, antiderivative, Abelian integral, error integral, Gaussian integral