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单词 Multiple Integral
释义

Multiple Integral

A repeated integral over variables


is called a multiple integral. An th order integral corresponds, in general, to an -D Volume (Content),with corresponding to an Area. In an indefinite multiple integral, the order in which the integrals are carriedout can be varied at will; for definite multiple integrals, care must be taken to correctly transform the limits if the orderis changed.

See also Integral, Monte Carlo Integration


References

Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. ``Multidimensional Integrals.'' §4.6 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 155-158, 1992.


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