Euler integration was defined by Schanuel and subsequently explored by Rota, Chen, and Klain. The Euler integral of a
Function
(assumed to be piecewise-constant with finitely many discontinuities) is the sum of
over the finitely many discontinuities of . The -D Euler integral can be defined for classes of functions
. Euler integration is additive, so the Euler integral of equals the sum of the Euler integrals of
and .
See also Euler Measure
© 1996-9 Eric W. Weisstein
1999-05-25