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Concept
Lebesgue Integral
The
Lebesgue integral
extends the
concept of integration
to a
broader class of functions
by focusing on
measuring the range of the function
rather than the domain, allowing for the
integration of functions
with more
complex discontinuities
. It is particularly valuable in
real analysis
and
probability theory
, offering a robust framework for
convergence theorems
and
measure theory
.
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