最終更新日：2024/08/01
(mathematical analysis, singular only, definite and countable) An integral which has more general application than that of the Riemann integral, because it allows the region of integration to be partitioned into not just intervals but any measurable sets for which the function to be integrated has a sufficiently narrow range. (Formal definitions can be found at PlanetMath).
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Lebesgue integral
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元となった辞書の項目
Lebesgue integral
noun
(mathematical
analysis,
singular
only,
definite
and
countable)
An
integral
which
has
more
general
application
than
that
of
the
Riemann
integral,
because
it
allows
the
region
of
integration
to
be
partitioned
into
not
just
intervals
but
any
measurable
sets
for
which
the
function
to
be
integrated
has
a
sufficiently
narrow
range.
(Formal
definitions
can
be
found
at
PlanetMath).
意味（1）
(mathematical
analysis,
singular
only,
definite
and
countable)
An
integral
which
has
more
general
application
than
that
of
the
Riemann
integral,
because
it
allows
the
region
of
integration
to
be
partitioned
into
not
just
intervals
but
any
measurable
sets
for
which
the
function
to
be
integrated
has
a
sufficiently
narrow
range.
(Formal
definitions
can
be
found
at
PlanetMath).
