最終更新日
：2024/08/01
μ-completion
noun
(mathematical
analysis)
A
σ-algebra
which
is
obtained
as
a
"completion"
of
a
given
σ-algebra,
which
includes
all
subsets
of
the
given
measure
space
which
simultaneously
contain
a
member
of
the
given
σ-algebra
and
are
contained
by
a
member
of
the
given
σ-algebra,
as
long
as
the
contained
and
containing
measurable
sets
have
the
same
measure,
in
which
case
the
subset
in
question
is
assigned
a
measure
equal
to
the
common
measure
of
its
contained
and
containing
measurable
sets
(so
the
measure
is
also
being
completed,
in
parallel
with
the
σ-algebra).
意味（1）
(mathematical
analysis)
A
σ-algebra
which
is
obtained
as
a
"completion"
of
a
given
σ-algebra,
which
includes
all
subsets
of
the
given
measure
space
which
simultaneously
contain
a
member
of
the
given
σ-algebra
and
are
contained
by
a
member
of
the
given
σ-algebra,
as
long
as
the
contained
and
containing
measurable
sets
have
the
same
measure,
in
which
case
the
subset
in
question
is
assigned
a
measure
equal
to
the
common
measure
of
its
contained
and
containing
measurable
sets
(so
the
measure
is
also
being
completed,
in
parallel
with
the
σ-algebra).
復習用の問題
(mathematical analysis) A σ-algebra which is obtained as a completion
of a given σ-algebra, which includes all subsets of the given measure space which simultaneously contain a member of the given σ-algebra and are contained by a member of the given σ-algebra, as long as the contained and containing measurable sets have the same measure, in which case the subset in question is assigned a measure equal to the common measure of its contained and containing measurable sets (so the measure is also being completed, in parallel with the σ-algebra).
正解を見る
μ-completion
正解を見る
The μ-completion of the task took longer than expected.
English Dictionary
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