Quizzes for review
When analyzing the sequence (a_n), the lower limit is obtained by taking the supremum of the infima of its tail subsequences.
See correct answer
When analyzing the sequence (a_n), the lower limit is obtained by taking the supremum of the infima of its tail subsequences.
音声機能が動作しない場合はこちらをご確認ください
Related words
lower limit
Noun
(mathematical
analysis)
The
lower
limit
of
a
sequence
of
real
numbers
is
the
real
number
which
can
be
found
as
follows:
remove
the
first
term
of
the
sequence
in
order
to
obtain
the
"first
subsequence."
Then
remove
the
first
term
of
the
first
subsequence
in
order
to
obtain
the
"second
subsequence."
Repeat
the
removal
of
first
terms
in
order
to
obtain
a
"third
subsequence,"
"fourth
subsequence,"
etc.
Find
the
infimum
of
each
of
these
subsequences,
then
find
the
supremum
of
all
of
these
infimums.
This
supremum
is
the
lower
limit.
Japanese Meaning
数学解析において、実数列の各部分列（先頭の項を順次取り除いて得られる各部分列）の下限の集合の上限として定義される値。つまり、その数列の「下極限」または「リミット・ロウアー」として知られる概念です。
Related Words
English - English
Word Edit Setting
- Users who have edit permission for words - All Users
- Screen new word creation
- Screen word edits
- Screen word deletion
- Screen the creation of new headword that may be duplicates
- Screen changing entry name
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Sentence Edit Setting
- Users who have edit permission for sentences - All Users
- Screen sentence deletion
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Quiz Edit Setting
- Users who have edit permission for quizzes - All Users
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
