検索結果- 英語 - 英語
検索内容:
lower limit
名詞
(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.
日本語の意味
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。
関連語
limit superior
関連語
limit inferior
関連語
limit points
credit limit
関連語
inverse limit
名詞
(algebra)
A
subset
of
the
Cartesian
product
of
all
the
members
of
an
inverse
system,
such
that
a
member
M
of
the
subset
is
a
sort
of
“cross
section”
of
the
inverse
system
(as
fiber
bundle)
induced
by
the
morphisms
of
it.
(If
i<j
in
the
indexing
poset
then
f_ij:A_j→A_i
in
the
inverse
system
and
if
a_i∈A_i,
a_j∈A_j
are
components
of
M
then
f_ij(a_j)=a_i).
日本語の意味
数学（特に代数学や位相数学）において、逆系（射影系）の各対象のデカルト積のうち、各成分がインデックスにおける順序関係に従って射（モルフィズム）により結び付けられ、あたかも断面（クロスセクション）のような性質を持つ部分集合を指す。
関連語
Hayflick limit
関連語
Karman Limit
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