検索結果- 英語 - 英語
検索内容:
cash limit
noun
direct limit
noun
(algebra)
A
set
of
equivalence
classes
which
partition
the
disjoint
union
of
the
members
of
a
direct
system;
each
equivalence
class
being
a
sort
of
“drainage
basin”
of
the
mappings
(of
the
morphisms)
of
the
direct
system,
if
these
are
analogically
considered
as
“rivers”.
(If
i<k,j<k
in
the
indexing
poset,
then
there
exist
f_ik:A_i→A_k
and
f_jk:A_j→A_k.
If
a_i∈A_i,a_j∈A_j
such
that
f_ik(a_i)=f_jk(a_j)
then
a_i∼a_j.
If
k
=
j
then
f_jj(a_j)=a_j,f_ij(a_i)=a_j.)
limit order
noun
blowdown limit
noun
upper limit
noun
(mathematical
analysis)
The
upper
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
supremum
of
each
of
these
subsequences,
then
find
the
infimum
of
all
of
these
supremums.
This
infimum
is
the
upper
limit.
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.
inverse limit
noun
(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).
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