- exists. If the
supremum of S{\displaystyle S} exists, it is unique, and if b is an
upper bound of S{\displaystyle S}, then the
supremum of S{\displaystyle...
-
concepts of
essential infimum and
essential supremum are
related to the
notions of
infimum and
supremum, but
adapted to
measure theory and functional...
-
lower limit, or
inner limit;
limit superior is also
known as
supremum limit,
limit supremum, limsup,
superior limit,
upper limit, or
outer limit. The limit...
- \right\}.} This norm is also
called the
supremum norm, the
Chebyshev norm, the
infinity norm, or, when the
supremum is in fact the maximum, the max norm...
-
sequence is
increasing and
bounded above by a
supremum, then the
sequence will
converge to the
supremum; in the same way, if a
sequence is decreasing...
- S{\displaystyle S} of a
partially ordered set P{\displaystyle P} is the
supremum (least
upper bound) of S,{\displaystyle S,}
denoted ⋁S,{\textstyle \bigvee...
- mathematics, the least-upper-bound
property (sometimes
called completeness,
supremum property or l.u.b. property) is a
fundamental property of the real numbers...
- }} , the (real or complex)
vector space of
bounded sequences with the
supremum norm, and L ∞ = L ∞ ( X , Σ , μ ) {\displaystyle L^{\infty }=L^{\infty...
- K{\displaystyle K},
which in turn
implies that f{\displaystyle f}
attains its
supremum and
infimum on any (nonempty)
compact set K{\displaystyle K}. Thus, we...
-
Cyclostrema supremum is a
species of sea snail, a
marine gastropod mollusk in the
family Liotiidae. The
height of the s****
attains 1.5 mm and its diameter...