- In mathematics, the
qualifier pointwise is used to
indicate that a
certain property is
defined by
considering each
value f ( x ) {\displaystyle f(x)}...
- In mathematics,
pointwise convergence is one of
various senses in
which a
sequence of
functions can
converge to a
particular function. It is
weaker than...
-
uniform convergence is a mode of
convergence of
functions stronger than
pointwise convergence. A
sequence of
functions ( f n ) {\displaystyle (f_{n})} converges...
- In statistics,
probability theory and
information theory,
pointwise mutual information (PMI), or
point mutual information, is a
measure of ****ociation...
-
operators (and thus
bounded operators)
whose domain is a
Banach space,
pointwise boundedness is
equivalent to
uniform boundedness in
operator norm. The...
- {\displaystyle (S,\Sigma ,\mu )} .
Suppose that the
sequence converges pointwise to a
function f {\displaystyle f} i.e. lim n → ∞ f n ( x ) = f ( x ) {\displaystyle...
- set X into a
vector space has a
natural vector space structure given by
pointwise addition and
scalar multiplication. In
other scenarios, the
function space...
-
equicontinuous and
converges pointwise to a
function (not
necessarily continuous a-priori). In particular, the
limit of an
equicontinuous pointwise convergent sequence...
-
provides an
analogous example showing that
polyhedral surfaces that
converge pointwise to a
curved surface do not
necessarily converge to its area, even when...
- to occur.
Determination of
convergence requires the
comprehension of
pointwise convergence,
uniform convergence,
absolute convergence, Lp spaces, summability...
