- 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...
- In statistics,
probability theory and
information theory,
pointwise mutual information (PMI), or
point mutual information, is a
measure of ****ociation...
-
uniform convergence is a mode of
convergence of
functions stronger than
pointwise convergence. A
sequence of
functions ( f n ) {\displaystyle (f_{n})} converges...
-
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...
- kx\right)\end{aligned}}}
These limits hold
pointwise and in the
sense of distributions. In general, however,
pointwise convergence need not
imply distributional...
- In mathematics, the
lower envelope or
pointwise minimum of a
finite set of
functions is the
pointwise minimum of the functions, the
function whose value...
- 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...
-
these confidence intervals constitute a 95%
pointwise confidence band for f(x). In
mathematical terms, a
pointwise confidence band f ^ ( x ) ± w ( x ) {\displaystyle...
