-
contains X. An
interval I is a
subinterval of
interval J if I is a
subset of J. An
interval I is a
proper subinterval of J if I is a
proper subset of...
- best
approached with
subintervals of
equal size. The
interval [a, b] is
therefore divided into n {\displaystyle n}
subintervals, each of
length Δ x =...
- distributed, if the
proportion of
terms falling in a
subinterval is
proportional to the
length of that
subinterval. Such
sequences are
studied in
Diophantine approximation...
- two
equally sized subintervals.
Because each
sequence has
infinitely many members,
there must be (at least) one of
these subintervals that
contains infinitely...
-
point of I.
Every interval of the form [xi, xi + 1] is
referred to as a
subinterval of the
partition x.
Another partition Q of the
given interval [a, b]...
-
replacing these subintervals by ones with the left end
height of each piece, the
approximation one gets is too low: with
twelve such
subintervals the approximated...
- on each
subinterval. (When f is
discontinuous on a
subinterval,
there may not be a tag that
achieves the
infimum or
supremum on that
subinterval.) The Darboux...
-
small subinterval (of time,
space or otherwise). In the case of the
Poisson distribution, one ****umes that
there exists a
small enough subinterval for which...
-
subinterval depends only on the
length of the
subinterval. This
implies that the
probability of X I {\displaystyle X_{I}}
falling in any
subinterval [...
-
whose heights are the
supremum and infimum, respectively, of f in each
subinterval of the partition.
These ideas are made
precise below: A
partition of...
