- best
approached with
subintervals of
equal size. The
interval [a, b] is
therefore divided into n {\displaystyle n}
subintervals, each of
length Δ x =...
- b ] {\displaystyle [a,b]} in
subintervals of
equal length. In practice, it is
often advantageous to use
subintervals of
different lengths and concentrate...
- two
equally sized subintervals.
Because each
sequence has
infinitely many members,
there must be (at least) one of
these subintervals that
contains infinitely...
- in the
interval [0, t], the
number of
observations in non-overlapping
subintervals being independent (see
Poisson process). The
number N of observations...
- endpoints, at the
points where two
subintervals touch, the
corresponding one-sided
derivatives of the two
neighboring subintervals coincide. Some
sources only...
-
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...
- b]} into some
number n {\displaystyle n} of
subintervals,
computing an
approximation for each
subinterval, then
adding up all the results. This is called...
-
equally sized subintervals each of
length 1 / n {\displaystyle 1/n} . We
denote a
partition of n {\displaystyle n}
equally sized subintervals as P n {\displaystyle...
- 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...
-
would not be
getting a good
approximation to the
function on
certain subintervals. In fact, this is
enough to
define an integral. To be specific, we say...
