- [a,b]{\displaystyle [a,b]} in
subintervals of
equal length. In practice, it is
often advantageous to use
subintervals of
different lengths and concentrate...
- best
approached with
subintervals of
equal size. The
interval [a, b] is
therefore divided into n{\displaystyle n}
subintervals, each of
length Δx=b−an...
- two
equally sized subintervals.
Because each
sequence has
infinitely many members,
there must be (at least) one of
these subintervals that
contains infinitely...
-
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...
- endpoints, at the
points where two
subintervals touch, the
corresponding one-sided
derivatives of the two
neighboring subintervals coincide. In
applied mathematical...
-
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...
- in the
interval [0, t], the
number of
observations in non-overlapping
subintervals being independent (see
Poisson process). The
number N of observations...
- b]} into some
number n{\displaystyle n} of
subintervals,
computing an
approximation for each
subinterval, then
adding up all the results. This is called...
-
divided by n, the
number of
subintervals. For each
subinterval i = 1, 2, ..., n, let φi be the
midpoint of the
subinterval, and
construct a
sector with...
-
equally sized subintervals each of
length 1/n{\displaystyle 1/n}. We
denote a
partition of n{\displaystyle n}
equally sized subintervals as Pn{\displaystyle...
