- 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...
-
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...
- two
equally sized subintervals.
Because each
sequence has
infinitely many members,
there must be (at least) one of
these subintervals that
contains infinitely...
-
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...
- {\displaystyle \lambda .}
Divide the
whole interval into n {\displaystyle n}
subintervals I 1 , … , I n {\displaystyle I_{1},\dots ,I_{n}} of
equal size, such...
- 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...
- b]} into some
number n {\displaystyle n} of
subintervals,
computing an
approximation for each
subinterval, then
adding up all the results. This is called...
-
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...
- is
approximated using static quadrature rules on
adaptively refined subintervals of the
region of integration. Generally,
adaptive algorithms are just...
