Real numbers/Nested intervals/Definition
Nested intervals
A sequence of closed intervals
in is called (a sequence of) nested intervals, if holds for all , and if the sequence of the lengths of the intervals, i.e.
converges to .
A sequence of closed intervals
in is called
(a sequence of)
nested intervals, if
holds for all
,
and if the sequence of the lengths of the intervals, i.e.
converges
to .