Interval (mathematics) - Classification of Intervals

Classification of Intervals

The intervals of real numbers can be classified into eleven different types, listed below; where a and b are real numbers, with :

empty:
degenerate:
proper and bounded:
open:
closed:
left-closed, right-open:
left-open, right-closed:
left-bounded and right-unbounded:
left-open:
left-closed:
left-unbounded and right-bounded:
right-open:
right-closed:
unbounded at both ends:

Read more about this topic:  Interval (mathematics)

Famous quotes containing the word intervals:

    Unless the people can choose their leaders and rulers, and can revoke their choice at intervals long enough to test their measures by results, the government will be a tyranny exercised in the interests of whatever classes or castes or mobs or cliques have this choice.
    George Bernard Shaw (1856–1950)