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:
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Famous quotes containing the word intervals:
“We say that every man is entitled to be valued by his best moment. We measure our friends so. We know, they have intervals of folly, whereof we take no heed, but wait the reappearings of the genius, which are sure and beautiful.”
—Ralph Waldo Emerson (1803–1882)