Degeneracy (mathematics) - Degenerate Rectangle

Degenerate Rectangle

For any non-empty subset, there is a bounded, axis-aligned degenerate rectangle

where and are constant (with for all ). The number of degenerate sides of is the number of elements of the subset . Thus, there may be as few as one degenerate "side" or as many as (in which case reduces to a singleton point).

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Famous quotes containing the word degenerate:

    Our brave forefathers have exterminated all the Indians, and their degenerate children no longer dwell in garrisoned houses nor hear any war-whoop in their path.
    Henry David Thoreau (1817–1862)