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:

    Were it not for the corruption and viciousness of degenerate men, there would be no ... necessity that men should separate from this great and natural community, and by positive agreements combine into smaller and divided associations.
    John Locke (1632–1704)