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:
“It would seem as if the very language of our parlors would lose all its nerve and degenerate into palaver wholly, our lives pass at such remoteness from its symbols, and its metaphors and tropes are necessarily so far fetched.”
—Henry David Thoreau (1817–1862)