(noun.) the quality of being difficult to do; 'he assigned a series of problems of increasing hardness'; 'the ruggedness of his exams caused half the class to fail'.
(noun.) a quality of water that contains dissolved mineral salts that prevent soap from lathering; 'the costs of reducing hardness depend on the relative amounts of calcium and magnesium compounds that are present'.
(noun.) the property of being rigid and resistant to pressure; not easily scratched; measured on Mohs scale.
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