(noun) the property of being big and strong. Synonyms: huskiness, toughness.
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Noun Definition 1
(noun) the quality of being topologically uneven. Example: "The ruggedness of the mountains."
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Noun Definition 2
(noun) the quality of being difficult to do. Synonyms: hardness. Examples: "He assigned a series of problems of increasing hardness." "The ruggedness of his exams caused half the class to fail."