A mathematical object is uniquely determined by a set of conditions if only one object with those conditions can exist. Example: A line is uniquely determined by two points. Given those two points, only one line can exist that passes through those points.
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Uniquely Determined. 2010-09-30. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/u/uniquelydetermined.html.
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