What is the definition of a curve (in mathematics)? Give a MATHEMATICALLY SOUND definition.
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A curve is an object similar to a line, but that does not have to be straight. Intuitively, a curve may be thought of as the trace left by a moving point.
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In mathematics, a curve (also called a curved line in older texts) is an object similar to a line, but that does not have to be straight. ... This definition of a curve has been formalized in modern mathematics as: A curve is the image of a continuous function from an interval to a topological space.
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