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for simplicity, consider the real number space

the distance between two points x, y (two reals) is [tex]|x - y|[/tex]

Is there a definition of distance between a point x and a subset of R, such as an interval (a, b)?

If there isn't any, how would you define it, such that there are some meaningful constructions?

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# What is the definition of distance between a point and a set of points?

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