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Is there a real life example showing data that forms a relation is more useful than one that forms just a relation?

what real life scenario motivates the extra condition on relation so we have functions? Thank you.

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    All of physics? Classical mechanics, for example -- the trajectory of a system is a smooth function from $\mathbb{R}$ to $\mathbb{R}^{3n}$. You can't get physics with relations.2012-05-16

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