i've seen the phrase "this theorem completely characterizes such & such" in a couple books, but i'm still not really sure what it means. it's usually used before/after the proof of a (i assume) major theorem, and a definition usually comes out as a result of the theorem. that isn't really all there is to it, right?(adsbygoogle = window.adsbygoogle || []).push({});

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# Completely characterizes ?

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