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Is something equivalent to or equivalent with something else?

Yes, to both. Both constructions are possible, although "equivalent to" is more common in the US. --EncycloPetey 14:59, 3 September 2008 (UTC)


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Rfv-sense: "Of two sets, having a one-to-one relationship". If "one-to-one relationship" means a bijection, I highly doubt this: equinumerous is more precise, and therefore usually used for this sense. If what is meant here is an isomorphism, then it seems more plausible, but this definition does not do justice to this meaning. I want to establish if this word is used in either meaning. Keφr 20:44, 21 October 2014 (UTC)

A Google Books search for "sets" "equivalent" turns up quite a few sources that appear to be using the word to mean "of equal cardinality" (i.e., equinumerous). I can add citations to the entry if you'd like. —Mr. Granger (talkcontribs) 20:54, 21 October 2014 (UTC)
I see. Though most of these hits seem to be definitions, and therefore mentions and not uses. I would prefer citing an actual mathematician using (not defining) this term in a paper. Keφr 06:27, 22 October 2014 (UTC)
Okay, I've added four citations, all of which are uses rather than mentions. More are available on Google Books. —Mr. Granger (talkcontribs) 12:28, 22 October 2014 (UTC)
They look fine to me. Speedy-passed/withdrawn. (Still a terrible term.) Keφr 17:01, 22 October 2014 (UTC)