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单词 Iff
释义

Iff

If and only if (i.e., Necessary and Sufficient). The terms ``Just If'' or ``Exactly When'' aresometimes used instead. iff is written symbolically as . iff is alsoequivalent to , together with , where the symbol denotes ``Implies.''


J. H. Conway believes that the word originated with P. Halmos and was transmitted through Kelley (1975). Halmos has stated,``To the best of my knowledge, I DID invent the silly thing, but I wouldn't swear to it in a court of law. So there--giveme credit for it anyway'' (Asimov 1997).

See also Equivalent, Exactly One, Implies, Necessary, Sufficient


References

Asimov, D. ``Iff.'' math-fun@cs.arizona.edu posting, Sept. 19, 1997.

Kelley, J. L. General Topology. New York: Springer-Verlag, 1975.


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