In mathematics, the elements of a set A may be indexed or labeled by means of a set J that is on that account called an index set. The indexing consists of a surjective function from J onto A and the indexed collection is typically called an (indexed) family, often written as (Aj)j∈J.
In computational complexity theory and cryptography, an index set is a set for which there exists an algorithm I that can sample the set efficiently; i.e., on input 1n, I can efficiently select a poly(n)-bit long element from the set.
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Famous quotes containing the words index and/or set:
“Exile as a mode of genius no longer exists; in place of Joyce we have the fragments of work appearing in Index on Censorship.”
—Nadine Gordimer (b. 1923)
“One reason writers write is out of revenge. Life hurts; certain ideas and experiences hurt; one wants to clarify, to set out illuminations, to replay the old bad scenes and get the Treppenworte said—the words one didn’t have the strength or ripeness to say when those words were necessary for one’s dignity or survival.”
—Cynthia Ozick (b. 1928)