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    The limit of t1(n+1) / t2(n) as n approaches infinity equ... — Carmelics
    Home/Proof of definition segments
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    Supports→NTIME(t1(n)) is a proper subset of NTIME(t2(n)) when t2 grows sufficiently faster than t1
    Supports→NTIME(t1(n)) is a proper subset of NTIME(t2(n)) when t2(n) grows sufficiently faster than t1(n+1)

    The limit of t1(n+1) / t2(n) as n approaches infinity equals 0

    All sources support itProof of definition segments
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    Proof of definition segmentsAll sources support it

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    NTIME(t1(n)) is a proper subset of NTIME(t2(n)) when t2 grows sufficiently faste...NTIME(t1(n)) is a proper subset of NTIME(t2(n)) when t2(n) grows sufficiently fa...t1(n) and t2(n) are time constructiblet1(n) and t2(n) are time constructible functions

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    The limit of t1(n)log(t1(n)) / t2(n) as n approaches infinity equals 093%The limit of t1(n)*log(t1(n)) / t2(n) as n approaches infinity equals ...92%The limit of s1(n) / s2(n) as n approaches infinity equals 091%The Deterministic Time Hierarchy Theorem holds when the limit of t1(n)...82%

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    AI-extracted
    SEP: computational-complexity
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    2 Complexity classes and the hierarchy theorems Recall that a complexity class is a set of languages all of which can be decided within a given time or space complexity bound \(t(n)\) or \(s(n)\) with respect to a fixed model of computation. g. non-recursive ones) it is standard to restrict attention to complexity classes defined when \(t(n)\) and \(s(n)\) are time or space constructible. e. a string of \(n\) 1s) halts after exactly \(t(n)\) steps. Similarly, \(s(n)\) is said to be space constru

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