Two functions on the natural numbers are asymptotically equivalent if their quotient tends to 1.
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These three methods are asymptotically equivalent.
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The function is said to be " asymptotically equivalent to as ?! " ", and this is written symbolically as.
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The self-consistency principle says that both forms must be asymptotically equivalent for energies or masses sufficiently high ( asymptotic limit ).
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Toom first described this algorithm in 1963, and Cook published an improved ( asymptotically equivalent ) algorithm in his PhD thesis in 1966.
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Also, the density of states and the mass spectrum must be asymptotically equivalent in the sense of the weak constraint proposed by Hagedorn as
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Under mild assumptions, the Herdan Heaps law is asymptotically equivalent to Zipf's law concerning the frequencies of individual words within a text.
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Bubble sort is asymptotically equivalent in running time to insertion sort in the worst case, but the two algorithms differ greatly in the number of swaps necessary.
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An asymptotically equivalent formula was given in Kenney and Keeping ( 1951 : 164 ), Rose and Smith ( 2002 : 264 ), and Weisstein ( n . d . ).
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:I don't know of a name, but it is perhaps worth noting that if the difference converges to 0 and each function is bounded away from zero in the asymptote then this already implies that the quotient tends to 1, and hence that the functions are asymptotically equivalent.
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