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Normal Order


A function f(n) has the normal order F(n) if f(n) is approximately F(n) for almost all values of n. More precisely, if

 (1-epsilon)F(n)<f(n)<(1+epsilon)F(n)

for every positive epsilon and almost all values of n, then the normal order of f(n) is F(n).


See also

Almost All

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References

Hardy, G. H. and Wright, E. M. An Introduction to the Theory of Numbers, 5th ed. Oxford, England: Oxford University Press, p. 356, 1979.

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Normal Order

Cite this as:

Weisstein, Eric W. "Normal Order." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NormalOrder.html

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