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In mathematics, an asymptotic formula for a quantity (function or expression) depending on natural numbers, or on a variable taking real numbers as values, is a function of natural numbers, or of a real variable, whose values are nearly equal to the values of the former when both are evaluated for the same large values of the variable. An asymptotic formula for a quantity is a function which is asymptotically equivalent to the former. More generally, an asymptotic formula is "a statement of equality between two functions which is not a true equality but which means the ratio of the two functions approaches 1 as the variable approaches some value, usually infinity". ==Definition== Let ''P(n)'' be a quantity or function depending on ''n'' which is a natural number. A function ''F(n)'' of ''n'' is an asymptotic formula for ''P(n)'' if ''P(n)'' is asymptotically equivalent to ''F(n)'', that is, if : This is symbolically denoted by : 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「asymptotic formula」の詳細全文を読む スポンサード リンク
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