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单词 asymptotically equal
释义

asymptotically equal

Two functions f(x) and g(x) are asymptotically equal if f(x)/g(x) has limit 1 as x tends to ∞, written f(x) ∼ g(x). For example (x + 1)3(x + 2)4 ∼ x7. Being asymptotically equal implies something about the relative size of two functions and does not imply they are approximately equal; in the example, the difference between (x + 1)3(x + 2)4 and x7 becomes arbitrarily large as x increases. See big o notation, little o notation.

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更新时间:2025/4/29 7:40:18