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What does asymptotically mean?

Looking for the meaning or definition of the word asymptotically? Here's what it means.

Adverb
  1. (analysis) In an asymptotical manner, in the way of an asymptote, toward an asymptote
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The statement that this function gets asymptotically closer to the actual number of primes as the numbers get bigger is known as the Prime Number Theorem.
The theory is not a thing complete from the first, but a thing which grows, as it were asymptotically, towards certainty.
As resource input rates decreased, this proportion increased asymptotically.
If the difference between the solutions approaches zero as x increases, the solution is called asymptotically stable.
These models are then compared using likelihood ratio tests, for which the test statistic asymptotically follows a distribution.
There seems to be some kind of law that requires presidential campaigns to become asymptotically more trivial as election day approaches.

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