asymptotically

[ as-im-tot-ik-lee ]

adverb

1. Mathematics. in the way that the graph of a function approaches an asymptote, a straight line representing the limit of the function as one of its variables grows to infinity:

   This curve has a characteristic bell shape, high in the center but asymptotically approaching zero to form a tail on either side.

2. in an asymptotic way; in such a way as to approach a given value, point, level, etc., continuously without ever reaching it:

   He applies similar reasoning to the problem of the moral perfectibility of humankind, which he believes can only happen asymptotically over time.

Word History and Origins

Origin of asymptotically¹

First recorded in 1670–80; asymptotic ( def ) + -ally ( def )

Example Sentences

These findings would fit with the possibility that people who wear masks are more likely to experience asymptotic infections that cause them to produce antibodies without becoming sick.

From Popular-Science

The difference of the temperatures only tends asymptotically toward zero.

From Project Gutenberg

B and I drag out dressing for thirty minutes; then we just sit while Time crawls asymptotically towards the hour.

From Project Gutenberg

The theory is not a thing complete from the first, but a thing which grows, as it were asymptotically, towards certainty.

From Project Gutenberg