Definition of asymptote in English:

asymptote

Pronunciation: /ˈasəm(p)ˌtōt/

noun

A line that continually approaches a given curve but does not meet it at any finite distance.
Example sentences
• In book two Apollonius investigates how hyperbolas are related to their asymptotes, and he also studies how to draw tangents to given conics.
• These models, which more closely resemble reality, involve one or two curves tending towards asymptotes.
• It simply means that, like a lot of science, absolute and mechanical objectivity is an asymptote we must always approach without quite reaching.

Derivatives

asymptotic

Pronunciation: /ˌasəm(p)ˈtädik/
Example sentences
• Other topics in the large range of applied mathematics topics which he studied were existence theorems and asymptotic expansions.
• He also worked on asymptotic analysis, fractional integration and singular partial differential equations.
• Gromov brought his geometric intuition to group theory and told us to look at the asymptotic properties of the Cayley graph.

asymptotically

Pronunciation: /-ik(ə)lē/
Example sentences
• These models are then compared using likelihood ratio tests, for which the test statistic asymptotically follows a distribution.
• The polynomial structures are unable to handle correlation patterns that decrease asymptotically to zero within the range of the data, and the correlation obtained by both models goes negative.
• As resource input rates decreased, this proportion increased asymptotically.

Origin

Mid 17th century: from modern Latin asymptota (linea) '(line) not meeting', from Greek asumptōtos 'not falling together', from a- 'not' + sun 'together' + ptōtos 'apt to fall' (from piptein 'to fall').

Syllabification: as·ymp·tote

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