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asymptote

Line breaks: asymp|tote
Pronunciation: /ˈasɪm(p)təʊt
 
/

Definition of asymptote in English:

noun

A straight 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.

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').

Derivatives

asymptotic

1
Pronunciation: /ˌasɪm(p)ˈtɒtɪk/
adjective
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

2
Pronunciation: /asɪm(p)ˈtɒtɪk(ə)li/
adverb
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.

Definition of asymptote in:

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