asymptote
/ˈasɪm(p)təʊt
/noun
A straight line that continually approaches a given curve but does not meet it at any finite distance.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
/ adjective ...- 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
- 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').