asymptote
A straight line which a curve approaches arbitrarily closely as it goes to infinityA straight line which a curve approaches arbitrarily closely as it goes to infinity. The limit of the curve; its tangent "at infinity".
» The exponential function has a horizontal asymptote.
Die Exponentialfunktion besitzt eine waagerechte Asymptote.
Meaning
2 sensesA straight line which a curve approaches arbitrarily closely as it goes to infinity. The limit of the curve; its tangent "at infinity".
Asymptote
асимпто́таasimptóta
a straight line that is the limiting value of a curve; can be considered as tangent at infinity
(broadly, figuratively)Anything which comes near to but never meets something else.
Examples
2 sentencesThe exponential function has a horizontal asymptote.
deDie Exponentialfunktion besitzt eine waagerechte Asymptote.
The graph of the cosecant function has vertical asymptotes.
deDer Graph der Kosekansfunktion besitzt vertikale Asymptoten.
Translations
8 languagesBy meaning 1
By meaning 1
Origin
circa 1650, from Ancient Greek ἀσύμπτωτη (asúmptōtē), the feminine of Apollonius Pergaeus'circa 1650, from Ancient Greek ἀσύμπτωτη (asúmptōtē), the feminine of Apollonius Pergaeus' (circa 200 BC) Ancient Greek adjective ἀσύμπτωτος (asúmptōtos, “not falling together”), from ἀ- (a-, “not”) + συν- (sun-, “together”) + πτωτός (ptōtós, “fallen”). See also a-, syn-, -ote.
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Forms
plural: asymptotes| Singular | asymptote |
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| Plural | asymptotes |
regular