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Glite Dictionary
asymptotic

asymptotic

1 9.9
Getting closer to a line or value but never reaching it
  • adjective
  • /ˌæsɪmˈtoʊtɪk/
  • Specialized
: asintótico
  • "The discovery of charmonium was a huge psychological boost for asymptotic freedom," recalls Wilczek.
  • asymptotic freedom
  • asymptotic performance
  • asymptotic stability

So that said, you popularize the asymptotic notation for describing running time.

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Examples

  • "But they yield highly nontrivial information about the asymptotic behavior of the theory."

    Academic text (2004)

  • Well, in that regard, asymptotic freedom is a tremendous blessing because it means things get simpler at high energy.

    Lex Fridman

  • This is the asymptotic behavior of B.

  • However rapidly it grew in the past, the asymptotic threshold remains the same.

    Fiction book (1990)

  • The result may eventually, over even longer timescales, be a transition to a new asymptotic state.

    Academic text (2008)

  • Despite this limitation, one may still perform an asymptotic analysis for the omitted formula.

    Academic text (2018)

  • In terms of intercorrelational patterns, the asymptotic analysis of correlational patterns revealed significant differences between ability groups.

    Academic text (1992)

  • Black hole properties, such as horizon structure, Hawking temperature, Bekenstein-Hawking entropy, as well as asymptotic properties, are discussed in detail.

    Academic text (2018)

  • Normal-hearing subjects were trained to asymptotic performance in identifying consonants in multiple-token sets of CV syllables.

    Academic text (1991)

  • In mathematics, the graph of a function often shows asymptotic behavior as it approaches a specific value.

Surface Forms

asymptotic positive

Morphology

asymptotic = asymptote (transparent) = asymptote + ic

Formed by the productive adjectival suffix '-ic' attached to the noun 'asymptote', so the adjective clearly means 'relating to or resembling an asymptote'.

Etymology

Asymptotic comes from Greek parts a- 'not' and sym- 'together', so it literally means 'not coming together'. That's why in math something asymptotic gets closer and closer to a line or value but never actually meets it.