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asymptotically

asymptotically

1 9.8
Getting closer to a certain value over time without reaching it
  • adverb
  • /ˌæsɪmˈtoʊtɪkli/
  • Specialized
: asintóticamente
  • The series converges asymptotically, meaning it gets closer to the limit without actually attaining it.
  • approaching asymptotically
  • asymptotically stable
  • asymptotically approaches zero

Examples

  • There are physical laws that govern what's possible, and we are asymptotically approaching those limits.

    Blog text (2)
  • However, over the long run, the "cured" population, through relapse, like water seeking its own level, asymptotically approaches the low water mark.

    Academic text (1997)
  • F of N should be asymptotically positive.

  • In my view, the right thing is to demand that the fit become asymptotically accurate.

    Academic text (2001)
  • The origin is a globally asymptotically stable node for the system.

    Academic text (2010)
  • At very high deal prices, the deal protections in HIG-Comverge would asymptotically approach 31.3% of deal value.

    Academic text (2017)
  • QCD has been tested in higher energy regimes where quarks are asymptotically free and perturbative calculations are feasible.

    Academic text (1993)
  • In mathematics, the function will asymptotically approach its maximum value, never quite reaching it.

  • As the temperature increases, the reaction rate will asymptotically approach that of an ideal gas.

Synonyms

convergently
vsasymptotically
  • Specialized
7.5

In a way that gets closer to a single value over time

approaches a value or line more closely without actually reaching it

Surface Forms

asymptotically positive

Morphology

asymptotically = asymptotic (semi-transparent) = a + symptot + ic + ally

The meaning is derived from 'asymptotic', which is a specialized mathematical term.

Etymology

The word asymptotically comes from the parts a- meaning 'not' and sym- meaning 'together', the same sym- you see in synchronize. So it means 'in a way that gets closer and closer to a line or value but never reaches it', which is how we use it in math and science.