English Lexicon

Asymptotic

/ˌæs.ɪmˈtɒt.ɪk/
adjectiveCEFR C1 (Advanced)Top #28450 frequency
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Comprehensive Definitions & Senses

2 senses
As adjective
  1. 1

    Relating to or being an asymptote; approaching a given curve or quantity arbitrarily closely as the independent variable tends to infinity.

    "The curve exhibits asymptotic behavior as x approaches zero."
  2. 2

    Approaching a specified value or state as a limit, often used in statistics, physics, and economics.

    "The system reaches an asymptotic state after a sufficiently long time."

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Antonyms & Contrasting Words (1)

Linguistic Origin & Historical Etymology

Derived from the modern Latin 'asymptoticus', originating from the Greek 'asymptōtos', meaning 'not falling together', formed from 'a-' (not) + 'syn-' (together) + 'ptōtos' (fallen). First appearing in mathematical contexts in the 17th century, it initially described lines that approach each other infinitely closely without ever intersecting.

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