(of a function, series, formula, etc) approaching a given value or condition, as a variable or an expression containing a variable approaches a limit, usually infinity
Derived forms
asymptotically (ˌasympˈtotically)
adverb
asymptotic in American English
(ˌæsɪmˈtɑtɪk)
adjective Math
1.
of or pertaining to an asymptote
2. (of a function)
approaching a given value as an expression containing a variable tends to infinity
3. (of two functions)
so defined that their ratio approaches unity as the independent variable approaches a limit or infinity
4. (of a formula)
becoming increasingly exact as a variable approaches a limit, usually infinity
5.
coming into consideration as a variable approaches a limit, usually infinity
asymptotic property
asymptotic behavior
Also: asymptotical
Derived forms
asymptotically
adverb
Word origin
[1665–75; asymptote + -ic]This word is first recorded in the period 1665–75. Other words that entered Englishat around the same time include: diffraction, group, recessive, suite, wig-ic is a suffix forming adjectives from other parts of speech, occurring originally inGreek and Latin loanwords (metallic; poetic; archaic; public) and, on this model, used as an adjective-forming suffix with the particular senses“having some characteristics of” (opposed to the simple attributive use of the basenoun) (balletic; sophomoric); “in the style of” (Byronic; Miltonic); “pertaining to a family of peoples or languages” (Finnic; Semitic; Turkic)
Examples of 'asymptotic' in a sentence
asymptotic
To get technical, why choose to make your trend asymptotic to 100 per cent of the population?