asymptote

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It turns out that this sequence does not have a zero asymptote -- you have a roughly 28\% chance of living literally forever, genuinely never dying at all, even though your chance of dying in any given millennium is always non-zero.

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Definitions (8)

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  1. noun A line whose distance to a given curve tends to zero. An asymptote may or may not intersect its associated curve.

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Examples

  • It turns out that this sequence does not have a zero asymptote -- you have a roughly 28\% chance of living literally forever, genuinely never dying at all, even though your chance of dying in any given millennium is always non-zero. —  April's CR Diary
  • In that case, if you plot the number of record highs or lows on a graph, you'd get a line that falls gradually as time progresses toward an asymptote, which is mathematically expressed as 1/n, where n is the number of years in your data set. —  ScienceBlogs Channel : Life Science
  • With the stock market approaching the Y2K rollover like a hyperbola approaching its vertical asymptote, all talk of free software or open source as a political phenomenon falls by the wayside Maybe that's why, when LinuxWorld follows up its first two shows with a third LinuxWorld show in August, 2000, Stallman is conspicuously absent My second encounter with Stallman and his trademark gaze comes shortly after that third LinuxWorld show. —  Free as in Freedom: Richard Stallman's Crusade for Free Software
  • Little by little, the mountains will be worn down to a surface of less and less relief, approaching a plain as a hyperbola approaches its asymptote--a surface which W. M. Davis has called peneplain But where will the material thus worn go? —  Popular Science Monthly Oct, Nov, Dec, 1915 — Volume 86
  • Little by little, the mountains will be worn down to a surface of less and less relief, approaching a plain as a hyperbola approaches its asymptote -- a surface which W.M. Davis has called peneplain. —  Popular Science Monthly Oct, Nov, Dec, 1915 — Volume 86
 

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Etymologies (2)

Toggle American Heritage etymologies American Heritage Dictionary (1)

  1. Ultimately from Greek asumptōtos, not intersecting : a-, not; see a-1 + sumptōtos, intersecting (from sumpiptein, sumptō-, to converge : sun-, syn- + piptein, to fall; see pet- in Indo-European roots).

Toggle Century etymologies Century Dictionary (1)

  1. from Greek ἀσύμπτωτος, not close, not falling together, from - privative + σύν, together, + πτωτός, falling, apt to fall, from πίπτειν, fall; cf. συμπίπτειν, fall together, meet.
 

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/ˈæsɪmtoʊt/
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