Online Google Dictionary

asymptotic 中文解釋 wordnet sense Collocation Usage Collins Definition
  1. relating to or of the nature of an asymptote; "an asymptotic function"
  2. (Asymptotics) In computer science and applied mathematics, particularly the analysis of algorithms, asymptotic analysis is a method of describing limiting behavior. ...
  3. Of, relating to, or being an asymptote; (of lines) approaching ever nearer, but never crossing
  4. (asymptotics) A general term in mathematics referring to the properties of an object as key parameters such as the dimension, the non-linearities, or the length scale, become very large or very small.
  5. Concerning the rate at which a function grows, ignoring constant factors. For example, if an algorithm uses 3n+5 steps on inputs of size n, we say its running time is "asymptotically linear" - emphasizing that the linear dependence on n is what's important, not the 3 or the 5.
  6. Approaching indefinitely near, yet never meeting.
  7. Describing a reaction or activity that approaches, but never reaches, a given value - the asymptote.
  8. a straight line that continually approaches a given curve but does not meet it, but forms its limiting value
  9. in geometry and mathematics, a curve that approaches closer and closer, but never quite reaches, another curve or line.
  10. An asymptotic function gradually approaches a constant value (the ASYMPTOTE); after some period time the function is arbitrarily close to the constant.
  11. Refers to a curve that approaches the x or y axis but does not actually reach it until x or y equals infinity. The axis so approached is the asymptote. An example is the normal distribution curve. Sometimes one might hear it said that a statistical approaches normality
  12. Refers to a process by which something is always getting closer to something else but never reaches it. Seeking truth is considered by some to be an asymptotic process.