Definitions for asymptotic
ˌæs ɪmˈtɒt ɪkas·ymp·tot·ic

Princeton's WordNetRate this definition:0.0 / 0 votes

1. asymptoticadjective

   relating to or of the nature of an asymptote

   "an asymptotic function"

WiktionaryRate this definition:0.0 / 0 votes

1. asymptoticadjective

   Of, relating to, or being an asymptote; approaching ever nearer, but never crossing.

WikipediaRate this definition:0.0 / 0 votes

1. asymptotic

   In analytic geometry, an asymptote () of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity. In projective geometry and related contexts, an asymptote of a curve is a line which is tangent to the curve at a point at infinity.The word asymptote is derived from the Greek ἀσύμπτωτος (asumptōtos) which means "not falling together", from ἀ priv. + σύν "together" + πτωτ-ός "fallen". The term was introduced by Apollonius of Perga in his work on conic sections, but in contrast to its modern meaning, he used it to mean any line that does not intersect the given curve.There are three kinds of asymptotes: horizontal, vertical and oblique. For curves given by the graph of a function y = ƒ(x), horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to +∞ or −∞. Vertical asymptotes are vertical lines near which the function grows without bound. An oblique asymptote has a slope that is non-zero but finite, such that the graph of the function approaches it as x tends to +∞ or −∞. More generally, one curve is a curvilinear asymptote of another (as opposed to a linear asymptote) if the distance between the two curves tends to zero as they tend to infinity, although the term asymptote by itself is usually reserved for linear asymptotes. Asymptotes convey information about the behavior of curves in the large, and determining the asymptotes of a function is an important step in sketching its graph. The study of asymptotes of functions, construed in a broad sense, forms a part of the subject of asymptotic analysis.

ChatGPTRate this definition:0.0 / 0 votes

1. asymptotic

   Asymptotic refers to a concept in mathematics, particularly in calculus. It describes a behavior that a mathematical function or a line exhibits as it approaches a particular value or point. An asymptote usually represents a line that a curve or function approaches but never reaches or intersects. In simpler words, it's a value that you get closer and closer to, but never quite reach. The term "asymptotic" can also be used in other contexts like computer science, where "asymptotic analysis" studies the performance of algorithms when they're given a large input. It provides an upper bound for the growth rate of an algorithm.

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Numerology

1. Chaldean Numerology

   The numerical value of asymptotic in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of asymptotic in Pythagorean Numerology is: 6

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References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=asymptotic
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Asymptotic
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Asymptotic
4. ^ ChatGPT
   https://chat.openai.com