What does ASYMPTOTICALLY mean?

Definitions for ASYMPTOTICALLY
asymp·tot·i·cal·ly

This dictionary definitions page includes all the possible meanings, example usage and translations of the word ASYMPTOTICALLY.

Princeton's WordNet

  1. asymptoticallyadverb

    toward an asymptote

    "it grew asymptotically"

Wiktionary

  1. asymptoticallyadverb

    In an asymptotical manner, in the way of an asymptote, toward an asymptote

    The value grew asymptotically.

Wikipedia

  1. asymptotically

    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.

ChatGPT

  1. asymptotically

    In mathematics and statistics, "asymptotically" refers to a concept where a sequence, function, or algorithm approaches a specific behavior or value as its argument or index goes to infinity. Essentially, it describes how behavior changes in a model when a parameter becomes very large.

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Numerology

  1. Chaldean Numerology

    The numerical value of ASYMPTOTICALLY in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of ASYMPTOTICALLY in Pythagorean Numerology is: 2

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"ASYMPTOTICALLY." Definitions.net. STANDS4 LLC, 2024. Web. 14 May 2024. <https://www.definitions.net/definition/ASYMPTOTICALLY>.

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