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  2. Asymptote - Wikipedia

    en.wikipedia.org/wiki/Asymptote

    Asymptotes are used in procedures of curve sketching. An asymptote serves as a guide line to show the behavior of the curve towards infinity. [10] In order to get better approximations of the curve, curvilinear asymptotes have also been used [11] although the term asymptotic curve seems to be preferred. [12]

  3. Asymptotic analysis - Wikipedia

    en.wikipedia.org/wiki/Asymptotic_analysis

    An asymptote is a straight line that a curve approaches but never meets or crosses. Informally, one may speak of the curve meeting the asymptote "at infinity" although this is not a precise definition. In the equation =, y becomes arbitrarily small in magnitude as x increases.

  4. Asymptotic curve - Wikipedia

    en.wikipedia.org/wiki/Asymptotic_curve

    The asymptotic directions are the same as the asymptotes of the hyperbola of the Dupin indicatrix through a hyperbolic point, or the unique asymptote through a parabolic point. [1] An asymptotic direction is a direction along which the normal curvature is zero: take the plane spanned by the direction and the surface's normal at that point. The ...

  5. Unit hyperbola - Wikipedia

    en.wikipedia.org/wiki/Unit_hyperbola

    The unit hyperbola is blue, its conjugate is green, and the asymptotes are red. In geometry, the unit hyperbola is the set of points (x,y) in the Cartesian plane that satisfy the implicit equation = In the study of indefinite orthogonal groups, the unit hyperbola forms the basis for an alternative radial length

  6. Hyperbola - Wikipedia

    en.wikipedia.org/wiki/Hyperbola

    This property can be used for the construction of further points of the hyperbola if a point and the asymptotes are given. If the chord degenerates into a tangent , then the touching point divides the line segment between the asymptotes in two halves.

  7. Asymptotology - Wikipedia

    en.wikipedia.org/wiki/Asymptotology

    The field of asymptotics is normally first encountered in school geometry with the introduction of the asymptote, a line to which a curve tends at infinity.The word Ασύμπτωτος (asymptotos) in Greek means non-coincident and puts strong emphasis on the point that approximation does not turn into coincidence.

  8. Diamondback Energy (FANG) Q3 2024 Earnings Call Transcript - AOL

    www.aol.com/diamondback-energy-fang-q3-2024...

    We also use the raw materials, the same raw materials throughout the basin but Diamondback is able to do that a lot faster. ... "Oh, they're close to the asymptote curve of efficiency." Well, they ...

  9. Generalised logistic function - Wikipedia

    en.wikipedia.org/wiki/Generalised_logistic_function

    Richards's curve has the following form: = + (+) /where = weight, height, size etc., and = time. It has six parameters: : the left horizontal asymptote;: the right horizontal asymptote when =.