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  2. Asymptote - Wikipedia

    en.wikipedia.org/wiki/Asymptote

    If y=c is a horizontal asymptote of f(x), then y=c+k is a horizontal asymptote of f(x)+k; If a known function has an asymptote, then the scaling of the function also have an asymptote. If y=ax+b is an asymptote of f(x), then y=cax+cb is an asymptote of cf(x) For example, f(x)=e x-1 +2 has horizontal asymptote y=0+2=2, and no vertical or oblique ...

  3. Sigmoid function - Wikipedia

    en.wikipedia.org/wiki/Sigmoid_function

    A sigmoid function is constrained by a pair of horizontal asymptotes as . A sigmoid function is convex for values less than a particular point, and it is concave for values greater than that point: in many of the examples here, that point is 0.

  4. 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.

  5. 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 ...

  6. Curve sketching - Wikipedia

    en.wikipedia.org/wiki/Curve_sketching

    Also determine from which side the curve approaches the asymptotes and where the asymptotes intersect the curve. [1] Equate first and second derivatives to 0 to find the stationary points and inflection points respectively. If the equation of the curve cannot be solved explicitly for x or y, finding these derivatives requires implicit ...

  7. Truncus (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Truncus_(mathematics)

    The asymptotes of a truncus are found at x = -b (for the vertical asymptote) and y = c (for the horizontal asymptote). This function is more commonly known as a reciprocal squared function, particularly the basic example 1 / x 2 {\displaystyle 1/x^{2}} .

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

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

    Viper today has an interest in 11,000 horizontal wells across the basin. And that's an information advantage that I don't think can be replicated. So I think momentum is very strong at Viper.

  9. Critical point (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Critical_point_(mathematics)

    More precisely, a simple root of ⁡ is either a critical value of such the corresponding critical point is a point which is not singular nor an inflection point, or the x-coordinate of an asymptote which is parallel to the y-axis and is tangent "at infinity" to an inflection point (inflexion asymptote).