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  2. Asymptote - Wikipedia

    en.wikipedia.org/wiki/Asymptote

    The graph of a function with a horizontal (y = 0), vertical (x = 0), and oblique asymptote (purple line, given by y = 2x) A curve intersecting an asymptote infinitely many times In analytic geometry , an asymptote ( / ˈ æ s ɪ m p t oʊ t / ) of a curve is a line such that the distance between the curve and the line approaches zero as one or ...

  3. Glossary of calculus - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_calculus

    Download as PDF; Printable version; ... an asymptote of a curve is a line such that the distance between the ... (v vs. t graph) is the displacement, x. In calculus ...

  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. 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.

  6. Asymptotology - Wikipedia

    en.wikipedia.org/wiki/Asymptotology

    In physics and other fields of science, one frequently comes across problems of an asymptotic nature, such as damping, orbiting, stabilization of a perturbed motion, etc. . Their solutions lend themselves to asymptotic analysis (perturbation theory), which is widely used in modern applied mathematics, mechanics and phy

  7. Curve sketching - Wikipedia

    en.wikipedia.org/wiki/Curve_sketching

    Determine the asymptotes of the curve. 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.

  8. Kappa curve - Wikipedia

    en.wikipedia.org/wiki/Kappa_curve

    The kappa curve has two vertical asymptotes. In geometry, the kappa curve or Gutschoven's curve is a two-dimensional algebraic curve resembling the Greek letter ϰ (kappa).The kappa curve was first studied by Gérard van Gutschoven around 1662.

  9. Bell-shaped function - Wikipedia

    en.wikipedia.org/wiki/Bell-shaped_function

    The Gaussian function is the archetypal example of a bell shaped function. A bell-shaped function or simply 'bell curve' is a mathematical function having a characteristic "bell"-shaped curve.

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