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  2. Parabola - Wikipedia

    en.wikipedia.org/wiki/Parabola

    In the theory of quadratic forms, the parabola is the graph of the quadratic form x 2 (or other scalings), while the elliptic paraboloid is the graph of the positive-definite quadratic form x 2 + y 2 (or scalings), and the hyperbolic paraboloid is the graph of the indefinite quadratic form x 2 − y 2. Generalizations to more variables yield ...

  3. File:Parts of Parabola.svg - Wikipedia

    en.wikipedia.org/wiki/File:Parts_of_Parabola.svg

    You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses ...

  4. Quadratic function - Wikipedia

    en.wikipedia.org/wiki/Quadratic_function

    The graph of a real single-variable quadratic function is a parabola. If a quadratic function is equated with zero, then the result is a quadratic equation . The solutions of a quadratic equation are the zeros (or roots ) of the corresponding quadratic function, of which there can be two, one, or zero.

  5. Parabolic coordinates - Wikipedia

    en.wikipedia.org/wiki/Parabolic_coordinates

    The scale factors for the parabolic coordinates (,) are equal = = + Hence, the infinitesimal element of area is = (+) and the Laplacian equals = + (+) Other differential operators such as and can be expressed in the coordinates (,) by substituting the scale factors into the general formulae found in orthogonal coordinates.

  6. Successive parabolic interpolation - Wikipedia

    en.wikipedia.org/wiki/Successive_parabolic...

    Successive parabolic interpolation is a technique for finding the extremum (minimum or maximum) of a continuous unimodal function by successively fitting parabolas (polynomials of degree two) to a function of one variable at three unique points or, in general, a function of n variables at 1+n(n+3)/2 points, and at each iteration replacing the "oldest" point with the extremum of the fitted ...

  7. File:Parabola with focus and arbitrary line.svg - Wikipedia

    en.wikipedia.org/wiki/File:Parabola_with_focus...

    A parabola, showing arbitrary line (L), focus (F), and vertex (V). Generic points marked for explanation. Adapted from this image, which shows L as the directrix of ...

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