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About: Superparabola     Goto   Sponge   NotDistinct   Permalink

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A superparabola is a geometric curve defined in the Cartesian coordinate system as a set of points (x, y) with where p, a, and b are positive integers. The equation defines an open curve in the rectangle −a ≤ x ≤ a, 0 ≤ y ≤ b. The superparabola can vary in shape from a rectangular function (p = 0), to a semi-ellipse (p = 1/2), to a parabola (p = 1), to a pulse function (p > 1).