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  2. Piecewise function - Wikipedia

    en.wikipedia.org/wiki/Piecewise_function

    In mathematics, a piecewise function (also called a piecewise-defined function, a hybrid function, or a function defined by cases) is a function whose domain is partitioned into several intervals ("subdomains") on which the function may be defined differently. [1] [2] [3] Piecewise definition is actually a way of specifying the function, rather ...

  3. Desmos - Wikipedia

    en.wikipedia.org/wiki/Desmos

    In it, geometrical shapes can be made, as well as expressions from the normal graphing calculator, with extra features. [8] In September 2023, Desmos released a beta for a 3D calculator, which added features on top of the 2D calculator, including cross products, partial derivatives and double-variable parametric equations. [9]

  4. Piecewise linear function - Wikipedia

    en.wikipedia.org/wiki/Piecewise_linear_function

    Since the graph of an affine(*) function is a line, the graph of a piecewise linear function consists of line segments and rays. The x values (in the above example −3, 0, and 3) where the slope changes are typically called breakpoints, changepoints, threshold values or knots.

  5. Piecewise property - Wikipedia

    en.wikipedia.org/wiki/Piecewise_property

    A function property holds piecewise for a function, if the function can be piecewise-defined in a way that the property holds for every subdomain. Examples of functions with such piecewise properties are: Piecewise constant function, also known as a step function; Piecewise linear function; Piecewise continuous function

  6. Linear interpolation - Wikipedia

    en.wikipedia.org/wiki/Linear_interpolation

    Example of bilinear interpolation on the unit square with the z values 0, 1, 1, and 0.5 as indicated. Interpolated values in between are represented by colour. A piecewise linear function in two dimensions (top) and the convex polytopes on which it is linear (bottom)

  7. Classification of discontinuities - Wikipedia

    en.wikipedia.org/wiki/Classification_of...

    The function in example 1, a removable discontinuity. Consider the piecewise function = {< = >. The point = is a removable discontinuity.For this kind of discontinuity: The one-sided limit from the negative direction: = and the one-sided limit from the positive direction: + = + at both exist, are finite, and are equal to = = +.

  8. List of chaotic maps - Wikipedia

    en.wikipedia.org/wiki/List_of_chaotic_maps

    3: 5: Arneodo chaotic system [5] continuous: ... Duffing equation: continuous: real: 2: 5 (3 independent) ... 1: piecewise-linear approximation for Pomeau-Manneville ...

  9. Piecewise linear continuation - Wikipedia

    en.wikipedia.org/wiki/Piecewise_linear_continuation

    Simplicial continuation, or piecewise linear continuation (Allgower and Georg), [1] [2] is a one-parameter continuation method which is well suited to small to medium embedding spaces. The algorithm has been generalized to compute higher-dimensional manifolds by (Allgower and Gnutzman) [ 3 ] and (Allgower and Schmidt).