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  2. Piecewise linear function - Wikipedia

    en.wikipedia.org/wiki/Piecewise_linear_function

    A piecewise linear function is a function defined on a (possibly unbounded) interval of real numbers, such that there is a collection of intervals on each of which the function is an affine function. (Thus "piecewise linear" is actually defined to mean "piecewise affine ".) If the domain of the function is compact, there needs to be a finite ...

  3. Piecewise - Wikipedia

    en.wikipedia.org/wiki/Piecewise

    Plot of the piecewise linear function. In mathematics, a piecewise-defined function (also called a piecewise function, a hybrid function, or definition 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 ...

  4. Desmos - Wikipedia

    en.wikipedia.org/wiki/Desmos

    Desmos was founded by Eli Luberoff, a math and physics double major from Yale University, [3] and was launched as a startup at TechCrunch 's Disrupt New York conference in 2011. [4] As of September 2012, it had received around 1 million US dollars of funding from Kapor Capital, Learn Capital, Kindler Capital, Elm Street Ventures and Google ...

  5. Spline (mathematics) - Wikipedia

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

    Spline (mathematics) Single knots at 1/3 and 2/3 establish a spline of three cubic polynomials meeting with C2 parametric continuity. Triple knots at both ends of the interval ensure that the curve interpolates the end points. In mathematics, a spline is a function defined piecewise by polynomials .

  6. Linear interpolation - Wikipedia

    en.wikipedia.org/wiki/Linear_interpolation

    Linear interpolation on a set of data points (x0, y0), (x1, y1), ..., (xn, yn) is defined as piecewise linear, resulting from the concatenation of linear segment interpolants between each pair of data points. This results in a continuous curve, with a discontinuous derivative (in general), thus of differentiability class .

  7. Weierstrass function - Wikipedia

    en.wikipedia.org/wiki/Weierstrass_function

    In mathematics, the Weierstrass function is an example of a real-valued function that is continuous everywhere but differentiable nowhere. It is an example of a fractal curve. It is named after its discoverer Karl Weierstrass . The Weierstrass function has historically served the role of a pathological function, being the first published ...

  8. Triangle wave - Wikipedia

    en.wikipedia.org/wiki/Triangle_wave

    A triangular wave or triangle wave is a non-sinusoidal waveform named for its triangular shape. It is a periodic, piecewise linear, continuous real function . Like a square wave, the triangle wave contains only odd harmonics. However, the higher harmonics roll off much faster than in a square wave (proportional to the inverse square of the ...

  9. Closed-form expression - Wikipedia

    en.wikipedia.org/wiki/Closed-form_expression

    Closed-form expression. In mathematics, an expression is in closed form if it is formed with constants, variables and a finite set of basic functions connected by arithmetic operations ( +, −, ×, /, and integer powers) and function composition. Commonly, the allowed functions are n th root, exponential function, logarithm, and trigonometric ...

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