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  2. Desmos - Wikipedia

    en.wikipedia.org/wiki/Desmos

    In November 2023, Desmos gave users the ability to bring sound to their graphs, allowing them to produce tones of a given frequency and gain. [14] Users can create accounts and save the graphs and plots that they have created to them. A permalink can then be generated which allows users to share their graphs and elect to be considered for staff ...

  3. Sigmoid function - Wikipedia

    en.wikipedia.org/wiki/Sigmoid_function

    isbn 978-0-07-042807-2.. (nb. (NB. In particular see "Chapter 4: Artificial Neural Networks" (in particular pp. 96–97) where Mitchell uses the word "logistic function" and the "sigmoid function" synonymously – this function he also calls the "squashing function" – and the sigmoid (aka logistic) function is used to compress the outputs of ...

  4. Domain coloring - Wikipedia

    en.wikipedia.org/wiki/Domain_coloring

    Domain coloring plot of the function f(x) = ⁠ (x 2 − 1)(x − 2 − i) 2 / x 2 + 2 + 2i ⁠, using the structured color function described below. In complex analysis, domain coloring or a color wheel graph is a technique for visualizing complex functions by assigning a color to each point of the complex plane. By assigning points on the ...

  5. Plotting algorithms for the Mandelbrot set - Wikipedia

    en.wikipedia.org/wiki/Plotting_algorithms_for...

    Escape time algorithm. The simplest algorithm for generating a representation of the Mandelbrot set is known as the "escape time" algorithm. A repeating calculation is performed for each x, y point in the plot area and based on the behavior of that calculation, a color is chosen for that pixel.

  6. Lambert W function - Wikipedia

    en.wikipedia.org/wiki/Lambert_W_function

    hide. The product logarithm Lambert W function plotted in the complex plane from −2 − 2i to 2 + 2i. The graph of y = W(x) for real x < 6 and y > −4. The upper branch (blue) with y ≥ −1 is the graph of the function W0 (principal branch), the lower branch (magenta) with y ≤ −1 is the graph of the function W−1. The minimum value of ...

  7. Tetration - Wikipedia

    en.wikipedia.org/wiki/Tetration

    The term hyperpower[4]is a natural combination of hyperand power, which aptly describes tetration. The problem lies in the meaning of hyperwith respect to the hyperoperationsequence. When considering hyperoperations, the term hyperrefers to all ranks, and the term superrefers to rank 4, or tetration.

  8. Graph of a function - Wikipedia

    en.wikipedia.org/wiki/Graph_of_a_function

    t. e. In mathematics, the graph of a function is the set of ordered pairs , where In the common case where and are real numbers, these pairs are Cartesian coordinates of points in a plane and often form a curve. The graphical representation of the graph of a function is also known as a plot. In the case of functions of two variables – that is ...

  9. Range of a function - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_function

    In mathematics, the range of a function may refer to either of two closely related concepts: the codomain of the function, or. the image of the function. In some cases the codomain and the image of a function are the same set; such a function is called surjective or onto. For any non-surjective function the codomain and the image are different ...