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  2. Cubic function - Wikipedia

    en.wikipedia.org/wiki/Cubic_function

    The graph of any cubic function is similar to such a curve. The graph of a cubic function is a cubic curve, though many cubic curves are not graphs of functions. Although cubic functions depend on four parameters, their graph can have only very few shapes. In fact, the graph of a cubic function is always similar to the graph of a function of ...

  3. List of curves - Wikipedia

    en.wikipedia.org/wiki/List_of_curves

    Fractal curves. Blancmange curve. De Rham curve. Dragon curve. Koch curve. Lévy C curve. Sierpiński curve. Space-filling curve (Peano curve) See also List of fractals by Hausdorff dimension.

  4. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    5D with 4D surfaces. regular 5-polytope. 5-dimensional cross-polytope. 5-dimensional hypercube. 5-dimensional simplex. Five-dimensional space, 5-polytope and uniform 5-polytope. 5-simplex, Rectified 5-simplex, Truncated 5-simplex, Cantellated 5-simplex, Runcinated 5-simplex, Stericated 5-simplex.

  5. Gallery of curves - Wikipedia

    en.wikipedia.org/wiki/Gallery_of_curves

    Cruciform curve. Deltoid curve. Devil's curve. Hippopede. Kampyle of Eudoxus. Kappa curve. Lemniscate of Booth. Lemniscate of Gerono. Lemniscate of Bernoulli.

  6. Parabola - Wikipedia

    en.wikipedia.org/wiki/Parabola

    Parabola. Part of a parabola (blue), with various features (other colours). The complete parabola has no endpoints. In this orientation, it extends infinitely to the left, right, and upward. The parabola is a member of the family of conic sections. In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U ...

  7. Sigmoid function - Wikipedia

    en.wikipedia.org/wiki/Sigmoid_function

    A sigmoid function is a function whose graph follows the logistic function. It is defined by the formula: σ {\displaystyle \sigma (x)= {\frac {1} {1+e^ {-x}}}= {\frac {e^ {x}} {1+e^ {x}}}=1-\sigma (-x).} In many fields, especially in the context of artificial neural networks, the term "sigmoid function" is correctly recognized as a synonym for ...

  8. List of mathematical functions - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_functions

    Linear function: First degree polynomial, graph is a straight line. Quadratic function: Second degree polynomial, graph is a parabola. Cubic function: Third degree polynomial. Quartic function: Fourth degree polynomial. Quintic function: Fifth degree polynomial. Rational functions: A ratio of two polynomials. n th root.

  9. Rose (mathematics) - Wikipedia

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

    Graphs of roses are composed of petals.A petal is the shape formed by the graph of a half-cycle of the sinusoid that specifies the rose. (A cycle is a portion of a sinusoid that is one period T = ⁠ 2π / k ⁠ long and consists of a positive half-cycle, the continuous set of points where r ≥ 0 and is ⁠ T / 2 ⁠ = ⁠ π / k ⁠ long, and a negative half-cycle is the other half where r ...

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