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  2. 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]

  3. Parametric equation - Wikipedia

    en.wikipedia.org/wiki/Parametric_equation

    Such a parametric equation is called a parametric form of the solution of the system. [ 10 ] The standard method for computing a parametric form of the solution is to use Gaussian elimination for computing a reduced row echelon form of the augmented matrix.

  4. Butterfly curve (transcendental) - Wikipedia

    en.wikipedia.org/wiki/Butterfly_curve...

    1 Equation. 2 Developments. 3 See also. 4 References. 5 External links. Toggle the table of contents. ... The curve is given by the following parametric equations: [2]

  5. Lissajous curve - Wikipedia

    en.wikipedia.org/wiki/Lissajous_curve

    A Lissajous figure, made by releasing sand from a container at the end of a Blackburn pendulum. A Lissajous curve / ˈ l ɪ s ə ʒ uː /, also known as Lissajous figure or Bowditch curve / ˈ b aʊ d ɪ tʃ /, is the graph of a system of parametric equations

  6. 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 ...

  7. Parabola - Wikipedia

    en.wikipedia.org/wiki/Parabola

    In the theory of quadratic forms, the parabola is the graph of the quadratic form x 2 (or other scalings), while the elliptic paraboloid is the graph of the positive-definite quadratic form x 2 + y 2 (or scalings), and the hyperbolic paraboloid is the graph of the indefinite quadratic form x 2 − y 2. Generalizations to more variables yield ...

  8. Parametrization (geometry) - Wikipedia

    en.wikipedia.org/wiki/Parametrization_(geometry)

    In mathematics, and more specifically in geometry, parametrization (or parameterization; also parameterisation, parametrisation) is the process of finding parametric equations of a curve, a surface, or, more generally, a manifold or a variety, defined by an implicit equation. The inverse process is called implicitization. [1] "

  9. Cusp (singularity) - Wikipedia

    en.wikipedia.org/wiki/Cusp_(singularity)

    A rhamphoid cusp (from Greek 'beak-like') denoted originally a cusp such that both branches are on the same side of the tangent, such as for the curve of equation = As such a singularity is in the same differential class as the cusp of equation x 2 − y 5 = 0 , {\displaystyle x^{2}-y^{5}=0,} which is a singularity of type A 4 , the term has ...

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