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  2. Sphere - Wikipedia

    en.wikipedia.org/wiki/Sphere

    A parametric equation for the sphere with radius > and center (,,) can be ... where ρ is the density (the ratio of mass to volume). Other geometric properties

  3. Parametric equation - Wikipedia

    en.wikipedia.org/wiki/Parametric_equation

    In all cases, the equations are collectively called a parametric representation, [2] or parametric system, [3] or parameterization (alternatively spelled as parametrisation) of the object. [ 1 ] [ 4 ] [ 5 ]

  4. Surface (mathematics) - Wikipedia

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

    For example, the unit sphere is an algebraic surface, as it may be defined by the implicit equation x 2 + y 2 + z 2 − 1 = 0. {\displaystyle x^{2}+y^{2}+z^{2}-1=0.} A surface may also be defined as the image , in some space of dimension at least 3, of a continuous function of two variables (some further conditions are required to ensure that ...

  5. Parametric surface - Wikipedia

    en.wikipedia.org/wiki/Parametric_surface

    A parametric surface is a surface in the Euclidean space which is defined by a parametric equation with two parameters :. Parametric representation is a very general way to specify a surface, as well as implicit representation .

  6. Ellipsoid - Wikipedia

    en.wikipedia.org/wiki/Ellipsoid

    ellipsoid as an affine image of the unit sphere. The key to a parametric representation of an ellipsoid in general position is the alternative definition: An ellipsoid is an affine image of the unit sphere. An affine transformation can be represented by a translation with a vector f 0 and a regular 3 × 3 matrix A:

  7. Spherical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Spherical_coordinate_system

    For example, one sphere that is described in Cartesian coordinates with the equation x 2 + y 2 + z 2 = c 2 can be described in spherical coordinates by the simple equation r = c. (In this system—shown here in the mathematics convention—the sphere is adapted as a unit sphere, where the radius is set to unity and then can generally be ignored ...

  8. ESPN's 'Around the Horn' coming to an end in 2025 - AOL

    www.aol.com/reports-espns-around-horn-coming...

    "Around the Horn" began in 2002 with Max Kellerman as its original host. Reali took over hosting duties in 2004 and has remained in the role ever since.

  9. Spheroid - Wikipedia

    en.wikipedia.org/wiki/Spheroid

    The equation of a spheroid with z as the symmetry axis is given by setting a = b: x 2 + y 2 a 2 + z 2 c 2 = 1. {\displaystyle {\frac {x^{2}+y^{2}}{a^{2}}}+{\frac {z^{2}}{c^{2}}}=1.} The semi-axis a is the equatorial radius of the spheroid, and c is the distance from centre to pole along the symmetry axis.