Результаты поиска по 'coordinate families':
Найдено статей: 2
  1. Rakcheeva T.A.
    Polypolar coordination and symmetries
    Computer Research and Modeling, 2010, v. 2, no. 4, pp. 329-341

    The polypolar system of coordinates is formed by a family of a parametrized on a radius isofocal of kf-lemniscates. As well as the classical polar system of coordinates, it characterizes a point of a plane by a polypolar radius ρ and polypolar angle φ. For anyone connectedness a family isometric of curve ρ = const – lemniscates and family gradient of curves φ = const – are mutually orthogonal conjugate coordinate families. The singularities of polypolar coordination, its symmetry, and also curvilinear symmetries on multifocal lemniscates are considered.

    Keywords: curves, focuses, multifocal lemniscates, Cassini ovals, polar system of coordinates, coordinate families, groups of symmetries, curvilinear symmetries.
    Views (last year): 1.
  2. Rakcheeva T.A.
    Polypolar lemniscate coordinate system
    Computer Research and Modeling, 2009, v. 1, no. 3, pp. 251-261

    The polypolar coordinate system, as well as classical polar, characterizes a point on a plane by polar radius ρ and polar angle φ, but utilizes multiple poles instead of one pole. Such referencing can be provided by a class of multifocal lemniscates. The family of isometric curves ρ=const — lemniscates — and family of gradient curves φ=const are mutually orthogonal conjugate families.

    Keywords: polypolar coordinate system.
    Citations: 3 (RSCI).

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