oblate spheroidal coordinates - определение. Что такое oblate spheroidal coordinates
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Что (кто) такое oblate spheroidal coordinates - определение


Oblate spheroidal coordinates         
  • Figure 2: Plot of the oblate spheroidal coordinates μ and ν in the ''x''-''z'' plane, where φ is zero and ''a'' equals one. The curves of constant ''μ'' form red ellipses, whereas those of constant ''ν'' form cyan half-hyperbolae in this plane. The ''z''-axis runs vertically and separates the foci; the coordinates ''z'' and ν always have the same sign. The surfaces of constant μ and ν in three dimensions are obtained by rotation about the ''z''-axis, and are the red and blue surfaces, respectively, in Figure 1.
  • Figure 3: Coordinate isosurfaces for a point P (shown as a black sphere) in the alternative oblate spheroidal coordinates (σ, τ, φ). As before, the oblate spheroid corresponding to σ is shown in red, and φ measures the azimuthal angle between the green and yellow half-planes. However, the surface of constant τ is a full one-sheet hyperboloid, shown in blue. This produces a two-fold degeneracy, shown by the two black spheres located at (''x'', ''y'', ±''z'').
THREE-DIMENSIONAL ORTHOGONAL COORDINATE SYSTEM
Oblate spheroidal harmonics; Oblate spheroidal coordinate system
Oblate spheroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional elliptic coordinate system about the non-focal axis of the ellipse, i.e.
Oblate spheroidal wave function         
In applied mathematics, oblate spheroidal wave functions (like also prolate spheroidal wave functions and other related functionsF.M.
Homogeneous coordinates         
MATHEMATICS
Homogenous coordinates; Homogeneous coordinate; Homogeneous co-ordinates; Homogeneous coordinate system; Projective coordinates; Homogeneous Coordinates; Homogenous coordinate
In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work ,August Ferdinand Möbius: Der barycentrische Calcul, Verlag von Johann Ambrosius Barth, Leipzig, 1827.