orthogonal spherical coordinates

orthogonal spherical coordinates
сферические ортогональные координаты

English-Russian cartography dictionary. 2013.

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  • Vector fields in cylindrical and spherical coordinates — Cylindrical coordinate system = Vector fields Vectors are defined in cylindrical coordinates by (ρ,φ,z), where * ρ is the length of the vector projected onto the X Y plane, * φ is the angle of the projected vector with the positive X axis (0 ≤ φ… …   Wikipedia

  • Del in cylindrical and spherical coordinates — This is a list of some vector calculus formulae of general use in working with various curvilinear coordinate systems. Contents 1 Note 2 References 3 See also 4 External links …   Wikipedia

  • Orthogonal coordinates — In mathematics, orthogonal coordinates are defined as a set of d coordinates q = (q1, q2, ..., qd) in which the coordinate surfaces all meet at right angles (note: superscripts are indices, not exponents). A coordinate surface for a particular… …   Wikipedia

  • Spherical coordinate system — In mathematics, the spherical coordinate system is a coordinate system for representing geometric figures in three dimensions using three coordinates: the radial distance of a point from a fixed origin, the zenith angle from the positive z axis… …   Wikipedia

  • Spherical harmonics — In mathematics, the spherical harmonics are the angular portion of an orthogonal set of solutions to Laplace s equation represented in a system of spherical coordinates. Spherical harmonics are important in many theoretical and practical… …   Wikipedia

  • Orthogonal group — Group theory Group theory …   Wikipedia

  • Curvilinear coordinates — Curvilinear, affine, and Cartesian coordinates in two dimensional space Curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian… …   Wikipedia

  • Oblate spheroidal coordinates — Figure 1: Coordinate isosurfaces for a point P (shown as a black sphere) in oblate spheroidal coordinates (μ, ν, φ). The z axis is vertical, and the foci are at ±2. The red oblate spheroid (flattened sphere) corresponds to μ=1, whereas the blue… …   Wikipedia

  • Conical coordinates — Coordinate surfaces of the conical coordinates. The constants b and c were chosen as 1 and 2, respectively. The red sphere represents r=2, the blue elliptic cone aligned with the vertical z axis represents μ=cosh(1) and the yellow elliptic cone… …   Wikipedia

  • Prolate spheroidal coordinates — are a three dimensional orthogonal coordinate system that results from rotating the two dimensional elliptic coordinate system about the focal axis of the ellipse, i.e., the axis on which the foci are located. Rotation about the other axis… …   Wikipedia

  • Vector spherical harmonics — In mathematics, vector spherical harmonics (VSH) are an extension of the scalar spherical harmonics for the use with vector fields.DefinitionSeveral conventions have been used to define the VSH [R.G. Barrera, G.A. Estévez and J. Giraldo, Vector… …   Wikipedia

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