spherical degree


spherical degree
   a unit of relative surface area for spheres, equal to 1/720 the total surface area or pi·R2/180, where R is the radius of the sphere. Thinking in terms of the Earth's surface, this is the area of the region in one hemisphere (northern or southern) bounded by the equator and two meridians of longitude one degree apart.

Dictionary of units of measurement. 2015.

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  • 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

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  • degree —    1. (° or deg)    the standard unit of angle measure, equal to 1/360 circle, 60 minutes, 3600 seconds, or about 0.017 453 293 radian. So far as we know, this unit was introduced by the Greek geometer Hipparchus of Nicaea (ca. 180 ca. 125 BC),… …   Dictionary of units of measurement

  • Spherical excess — Excess Ex*cess , n. [OE. exces, excess, ecstasy, L. excessus a going out, loss of self possession, fr. excedere, excessum, to go out, go beyond: cf. F. exc[ e]s. See {Exceed}.] 1. The state of surpassing or going beyond limits; the being of a… …   The Collaborative International Dictionary of English

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  • Table of spherical harmonics — This is a table of orthonormalized spherical harmonics that employ the Condon Shortley phase up to degree l=10. Some of these formulas give the Cartesian version. This assumes x, y, z, and r are related to heta, and varphi, through the usual… …   Wikipedia

  • trigonometry — trigonometric /trig euh neuh me trik/, trigonometrical, adj. trigonometrically, adv. /trig euh nom i tree/, n. the branch of mathematics that deals with the relations between the sides and angles of plane or spherical triangles, and the… …   Universalium

  • geoid — geoidal, adj. /jee oyd/, n. 1. an imaginary surface that coincides with mean sea level in the ocean and its extension through the continents. 2. the geometric figure formed by this surface, an ellipsoid flattened at the poles. [1880 85; < Gk… …   Universalium

  • photoreception — photoreceptive, adj. /foh toh ri sep sheuhn/, n. the physiological perception of light. [1905 10; PHOTO + RECEPTION] * * * Biological responses to stimulation by light, most often referring to the mechanism of vision. In one celled organisms such …   Universalium


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