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
Spherical Earth — Medieval artistic representation of a spherical Earth with compartments representing earth, air, and water (c. 1400). The concept of a spherical Earth dates back to ancient Greek philosophy from around the 6th century BC … Wikipedia
Spherical design — A spherical design, part of combinatorial design theory in mathematics, is a finite set of points on the d dimensional unit hypersphere Sd such that the average value of any polynomial f of degree t or less on the set equals the average value of… … Wikipedia
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
Spin-weighted spherical harmonics — are generalizations of the standard spherical harmonics and like the usual spherical harmonics are complex functions on the sphere. These harmonics are typically denoted by {} sY {lm}, where s is the spin weight , and l and m are akin to the… … Wikipedia
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