- solid harmonics
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English-Tamil dictionary. 2014.
solid harmonics
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Solid harmonics — In physics and mathematics, the solid harmonics are solutions of the Laplace equation in spherical polar coordinates. There are two kinds: the regular solid harmonics R^m ell(mathbf{r}), which vanish at the origin and the irregular solid… … 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
Greek arithmetic, geometry and harmonics: Thales to Plato — Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… … History of philosophy
Multipole expansion — A multipole expansion is a mathematical series representing a function that depends on angles usually the two angles on a sphere. These series are useful because they can often be truncated, meaning that only the first few terms need to be… … Wikipedia
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Spherical multipole moments — are the coefficients in a series expansionof a potential that varies inversely with the distance R to a source, i.e., as frac{1}{R}. Examples of such potentials are the electric potential, the magnetic potential and the gravitational… … Wikipedia
Multipole moment — In mathematics, especially as applied to physics, multipole moments are the coefficients of a series expansion of a potential due to continuous or discrete sources (e.g., an electric charge distribution). A multipole moment usually involves… … Wikipedia
Dipole — This article is about the electromagnetic phenomenon. For other uses, see dipole (disambiguation). The Earth s magnetic field, approximated as a magnetic dipole. However, the N and S (north and south) poles are labeled here geographically, which… … Wikipedia
Multipole moments — are the coefficients of a series expansion of a potential due to continuous or discrete sources (e.g., an electric charge distribution). A multipole moment usually involves powers (or inverse powers) of the distance to the origin, as well as some … Wikipedia
Monopole — may refer to: Magnetic monopole, or Dirac monopole, a hypothetical particle that may be loosely described as a magnet with only one pole, or related concepts in physics and mathematics: Wu–Yang monopole, a monopole solution of Yang Mills… … Wikipedia
sound — sound1 soundable, adj. /sownd/, n. 1. the sensation produced by stimulation of the organs of hearing by vibrations transmitted through the air or other medium. 2. mechanical vibrations transmitted through an elastic medium, traveling in air at a… … Universalium
