In physics and mathematics, the solid harmonics are solutions of the Laplace equation in spherical polar coordinates, assumed to be (smooth) functions...
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fields. The table of spherical harmonics contains a list of common spherical harmonics. Since the spherical harmonics form a complete set of orthogonal...
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R_{L}^{M}} are irregular and regular solid harmonics, respectively. The translation of the regular solid harmonic gives a finite expansion, R L M ( r A...
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Laplace's equation (redirect from Harmonic equation)
} where the fℓm are constants and the factors rℓ Yℓm are known as solid harmonics. Such an expansion is valid in the ball r < R = 1 lim sup ℓ → ∞ | f...
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will emit the high harmonics of the generation beam (above the fifth harmonic). Due to the coherent nature of the process, high-harmonics generation is a...
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In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are...
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often partially replaced by cubic harmonics for a number of reasons. These harmonics are usually named tesseral harmonics in the field of condensed matter...
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that of the mass quadrupole. Multipole expansion Multipole moments Solid harmonics Axial multipole moments Cylindrical multipole moments Spherical multipole...
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more exotic engines, does not suffer from the excessive harmonics and therefore may use a solid undampened device. Modern (roughly 1988+) DOHC, SOHC Flat...
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moment Dynamic toroidal dipole Multipole expansion Multipole moments Solid harmonics Axial multipole moments Cylindrical multipole moments Spherical multipole...
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The Einstein solid is a model of a crystalline solid that contains a large number of independent three-dimensional quantum harmonic oscillators of the...
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Monopole Solid harmonics Axial multipole moments Cylindrical multipole moments Spherical multipole moments Laplace expansion Molecular solid Magnetic...
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"Detection of order–disorder transition in organic solids by using temperature resolved second harmonic generation (TR-SHG)". Journal of Molecular Structure...
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}^{m}} is a normalized spherical harmonic function. The expansion takes a simpler form when written in terms of solid harmonics, 1 ‖ r − r ′ ‖ = ∑ ℓ = 0 ∞ ∑...
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multipole moments are defined as the complex conjugate of irregular solid harmonics I ℓ m = d e f q ( r ′ ) ℓ + 1 4 π 2 ℓ + 1 Y ℓ m ∗ ( θ ′ , ϕ ′ )...
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The quasi-harmonic approximation is a phonon-based model of solid-state physics used to describe volume-dependent thermal effects, such as the thermal...
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Even and odd functions (section Harmonics)
of harmonics produced depend on the response function f: When the response function is even, the resulting signal will consist of only even harmonics of...
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Radio transmitter design (section Harmonics)
output will only contain even harmonics. This is because the currents which would generate the fundamental and the odd harmonics in this circuit are canceled...
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majority of the harmonics energy is concentrated in the lower order harmonics. Meanwhile, for the PWM strategy, the energy of the harmonics lie in higher-frequencies...
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happen: the signal at higher harmonics will be very low, and requires very intense lasers to be generated. To generate high harmonics (like n = 30 {\displaystyle...
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A diode-pumped solid-state laser (DPSSL) is a solid-state laser made by pumping a solid gain medium, for example, a ruby or a neodymium-doped YAG crystal...
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1090/s0002-9947-1936-1501884-1. MR 1501884. Szegő, G. (1940). "On the gradient of solid harmonic polynomials". Trans. Amer. Math. Soc. 47: 51–65. doi:10.1090/s0002-9947-1940-0000847-6...
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Einstein photoelectron model, which treats the solid as many individual, non-interacting quantum harmonic oscillators. The Debye model correctly predicts...
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Kepler–Poinsot polyhedron (redirect from Kepler-poinsot solid)
has 12 pentagram faces with the central pentagonal part hidden inside the solid. The visible parts of each face comprise five isosceles triangles which...
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Polymer capacitor (redirect from Solid state capacitor)
polymer electrolytic capacitor, is an electrolytic capacitor (e-cap) with a solid conductive polymer electrolyte. There are four different types: Polymer...
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Solid State Logic (SSL) is a British company based in Begbroke, Oxfordshire, England that designs and markets audio mixing consoles, signal processors...
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Electric guitar (redirect from Solid body guitar)
pedal Electric pipa Electromagnetic induction Electronic tuner Guitar harmonics Guitar synthesizer Guitar amplifier Keytar List of guitars List of guitarists...
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expansion Spherical multipole moments Cylindrical multipole moments Solid harmonics Laplace expansion Eyges, Leonard (2012-06-11). The Classical Electromagnetic...
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Rhombicosidodecahedron (category Archimedean solids)
the rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon...
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Tube sound (section Harmonic content and distortion)
produce a monotonically decaying harmonic distortion spectrum.[clarification needed] Even-order harmonics and odd-order harmonics are both natural number multiples...
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