these harmonics
1Harmonics (electrical power) — Harmonics are electric voltages and currents that appear on the electric power system as a result of certain kinds of electric loads. Harmonic frequencies in the power grid are a frequent cause of power quality problems.CausesIn a normal… …
2Guitar harmonics — OvertonesWhen a guitar string is plucked, the string vibrates at several frequencies. The vibration along the entire length of the string is known as the fundamental, while vibrations occurring between points along the string (known as nodes) are …
3Spin-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… …
4Spherical 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… …
5Greek 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… …
6Solid 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… …
7Cylindrical harmonics — In mathematics, the cylindrical harmonics are a set of linearly independent solutions to Laplace s differential equation, , expressed in cylindrical coordinates, ρ (radial coordinate), φ (polar angle), and z (height). Each function Vn(k) is the… …
8Table 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… …
9Vector 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… …
10Violin — Infobox Instrument name=Violin names=Fiddle, de: Violine or Geige, fr: Violon, it: Violino classification=String instrument (bowed) range= related= *Violin family (viola, cello) *Viol family (includes double bass) musicians= *List of violinists… …
