Zum Inhalt springen

„Harmonik (Mathematic)“ – Versionsunterschied

aus AufEinWort, der freien Forschung
[ungesichtete Version][ungesichtete Version]
Die Seite wurde neu angelegt: „In mathematics, a number of concepts employ the word '''harmonic'''. The similarity of this terminology to that of music is not accidental: the equations of motion of vibrating strings, drums and columns of air are given by formulas involving Laplacians; the solutions to which are given by eigenvalues corresponding to their modes of vibration. Thus, the term "harmonic" is applied when one is considering Function (mathematics…“
 
KKeine Bearbeitungszusammenfassung
 
Zeile 16: Zeile 16:
* [[Spherical harmonics]]
* [[Spherical harmonics]]


[[Category:Mathematical terminology]]
[[Kategorie:Mathematical terminology]]
[[Category:Harmonic analysis]]
[[Kategorie:Harmonic analysis]]
[[Kategorie:Wikipedia.en Artikel]]

Aktuelle Version vom 11. August 2026, 09:34 Uhr

In mathematics, a number of concepts employ the word harmonic. The similarity of this terminology to that of music is not accidental: the equations of motion of vibrating strings, drums and columns of air are given by formulas involving Laplacians; the solutions to which are given by eigenvalues corresponding to their modes of vibration. Thus, the term "harmonic" is applied when one is considering functions with sinusoidal variations, or solutions of Laplace's equation and related concepts.

Mathematical terms whose names include "harmonic" include: