Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. Plural form of eigenmode.
Etymologies
Sorry, no etymologies found.
Examples

June 7th, 2006 at 11: 39 pm s.y.: The alleged PCA misuse was in not using enough eigenmodes to make the reconstruction insensitive to the number of eigenmodes used.

When this is the case, the eigenvectors of the data set resemble the theoretical orthogonal spatial eigenmodes of the solutions.

The Fourier expansion has to be replaced by the expansion into the eigenmodes of some more general operators.

Since we are interested in the robust features of the spatial correlation, you don't want to include too many PCs or eigenmodes (each with ever more localised structures) since you will be including features that are very dependent on individual (and possibly suspect) records.

In this case, I didn't find people expressing shock that they have worked out the number of eigenmodes used in an analysis, when it was clearly stated in the paper, particularly interesting.

Schneider et al (2004) looked much more closely at how many eigenmodes can be usefully extracted from the data and how much of the variance they explain.

In the strongcoupling regime, quantum emitters in a microresonator absorb and spontaneously reemit a photon many times before dissipation becomes effective, giving rise to mixed lightmatter eigenmodes.

This also excellent from the perspective of the interested layman who wants to learn about physics but isn't worried about actually finding the eigenmodes of coupled oscillators or whatever.

Lachi’ezeRey (2004) found an analytical expression of the eigenmodes of PDS, whereas Aurich et al. (2005) computed numerically the first 10 521 eigenfunctions up to the ℓ = 155 mode and also supported the PDS hypothesis for explaining WMAP data.
Comments
Log in or sign up to get involved in the conversation. It's quick and easy.