eigenvectors love

# eigenvectors

## Definitions

### from Wiktionary, Creative Commons Attribution/Share-Alike License

• n. Plural form of eigenvector.

## Etymologies

Sorry, no etymologies found.

## Examples

• The eigenvectors are the directions in which a matrix A transforms a vector “eigenly”–it doesn’t change the vector’s direction, it only dilates it by the scalar amount z.

Source Code: Preisendorfer's Rule N « Climate Audit

• “Math professors love us because Google has made eigenvectors relevant to every matrix algebra student in America,” says Marissa Mayer.

In the Plex

• Observe any N variables that are not fully correlated and you can summarize the information in an N by N correlation matrix which has N orthogonal real eigenvectors.

A Third Choice (ID Hypothesis)

• In the case that the vector is normalized, it will, from (3.1), represent a possible state of the system, and in the event that it is the sum of a pair of eigenvectors of an observable B with distinct eigenvalues, it will not itself be an eigenvector of B, but will be associated, from (3. 4b), with a set of probabilities for showing one or another result in B-measurements.

Quantum Mechanics

• The annullment of eigenvectors on the Weyl tensor gives the N-type solutions, of which the pp-waves for gravity waves are an example of.

Dark Matter: Still Dark.

• Now eigenvectors are basically symmetric or “stable” solutions, a classical example being the way a rotating rigid body evolves to rotate about a principle axis, and this symmetry is also a key aspect of my proposal.

Science and Unobservable Things

• The solution types are determined by eigenvectors of the Weyl curvature and their eigenvalues.

Does Space Expand?

• Why eigenvalues and eigenvectors (a.k.a. eigenstates)?

Everything You Ever Wanted to Know About Quantum Mechanics, But Were Afraid to Ask

• This classification involves Killing eigenvectors of the Weyl curvature.

A Dark, Misleading Force

• In effect, as you go from 0 to m retained PCs, you define a path from PLS to OLS in which each step is generated by …, the truncated eigenvector matrix with 1,2,..,m eigenvectors.

More on "Naturally Orthogonal" « Climate Audit

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