eigenvalue love

# eigenvalue

## Definitions

### from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun The factor by which the magnitude of an eigenvector is changed by a given transformation.

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

• noun linear algebra The change in magnitude of a vector that does not change in direction under a given linear transformation; a scalar factor by which an eigenvector is multiplied under such a transformation.

• noun (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant

## Etymologies

### from The American Heritage® Dictionary of the English Language, 4th Edition

[Partial translation of German Eigenwert : eigen-, peculiar, characteristic (from eigen, own, from Middle High German, from Old High German eigan; see aik- in Indo-European roots) + Wert, value.]

eigen- +‎ value

## Examples

• I'm afraid we will never know as the eigenvalue of Monckton's complex number is imaginary, also known as 'Lord'.

Monckton jumps the land shark. Gets eaten EliRabett 2010

• Realistically, Pinker would have bludgeoned Gladwell with something else if he'd corrected the spelling of "eigenvalue" in time for the book.

• Had someone noticed, "igon value" could have been switched to "eigenvalue" in time to deny Pinker the mocking bludgeon of the "Igon Value Problem."

• It came as a result of his dissatisfaction with the quantum condition in Bohr's orbit theory and his belief that atomic spectra should really be determined by some kind of eigenvalue problem.

• An '' 'eigenvalue' '' of a square [[matrix]] A is a [[complex number]]

Conservapedia - Recent changes [en] Ed Poor 2010

• An '' 'eigenvalue' '' of a square [[matrix]] A is a [[complex number]]

Conservapedia - Recent changes [en] Ed Poor 2010

• Realistically, Pinker would have bludgeoned Gladwell with something else if he'd corrected the spelling of "eigenvalue" in time for the book.

• This is in reference to a faulty transcription of "eigenvalue" Gladwell makes in an article about Nassim Taleb.

SEEDMAGAZINE.COM 2009

• "eigenvalue" in time to deny Pinker the mocking bludgeon of the "Igon Value Problem."

• Transcendental equations came up many times as mathematical physics developed — especially in boundary value and eigenvalue problems.