Word: eigenfunction
Part of speech: Noun
Syllables: ei
gen
func
tion
Definition: A function \phi such that, for a given linear operator D, D\phi=\lambda\phi for some scalar \lambda (called an eigenvalue).
Morphemes:
Affix: eigen-
Language: en
PoS: Prefix
Meaning: Forms terms pertaining to or related to eigenvectors, eigenvalues; especially for naming mathematical objects which are not affected by a given transformation except for by scalar multiplication.
Etymology Compounds: Affix: eigen
Language: de
Decoded: eigen
Meaning: own
Affix: function
Language: en
PoS: Verb
Meaning: To have a function.
Etymology Compounds: Affix: functiō
Language: la
Decoded: functio
Meaning: performance, execution