Definition of eigenfunction in English:
eigenfunction
nounˈʌɪɡənˌfʌn(k)ʃ(ə)nˈaɪɡənˌfəŋ(k)ʃən
Mathematics Physics Each of a set of independent functions which are the solutions to a given differential equation.
Example sentencesExamples
- Within the next three years Stone published 10 more papers on various aspects of the theory of orthogonal expansions, especially expansions in terms of eigenfunctions of linear differential equations.
- From 1939 Titchmarsh concentrated on the theory of series expansions of eigenfunctions of differential equations, work which helped to resolve problems in quantum mechanics.
- In this thesis he studied the representation of arbitrary functions by the eigenfunctions of partial differential equations and other given sets of functions.
- In these papers a special role is played by expansions in terms of the eigenfunctions of linear differential operators.
- In those cases, we see two eigenfunctions with approximately the same statistical wavelength and usually with similar eigenvalues and relative spectral power.
Definition of eigenfunction in US English:
eigenfunction
nounˈaɪɡənˌfəŋ(k)ʃənˈīɡənˌfəNG(k)SHən
Mathematics Physics Each of a set of independent functions which are the solutions to a given differential equation.
Example sentencesExamples
- In these papers a special role is played by expansions in terms of the eigenfunctions of linear differential operators.
- In those cases, we see two eigenfunctions with approximately the same statistical wavelength and usually with similar eigenvalues and relative spectral power.
- From 1939 Titchmarsh concentrated on the theory of series expansions of eigenfunctions of differential equations, work which helped to resolve problems in quantum mechanics.
- In this thesis he studied the representation of arbitrary functions by the eigenfunctions of partial differential equations and other given sets of functions.
- Within the next three years Stone published 10 more papers on various aspects of the theory of orthogonal expansions, especially expansions in terms of eigenfunctions of linear differential equations.