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- Eigenfunction abstract "In mathematics, an eigenfunction of a linear operator, A, defined on some function space, is any non-zero function f in that space that returns from the operator exactly as is, except for a multiplicative scaling factor. More precisely, one hasfor some scalar, λ, the corresponding eigenvalue. The solution of the differential eigenvalue problem also depends on any boundary conditions required of . In each case there are only certain eigenvalues that admit a corresponding solution for (with each belonging to the eigenvalue ) when combined with the boundary conditions. Eigenfunctions are used to analyze .For example, is an eigenfunction for the differential operatorfor any value of , with corresponding eigenvalue . If boundary conditions are applied to this system (e.g., at two physical locations in space), then only certain values of satisfy the boundary conditions, generating corresponding discrete eigenvalues .Specifically, in the study of signals and systems, the eigenfunction of a system is the signal which when input into the system, produces a response with the complex constant .".
- Eigenfunction thumbnail Drum_vibration_mode12.gif?width=300.
- Eigenfunction wikiPageExternalLink index.shtml.
- Eigenfunction wikiPageID "228601".
- Eigenfunction wikiPageRevisionID "603376772".
- Eigenfunction hasPhotoCollection Eigenfunction.
- Eigenfunction subject Category:Functional_analysis.
- Eigenfunction comment "In mathematics, an eigenfunction of a linear operator, A, defined on some function space, is any non-zero function f in that space that returns from the operator exactly as is, except for a multiplicative scaling factor. More precisely, one hasfor some scalar, λ, the corresponding eigenvalue. The solution of the differential eigenvalue problem also depends on any boundary conditions required of .".
- Eigenfunction label "Autofunción".
- Eigenfunction label "Autofunzione".
- Eigenfunction label "Eigenfunctie".
- Eigenfunction label "Eigenfunction".
- Eigenfunction label "Fonction propre".
- Eigenfunction label "Równanie własne".
- Eigenfunction label "固有関数".
- Eigenfunction label "示性函数".
- Eigenfunction sameAs Autofunción.
- Eigenfunction sameAs Fonction_propre.
- Eigenfunction sameAs Autofunzione.
- Eigenfunction sameAs 固有関数.
- Eigenfunction sameAs Eigenfunctie.
- Eigenfunction sameAs Równanie_własne.
- Eigenfunction sameAs m.01h8r_.
- Eigenfunction sameAs Q1307821.
- Eigenfunction sameAs Q1307821.
- Eigenfunction wasDerivedFrom Eigenfunction?oldid=603376772.
- Eigenfunction depiction Drum_vibration_mode12.gif.
- Eigenfunction isPrimaryTopicOf Eigenfunction.
