eigenfunction


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Related to eigenfunction: eigenfunction expansion

ei·gen·func·tion

(ī'gĕn-fŭngk-chŏn),
A solution of a differentiated equation that has solutions only for particular values of some parameters. Compare: eigenvalue.
[Ger. eigen, particular, peculiar to]
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References in periodicals archive ?
l]} and every eigenfunction is a linear combination of spherical harmonics.
Tensor series expansion of a spherical function for the use in constitutive theory of materials containing orientable particles
We then develop the wave function, [psi], of this system with the eigenfunction [[psi].
How the Klein--Nishina formula was derived: based on the Sangokan Nishina source materials
Commonly, PSWFs are known as the eigenfunctions of Sturm-Liouville differential operator [4]:
On signal and image reconstruction from discrete data
In contrast, in paraboloidal coordinates, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is an eigenfunction of [A.
The hydrogen atom--wave mechanics beyond schroedinger; orbitals as algebraic formulae derived in all four coordinate systems
Solutions to (1) completely characterize membrane motions since the eigenfunctions form a complete orthonormal basis for the space of membrane vibrations.
A Fourier Continuation Method for the Solution of Elliptic Eigenvalue Problems in General Domains
i] and other parameters are known constants depending on the characteristics of a specific VSP, meaning the eigenfunction of the VSP's SWC is also a char acteristic function, like H~Q and [eta]~Q functions, representing the VSP's performance.
Speed optimization of parallel-connected variable-speed pumps
1] is simple and isolated and all eigenfunctions corresponding to [[lambda].
Existence and multiplicity results for a class of degenerate quasilinear elliptic systems
Spatial modeling in ecology: the flexibility of eigenfunction spatial analyses.
The taxonomic distinctness of macroinvertebrate communities of Atlantic Forest streams cannot be predicted by landscape and climate variables, but traditional biodiversity indices can/A distincao taxonomica de comunidades de macroinvertebrados de corregos da Mata Atlantica nao pode ser previsto pela paisagem e por variaveis climaticas, mas os indices de bioodiversidade tradicional podem
Note that different eigenvalues can have the same eigenfunction as the eigenfunctions do not depend on l.
A spatially adaptive iterative method for a class of nonlinear operator eigenproblems
A solution of differential equation of motion was assumed as a product of eigenfunctions of displacement and time [2, 3]:
Modelling and analysis of systems with cylindrical piezoelectric transducers/Cilindriniu piezoelektriniu davikliu sistemu modeliavimas ir tyrimas
ti] within the ith discontinuity can be expanded over the modal eigenfunction basis that satisfies the boundary conditions.
Complex rectangular filter design using hybrid finite element method and modified multimodal variational formulation
Up till now, most references to the rigorous analysis of diffraction devices have implicitly assumed infinitely periodic elements [15-18], for which the eigenfunctions are known and used in an eigenfunction expansion of the diffracted fields.
A fast simulation method of silicon nanophotonic echelle gratings and its applications in the design of on-chip spectrometers

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