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Optimal DMD Koopman Data-Driven Control of a Worm Robot. [PDF]
Rahmani M, Redkar S.
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Functional principal component analysis with informative observation times. [PDF]
Sang P, Kong D, Yang S.
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Intermediate scattering function of colloids in a periodic laser field.
Rusch R +4 more
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On special orthogonal eigenfunctions and eigenfunction expansions
International Journal of Mathematical Education in Science and Technology, 1996We extend some earlier results while illustrating solution techniques commonly encountered by students in undergraduate and beginning graduate courses of mathematical analysis, differential equations, and engineering mathematics. Previously, Turan's inequality was established by using a technique known as the Prufer substitution.
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Atomic Eigenfunctions and Energies
Physical Review, 1932In \textsection{}1, the calculation of the nondiagonal elements of electrostatic interaction is sketched. In \textsection{}2, attention is called to the fact that the matrix elements of ${L}_{x}$ (the $x$-component of orbital angular momentum), as calculated between spherical harmonic eigenfunctions taken with positive phase, are negative when ${m}_{l}$
Ufford, C. W., Shortley, G. H.
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Some Properties of Eigenfunctions
SIAM Journal on Applied Mathematics, 1975The purpose of this paper is to find simple relations between properties of eigenfunctions $y( x )$ and the density function $p( x )$ of the system $y'' + \lambda p( x )y = 0,y( { \pm 1} ) = 0$.
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Factorization Ladders and Eigenfunctions
Canadian Journal of Mathematics, 1949The eigenfunctions of a boundary value problem are characterized by two quite distinct properties. They are solutions of ordinary differential equations, and they satisfy prescribed boundary conditions. It is a definite advantage to combine these two requirements into a single problem expressed by a unified formula.
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