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Aircraft Engineering and Aerospace Technology, 1944
THE “escalator” method of solving frequency equations, developed by Morris and Head (Ref. 1), and the natural extension of a Lemma by Professor Temple, together enable simple proofs to be given of two important fundamental theorems:
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THE “escalator” method of solving frequency equations, developed by Morris and Head (Ref. 1), and the natural extension of a Lemma by Professor Temple, together enable simple proofs to be given of two important fundamental theorems:
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Frequency Solvability Conditions for Algebraic Riccati Equations
IFAC Proceedings Volumes, 1992Abstract Necessary and sufficient conditions for the existence of the stabilizing solution of the algebraic Riccati equation are derived both for the continuous and discrete-time cases under the weakest possible assumptions imposed on the initial data. The conditions are involving an associated Popov function.
Vlad Ionescu, Martin Weiss
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Normalized Numerical Solutions for Rayleigh's Frequency Equation
The Journal of the Acoustical Society of America, 1967In this paper, limiting forms of a transcedental-frequency equation, attributed originally to Lord Rayleigh, are derived. The limiting forms are examined and their roots are used to find the exact normalized roots the original equation in the complex plane.
Potter, D. S., Leedham, C. D.
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Frequency dependent transport equation for a magnetoplasma
Plasma Physics, 1970The equation for the pair correlation function form the BBGKY hierarchy has been solved for a magnetoplasma under the influence of a weak external force proportional to exp (i omega 1t) using an operator method and a time-periodic ansatz for the one- and two-particle distribution functions.
Salat, A., Joyce, G.
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A gyrotron frequency detuning equation
International Journal of Infrared and Millimeter Waves, 1983Estimates of gyrotron frequency detuning obtained from a small-signal analysis are compared with numerical calculations. There are significant differences under normal operating conditions.
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Reduction of structural frequency equations.
AIAA Journal, 1973References 1 Goldstein, R. J. and Hagen, W. R, "Turbulent Flow Measurements Utilizing the Doppler Shift of Scattered Laser Radiation," The Physics of Fluids, Vol. 10, 1967, pp. 1349-1351. 2 Pike, E. R., Jackson, D. A., Bourke, P. J., and Page, D. I., "Measurement of Turbulent Velocities from the Doppler Shift in Scattered Laser Light," Journal of ...
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Here I unify frequency across the domains, using Venus...as my guide...sounds crazy...it works..I DID IT!!!!! Yayayayayay I actually did it!!!! Yay me!!
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On the Frequency Equations of Combined Systems
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1996Summary: Two primary systems are considered: An \(n\)-mass oscillator and a one-dimensional continuous structure the displacements of which are discretized by its first \(n\) eigenfunctions. If to each of these systems the same spring-mass system is attached for example at their free ends, it may be expected intuitively that the frequency equations of ...
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Dissipative Maxwell's equations at low frequencies
Mathematical Methods in the Applied Sciences, 1990AbstractA study of the low‐frequency behaviour of solutions to dissipative Maxwell's equations with discontinuous coefficients is given.
Ramm, A. G. +3 more
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Frequency Entrainment for Almost Periodic Evolution Equations
Proceedings of the American Mathematical Society, 1986A theorem of Massera stating that periodic solutions of equations are (under a simple hypothesis) entrained is generalized to limit periodic equations and (with a weak definition of entrainment) to almost periodic equations. An error is explained in a stronger result claimed by Cartwright.
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