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Fountain equation and frequency calculation

2018 European Frequency and Time Forum (EFTF), 2018
An algorithm of data processing, based on fountain equation noise model is presented. Calculation of fountain frequency measurement for two years demonstrate a coincidence with ‘international’ fountain within 1∗10−16.
Yu. S. Domnin, O. Kupalova
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The Telegraphist's Equations at Ultra-High Frequencies

Physics, 1935
The telegraphist's or long line equations are derived from the Maxwell field equations for ultra-high frequencies. By taking into account retardation and the time rate of change of current, a new circuit parameter is obtained in addition to the four usually found in the conventional low frequency equations.
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Studying Word Equations by a Method of Weighted Frequencies

Fundamenta Informaticae, 2018
We briefly survey some results and open problems on word equations, especially on those equations where the right-hand side is a power of a variable. We discuss a method that was recently used to prove one of the results, and we prove improved versions of some lemmas that are related to the method and can be used as tools when studying word equations ...
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On Refinement Equations Determined by Pólya Frequency Sequences

SIAM Journal on Mathematical Analysis, 1992
Summary: The refinement equation \(\varphi(x)=\sum_{i\in\mathbb{Z}}a_ i\varphi(2x- i)\), \(x\in\mathbb{R}\), for a given sequence \({\mathbf a}=\{a_ i:\;i\in\mathbb{Z}\}\) has found important application in the study of both stationary subdivision schemes for the generation of curves and surfaces as well as the construction of orthonormal wavelets by ...
Goodman, T. N. T., Micchelli, Charles A.
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Frequency Solvability Conditions for Algebraic Riccati Equations

IFAC Proceedings Volumes, 1992
Abstract 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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Reduction of structural frequency equations.

AIAA Journal, 1973
References 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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Normalized Numerical Solutions for Rayleigh's Frequency Equation

The Journal of the Acoustical Society of America, 1967
In 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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Analysis of transmission line equations at high frequency*

1999 International Conference on Computational Electromagnetics and its Applications. Proceedings (ICCEA'99) (IEEE Cat. No.99EX374), 2003
The limitations of the classical transmission line equations may cause a large error when using them to deal with EM problems at very high frequency. On the basis of the Maxwell equations, with the help of the integration equation method, new transmission line equations are induced in the frequency domain, and the results of a special situation from ...
null He Wei, null Gao Yougang
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A gyrotron frequency detuning equation

International Journal of Infrared and Millimeter Waves, 1983
Estimates 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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Frequency equation of axisymmetric guided waves in logs

Proceedings of 2011 International Conference on Electronic & Mechanical Engineering and Information Technology, 2011
According to the structure characteristics of logs, a log model with double layers (i.e. heartwood and sapwood) was constructed. Through the transmission characteristics of guided wave and the assumption of rigid connection at interface of heartwood and sapwood, the frequency equation of axisymmetric guided waves transmission in logs was deduced.
Huimin Yang, Lihai Wang, Li Li
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