Results 261 to 270 of about 4,543,260 (298)

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.
openaire   +1 more source

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 ...
openaire   +3 more sources

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.
openaire   +1 more source

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
openaire   +1 more source

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
openaire   +1 more source

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 ...
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +1 more source

On the frequency dependent Lyapunov equation

IEEE Transactions on Circuits and Systems, 1986
A frequency dependent Lyapunov equation was recently used in the stability analysis of two-dimensional (2-D) digital systems, but no general solution was developed. In this paper a general form of the frequency dependent Lyapunov matrix is proposed and a set of equations which completely characterize the solution are derived.
openaire   +1 more source

Hyperbolic Equations and Frequency Interactions

1998
Nonlinear Schrodinger equations: Introduction by J. Bourgain Generalities and initial value problems by J. Bourgain The initial value problem (continued) by J. Bourgain A digressioin: The initial value problem for the KdV equation by J. Bourgain 1D invariant Gibbs measures by J. Bourgain Invariant measures (2D) by J.
openaire   +1 more source