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# Steady state (electronics)

About: Steady state (electronics) is a research topic. Over the lifetime, 13054 publications have been published within this topic receiving 161910 citations.

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RAND Corporation

^{1}TL;DR: In this paper, the problem of finding a maximal flow from one given city to another is formulated as follows: "Consider a rail network connecting two cities by way of a number of intermediate cities, where each link has a number assigned to it representing its capacity".

Abstract: Introduction. The problem discussed in this paper was formulated by T. Harris as follows: “Consider a rail network connecting two cities by way of a number of intermediate cities, where each link of the network has a number assigned to it representing its capacity. Assuming a steady state condition, find a maximal flow from one given city to the other.”

2,731 citations

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TL;DR: In this article, a quantitative measure of information is developed which is based on physical as contrasted with psychological considerations, and how the rate of transmission of this information over a system is limited by the distortion resulting from storage of energy is discussed from the transient viewpoint.

Abstract: A quantitative measure of “information” is developed which is based on physical as contrasted with psychological considerations. How the rate of transmission of this information over a system is limited by the distortion resulting from storage of energy is discussed from the transient viewpoint. The relation between the transient and steady state viewpoints is reviewed. It is shown that when the storage of energy is used to restrict the steady state transmission to a limited range of frequencies the amount of information that can be transmitted is proportional to the product of the width of the frequency-range by the time it is available. Several illustrations of the application of this principle to practical systems are included. In the case of picture transmission and television the spacial variation of intensity is analyzed by a steady state method analogous to that commonly used for variations with time.

1,741 citations

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14 Jul 2011

TL;DR: Steady-State Solutions of the Navier-Stokes Equations: Statement of the Problem and Open Questions as mentioned in this paper The Navier Stokes Equation (NSE) is a stable state solution of the NSE.

Abstract: Steady-State Solutions of the Navier-Stokes Equations: Statement of the Problem and Open Questions.- Basic Function Spaces and Related Inequalities.- The Function Spaces of Hydrodynamics.- Steady Stokes Flow in Bounded Domains.- Steady Stokes Flow in Exterior Domains.- Steady Stokes Flow in Domains with Unbounded Boundaries.- Steady Oseen Flow in Exterior Domains.- Steady Generalized Oseen Flow in Exterior Domains.- Steady Navier-Stokes Flow in Bounded Domains.- Steady Navier-Stokes Flow in Three-Dimensional Exterior Domains. Irrotational Case.- Steady Navier-Stokes Flow in Three-Dimensional Exterior Domains. Rotational Case.- Steady Navier-Stokes Flow in Two-Dimensional Exterior Domains.- Steady Navier-Stokes Flow in Domains with Unbounded Boundaries.- Bibliography.- Index.

1,221 citations

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01 Jan 1948

TL;DR: In this paper, the Simple Oscillator is described as a simple system with a simple unit function and a simple harmonic motion, and the case of small coupling is discussed, as well as normal modes of vibration.

Abstract: CHAPTER II THE SIMPLE OSCILLATOR 3. Free Oscillations The General Solution. Initial Conditions. Energy of Vibration 4. Damped Oscillations The General Solution. Energy Relations 5. Forced Oscillations The General Solution. Transient and Steady State. Impedance and Phase Angle. Energy Relations. Electromechanical Driving Force. Motional Impedance. Piezoelectric Crystals. 6. Response to Transient Forces Representation by Contour Integrals. Transients in a Simple System. Complex Frequencies. Calculating the Transients. Examples of the Method. The Unit Function. General Transient. Some Generalizations. Laplace Transfoms. 7. Coupled Oscillations The General Equation. Simple Harmonic Motion. Normal Modes of Vibration. Energy Relations. The Case of Small Coupling. The Case of Resonance. Transfer of Energy. Forced Vibrations. Resonance and Normal Modes. Transient Response. Problems

1,172 citations