Therefore, the application of the describing function method requires additional justification.

Lambda calculus provides a theoretical framework for describing functions and their evaluation.

The amplitude of oscillation is generally difficult to predict, but it can often be accurately estimated using the describing function method.

Although the describing function method can produce reasonably accurate results for a wide class of systems, it can fail badly for others.

The report laid out fifteen Functional Areas for pediatric response - general areas describing functions, tasks, and missions of emergency response.

However, teleological terminology is often used by biologists as a sort of shorthand way of describing function, even though they know it is technically incorrect.

Other types of describing functions that have been used are DFs for level inputs and for Gaussian noise inputs.

D. P. Atherton: The Describing Function (teaching module)

This work introduced the memristor as a programmable gain for closed loop systems and derived an approximate describing function for the pinched hysteresis loop.

The higher-order sinusoidal input describing functions (HOSIDF) were first introduced by dr. ir.

Furthermore, the HOSIDFs provide a natural extension of the widely used sinusoidal describing functions in case nonlinearities cannot be neglected.

"The control of a stirred tank reactor with hysteresis in the control element-II: Describing function analysis" (with J.C. Hyun).

The describing function (DF) method of Nikolay Mitrofanovich Krylov and Nikolay Bogolyubov is an approximate procedure for analyzing certain nonlinear control problems.

From a control engineering point of view, the key achievement of the Kiev School was the development by Krylov and Bogolyubov of the describing function method for the analysis of nonlinear control problems.

The first recorded use of the term commutative was in a memoir by François Servois in 1814, which used the word commutatives when describing functions that have what is now called the commutative property.

In addition the higher order sinusoidal input describing functions (HOSIDF), describe the response of a class of nonlinear systems at harmonics of the input frequency of a sinusoidal input.

Also, in the case where the conditions for Aizerman's or Kalman conjectures are fulfilled, there are no periodic solutions by describing function method, but counterexamples with periodic solutions (hidden oscillation) are well known.

The describing function method attempts to predict characteristics of those oscillations (e.g., their fundamental frequency) by assuming that the slow system acts like a low-pass or bandpass filter that concentrates all energy around a single frequency.

The HOSIDFs are an extension of the sinusoidal input describing function which describe the response (gain and phase) of a system at harmonics of the base frequency of a sinusoidal input signal.

For describing functions of three dimensions, away from the coordinate origin, the coefficients of the multipole expansion can be written as functions of the distance to the origin, - most frequently, as a Laurent series in powers of .

Even if the output waveform has several modes, the method can still provide intuition about properties like frequency and possibly amplitude; in this case, the describing function method can be thought of as describing the sliding mode of the feedback system.

On paper all have done so, although in reality most statements of departmental objectives have tended to be rather vague and generalized, describing functions or responsibilities rather than underlying goals or objectives (Financial Management in Government Departments, 1983; Gray and Jenkins, 1985, pp. 84-7).