A linear response function describes the input-output relationship of a signal transducer, such as a radio turning electromagnetic waves into music or a neuron turning synaptic input into a response. Because of its many applications in information theory, physics and engineering there exist alternative names for specific linear response functions such as susceptibility, impulse response or impedance; see also transfer function. The concept of a Green's function or fundamental solution of an ordinary differential equation is closely related.
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A linearresponsefunction describes the input-output relationship of a signal transducer, such as a radio turning electromagnetic waves into music or...
arbitrary function of the response variable (the link function) to vary linearly with the predictors (rather than assuming that the response itself must...
delta function, showing infinite frequency bandwidth that the Dirac delta function has), the impulse response defines the response of a linear time-invariant...
piecewise linear or segmented function is a real-valued function of a real variable, whose graph is composed of straight-line segments. A piecewise linear function...
In statistics, linear regression is a statistical model which estimates the linear relationship between a scalar response and one or more explanatory variables...
and units of the transfer function model the output response of the device for a range of possible inputs. The transfer function of a two-port electronic...
frequency response of a system is the quantitative measure of the magnitude and phase of the output as a function of input frequency. The frequency response is...
be modeled by linear systems. A general deterministic system can be described by an operator, H, that maps an input, x(t), as a function of t to an output...
In signal processing, linear phase is a property of a filter where the phase response of the filter is a linearfunction of frequency. The result is that...
susceptibility above are examples of a linearresponsefunction; sometimes the terms susceptibility and linearresponsefunction are used interchangeably. In electromagnetic...
property, states that, for all linear systems, the net response caused by two or more stimuli is the sum of the responses that would have been caused by...
using LTI ("linear time-invariant") system theory revealing their transfer functions in the frequency domain and their impulse responses in the time domain...
to account for the rate of response of materials and their non-linear behavior. See the article Linearresponsefunction. The first constitutive equation...
of the inducing electric field for arbitrary frequencies. This linearresponsefunction is a generalization of the electrical conductivity, which is usually...
Linear least squares (LLS) is the least squares approximation of linearfunctions to data. It is a set of formulations for solving statistical problems...
analysis, for example, in the case of small enough fields, the linearresponsefunction for the conductive behaviour in the material. See, for example...
functions have domain of all real numbers, with return (response) value commonly monotonically increasing but could be decreasing. Sigmoid functions most...
mathematics, a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives...
generalized linear model form of regression analysis used to model count data and contingency tables. Poisson regression assumes the response variable Y...
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