Discontinuous function

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(Math.) a function which for certain values or between certain values of the variable does not vary continuously as the variable increases. The discontinuity may, for example, consist of an abrupt change in the value of the function, or an abrupt change in its law of variation, or the function may become imaginary.
See under Discontinuous.

See also: Discontinuous, Function

References in periodicals archive ?
As Goldbloom Bloch states, all the examples for an open discontinuous function require discontinuity at an infinite number of points.
Theoretical analysis and experimental results showed that using the proposed method in this paper can improve the SNR of the output signal and reduce the MSE of the output signal, improve the soft threshold function with constant deviation and the hard threshold with discontinuous function problem, improve the different decomposition scales to adopt the same threshold value to deal with the noise problem, and verify that the proposed method is practical, effective, and feasible, compared with the traditional method of denoising threshold function that the proposed approach can effectively filter the noise in the signal.
But Gibbs phenomenon occurs when the Fourier representation method is applied to a non-periodic or discontinuous function [6].
The discontinuous function will not affect the effectiveness and convenience of the method and solutions are valid for the whole domain.
If V is the number of carriers, P the predicted number, and I the weather prediction (to borrow my earlier notation), the question for the Possibility Theorem is whether V is a continuous or discontinuous function of P, for a given value of I.
In the next section it is shown that the Fed will only restrict itself to this discrete set of announcements if it is compelled to do so by public expectations which are a discontinuous function of Fed announcements.
This work develops a high accuracy, fast algorithm to evaluate the Fourier transform of a 2D discontinuous function whose support area has an arbitrary boundary shape.
The problem is that such fixed points cannot be proven to exist for a discontinuous function.
Keywords: Discontinuous Functions Interpolation Approximation Functional Spaces Fractals.
Adaptive ENO-wavelet transforms for discontinuous functions, Technical Report 99-21
The modern city of doing is one of discrete and discontinuous functions dispersed in different locations (home, workplace, sports field) requiring different modes of behaviour (parent, employee, athlete or fan) dispersed in a spatial and experiential void.
2c,d) abruptly truncate the incident field at the edge and, thus, transform these integrands into discontinuous functions that violate the wave equation.