Discontinuous function


Also found in: Encyclopedia, Wikipedia.
(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 ?
Caption: Figure 2: The Gamma function showing a highly nonlinear and discontinuous function.
Thus, to tackle the difficulty related to the numerical integration after enrichment, we use a mapping technique rather than using a discontinuous enrichment because the later requires integrating discontinuous function, which complicates the numerical integration.
We prove the pointwise convergence of the presented approximation [F.sub.n] to the discontinuous function f over the whole interval.
As Goldbloom Bloch states, all the examples for an open discontinuous function require discontinuity at an infinite number of points.
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.
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.
For example, when we consider the Cantor set, we can find the local fractional derivative of discontinuous function T (however, T is a local fractional continuous function).
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.
473) an illustration of that supposedly rarest of flowers, a discontinuous function. It is Simon, however, who makes the transition from pure mathematics most clearly - as he nicely puts it, with respect to his own paper on election predictions:
Full browser ?