piecewise


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piecewise

(ˈpiːsˌwaɪz)
adv
1. (Mathematics) maths with respect to a number of discrete pieces
2. formal in pieces or by degrees
References in periodicals archive ?
As shown in (41) and (42), [f.sub.i](y) changes with y in practical operation, which is piecewise linear.
However, it is well known that most systems contain conventional nonlinear terms like piecewise linear functions [14-17], integer order polynomials [8, 18], sine functions [19], time delayed functions [20], and switching functions [21].
Actually, the piecewise linearity is originally induced by the piecewise linear components included in the engineering or mechanical equipment, such as switching circuits [6], walking machines [7], and gears [8].
But for the wells which has large depth and pressure difference, it must calculate piecewise. In 1965, Hagedorn-Brown built an entirely empirical correlation based on gas-liquid two phase slippage to be suitable for the flow model of long pipes (Hagedorn and Brown, 1965).
Since the pioneering work [12] of Li on the convergence of Ulam's method for the Lasota-Yorke class of piecewise [C.sup.2] and stretching mappings, there have been many works on the numerical study of the statistical properties of chaotic systems in mathematical and physical sciences.
With this subdivision, each interval has a specific switching signal vector [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], and as a result of the change in switch state, the corresponding load currents are piecewise continuous.
However, it is tricky to lessen its energy practical because the set S of low width is unknown and the problem is no curved[15].Some basic versions of the MS model have been planned, such as PS model, which signify contour S as the zero level of a function call level set occupation, and then segmentation income by embryonic a level set equation.[19] yet, the CV model is not pertinent to images with concentration in homogeneity because it representation images as piecewise even functions.
In the domain with a smooth changed in the intensity value, most of second-order models have a tendency to converge to a piecewise constant image, while the fourth-order PDEs models converge to a piecewise planar image.
Our model assumes that the restoring force of the spring is given by a piecewise linear function of a relative displacement of neighbouring masses, i.e.
Among the new results is a piecewise linear regression analysis of all subjects who received intrathecal (IT) administration in the phase 2a study and the prior phase 1/2 study.
To ensure a smooth development and immediate operation, a "piecewise development strategy" has been adopted, by which the database system is designed, constructed, and operated piece by piece over time.