As shown in (41) and (42), [f.sub.i](y) changes with y in practical operation, which is piecewise
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 , time delayed functions , and switching functions .
Actually, the piecewise
linearity is originally induced by the piecewise
linear components included in the engineering or mechanical equipment, such as switching circuits , walking machines , and gears .
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  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
However, it is tricky to lessen its energy practical because the set S of low width is unknown and the problem is no curved.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. yet, the CV model is not pertinent to images with concentration in homogeneity because it representation images as piecewise
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
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.
(2014), a two-part piecewise
function was fitted on these discrete density points for each environmental condition.
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.