Sentence examples for regularity stability from inspiring English sources

The important properties of a dual pseudo spline, such as regularity, stability, and linear independence, were derived in [9].

Some topics for this kind of equations, such as existence and regularity, stability and control problems, have been investigated by many mathematicians; see [11 16] for example.

Many other mathematicians also work on properties of solutions to equations (4), such as the regularity, stability, convergence and so on, see [4 9].

The regularity and stability of them are discussed.

Nevertheless, the regularity and stability of the level set function cannot be availably maintained during the evolving process.

In this section, we discuss the regularity and stability of a scaling function generated by the refinement mask of a smoothed pseudo-spline.

This study critically analyses the deflection equation of the roof by the energy method, derives the conditions of roof breakage and combined with concrete engineering practice analyses, determines roof movement regularity and stability in solid dense backfill mining.

In order to get divergence free and curl free wavelets, Zhuang and Yang presented smoothed pseudo splines in [12] and discussed the regularity and stability of smoothed pseudo splines.

For example, in [13], Obersnel studied the existence, regularity and stability properties of periodic solutions of a capillarity equation in the presence of lower and upper solutions -biggl(frac{u'}{sqrt{1+u^{prime2}}}biggr)=f t,u).

Under the assumptions of regularity, asymptotic stability and index one property of the descriptor system representing the structure with tuned mass dampers, optimization criterion is defined in terms of H∞ norm of the system.

have drawn intensive interest due to their remarkable chemical and physical properties such as chemical inertness, structural regularity, mechanical stability, electrical conductivity, and biocompability.