Sentence examples for functional proposed from inspiring English sources

The pure corrected exchange functional proposed by Becke (B) [27] and the gradient-corrected correlation functional proposed by Lee, Yang and Parr (LYP) [28] were applied for calculations.

The Lyapunov functional proposed in (4) is different from our previous ones in [18, 19].

The smoothing functional proposed by Ogada et al. [43] produces superior results compared with the Perona-Malik (PM) [44], D- α-PM [45], and total variation [36].

All calculations were performed using STATE program package [8] based on density functional theory within a generalized gradient approximation, and we employed an exchange-correlation energy functional proposed by Perdew et al. [9].

The free energy functional proposed by Gompper et al. [1 4] has the form psi u)=int_{Omega}varphi u, nabla u, Delta u),dx, with the density given by varphi u, nabla u, Delta u)=f u)+frac{1}{2}a(u)|nabla u|^{2}+frac{1}{2}gamma(Delta u)^{2}.

The resulting M lists of GO terms are then compared, in pairs, using the similarity measure (I-functional) proposed in [ 17] which considers not only the overlap between the lists but also the semantic relationships between GO terms.

The convergence properties of two previously suggested energy functionals are analyzed, and a new functional is proposed, which unifies some of the advantages of the other functionals.

The PC-index probability distribution functions were fitted by the functional form proposed by Castaing et al. [Velocity probability density functions of high Reynolds number turbulence.

In this paper, a generalized objective functional, which has been developed using the combinational estimation and an extended stabilizing functional, is proposed.

A new design method based on such a Lyapunov functional is proposed to construct the observer.

These facts confirm Hacquard's hypothesis, but also the hierarchy of functional heads proposed in Cinque (1999).