Sentence examples for functional does not from inspiring English sources

The existence of nontrivial 2π time periodic solutions of nonlinear wave equations on Sn is proved in the case when the nonlinear term g u) ~ ¦u¦ p − 2u, p is less than the critical exponent 2(n + 1)(n − 1), by suitable approximation and variational methods, even though the associated functional does not satisfy the Palais-Smale condition for n odd.

Functional does not scale to where they are so how do they do it?

This definition for the TV functional does not require differentiability or even continuity of.

(c) The proposed new Lyapunov functional does not depend on time-varying delay (r ( k )), and some conservativeness can be reduced.

However, the fusion of two peptides individually functional does not necessarily lead to a bi-functional fusion protein, according to our own experience.

Logitech's Fold-Up Keyboard, while super functional, doesn't really follow in the same thin and light vein.

Also check out the new MySpace iPhone app which, while quite functional, doesn't replace the contacts list or provide chat.

Although many studies show that the NMR data are corroborated by DFT-based energy calculations [26, 27], on our example the DFT computation with the B3LYP functional do not accurately predict the relative energies [28].

Thus, for the important class of chromophores that bilins constitute, the widely established trend that hybrid functionals give more accurate excitation energies than pure functionals does not apply.

Our continuous additive functionals do not necessarily admit bounded variation in general.

Next, we establish a surprising result that the asymptotic variances of plug-in sieve M estimators of irregular (i.e., slower than root-T estimable) functionals do not depend on temporal dependence.