In fact, there are many functions not satisfying the condition (mathrm{(S2)}) in [39], while they satisfy (A6), for example, the function (g t,u =e^{-t} u+u^{frac{1}{2}})).
"Doing well by doing good" has become a popular business mantra: the phrase conjures up a Panglossian best-of-all-possible-worlds, the idea that firms can be successful by acting in the broader interests of society as a whole even while they satisfy the narrow interests of shareholders.
One popular response to incomplete preferences is to claim that, while rational preferences need not satisfy the axioms of a given representation theorem (see section 2.2), it must be possible to extend them so that they satisfy the axioms.
While they may satisfy the craving to fill up the void, as quickly as possible, they bear no historical relationship to the events that brought the void into being.
But while they may satisfy a curious tidepooler, the discerning ichthyologist demands more.
They said that while they were satisfied that Mr. Santorum's rise was further fracturing the anti-Romney vote among him, Mr. Paul, Newt Gingrich and Gov. Rick Perry of Texas, they could take nothing for granted when only half of likely Iowa caucusgoers say they have committed to a candidate.
In their ruling, the judges said that while they were satisfied that the preacher would not face ill-treatment if deported, he could not face a retrial in Jordan because the key evidence against him was obtained by torturing others.
The judges ruled that, while they were satisfied that the preacher would not face ill-treatment in Jordan, the UK could not deport him without assurances from Jordan that evidence gained through torture would not be used against him.
A quite different feature from our previous work is that certain force equilibrium conditions in the longitudinal direction must be used for trilayer systems, while they are satisfied automatically in the analysis of bilayer systems.
The results indicated that, using the same amount of material, the optimum sections offered up to 25%and75%5% more flexural strength for laterally braced and unbraced CFS beams, respectively, while they also satisfied predefined manufacturing and design constraints.
In this way you satisfy their emotional needs while they help you satisfy your financial needs.
