Sentence examples for satisfying definition from inspiring English sources

First, we show the global existence of weak solutions to the Boussinesq system (1.1), that is, solutions satisfying Definition 1.1.

However, since (15), (16) represent the unique functions satisfying Definition 3.1, an occurrence of a negative value of a power function on some time scale would imply a reevaluation of the nonnegativity condition.

If there exists the shift operator δ satisfying Definition 2.7, then we say the group ((mathbb{T}, Pi,F,delta)) is a matched space for the time scale (mathbb{T}).

(3.3) In the same way as in the proof of Theorem 2.1, for any atom (a_{Q}) and fixed (yin mathbb{R}^{n}), we need to show that the function (a_{Q_{y}}) is an ((s,p)_{K,L} -atom satisfying Definition 1.6.

As RSV, parainfluenza and adenoviruses have less definable seasonality and their peaks usually overlapped with those of influenza (Figure S1), we could not find a satisfying definition for their baseline and predominance periods, and therefore did not apply the rate difference model to these viruses.

Paradoxically, there is still no satisfying definition for CGI.

As Fodor argues, there is a real paucity of satisfying definitions out there, suggesting that semantic atomism may be the norm in the lexicon.

Note also that the uniqueness of a replication cost (p^{r}_{0} x,mathcal {C})) is not ensured and, in fact, there is no reason to expect that it will always hold in every market model satisfying either Definition 10 or Definition 14 (for a counterexample, see Proposition 4).

Indeed, given a family of functions (psi _M) satisfying the conditions in Definition 7.1, the functions (tilde{psi }_M=exp (psi _M)) satisfy Definition 7.3.

Philosophers of the eighteenth century argue over whether a beautiful object is so by virtue of satisfying the definition of the object or independently of definitions.

Many in this country recoiled from the memory of the Civil War and became resolute pacifists, and I understand and respect that, even though I think that it came as near to satisfying the definition of a "just war" as any in history.