Sentence examples for a sufficient conditions from inspiring English sources

(a) Sufficient conditions for the dissipativity of nonlinear VFDEs in Banach space are derived.

The following theorem gives a sufficient conditions for uniqueness of coexistence solution in suitable weak competition situations.

Section 2 describes related work; Section 3 gives label and parsing method so as to provide a sufficient conditions for the ESVD; Section 4 describes the energy-scalable video decoding algorithms; Section 5 evaluates them; and Section 6 concludes.

Wang [5] has investigated a sufficient conditions of the initial data with arbitrarily positive initial energy such that the corresponding solution of (1.1) with (q=2) blows up in finite time.

Also, we have shown that compatibility of the conditional models is not alone a sufficient condition.

"It is not however a sufficient condition".

Unfortunately, he added, improved transit "is a necessary but not a sufficient condition for growth".

For most people, the Fed economists write, being underwater "is a necessary but not a sufficient condition for foreclosure".

"It's necessary, but in and of itself, it's not a sufficient condition for foreign investment".

The support he enjoys is "neither a necessary nor a sufficient condition" for power.

But it is not a sufficient condition.