Sentence examples for exists a sufficient from inspiring English sources

Case 2. There exists a sufficient large, such that (314).

(iv) there exists a sufficient large, such that (34)  .

there exists a sufficient large, such that (34).

By (2.17), there exists a sufficient small such that (3.16).

Assume that there exists a sufficient small positive real number, such that (4.2). (4.3).

Case 1: { s n } is eventually decreasing, i.e., there exists a sufficient large positive integer k ≥ 1 such that s n > s n + 1 holds for all n ≥ k.

Here we need to look for another way to morally justify an obligation to make available for as many patients as possible medicinal products or therapies for which there does not seem to exist a sufficient commercial incentive to start a development and production process.

Also, we will show, with very few restrictions, that there exists a necessary and sufficient condition for the nonexistence solutions which are stable outside a compact set of problem like (1.1).

With respect to asymptotic periodicity, it is natural to ask: if there exists a necessary and sufficient condition for asymptotically ω-periodic functions due to both its mathematical interest and its applications.

As to the stability, it has been shown in previous works [26 29] that there exists a necessary and sufficient condition for positive-valued group delay of the designed allpass filter with order as follows: (1).

Furthermore, if we consider asymptotically ω-periodic functions in the Stepanov sense, it is also natural to ask: if there exists a necessary and sufficient condition for asymptotically ω-periodic functions in the Stepanov sense.