Sentence examples for generalize ones from inspiring English sources

Our results complete recent ones in [[13], Corollary 1, Corollary 3], extend similar ones in [[1], Theorem 1.3, Theorem 1.4], which are proved for (4), and generalize ones in [3, 10], which are stated for the particular cases n = 3, 4. In Section 3 we study the problem of the nonexistence of solutions vanishing at infinity of (1).

It was motivational (you no longer even try), emotional (you whimper and grow resigned), and cognitive (you generalize one experience to apply to a broader existence).

In this paper, we generalize one of the most important signal processing tools – windowed Fourier analysis – to the graph setting.

We propose new entropy admissibility conditions for multidimensional hyperbolic scalar conservation laws with discontinuous flux which generalize one-dimensional Karlsen Risebro Towers entropy conditions.

These designs generalize one of the four non-geometric self-orthogonal 3- 32,8,7) designs of 2-rank 16 (V.D. Tonchev, 1986 [12]), and provide the only known infinite family of examples where affine geometry designs are not characterized by their rank.

If (tau_{ij}(t)=tau_{ij}), the system (4.1) is the system (1) in [16], our criteria on the existence of positive periodic solution are different from those in [16], which generalize one of the main results in [16].

We analyzed a specific scenario and generalized one that corresponds to realistic indoor environments.

We continue the trend by generalizing one of our recent papers [8].

This result generalized on the earlier ones in the literature.

One may generalize the one-locus procedure above in order to simultaneously, or sequentially, search for two distinct disease loci on the genome.

In the present paper, we present some results on time scales considering classical solutions which generalize the ones from the continuous case.