Sentence examples for by using the variant from inspiring English sources

In [23], Yang et al. obtained the following theorems by using the variant fountain theorem.

In Section 3, our main result will be obtained by using the variant generalized weak linking theorem, and the Ambrosetti-Rabinowitz condition will be improved.

In this paper, we investigate the existence of infinitely many periodic solutions for a class of subquadratic nonautonomous second-order Hamiltonian systems by using the variant fountain theorem.

In [26], (W t,u)) being asymptotically quadratic as (|u|rightarrowinfty), by using the variant fountain theorem, Chen obtained the following result.

In [7], we have studied the existence of multiple solutions for problem (1) by using the variant fountain theorem without the condition (c

For example, Zou and Li [22] proved that the system (1.1) has infinitely many homoclinic orbits by using the variant fountain theorem; Chen [8] obtained the existence of a ground state homoclinic orbit for (1.1) by a variant generalized weak linking theorem due to Schechter and Zou.

In reality, the authors targeted the slightly larger haplogroup U8b by using the variants 9055A and 12308G for identification.

For the comparison using pibase v.1.4.5 [ 30] we used all variant positions called for the respective exomes, while for the genomes we reduced the number of query positions by using the variants not called in all four and not called in both biopsy or blood samples and with a maximum 1000 genomes frequency of 20%.

It is also demonstrated that one can obtain entire potential energy surfaces with millihartree accuracies by combining the ECCSD theory with the non-iterative a posteriori corrections obtained by using the generalized variant of the method of moments of coupled-cluster equations.

The contribution of residue size and proximity (H-bonding distance, van der Waals contact) were investigated by using the E287D variant, which incorporates the smaller, negatively charged aspartate.

> -wrap-foot> By using the sequence variant and associated geographical information, we believe the software SVAMP will aid greatly in analysing isolates from an outbreak, as well as predicting the population structure in epidemiological studies.