Sentence examples for to show by using from inspiring English sources

The equations of motion for the individual modes are used to show, by using a verion of Melnikov's method, that chaotic motions exist for the first mode dynamic equations.

Further, it is easy to show by using Theorem 3.1 that there exists at least one solution for (14) which is bounded.

Moreover, EGFR contribution to metastasis was shown by using MTLn3 rat mammary adeno-carcinoma cells injected into the fat pad of mice.

The process of vessel co-option was not limited to gliomas, as shown by using rat mammary adenocarcinoma in the same model conditions.

However, a 1992 survey reported that 29.5% of healthy cattle and 84.3% of cattle with reproductive disorders in Japan had antibodies to C. burnetii shown by using IFA (4 ).

Under assumptions (H1 - H3), the existence and uniqueness of mild solution to system (2.6) are easily shown by using Picard's iterative method (see Revathi et al. [24]).

The process is shown by using it to estimate the net-benefit over 70 years for an investor related to a fictive building in London with flexible ceilings and the same building with rigid ceilings.

He also showed, by using iron to recover the copper, that this displacement of one metal from its salt by using a second metal was not because of transmutation, as many had held.

Some of these proliferating cells are oligodendroglial cells as shown by using antibodies to Olig2 and Nkx2.2.

Woodrats had been shown by using microscopy to be infected by T. cruzi and T. cruzi like organisms (6 ); however, no definitive DNA-based confirmation had been performed (6, 7 ).

In support of this possibility, the H2d-H2a repeat, when taken out of its normal context, is able to promote formation of dimers, as shown by using a truncated nuclear hormone receptor lacking its own dimerization domain [ 17]).