Sentence examples for complex to prove the from inspiring English sources

It is worth pointing out that comparing with (N=3), when (N=2), it is more complex to prove the boundedness of the Palais-Smale sequences, which will be seen in Lemma 3.8.

In native tissues, the existence of GABAB oligomers is more complex to prove, but some evidence supports the proposal.

The offence, which is complex to prove, requires 12 people or more to be engaged in a common purpose.

However, its application is still necessary in complex cases to prove the method's robustness and efficiency.

We will use the homeomorphism mapping theorem on the complex domain to prove the theorem, that is, to show the map (mathcal{H} z)) is a homeomorphism of (mathbb{C}^{n}) onto itself.

The difference in activity of Ru SCN 3−6 and mixed aquo thiocyanate complexes allowed to prove the nonequivalence of the thiocyanate groups in Ru SCN 3−6 (Jahn Teller effect).

Over time, they managed to explain most of the underlying mechanisms of tachycardias, using many catheters, and performing complex pacing manoeuvres to prove the origin or characteristics of an arrhythmia.

The paper [87] uses Carleman estimates with weights which are harmonic functions with non-degenerate critical points to construct appropriate complex geometrical optics solutions to prove the result.

With the recent evidence that EM physicians can perform and interpret complex FOCUS measurements, we sought to prove the feasibility of performing these measurements within the ED.

Unlike the previous one which could have been presented entirely in dimension one, this one makes direct use of arbitrarily many complex variables to prove a one-dimensional result the tensor power trick is crucial in this approach.

However, given the fragility of the SCAR complex, it may prove the only available option.