Sentence examples for complementary proof from inspiring English sources

In this paper, we shall give a complementary proof to correct the errors.

To do it, Li and Wang in [16] gave a complementary proof.

In what follows, we shall give a complementary proof for the main result in [1] by giving a proof of (2.4).

In this paper, we give a complementary proof on the paper 'Existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh equations'.

We believe that our in vitro results provide an important complementary proof to our in vivo findings and should not be removed from the manuscript.

It is also ironic that in an era when mathematics itself is becoming more experimental, with experimentation -- by computer -- now considered fully complementary with rigorous proof, that theoretical physics is becoming more focused on pure mathematical theory and less on experimental evidence.

Using assumptions based on XPS, AFM and SEM complementary characterizations, we give proof of oxide free flattening surfaces and chemical homogeneity in depth.

Numerical tests simulating the experimental process are carried out using the extended finite element method (XFEM) to explore complementary explanations and provide proofs to the experiments.

The absence of proof should prompt complementary studies wherever possible.

This approach of co-delivery of two complementary systems serves as a proof-of-concept for real-time deep tissue intravital orthotopic monitoring and may have the potential use in clinical utility as a theranostic nanomedicine.

Overall, our results offer a proof-of-principle validation of a complementary personal shielding strategy in emergency situations in case of a SPE event.