Sentence examples for proof the application from inspiring English sources

These glasses have to be coated with the sol gel solution and tested, in order to proof the application of this new treatment in practice.

On the contrary to previous researches on Shear Thickening Fluid (STF) impregnated fabric composites as a protection method against low to middle velocity impact such as stabbing or bullet-proofing, the application of STF on space shields seems to be quite skeptical due to high-speed range of micro meteoroid and orbital debris (M/OD).

The proof is the application of the well-known Chebyshev inequality, Theorems 2.2 and 3.1.

A crucial part of the proof is the application of an abstract uniqueness theorem, which says that such a uniqueness property follows from the existence of a jointly faithful collection of states on the ambient C⁎-algebra, each of which is the unique extension of a state on the distinguished abelian C⁎-subalgebra.

As expected, both the mathematical proof and the application to the previously published economic model showed that considering the future introduction of lower-cost generic versions of the NPRx within the model's time horizon lowers the NPRx's ICER.

The proof relies on the application of a Moser-Trudinger inequality (see Theorem 2.2) and the Sobolev embedding theorem (see Theorem 2.1).

Proof The proof is based on the application of Theorem 2 to (11) and the ensuing analysis of the obtained conditions.

A focused proof system provides a normal form to cut-free proofs in which the application of invertible and non-invertible inference rules is structured.

Provide the following information on the application: proof of citizenship, proof that you are at least 21 years old, proof of residency in the county in which you are applying, and a valid North Carolina driver's license.

"Version 4 brings the product from a code protection solution to a platform that provides a tamper-proof environment to the application, making sure it is executed without interferences and by legitimate users only"., says Pedro Fortuna, CTO of Jscrambler.

You must submit the application, proof of education (if required) and proof that you passed a state exam to your state's insurance department.