Sentence examples for gives a proof of from inspiring English sources

Section 4 is concerned with the equivalence of PSF and FERZ, and in Sect. 5 gives a proof of ASF independent of the other formulae of this paper.

This paper is the result of the author's attempt to answer these questions and gives a proof of existence of natural frequencies for systems with artificial restraints (springs) having positive or negative stiffness coefficients, and their convergence towards constrained systems.

The internuclear distances of OH, HCl and ClO (labeled as R_OH, R_HCl, and R_ClO, respectively) as a function of propagation time are shown in Figure 9(a), which gives a proof of the direct reaction.

This further gives a proof of concept of our hypothesis that delay in repression is the primary factor for inducing increased inter-cellular heterogeneity in gene expression in a population.

It should be mentioned that the DSC traces are not changed after 50 cycles of fusing and crystallization, which gives a proof of the thermal stability of the microcapsules.

This section aims to give a proof-of-principle of our NetworkReducer algorithm using a realistic application example.

The analysis of gene and miRNAs expression profiles gave a proof-of-concept of the scalable character of biological regulation circuits.

"That was interesting and promising and gave a proof of concept that these vaccines can be developed.

Now we will give a proof of our main result.

We will give a proof of the following result.

We only give a proof of Theorem 9.