Sentence examples for functional proof from inspiring English sources

We now provide an alternative functional proof.

In this paper, a new functional proof by Riesz representation theorem is provided.

A new functional proof based on the Riesz representation theorem [4, 5] is also given.

However, so far no real functional proof has been available to demonstrate that this technique also allows further physiologic features such as tooth eruption to occur.

Used as a functional proof of pluripotency of ESC, teratoma characterization has been restricted to identification of derivatives from all three germ layers.

The functional proof of BCL2L1's involvement in culture adaptation was greatly facilitated by a relatively small size of the minimal amplicon on chromosome 20, narrowing down the potential pool of candidate genes.

Given our limited time, our goal wasn't to craft a polished finished product, but was instead to create a functional, proof-of-concept model that replaced the act of walking around the screens with an equivalent mouse or trackpad action.

Functional proof-of-concept studies have shown that human endometrium can be reconstructed in immunodeficient mice upon injection with human endometrial SP cells (Cervelló et al., 2010).

The administration of targeted anticancer therapies can be optimised by the identification of predictive biomarkers that segregate responders from non-responders, and the evaluation of pharmacodynamic biomarkers that provide functional proof-of-mechanism (Gutierrez et al, 2009).

In this paper, we give a purely functional analytic proof of this fact.

Then (P) has at least one nontrivial solution which is a global minimizer of the energy functional E. Proof.