Sentence examples for demonstrating a proof from inspiring English sources

In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out from building a bridge to winning a game of anagrams.

This case series was large enough to demonstrate that GDC functions can be of sufficiently high fidelity of fit to imply the use of GDC functions as templates for pharmacokinetic simulation studies, and in that capacity one can consider the results as demonstrating a proof of principle for simulation studies.

Although novel treatment strategies based on the gene therapy approach for epilepsy has been encouraging, there is still a gap in demonstrating a proof-of-concept in a clinically relevant animal model and study design.

As the presented setup is in a preclinical stage and not optimised for clinical application, we focused on demonstrating a proof-of-principle application of x-ray dark-field radiography for foreign-body detection.

Using just three rotating dipoles in rats, we demonstrated a proof of principle for the focusing effect of ISP by confining the ISP effect to largely one hemisphere.

Sebastian Muñiz, a researcher for Core Security Technologies, demonstrated a proof of concept rootkit designed to compromise the network vendor's IOS system, used on its switches and routers.

The results demonstrate a proof of concept that neural networks can estimate the terrain parameters which may have applications for automated online traction control.

To demonstrate a proof of concept on this application, we used CjCas9 in concert with SpdCas9 to selectively edit two identical targets in the human haemoglobin subunit beta (HBB) and subunit delta (HBD) loci (Fig. 8a).

I will discuss this conjecture in the context of families of algebraic varieties, and among other things, demonstrate a proof of the p-curvature conjecture for rank 2 vector bundles on generic curves.

In this work, we demonstrate a proof of concept, i.e., both cationic and anionic co- de intercalation into a typico- de intercalationhintois firstly investigatypicala P3-Na0.5Ni0.25Mn0.75O2.

This work successfully demonstrates a proof of concept of quasi-solid-state Na-ion hybrid capacitors as a high performance energy storage device based on two graphene electrodes, which narrows the performance gap between conventional electrochemical capacitors and batteries.