Brouwer's proof of the bar theorem is remarkable in that it uses well-ordering properties of hypothetical proofs.
The ability of ABM to perform "patient‐specific" in silico studies has been described in a hypothetical proof‐of‐principle study, which simulated clinical trials of anti‐cytokine therapy.
As proof of concept, the hypothetical Cu3 BTC- NO2 3)2 Lewis catalyst – in which each phenyl hydrogen of the BTC ligand is replaced by a nitro group – is predicted to be very selective.
Moreover, the implementation of both drug- and AE-related costs was fully hypothetical, since we only aimed to demonstrate a proof of concept.
The paper outlines the background for 3DRM and presents a proof-of-concept risk assessment for a hypothetical hydrogen filling station.
Three examples can be given that show that by the mid-1920s, Brouwer in practice worked with the hypothetical judgement and with the clause for implication in the Proof Interpretation (which was published later): an equivalence in propositional logic, the proof of the bar theorem, and his reading of ordering axioms.
But Clinton's non-committal answer to a hypothetical question at a single campaign stop hardly amounts to proof that she "wants to take your guns away," as Trump said.
(Statement and Inference, Oxford Oxford University Presss, 1926, 49) The hypothetical process therefore combines in itself both the method of discovery and the proof, and is the proper scientific exposition.
Proof of concept for the new module is demonstrated for a hypothetical water management scenario, utilizing moisture dependent irrigation, in a real world basin, the Little Washita.
When he particularly approved of a proof, he would say it came from "The Book --an elusive hypothetical tome that held all of the Book --anfs that could ever Book --and.
