Sentence examples for proof for the fact from inspiring English sources

"[It is] a proof for the fact that dreaming really is an experience that occurs during sleep, because many researchers up until now have suggested that it is just something you invent when you wake up," said Siclari.

As a first application, we get a new proof for the fact (due to Hirai et al., 2001) that the map f C∞c(Rn)×C∞c(Rn)→C∞c(Rn), ↦γ⁎η taking a pair of test functions to their convolution is continuous.

Your tank should also be made escape proof for the fact that house geckos can fit through very small openings.

Cost-based abduction attempts to find the best explanation for a set of facts by finding a minimal cost proof for the facts.

For proof of the fact that IP can run on absolutely ANY communications infrastructure, consider RFC 1149: "A Standard for the Transmission of IP Datagrams on Avian Carriers" -- in other words, instructions for running an Internet using carrier pigeons.

We refer the reader to [51] for the proof of the equivalence of (i), (ii), and (iv) and to [60] for the proof of the fact that (i) is equivalent to (iii).

For the proof of the fact that (kappa_{p}

For the proof of the fact that (operatorname{CB}(Lambda,X)) is an ε-chainable metric space when ((X,d)) is uniform ε-chainable, we need the following result.

In the case whereT∈A∩C00, this leads to a simple proof of the fact that for everyf∈L1(T) there existsx, y∈H such thatf=xy.

Kudos to BGR for digging up proof of the fact, but it should come as no surprise that Apple's carrier partners are testing a 4G LTE model of the iPhone.

The main goal of the paper is to give a new proof of the fact that for each excess demand function there exists an equilibrium point.