Sentence examples for at this proof from inspiring English sources

Even at this proof of concept stage, the thermal stability, enzymatic resistance, and permeability of the neoglycopolymer hydrogels are comparable or superior to those of these fully optimized control materials, which have successfully been tested clinically.

Henry Cavill is the most photogenic celebrity; just look at this proof.

Maybe you can take a look at this proof, give me a second opinion.

Participants were able to access all applications on the mobile phone devices (e.g. games, camera), but at this proof-of-concept stage of the study the devices had no wireless connectivity.

At this proof-of-concept stage, the respiratory rate was set between 5 and 6 bpm for the detection of P a O 2 oscillations, in agreement with previous studies.

Let us first review how this is done for autonomous basins, before we look at how this proof can be adapted to the non-autonomous setting.

Before I had a chance to reply to this question, one of my students named Radit responded, "But look at all this proof!" It was one of the prouder moments of my year.

Hence, we conclude that is the unique solution satisfying the KKT conditions given at the beginning of this proof.

Let us fix q ≥ 2 (the case 1 < q < 2 will be tackled at the end of this proof using interpolation).

We will see, at the end of this proof, that for a proper choice of ϵ, when condition (9) holds, we have m ≥ 2 C N β 2 s log ( 2 N 2 / ε ) log 4 ( N ).

Now let Open image in new window and T 0 be such that (V^{mathbf {S}}_{boldsymbol {xi }}(0)le 0) and (V^{mathbf {S}}_{boldsymbol {xi }}(T_{0})>0), which exists according to the assumption made at the beginning of this proof.