Sentence examples for proven earlier from inspiring English sources

The existence of such symmetry is shown by employing the theorem proven earlier by the author.

The correctness of the DRM is tested here experimentally by comparison of kLa measured by this method with those obtained by the dynamic pressure method and the steady-state sulphite feeding method using pure oxygen, the correctness of which was proven earlier.

The weaker result where (F_3) isn't included and (varphi in C^{1,alpha }) was proven earlier by Hoffmann-Ostenhof et al. [250].

The energy input was found to be positively correlated with the generation of reactive chemical species as proven earlier by damage severity of plasmid DNA treated with plasma between 10 and 120 W (Li et al. 2008).

(c) The facts that every point on the curve (mathcal{J}_{1}) is a nonhyperbolic period-two solution of (36), except (( overline {x}_,overline{x} _ ) ), and that the points (( Phi,Psi ) = { ( 0, frac{1-I}{G} ), ( frac{1-I}{G},0 ) } ) are the endpoints of (mathcal{J}_{1}) in the first quadrant were proven earlier.

As proven earlier for benzo[ a]pyrene samples, the toluene extract contains unreacted PAH [ 27, 28].

The cast are exemplary, proven early in to be impressive impressionists.

Maximum CRP levels >3 mg/dL had positive predictive values >20% for proven or probable early-onset infections and for proven or probable and proven late-onset infections, but only those >6 mg/dL had such a high positive predictive value for proven early-onset sepsis.Serial CRP levels are useful in the diagnostic evaluation of neonates with suspected infection.

Define a 30-90 day, staged approach where benefits are delivered or proven early using technology that is already "on the shelf". On average, technology (software and hardware) utilization rates are in the 20-30% range.

Indeed, the fund's partners are proven early trend spotters.

Victoria's popularity among Mexican beers was proven early on.