Sentence examples for otherwise we find from inspiring English sources

Otherwise, we find that Φ 0 T ( P − ) and Φ 0 T ( P + ) belong to the two different components of E ∖ L. Therefore, it follows that Φ 0 T ( L ) ∩ L ≠ ∅.

(2.6) Otherwise, we find that there exists a set (Hsubset[0,2pi)) with positive linear measure, i.e., (mH>0) such that, for all z satisfying (arg z=thetain H) and for any (varepsilon>0), one has biglvert fbigl(re^{itheta}bigr bigrvert leq M r,f)^{1-varepsilon} quad (rnotin E_{2}).

If they match with each other, we accept the preliminary prediction value; otherwise, we find a better-matching prediction using the image edge directions other than the four local regions considered in Equation 2. The decoder will receive E 00 sub-image and some bit planes of the E 11 sub-image.

Otherwise, we find that Φ 0 T ( P − ) and Φ 0 T ( P + ) belong to the two different components of E ∖ L ′. Since Φ 0 T ( P − ) and Φ 0 T ( P + ) are the end points of the arc Φ 0 T ( L ) ⊆ E, by an elementary connectivity argument, we conclude that Φ 0 T ( L ) ∩ L ′ ≠ ∅.

With most tissues, honey bee or otherwise, we find that protease inhibitor cocktails are sufficient to prevent protein degradation.

Otherwise we found no significant differences in the CAM efficacy.

We replicated Green (2007) using his asymmetrical method, but otherwise we found the WMT and TOMM produce comparable failure rates in samples at-risk for exaggeration with balanced comparison (three TOMM subtests vs. three WMT).

Otherwise, we found no statistically significant associations between incentive and disclosing potentially sensitive information.

Otherwise, we found that RLN2 inhibition decreased p-AKT expression and NF- κB activity.

Otherwise, we found no significant relationship between age and mRNA half-life for any of the genes examined.

Otherwise, we found that the expression of the two major xylanases, xyn1 and xyn2, does not strictly follow xyr1 transcript levels.