Sentence examples for positive provided that from inspiring English sources

We show that the spectrum of −Δ+V is positive, provided that V is greater than a negative multiple of the logarithmic gradient of the solution to the Lane Emden equation −Δu= uq−1 (for some 1≤q<2).

If an amount of heat Q flows from R1 to R2, then the net entropy change for the two reservoirs is       (3) ΔS is positive, provided that T1 > T2.

Moreover, we denote by the sum and suppose is positive, provided that is small enough.

If an amount of heat Q flows from R1 to R2, then the net entropy change for the two reservoirs is which is positive provided that T1 > T2.

Thus, is positive provided that, which shows (1.19).

Here, only the probe with the strongest signal value was regarded as positive, provided that it exceeded the 50% breakpoint.

In reference positive group 2, we additionally included IID cases who were electron microscopy negative and subsequently RT-PCR positive, providing that they had no other pathogens identified in their stool and that they had collected a specimen early in their illness (less than three days since symptom onset).

FDR-controlling procedures tolerate a few false positives provided that their number is small compared to the number of all rejected hypotheses.

Paxil was not approved for pediatric use, but by FDA rules doctors can prescribe drugs for problems that the drug was not initially approved for, provided that positive research data points to its efficacy and safety.

But this is compatible with there being strong correlations between every instant in the past and the future, provided that positive and negative correlations average out.

Regardless of GEF, CVP may be useful for predicting fluid responsiveness in patients after coronary and major vascular surgery provided that positive end-expiratory pressure is low.