Sentence examples for bound from below from inspiring English sources

We only need to prove that for sufficiently large k, (alpha_{k}) has a positive bound from below.

If (A2), (A3), and the conditions in Assumption  3.1 hold, then the sequence ({alpha_{k}}) generated by the line search (12) has a positive bound from below.

If (A4) and the conditions in Assumption  3.1 hold, then the sequence ({alpha_{k}}) generated by the line search (9) has a positive bound from below.

Observe that these coefficients may not necessarily be bounded from below by a positive bound which is independent of and.

The best result is due to Lichnerowicz [18] who gives a computable sharp lower bound for manifolds whose Ricci curvature is bounded from below by a positive constant.

Consequently, if the set of all possible replication costs for a given contract is bounded from below then either (a) the lower bound for replication costs is not a replication cost and none of replication costs is a fair price or (b) the lower bound is a replication cost and it is a candidate for a maximal fair price for the contract.

We have further assumed that the measurement errors are bounded from below and assumed a reasonable lower bound on measurement error is known a priori, and then have enlarged the measurements with the absolute value of the lower bound of the measurements to derive a new set of distance estimates with positive errors.

We are interested in finding such approximate pressure fields and in proving that they bound the true pressure field from below without knowing the true pressure field.

The Li Yau bound for the heat equation on manifolds with fixed metric seems to be the first one allowing Ricci curvature not bounded from below.

Similarly, the statistics of three and four concurrent knockout experiments probably bound the expected true experimental frequencies from below, and probably not tightly so.

Comparisons with the specific endothelial cells used in this study also showed that almost twice as much CXCL12 binds to the endothelium when treated from below or basally compared to apically (Figure 2A) (p<0.05).