Sentence examples for above bounds from inspiring English sources

The latter requires the computation of the upper and lower bounds of via the algorithms provided in Appendix A. The maximum upper-bounded number of iterations required to obtain the above bounds is also justified in Appendix A. Apart from the time complexity, due to mobile devise hardware limitations, space considerations are also important.

Both assertions (as well as the above bounds) seem to be new even in the Euclidean case.

When the genomes are relatively close, our distance estimation is near optimal, hence the above bounds is still effective.

The details of the optimized algorithm for the Markov case achieving the above bounds will be presented in a separate paper.

As shown in Fig. 4A and 4B, only n increases MFMS in the case of CPI and only m does this for CS, just as derived in the above bounds.

The above bounds on R1 demonstrate an interesting fact.

Qian and Ray-Chaudhuri [7] proved that if instead of, then the above bound holds.

In the same paper in which he stated the above conjecture, Snevily mentions that it seems hard to prove the above bound and states the following weaker conjecture.

After three washes as above, bound proteins were detected by the alkaline phosphatase (AP) reaction with para-nitrophenylphosphate (pNPP) (Sigma) in AP buffer (pH 9.6) for 15 min at 37°C.

After washing three times with HSMN buffer as above, bound proteins were boiled and analysed with the different antibodies on a Western blot.

Inside the carpeted office of the executive editor, who uses the pen name Vincent Stevens, photographs of his children are atop a shelf, above bound volumes of High Society going back to 1976.