Sentence examples for there exist minimum from inspiring English sources

It was found that there exist minimum values in the 〈Ctr〉 ∼ f1 curves in MMA/BA CPDTB and St/BA BDTiB at f1 = 0.75 and 0.25, respectively.

A comparison of the UV visible and 1H NMR spectra of the dyad with those of the corresponding individual model compounds (i.e., BODIPY-CO2H and BPFC-OH) reveal that there exist minimum π π interactions between BODIPY and corrole π-planes.

It has also been shown that there exist minima for the total required area of the two-stage membrane-based process, and as the CO2 load increases in the feed, the position of these minima shift to higher values of methane loss.

By Theorem 3.1, there exist a minimum random -periodic point and a maximum random -periodic point in.

It was found that after the first regioregular insertion there exists two minimum energy conformations for the chain: α-agostic and β-agostic.

In LTE and LTE-A, there exists a minimum number of physical resources to allocate the TB to be transmitted [19].

Based on the above analysis, there exists a minimum beam height which can make the irregularity caused by TDL within the limit.

Although likely to be a conservative estimate, Krawczak et al. has predicted that there exists at minimum an average of > 1.3 SNVs discriminating MZ twins in each tissue type [46].

The idea is simple: since the test statistic is discrete, it can only take a finite set of values and there exists a minimum attainable P-value strictly greater than 0. As Tarone showed, one can exploit that to obtain an improved Bonferroni correction factor which exhibits a great increase in statistical power in many cases of interest.

Then there exist a minimum random -periodic point and a maximum random -periodic point in such that a.e., for all.

The results show that there exist a minimum value of the entropy generation rate and the corresponding optimal construct of the reactor.