Sentence examples for there exist minima from inspiring English sources
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.
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.
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, the real-valued continuous mapping x ∈ S ↦ ℐ ( x ) = ∫ t 0 t 0 + L x ( s ) d s. attains its maximum and its minimum, that is, there exist x *, x * ∈ S such that ℐ ( x * ) = max { ℐ ( x ) : x ∈ S }, ℐ ( x * ) = min { ℐ ( x ) : x ∈ S }. (6).
Then there exist a minimum random -periodic point and a maximum random -periodic point in such that a.e., for all.
