Sentence examples for maximal possible number from inspiring English sources

Such a matrix is called maximal if it has a maximal possible number of columns with respect to some obvious constraints.

The (local) clustering coefficient4 ci of a node is defined as where ei is the number of neighbors of i which are mutual neighbors, and ki is the degree of node i. Therefore the (local) clustering coefficient of a node i is the ratio between the number of neighbors of i which are mutual neighbors and the maximal possible number of edges between neighbors of i.

Analysis of the accuracy of obtained numerical solutions and of their stabilization to steady states supports the idea of the instability of the steady coalescent pole solutions (with maximal possible number of poles) to the Sivashinsky equation in large domains through huge linear transient amplification of nonmodal perturbations of small but finite amplitudes.

has the maximal possible number of extremum points on ℰ.

Let (Z_{n,m}) denote the maximal possible number of zeros of (h=p_n+overline{q_m}.) Then, for any fixed integer (age 1), we have begin{aligned} limsup _{nrightarrow infty }frac{Z_{n,n-a}}{n^2}=1. end{aligned} More generally, if (m= alpha n + o(n)) with (0le alpha le 1), we have begin{aligned} limsup _{nrightarrow infty }frac{Z_{n,m}}{n^2}ge alpha ^2.

P<0.01) and about 50% of the maximal possible number of injections per session was self-administered each session (27±4 injections/1-hour session) (Fig. 4A).

The maximal possible numbers who could have reached their 4th or 7th cPHA are shown above the charts as "Possible #".

On the basis of the number of patients with Stable return-to-work (Table 4), the maximal possible numbers of predictors were calculated as 3, 5, 5-6 and 6 at 6, 12, 18 and 24 months, respectively.

As before, if we consider a horizontal line that is strictly between the horizontal line that passes through the nodes of rank j and the horizontal line that passes through the nodes of rank (j +1) then these matrices determine the minimal and maximal possible numbers of intersections of this line with branches of subtree i.

Therefore, k was chosen as a trade-off between signature size and stability, i.e. a signature size exhibiting maximal possible stability and being smaller than the total number of variables.

Summation of the "+" signs across all categories, for each ORF product, produced a total, un-weighted score, with a maximal possible total score of 11 (according to the number of categories).