Sentence examples for determining an upper bound from inspiring English sources

The asymptotic results and formulas presented here are useful for determining an upper bound on conversion and a lower bound on the Sherwood number for a given set of flow conditions and physical dimensions of the monolith.

Thus, the time complexity incurred to compute the local clustering coefficient of the vertices in a graph narrows down to the problem of determining an upper bound for the sum of the squares of the degrees of the vertices in a graph.

Let us determine an upper bound for the heights of the algebraic numbers β n.

We must determine an upper bound of Nd and d to estimate the size of e and (c_{underline {k}}), respectively.

However, by omitting the first initial information we determine an upper bound for the lumping error, as measured by precision.

Initially, we determine an upper bound of a real-time user's parameter, denoted as   , without considering the satisfaction of condition (A.1).

We notice that the maximum buffer size is not a nice linear function, but we can determine an upper bound, namely the value we calculated by means of the gradual arrival of the data, increased by the packet size.

Another point can be extracted from Figure 3 is that for the symmetric networks, we might be able to determine an upper bound of the density of the efficient network.

In fact, instead of the intersection of balls in (9), we consider each ball individually and determine an upper bound as e ≤ v max ( x ̂, ℬ I ) ≤ max i = 1, …, N max y ∈ ℬ i ∥ x ̂ − y ∥ 2 = max ∥ x ̂ − a 1 ∥ 2 + d ̂ 1, …, ∥ x ̂ − a N ∥ 2 + d ̂ N. (10).

(s1) Using the results on (2 tintervalnterval systems from Section 2 calculate the interval ((alpha,beta)) for t.   (s2) Determine an upper bound s̅ for the variable s from the positive definiteness condition of a suitable submatrix of (-(A^{T}D+DA)).

To determine an upper bound for the turn-off time of MET3pr, we took advantage of a cln1,2,3 strain with CLN2 expressed from MET3pr.