Sentence examples for there exists a multiple from inspiring English sources

By observation of the time traces in Figs. 2 and 3, it can be argued that there exists a multiple time-scales structure within the typical solution trajectories of the modified propofol model (1).

It turns out that there exist a multiple nonlinear dependency between the number of divisions during uptake, the number of divisions during chase, and the BDT.

For μ = μ 1, there exists a unique (up a constant multiple) eigenfunction u 1 ∈ X, and u 1 > 0 in Ω.   3.

For μ = μ 1, there exists a unique (up a constant multiple) eigenfunction u 1 ∈ Y, and u 1 > 0 in Ω.

Besides this, for multiple commands there exists a GUI that replaces the standard command line.

We determine, for all positive integers n, the set of integers q for which there exists a common multiple of C4 and Kn having precisely q edges.

We consider whether there exists a control for multiple BNs.

By the well-known Calderón reproducing formula (see also [28], Theorem 2.14), we know that there exists a sequence of multiples of ((varphi, q, s))-atoms ({b_{j}}_{jinmathbb{Z}_) associated with balls ({x_{j}+B_{r_{j}}}_{jinmathbb{Z}_) such that begin{aligned} f=lim_{krightarrowinfty}sum_{j=1}^{k} b_{j} =:lim_{krightarrowinfty}f_{k} quad text{in } mathcal{S}' text{ and also in } L^{2}.

It is shown that there exists a direct relationship between multiple steady-state concentration profiles and multiple solutions to the global material balances.

Therefore, the above issue is first addressed in Section 4, where we derive a closed-form solution for the PA, being it useful for the subsequent case of multiple users addressed in Section 5.   2) In view of the QoS contraints, there exists a competition among the multiple active users allowed to transmit over the same band.

There exists a synergistic effect from multiple stimulatives to enhance the photocatalytic effect of the prepared TiO2 catalyst.