Sentence examples for a arising from inspiring English sources

In general for matrices A arising in optimal transportation and geometric optics the existence of admissible functions is proved in [11].

Here, however, there is an additional contribution to the drift term A arising from the fact that the independent noise terms appearing in the full system of Langevin equations (18) are Ito rather than Stratonovich, reflecting the fact that they arise from finite size effects.

The nitrobenzene proton signals of 13 a (arising from positions 6 and 7 in Figure 3 a, δ=8.16 and 7.53 ppm) become shifted to slightly lower field (δ=8.21 and 7.57 ppm) in 13 b.

This equation has the solution (11) c (t ) = c (0 ) e − δt + A δ 1 − e − δt, which allows forward calculation in time of c(t) by inserting its value just prior to any change in the random variables as c(0), with the new value for A arising from the change.

Within a year, a problem arose.

Dig deeper and a question arises: why an epidemic now?

A dispute arose, usually near a bar.

A FORM arises from amidst a heap of leaves.

On Wednesday, an idea arises, and a conversation begins.

A gasp arose from the carabinieri; a Swiss Guard vomited.

A question arises, however.