Sentence examples for linear spreading from inspiring English sources

For sufficiently localized initial conditions, the asymptotic velocity of the resulting pulled front is given by the linear spreading velocity, which is determined by linearizing about the unstable state within the leading edge of the front.

Pulled fronts propagate into an unstable state such that the asymptotic velocity is given by the linear spreading speed υ*, which is determined by linearizing about the unstable state within the leading edge of the front.

In particular, as the nonlocal interactions appear nonlinearly in Equation 2.2, they do not contribute to the linear spreading velocity in the leading edge of the front.

We also compute the limit density function for the Grover walk on Zd with flip flop shift, which implies the coexistence of linear spreading and localization.

The frequency of methylation associated SNPs in Alu Y/S elements exhibited a gradient pattern suggestive of linear spreading, being higher in proximity to methylation associated SNP clusters and lower closer to CpG islands.

A conceptual framework for studying such solutions is the linear spreading velocity υ*, which is the asymptotic rate with which an initial localized perturbation spreads into an unstable state based on the linear equations obtained by linearizing the full nonlinear equations about the unstable state.

The linear spread plasticity model assumes that the curvature in the plasticized zone is distributed linearly at the ends of the element while the uniform curvature model considers a constant distribution of plasticity.

CSD propagation velocity was 2.1 (1.8, 2.9) mm/min assuming an ideal linear spread along the recording strip.

The propagation velocity of the spreading depolarizations was 2.5 (1.9 3.6) mm/min assuming an ideal linear spread along the electrode strip.

While it is likely that different modalities have different effects on AON activity and learning, we specifically selected these 4 conditions in order to demonstrate the greatest linear spread between different kinds of training experience.

Slow potential changes of these 275 spreading depolarizations showed a peak-to-peak amplitude of 1.2 (0.8, 1.8) mV (median, quartiles) in the near-DC-electrocorticography recordings; propagation velocity was 5.7 (2.9, 8.2) mm/min assuming an ideal linear spread along the subdural electrode strip.