We study a nonlocal Allen Cahn type problem for vector fields of unit length, arising from a model for domain walls (called Néel walls) in ferromagnetism.
The measurement shows that the laser has two longitudinal modes very often, but with the change of laser length arising from the thermal expansion; when one of modes is closed to the central frequency in the gain profile, the third mode may also appear.
A controversy over the effects of running blade length arose at the 2012 Paralympic Games, as Brazilian runner Alan Oliveira and USA runner Blake Leeper changed to longer running blades within a few months before the 2012 Paralympic Games, leading to marked improvement in their running times.
The spatiotemporal patterns on the heart surface during our simulated VF qualitatively resemble those recorded from the surface of isolated rabbit hearts as shown in Figure 1, except for a difference in cycle length arising from the unphysiologically short APD in our model.
We have performed additional simulations using the Gupta protocol which show that, if the number of cells simulated is sufficiently small as to match the number of cells per theta cycle reported by Gupta et al., the anticorrelation between ahead and behind length arises naturally due to the sequence selection criteria.
This generalized signal and noise analysis provides analytical prediction of utility of characters evolving at diverse rates of evolution to resolve quartet phylogenies in which unequal branch lengths arise due to unequal rates of evolution, asymmetrical topologies, or both.
Bond valences give chemical insights that are not readily derived from energy-based models; section 8 shows how they can be used to decide if variations in bond lengths arise from the bond topology, from the steric strains resulting from having to fit the atoms and bonds into Euclidian space, or from anisotropic electronic effects.
Combined with effective diffusion coefficients calculated from Stokes Einstein type equations, plume lengths arising from mixing between two solutes can be predicted accurately using numerical modelling techniques.
Another concern for bias may arise if differences exist in the distributions of telomere lengths arising from the process of selecting cases and controls (i.e., selection bias).
Level-1 sequences are 100% identical over their entire lengths, arising from either the same or different patent families; level-2 sequences are 100% identical over their entire length and belong to the same patent family.
