Sentence examples for boundaries as a function from inspiring English sources

As an example we choose the energy of grain boundaries as a function of their geometric degrees of freedom.

We derive an expression for the driving force and assume a kinetic relation for the mobility of these phase boundaries as a function of this driving force.

The model is used to exhibit the evolution of the energy of triple junctions built solely from symmetric tilt boundaries as a function of their degrees of freedom.

The evolution of the flutter boundaries as a function of the characteristics of the foundation is described for a typical vehicle.

We derive a single pair of analytic equations that allow us to calculate phase boundaries as a function of population density and show that the model reproduces many of the qualitative features of recent experiments on Belousov Zhabotinsky catalytic particles as well as synthetically engineered bacteria.

Measurements of the stagnant boundary as a function of time are compared to the results available in the literature.

The model predicts a sharp transition of grain boundary mobility as a function of temperature, which is related to the sharp transition of solute concentration of grain boundary as a function of temperature.

Since si, j= ϕ i /P1,j, we can also express channel thresholds belonging to the same boundary as a function of si, jgiven as si, j= (ϕ i /ϕ1) si, j.

One of the most simple ways to generate the BS of a region is to plot the distance from the center of gravity of the region to the boundary as a function of the angle,.

Since the only charge in this system is the ion that moves along the trajectories and it lies outside the dielectric boundary, the total charge enclosed by the boundary is 0. Therefore, the total charge induced on the boundary must be very close to 0. Figure 4b shows the total induced charge on the dielectric boundary as a function of the position of the ion along different trajectories.

We validated this basic expectation of divergence with gene flow and then used the resultant heterogeneity in genomic divergence to characterize the shape and depth of the species boundary as a function of divergent selection, phylogenetic distance, and hybridization.