I'm trying to get a calculation of mean curvature using phase field method. An using this expression: k = 2*(1-phipf)*(1+phipf)*tpf.G/tpf.sigma in a Laminar Two-Phase Flow simulation. But I'm not sure my results are ok. Some suggestion about how do yo calculate the mean curvat...
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This means that with one Barlow lens you have effectively doubled the number of eyepieces – and therefore magnifications – that you have at your disposal. Altair Astro's Ultraflat eyepieces are designed to correct field curvature, an aberration that results in stars towards the edges of the...
At this stage, certain assumptions must be made. The shape of the membrane allows neglecting other spatial dimensions than that of the single one in the direction from one chamber of the apparatus to the other. Also, the internal dynamics of the membrane is orders of magnitude faster than tha...
In the third century B.C., Eratosthenes, a Greek mathematician, became the first person to mathematically calculate the diameter of the earth by comparing differences in the angle of the sun's rays at two separate geographic points. He noticed that the difference in the angle of a shadow in...
After generating the surface, the height of these known points can be subtracted from the generated surface to examine how closely the new surface represents the true surface. These differences can be used to calculate a measure of error for the surface, such as the root mean squared (RMS) ...
In order to calculate the gradients [Math Processing Error]∇w(n)J(⋅), we use automatic differentiation methods35, where the gradients flow through an underlying artificial neural network that is time-unfolded36 by ODE solvers37. We show a schematic of the forward and backward passes of ...
An undirected graph is a structure composed of vertices connected by edges. Edges are assigned weights corresponding to the distance between the connected points. Useful algorithms such as Dijkstra’s algorithm to calculate shortest paths [171], Minimum Spanning Tree [172], and graph-based clustering...
To assess if this difference originates from Arp2/3 complex binding or the analysis methods used to calculate the filament twist, we applied our analysis methods to bare, bent filaments20. Reanalysis with our method yielded a modest twist change of ~0.1-0.4°(Fig. 2k, Supplementary Fig. 2b...
An undirected graph is a structure composed of vertices connected by edges. Edges are assigned weights corresponding to the distance between the connected points. Useful algorithms such as Dijkstra’s algorithm to calculate shortest paths [171], Minimum Spanning Tree [172], and graph-based clustering...