Sentence examples for point of singularity from inspiring English sources

As a post-processing stage, computation of the local strain energy density over a circular sector surrounding the point of singularity is performed.

The local strain energy density over a circular sector surrounding the point of singularity can be easily calculated as soon as the NSIFs are known.

However, as the point of singularity is approached, the transition to finer continua is necessary, resulting, in some cases, in apparent non-conventional exponent of the stress increase.

While those skills might be necessary to get us to the point of singularity, they're also ripe for obsolescence once we're there.

But it's likely not before 2050 where we reach a point of singularity and the robots and the machine learning is potentially more intelligent than what is today human intelligence.

With such mastery, perceptions eventually shift to a point of singularity and vision.

However, the methods [16] and [17] could not be directly applied to singular elliptic problems, and they required suitable modifications at the points of singularity.

We apply a local mesh refinement strategy at the points of singularity usually found in the payoff of most financial derivatives to improve the accuracy and restore the rate of convergence of a non-uniform high-order five-point stencil finite difference scheme.

The advantage of the proposed approach is two-fold: there is no need of mesh refinement in the close neighbourhood of the points of singularity, so that coarse FE meshes can be adopted; moreover, geometrical modeling the control volume in FE models is no longer necessary.

Whilst the NSIF evaluation needs very fine meshes in the vicinity of the points of singularity, which is a drawback of the approach in the presence of complex geometries, the mean value of the elastic SED on the control volume can be accurately determined by using relatively coarse meshes.

An important practical example is the residue theorem of complex analysis, where "closed curves" are continuous maps from the circle into the complex plane, and where two closed curves produce the same integral result if they are homotopic in the topological space consisting of the plane minus the points of singularity.