Sentence examples for whose regularity from inspiring English sources

Existing results on flows on an abstract Wiener space generated by a vector field are generalized to the case where the vector field is a sum of a not necessarily bounded skew-adjoint operator and a non-linear part whose regularity is measured by the new Sobolev norms.

This combined with (5.25) shows that (x t) sim X t)), (t toinfty), which shows that (x t)) is a regularly varying function whose regularity index ρ is 0, (frac{sigma+alpha+1-eta}{alpha-beta}), or (1-frac {eta }{alpha}) according to whether (sigma= eta-alpha-1), (eta-alpha-1 < sigma

We have also explored the information in a single image due to texture, whose regularities provide insight into the shapes of surfaces.

Besides multilayered structures, scientists have observed other light-manipulating structures in insects, including "diffraction gratings," which are like super-tiny washboards that tease apart white light to create rainbowlike effects, and biological "photonic crystals," whose regularities can transform light with scintillating, gemlike and opalescent effects.

The latter is reflected in the spatial statistics of the perceived scene, whose regularities are captured by the statistical laws of natural images [ 11].

Thus the problem of finding G nt+r,n) for large t is equivalent to finding a regular graph, whose degree of regularity and number of vertices depend only on n and r, with a certain "trace-minimal" property.

A Particular focus is on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control.

Participants decided the grammatical gender of visually presented Italian words whose gender-to-ending regularity varied.

What we have here, it seems to me, is a striking empirical regularity: kids whose kindergarten class does particularly well tend to do well in adulthood.

Next, we state the regularity results whose proofs are the same as the ones in [23].

But then he's a legendarily ill-tempered fellow whose wrath erupts with metronomic regularity.