Sentence examples for high regularity of from inspiring English sources

The continuity and curvature terms need to be weighted with values just high enough to maintain a high regularity of the mesh.

Moreover, due to the strong-coupling property of the k-ε equations, we need a corresponding high regularity of the unknown functions k and ε.

The justification for the above assumption is the following: The continuity and curvature terms need to be weighted with values just high enough to maintain a high regularity of the mesh.

Stated simply, the high nonlinearity of the k-ε equations leads to the necessity of high regularity of some unknown functions and thus leads to much difficulties for the a priori estimates.

More precisely, Holschneider (1995) has shown that a high regularity of the signal is translated via the CWT from a power-law variation: (9)This result confirms that if the stochastic process s(t) is self-affine or, if it has some long-range dependence properties characterised by the local exponent h(t), then the wavelet coefficients, at a fixed scale, form a stationary process.

Low values of entropy imply predictability and high regularity of a time series data.

Although crystallography can be used to characterize the disorder in an impure or irregular crystal, crystallography generally requires a pure crystal of high regularity to solve the structure of a complicated arrangement of atoms.

For truncated approximation the reconsideration partly arises from the difference between fractional derivative in R L sense and Caputo sense: Caputo fractional derivative requires higher regularity of the unknown than R L version.

In order to obtain higher regularity of global solutions, there are many complicated estimates on higher derivations of solutions to be involved, this is our main difficulty.

In order to obtain a higher regularity of global strong solutions, there are many complicated estimates on higher derivations of the solution involved; this is our difficulty.

Now, we end this section with the following lemma, which plays an important role in the proof of higher regularity of the pullback attractors.