Sentence examples for according to regularity from inspiring English sources

Hence, according to regularity of P, there exists α ∈ P such that θ(d yn+1, y n )) → α.

If for all then Hence, according to regularity of there exists such that We claim If then according to there is such that for all with Choose such that and take the natural number such that for all We obtain (3.4).

The solution (U t)) is regular according to the regularity of f and θ.

(17) In this situation, no values of (U t)) are needed in the delay term behind 0, therefore, no discontinuities propagate from 0. Then the solution is regular according to the regularity of f and θ.

In this paper we determine the multifractal nature of almost every function (in the prevalence setting) in a given Sobolev or Besov space according to different regularity exponents.

According to the regularity properties of x and V, g ∈ C 1 ( [ 0, T ], R ).

Signature: the value computed by the Signature extractor represents the breast contour according to its regularity.

An optimal lower bound for α M is conjectured to be 1 / 3, according to the regularity exhibited by the solutions to the so called ∞ -Laplacean equation [4].

We need to make precise the sense of solutions that we will handle here and distinguish two types of solutions, according to the regularity of f.

From these examples, according to the regularity of the canonic RFFT flow graph, the proposed method can be summarized in Algorithm 1 from previous sections (assume we already have the flow graph of a canonic (frac {N}{2} -point REFFT).

Embryonic development was assessed on Day 2 (41–43 h) and on Day 3 (65 67 h) after insemination according to the regularity of blastomeres, the percentage and pattern of anucleate fragments, and all dysmorphic characteristics of the embryos.