Sentence examples for extension criterion from inspiring English sources

This is Sikorski's extension criterion.

Finally, we obtain a refinement to a quasiconformal extension criterion of the main result.

In this section we will refine the univalence condition given in Theorem 3.1 to a quasiconformal extension criterion.

The crack growth rates are determined using the planar extension criterion which correlates better with the test data than the maximum tangential stress extension criteria.

A probabilistic random crack extension criterion is also proposed which allows for statistically varying random damage and surface crack growth development during each run using the same input properties.

The aim of this paper is to obtain sufficient conditions for univalence of meromorphic functions in the U ∗. Also, we refine a quasiconformal extension criterion with the help of Becker's method.

Several crack extension criteria have been proposed in the last decades, but each criterion can be employed only for particular materials, loading configurations, environmental conditions.

The method of constructing quasiconformal extension criteria is based on the following result due to Becker (see [1, 2] and also [19]).

for all z ∈ U and t ≥ 0. Then L ( z, t ) admits a continuous extension to U ¯ for each t ≥ 0, and the function F ( z, z ¯ ) defined by F ( z, z ¯ ) = { L ( z, 0 ), | z | < 1, L ( z | z |, log | z | ), | z | ≥ 1. is a k-quasiconformal extension of L ( z, 0 ) to ℂ. Detailed information about Loewner chains and quasiconformal extension criteria can be found in [3, 20 22] and recently in [23 25].

If there are 'dangling' ends to s <30 residues that did not satisfy the extension criteria, append them to the match.

The FDR cutoff was 0.05 and the fold enrichment was kept at 2. Genes linked to the DMRs were selected using basal plus extension criteria with a default setting (proximal, from 5 kb upstream to 1 kb downstream of the transcription start site; distal, up to 1 Mb from the transcription start site), assuming that the DMRs were either proximal or distal regulatory regions.