Sentence examples for null condition from inspiring English sources
The Einstein equations in wave coordinates are an example of a system which does not obey the "null condition".
Moreover, we show that global existence holds true also when m1=2m2 and a convenient null condition is satisfied by the nonlinearities.
Global and almost global existence for systems without the null condition are also discussed for certain small time-dependent perturbations of the flat metric in Appendix A.
In this talk I will explain how to modify this method so that it can be applied to nonlinear systems which only obey the "weak null condition" - a large class of systems that includes the Einstein equations.
This can lead the way to improving data encoding methods, use of standardized domains, use of standardized representations of the NULL condition, and even improving the storage requirements for some data.
In this paper, under the null condition and the mass resonance relation, we prove large data local well-posedness if the space dimension d≥3 and s≥sc, d= 2 and s>sc or d="1 and s≥0, where sc is the scaling critical regularity.
[Note that, in all graphs shown in the figures, fold change compared with control values (set at 1) are shown.] There was no significant difference between the two null conditions.
On the other hand, the G2-arrest phenotype in cancer cells is underpinned by the upregulation of RPRM and the lack of dephosphorylation of phospho-cdc2 in both p53-wild type and null conditions.
The genomic deficiency Df 2L BSC187 crossed to dGALT ΔAP2 was used as a second heterozygous-null condition.
Transcription of Nanos2 and Nanos3 was strongly compromised in the presence of this transgene, which resulted in the mimicking of the Nanos2/ Nanos3 double-null condition in the male gonad.
In the current study, we found that expression of a NANOS2 variant harboring mutations in the zinc finger motifs leads to suppression of NANOS3 expression in Nanos2-null male gonocytes, resulting in a double-null condition for NANOS2 and NANOS3.
