Sentence examples for indispensable for this from inspiring English sources

Good data and knowledge are indispensable for this new and very promising approach.

Planned observations or measurements of these components are indispensable for this monitoring.

The semiconductor micro/nano fabrication and volume production technologies are indispensable for this goal.

The 'if' part means that if (rho(partialphi(x^)) <1), then not only does the iterative sequence ({x^{t}}) given by (1) converge locally to (x^), but in fact an entire neighborhood U of (x^) contracts to ({x^) by repeated application of f on U. Continuity of ∂ϕ at (x^) is indispensable for this result already in the finite case, which is demonstrated in an example.

We showed that the TRAF domain of TRAF4 is indispensable for this localization.

Clearly, further research is needed to tease these different explanations apart and the developed intravaginal injection approach will be indispensable for this.

The reduction of dispersion and the reduction of bias are indispensable for the achievement of this high quality.

The structure of the Smac-XIAP complex has been studied by X-ray crystallography [ 13] and high-resolution NMR [ 14]; it appears that the tetrapeptide AVPI is indispensable for the formation of this complex.

The only exceptions to this case are the B. aphidicola from both Lachninae subfamily representatives, C. tujafilina and C. cedri, which miss all the genes involved in this pathway, rendering Buchnera unable to provide riboflavin to the aphid host, and turning Serratia indispensable for the biosynthesis of this vitamin.

This is indispensable for the well-known function of APETALA1 in specifying floral meristems and is coupled with a conformational change in chromosome looping at the TFL1 locus.

This is indispensable for the rapid disappearance of the holes and the excellent results obtained.