Sentence examples for preliminary material that from inspiring English sources

In this section, we state some preliminary material that will be helpful in achieving our result.

In the next two subsections, we will give some other preliminary material that will be needed for the construction of the results in this paper by considering the presentation P in (1).

We begin with some preliminary material that will be used throughout in Appendix 2. Due to the structure of the bivariate linear circular copula, the analysis of the conjectured inequalities requires a case by case analysis of whether or not the coordinates (x, t), respectively (y, t), belong to one of the following disjoint regions of the centred square C2.

Throughout the design calculations we used preliminary nuclear-data libraries for that material that were previously generated and partially validated.

"In the light of the fresh allegations that have been made, some preliminary inquiries have been undertaken and I have now ordered an urgent examination of the material that was supplied to the CPS by the police three years ago.

As an additional preliminary material for this paper, we should recall that a graph-spectrum-based invariant, namely, the graph energy,is defined by (1.3).

At that time, then-committee chair Jay Rockefeller, D-W.Va., sent staffers to begin the painstaking process of reviewing the limited material that the CIA was willing to make available; their preliminary report wasn't issued until early 2009.

Section 2 provides necessary preliminary material on modular function spaces.

Commissioners also said that Mr. Angelides and Mr. Thomas recently clashed over whether to release preliminary staff reports or some of the 500,000 pages of materials that had been gathered so far.

Preliminary experiments have shown that marine sediment bacteria produce in the growth media materials that inhibit colonization of surfaces by diatoms.

Hours later, the U.S. Ninth Circuit Court of Appeals granted the National Abortion Federation a preliminary injunction prohibiting Daleiden and his colleagues from releasing any more recordings and materials that were illegally obtained. .