Sentence examples for substituted to express from inspiring English sources

A technique known as flat CORDIC, in which the conventional X and Y recurrences are successively substituted to express the final vectors in terms of the initial vectors, can be used to eliminate the iterative process.

Keeping these quantities fixed implies (8a) and (8b) which can be substituted into (5) to express how the time to evolve growth T depends on the number of loci n (Fig. 1B) for invaders with the same rmax, and V0.

Likewise, EpICD alone sufficed to substitute for the deficiency to express EpCAM in vitro and supported proliferative signals in the absence of the remaining domains of EpCAM [ 8].

Substituting (21) and (29) into (26) allows us to express the close-form expression of outage probability for BTB SCM as (7).

It consists of the bovine parainfluenza virus type 3 (PIV3) genome with substituted human PIV3 F and HN glycoproteins engineered to express RSV F protein.

For example, some patients might substitute one word for another when they attempt to express themselves.

Using geology as a substitute for anatomy, White employed closeups and cropping to express what he couldn't show directly.

Equation 35 can be expanded to express the solution in terms of χ by substituting ψ with η3(χ+η3).

However, some patients will substitute a true word, but one which has a different meaning then they wish to express.

Substituting to, we obtain.

To identify genes that can functionally substitute for oncogenic RAS, we systematically expressed 15,294 open reading frames in a human KRAS-dependent colon cancer cell line engineered to express an inducible KRAS-specific shRNA.