Sentence examples for applications of the second from inspiring English sources

To see that is nonexpansive, we only apply the triangle inequality and two applications of the second inequality in Lemma 1.1.

Just like discussions for the applications of the loop algebra (tilde{A}_{1}), we could also investigate the integrable couplings of the integrable discrete hierarchy (61) and the associated ((2+1))-dimensional integrable discrete systems for further applications of the second loop algebra (bar{A}_{1}), here we do not again go into details in this paper.

Therapeutic applications of the first generation of nanotechnologies include the treatment of cancer liver diseases.

As an important area of investigation, the theory and applications of the fourth-order ordinary differential equations are emerging.

This paper describes the design concepts, the making of and some applications of the first Estonian Virtual Reality Environment.

The theory and applications of the fourth-order ordinary differential equation are emerging as an important area of investigation; it is often referred to as the beam equation.

To identify a few and for more on the applications of the fourth-order boundary value problems, we refer the reader to [1 4] and related topics.

In the present paper some applications of the first-order analytical calculation technique, used at the design stage of the new injector, are discussed.

Then by finitely many applications of the first Church Rosser theorem (i.e., by induction on the length of the path connecting N and P), the first Church Rosser theorem implies the second formulation.

This review focuses specifically on the development and current applications of the first-in-class proteasome inhibitor bortezomib in the treatment of MM.

Another application of the second skin is to keep drugs like cortisone creams on the skin, Dr. Anderson said.