Sentence examples for essential result in from inspiring English sources

Actually, this is the essential result in this paper and has the most difficult proof.

In order to study the convergence theorems for the solutions set of multiple sets split problems, we must give an essential result in this paper.

In the paper [14], a Cauchy integral formula for Hermitean monogenic functions was established, obviously an essential result in the function theory.

In [16] a Cauchy integral formula for Hermitean monogenic functions was established, obviously an essential result in the development of the function theory.

The essential result in the preceding two sections states that insolvency procedures coordinated by a better-informed insolvency administrator will never simultaneously achieve optimal creditor satisfaction and no filtering failure if the insolvency administrator's compensation is designed as typical in many insolvency codes.

The KKM theorem provides the foundations for many of the modern essential results in diverse areas of mathematical sciences.

For this type of inbound traffic which is mostly bulk, TCP as transport layer protocol is essential, resulting in end-to-end TCP session through a default gateway.

The p-adic q-integral provides fruitful and essential results in studying special polynomials such as Bernoulli, Euler and Catalan polynomials.

From 1961 Ky Fan showed that the KKM theorem provides the foundation for many of the modern essential results in diverse areas of mathematical sciences.

Elek introduced in [32] the notion of amenability for finitely generated unital algebras over (mathbb {K}), and proved some essential results in the case where the algebra has no zero-divisors.

To cover the set of potential toxin derivatives as complete as possible, measurements in both polarities were essential resulting in complementary information, revealing novel metabolites.