Sentence examples for a elementary method from inspiring English sources

In this note, we shall show that the convexity of the function p t) may be replaced by the condition that p ( t ) t is increasing, sharpen inequality (1), and obtain the following a general result using a monotone form of l'Hospital's rule, a elementary method, and Mitrinović-Pečarić inequality, respectively.

In [9] Costa proved the following L 2 -case version for a class of Caffarelli-Kohn-Nirenberg inequalities with a sharp constant by an elementary method.

As one might expect, the trade-off for such an elementary method is a weaker theorem than Hironaka's work [H.

In this article, we describe an elementary method that combines a direct measurement of the velocity of single worms and the ability to sort multiple worms according to their locomotory skills.

The primary aim of this paper is to present an elementary method of describing certain characterizations of spectra and tilings.

Constraint propagation is an elementary method for reducing the search space of combinatorial search and optimization problems which has become more and more important in the last decades.

This paper is organized as follows: In Section 2, a matrix trace inequality on 2 × 2 Hermitian and skew-Hermitian matrices is provided, and its simple proof is given by using an elementary method.

In this paper, we study the properties of Chebyshev polynomials of the first and second kind and those of Fibonacci polynomials and use an elementary method to give Chebyshev polynomials of the first and second kind in terms of Fibonacci polynomials and vice versa.

Authorities found the cocaine when Niles was selected for inspection from a customs line, surprising investigators with a rather elementary method of smuggling.

In the article, an alternative elementary method for steering a controllable fractional linear control system with open-loop control is presented.

Using a new elementary method, we prove the existence of minimizers for various critical problems in BV and also in W1,p, 1