A SCHEMA FOR OBTAINING THE SUM OF THE ALTERNATING SERIES
Journal Title: Journal of Science And Arts - Year 2012, Vol 19, Issue 2
Abstract
We recall some classical methods for obtaining the sum of the alternating series and we give a special attention to one of these methods, generalizing the schema based on the identity of Catalan.
Authors and Affiliations
ANDREI VERNESCU
RADIATIVE PROPERTIES OF COPPER THIN FILM AS RADIATIVE COOLING MATERIALS
Optical and radiative properties of glazing materials are primary imputes for determination of the radiative cooling performance. In this paper, SiO[sub]2[/sub] shield for radiative cooling was designed and fabricated us...
A NEW GEOMETRIC INEQUALITY AND ITS APPLICATIONS
In this paper, we establish a ternary quadratic geometric inequality involving a triangle and a point by using the polar moment of the inertia inequality of M.S. Klamkin. We also give new result some applications, and pr...
BASICS OF SPIN WAVE THEORY
Developed in the 50's, the spin waves theory is one of the milestones in magnetism and continues to be of fundamental importance. This approach allows a physically appealing treatment of long range magnetically ordered p...
q-FRACTIONAL INITIAL VALUE PROBLEMS AND q-ANALOGUE OF GENERALIZED MITTAG-LEFFLER FUNCTION
In the present paper, the author introduced q-analogues of generalized Mittag-Leffler function referred by Prabhakar [23]. Results derived in this paper are the extensions of the results derived earlier by Abdeljawad...
THE TOPOLOGIC STUDY OF THE GEOMETRIC TRAJECTORIES IN THE MATHEMATICAL BILLIARDS
The mathematical billiard problem is about the reflection of a light ray in different bounded domains. In this paper we will refer to the domain bounded by a circle.