PROVING SOME GEOMETRIC IDENTITIES BY USING THE DETERMINANTS
Journal Title: Journal of Science And Arts - Year 2012, Vol 21, Issue 4
Abstract
In this note we will give proofs about some identities by using determinants. The method of determinants in Geometry is a powerful technique
Authors and Affiliations
DAM VAN NHI
LIE-ALGEBRA AND MODIFIED JACOBI POLYNOMIALS
In the present paper, L. Weisner’s group-theoretic method has been utilized in obtaining generating functions of , a modification of the Jacobi polynomials - In section 1, with the suitable simultaneous interpretations...
ON THE INVERSE PROBLEM FOR AN AVERAGED OPERATOR IN HILBERT SPACES
The aim of this paper is to present some properties of the averaged operators defined in Hilbert spaces. We are interested in the study of the existence of an inverse for the averaged operator associated to a strongly mo...
LINEAR PERTURBATIONS FOR THE DIRICHLET PROBLEM
In this paper we study a problem of type −u + u + Au = f in D u = 0 on @D which generalizes a result from [3], p.175. The results are given in theorem 1.1 and for case with bounded domain of class C...
A NEW INEQUALITY AND IDENTITY
In this paper we introduce the new inequality and identity called (M, N), that Hayashi's inequality is only a special case. Then we will present some interesting applications.
METHODS FOR THE REALIZATION OF RADIOACTIVE STANDARDS AND FOR THE ENVIRONMENTAL RADIOACTIVITY MEASUREMENT
The radionuclide metrology assures: the realization, the conservation and the transmission of the “activity” standards, in various fields of measurement, environmental radioactivity characterization being included. The R...