منابع مشابه
A note on a determinant identity
In this note we show that the determinant identities obtained by Rezaifar and Rezaee (2007)– [1] and Dutta and Pal (2011)–[2] are straightforward consequences of a general result due to Capelli. © 2015 Elsevier Inc. All rights reserved.
متن کاملNote on Hadamard's Determinant Theorem
Introduction. We shall call a square matrix A of order n an Hadamard matrix or for brevity an iî-matrix, if each element of A has the value ± 1 and if the determinant of A has the maximum possible value w. It is known that such a matrix A is an iï-matrix [ l] if, and only if, AA'~nEn where A f is the transpose of A and En is the unit matrix of order n. It is also known that, if an iï-matrix of ...
متن کاملA note on special Kähler manifolds
The base space of an algebraically completely integrable Hamiltonian system acquires a rather special differential-geometric structure which plays an important role in modern physical theories such as Seiberg-Witten theory. This structure was formalised by D. Freed [1] as a Special Kähler manifold. In that paper he conjectured that there are no compact special Kähler manifolds other than flat o...
متن کاملA Note on Determinant of Square Fuzzy Matrix
In this article, we would like to study the determinant theory of fuzzy matrices. The purpose of this article is to present a new way of expanding the determinant of fuzzy matrices and thereafter some properties of determinant are considered. Most of the properties are found to be analogus to the properties of determinant of matrices in crisp cases. Index Terms — reference function, membership ...
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In this paper we suggest a method to calculate the first integrals of a special system of the first order of differential equations. Then we use the method for finding the solutions of some differential equations such as, the differential equation of RLC circuit.
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ژورنال
عنوان ژورنال: Mathematical Notes
سال: 1937
ISSN: 1757-7489,2051-204X
DOI: 10.1017/s1757748900002528