Note on a determinant derived from a triangular array
نویسندگان
چکیده
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 کاملf/sla from learner perspectives: a social activity or a cognitive process
in the past couple of decades sociocultural theory of sla and its implications in efl contexts have attracted attentions of research circles worldwide and aroused some controversies. firth and wagner (1997) have questioned the principles of the cognitive view which gives importance to mental constructs in favor of sociocultural view which highlights social and contextual constructs. but if soci...
15 صفحه اولNote 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 the continuity of triangular norms
It is shown that for an associative function on the unit interval with certain boundary conditions, separate continuity implies joint continuity. This answers a question on triangular norms raised by Alsina, Frank, and Schweizer in 2003. © 2014 Elsevier B.V. All rights reserved.
متن کاملA note of the Conjectured of Sierpinski on triangular numbers
Recently, Bennett arononled that he proved a conjecture of Sierpinski on triangular numbers. In this paper, we firstly modified the mistakes in reference [7] of Bennett and [8] of Chen and Fang, and then using Störmer’s theorem of the solutions of Pell equation, and a deep result of primitive divisor of Bilu, Hanrot and Voutier, we proved that there do not exist four distinct triangular numbers...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Notes
سال: 1929
ISSN: 1757-7489,2051-204X
DOI: 10.1017/s175774890000195x