Results 61 to 70 of about 2,867 (218)
On the spectral norm of r-circulant matrices with the Pell and Pell-Lucas numbers
Journal of Inequalities and Applications, 2016 Let us define A = C r ( a 0 , a 1 , … , a n − 1 ) $A=C_{r}(a_{0},a_{1},\ldots,a_{n-1})$ to be a n × n $n \times n$ r-circulant matrix. The entries in the first row of A = C r ( a 0 , a 1 , … , a n − 1 ) $A=C_{r}(a_{0},a_{1},\ldots,a_{n-1})$ are a i = P i
Ramazan Türkmen, Hasan Gökbaş
doaj +1 more source
British Journal of Special Education, EarlyView.Abstract As the numbers of autistic children attending school in Ireland increases, there is a growing reliance on specialised provision. Individual Education Plans (IEPs) are considered fundamental to this type of educational provision. However, emerging evidence from the Irish context reveals substantial shortcomings in the IEP process. Of particular
Laura Gormley +2 more
wiley +1 more source
Circulant and semicirculant matrices with the Pell, Pell-Lucas and modified Pell numbers [PDF]
, 2005 Bu çalışmada, Pell, Pell - Lucas ve Modified Pell sayıları ile circulant ve semicirculant matrisler tanımlanmıştır. İlk olarak bu sayılar ile tanımlanan circulant matrislerin özdeğerleri, determinantları ve normları (spektral, Euclides ve satır ...
Alptekin, Emine Gökçen
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ON SUMS OF SQUARES OF PELL-LUCAS NUMBERS [PDF]
, 2006 In this paper we prove several formulas for sums of squares of even Pell-Lucas numbers, sums of squares of odd Pell-Lucas numbers, and sums of products of even and odd Pell-Lucas numbers.
Gianella, Gian Mario +3 more
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Unrestricted Pell and Pell – Lucas 2N-ons [PDF]
, 2022 In this study, we define unrestricted Pell and Pell – Lucas hyper-complex numbers. We choose arbitrary Pell and Pell – Lucas numbers for the coefficients of the ordered basis 〖{e〗_0,e_1,⋯,e_(N-1)} of hyper-complex 2^N-ons where N∈{0,1,2,3,4} and call ...
Öznur BAYRAKÇI ÖZSOY +3 more
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Fascinating Number Sequences from Fourth Order Difference Equation Via Quaternion Algebras
Discussiones Mathematicae - General Algebra and Applications, 2021 The balancing and Lucas-balancing numbers are solutions of second order recurrence relations. A linear combination of these numbers can also be obtained as solutions of a fourth order recurrence relation.
Patra Asim
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SOME LINKS OF BALANCING AND COBALANCING NUMBERS WITH PELL AND ASSOCIATED PELL NUMBERS [PDF]
, 2014 Links of balancing and cobalancing numbers with Pell and associated Pell numbers are established. It is proved that the nth balancing number is product of the nth Pell number and the nth associated Pell number.
G. K. Panda, Prasanta Kumar Ray
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New Results on Negative-Indexed Pell Numbers via Matrix Methods
Cumhuriyet Science JournalIn this study, we investigate the Pell and Pell–Lucas numbers sequences and construct matrices whose elements are defined using negative indices of these sequences through Binet’s formula. Identities involving negative-indexed Pell and Pell–Lucas numbers
İbrahim Gökcan +2 more
doaj +1 more source
Insect Science, EarlyView.The level of aggressiveness of an individual is a factor that shapes intraguild predation (IGP) interactions. In Nabis americoferus, high aggressiveness leads to an increase in attack rate and IGP against Harmonia axyridis. Moreover, the absence of extraguild prey seems to exacerbate IGP. In docile N.
Pierre Royer +3 more
wiley +1 more source
, 2012 Bu çalışmada Gauss Fibonacci ve Gauss Lucas sayıları gözönüne alınarak Gauss Pell, Gauss Pell-Lucas, Gauss Jacobsthal ve Gauss Jacobstal-Lucas sayıları tanımlanmış olup bu sayılarla ilgili bazı özellikler elde edilmiştir.
Özkan, Gül
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