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On the norms of r-circulant matrices involving balancing and Lucas-balancing numbers

open access: yes
In this article, we investigate the r-circulant matrices B[r] and C[r] involving the balancing and Lucas-balancing numbers respectively with arithmetic indices. For matrices B[r] and C[r], we establish the direct formula for the eigenvalues, the determinant, the Euclidean norm and the bound for the spectral norm.
Prasad, Kalika   +2 more
openaire   +1 more source

Morinda citrifolia Essential Oil: A Plant Resistance Biostimulant and a Sustainable Alternative for Controlling Phytopathogens and Insect Pests. [PDF]

open access: yesBiology (Basel)
Dias BL   +14 more
europepmc   +1 more source

Protein Dose-Sparing Effect of AS01B Adjuvant in a Randomized Preventive HIV Vaccine Trial of ALVAC-HIV (vCP2438) and Adjuvanted Bivalent Subtype C gp120. [PDF]

open access: yesJ Infect Dis
Chirenje ZM   +31 more
europepmc   +1 more source

Probiotic Microorganisms in Inflammatory Bowel Diseases: Live Biotherapeutics as Food. [PDF]

open access: yesFoods
Santos EN   +9 more
europepmc   +1 more source

Organizational Rigidity and Demands: A Qualitative Study on Nursing Work in Complex Organizations. [PDF]

open access: yesNurs Rep
van Kraaij J   +5 more
europepmc   +1 more source

Piloting an automated query and scoring system to facilitate APDS patient identification from health systems. [PDF]

open access: yesFront Immunol
FitzPatrick AM   +17 more
europepmc   +1 more source

Distinct Escherichia coli transcriptional profiles in the guts of recurrent UTI sufferers revealed by pangenome hybrid selection. [PDF]

open access: yesNat Commun
Young MG   +17 more
europepmc   +1 more source

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