A Filbert matrix is a matrix whose (i, j) entry is 1/Fi+j−1, where Fn is the n Fibonacci number. The inverse of the n × n Filbert matrix resembles the inverse of the n× n Hilbert matrix, and we prove that it shares the property of having integer entries. We prove that the matrix formed by replacing the Fibonacci numbers with the Fibonacci polynomials has entries which are integer polynomials. W...

Using the notion of quantum integers associated with a complex number q 6= 0, we define the quantum Hilbert matrix and various extensions. They are Hankel matrices corresponding to certain little q-Jacobi polynomials when |q| < 1, and for the special value q = (1 − √ 5)/(1 + √ 5) they are closely related to Hankel matrices of reciprocal Fibonacci numbers called Filbert matrices. We find a formu...

Investigations using selective lesion techniques suggest that the septohippocampal cholinergic system may not be critical for spatial orientation. These studies employ spatial tasks that provide the animal with access to both environmental and self-movement cues; therefore, intact performance may reflect spared spatial orientation or compensatory mechanisms associated with one class of spatial ...

The 16S-23S rRNA gene internal transcribed spacer region (ITS1) from 34 strains of Pseudomonas avellanae and some strains of Pseudomonas syringae pathovars was amplified and assessed by restriction fragment length polymorphism (RFLP) using 10 restriction enzymes. In addition, the ITS1 region of four representative P. avellanae strains was sequenced and compared by the neighbour-joining algorith...

background: previous studies have demonstrated that nuts consumption have beneficial effects on serum lipid profiles in hyperlipidemic or normolipidemic subjects. however, similar studies in diabetes field are quite rare. so, we aimed to investigate the effects of hazelnut consumption on fasting blood sugar (fbs) and lipid profiles in patients with type 2 diabetes. materials and methods: an 8 â...