We introduce a matricial Toeplitz transform and prove that the Toeplitz transform of a second order recurrence sequence is another second order recurrence sequence. We investigate the injectivity of this transform and show how this distinguishes the Fibonacci sequence among other recurrence sequences. We then obtain new Fibonacci identities as an application of our transform.

this paper proposes an extension of markov chain model to characterize of geological formations and to make conditioning on any number of well data possible. in this study, lithofacies cycles of the amiran formation at type and pirshamsedin sections are examined by markov method and entropy analysis as well as field observations, and depositional environment has interpreted by proposed ideal se...

the purpose of this paper is to generalize the concepts of statisticalconvergence of sequences of fuzzy numbers defined by a modulus functionusing difference operator $delta$ and give some inclusion relations.

this study is focused on the biostratigraphy, sedimentary environments, facies distribution, and sequence stratigraphy of the coniacian–santonian sediments of tange-bulfaris section. five assemblage zones have been recognized by distribution of the foraminifera in the study area. assemblage zone 1(chara ostracods zone) is coniacian in age and occurs in the lower part of the succession. assembla...

a k-nacci sequence in a finite group is a sequence of group elements x0 , x1, x2 ,, xn , forwhich, given an initial (seed) set 0 1 2 1 , , , ,j x x x x  , each element is defined by0 1 11 1for ,for .nnn k n k nxx x j n kxx x x n k        in this paper, we examine the periods of the k-nacci sequences in miller’s generalization of the polyhedralgroups 2,2 2;q , n,2 2;q , 2, n 2;...

in this paper, the notion of n, pn - summability to generalize the concept of statisticalconvergence is used. we call this new method weighted statistically convergence. we also establish itsrelationship with statistical convergence, c,1-summability and strong   n n, p -summability.

finding repetitive subsequences in genome is a challengeable problem in bioinformatics research area. a lot of approaches have been proposed to solve the problem, which could be divided to library base and de novo methods. the library base methods use predetermined repetitive genome’s subsequences, where library-less methods attempt to discover repetitive subsequences by analytical approaches. ...

background: stearoyl-coa desaturase (scd) is a key enzyme that converts saturated fatty acids (sfas) to monounsaturated fatty acids (mufas) in fat biosynthesis. despite being crucial for interpreting scds’ roles across species, the evolutionary relationship of scd proteins across species has yet to be elucidated. this study aims to present this evolutionary relationship based on amino acid sequ...