In this paper, we consider an approach based on the elementary matrix theory. other words, take into account generalized Gaussian Fibonacci numbers. context, a general tridiagonal family. Then, obtain determinants of family via Chebyshev polynomials. Moreover, one type matrix, whose are Horadam hybrid polynomials, i.e., most form its by means polynomials second kind. We provided several illustr...

tomato as a highly nutritious vegetable crop is widely grown in the world. hybrid seed is preferably used for tomato production. identification of superior hybrid combination is one of the most important steps in the hybrid breeding programs. breeding of high yielding hybrids is expensive and involves testing large numbers of hybrid combinations in multi-environment trials. successful predictio...

The topology of electronic states in band insulators with mirror symmetry can be classified two different ways. One is terms the Chern number, an integer that counts number protected Dirac cones Brillouin zone high-symmetry surfaces. other via a $\mathbb{Z}_2$ index distinguishes between systems have nonzero quantized orbital magnetoelectric coupling ("axion-odd"), and those do not ("axion-even...

We give several identities about Fibonacci and Lucas hybrid numbers. introduce the numbers with negative subscripts. obtain different Cassini for conjugate of by two determinant definitions a square matrix (whose entries are numbers).

The hybrid numbers were introduced by Ozdemir [9] as a new generalization of complex, dual, and hyperbolic numbers. A number is defined $$k=a+bi+c\epsilon +dh$$ , where a, b, c, d are real $$ i,\epsilon ,h$$ operators such that $$i^{2}=-1,\epsilon ^{2}=0,h^{2}=1$$ $$ih=-hi=\epsilon +i$$ . This work intended an attempt to introduce the bi-periodic Horadam which generalize classical We give gener...

The purpose of this paper is to define and construct new number systems, called the harmonic complex Fibonacci sequences (HCF) hybrid (HHF) sequences. These are defined by inspiring well-known numbers in literature. We give some fundamental definitions theorems about these detail. Moreover, we examine algebraic properties such as Binet-like-formula, partial sums related Finally, provide a Maple...

The hybrid molten/solid In2O3 - 30-48 wt.% Bi2O3 oxide materials were studied with respect to their transport properties. The conductivities, oxygen ion transport numbers and oxygen permeation fluxes have been measured by using the four-probe DC, volumetric measurements of the faradaic efficiency and gas flow techniques, respectively. We show that the...