We compute derivatives of thermodynamic quantities with respect to μ, at μ = 0 for 2 and 3 flavors of degenerate quark masses. This allows us to estimate the phase transition line in the T, μ plane and quantify the influence of a non vanishing chemical potential on the equation of state by computing lines of constant energy, pressure and density. Moreover we evaluate the order of the QCD phase ...

The linearizability or isochronicity problem is one of the open problems for polynomial differential systems which is far to be solved in general. A progressive way to find necessary conditions for linearizability is to compute period constants. In this paper, we are interested in the linearizability problem of p :−q resonant degenerate singular point for polynomial differential systems. Firstl...

today, along with enhancement of social well-being andeconomic development, demand for transportation is growing increasingly.many countries are seeking for providing transportation servicesat a reasonable price. therefore, optimization of carrying goods on nationalor international roads is highly important in terms of costs andtransportation indicator, so that the goods are shipped at minimumc...

It has recently been reported that the performance of hyperelliptic curve cryptosystems (HECC) is competitive to that of elliptic curve cryptosystems (ECC). However, it is expected that HECC still can be improved due to their mathematically rich structure. We consider here the application of degenerate divisors of HECC to scalar multiplication. We investigate the operations of the degenerate di...

This paper presents a method to compute curvatures of a surface patch S obtained from a degenerate representation defined over a rectangular domain. To compute curvatures at a point 4 in S where the surface representation is degenerate one has to assume that the point sef S has a tangent plane and well defined curvatures at the point 4 where the curvatures are to be computed. Our computation me...

We present experimental, numerical, and analytical results for the study of near-field interaction of twisted split-ring resonators, the basic elements of the so-called stereometamaterials. In contrast to previous results, we observe a crossing point in the dispersion curves where the symmetric and antisymmetric modes become degenerate. We introduce a model to describe the interplay between mag...

Hyperplanes and hyperplane complements in the Segre product of partial linear spaces are investigated. The parallelism of such a complement is characterized in terms of the point-line incidence. Assumptions, under which the automorphisms of the complement are the restrictions of the automorphisms of the ambient space, are given. An affine covering for the Segre product of Veblenian gamma spaces...

We study extremal properties of the determinant of the Laplacian in the Bergman metric on the moduli space of compact genus two Riemann surfaces. By a combination of analytical and numerical methods we identify four non-degenerate critical points of this function and compute the signature of the Hessian at these points. The curve with the maximal number of automorphisms (the Burnside curve) tur...

A slave-boson functional-integral method has been developed for the Hubbard model with arbitrary, orbital degeneracy D. Its saddle-point mean-field theory is equivalent to the Gutzwiller approximation, as in the case of single-band Hubbard model. Our theory is applied to the doubly degenerate (D = 2) model, whose paramagnetic state has been studied by numerical calculations. The effect of the e...

We prove the uniqueness of the martingale problem associated to some degenerate operators. The key point is to exploit the strong parallel between the new technique introduced by Bass and Perkins [2] to prove uniqueness of the martingale problem in the framework of non-degenerate elliptic operators and the Mc Kean and Singer [13] parametrix approach to the density expansion that has previously ...