in cite{p}, park introduced the quadratic $rho$-functional inequalitiesbegin{eqnarray}&& |f(x+y)+f(x-y)-2f(x)-2f(y)| && qquad le  left|rholeft(2 fleft(frac{x+y}{2}right) + 2 fleft(frac{x-y}{2}right)- f(x) -  f(y)right)right|,  nonumberend{eqnarray}where $rho$ is a fixed complex number with $|rho|andbegin{eqnarray}&& left|2 fleft(frac{x+y}{2}right) + 2 fleft(frac{x-y}{2}r...

In cite{p}, Park introduced the quadratic $rho$-functional inequalitiesbegin{eqnarray}label{E01}&& |f(x+y)+f(x-y)-2f(x)-2f(y)| \ && qquad le  left|rholeft(2 fleft(frac{x+y}{2}right) + 2 fleft(frac{x-y}{2}right)- f(x) -  f(y)right)right|,  nonumberend{eqnarray}where $rho$ is a fixed complex number with $|rho|

We show how to use the parallelized kangaroo method for computing invariants in real quadratic function fields. Specifically, we show how to apply the kangaroo method to the infrastructure in these fields. We also show how to speed up the computation by using heuristics on the distribution of the divisor class number, and by using the relatively inexpensive baby steps in the real quadratic mode...

Our purpose in this paper is the generalization of notions quadratic and symplectic structures to case 3-(Hom)-$\rho$-Lie algebras. We describe some properties them by expressing related lemmas theorems. Also, we introduce concept 3-pre-(Hom)-$\rho$-Lie algebras define their representation.

Based on the Hugenholtz–Van Hove theorem, six basic quantities of EoS in isospin asymmetric nuclear matter are expressed terms nucleon kinetic energy t(k), symmetric and parts single-nucleon potentials $$U_0(\rho ,k)$$ $$U_{\text {sym},i}(\rho . The include quadratic symmetry $$E_{\text {sym,2}}(\rho )$$ , quartic {sym,4}}(\rho their corresponding density slopes $$L_2(\rho $$L_4(\rho incompress...

We examine the Kerr/CFT correspondence in Einstein gravity extended with quadratic curvature invariants. consider two explicit examples four and five dimensions compute central charges of asymptotic symmetry algebras near horizon geometries, using improved version BBC formalism that encompasses information Lagrangian. find resulting Cardy entropy differs from Wald entropy, caused by Riemann-squ...

The characterization of the gravitational field isolated objects is still an open question in quadratic theories gravity. We study static equilibrium solutions for a self-gravitating fluid extensions General Relativity including terms Weyl tensor $C_{\mu\nu\rho\sigma}$ and Ricci scalar $R$, as suggested by one-loop corrections to classical By means shooting method procedure we link total mass s...

Rotation and reflection symmetries impose that out-of-plane (flexural) phonons of freestanding graphene membranes have a quadratic dispersion at long wavelength and can be excited by charge carriers in pairs only. As a result, we find that flexural phonons dominate the phonon contribution to the resistivity rho below a crossover temperature T(x) where we obtain an anomalous temperature dependen...