Abstract. We prove that sparse resultants having Mahler measure equal to zero are those whose Newton polytope has dimension one. We then compute the Mahler measure of resultants in dimension two, and examples in dimension three and four. Finally, we show that sparse resultants are tempered polynomials. This property suggests that their Mahler measure may lead to special values of L-functions an...

Abstract A simple procedure for estimating the uncertainty of estimates true solutions to problems deflection, stress concentrations, and force resultants in solid structural mechanics is introduced. Richardson extrapolation carried out on a dataset samples from sequence four grids. Simple median-based statistical analysis used establish 95% confidence intervals. The leads calculations that del...

We present constitutive laws of structural members, such as beams, plates and shells, using the granular micromechanics approach. These relationships between internal resultants (i.e., forces moments) kinematic variables strains curvatures) depend solely on microstructural properties constituents structure geometry. The macroscopic behavior is derived by investigating average grain-pair interac...