This paper reports on new results for the equation

A new “polynomial sieve” is presented and used to show that almost all integers have at most one representation as a sum of two values of a given polynomial of degree at least 3.

The question of who is and who is not a bilingual is more difficult to answer than it first appears. Bilingualism was long regarded as the equal mastery of two languages, a definition that still prevails in certain glossaries of linguistics. However, today's complex world requires a more exact definition and analysis of the competencies that community members require to interact with speakers o...

calculate some thermodynamic properties of molten polymers including specific volume and isothermal compressibility (s.m. hoseini, physical chemistry & electrochemistry, 2 (2014) 56-65). this work extended that eos to predict the volumetric properties of some molten ethylene copolymers including ethylene/1-octene, ethylene/1-butene (xethylene equal to 0.8543 and 0.563), ethylene/propene. the ab...

We find candidate macroscopic gravity duals for scale-invariant but non-Lorentz invariant fixed points, which do not have particle number as a conserved quantity. We compute two-point correlation functions which exhibit novel behavior relative to their AdS counterparts, and find holographic renormalization group flows to conformal field theories. Our theories are characterized by a dynamical cr...

in this paper high order multidimensional positive definite advection transport algorithm (mpdata) and compact finite difference methods are applied to one (1-d) and two-dimensional (2-d) advection equation. mpdata methods are designed based on upwind scheme using anti-diffusive velocity that compensates diffusivity of upwind method. in high order compact method one implicit relation between a ...