The Lie algebra of infinitesimal CR automorphisms is a fundamental local invariant manifold. Motivated by the Poincaré equivalence problem, we analyze its positively graded components, containing nonlinearizable holomorphic vector fields. results provide complete description weighted homogeneous polynomial models in $$\mathbb C^N$$ , which admit symmetries degree higher than two. For models, wi...

agar is a gelling biopolymer that can be extracted from cell wall of some red algae. in this present, response surface methodology was used to investigate the procedure of agar melting point and gelling temperature from cultural algae of gracilariopsis persica. independent variables, alkalinity concentration (2, 3.2, 5, 6.8, -8%), extraction temperature (90, 96, 105, 114, 120°c) and extraction ...

In this paper, we consider approximation algorithms for optimizing a generic multivariate polynomial function in discrete (typically binary) variables. Such models have natural applications in graph theory, neural networks, error-correcting codes, among many others. In particular, we focus on three types of optimization models: (1) maximizing a homogeneous polynomial function in binary variable...

‎this paper obtains the exact solutions of the wave equation as a second-order partial differential equation (pde)‎. ‎we are going to calculate polynomial and non-polynomial exact solutions by using lie point symmetry‎. ‎we demonstrate the generation of such polynomial through the medium of the group theoretical properties of the equation‎. ‎a generalized procedure for polynomial solution is pr...

the omega polynomial(x) was recently proposed by diudea, based on the length of stripsin given graph g. the sadhana polynomial has been defined to evaluate the sadhana index ofa molecular graph. the pi polynomial is another molecular descriptor. in this paper wecompute these three polynomials for some infinite classes of nanostructures.