Using the coupled cluster expansion with the random phase approximation, we calculate the long wavelength vacuum wave function and the vacuum energy of 2+1 dimensional Hamiltonian SU(2) lattice gauge theory (LGT) up to the seventh order. The coefficients μ0 , μ2 of the vacuum wave function show good scaling behavior and convergence in high order calculations. PACS indices: 11.15.Ha, 12.38.Gc

The semi-local convergence is presented for a one parameter seventh order method to obtain solutions of Banach space valued nonlinear models. Existing works utilized hypotheses up the eighth derivative prove local convergence. But these high derivatives are not on and they may exist. Hence, earlier results can only apply solve equations containing operators that at least eight times differentia...

In this paper a finite element method involving Petrov-Galerkin method with quintic B-splines as basis functions and septic B-splines as weight functions has been developed to solve a general seventh order boundary value problem with a particular case of boundary conditions. The basis functions are redefined into a new set of basis functions which vanish on the boundary where the Dirichlet and ...

The purpose of the present study was to investigate and rank order by importance the contributions of various cognitive predictors to reading comprehension in third, seventh, and tenth graders. An exploratory factor analysis revealed that for third grade, the best fit was a four-factor solution including Fluency, Verbal Reasoning, Nonverbal Reasoning, and Working Memory factors. For seventh and...

objectives: the aim of the study was to compare the effect of fifth and seventh generation bonding agent on sealant success. materials and methods: sixty-four school children aged six to nine years received sealants in four permanent molars in a split mouth design, such that each patient received sealant in the first permanent molar with fifth generation bonding agent in one arch and seventh ge...