Density functional theory (DFT) calculations were performed to investigate adsorptions of vitamin C (Vit) on the surface a fullerene structure (Ful) in gaseous and water–solvated systems. Two models of Vit including OVit and MVit were created based on the original structure of Vit for OVit and methylation of all hydroxyl groups for MVit. All singular and hybrid structures were optimized and the...

Plainly, this judgment was prompted by the absence of agreement between the question's subject and verb. Efforts i s plural and 'requires the plural are, not the singular is. Belying its reputation as an effete detail, agreement i s a paradigm case ofwhat syntax does. Fundamentally, syntax ties together words that rep resent elements of nonlinguistic thought. The following example illustrates h...

In the linear system Ax = b the points x are sometimes constrained to lie in a given subspace S of column space of A. Drazin inverse for any singular or nonsingular matrix, exist and is unique. In this paper, the singular consistent or inconsistent constrained linear systems are introduced and the effect of Drazin inverse in solving such systems is investigated. Constrained linear system arise ...

We consider Jacobi matrices with zero diagonal and off-diagonals given by elements of the hull of the Fibonacci sequence and show that the spectrum has zero Lebesgue measure and all spectral measures are purely singular continuous. In addition, if the two hopping parameters are distinct but sufficiently close to each other, we show that the spectrum is a dynamically defined Cantor set, which ha...

We consider the numerical approximation of a model convection–diffusion equation by standard bilinear finite elements. Using appropriately graded meshes we prove optimal order error estimates in the ε-weighted H 1-norm valid uniformly, up to a logarithmic factor, in the singular perturbation parameter. Finally, we present some numerical examples showing the good behavior of our method. © 2006 I...

In this paper a solution of combined field integral equation (CFIE) for electromagnetic scattering by an arbitrary shaped dielectric object is studied. We derive a novel CFIE formulation in which the electric and magnetic field integral equations (EFIE and MFIE) are combined in the usual manner outside the object. Inside the object CFIE is composed by changing the roles of EFIE and MFIE. In add...

In the present article, main attention is given to fractal sets whose elements have certain restrictions on using digits or combinations of in own nega-P-representation. Topological, metric, and properties images self-similar fractals under action some singular distributions, are investigated.

We construct special solutions to the rational quantum KnizhnikZamolodchikov equation associated with the Lie algebra glN . The main ingredient is a special class of the shifted non-symmetric Jack polynomials. It may be regarded as a shifted version of the singular polynomials studied by Dunkl. We conjecture that our solutions contain those obtained as a scaling limit of matrix elements of the ...

In this paper, the dynamics of the Chebyshev-Halley family is studied on quadratic polynomials. A singular set, that we call cat set, appears in the parameter space associated to the family. This cat set has interesting similarities with the Mandelbrot set. The parameters space has allowed us to find different elements of the family such that can not converge to any root of the polynomial, sinc...

We give necessary and sufficient conditions for a certain class of local arithmetical congruence monoids (or ACMs) to have accepted elasticity. Let a and b be positive integers with a ≤ b and a ≡ a (mod b). Under these conditions, the arithmetic sequence a, a+ b, a+ 2b, a+ 3b, . . . is closed under multiplication and is a multiplicative semigroup. Setting M(a, b) = {a+ kb | k ∈ N0} ∪ {1} produc...