We present two results characterizing minimizers of the LTV functional F (u) ≡ ∫ |∇u|dx+λ ∫ |u−f |dx; u, f : R → R. If we restrict to u = χΣ and f = χΩ, Σ,Ω ∈ R, the LTV functional reduces to E(Σ) = Per(Σ) + λ|Σ M Ω|. We show that there is a minimizer Σ such that its boundary ∂Σ lies between the union of all balls of radius nλ contained in Ω and the corresponding union of nλ -balls in Ω . We al...

The hydrogen molecule can be used for determination of physical constants, including the proton charge radius, and for improved tests of the hypothetical long range force between hadrons, which require a sufficiently accurate knowledge of the molecular levels. In this work, we perform the first step toward a significant improvement in theoretical predictions of H2 and solve the nonrelativistic ...

Article history: Received 03 May 2012 Accepted 26 April 2013 Available online 24 May 2013 Submitted by R.A. Brualdi

In this paper, we give lower and upper bounds on the covering radius of codes over the ring R = Z2 + uZ2, where u2 = 0 with bachoc distance and also obtain the covering radius of various Repetition codes, Simplex codes of α-Type code and β-Type code. We give bounds on the covering radius for MacDonald codes of both types over R = Z2 + uZ2. MSC: 20C05, 20C07, 94A05, 94A24.

in this paper, a photonic crystal waveguide with point defects and lattice constant perturbations of +5%, -5% are being investigated. firstly waveguide structures with constant and specific parameters are being studied and photonic band gap diagrams for te/tm modes are depicted; then pulse propagation in the frequencies available in the band gap are shown. after that, effects of parameters like...

background: although giant cell tumor (gct) is considered to be a primary benign bone tumor, its aggressive behavior makes its diagnosis and treatment, difficult and challenging. this is especially true in distal radius where gct appears to be more aggressive and difficult to control locally. we report our clinical outcome of en-block resection and reconstruction with non-vascularized fibular a...

Recently, a new parameter of a code, referred to as the remoteness, has been introduced.This parameter can be viewed as a dual to the covering radius. It is exactly determined for the cyclic and dihedral groups. In this paper, we consider the group $U_{6n}$ as a subgroup of $S_{2n+3}$ and obtain its remoteness.  We show that the remoteness of the permutation code $U_{6n}$ is $2n+2$.  Moreover, ...

In this research, the effect of the first order magnetic field on the ground-state of a centered hydrogenic donor impurity in a GaAs/AlAs spherical quantum dot has been calculated. The perturbation method has been used within the framework of effective mass approximation for these calculations. Overall, the analysis shows that a proper choice of quantum dot radius and magnetic field can signifi...

In this research, the effect of the first order magnetic field on the ground-state of a centered hydrogenic donor impurity in a GaAs/AlAs spherical quantum dot has been calculated. The perturbation method has been used within the framework of effective mass approximation for these calculations. Overall, the analysis shows that a proper choice of quantum dot radius and magnetic field can signifi...

we consider   bivariate  mean-value interpolationproblem, where the integrals over circles are interpolation data. in this case the problem  is described  over   circles of the same radius and with  centers are on astraight line and it is shown that in this case the interpolation is not correct.