Introduction: Recently, the principle feasibility of Electrical Properties Tomography (EPT) has been shown at different field strengths, 1.5 T [1], 3 T [1b], and 7 T [2]. Using the Helmholtz equation to investigate the effect of the local electrical properties on the B1 field (Eq.1 see also [2]) one can obverse that the effect of the local dielectric properties on the B1 field scales with the (...

An iterative scheme for constructing compactly supported orthonormal (o.n.) multi-wavelets with vanishing moments of arbitrarily high order is established. Precisely, let φ = [φ1, · · · , φr] be an r-dimensional o.n. scaling function vector with polynomial preservation of order (p.p.o.) m, and ψ = [ψ1, · · · , ψr] an o.n. multiwavelet corresponding to φ, with two-scale symbols P and Q, respecti...

The ”handbag” model was proposed as an alternative, at the present day energies, to the leading term QCD predictions for some hard exclusive processes. The recent precise data from the Belle Collaboration on the large angle cross sections γγ → ππ , KK allow a check of these two approaches to be performed. It is shown that the handbag model fails to describe the data from Belle, while the leadin...

The almost Mathieu operator is the discrete Schrödinger operator Hα,β,θ on `2(Z) defined via (Hα,β,θf)(k) = f(k+1)+f(k−1)+β cos(2παk+θ)f(k). We derive explicit estimates for the eigenvalues at the edge of the spectrum of the finite-dimensional almost Mathieu operator H α,β,θ. We furthermore show that the (properly rescaled) m-th Hermite function φm is an approximate eigenvector of H α,β,θ, and ...

The ”handbag” model was proposed as an alternative, at the present day energies, to the leading term QCD predictions for some hard exclusive processes. The recent precise data from the Belle Collaboration on the large angle cross sections γγ → ππ , KK allow a check of these two approaches to be performed. It is shown that the handbag model fails to describe the data from Belle, while the leadin...

1. Preview 2 Complex multiplication on elliptic curves over C 2 Traces of singular moduli 3 Class field theory 3 The Kronecker limit formula and Kronecker’s solution of Pell’s equation 4 Application to Diophantine equations (Villegas) 4 L-series and CM modular forms 5 Other topics 6 2. Complex Multiplication on Elliptic Curves over C 6 Elliptic Curves over C 6 Elliptic functions 7 Complex multi...

W develop a model for the competitive interactions in service industries where firms cater to multiple customer classes or market segments with the help of shared service facilities or processes so as to exploit pooling benefits. Different customer classes typically have distinct sensitivities to the price of service as well as the delays encountered. In such settings firms need to determine (i...

We consider a Rebelo (1991) type model of endogenous growth in which the environmental quality positively affects the rate of human capital accumulation and the environmental quality itself is positively affected by human capital accumulation and is negatively affected by physical capital accumulation. We analyse the effects of taxation on the steady state equilibrium growth rate in this model....

This paper suggests an alternative explanation for why resource-rich economies have lower growth rates: because they are likely to be living beyond their means. It is shown that overshooting the steady state's equilibrium consumption and investment can be optimal in a Ramsey growth model with natural resources. Therefore the economy will converge to its steady state from above, displaying negat...

For some of the EOS models the dimension of equilibrium problem can be reduced. Stability and difficulties in implementation are among the problems of flash calculation. In this work, a new reduction technique is presented to prepare a reduced number of equilibrium equations. Afterwards, a number of appropriate solution variables are selected for the prepared equation system to solve the equati...