1 An introduction to semi-classical analysis for a class of nonlinear Schrödinger equations We consider the asymptotic behavior of the solution to the following semi-classical nonlinear Schrödinger equation:    iε∂ t u ε + 1 2 ε 2 ∆u ε = ε α F (u ε), (t, x) ∈ R 1+N u ε |t=0 = u ε 0 (NLS ε) as positive parameter ε → 0. The parameter ε corresponds to the Planck constant and the limit ε → 0 is ...

nanofber  mats  of  poly(ε-caprolactone)/nanoclay  nanocomposites  were fabricated by electrospinning. the effects of the solution concentration and  the  nanoclay  content  of  nanocomposite  materials  on  the  fnal nanofber  structure were  investigated. morphology  and  diameter  of  the  nanofbers were studied using optical and scanning electron microscope. it was observed that the  poly(ε...

After updating the determination of the combination of Kobayashi-Maskawa elements ImVtdV ∗ ts according to our new estimate of the parameter B̂K , we study the CP -violating ratio ε/ε by means of hadronic matrix elements computed to O(p) in the chiral expansion. It is the first time that this order in chiral perturbation theory is included. We also discuss the relevance of some O(p) terms that a...

We present a new analysis of the ratio ε′/ε which measures the direct CP violation in K → ππ decays. We use the 1/Nc expansion within the framework of the effective chiral lagrangian for pseudoscalar mesons. The 1/Nc corrections to the hadronic matrix elements of all operators are calculated at leading order in the chiral expansion. Performing a simple scanning of the input parameters we obtain...

We critically analyze recent attempts to include final state interaction (FSI) effects in the calculation of the CP violating ratio ε/ε. In particular the approach of using the Muskhelishvili-Omnès equation for the decay amplitudes is examined. We find that the values of the dispersive correction factors are very sensitive to initial conditions which are, at present, out of control, and demonst...

This analysis investigates the distortion of flow measurement and the increase of cavitation along orifice flowmeter. The analysis using the numerical method (CFD) validated the distortion of flow measurement through the inlet velocity profile considering the convergence and grid dependency. Realizable k-e model was selected and y+ was about 50 in this numerical analysis. This analysis also est...

let z2 = {0, 1} and g = (v ,e) be a graph. a labeling f : v → z2 induces an edge labeling f* : e →z2 defined by f*(uv) = f(u).f (v). for i ε z2 let vf (i) = v(i) = card{v ε v : f(v) = i} and ef (i) = e(i) = {e ε e : f*(e) = i}. a labeling f is said to be vertex-friendly if | v(0) − v(1) |≤ 1. the vertex balance index set is defined by {| ef (0) − ef (1) | : f is vertex-friendly}. in this paper ...

This paper describes an on-line method for building ε-insensitive support vector machines for regression as described in (Vapnik, 1995). The method is an extension of the method developed by (Cauwenberghs & Poggio, 2000) for building incremental support vector machines for classification. Machines obtained by using this approach are equivalent to the ones obtained by applying exact methods like...

This work presents another concept of observability in nonlinear systems, when the states of these types of models are described using a representation by interval numbers. This approach is an extension of classical concepts of nonlinear observability, called ε-observability and is based on a notion of the neighborhood of a state with a given precision of epsilon. Our proposal includes the noti...

Let K/k be a normal extension of number fields with abelian Galois group G. Suppose there is an infinite place v of k such that the set of nontrival characters χ : G−→C× which are ramified at all infinite places except v is nonempty. Then the corresponding Artin L-functions L(χ, s) have zeros of the first order at s = 0, and if we fix any embedding of the bigger field K to C which extends v the...