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 ...

The strip packing problem is to pack a set of rectangles into a strip of fixed width and minimum length. We present asymptotic polynomial time approximation schemes for this problem without and with 90o rotations. The additive constant in the approximation ratios of both algorithms is 1, improving on the additive term in the approximation ratios of the algorithm by Kenyon and Rémila (for the pr...

We construct integrality gap instances for SDP relaxation of the MAXIMUM CUT and the SPARSEST CUT problems. If the triangle inequality constraints are added to the SDP, then the SDP vectors naturally define an n-point negative type metric where n is the number of vertices in the problem instance. Our gap-instances satisfy a stronger constraint that every sub-metric on t = O((log log log n) 1 6 ...

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...

Background and aim:  Although there have been substantial developments in dental implant therapies, achieving good implant stability (ISQ >60) for implants inserted in augmented sinus sites appears to be challenging in comparison with non-augmented sites due to the high prevalence of bone resorption in posterior regions of maxilla. This study aimed to evaluate and compare the time required to a...

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 ...