We give a canonical construction of a balanced big Cohen-Macaulay algebra for a domain of finite type over C by taking ultraproducts of absolute integral closures in positive characteristic. This yields a new tight closure characterization of rational singularities in characteristic zero.

A quantum field theory, consisting of the effective action of sound waves linearly coupled to a Chern-Simons term, is proposed to describe the dynamics of vortices in a superfluid film at the absolute zero of temperature. PACS: 03.70.+k, 47.32.Cc, 67.70.+n

In this paper, we propose and study an adaptive delta modulator that has improved SNR performance and better robustness in tracking highly varying signals. The step-size adaptation used in this modulator is based on information about the absolute value of the quantizer input. The modulator is shown to be free of zero-input limit cycles and is BIBO stable.

A sufficient condition on the fractional integral of the absolute value of a function is given in this paper, which allows to assure the convergence of the function to zero. This result can be useful to assure the convergence of a function when it is hard to know its exact evolution, but conditions on its fractional integral can be stated.

Abstract We classify all possible texture zeros in a light neutrino mass matrix diagonal charged lepton basis by considering the Dirac nature of neutrinos. For Hermitian matrix, number remain same as Majorana zeros, but with less free parameters due to absence additional CP phases. Relaxing leads many more possibilities and freedom phases, mixing angles not constrained data. While we find only ...

We provide a necessary and a sufficient condition on an individual’s expected utility function under which any zero-mean idiosyncratic risk increases cautiousness (the derivative of the reciprocal of the absolute risk aversion), which is the key determinant for this individual’s demand for options and portfolio insurance. JEL Classification Codes: D51, D58, D81, G11, G12, G13.

Category Ratio Scale Category External Internal Abstract Nominal Scale Category External InternalNominal Scale Category External Internal Oridinal Scale Magnitude Equal Interval Absolute Zero Abstract Ratio Scale Nominal Scale Ratio Scale Ratio ScaleRatio Scale Nominal Scale Ratio Scale Ratio Scale (A) Shape→File Size (B) Length→File Type (C) Length→File Size Excel Word Draw

One-dimensional (1D) electron-hole (e-h) systems in a high-density regime is investigated by means of bozonization techniques. It turned out that the systems are insulating even at the high density limit and that the exciton Mott transition (insulator-to-metal transition) never occurs at absolute zero temperature. The insulating ground state exhibits a strong instability towards the crystalliza...

Let X 1 ,. .. , X n be independent with zero means, finite variances σ 2 1 ,. .. , σ 2 n and finite absolute third moments. Let F n be the distribution function of (X 1 + · · · + X n)/σ , where σ 2 = n i=1 σ 2 i , and that of the standard normal. The L 1-distance between F n and then satisfies