The robustness property can be added to DSC system at the expense of reducing performance, i.e., increasing the sum-rate. The aim of designing robust DSC schemes is to trade off between system robustness and compression efficiency. In this paper, after deriving an inner bound on the rate–distortion region for the quadratic Gaussian MDC based RDSC system with two encoders, the structure of...

Let $F$ be a non-Archimedean locally compact field‎. ‎Let $sigma$ and $tau$ be finite-dimensional representations of the Weil-Deligne group of $F$‎. ‎We give strong upper and lower bounds for the Artin and Swan exponents of $sigmaotimestau$ in terms of those of $sigma$ and $tau$‎. ‎We give a different lower bound in terms of $sigmaotimeschecksigma$ and $tauotimeschecktau$‎. ‎Using the Langlands...

The purpose of the present article is to study and introduce family holomorphic univalent functions defined on open unit disk incluing linear operators reduced by using convolution concept between two familiar introduced many authors also studied in various families generalized starlike convex functions. Also, mathematicians considered these families, our deals with Bord distribution series, we...

In this work we study the metric distortion problem in voting theory under a limited amount of ordinal information. Our primary contribution is threefold. First, consider mechanisms which perform sequence pairwise comparisons between candidates. We show that widely-popular deterministic mechanism employed most knockout phases yields \(\mathcal {O}(\log m)\) while eliciting only \(m-1\) out \(\v...

We prove a uniform generalized Gaussian bound for the powers of discrete convolution operator in one space dimension. Our is derived under assumption that Fourier transform coefficients trigonometric rational function, which generalizes previous results were restricted to polynomials. also allow modulus attain its maximum at finitely many points over period.