We examine the problem of periodic nonuniform sampling of a multiband signal and its reconstruction from the samples. This sampling scheme, which has been studied previously, has an interesting optimality property that uniform sampling lacks: one can sample and reconstruct the class ( ) of multiband signals with spectral support , at rates arbitrarily close to the Landau minimum rate equal to t...

Karp and Lipton introduced advice-taking Turing machines to capture nonuniform complexity classes. We study this concept for automata-like models and compare it to other nonuniform models studied in connection with formal languages in the literature. Based on this we obtain complete separations of the classes of the Chomsky hierarchy relative to advices.

How iceberg shape affects melting is investigated in a combined experimental and numerical study of ice warm salt water. Experiments show that, contrast to previous models, highly nonuniform---side melt rates can be up 3 times larger than bottom rates, vary significantly within each face. Numerical simulations reveal that vortices accelerate at high flow speeds, double diffusive effects matter ...

Abstract: The exact description of the overall behavior of composites with nonlinear dissipative phases requires an infinity of internal variables. Approximate models involving only a finite number of those can be obtained by considering a decomposition of the microscopic anelastic strain field on a finite set of transformation fields. The Transformation Field Analysis of Dvorak (1992) correspo...

We review mathematical methods for the treatment of a system of Bose particles with nonuniform density. Common pitfalls are pointed out.

We propose a new way to model conditional independence in Markov models. The central feature of our nonuniform Markov model is that it makes predictions of varying lengths using contexts of varying lengths. Experiments on the Wall Street Journal reveal that the nonuniform model performs slightly better than the classic interpolated Markov model of Jelinek and Mercer (1980). This result is somew...