In this work we consider a given root of family n-degree polynomials as one-variable function that depends only on the independent term. Then prove satisfies several ordinary differential equations (ODE). More concretely, it simple separated variables ODE, first order generalized Abel ODE degree n−1 and an (n−1)-th linear ODE. Although some our results are not new, approach is self-contained. F...

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Iterative Viterbi Algorithm for Con atenated Multi-dimensional TCM Qi Wang and Lei Wei Senior member, IEEE Abstra t| A novel ompound ode is designed for the popular multi-dimensional (M-D) Wei trellis ode [1℄ ombined with a simple parityhe k ode. Using the iterative Viterbi de oding algorithm, we an a hieve a remarkable performan e improvement with low omputational omplexity. Simulation results...

In this paper, we present a filtering technique that robustifies stabilizing controllers for systems composed of heterodirectional linear first-order hyperbolic Partial Differential Equations (PDEs) interconnected with Ordinary (ODEs) through their boundaries. The actuation is either available one the ODE or at boundary PDE. proposed framework covers broad general class systems. Assuming contro...

since the days of ignorance, ode in arabic literature has been written based on a specified system and poets and critics have used this defined structure as foundation of their works. arabic ode consists of several parts, each of which is an introduction to the next part; first verse of an ode is called matla'. after matla' are placed tashbib (to mention youth affairs) or nasib (soft ...