Abstract Beam lattice materials are characterized by a periodic microstructure realizing geometrically regular pattern of elementary cells. The dispersion properties governing the free dynamic propagation elastic waves can be studied formulating parametric discrete models cellular and applying Floquet-Bloch theory. Within this framework, wave means spectral design techniques and/or energy dissi...

let $k$ be a field of characteristic$p>0$, $k[[x]]$, the ring of formal power series over $ k$,$k((x))$, the quotient field of $ k[[x]]$, and $ k(x)$ the fieldof rational functions over $k$. we shall give somecharacterizations of an algebraic function $fin k((x))$ over $k$.let $l$ be a field of characteristic zero. the power series $finl[[x]]$ is called differentially algebraic, if it satisfies...