Plane waves: to infinity and beyond!

To Infinity and Beyond

We prove that if a group generated by a bireversible Mealy automaton contains an element of infinite order, its growth blows up and is necessarily exponential. As a direct consequence, no infinite virtually nilpotent group can be generated by a bireversible Mealy automaton. The study on how (semi)groups grow has been highlighted since Milnor’s question on the existence of groups of intermediate...

To Infinity and Beyond

Computer algebra systems (CAS) are sometimes expected to compute with infinities symbolically. Since operations on such objects do not always conform to a sufficient and consistent set of rules for ordinary arithmetic, some compromises are necessary. We discuss a few options and implementations.

To infinity, and beyond!

Reflection and Transmission of Plane Waves at Micropolar Piezothermoelastic Solids

The present investigation analysis a problem of r­­­eflection and transmission at an interface of two micropolar orthotropic piezothermoelastic media. The basic equations and constitutive relations for micropolar orthotropic piezothermoelastic media for G-L theory are derived. The expressions for amplitude ratios corresponding to reflected and transmitted waves are derived analytically. The eff...

Serendipity Based Medicine (SBM): To Infinity and Beyond *Corresponding author