The Lewis-Zagier correspondence, which attaches period functions to Maaß wave forms, is extended to wave forms of higher order, which are higher invariants of the Fuchsian group in question. The key ingredient is an identification of Higher order invariants with ordinary invariants of unipotent twists. This makes it possible to apply standard methods of automorphic forms to higher order forms.

This paper intends to provide the reader with an overview of the Special Issue on Wave Energy Converters. Through 16 contributions from authors of 10 different countries, a number of key topics have been tackled, including resource assessment, engineering design, and financial analysis. As a whole, the Special Issue forms an interesting and helpful compendium on the state of the art of wave ene...

This commentary on the recent think piece by Mannion and Exworthy reviews their core arguments, highlighting their suggestion that recent forces for personalization have emerged which may counterbalance the strong standardization wave which has been evident in many healthcare settings and systems over the last two decades. These forces for personalization can take very different forms. The comm...

Peristaltic transport of a Casson fluid in a channel with permeable walls is investigated. Exact analytical solution of the flow quantities are developed under long wavelength and low Reynolds number assumptions. The effects of Darcy number and yield stress on the pumping characteristics are obtained and discussed. It is observed that for a given ∆P , the flux Q̄ decreases with increasing Darcy ...

A two-block X-ray Fresnel zone plate system forms two-beams - a plane wave and a spherical wave - which interfere at the focal distance of the virtual source of the spherical wave. An object placed in the path of the plane wave forms an object wave and the spherical wave is the reference wave. The recorded intensity distribution is the Fourier transform hologram of the object. Analytical and nu...

Real-time Water Waves with Wave Particles. (August 2010) Cem Yuksel, B.S.; M.S., Bogazici University, Turkey Co–Chairs of Advisory Committee: Dr. John Keyser Dr. Donald H. House This dissertation describes the wave particles technique for simulating water surface waves and two way fluid-object interactions for real-time applications, such as video games. Water exists in various different forms ...

the study of wave and its propagation on the water surface is among significant phenomena in designing quay, marine and water structures. therefore, in order to design structures which are exposed to direct wave forces, it is necessary to study and simulate water surface height and the wave forces on the structures body in different boundary conditions. in this study, the propagation of static ...