Some trigonometrical series, VI

A note on mixed boundary value problems involving triple trigonometrical series

This study was motivated by the two-dimensional hydrodynamic slamming problem of a steep wave hitting a vertical wall. The fundamental problem considers dual impact on the wall at the lower and upper region resembling the impact of a wave at the time of its breaking. The solution method results into a mixedboundary value problem that involves a triplet of trigonometrical series which, to the au...

Notes on Some Remedies. VI. Sulphonamides. II

Fragile watermarking using finite field trigonometrical transforms

Fragile digital watermarking has been applied for authentication and alteration detection in images. Utilizing the cosine and Hartley transforms over finite fields, a new transform domain fragile watermarking scheme is introduced. A watermark is embedded into a host image via a blockwise application of two-dimensional finite field cosine or Hartley transforms. Additionally, the considered finit...

Integro-differential polynomial and trigonometrical splines and quadrature formulae

This work is one of many that are devoted to the further investigation of local interpolating polynomial splines of the fifth order approximation. Here, new polynomial and trigonometrical basic splines are presented. The main features of these splines are the following; the approximation is constructed separately for each grid interval (or elementary rectangular), the approximation constructed ...

Mucosal disease series. Number VI. Recurrent aphthous stomatitis.

Recurrent aphthous stomatitis (RAS; aphthae; canker sores) is a common condition which is characterized by multiple recurrent small, round or ovoid ulcers with circumscribed margins, erythematous haloes, and yellow or grey floors typically presenting first in childhood or adolescence. RAS occurs worldwide although it appears most common in the developed world. The aetiology of RAS is not entire...