Scaled-oscillation and regularity

Vanishing Mean Oscillation and Regularity in the Calculus of Variations

Structure of cell networks critically determines oscillation regularity.

Biological rhythms are generated by pacemaker organs, such as the heart pacemaker organ (the sinoatrial node) and the master clock of the circadian rhythms (the suprachiasmatic nucleus), which are composed of a network of autonomously oscillatory cells. Such biological rhythms have notable periodicity despite the internal and external noise present in each cell. Previous experimental studies in...

Strong Topological Regularity and Weak Regularity of Banach Algebras

In this article we study two different generalizations of von Neumann regularity, namely strong topological regularity and weak regularity, in the Banach algebra context. We show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. Then we consider strong topological regularity of certain concrete algebras. Moreover we obtain ...

Multi-frame packet reservation multiple access using oscillation-scaled histogram-based Markov modelling of video codecs

Amodel is proposed for replacing the video codec in networking studies which is tested for sources with a mean bitrate in the range of Kb s to Mb s The standard frame sizes investigated are the In ternational Telecommunications Union s ITU x pixel Common Intermediate Format CIF x pixel Quarter CIF QCIF x pixel CIF and x pixel Sub QCIF SQCIF The proposed state oscillation scaled Markov model was...

Nanometric-Scaled Emulsions (Nanoemulsions)

Nanotechnology, shortened to nanotech, is the study of the controlling of matter on an atomic and molecular scale. Generally, nanotechnology deals with structures sized between 1 to 100 nanometer in at least one dimension and involves developing materials or devices within that size. The use of nanotechnology in the field of pharmaceutics and drug delivery has grown over the last few years, so ...