We review some results concerning the properties of static, spherically symmetric solutions of multidimensional theories of gravity: various scalar-tensor theories and a generalized string-motivated model with multiple scalar fields and fields of antisymmetric forms associated with p-branes. A Kaluza-Klein type framework is used: there is no dependence on internal coordinates but multiple inter...

In this paper we will look at the connection of frames and finite dimensionality. We develop algorithms, which are avaiable online. The main result is a way to ’switch’ between different frames, giving an algorithm to calculate the coefficients of one frame given the analysis of another frame using their cros-Gramm matrix. This is a canonical extension of the basic transformation matrix used fo...

Classically, a Tychonoff space is called strongly 0-dimensional if its Stone-Čech compactification is 0-dimensional, and given the familiar relationship between spaces and frames it is then natural to call a completely regular frame strongly 0-dimensional if its compact completely regular coreflection is 0-dimensional (meaning: is generated by its complemented elements). Indeed, it is then seen...

The paper presents a simple yet robust measure of image quality in terms of global (camera) blur. It is based on histogram computation of non-zero DCT coe cients. The technique is directly applicable to images and video frames in compressed (MPEG or JPEG) domain and to all types of MPEG frames (I-, Por Bframes). The resulting quality measure is proved to be in concordance with subjective testin...