In this paper it will be exactly proved both in the geometric algebra and tensor formalisms that the usual Maxwell equations with the three-dimensional (3D) vectors of the electric and magnetic fields, E and B respectively, are not, contrary to the general opinion, Lorentz covariant equations. Consequently they are not equivalent to the field equations with the observer independent quantities, ...

A Gross space is a vector space E of infinite dimension over some field F , which is endowed with a symmetric bilinear form Φ : E → F and has the property that every infinite dimensional subspace U ⊆ E satisfies dimU < dimE. Gross spaces over uncountable fields exist (in certain dimensions) (see [G/O]). The existence of a Gross space over countable or finite fields (in a fixed dimension not abo...

It has been recently proposed that the background independent open superstring field theory action is given by the disc partition function with all possible open string operators inserted at the boundary of the disc. We use this proposal to study tachyon condensation in the D0-D2 system. We evaluate the disc partition function for the D0-D2 system in presence of a large Neveu-Schwarz B-field us...

The most general model-independent analysis of the rare B decay, B → X s l + l − , is presented. There are ten independent local four-Fermi interactions which may contribute to this process. The branching ratio, the forward-backward asymmetry, and the double differential rate are written as functions of the Wilson coefficients of the ten operators. We also study the correlation between the bran...

In this paper, we present novel cylindrical cavity resonators accommodating spatially and temporally zero Poynting vector Beltrami standing waves with the parallel electric magnetic fields (E?H). We introduce special boundary conditions, i.e., longitudinal electromagnetic conductor (LEMC) on which components are enforced circumferential (CEMC) circumference in an axisymmetric waveguide system, ...

We investigate automatic classification of posts to Internet forums. We use collective classification methods, which simultaneously classify related objects — in our case, the posts in a thread. Specifically, we compare the Iterative Classification Algorithm (ICA) with Conditional Random Fields and with conventional classifiers (k-Nearest Neighbours and Support Vector Machines). The ICA algorit...

A framework for background independent open-string field theory is proposed. The approach involves using the BV formalism – in a way suggested by recent developments in closed-string field theory – to implicitly define a gauge invariant Lagrangian in a hypothetical “space of all open-string world-sheet theories.” It is built into the formalism that classical solutions of the string field theory...