Translational invariance requires that physical predictions are independent of the choice of spatial coordinate system used. The time dilatation effect of special relativity is shown to manifestly respect this invariance. Consideration of the space-time Lorentz transformation with arbitary spatial coordinates shows that the spurious 'length contraction' and 'relativity of simultaneity' effects ...

This paper may be regarded as a new numerical method for the analysis of triangular thin plates using the natural area coordinates. Previous studies on the solution of triangular plates with different boundary conditions are mostly based on the Rayleigh-Ritz principle which is performed in the Cartesian coordinates. Consequently, manipulation of the geometry and numerical calculation of the int...

The geometry of curved Clifford space (C-space) is investigated. It is shown that the curvature in C-space contains higher orders of the curvature in the underlying ordinary space. A C-space is parametrized not only by 1-vector coordinates x µ but also by the 2-vector coordinates σ since they describe the holographic projections of 1-lines, 2-loops, 3-loops, etc., onto the coordinate planes. It...

We propose a possible answer to one of the most exciting open questions in physics and cosmology, that is the question why we seem to experience four-dimensional space-time with three ordinary and one time dimensions. Making assumptions (such as particles being in first approximation massless) about the equations of motion, we argue for restrictions on the number of space and time dimensions. (...

We propose a decentralized space–time multiuser detection scheme based on the notion of canonical space–time coordinates (CSTCs) for representing the received signal. The CSTC representation provides a natural framework for decentralized multi-access interference (MAI) suppression in lower dimensional subspaces that results in complexity reduction relative to existing chip rate filtering scheme...

the main objective of this paper is to argue how the mobile phones have transformed the iranian lifestyle and how the arrival of mobiles has been a catalyst for revolting behavior, and has launched a new consumer behavior and has changed our relationships. the paper explains how the people's behavior has developed a whole new social code in iran. it is argued that the social value of being able...

Periods of parallel exterior forms define natural coordinates on the deformation space of complete affine structures on the two-torus. These coordinates define a differentiable structure on this deformation space, under which it is diffeomorphic to R2. The action of the mapping class group of T 2 is equivalent in these coordinates with the standard linear action of SL(2, Z) on R2.

The super-twisting algorithm (STA) has become the prototype of second-order sliding mode algorithm. It achieves finite time convergence by means of a continuous action, without using information about derivatives of the sliding constraint. Thus, chattering associated to traditional sliding-mode observers and controllers is reduced. The stability and finite-time convergence analysis have been jo...

A method of measuring time intervals by a single observer proposed by Crowell[3] is extended to the more general case when the events separated by the time interval take place at two points characterized by the same y=y' space coordinates. We show that time dilation and time contraction can take place or even an inversion in the time succession can be detected.