Reduction techniques of singular equivalences

Examples of Singular Reduction

The construction of the reduced space for a symplectic manifold with symmetry, as formalized by Marsden and Weinstein [13], has proved to be very useful in many areas of mathematics ranging from classical mechanics to algebraic geometry. In the ideal situation, which requires the value of the moment map to be weakly regular, the reduced space is again a symplectic manifold. A lot of work has be...

Singular Reduction for Proper Actions

Analysis and Comparison of PAPR Reduction Techniques in OFDM Systems

The destructive impact of fading environments and also bandwidth limitations are two main challenges which communication is dealing with them. These challenges can affect on the growth of wireless communication and even cause reliable communications and high data rate to be prevented. Thus, OFDM (Orthogonal Frequency Division Multiplexing) modulation by using of fast calculation hardwares such ...

Reduction of Singular Lagrangians of Higher-order

Given a singular non-autonomous Lagrangian of higher order we construct a reduced evolution space of the same order and a local regular Lagrangian on it which is gauge equivalent to the original one. The general geometrical framework used is the theory of almost stable tangent geometry of higher order introduced in 17]. We show that higher order almost stable manifols can be endowed with a loca...

Radiation Dose Reduction Techniques in the Workplace

The principal objective of radiation protec­tion is to ensure that the dose received by any individual does not exceed the applicable M.P.D. values.We will discuss in this paper the presents recommendations and technical information related to the design and installation of struc­tural shielding with taking into account the concept of Maximum Permissible Dose equi­valent (MPDl as expressed and ...