Geometrical Interpretation of Electrodynamics: An Analysis

an infinite planar array of rectangular microstrip patch antenna analysis

the methods which are used to analyze microstrip antennas, are divited into three categories: empirical methods, semi-empirical methods and full-wave analysis. empirical and semi-empirical methods are generally based on some fundamental simplifying assumptions about quality of surface current distribution and substrate thickness. thses simplificatioms cause low accuracy in field evaluation. ful...

Geometrical Interpretation of Constrained Systems

The standard approach to classical dynamics is to form a Lagrangian which is a function of n generalized coordinates qi, n generalized velocities q̇i and parameter τ . The 2n variables qi, q̇i form the tangent bundle TQ. The passage from TQ to the cotangent bundle T ∗Q is achieved by introducing generalized momenta and a Hamiltonian. However, this procedure requires that the rank of Hessian matrix

An Analysis of Circulation of Decentralized Digital Money in Quantum Electrodynamics Space: the Econphysics Approach

The study aimed at showing how to create and release cryptocurrency, based on which one can introduce a new generation of this money that can continue its life in the quantum computers space and study whether cryptocurrency could be controlled or the rules should be rewritten in line with new technology. Regarding this, we showed the evolution of money and its uses in economic relations. Accord...

Geometrical interpretation of solutions of certain PDEs

In §1 the authors define the notion of harmonic map between two generalized Lagrange spaces. In §2 it is proved that for certain systems of differential or partial differential equations, the solutions belong to a class of harmonic maps between two generalized Lagrange spaces. §3 describes the main properties of the generalized Lagrange spaces constructed in §2. These spaces, being convenient r...

A geometrical interpretation of the inverse matrix