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In this book we are dealing with circuits DC, supplemented by Dennis Transformers, invertible elements, etc... It is shown that such circuits can be used as physical models of certain problems: linear and non-linear equations systems solution, convex programming problems. We are discussing fast methods and algorithms for calculating such electrical circuits and hence solve these problems. Programs for solving such problems are provided in MATL...

In this book we formulate and prove the variational extremum principle for viscous incompressible and compressible fluid, from which principle follows that the Naviet-Stokes equations represent the extremum conditions of a certain functional. We describe the method of seeking solution for these equations, which consists in moving along the gradient to this functional extremum. We formulate the conditions of reaching this extremum, which are at...

The experiments with Tesla transformer are reviewed. It is shown that the existence of electric standing wave in the vicinity of the transformer follows directly from the Maxwell's equations. Further it is shown that the existence and propagation of the electric standing wave may be explained by energy exchange between this wave and the air. Further a Tesla flat coil is considered. It is shown that directly from Maxwell equations there follow...

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The variational principle of extremum is stated and proved for electromechanical systems of arbitrary configuration wherein the electromagnetic, mechanical, thermal hydraulic and other processes are going on. It is shown that for such systems there exists a pair of functionals with a global saddle point. For systems without electric circuits the suggested principle is equivalent to the minimum action principle. The principle is generalized for...