By A. D. Bruno

The geometry of energy exponents comprises the Newton polyhedron, common cones of its faces, energy and logarithmic ameliorations. at the foundation of the geometry common algorithms for simplifications of structures of nonlinear equations (algebraic, usual differential and partial differential) have been built.
The algorithms shape a brand new calculus which permits to make neighborhood and asymptotical research of recommendations to these platforms.
The potency of the calculus is confirmed in regards to numerous advanced difficulties from Robotics, Celestial Mechanics, Hydrodynamics and Thermodynamics. The calculus additionally provides classical effects got past intuitively and is an alternative choice to Algebraic Geometry, Differential Algebra, Lie crew research and Nonstandard Analysis.

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