Power Geometry in Algebraic and Differential Equations License:perpetual Pattern recognition is a scientific

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Power Geometry in Algebraic and Differential Equations License:perpetual Pattern recognition is a scientificThe geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the geometry universal algorithms for simplifications of systems of nonlinear equations (algebraic, ordinary differential and partial differential) were developed. The algorithms form a new calculus which allows to make local and asymptotical analysis of solutions to those systems. The efficiency of the