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Classification Of The Equations Of The Second Order Surfaces In Space 4 R . Non Degenerated Case by L.p. Mironenko

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1Classification Of The Equations Of The Second Order Surfaces In Space 4 R . Non-Degenerated Case

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In the paper, the matrix method for classification of the second order surfaces in space 4 R is developed. This method is based on the analysis of the 5-th order symmetrical quadratic matrix. The matrix is built with three coefficients of the quadratic form of four variables. Such matrix produces 25 monomial 5-th order matrices. These matrices give 14 simplest equations of elliptic, hyperbolic and parabolic types of surfaces.

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  • Title: ➤  Classification Of The Equations Of The Second Order Surfaces In Space 4 R . Non-Degenerated Case
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  • Language: rus

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