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pro vyhledávání: '"E. N. Mikhalkin"'
Autor:
A. P. Lyapin, E. N. Mikhalkin
Publikováno v:
Programming and Computer Software. 49:49-53
Publikováno v:
Doklady Mathematics. 102:279-282
Let Δn be the discriminant of a general polynomial of degree n and $$\mathcal{N}$$ be the Newton polytope of Δn. We give a geometric proof of the fact that the truncations of Δn to faces of $$\mathcal{N}$$ are equal to products of discriminants of
Autor:
E. N. Mikhalkin
Publikováno v:
Siberian Mathematical Journal. 56:330-338
We consider a general reduced algebraic equation of degree n with complex coefficients. The solution to this equation, a multifunction, is called a general algebraic function. In the coefficient space we consider the discriminant set ∇ of the equat
Autor:
A. K. Tsikh, E. N. Mikhalkin
Publikováno v:
Sbornik: Mathematics. 206:282-310
We consider an algebraic equation with variable complex coefficients. For the reduced discriminant set of such an equation we obtain parametrizations of the singular strata corresponding to the existence of roots of multiplicity at least j. These par
Autor:
E. N. Mikhalkin
Publikováno v:
Russian Mathematics. 53:15-23
In this paper we establish a relationship between two approaches to the solution of algebraic fifth-degree equations, namely, the Hermite-Kronecker method (based on the modular elliptic equation) and the Mellin method (based on hypergeometric series)
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9784431557432
An amoeba of an analytic set is the real part of its image in a logarithmic scale. Among all hypersurfaces A-discriminantal sets have the most simple amoebas. We prove that any singular cuspidal stratum of the classical discriminant can be transforme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::416a810d7e9910a1c3bed0c1a484b9fb
https://doi.org/10.1007/978-4-431-55744-9_19
https://doi.org/10.1007/978-4-431-55744-9_19
Autor:
E. N. Mikhalkin
Publikováno v:
Siberian Mathematical Journal. 47:301-306
We obtain an integral formula for a solution to a general algebraic equation. In this formula the integrand is an elementary function and integration is carried out over an interval. The advantage of this formula over the well-known Mellin formula is