منابع مشابه
Degrees of Real Wronski Maps
We study the map which sends vectors of polynomials into their Wronski determinants. This defines a projection map of a Grassmann variety which we call a Wronski map. Our main result is computation of degrees of the real Wronski maps. Connections with real algebraic geometry and control theory are described.
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Consider transportation of one distribution of mass onto another, chosen to optimize the total expected cost, where cost per unit mass transported from x to y is given by a smooth function c(x, y). If the source density f(x) is bounded away from zero and infinity in an open region U ′ ⊂ R, and the target density f−(y) is bounded away from zero and infinity on its support V ⊂ R, which is strongl...
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We give necessary and sufficient conditions in terms of sign vectors for the injectivity of families of polynomial maps with arbitrary real exponents defined on the positive orthant. Our work relates and extends existing injectivity conditions expressed in terms of Jacobian matrices and determinants. In the context of chemical reaction networks with power-law kinetics, our results can be used t...
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ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 2017
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-2017-001-0