Titlebook: Discriminants, Resultants, and Multidimensional Determinants; Israel M. Gelfand,Mikhail M. Kapranov,Andrei V. Ze Book 1994 Springer Scienc

Rejuvenate

Circular Economy and Production Systems . ⊂ ... We now want to move into a more combinatorial setting, which is closer to the classical concept of discriminants and resultants for .. This setting corresponds to the situation when . ⊂ .. is a toric variety. In the present chapter, we have adapted the theory of toric varieties for our purp

HARD

贞洁

Sustainable Cities and Communitiesriminant Δ.. In the most important case when the toric variety .. is smooth, we have.where the product is taken over all the faces of the polytope . = Conv (.) (Theorem 1.2 Chapter 10). Since (in the case when .. is smooth) a similar equality holds for each .., we have a system of equalities relatin

斑驳

indignant

Roberta Capello,Peter Nijkamp,Gerard Peppingere were some attempts toward a rather straightforward definition of the “hyperdeterminant” for “hypercubic” matrices using alternating summations over the product of several symmetric groups (see e.g., [P], §54 and references therein). Here we systematically develop another approach under which the

惰性气体

Discriminants, Resultants, and Multidimensional Determinants978-0-8176-4771-1Series ISSN 2197-1803 Series E-ISSN 2197-1811

Wallow

Lars Moratis,Frans Melissen,Samuel O. Idowu∈ C, which are not all equal to 0 and are regarded modulo simultaneous multiplication by a non-zero number. More generally, if . is a finite-dimensional complex vector space, then we denote by .(.) the projectivization of ., i.e., the set of 1-dimensional vector subspaces in .. Thus .. = .(C.).

Respond

拍下盗公款

https://doi.org/10.1007/978-981-19-7264-5ertain class of polytopes, called ., whose vertices correspond to certain triangulations of a given convex polytope. These polytopes will play a crucial role later in the study of the Newton polytopes of discriminants and resultants. The constructions in this chapter are quite elementary.

FUME

Charles Spooner,Nigel L. WilliamsIn this book we study discriminants and resultants of polynomials in several variables. The most familiar example is the discriminant of a quadratic polynomial .(.) = .. + . + ..