Discriminant Models of Uncertainty in Nominal Fields

Discriminant Models of Uncertainty in Nominal Fields

Despite developments in error modeling in discrete objects and continuous fields, there exist substantial and largely unsolved conceptual problems in the domain of nominal fields. This article explores a novel strategy for uncertainty characterization in spatial categorical information. The proposed strategy is based on discriminant space, which is defined with essential properties or driving p...

Septic fields with discriminant +- 2a3b

Septic Fields with Discriminant ±23

We classify septic number fields which are unramified outside of {∞, 2, 3} by a targeted Hunter search; there are exactly 10 such fields, all with Galois group S7. We also describe separate computations which strongly suggest that none of these fields come from specializing septic genus zero three-

Exports versus Multinational Production under Nominal Uncertainty

This paper examines how nominal uncertainty affects the choice firms face to serve a foreign market through exports or to produce abroad as a multinational. I develop a two-country, stochastic general equilibrium model in which firms make production and pricing decisions in advance, and I consider its implications for the relative attractiveness of exporting and multinational production. I find...

Models of Discriminant Surfaces

The illustration shown here appears in the master’s thesis of Mary Emily Sinclair (1878–1955). Her thesis, supervised by Oscar Bolza at the University of Chicago in 1903, deals with quintic polynomials p(t) = t + xt + yt + z. Every (real) triple (x, y, z) yields such a polynomial, and Sinclair describes the sets of all (x, y, z) such that the corresponding polynomial has a given number of real ...