Let A be a noetherian local ring, and let C in PA be a family of curves, flat over A. We showed in an earlier paper how to associate to C a locally free sheaf N on PA, and we showed that two families of curves C,C′ are in the same biliaison class if and only if the corresponding sheaves N,N ′ are pseudoisomorphic (generalization of the theorem Rao). In this paper we show how to find all the fla...

In his celebrated Tutte l’Opere d’Architettura published over the period 1537–1575 Sebastiano Serlio introduced four techniques for constructing ovals which have thereafter been applied by many architects across Europe. Using various geometric forms (i.e. the triangle, square, and circle) as a basis they produced ovals made up from four circular arcs. This paper analyses both Serlio’s construct...

Abstract The Fairlie-Gumbel-Morgenstern (FGM) family has been investigated in detail for various continuous marginals such as Cauchy, normal, exponential, gamma, Weibull, lognormal and others. It has been a popular model for the bivariate distribution with mild dependence. However, bivariate FGM’s with continuous marginals on a bounded support discussed in the literature are only those with uni...

This paper gives an overview of promising new developments in robust stability and performance analysis of linear control systems with real parametric uncertainty. The goal is to develop a practical algorithm for medium size problems, where medium size means less than 100 real parameters, and \practical" means avoiding combinatoric (nonpolynomial) growth in computation with the number of parame...

1. Prefatory Remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. Several Perspectives on Transversal Matroids . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.1. Set systems, transversals, partial transversals, and Hall’s theorem . . . . . . . . 2 2.2. Transversal matroids via matrix encodings of set systems . . . . . ....

Abstract We give some adequate extension, in the framework of a general Lévy process, of our previous construction of processes with one-dimensional martingale marginals, done originally in the set-up of Brownian motion. The Lévy process framework allows us to streamline our previous arguments, as well as to reach a larger class of such processes, even in the Brownian case. We give some illustr...