A Geometric Proof of Hermite’s Theorem in Function Fields

The roots f 1 , f 2 of the derivative polynomial are situated in the interior of the triangle abc and they have an interesting geometric property: f 1 and f 2 are the focal points

that a linear version of Vosper’s theorem holds when the base field K is finite, and for a number of other base fields, but not for every field K, even if it is assumed to

The main purpose of this paper is to prove a generalization (Theorem 1.2) of this second Puiseux type part of van der Hoeven’s result (and so, of the other cited results) to the

one or several variables with real coefficients. Our main result states that over these fields K every symmetric matrix can be orthogonally diagonalized. We shall

A similar Poincar´e inequality is established in a more general setting in Ambrosio [1], which develops a general theory of functions of bounded variation taking values in a

suitable terms of the formal expansion, instead it is a posteriori shown that the convergent series thus obtained is still solution of the original problem..

Assume tha,t a concrete ca.tegory (A, U) is a small-based category with enough implicit operations. This is a consequence of the fact that the class of 7~-algebras

In this paper, we present a new proof of the celebrated theorem of Kellerer, stating that every integrable process, which increases in the convex order, has the same