Answer to Prof. Störmer's Remark.

Alfred P . Sloan School of Management Topological Semivector Spaces ; Convexity and Fixed Point Theory

for short-circuiting some early fallacious conjectures. We are indebted to Prof. M. P. Schutzenberger (U. Paris) for a remark which compelled us to seek and formulate the notion of a "left skew semifield" [Prakash & Sertel, 1972] as the general sort of object over which to define semivector spaces. To Prof. T. Bowman (U. Florida) we are grateful for pointing out an error in an earlier draft of ...

A Remark on a Remark by Macaulay or Enhancing Lazard Structural Theorem

Globalization and Traceability of Agricultural Production: The Role of Mechanization

The topic evolved from the belief that the new trend on traceability of products is related also to an appropriate mechanization and that each machine has to answer to the quality requirements of food needed by the market (Prof. Giuseppe Pellizzi, personal communication, 2002). In this paper, we address the topic of traceability in agriculture and what traceability means to the future of agricu...

Foreword from the Editors

This issue of the Journal of Symbolic Computation collects selected papers on work presented at, or related to, the meeting MEGA 2005, held in Porto Conte, Alghero, Sardinia (Italy), May 27 June 1, 2005. MEGA is the acronym for “Effective Methods in Algebraic Geometry” (and its equivalent in Italian, French, Spanish, German, Russian, etc.), a series of (roughly) biennial conferences on computin...

A Remark on Two Duality Relations

We remark that an easy combination of two known results yields a positive answer, up to log(n) terms, to a duality conjecture that goes back to Pietsch. In particular, we show that for any two symmetric convex bodies K,T in R, denoting by N(K,T ) the minimal number of translates of T needed to cover K, one has: N(K,T ) ≤ N(T ◦, (C log(n))K) log(n) log , where K◦, T ◦ are the polar bodies to K,T...