Addendum to “Structure of hereditary orders”

Structure of Gröbner bases with respect to block orders

In this paper we study the structure of Gröbner bases with respect to block orders. We extend Lazard’s theorem and the Gianni-Kalkbrenner theorem to the case of a zero-dimensional ideal whose trace in the ring generated by the first block of variables is radical. We then show that they do not hold for general zero-dimensional ideals.

Addendum to Summary of AMP

This document corroborates the AMP protocols by making some minor modification to the previous work. So the final versions of AMP are described for November 2003 discussion by the IEEE P1363 Standard Working Group. The contribution includes AMP and TP-AMP protocols.

The structure of orders in the . . .

The structure of orders in the pushdown hierarchy Les structures d'ordre dans la hiérarchiè a pile Spécialité informatiqué Ecole doctorale MSTIC Soutenue publiquement par Laurent Braud le 10 décembre 2010

relating structure functions of all orders Reginald

The hierarchy of exact equations is given that relates two-spatial-point velocity structure functions of arbitrary order with other statistics. Because no assumption is used, the exact statistical equations can apply to any flow for which the Navier-Stokes equations are accurate, and they apply no matter how small the number of samples in the ensemble. The exact statistical equations can be use...

Extending Partial Orders to Dense Linear Orders