Let F4 be the root system associated with the 24-cell, and let M(F4) be the simple linear dependence matroid corresponding to this root system. We determine the automorphism group of this matroid and compare it to the Coxeter group W for the root system. We find non-geometric automorphisms that preserve the matroid but not the root system.

A suspension of cortical tissue fragments prepared by collagenase digestion of renal cortex obtained from fed and chronically acidotic (NH4Cl) rats was separated into four bands on a Percoll density gradient. By microscopic examination, vital staining with trypan blue, and histologic staining technique (periodic acid-Schiff) the F4 band was shown to contain only (greater than 98%) proximal tubu...

AIMS Experimental autoimmune myocarditis (EAM) model mirrors important mechanisms of inflammatory dilated cardiomyopathy (iDCM). In EAM, inflammatory CD133(+) progenitors are a major cellular source of cardiac myofibroblasts in the post-inflammatory myocardium. We hypothesized that exogenous delivery of macrophage-colony-stimulating factor (M-CSF) can stimulate macrophage lineage differentiatio...

This report gives pseudocode for an implementation the F5 algorithm, noting errors found both in Faugère's seminal 2002 paper and Stegers' 2006 undergraduate thesis. It also outlines a relatively easy optimization that, in our experience, produces a substiantial improvement to the algorithm's e ciency.

The F5 algorithm is presented by Faugère in 2002. However, Faugère have not provide the rigorous proofs so far. In this paper, we will give a new complete proof and hence reveal the essence of this algorithm. The proof consists of the correctness and termination of the algorithm and the correctness of two criteria in it.

We consider three modifications of our involutive algorithm for computing Janet bases. These modifications are related to degree compatible monomial orders and specify selection strategies for non-multiplicative prolongations. By using the standard data base of polynomial benchmarks for Gröbner bases software we compare the modifications and confront them with Magma that implements Faugère’s F4...

abstract background: understanding the electrophysiological effects of toxins, may facilitate new drugs discovery. buthotusschach (bs) has been shown to be one of the most dangerous scorpions in tropical part of iran. present study was aimed to investigate the electrophysiological effects of two active fractions (f4 and f6) isolated from bs scorpion toxin on action potential (ap) characteristic...