Maths and Roses

Free groups and roses

Consider the 2n symbols x1, . . . , xn, x−1 1 , . . . , x −1 n . Collect these into a set G. There is a map from G to itself which interchanges xi and x−1 i . This map is denoted by the usual inversion symbol g 7→ g−1. Thus x−1 i is unambiguous and (x −1 i ) −1 = xi. The empty word will be denoted by 1. A word is defined to be a finite ordered list of elements of G, depicted as exemplified by x...

Interactive Maths with GeoGebra

Paper brings information on dynamic multiplatform mathematical software GeoGebra produced by Markus Hohenwarter in 2002 for learning and teaching mathematics, available free on web in 45 languages. GeoGebra enables production of self-standing dynamic worksheets as interactive java applets embedded in html pages presenting dynamic constructions and interactive calculations on Internet Thus it is...

Maths for Plants and Plants for Maths. Mathematics applied to Agronomy and Crop Protection

Sarajevo Roses and Commemorative Plaques

The maths of memory

Mathematical modeling reveals that long-term immunological memory is maintained in a manner that is even more dynamic than previously thought.