Publication

Notations Around the World:Census and Exploitation

Paul Libbrecht

In: Serge Autexier, Jacques Calmet, David Delahaye, Patrick D.F. Ion, Laurence Rideau, Renaud Rioboo, Alan P. Sexton (editor). Intelligent Computer Mathematics. International Conference on Mathematical Knowledge Management (MKM-10) 9th located at Conference on Intelligent Computer Mathematics July 8-9 Paris France Pages 398-410 Lecture Notes in Artificial Intelligence (LNAI) 6167/2010 ISBN 3-652-14127-7 Springer Verlag 7/2010.

Abstract

Mathematical notations around the world are diverse. Not as much as requiring computing machines' makers to adapt to each culture, but as much as to disorient a person landing on a web-page with a text in mathematics. In order to understand better this diversity, we are building a census of notations: it should allow any content creator or mathematician to grasp which mathematical notation is used in which language and culture. The census is built collaboratively, collected in pages with a given semantic and presenting observations of the widespread notations being used in existing materials by a graphical extract. We contend that our approach should dissipate the fallacies found here and there about the notations in ``other cultures" so that a better understanding of the cultures can be realized. The exploitation of the census in the math-bridge project is also presented: this project aims at taking learners ``where they are in their math-knowledge" and bring them to a level ready to start engineering studies. The census serves as definitive reference for the transformation elements that generate the rendering of formulae in web-browsers.

Libbrecht-Notation-Census.pdf (pdf, 537 KB)

German Research Center for Artificial Intelligence
Deutsches Forschungszentrum für Künstliche Intelligenz