Escaping the Trap of too Precise Topic Queries

At the very center of digital mathematics libraries lie controlled vocabularies which qualify the {\it topic} of the documents. These topics are used when submitting a document to a digital mathematics library and to perform searches in a library. The latter are refined by the use of these topics as they allow a precise classification of the mathematics area this document addresses. However, there is a major risk that users employ too precise topics to specify their queries: they may be employing a topic that is only "close-by" but missing to match the right resource. We call this the {\it topic trap}. Indeed, since 2009, this issue has appeared frequently on the i2geo.net platform. Other mathematics portals experience the same phenomenon. An approach to solve this issue is to introduce tolerance in the way queries are understood by the user. In particular, the approach of including fuzzy matches but this introduces noise which may prevent the user of understanding the function of the search engine. In this paper, we propose a way to escape the topic trap by employing the navigation between related topics and the count of search results for each topic. This supports the user in that search for close-by topics is a click away from a previous search. This approach was realized with the i2geo search engine and is described in detail where the relation of being {\it related} is computed by employing textual analysis of the definitions of the concepts fetched from the Wikipedia encyclopedia.Comment: 12 pages, Conference on Intelligent Computer Mathematics 2013 Bath, U

Japanese School Incident at San Francisco from the Point of View of International and Constitutional Law

The act of the Board of Education of San Francisco in assigning to Japanese pupils separate school buildings, has been the occasion of a diplomatic incident which, although insignificant in itself, may lead to far reaching consequences both in regard to the internal affairs and the external relations of the country. It is neither the first, nor will it probably be the last sign, of the struggle for equality of the yellow with the white man, which may subsequently be emphasized in a more tangible, if not abrupt manner, resulting in a clash between the two races: the one, trying to insure the equality, the other, striving to maintain the supremacy

Mixing and equilibration: Protagonists in the scene of nonextensive statistical mechanics

After a brief review of the present status of nonextensive statistical mechanics, we present a conjectural scenario where mixing (characterized by the entropic index $q_{mix} \le 1$) and equilibration (characterized by the entropic index $q_{eq} \ge 1$) play central and inter-related roles, and appear to determine {\it a priori} the values of the relevant indices of the formalism. Boltzmann-Gibbs statistical mechanics is recovered as the $q_{mix}=q_{eq}=1$ particular case.Comment: LaTeX-RevTeX, 28 pages, 7 eps figures, contributed paper to the Proceedings of the International School and Workshop on Nonextensive Thermodynamics and Physical Applications, NEXT 2001, 23-30 May 2001, Cagliari (Italy) (Physica A