Perspex machine XI: topology of the transreal numbers

The transreal numbers are a total number system in which even, arithmetical operation is well defined even-where. This has many benefits over the real numbers as a basis for computation and, possibly, for physical theories. We define the topology of the transreal numbers and show that it gives a more coherent interpretation of two's complement arithmetic than the conventional integer model. Trans-two's-complement arithmetic handles the infinities and 0/0 more coherently, and with very much less circuitry, than floating-point arithmetic. This reduction in circuitry is especially beneficial in parallel computers, such as the Perspex machine, and the increase in functionality makes Digital Signal Processing chips better suited to general computation.

Do Different Models of Integration Affect Actual Integration? The Cases of France and Great Britain Revisited

Britain and France adapted two different integration models, namely assimilationist and multiculturalism to integrate their immigrants. These two big models of integration have distinctive characteristics to integrate immigrants. There is a general claim that multiculturalism model is the best for integrating immigrants in terms of actual integration, however, some argue the opposite, that French assimilationist model is ‘better off.’ This study examines these controversial claims by looking at the level to which immigrants are integrated in economic, social, political, cultural dimensions of integration and attitudes towards immigrants in Britain and France. Within a given theoretical framework, this study compares the overall competency level of immigrants’ integration in terms of actual integration between British multiculturalism model and French assimilationist model and validate that both these two big models of integration have reached a comparable level of integration and they do not have any decisive impact on actual integration.

Note by the Secretariat (Request by the Ministry of Foreign Affairs of France, on behalf of the Regional Council of Martinique for admission as an associate member of ECLAC)

Spanish version available

Shulamit an Ancient Love-Drama. Known as the "Song of Songs," and attributed to Solomon, King of Israel

Gershon Katz

Fritta Brod, Rollenbild, in: Rabindranath Tagore: The King of the dark chamber

Signatur des Originals: S 36/F03237