L’objectiu de l’obra Catalan Sociolinguistics. State of the Art and Future Challenges és donar compte, manera sumària, dels grans vèrtexs en què s’ha manifestat l’estudi la relació entre llengua i societat comunitat lingüística catalana, recepció que fet plantejaments internacionals l’adaptació domèstica.Cada tradició sociolingüística ha interpretat interacció esmentada amb específics. La per e...

We define the notion of a Catalan pair (which is a pair of binary relations (S,R) satisfying certain axioms) with the aim of giving a common language to most of the combinatorial interpretations of Catalan numbers. We show, in particular, that the second component R uniquely determines the pair, and we give a characterization of R in terms of forbidden configurations. We also propose some gener...

The Spanish island of Majorca presents a complex case of multilingualism with clashing identities linked to the presence of both Catalan and Spanish on the island. Both sociopolitical and demographic factors have played an important role in shaping the sociolinguistic reality in Majorca; the end of the Franco dictatorship in 1975 allowed the use of Catalan in public life, so both standard and r...

Temperature and cooling methods strongly affect the stability of tunnels drilled in rock masses so condition interventions for fire emergencies. Samples from two horizontal boreholes Prada limestone during design stage Tres Ponts Tunnel Catalan south Pyrenean zone (Spain) are heated 105 to 600 °C, subsequently cooled with air or water simulate extinguishing interventions. Changes chemical compo...

In our previous works “Pfaffian decomposition and a Pfaffian analogue of q-Catalan Hankel determinants” (by M.Ishikawa, H. Tagawa and J. Zeng, J. Combin. Theory Ser. A, 120, 2013, 1263–1284) we have proposed several ways to evaluate certain Catalan-Hankel Pffafians and also formulated several conjectures. In this work we propose a new approach to compute these Catalan-Hankel Pffafians using Sel...

1 : This paper reproves a few results concerning paperfolding sequences using properties of Catalan numbers modulo 2. The guiding principle can be described by: Paperfolding = Catalan modulo 2 + signs given by 2−automatic sequences.

Received 4 March 2005 Authors were partially supported by Spanish grant DGESIC BFM2001-3329 and Catalan grant 2001SGR-00017. The second author was also supported by Catalan grant 2001FI 64 RAMON JANSANA, ALESSANDRA PALMIGIANO

A generalization of the Catalan numbers is considered. New results include binomial identities, recursive relations and a close formula for the multivariate generating function. A simple expression for the Catalan determinant is derived.