The definition of the structure and kinematics of the South-Pyrenean Frontal thrust, to the west of its westernmost outcrop in the External Sierras is the goal of this work. The methodology used is based on the construction and restoration of three balanced cross-sections. In addition to that, paleomagnetic analyses are applied to unravel possible vertical axis rotations linked to thrust kinema...

We present the results of the experiment of bootstrapping a Treebank for Catalan by using a Dependency Parser trained with Spanish sentences. In order to save time and cost, our approach was to profit from the typological similarities between Catalan and Spanish to create a first Catalan data set quickly by (i) automatically annotating with a delexicalized Spanish parser, (ii) manually correcti...

This work evaluates the effect of high temperatures and cooling methods on drillability Prada limestone. Samples from boreholes drilled during design stage Tres Ponts Tunnel in Catalan south Pyrenean zone (Spain) were subjected to 105, 200, 300, 400, 600 °C, then cooled at a slow rate or by quenching. Sievers’ J-value (SJ) brittleness (S20) determined thermally treated samples, drilling index (...

In the paper, the authors express the Fuss–Catalan numbers as several forms in terms of the Catalan–Qi function, find some analytic properties, including the monotonicity, logarithmic convexity, complete monotonicity, and minimality, of the Fuss–Catalan numbers, and derive a double inequality for bounding the Fuss–Catalan numbers.

Let Σ be a surface whose boundary consists of a set of disjoint simple closed curves. A Catalan triangulation of Σ is a triangulation of Σ such that all vertices are on the boundary. An edge in a Catalan triangulation is called separating if the removal of its end vertices disconnects the triangulation. The number of Catalan triangulations of a disk is given by the well-known Catalan numbers. C...

The Catalan monoid and partial Catalan monoid of a directed graph are introduced. Also introduced is the notion of a local endomorphism of a tree, and it is shown that the Catalan (resp. partial Catalan) monoid of a tree is simply its monoid of extensive local endomorphisms (resp. partial endomorphisms) of nite shift. The main results of this paper are presentations for the Cata-lan and partial...

Here presented a generalization of Catalan numbers and Catalan triangles associated with two parameters based on the sequence characterization of Bell-type Riordan arrays. Among the generalized Catalan numbers, a class of large generalized Catalan numbers and a class of small generalized Catalan numbers are defined, which can be considered as an extension of large Schröder numbers and small Sch...

We introduce Fuß–Catalan complexes as d-dimensional generalisations of triangulations of a convex polygon. These complexes are used to refine Catalan numbers and Fuß–Catalan numbers, by introducing colour statistics for triangulations and Fuß–Catalan complexes. Our refinements consist in showing that the number of triangulations, respectively of Fuß–Catalan complexes, with a given colour distri...

There are many representations of the Catalan numbers. In this article, we will examine the ballot problem and extend it beyond the standard p-Catalan extension to a left weighted extension. This extension reduces naturally to the p-Catalan numbers (including the standard 2-Catalan numbers). We will then give a variety of examples of the extension for other representations of the Catalan number...

Smoke from domestic wood burning has been identified as a major contributor to air pollution, motivating detailed emission measurements under controlled conditions. A series of experiments was performed to characterise the emissions from wood combustion in a fireplace and in a woodstove of two common species of trees grown in Spain: Pyrenean oak (Quercus pyrenaica) and black poplar (Populus nig...