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The Catalan numbers are a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects. They are named after Eugène Catalan, though they were previously discovered in the 1730s by Minggatu. The n-th Catalan number can be expressed directly in terms of the central binomial coefficients by
The first edition of the new dictionary, the Dictionary of the Institute of Catalan Studies, was finished in December 1994 and published in September 1995. [4] Shortly afterwards there were two reprints, which added, modified and removed a number of words.
This is a list of dictionaries considered authoritative or complete by approximate number of total words, or headwords, included. number of words in a language. [1] [2] In compiling a dictionary, a lexicographer decides whether the evidence of use is sufficient to justify an entry in the dictionary. This decision is not the same as determining ...
Fabra had published a spelling dictionary (Diccionari ortogràfic) in 1917 based on the official orthographic rules (Normes ortogràfiques), in addition to other works aiming to codify the Catalan language. Fabra created the dictionary during Primo de Rivera's dictatorship (1923–1930). The work was initially published as installments in 1931.
The Great Catalan Encyclopedia volumes, the Catalan Language Dictionary and the Multilingual Dictionary. The Gran Enciclopèdia Catalana (English: the Great Catalan Encyclopedia) is a Catalan-language encyclopedia, started in fascicles, and published in 1968 by Edicions 62 [].
The Societat Catalana de Terminologia (Catalan Terminology Society – SCATERM) is a subsidiary society of the Institut d'Estudis Catalans (Institute for Catalan Studies – IEC) which is attached to the latter's Philological Section and brings together all the organisations and professionals involved in Catalan terminology and disseminates terminological activities carried out in Catalan ...
Substituting k = 1 into this formula gives the Catalan numbers and substituting k = 2 into this formula gives the Schröder–Hipparchus numbers. [7] In connection with the property of Schröder–Hipparchus numbers of counting faces of an associahedron, the number of vertices of the associahedron is given by the Catalan numbers.
Mathematical concepts named after mathematician Eugène Catalan: Catalan numbers, a sequence of natural numbers that occur in various counting problems; Catalan solids, a family of polyhedra; Catalan's constant, a number that occurs in estimates in combinatorics; Catalan's conjecture