Narayana Number: Combinatorics, Mathematics, Enumerative Combinatorics, Algebraic Combinatorics, Extremal Combinatorics, Combinatorial Optimization, Graph Theory - Couverture souple

 
9786130333362: Narayana Number: Combinatorics, Mathematics, Enumerative Combinatorics, Algebraic Combinatorics, Extremal Combinatorics, Combinatorial Optimization, Graph Theory

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In combinatorics, the Narayana numbers N, form a triangle of natural numbers, called Narayana triangle, that occur in various counting problems. They are named for Narayana, a mathematician from India. The Narayana numbers can be expressed in terms of binomial coefficients. An example of a counting problem whose solution can be given in terms of the Narayana numbers N, is the number of expressions containing n pairs of parentheses which are correctly matched and which contain k distinct nestings. For instance, with four pairs of parentheses six sequences can be created which each contain two times the sub-pattern.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In combinatorics, the Narayana numbers N, form a triangle of natural numbers, called Narayana triangle, that occur in various counting problems. They are named for Narayana, a mathematician from India. The Narayana numbers can be expressed in terms of binomial coefficients. An example of a counting problem whose solution can be given in terms of the Narayana numbers N, is the number of expressions containing n pairs of parentheses which are correctly matched and which contain k distinct nestings. For instance, with four pairs of parentheses six sequences can be created which each contain two times the sub-pattern.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.