François DUMONT, La Poésie québécoise

Restricted 132-Dumont permutations

A permutation π is said to be a Dumont permutation of the first kind if each even integer in π must be followed by a smaller integer, and each odd integer is either followed by a larger integer or is the last element of π (see, for example, www.theory.csc.uvic.ca/∼cos/inf/perm/Genocchi Info.html). In Duke Math. J. 41 (1974), 305–318, Dumont showed that certain classes of permutations on n lette...

Restricted Dumont permutations

We analyze the structure and enumerate Dumont permutations of the first and second kinds avoiding certain patterns or sets of patterns of length 3 and 4. Some cardinalities are given by Catalan numbers, powers of 2, little Schröder numbers, and other known or related sequences.

Relation entre la mastication et la qualité de l'alimentation des aînés de l'Étude longitudinale québécoise sur la nutrition et le vieillissement (NuAge).

The objective of this study was to assess the relationship between the quality of mastication and dietary intake among community-dwelling older adults (67-84 years). A secondary analysis of data collected upon entry of participants in the NuAge study was effected. Perceived masticatory efficiency (n=1793) was measured using a questionnaire inspired by the Oral Health Impact Profile. Direct asse...

19 April 2013 − − François

Assignment 3 François Séguin

Question 1 First, we have that λ − λ − 2 = (λ + 1)(λ − 2). Therefore, it is true that the eigenvalues of the corresponding adjacency matrix come in pairs of additive inverse. However, notice that ± √ −1 are eigenvalues, and therefore the associated matrix cannot be symmetric (there would only be real eigenvalues). We conclude that no undirected graph can have the above characteristic polynomial...