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Results for criterions: Topic: Discrete Mathematics Modify search criterions Results n° 1 to 8 of 44 matches Page 1 . 2 . 3 . 4 . 5 . 6 . >> Next page Title Maximum of the transfer distance to a given partition Author CHARON Irène, HUDRY Olivier, DENOEUD-BELGACEM Lucile Keywords Distance, Partitions, Transferts Topics Classification - Clustering - Partitioning, Combinatorics, Discrete Mathematics, Distances Abstract In this paper, we study a distance defined over the partitions of a finite set. Given two partitions P and Q, this distance, called the transfer distance, is defined as the minimum number of transfers of an element from one class to another, required to transform P into Q or equivalently Q in P. We give some formulae for the maximum distance value between a given partition and any partition, then the maximum distance value between a given partition and a partition with an upper-bounded number of classes. Number 179, Fall 2007 Language   French Read the article Title Orally transmitted mathematics Author CHEMILLIER Marc Keywords Asymmetric rhythms, Cognition, Divination, Ethnomathematics, Musical canon, Sand drawing Topics Anthropology - Ethnology, Discrete Mathematics, Drawing, Music Abstract Ethnomathematics is a new domain studying mathematical structures in particular activities of traditional societies. The main difficulty in this approach is to establish a link between formal structures, studied « in laboratory », and mental representations of native people, as they can be observed during fieldworks. We describe these difficulties in different situations: visual arts, music, divination. In the latter case, we present the results of fieldworks done in Madagascar where mathematical mental representations of native people have been discovered Number 178, Summer 2007, special issue: Art, mathematics, language and emotion Language   French Read the article Title Invariant relations in a finite domain Author BURIGANA Luigi Keywords Boolean operation, Galois connection, Invariance, Lattice, Relation, Semigroup Topics Algebra, Discrete Mathematics, Orders and preorders Abstract Some results of an abstract inquiry into the concept of invariance are presented. The objects to be judged in their possible invariance are relations of arbitrary degrees in one single domain, when they are represented as sets of strings of elements in that domain. The domain itself is presumed to be a finite size, and the transformations with respect to which invariance is judged are injective functions between parts of it. The study focuses on correspondences between algebraic structures of possible relations and algebraic structures of possible transformations, as they are dually interrelated through the invariance condition. Number 169, Spring 2005 Language  English Read the article Title Quasi-sets and approximations of r-ordered partitions Author SERFATI Michel Keywords None Topics Approximation, Classification - Clustering - Partitioning, Discrete Mathematics, Distances, Lattices, Orders and preorders Abstract From a mathematical viewpoint, the theory of r-ordered repartitions deals with some extension of the concept of "power set", by the mean of a complete distributive lattice. As to interpretaiton, one may consider each r-repartition as the exhaustive distribution of some character (or quality) to all the elements of some set ü, according to r viewpoints, the viewpoints forming a chain (linearly ordered set). This paper deals uniquely with the establishing of some distance d on the set pr(ü) of all the r-repartitions of ü, and also of the approximation of any given r-ordered partition P by the subsets of ü which are the nearest from P, according to the metric d. Any of these subsets may then be considered as convenient for replacing P, and one may interpret this replacement as the result of some terminal decision. Number 143, Fall 1998 Language   French Read the article Title On several forms of the "Condorcet's rule" of aggregation of preferences Author MONJARDET Bernard Keywords None Topics Discrete Mathematics, History of Mathematics, Social Choice Abstract Number 111, Fall 1990, special issue: Condorcet and the votings Language   French Read the article Title On minimal representations of semi-orders and interval orders Author DOIGNON Jean-Paul Keywords None Topics Discrete Mathematics, Orders and preorders Abstract Number 101, Spring 1988, special issue: Measurement theory Language   French Read the article Title On the topology of a phylogenetic tree: theoretical aspects, algorithms and application to textual data analysis Author BARTHELEMY Jean-Pierre, LUONG Nguyen Xuan Keywords None Topics Data Analysis, Discrete Mathematics, Distances, Lexicology Abstract Number 100, Winter 1987, special issue: Combinatorics and data analysis. 2 Language   French Read the article Title F. S. Roberts, "Discrete mathematical models (with applications to social, biological and environmental problems)", Englewwoods Cliffs, Prentice Hall, 1976 Author BRESSON Denis Keywords None Topics Book review, Discrete Mathematics, Pedagogy, Social Sciences Abstract Book review Number 81, Spring 1983 Language   French Document unavailable Page 1 . 2 . 3 . 4 . 5 . 6 . >> Next page Users rights : The entire journal is licensed under a Creative Commons license