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COMBINATORICS
2000
71views more  COMBINATORICS 2000»
15 years 4 months ago
Diagonal Checker-jumping and Eulerian Numbers for Color-signed Permutations
Abstract. We introduce color-signed permutations to obtain a very explicit combinatorial interpretation of the q-Eulerian identities of Brenti and some generalizations. In particul...
Niklas Eriksen, Henrik Eriksson, Kimmo Eriksson
ICTIR
2009
Springer
15 years 2 months ago
An Analysis of NP-Completeness in Novelty and Diversity Ranking
Abstract. A useful ability for search engines is to be able to rank objects with novelty and diversity: the top k documents retrieved should cover possible interpretations of a que...
Ben Carterette
JUCS
2010
95views more  JUCS 2010»
14 years 11 months ago
Realisability for Induction and Coinduction with Applications to Constructive Analysis
Abstract: We prove the correctness of a formalised realisability interpretation of extensions of first-order theories by inductive and coinductive definitions in an untyped -calcul...
Ulrich Berger
MCM2
2011
51views more  MCM2 2011»
14 years 7 months ago
Fundamental Passacaglia: Harmonic Functions and the Modes of the Musical Tetractys
Abstract. In this paper we take the three tonal functions tonic, subdominant, dominant out of their usual theoretical domicile – the combinatorics of fifth-related triads enrich...
Karst de Jong, Thomas Noll
NAR
2010
111views more  NAR 2010»
14 years 11 months ago
Babelomics: an integrative platform for the analysis of transcriptomics, proteomics and genomic data with advanced functional pr
Babelomics is a response to the growing necessity of integrating and analyzing different types of genomic data in an environment that allows an easy functional interpretation of t...
Ignacio Medina, José Carbonell, Luis Pulido...