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CORR
2010
Springer
115views Education» more  CORR 2010»
15 years 6 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky
DCC
2008
IEEE
15 years 6 months ago
A characterization of quadrics by intersection numbers
This work is inspired by a paper of Hertel and Pott on maximum non-linear functions [8]. Geometrically, these functions correspond with quasi-quadrics; objects introduced in [5]. ...
Jeroen Schillewaert
CORR
2006
Springer
90views Education» more  CORR 2006»
15 years 6 months ago
Symmetric Subresultants and Applications
Schur's transforms of a polynomial are used to count its roots in the unit disk. These are generalized them by introducing the sequence of symmetric sub-resultants of two pol...
Cyril Brunie, Philippe Saux Picart
ENTCS
2006
169views more  ENTCS 2006»
15 years 6 months ago
Constructing Induction Rules for Deductive Synthesis Proofs
We describe novel computational techniques for constructing induction rules for deductive synthesis proofs. Deductive synthesis holds out the promise of automated construction of ...
Alan Bundy, Lucas Dixon, Jeremy Gow, Jacques D. Fl...
JASSS
2002
85views more  JASSS 2002»
15 years 5 months ago
Opinion dynamics and bounded confidence: models, analysis and simulation
When does opinion formation within an interacting group lead to consensus, polarization or fragmentation? The article investigates various models for the dynamics of continuous opi...
Rainer Hegselmann, Ulrich Krause