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PG
2007
IEEE
14 years 2 months ago
Visualisation of Implicit Algebraic Curves
We describe a new algorithm for the visualisation of implicit algebraic curves, which isolates the singular points, compute the topological degree around these points in order to ...
Lionel Alberti, Bernard Mourrain
CORR
2010
Springer
79views Education» more  CORR 2010»
13 years 7 months ago
A Multi-hop Multi-source Algebraic Watchdog
In our previous work (`An Algebraic Watchdog for Wireless Network Coding'), we proposed a new scheme in which nodes can detect malicious behaviors probabilistically, police th...
MinJi Kim, Muriel Médard, João Barro...
PEPM
2010
ACM
14 years 4 months ago
Optimizing relational algebra operations using generic equivalence discriminators and lazy products
We show how to efficiently evaluate generic map-filter-product queries, generalizations of select-project-join (SPJ) queries in relational algebra, based on a combination of two...
Fritz Henglein
TYPES
2000
Springer
13 years 11 months ago
A Constructive Proof of the Fundamental Theorem of Algebra without Using the Rationals
Abstract. In the FTA project in Nijmegen we have formalized a constructive proof of the Fundamental Theorem of Algebra. In the formalization, we have first defined the (constructiv...
Herman Geuvers, Freek Wiedijk, Jan Zwanenburg
CSL
2010
Springer
13 years 8 months ago
Fibrational Induction Rules for Initial Algebras
This paper provides an induction rule that can be used to prove properties of data structures whose types are inductive, i.e., are carriers of initial algebras of functors. Our res...
Neil Ghani, Patricia Johann, Clément Fumex