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ADG
2006
Springer
191views Mathematics» more  ADG 2006»
14 years 4 months ago
Automatic Verification of Regular Constructions in Dynamic Geometry Systems
We present an application of an automatic theorem proving (ATP) in the verification of constructions made with dynamic geometry software (DGS). Given a specification language for g...
Predrag Janicic, Pedro Quaresma
ADG
2006
Springer
177views Mathematics» more  ADG 2006»
14 years 6 months ago
Recognition of Computationally Constructed Loci
Abstract. We propose an algorithm for automated recognition of computationally constructed curves and discuss several aspects of the recognition problem. Recognizing loci means det...
Peter Lebmeir, Jürgen Richter-Gebert
ADG
2006
Springer
220views Mathematics» more  ADG 2006»
14 years 6 months ago
Cylinders Through Five Points: Complex and Real Enumerative Geometry
It is known that five points in 3 generically determine a finite number of cylinders containing those points. We discuss ways in which it can be shown that the generic (complex) nu...
Daniel Lichtblau
ADG
2006
Springer
204views Mathematics» more  ADG 2006»
14 years 6 months ago
Algorithmic Search for Flexibility Using Resultants of Polynomial Systems
This paper describes the recent convergence of four topics: polynomial systems, flexibility of three dimensional objects, computational chemistry, and computer algebra. We discuss...
Robert H. Lewis, Evangelos A. Coutsias