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FCSC
2007
133views more  FCSC 2007»
13 years 9 months ago
Mathematics mechanization and applications after thirty years
The aim of mathematics mechanization is to develop symbolic algorithms for manipulating mathematical objects, proving and discovering theorems in a mechanical way. This paper gives...
Wenjun Wu, Xiaoshan Gao
AML
2005
65views more  AML 2005»
13 years 9 months ago
Axiomatization of local-global principles for pp-formulas in spaces of orderings
es of orderings (an abstract version of real spectras of formally real fields), for which they are expressed as local-global principles: A property of quadratic forms (expressed as...
Vincent Astier, Marcus Tressl
JMIV
2000
125views more  JMIV 2000»
13 years 9 months ago
Recognizing 3D Objects Using Tactile Sensing and Curve Invariants
A general paradigm for recognizing 3D objects is offered, and applied to some geometric primitives (spheres, cylinders, cones, and tori). The assumption is that a curve on the surf...
Daniel Keren, Ehud Rivlin, Ilan Shimshoni, Isaac W...
IPL
2002
118views more  IPL 2002»
13 years 9 months ago
Lower bounds for approximate polygon decomposition and minimum gap
We consider the problem of decomposing polygons (with holes) into various types of simpler polygons. We focus on the problem of partitioning a rectilinear polygon, with holes, int...
Joachim Gudmundsson, Thore Husfeldt, Christos Levc...
JMLR
2012
12 years 8 days ago
Minimax rates for homology inference
Often, high dimensional data lie close to a low-dimensional submanifold and it is of interest to understand the geometry of these submanifolds. The homology groups of a manifold a...
Sivaraman Balakrishnan, Alessandro Rinaldo, Don Sh...