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» On a Generalization of the Stone-Weierstrass Theorem
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ORDER
2011
14 years 9 months ago
Order Types of Convex Bodies
We prove a Hadwiger transversal type result, characterizing convex position on a family of non-crossing convex bodies in the plane. This theorem suggests a definition for the ord...
Alfredo Hubard, Luis Montejano, Emiliano Mora, And...
TARK
2007
Springer
15 years 8 months ago
Unawareness, beliefs and games
We define a generalized state-space model with interactive unawareness and probabilistic beliefs. Such models are desirable for many potential applications of asymmetric unawaren...
Aviad Heifetz, Martin Meier, Burkhard C. Schipper
TPHOL
2005
IEEE
15 years 7 months ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison
CDC
2010
IEEE
138views Control Systems» more  CDC 2010»
14 years 9 months ago
Consensus in non-commutative spaces
Convergence analysis of consensus algorithms is revisited in the light of the Hilbert distance. The Lyapunov function used in the early analysis by Tsitsiklis is shown to be the Hi...
Rodolphe Sepulchre, Alain Sarlette, Pierre Rouchon
ICRA
1998
IEEE
118views Robotics» more  ICRA 1998»
15 years 6 months ago
A General Theory for Positioning and Orienting 2D Polygonal or Curved Parts using Intelligent Motion Surfaces
: In this paper we present novel algorithms to compute quasi-static and dynamic equilibrium positions and orientations (if any) of 2D polygonal or curved parts placed on general sh...
Murilo G. Coutinho, Peter M. Will