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» The duality of computation
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JC
2000
138views more  JC 2000»
13 years 7 months ago
Multivariate Polynomials, Duality, and Structured Matrices
We rst review thebasic properties of the well knownclasses of Toeplitz, Hankel, Vandermonde, and other related structured matrices and reexamine their correlation to operations wi...
Bernard Mourrain, Victor Y. Pan
ECCC
2011
223views ECommerce» more  ECCC 2011»
13 years 2 months ago
A Case of Depth-3 Identity Testing, Sparse Factorization and Duality
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena
INFOCOM
2009
IEEE
14 years 2 months ago
Circuits/Cutsets Duality and a Unified Algorithmic Framework for Survivable Logical Topology Design in IP-over-WDM Optical Netwo
: Given a logical topology and a physical topology , the survivable logical topology design problem in an IP-overWDM optical network is to map the logical links into lightpaths in ...
Krishnaiyan Thulasiraman, Muhammad S. Javed, Guoli...
COMPGEOM
1994
ACM
13 years 11 months ago
Computing Many Faces in Arrangements of Lines and Segments
We present randomized algorithms for computing many faces in an arrangement of lines or of segments in the plane, which are considerably simpler and slightly faster than the previo...
Pankaj K. Agarwal, Jirí Matousek, Otfried S...
CCA
2005
Springer
14 years 1 months ago
A Lambda Calculus for Real Analysis
Abstract Stone Duality is a revolutionary theory that works directly with computable continuous functions, without using set theory, infinitary lattice theory or a prior theory o...
Paul Taylor 0002