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SIAMREV
2010
170views more  SIAMREV 2010»
14 years 7 months ago
Network Properties Revealed through Matrix Functions
The newly emerging field of Network Science deals with the tasks of modelling, comparing and summarizing large data sets that describe complex interactions. Because pairwise affin...
Ernesto Estrada, Desmond J. Higham
103
Voted
CASC
2005
Springer
113views Mathematics» more  CASC 2005»
15 years 6 months ago
Real Solving of Bivariate Polynomial Systems
Abstract. We propose exact, complete and efficient methods for 2 problems: First, the real solving of systems of two bivariate rational polynomials of arbitrary degree. This means ...
Ioannis Z. Emiris, Elias P. Tsigaridas
94
Voted
SIAMSC
2008
113views more  SIAMSC 2008»
15 years 1 months ago
Limited Data X-Ray Tomography Using Nonlinear Evolution Equations
A novel approach to the X-ray tomography problem with sparse projection data is proposed. Non-negativity of the X-ray attenuation coefficient is enforced by modelling it as max{(x)...
Ville Kolehmainen, Matti Lassas, Samuli Siltanen
LICS
2009
IEEE
15 years 7 months ago
The Structure of First-Order Causality
Game semantics describe the interactive behavior of proofs by interpreting formulas as games on which proofs induce strategies. Such a semantics is introduced here for capturing d...
Samuel Mimram
120
Voted
TPHOL
2005
IEEE
15 years 6 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