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CORR
2007
Springer
113views Education» more  CORR 2007»
13 years 10 months ago
Geometry and the complexity of matrix multiplication
We survey results in algebraic complexity theory, focusing on matrix multiplication. Our goals are (i.) to show how open questions in algebraic complexity theory are naturally pose...
J. M. Landsberg
IWCIA
2004
Springer
14 years 3 months ago
Tensor Algebra: A Combinatorial Approach to the Projective Geometry of Figures
Abstract. This paper explores the combinatorial aspects of symmetric and antisymmetric forms represented in tensor algebra. The development of geometric perspective gained from ten...
David N. R. McKinnon, Brian C. Lovell
AFPAC
2000
Springer
267views Mathematics» more  AFPAC 2000»
14 years 2 months ago
The Lie Model for Euclidean Geometry
Abstract. In this paper we investigate the Lie model of Lie sphere geometry using Clifford algebra. We employ it to Euclidean geometric problems involving oriented contact to simpl...
Hongbo Li
LISP
2002
78views more  LISP 2002»
13 years 9 months ago
Functional Geometry
An algebra of pictures is described that is sufficiently powerful to denote the structure of a well-known Escher woodcut, Square Limit. A decomposition of the picture that is reaso...
Peter Henderson
NSF
1994
Springer
151views Computer Vision» more  NSF 1994»
14 years 2 months ago
Algebraic Geometry and Object Representation in Computer Vision
The goal of algebraic geometry is to gain an understanding of the behaviour of functions related by polynomial relationships. Algebraic curves and surfaces having considerable adva...
Sylvain Petitjean