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DIAGRAMS
2000
Springer
13 years 9 months ago
Case Analysis in Euclidean Geometry: An Overview
This paper gives a brief overview of FG, a formal system for doing Euclidean geometry whose basic syntactic elements are geometric diagrams, and which has been implimentented as th...
Nathaniel Miller
CCCG
2006
13 years 7 months ago
Computational Euclid
Maarten H. van Emden, Belaid Moa
CSUR
2004
91views more  CSUR 2004»
13 years 5 months ago
Line drawing, leap years, and Euclid
Bresenham's algorithm minimizes error in drawing lines on integer grid points; leap year calculations, surprisingly, are a generalization. We compare the two calculations, exp...
Mitchell A. Harris, Edward M. Reingold
ARITH
2007
IEEE
13 years 9 months ago
An Algorithm for Inversion in GF(2^m) Suitable for Implementation Using a Polynomial Multiply Instruction on GF(2)
An algorithm for inversion in GF(2m ) suitable for implementation using a polynomial multiply instruction on GF(2) is proposed. It is based on the extended Euclid's algorithm...
Katsuki Kobayashi, Naofumi Takagi, Kazuyoshi Takag...
SIAMCOMP
2008
107views more  SIAMCOMP 2008»
13 years 5 months ago
Holographic Algorithms
Leslie Valiant recently proposed a theory of holographic algorithms. These novel algorithms achieve exponential speed-ups for certain computational problems compared to naive algo...
Leslie G. Valiant