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DIAGRAMS
2000
Springer
15 years 2 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
14 years 11 months ago
Computational Euclid
Maarten H. van Emden, Belaid Moa
CSUR
2004
91views more  CSUR 2004»
14 years 9 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
15 years 1 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»
14 years 9 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