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MKM
2005
Springer
15 years 12 months ago
Computational Origami of a Morley's Triangle
Abstract. We present a computational origami construction of Morley’s triangles and automated proof of correctness of the generalized Morley’s theorem in a streamlined process ...
Tetsuo Ida, Hidekazu Takahashi, Mircea Marin
GECCO
2005
Springer
129views Optimization» more  GECCO 2005»
15 years 12 months ago
Search space modulation in genetic algorithms: evolving the search space by sinusoidal transformations
An experimental form of Modulation (Reinterpretation) of the Search Space is presented. This modulation is developed as a mathematical method that can be implemented directly into...
José Antonio Martin H.
ISSAC
2004
Springer
88views Mathematics» more  ISSAC 2004»
15 years 11 months ago
Non-liouvillian solutions for second order Linear ODEs
There exist sound literature and algorithms for computing Liouvillian solutions for the important problem of linear ODEs with rational coefficients. Taking as sample the 363 secon...
L. Chan, E. S. Cheb-Terrab
ISSAC
2004
Springer
102views Mathematics» more  ISSAC 2004»
15 years 11 months ago
FFPACK: finite field linear algebra package
The FFLAS project has established that exact matrix multiplication over finite fields can be performed at the speed of the highly optimized numerical BLAS routines. Since many a...
Jean-Guillaume Dumas, Pascal Giorgi, Clémen...
MPC
2004
Springer
94views Mathematics» more  MPC 2004»
15 years 11 months ago
Streaming Representation-Changers
Unfolds generate data structures, and folds consume them. A hylomorphism is a fold after an unfold, generating then consuming a virtual data structure. A metamorphism is the opposi...
Jeremy Gibbons