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MKM
2005
Springer
15 years 8 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
ISIPTA
2003
IEEE
145views Mathematics» more  ISIPTA 2003»
15 years 8 months ago
An Extended Set-valued Kalman Filter
Set-valued estimation offers a way to account for imprecise knowledge of the prior distribution of a Bayesian statistical inference problem. The set-valued Kalman filter, which p...
Darryl Morrell, Wynn C. Stirling
ISSAC
1997
Springer
105views Mathematics» more  ISSAC 1997»
15 years 7 months ago
Guarded Expressions in Practice
Computer algebra systems typically drop some degenerate cases when evaluating expressions, e.g., x=x becomes 1 dropping the case x = 0. We claim that it is feasible in practice to...
Andreas Dolzmann, Thomas Sturm
ISSAC
1995
Springer
108views Mathematics» more  ISSAC 1995»
15 years 6 months ago
A Solution to the Extended GCD Problem
An improved method for expressing the greatest common divisor of n numbers as an integer linear combination of the numbers is presented and analyzed, both theoretically and practi...
Bohdan S. Majewski, George Havas
AMC
2007
91views more  AMC 2007»
15 years 3 months ago
Deterministic and random synthesis of discrete chaos
In this paper, two anticontrol algorithms for synthesis of discrete chaos are introduced. In these algorithms, the control parameter of a discrete dynamical system is switched, ei...
Miguel Romera, Michael Small, Marius-F. Danca