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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
ISIPTA
2003
IEEE
145views Mathematics» more  ISIPTA 2003»
15 years 11 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 10 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 10 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 6 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