Zobrazeno 1 - 10
of 200
pro vyhledávání: '"Terui, Akira"'
Methods for inverse kinematics computation and path planning of a three degree-of-freedom (DOF) manipulator using the algorithm for quantifier elimination based on Comprehensive Gr\"obner Systems (CGS), called CGS-QE method, are proposed. The first m
Externí odkaz:
http://arxiv.org/abs/2305.12451
We demonstrate computer-assisted proofs of "Kariya's theorem," a theorem in elementary geometry, with computer algebra. In the proof of geometry theorem with computer algebra, vertices of geometric figures that are subjects for the proof are expresse
Externí odkaz:
http://arxiv.org/abs/2304.07491
An effective exact method is proposed for computing generalized eigenspaces of a matrix of integers or rational numbers. Keys of our approach are the use of minimal annihilating polynomials and the concept of the Jourdan-Krylov basis. A new method, c
Externí odkaz:
http://arxiv.org/abs/2209.04807
Autor:
Chi, Boming, Terui, Akira
We propose a modification of the GPGCD algorithm, which has been presented in our previous research, for calculating approximate greatest common divisor (GCD) of more than 2 univariate polynomials with real coefficients and a given degree. In transfe
Externí odkaz:
http://arxiv.org/abs/2205.02984
The solution and implementation of the inverse kinematics computation of a three degree-of-freedom (DOF) robot manipulator using an algorithm for real quantifier elimination with Comprehensive Gr\"obner Systems (CGS) are presented. The method enables
Externí odkaz:
http://arxiv.org/abs/2111.00384
Autor:
Wahl, Charles F., Galic, Nika, Brain, Richard, Vaugeois, Maxime, Weber, Michael, Roe, Kevin J., Stewart, Timothy, Utrup, Nick, Mauldin, Louise, Kenney, Aleshia, Terui, Akira
Publikováno v:
In Biological Conservation March 2024 291
Autor:
Juvigny-Khenafou, Noël P.D., Burgazzi, Gemma, Steiner, Nikita, Harvey, Eric, Terui, Akira, Piggott, Jeremy, Manfrin, Alessandro, Feckler, Alexander, Leese, Florian, Schäfer, Ralf B.
Publikováno v:
In Science of the Total Environment 20 February 2024 912
An implementation and an application of the combination of the genetic algorithm and Newton's method for solving a system of nonlinear equations is presented. The method first uses the advantage of the robustness of the genetic algorithm for guessing
Externí odkaz:
http://arxiv.org/abs/2007.05159
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 2021 Nov . 118(47), 1-10.
Externí odkaz:
https://www.jstor.org/stable/27093995
An efficient algorithm for computing eigenvectors of a matrix of integers by exact computation is proposed. The components of calculated eigenvectors are expressed as polynomials in the eigenvalue to which the eigenvector is associated, as a variable
Externí odkaz:
http://arxiv.org/abs/1811.09149