The Applications of Computer Algebra (ACA) conference covers a wide range of topics from Coding Theory to Differential Algebra to Quantam Computing, focusing on the interactions of these and other areas with the discipline of Computer Algebra.
The Applications of Computer Algebra (ACA) conference covers a wide range of topics from Coding Theory to Differential Algebra to Quantam Computing, focusing on the interactions of these and other areas with the discipline of Computer Algebra. This volume provides the latest developments in the field as well as its applications in various domains, including communications, modelling, and theoretical physics. The book will appeal to researchers and professors of computer algebra, applied mathematics, and computer science, as well as to engineers and computer scientists engaged in research and development.
An algebraic method to compute the mobility of closed-loop
overconstrained mechanisms (Ali, Moinet, Serre).- Simplicial topological
coding and homology of spin networks (Berec).- Trial set and Groebner bases
for binary codes (Borges-Quintana, Borges-Trenard, Martinez-Moro).-
Automated Study of Envelopes of 1-parameter Families of Surfaces
(Dana-Picard, Zehavi).- Complex Roots of Quaternion Polynomials (Dospra,
Poulakis).- Mathematical renormalization in quantum electrodynamics via
noncommutative generating series (Duchamp, Ngoc Minh, Quoc Hoan, Penson,
Simonnet).- The root lattice A2 in the construction of substitution tilings
and singular hypersurfaces (Escudero).- Finding eigenvalues of self-maps with
the Kronecker canonical form (Ethier, Jablonski, Mrozek).- Algorithm for
Predicting Mathematical Formulae from Linear Strings for Mathematical Inputs
(Fukui).- Algebraic Modelling of Covering Arrays (Garn, Simos).- Applications
of Signatures Curves to Characterize Melanomas and Moles (Grim, Shakiban).-
Contemporary interpretation of a historical locus problem with the use of
computer algebra (Hasek, Kovacs, Zahradnik).- Computing the
Chern-Schwartz-MacPherson Class of Complete Simplical Toric Varieties
(Helmer).- The Generalized Rabinowitsch Trick (Kapur, Sun, Wang, Zhou).- A
Web-based Quantum Computer Simulator with Symbolic Extensions (Karamitrou,
Tsimpouris, Mavridi, Sgarbas).- Dixon-EDF: The Premier Method for Solution of
Parametric Polynomial Systems ( Lewis).- Visualization of Orthonormal Triads
in Cylindrical and Spherical Coordinates (Lopez-Garcia, Jimenez Zamudio, Diaz
V.).- Geometric and Computational Approach to Classical and Quantum Secret
Sharing (Matsumoto, Ruano).- Computing the Dixon Resultant with the Maple
Package DR (Minimair).- Collaborative Computer Algebra (Minimair).- States
and channels in quantum mechanics without complex numbers (Miszczak).- Double
Hough transform for estimating the position of the mandibular canal in dental
radiographs (Onchis-Moaca, Zappala, Gotja, Real).- Simple and Nearly Optimal
Polynomial Root- nding by Means of Root Radii Approximation (Pan).- A Fast
Schur-Euclid-type Algorithm for Quasiseparable Polynomials (Perera,
Olshevsky).- The use of CAS Piranha for the construction of motion equations
of the planetary system problem (Perminov, Kuznetsov).- Code-Based
Cryptosystems Using Generalized Concatenated Codes (Puchinger, Muelich,
Ishak, Bossert).- Univariate real root isolation over a single logarithmic
extension of real algebraic numbers (Strzebonski, Tsigaridas).- On the
complexity of multivariate polynomial division (van der Hoeven).- Preserving
syntactic correctness while editing mathematical formulas (van der Hoeven,
Lecerf, Raux).- About balanced application of CAS in undergraduate
mathematics (Varbanova).- Some remarks on Taylors polynomials visualization
using Mathematica in context of function approximation (Wojas, Krupa).-
Zooming algorithms for accurate plotting of functions of two realvariables
(Zeitoun, Dana-Picard).
