Kotsireas, Ilias S.

Applications of Computer Algebra

Kotsireas, Ilias S. - Applications of Computer Algebra, ebook


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Table of contents

1. An Algebraic Method to Compute the Mobility of Closed-Loop Overconstrained Mechanisms
Anissa Ali, Mireille Moinet, Philippe Serre

2. Simplicial Topological Coding and Homology of Spin Networks
Vesna Berec

3. Trial Set and Gröbner Bases for Binary Codes
Mijail Borges-Quintana, Miguel A. Borges-Trenard, Edgar Martínez-Moro

4. Automated Study of Envelopes of One-Parameter Families of Surfaces
Thierry Dana-Picard, Nurit Zehavi

5. Complex Roots of Quaternion Polynomials
Petroula Dospra, Dimitrios Poulakis

6. Mathematical Renormalization in Quantum Electrodynamics via Noncommutative Generating Series
G. H. E. Duchamp, V. Hoang Ngoc Minh, Ngo Quoc Hoan, K. Penson, P. Simonnet

7. The Root Lattice

Juan García Escudero

8. Finding Eigenvalues of Self-maps with the Kronecker Canonical Form
Marc Ethier, Grzegorz Jabłoński, Marian Mrozek

9. Algorithm for Predicting Mathematical Formulae from Linear Strings for Mathematical Inputs
Tetsuo Fukui

10. Algebraic Modelling of Covering Arrays
Bernhard Garn, Dimitris E. Simos

11. Applications of Signatures Curves to Characterize Melanomas and Moles
Anna Grim, Chehrzad Shakiban

12. Contemporary Interpretation of a Historical Locus Problem with the Use of Computer Algebra
Roman Hašek, Zoltán Kovács, Jan Zahradník

13. Computing the Chern–Schwartz–MacPherson Class of Complete Simplical Toric Varieties
Martin Helmer

14. The Generalized Rabinowitsch Trick
Deepak Kapur, Yao Sun, Dingkang Wang, Jie Zhou

15. A Web-Based Quantum Computer Simulator with Symbolic Extensions
O. G. Karamitrou, C. Tsimpouris, P. Mavridi, K. N. Sgarbas

16. Dixon-EDF: The Premier Method for Solution of Parametric Polynomial Systems
Robert H. Lewis

17. Visualization of Orthonormal Triads in Cylindrical and Spherical Coordinates
J. López-García, J. J. Jiménez Zamudio, M. E. Canut Díaz Velarde

18. Geometric and Computational Approach to Classical and Quantum Secret Sharing
Ryutaroh Matsumoto, Diego Ruano

19. Computing the Dixon Resultant with the Maple Package DR
Manfred Minimair

20. Collaborative Computer Algebra
Manfred Minimair

21. States and Channels in Quantum Mechanics Without Complex Numbers
J. A. Miszczak

22. Double Hough Transform for Estimating the Position of the Mandibular Canal in Dental Radiographs
Darian Onchis-Moaca, Simone Zappalá , Smaranda Laura Goţia, Pedro Real

23. Simple and Nearly Optimal Polynomial Root-Finding by Means of Root Radii Approximation
Victor Y. Pan

24. A Fast Schur–Euclid-Type Algorithm for Quasiseparable Polynomials
Sirani M. Perera, Vadim Olshevsky

25. The Use of CAS Piranha for the Construction of Motion Equations of the Planetary System Problem
A. S. Perminov, E. D. Kuznetsov

26. Code-Based Cryptosystems Using Generalized Concatenated Codes
Sven Puchinger, Sven Müelich, Karim Ishak, Martin Bossert

27. Univariate Real Root Isolation over a Single Logarithmic Extension of Real Algebraic Numbers
Adam Strzeboński, Elias P. Tsigaridas

28. On the Complexity of Multivariate Polynomial Division
Joris Hoeven

29. Preserving Syntactic Correctness While Editing Mathematical Formulas
Joris Hoeven, Grégoire Lecerf, Denis Raux

30. About Balanced Application of CAS in Undergraduate Mathematics
Elena Varbanova

31. Some Remarks on Taylor’s Polynomials Visualization Using Mathematica in Context of Function Approximation
Włodzimierz Wojas, Jan Krupa

32. Zooming Algorithms for Accurate Plotting of Functions of Two Real Variables
David G. Zeitoun, Thierry Dana-Picard

Keywords: Mathematics, Commutative Rings and Algebras, Field Theory and Polynomials, Coding and Information Theory, Mathematical Applications in Computer Science, Algebraic Geometry

Publication year
Springer Proceedings in Mathematics & Statistics
Page amount
14 pages
Natural Sciences
Printed ISBN

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