Some tapas of computer algebra

Description

This review shows that the measurement of viscoelastic properties is a powerful tool in the study of thermoreversible gels. Although many conclusions may be drawn about network development and its structure, it is also shown that the use of additional techniques (e.g. small angle S-ray and neutron scattering techniques and optical rotation) and the combination with thermodynamics and network models, widens the insight in the crosslinking process and the gel structure temendously. A general Introduction is followed by eight Chapters concerning synthetic polymers (PVC, PVAL, PMMA, PS, PAN, PE, ABA blockcopolymers and LCP's) and four Chapters concerning biopolymers (gelatin, agarose, carrageenans and gellan gum) Grbner bases, an introduction, A.M. Cohen; symbolic recipes for polynomial system solving, L. Gonzalez-Vega et al; lattice reduction, F. Beukers; factorization of polynomials, F. Beukers; computation in associative and lie algebras, G. Ivanyos and L. Ronyai; symbolic recipes for real solutions, L. Gonzalez-Vega et al; Grbner bases and integer programming, G.M. Ziegler; working with finite groups, H. Cuypers et al; symbolic analysis of differential equations, M. van der Put; Grbner bases for codes, M. de Boer and R. Pellikaan; Grbner bases for decoding, M. de Boer and R. Pellikaan; project 1 - automatic geometry theorem proving, T. Recio et al; project 2 - the Birkhoff interpolation problem, M.-J. Gonzalez-Lopez and L. Gonzalez-Vega; project 3 - the inverse kinematics problem in robotics, M.-J. Gonzalez-Lopez and L. Gonzalez-Vega; project 4 - quaternion algebras, G. Ivanyos and L. Ronyai; project 5 - explorations with the icosahedral group, A.M. Cohen et al; project 6 - the small Mathieu groups, H. Cuypers et al; project 7 - the Golay codes, M. de Boer and R. Pellikaan